[PLEASE HELP] in the function above, the slope of it will be multiplied by 1/2 and it’s y value of its y intercept will be increased by 3 units, which of the graphs below best shows the new function???

[PLEASE HELP] In The Function Above, The Slope Of It Will Be Multiplied By 1/2 And Its Y Value Of Its

Answers

Answer 1

Answer:

The graph at the bottom left in your group of possible answers.

Step-by-step explanation:

Notice that the original given graph corresponds to the equation:

[tex]y=2x+1[/tex]

since the line's slope is 2/1 = 2 and the y-intercept is at the point (0, 1).

So if one modifies the equation multiplying the current slope by 1/2, and the y intercept increased by 3 units, Then the new function would be:

[tex]y=x+4[/tex]

A line of slope 1 and y-intercept at (0, 4)

Notice that the graph at the bottom left in your possible answers is representing such function.

Answer 2

Answer:

Answer Y: or Bottom Left of Given Answers

Step-by-step explanation:


Related Questions

The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized in order to have a normal distribution with a mean of 100 and a standard deviation of 15 points.
As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 16 students with the disorder. Determine the margin of error, m, of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, sigma = 15 points.

Answers

Answer:

The  margin of error is [tex]MOE = 9.68[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is [tex]n= 16[/tex]

     The  standard deviation is [tex]\sigma = 15[/tex]

     The  confidence level is  [tex]C = 99[/tex]%

Generally the level of significance is mathematically evaluated as

     [tex]\alpha = 100 - C[/tex]

     [tex]\alpha = 100 - 99[/tex]

     [tex]\alpha = 1%[/tex]%

   [tex]\alpha = 0.01[/tex]

The  critical value of  [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is  

     [tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]

The  reason obtaining the critical value of  [tex]\frac{\alpha }{2}[/tex] instead of  [tex]\alpha[/tex] is because we are  considering the two tails of the area normal distribution curve which is not inside the 99% confidence interval

   Now the margin of error is evaluated as

              [tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]

substituting values

            [tex]MOE = 2.58 * \frac{15}{\sqrt{16} }[/tex]

           [tex]MOE = 9.68[/tex]

     

Select the equation that could represent the relationship between f(x) and g(x).

Answers

Answer:

Option C.

Step-by-step explanation:

We have to see the common things we have in both graphs and express them:

1. There is a value x=a≠0, where g(a)=f(a)=0

2. The slope of g(x) is of opposite sign of the slope of f(x). Then f(x)=m*g(cx) with m<0.

3. The slope of f(x) seems to be higher than the slope of g(x)

A. As the slopes are different, this is not adequate.

B. As the slopes are different, this is not adequate.

C. This can be adequate, as it applies to all the observations we have made.

D. This is not adequate because f(0)≠g(-2*0).

The only adequate option then is C.

X 2.3.3-PS
A planet has a surface temperature of 803° Fahrenheit. What is this temperature in degrees Celsius?
The formula used to convert from Fahrenheit (F) to Celsius (C) is
(Use integers or fractions for any numbers in the equation.)​

Answers

Answer:

Celcius=( farenheit -32)*5/9

Celcius temperature is= 428.3333°

Step-by-step explanation:

To convert for farenheit to celcius

Celcius=( farenheit -32)*5/9

To calculate a temperature from celcius to farenheit we multiply by 9/5 and then add 32.

Let x be the celcius temperature

X(9/5) + 32 = 803°

X(9/5) = 803-32

X(9/5) = 771

X=( 771*5)/9

X= 3885/9

X= 428.3333

If a line with the slope of -1 goes through the point (-2,-2), then solve for b: y=mx+b

Answers

Answer:

b = -4

Step-by-step explanation:

Well we already have m which is slope which is -1.

And if we start at (-2,-2) and go down using the slope we get -4 as the y intercept or b.

Thus,

-4 is the y intercept or b.

Hope this helps :)

Answer:

b = -4.

