Answer:
We know that for a standard dice the probability of obtain a 6 is:
[tex] P=\frac{1}{6}[/tex]
And for this case our value of x=3 and replacing we got:
[tex] f(x=3) = (1- \frac{1}{6})^{3-1} \frac{1}{6}[/tex]
[tex]f(x=3)=\frac{25}{36} \frac{1}{6}= \frac{25}{216}= 0.116[/tex]
Step-by-step explanation:
For this case we have the following function:
[tex] f(x) = (1-P)^{x-1} P[/tex]
We want to find the approximate probability of rolling a standard die and getting the first 6 on the 3rd try
We know that for a standard dice the probability of obtain a 6 is:
[tex] P=\frac{1}{6}[/tex]
And for this case our value of x=3 and replacing we got:
[tex] f(x=3) = (1- \frac{1}{6})^{3-1} \frac{1}{6}[/tex]
[tex]f(x=3)=\frac{25}{36} \frac{1}{6}= \frac{25}{216}= 0.116[/tex]
Find the work done by the force field F(x, y) = xi + (y + 5)j in moving an object along an arch of the cycloid r(t) = (t − sin(t))i + (1 − cos(t))j, 0 ≤ t ≤ 2π.
Integrate the force field along the given path (call it C):
[tex]W=\displaystyle\int_C\mathbf F(x,y)\cdot\mathrm d\mathbf r=\int_0^{2\pi}\mathbf F(x(t),y(t))\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^{2\pi}\bigg((t-\sin t)\,\mathbf i+(6-\cos t)\,\mathbf j\bigg)\cdot\bigg((1-\cos t)\,\mathbf i+\sin t\,\mathbf j\bigg)\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^{2\pi}(t-t\cos t+5\sin t)\,\mathrm dt=\boxed{2\pi^2}[/tex]
By direct calculation we will find that the work done is equal to 2π²
The formula to compute the work done is given by:
[tex]W = \int\limits^a_b {F(x(t), y(t))\cdot\frac{dr(t)}{dt} } \, dt[/tex]
Here we have:
[tex]r(t) = (t - sin(t))i + (1 - cos(t))j[/tex]
This means that:
[tex]x(t) = (t - sin(t))\\y(t) = (1 - cos(t))\\\\\frac{dr(t)}{dt} = (1-cos(t))i + sin(t)j = (1-cos(t), sin(t))[/tex]
And we know that 0 ≤ t ≤ 2π, so b = 0 and a = 2π
Replacing that in the work integral we get:
[tex]W = \int\limits^{2\pi}_0 {(t - sin(t), 1 - cos(t) + 5)\cdot(1-cos(t), sin(t))} \, dt \\\\W = \int\limits^{2\pi}_0 {(t - sin(t), 6 - cos(t))\cdot(1-cos(t), sin(t))} \, dt\\\\W = \int\limits^{2\pi}_0 {(-t*cos(t) +t-sin(t)+ cos(t)*sin(t)+ 6*sin(t) - cos(t)*sin(t) )} \, dt\\\\W = \int\limits^{2\pi}_0 {(-cos(t)*t + 5*sin(t) + t)} \, dt \\\\[/tex]
the sin(t) integral can be removed because it is equal to zero, so we get:
[tex]W = \int\limits^{2\pi}_0 {(-cos(t)*t + t)} \, dtW = [(-t*sin(t) - cos(t)) + \frac{t^2}{2} ]^{2\pi}_0\\\\W = -2\pi*sin(2\pi) - cos(2\pi) + 0*sin(0) + cos(0) + \frac{(2\pi)^2}{2} - \frac{(0)^2}{2}\\\\W = 2\pi^2[/tex]
If you want to learn more, you can read:
https://brainly.com/question/22599382
35=7x Equals What? Like this is os hard for me
Answer:
x=5
Step-by-step explanation:
35 = 7x
Divide each side by 7
35/7 = 7x/7
5 = x
I got the 90 and 8.9 for them but it’s wrong. I really confused now. What is the right answer??? Can someone explain to me ASAP?!!!!
Answer:
[tex] A = 70.6 [/tex] ≈ 71°
[tex] x = 36.5 [/tex]
Step-by-step explanation:
Step 1: Use the Law of sine to find A
[tex] \frac{sin(A)}{38} = \frac{sin(44)}{28} [/tex]
Cross multiply:
[tex] sin(A)*28 = sin(44)*38 [/tex]
[tex] sin(A)*28 = 0.695*38 [/tex]
Divide both sides by 28:
[tex] \frac{sin(A)*28}{28} = \frac{0.695*38}{28} [/tex]
[tex] sin(A) = 0.9432 [/tex]
[tex] A = sin^{-1}(0.9432) [/tex]
[tex] A = 70.6 [/tex]
A ≈ 71°
Step 2: find the measure of the angle opposite side x
Angle opposite side x = 180 - (71+44) (sum of triangle)
= 180 - 115 = 65°
Step 3: find x using the law of sines
[tex] \frac{x}{sin(65)} = \frac{28}{sin(44)} [/tex]
[tex] \frac{x}{0.906} = \frac{28}{0.695} [/tex]
Multiply both sides by 0.906
[tex] x*0.695= 28*0.906 [/tex]
Divide both sides by 0.695
[tex] \frac{x*0.695}{0.695} = \frac{28*0.906}{0.695} [/tex]
[tex] x = \frac{28*0.906}{0.695} [/tex]
[tex] x = 36.5 [/tex]
When a button is pressed, a computer program outputs a random even number greater than 0 less than 8. You press the button 4 times.