Step-by-step explanation:

In this case, y = -2, m = -1, and x = -2.

-2 = (-1) * (-2) + b

-2 = 2 + b

b + 2 = -2

b = -4

Hope this helps!

solve the rational equation 5/x = 4x+1/x^2

Answers

Answer:

x = 1

Step-by-step explanation:

Set up the rational expression with the same denominator over the entire equation.

Since the expression on each side of the equation has the same denominator, the numerators must be equal

5x =4x+1

Move all terms containing x to the left side of the equation.

Hope this can help you

Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

Answers

Answer:

[tex]\boxed{\sf \ \ 25 \ \ }[/tex]

Step-by-step explanation:

Hello,

we can see that

[tex]x^2-10x = x^2-2*5x[/tex]

is the beginning of

[tex]x^2-2*5x+5^2=(x-5)^2[/tex]

so we must add 5*5=25 to both sides of the equation to make the left side a perfect square trinomial

hope this helps

Answer:

25.

Step-by-step explanation:

To find the value that will make the left side a perfect-square trinomial, you need to find (b/2)^2. In this case, b = -10.

(-10 / 2)^2

= (-5)^2

= (-5) * (-5)

= 25

Once you add 25 to both sides, the left side becomes x^2 - 10x + 25, which is equal to (x - 5)^2.

Hope this helps!

There are two frozen yogurt stores in the mall. Both stores sell frozen yogurt by the ounce. Hammy's Froyo charges $2.40 for the container and $0.40 for each ounce of yogurt. Yogurt Palace charges $0.80 for each ounce of yogurt (no charge for the container). Graph the line that shows the cost of frozen yogurt at Hammy's Froyo. Graph the line that shows the cost of frozen yogurt at Yogurt Palace.

Answers

Answer:

The graphs for the lines of the costs are in the attachment. For this answer you have to first determine the equations for each cost. Since Hammy's Froyo charges $2.40 for the container and $.40 for each ounce, the equation would be y=.40x+2.40. For Yogurt Palace, which charges $0.80 for each ounce, the equation would be y=.80x.

.If you add 5 to both the numerator and the denominator of a fraction, you obtain 2/3; however, if '
you subtract 5 from both the numerator and the denominator of the same fraction, you obtain 1/4. For what fraction is this true?

Answers

Answer:

The fraction that this is true for = 7/13

Step-by-step explanation:

From the above question

Let the numerator be represented by a

Let the denominator be represented by b

If you add 5 to both the numerator and the denominator of a fraction, you obtain 2/3

This means:

a + 5/b + 5 = 2/3

Cross Multiply

3(a + 5) = 2(b + 5)

3a + 15 = 2b + 10

Collect like terms

3a - 2b = 10 - 15

3a - 2b = -5..........Equation 1

If you subtract 5 from both the numerator and the denominator of the same fraction, you obtain 1/4

This means:

a - 5/b - 5 = 1/4

Cross Multiply

4(a - 5) = 1(b - 5)

4a - 20 = b - 5

Collect like terms

4a - b = 20 - 5

4a - b = 15..........Equation 2

b = 4a - 15

3a - 2b = -5..........Equation 1

4a - b = 15..........Equation 2

Substitute 4a - 15 for b in equation 1

3a - 2b = -5..........Equation 1

3a - 2(4a - 15) = -5

3a - 8a + 30 = -5

Collect like terms

3a - 8a = -5 - 30

-5a = -35

a = -35/-5

a = 7

Therefore, the numerator of the fraction = 7

Substitute 7 for a in Equation 2

4a - b = 15..........Equation 2

4 × 7 - b = 15

28 - b =15

28 - 15 = b

b = 13

The denominator = b is 13.

Therefore,the fraction which this is true for = 7/13

To confirm

a) If you add 5 to both the numerator and the denominator of a fraction, you obtain 2/3

This means:

a + 5/b + 5 = 2/3

7 + 5/ 13 + 5 = 2/3

12/18 = 2/3

Divide numerator and denominator by of the left hand side by 6

12÷ 6/ 18 ÷ 6 = 2/3

2/3 =2/3

If you subtract 5 from both the numerator and the denominator of the same fraction, you obtain 1/4

This means:

a - 5/b - 5 = 1/4

7 - 5/13 - 5 = 1/4

2/8 = 1/4

Divide the numerator and denominator of the left hand side by 2

2÷2/8 ÷ 2 = 1/4

1/4 = 1/4

From the above confirmation, the fraction that this is true for is 7/13

it takes olivia one minute to swim 1/60 of a kilometer how far can she swim in 12 minutes

Answers

Answer:

1/5 if a kilometer

Step-by-step explanation:

Since it was 1/60 of a kilometer which is 0.0166 of the kilometer.

So In 12 minutes he would cover 0.2 of the kilometer which is 1/5

The distance Olivia swims in 2 minutes is 1/30 km.

Given,

It takes Olivia one minute to swim 1/60 of a kilometer.

We need to find out how far can she swim in 12 minutes.

How to compare two units in proportion?

Suppose if we have,

3 items cost = $9

Cost of one item = $9 / 3 = $3

If in 5 minutes one can walk for 1km

In 10 minutes one can walk:

= (10/5 x 1) km

= 2 km

Find the distance Olivia swims in one minute.

= 1/60 km

Find the distance Olivia swims in 2 minutes.

We have,

1 minute = 1/60 km

Multiply both sides by 2.

2 x 1 minute = 2 x 1/60 km  

2 minutes = 1/30 km

Thus the distance Olivia swims in 2 minutes is 1/30 km.

Learn more about how to find out how much time will it take to skate thirty laps here:

https://brainly.com/question/11339718

#SPJ2

find the value of a. A: 15, B: 19

Answers

Answer:

A: 15

Step-by-step explanation:

The angles are opposite to each other.

Vertically opposite angles are equal in size.

Put up an equation and solve for a.

6a + 10 = 3a + 55

Subtract 3a and 10 on both sides.

6a - 3a = 55 - 10

Combining like terms.

3a = 45

Divide both sides by 3.

a = 45/3

a = 15

The value of a is 15.

Answer:

a = 15

Step-by-step explanation:

=> 6a + 10 = 3a + 55 (Vertically Opposite Angles are congruent)

Combining like terms

=> 6a - 3a = 55 - 10

=> 3a = 45

Dividing both sides by 3

=> a = 15

Please help a girl out !!!!

Answers

Answer:

work is shown and pictured

About 9% of the population has a particular genetic mutation. 600 people are randomly selected.

Find the standard deviation for the number of people with the genetic mutation in such groups of 600.

Answers

Answer:

The mean for all such groups randomly selected is 0.09*800=72.

Step-by-step explanation:

The value of the standard deviation is 7.

What is the standard deviation?

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

The standard deviation is calculated by using the formula,

[tex]\sigma = \sqrt{Npq}[/tex]

N = 600

p = 9%= 0.09

q = 1 - p= 1 - 0.09= 0.91

Put the values in the formulas.

[tex]\sigma = \sqrt{Npq}[/tex]

[tex]\sigma = \sqrt{600 \times 0.09\times 0.91}[/tex]

[tex]\sigma[/tex] = 7

Therefore, the value of the standard deviation is 7.

To know more about standard deviation follow

https://brainly.com/question/475676

#SPJ2

The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes.

Calculate the rate that the water is draining out of the pool.


b) Calculate how much water was in the pool initially.
c) Write an equation for this relationship.
d) Use your equation to calculate how much water is in the pool at
62 minutes.

Answers

Answer:

  a) -900 L/min

  b) 63000 L

  c) v = -900t +63000

  d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

  (t, v) = (20, 45000) and (70, 0)

The rate of change is ...

  Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

__

b) In the first 20 minutes, the change in volume was ...

  (20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

  initial volume -18000 = 45000

  initial volume = 63,000 . . . . liters

__

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

  v = -900t +63000

__

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

  v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

What scenario depicts two independent events

Answers

Step-by-step explanation:

A t

eacher is calling on students to present their reports. He calls on Mario first and then chooses the next presenter from the remaining students. The girls’ basketball team is playing against the boys’ basketball team. The coach chooses a captain for the girls’ team and then chooses a captain for the boys’ team. Yasmin is picking flowers from a garden to create a bouquet. She picks a flower, keeps it for the bouquet, and then she picks another. Felipe is making a dentist appointment. First he chooses the day for his appointment, and then he chooses the time from the available openings.

Answer:

A.The school play opens tonight and it is raining.

B.Neva is hungry and she buys a snack from the concession stand.

C. Ari chooses a partner for a group project and then Ezekial chooses a partner from the remaining classmates.

D.Luka paints during school and he stains his shirt.

Solve for x: [X - 3] + [x + 5]= 10

Answers

Answer:

x = 4

Step-by-step explanation:

[X - 3] + [x + 5]= 10

Remove the parenthesis

That's

x - 3 + x + 5 = 10

Simplify

2x + 2 = 10

2x = 10 - 2

2x = 8

Divide both sides by 2

x = 4

Hope this helps you

A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 10% of the time if the person does not have the virus. (This 10% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive".
(a) Using Bayes’ Theorem, when a person tests positive, determine the probability that the person is infected.
(b) Using Bayes’ Theorem, when a person tests negative, determine the probability that the person is not infected.

Answers

Answer:

A) P(A|B) = 0.01966

B) P(A'|B') = 0.99944

Step-by-step explanation:

A) We are told that A is the event "the person is infected" and B is the event "the person tests positive".

Thus, using bayes theorem, the probability that the person is infected is; P(A|B)

From bayes theorem,

P(A|B) = [P(A) × P(B|A)]/[(P(A) x P(B|A)) + (P(A') x P(B|A'))]

Now, from the question,

P(A) = 1/400

P(A') = 399/400

P(B|A) = 0.8

P(B|A') = 0.1

Thus;

P(A|B) = [(1/400) × 0.8)]/[((1/400) x 0.8) + ((399/400) x (0.1))]

P(A|B) = 0.01966

B) we want to find the probability that when a person tests negative, the person is not infected. This is;

P(A'|B') = P(Not infected|negative) = P(not infected and negative) / P(negative) = [(399/400) × 0.9)]/[((399/400) x 0.9) + ((1/400) x (0.2))] = 0.99944

HELP PLEASE! A Blue Jay wanted to store some acorns for the winter. If she hides 18 acorns per tree, she will be left with four acorns; if she hides 20 acorns per tree, there will be extra space for an additional four acorns (the number of trees is always the same). How many acorns is the Blue Jay going to store for the winter, and in how many trees?

Answers

Answer:

Step-by-step explanation:

Let

T = number of trees

A = number of acorns

Given:

A =  18T + 4 ...........................(1)

A = 20T -4 .........................(2)

Equate A from (1) and (2)

20T-4 = 18T+4

simplify and solve for T

20T - 18T = 4+4

2T = 8

T = 4 trees

A = 18T + 4 = 72+4 = 76 acorns, or

A = 20T - 4 = 80 - 4 = 76 acorns.

Determine if the field Bold Upper F equals 10 yz Bold i plus 10 xz Bold j plus 10 xy Bold k is conservative or not conservative.

Answers

F is conservative if we can find a scalar funciton f such that grad(f) = F.

This would entail

[tex]\dfrac{\partial f}{\partial x}=10yz[/tex]

[tex]\dfrac{\partial f}{\partial y}=10xz[/tex]

[tex]\dfrac{\partial f}{\partial z}=10xy[/tex]

Integrate both sides of the first equation with respect to x :

[tex]f(x,y,z)=10xyz+g(y,z)[/tex]

Differentiate both sides with respect to y :

[tex]\dfrac{\partial f}{\partial y}=10xz=10xz+\dfrac{\partial g}{\partial y}[/tex]

[tex]\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)[/tex]

Differentiate both sides with respect to z :

[tex]\dfrac{\partial f}{\partial z}=10xy=10xy+\dfrac{\mathrm dh}{\mathrm dz}[/tex]

[tex]\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C[/tex]

So we have

[tex]f(x,y,z)=10xyz+C[/tex]

that satisfies

[tex]\nabla f(x,y,z)=\mathbf F(x,y,z)[/tex]

and so F is indeed conservative.

Identify the type of observational study​ (cross-sectional, retrospective, or​ prospective) described below. A research company uses a device to record the viewing habits of about 25002500 ​households, and the data collected todaytoday will be used to determine the proportion of households tuned to a particular children's children's program.. Which type of observational study is described in the problem​ statement

Answers

Answer: cross-sectional study

Step-by-step explanation:

A cross-sectional study is a kind of research study in which a researcher  collects the data from many different persons at a single point in time. In this study researcher observes the variables without influencing them.

Here, A research company uses a device to record the viewing habits of about 2500 ​households (that includes different persons such as adults , children and seniors )

The data collected today(at a single point in time).

If it is used to determine the proportion of households tuned to a particular children's children's program.

The type of observational study is described in the problem​ statement : "cross-sectional"

A hypothesis will be used to test that a population mean equals 9 against the alternative that the population mean is less than 9 with known variance . What is the critical value for the test statistic for the significance level of 0.020

Answers

Answer:

-2.05

Step-by-step explanation:

From the given information,

Let consider [tex]\mu[/tex] to represent the population mean

Therefore,

The null and alternative hypothesis can be stated as :

[tex]H_o :\mu=9[/tex]

[tex]H_1 :\mu<9[/tex]

From the hypothesis , the alternative hypothesis is one tailed (left)

when the level of significance = 0.020, the Z- critical value can be determined from the standard normal distribution table

Hence, the Z-critical value at ∝ = 0.020 is -2.05

HELP!!! Evaluate 8^P7​

Answers

The correct answer is B. 40,320

Explanation:

In mathematics, a permutation refers to all the possible ways of arranging objects or elements in a set, while still considering an order. For example, you can calculate all the possible ways 5 athletes can end in a race as one athlete cannot have both the first and third place. The expression [tex]{8}[/tex][tex]P_{7}[/tex] shows a permutation because the P indicates the expression refers to a permutation. Additionally, this can be solved by using the formula [tex]{n}[/tex][tex]P_{r}[/tex]  =[tex]\frac{n!}{(n-r)!}[/tex]. This means, in the expression presented n = 8 while r = 7. Also, the symbol (!) indicates the number should be multiplied using all whole numbers minor to the given number until you get to 1, which is known as factorial functions. The process is shown below:

[tex]{n}[/tex][tex]P_{r}[/tex]  =[tex]\frac{n!}{(n-r)!}[/tex] [tex]{8}[/tex][tex]P_{7}[/tex] = [tex]\frac{8!}{(8-7) !}[/tex][tex]{8}[/tex][tex]P_{7}[/tex] = [tex]\frac{8!}{1!}[/tex]

[tex]{8}[/tex][tex]P_{7}[/tex] = [tex]\frac{8 x 7 x 6 x 5 x 4 x 3 x 2 x 1}{1}[/tex]   or  8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 1

[tex]{8}[/tex][tex]P_{7}[/tex] = 40320

Limit of f(t) as t approaches 0. f(t) = (t sin(t)) ÷ (1-cos(t))

Answers

Recall the Pythagorean identity,

[tex]1-\cos^2t=\sin^2t[/tex]

To get this expression in the fraction, multiply the numerator and denominator by [tex]1+\cos t[/tex]:

[tex]\dfrac{t\sin t}{1-\cos t}\cdot\dfrac{1+\cos t}{1+\cos t}=\dfrac{t\sin t(1+\cos t)}{\sin^2t}=\dfrac{t(1+\cos t)}{\sin t}[/tex]

Now,

[tex]\displaystyle\lim_{t\to0}\frac{t\sin t}{1-\cos t}=\lim_{t\to0}\frac t{\sin t}\cdot\lim_{t\to0}(1+\cos t)[/tex]

The first limit is well-known and equal to 1, leaving us with

[tex]\displaystyle\lim_{t\to0}(1+\cos t)=1+\cos0=\boxed{2}[/tex]

WILL MARK BRAINLIEST If Alan and Zack can clean a room in 30 minutes when working together, and Alan cleans twice as fast as Zack, how long would it take Alan to clean the room by himself?

Answers

Answer:

45 min

Step-by-step explanation:

Here,

the we take the work as W and Alan's speed as A and Zack's speed as Z.

A = 2Z

W = 30 ( A+Z)

if the time for Alan to done cleaning alone is t then t = W ÷ A

t = ( 30 (A+(A÷2)))÷ A

t = 45 min

I am done .

Brainliest for the correct awnser!!! In general, when solving a radical equation with square roots, you should first isolate the radical and then _____ both sides.A.addB.squareC.multiplyD.subtract

Answers

Answer:

B

Step-by-step explanation:

Answer:

The answer for this Question is Elementary

It is B.

Gabriella drives her car 360 miles and averages a certain speed, If the average speed had been 6 mph less, she could have traveled only 330 miles in the same length of time. What is her average speed?

Answers

Answer:

72mile/hr

Step-by-step explanation:

Let d be distance in mile

Let r be average rate in mile/hr

Let t be time in hr

d = r × t

t = d/r

360/r = t ........1

Also

The question stated that the average speed was 6 less to travel a distance of 330mile at the same time.

Since the average speed is r, hence 6 less that r = r-6 at the same time

Therefore

330/r-6 = same time ( t ) .......2

Equate 1 and 2

360/r = 330/r-6

Cross multiply

360(r-6) = 330(r)

360r - 360×6 = 330r

360r - 2160 = 330r

Collecting like terms

- 2160 = 330r - 360r

- 2160 = - 30r

Divide both sides by - 30

- 2160/ - 30 = - 30r/ - 30

r = 72mile/hr

Hence the average speed is 72mile/hr

NEED HELP AS SOON AS POSSIBLE which interval describes where the graph of the function is negative

Answers

Answer:

2 < x < ∞

Step-by-step explanation:

We want where the value of y is less than zero

The value of the graph is  less than zero is from x=2 and continues until x = infinity

2 < x < ∞

Answer:

[tex]\boxed{2 < x < \infty}[/tex]

Step-by-step explanation:

The value of y should be less than 0 for the graph of the function to be negative.

In the graph, when it startes from x is 2 the value becomes less than 0 and it keeps continuing until x is equal to infinity.

[tex]2 < x < \infty[/tex]

You are dealt two card successively without replacement from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second is a queen. Round to nearest thousandth

Answers

Answer:

0.078

Step-by-step explanation:

The probability P(A) of an event A happening is given by;

P(A) = [tex]\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}[/tex]

From the question;

There are two events;

(i) Drawing a first card which is a king: Let the event be X. The probability is given by;

P(X) = [tex]\frac{number-of-possible-outcomes-of-event-X}{total-number-of-sample-space}[/tex]

Since there are 4 king cards in the pack, the number of possible outcomes of event X = 4.

Also, the total number of sample space = 52, since there are 52 cards in total.

P(X) = [tex]\frac{4}{52}[/tex] = [tex]\frac{1}{13}[/tex]

(ii) Drawing a second card which is a queen: Let the event be Y. The probability is given by;

P(Y) = [tex]\frac{number-of-possible-outcomes-of-event-Y}{total-number-of-sample-space}[/tex]

Since there are 4 queen cards in the pack, the number of possible outcomes of event Y = 4

But then, the total number of sample = 51, since there 52 cards in total and a king card has been removed without replacement.

P(Y) = [tex]\frac{4}{51}[/tex]

Therefore, the probability of selecting a first card as king and a second card as queen is;

P(X and Y) = P(X) x P(Y)

= [tex]\frac{1}{13} * \frac{4}{51}[/tex] = 0.078

Therefore the probability is 0.078

please I need help with this question!

The weight of adult males in Boston are normally distributed with mean 69 kilograms and variance 25 kilograms.

I. what percentage of adult male in Boston weigh more than 72 kilograms?

ii. what must an adult male weigh in order to be among the heaviest 10% of the population?

Thank you in advance!​

Answers

Answer:

I. 60%

II. 75.4 kg

Step-by-step explanation:

We will use the z-scores and the standard normal distribution to answer this questions.

We have a normal distribution with mean 69 kg and variance 25 kg^2 (therefore, standard deviation of 5 kg).

I. What percentage of adult male in Boston weigh more than 72 kg?

We calculate the z-score for 72 kg and then calculate the associated probability:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{72-69}{5}=\dfrac{3}{5}=0.6\\\\\\P(X>72)=P(z>0.6)=0.274[/tex]

II.  What must an adult male weigh in order to be among the heaviest 10% of the population?

We have to calculate tha z-score that satisfies:

[tex]P(z>z^*)=0.1[/tex]

This happens for z=1.28 (see attachment).

Then, we can calculate the weight using this transformation:

[tex]X=\mu+z^*\cdot\sigma=69+1.28\cdot 5=69+6.4=75.4[/tex]

Find a power series for the function, centered at c. f(x) = 1 9 − x , c = 4 f(x) = [infinity] n = 0 Incorrect: Your answer is incorrect. Determine the interval of convergence. (Enter your answer using interval notation.)

Answers

Looks like the given function is

[tex]f(x)=\dfrac1{9-x}[/tex]

Recall that for |x| < 1, we have

[tex]\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n[/tex]

We want the series to be centered around [tex]x=4[/tex], so first we rearrange f(x) :

[tex]\dfrac1{9-x}=\dfrac1{5-(x-4)}=\dfrac15\dfrac1{1-\frac{x-4}5}[/tex]

Then

[tex]\dfrac1{9-x}=\displaystyle\frac15\sum_{n=0}^\infty\left(\frac{x-4}5\right)^n[/tex]

which converges for |(x - 4)/5| < 1, or -1 < x < 9.

if sqrt((2GM)/r) = 11 km/h, what does sqrt(((8G)(M/81))/r) equal?

Answers

Answer:

((23GM)

Step-by-step explanation:

it goes for this because 23gm = 40pm

Other Questions
Compare and contrast the treatment of nature as a theme in the poems "Elegy Written in a Country Churchyard'' by Thomas Gray and "Tintern Abbey" by William Wordsworth. Use examples from each poem to support your opinion. PLEASE I NEED THE ANSWERS ASAP!!! Simplify the following:1.7 72.18 23.454.50/55.22 456.48 - 127.(2-3) (1+3)) what was the primary prupose of the first earth day celebration? Liquid octane reacts with gaseous oxygen gas to produce gaseous carbon dioxide and gaseous water . What is the theoretical yield of carbon dioxide formed from the reaction of of octane and of oxygen gas Identify the significance of exploration: Columbus, Marquette, Hudson. Please Help The definition of the term map is __________. A.a tool used to estimate distances B.a set of lines that show elevation and slope C.a visual representation of the Earths surface D.a tool that displays cardinal directions Please answer in two minutes _____________which refers to a process that continuously identifies, understands, and adapts outstanding processes found inside and outside an organization. Well-run organizations compare not only against competitors (where possible) but against best-in-class organizations as well. education lays the foundation for development explain this statement with example.. plz answer fast it's urgent please What concept do both speeches have in common? A. The world will never remember how hard they worked. B. People will write down all of their names so that no one will confuse the situation. C. Women should have the right to vote because they are legally included as citizens of this country, too. D. Perhaps names will be forgotten, but the sacrifice for freedom will always be appreciated. Passage: Nobel Peace Prize Acceptance:Most of these people will never make the headline and their names will not appearin Who's Who. Yet when years have rolled past and when the blazing light of truthis focused on this marvellous age in which we livemen and women will know andchildren will be taught that we have a finer land, a better people, a more noblecivilizationbecause these humble children of God were willing to suffer forrighteousness' sake. "Martin Luther King Jr. Acceptance Speech," Nobelprize.org, accessedFebruary 14, 2013,http://www.nobelprize.org/nobel_prizes/peace/laureates/1964/kingacceptance_en.html.Gettysburg Address:The world will little note, nor long remember what we say here, but it can neverforget what they did here. It is for us the living, rather, to be dedicated here to theunfinished work which they who fought here have thus far so nobly advanced. It israther for us to be here dedicated to the great task remaining before usthat fromthese honored dead we take increased devotion to that cause for which they heregave the last full measure of devotionthat we here highly resolve that these deadshall not have died in vain. What is heron's formula A particular movie theater charges $7.00 per adult and $4.50 per child. Suppose 450 people attended a movie and the total revenue from ticket sales was $2650. Write linear equations for the two constraints, where z represents the number of adults attending themovie and y represents the number of children attending the movie. 1= ,2=? Match each Egyptian class to its status in Egyptian society. What is used to move fluid across the cells surface, or move the cell itself if it does not have flagella. A. Cilia B. Sodium-potassium pump C. Microtubules D. Flagella Does the growing number of interest groups support Byrds conclusion? Give your answer in the form of a brief paragraph Urelia made a deposit to her checking account. She had $104.00 in currency; $7.64 in coins; and checks for $83.29, $257.77, $1,332.68, and $3,984.05. What was her total deposit? Assume that the parent company acquires its subsidiary by exchanging 55,000 shares of its Common Stock, with a market value on the acquisition date of $40 per share, for all of the outstanding voting shares of the investee. In its analysis of the investee company, the parent values all of the subsidiary's assets and liabilities at an amount equaling their book values except for a building that it feels is undervalued by $500,000, an unrecorded License Agreement that the parent values at $250,000, and an unrecorded Customer List owned by the subsidiary that the parent values at $100,000.Any further discrepancy between the purchase price and the book value of the subsidiary's Stockholders' Equity is attributed to expected synergies to be realized by the consolidated company as a result of the acquisition.Given the following acquisition-date balance sheets of the parent and subsidiary, at what amounts will each of the following be reported on the consolidated balance sheet?Balance SheetParent SubsidiaryAssets Cash $910,500 $201,600Accounts receivable 384,000 417,600Inventory 582,000 536,400Equity investment 2,200,000 Property, plant and equipment (PPE), net 2,799,600 992,400$6,876,100 $2,148,000Liabilities and stockholders' equity Accounts payable $188,100 $127,000Accrued liabilities 220,800 221,000Long-term liabilities 1,000,000 600,000Common stock 220,000 120,000APIC 3,740,000 150,000Retained earnings 1,507,200 930,000$6,876,100 $2,148,000 What happens when white light shines through a translucent, red, glass window? a) All colors of light except red are transmitted through the glass. b) Red light is transmitted through and reflected by the glass c) Red light is absorbed by the glass d) all colors except red are reflected by the glass Evaluate \dfrac32y-3+\dfrac53z 2 3 y3+ 3 5 zstart fraction, 3, divided by, 2, end fraction, y, minus, 3, plus, start fraction, 5, divided by, 3, end fraction, z when y=6y=6y, equals, 6 and z=3z=3z, equals, 3. How many mL of calcium hydroxide are required to neutralize 25.0 mL of 0.50 Mnitric acid?