Can some help me with this?
Answer:
Well all even numbers between 0 and 8 are,
2, 4, 6, 8
Meaning if the button is pressed 4 times 2, 4, 6, or 8 will be outputted.
When press button 4 times. Then output of the program will be, [tex](2,4,6,2)[/tex]
Even number:Any number that can be exactly divided by 2 is called as an even number.
Given that, When a button is pressed, a computer program outputs a random even number greater than 0 less than 8.
Even numbers greater than 0 less than 8 are,
[tex]=2,4,6[/tex]
When press button 4 times. Then output of the program will be,
[tex]=(2,4,6,2)[/tex]
Learn more about the even numbers here:
https://brainly.com/question/581879
use the cubic model y=x^3+x^2+x to estimate the value of y when x = 10. a 910 b. 110 c. 1210 d. 3150
Answer:
y = 1110
Step-by-step explanation:
In the above question, we are given the cubic model
y=x³ +x² + x
We are to solve for y when x = 10
Hence,
y = 10³ + 10² + 10
y = 1000 + 100 + 10
y = 1110
Therefore, the value of y when x is 10 using the cubic model of ' y =x³ +x² + x' is 1110.
Edgar accumulated $5,000 in credit card debt. If the interest rate is 20% per year and he does not make any payments for 2 years, how much will he owe on this debt in 2 years by compounding continuously? Round to the nearest cent.
Answer:
Loan amount due after 2 years =$7,387.28
Explanation:
The amount due on the loan would be equal to the total accrued interest plus the accumulated amount amount.
Note that, since Edgar did not pay any amount off the loan in the course of the 2 years, the interest due per quarter would be equal to the quarterly interest rate multiplied by the unpaid balance till date.
To determine the amount due, we would compound $5,000 at a quarterly interest rate of for 8 quarters. The formula below would suffice
Loan amount due = loan balance × (1+r)^(n)
Quarterly interest rate -20%/4 =5%, number of quarters - 2× 4 =8, loan balance - 5,000
Loan amount due = 5,000 × (1.05)^(8)
= 7,387.28
Loan amount due after 2 years =$7,387.28
Step-by-step explanation:
Answer:
7434.57
Step-by-step explanation:
If a person with a height of 58 inches takes 2,601 steps per mile, a person with a height of 64 inches takes 2,357 steps per mile, and a person with a height of 76 inches takes 1,985 steps per mile, what is the average number of steps of three 58-inch people, five 64-inch people, and two 76-inch people. Afterwards, find the weighted average number of steps. How does the average compare with the weighted average? Which value is a more accurate representation of the data?
Answer:
1. Average Number of Steps of
= Total of the different steps / divided by 3
= 6,943/3
= 2,314.3 steps
2. Weighted Average Number of Steps of 3, 58-inch, 5, 64-inc, and 2, 76-inch people
= Total steps by the 10 people divided by 10
= 23,558/10
= 2,355.8 steps
3. The difference is not much.
4. The weighted average (2,355.8 steps) is a more accurate representation of the data. The calculation of the ordinary average steps is more confusing than the weighted average steps.
Step-by-step explanation:
1. Calculation of the Weighted Average Number of Steps of:
3, 58-inch people = 3 x 2,601 = 7,803
5, 64-inch people = 5 x 2,357 = 11,785
2, 76-inch people = 2 x 1,985 = 3,970
10 persons' total steps = 23,558
2. Calculation of the ordinary average:
58-inch people = 2,601
64-inch people = 2,357
76-inch people = 1,985
Total steps 6,943
TIMERBUATING
09:56
The figure is a parallelogram. One diagonal measures 28
units
Is the figure a rectangle? Explain
20
21
No, t is not a rectangle because the diagonals are
congruent
O No, it is not a rectangle because the sides of the
parallelogram do not meet at night angles.
o Yes, tis a rectangle because the diagonals are
congruent
O Yes, it is a rectangle because the sides of the
parallelogram do meet at right angles.
21
20
Save and Exit
Answer:
No, it is not a rectangle because the sides of the
parallelogram do not meet at night angles (B)
Step-by-step explanation:
The diagonal of the rectangle = 28
The two sides of the figure measures 20 and 21 units respectively.
To determine if the shape is a rectangle, we would apply Pythagoras theorem
hypotenuse² = opposite² + adjacent²
hypotenuse = diagonal = 28
The other two sides represent the opposite and adjacent
28² = 20² + 21²
784 = 400 + 441
784 ≠ 841
The square of the diagonal is not equal to the sum of the square of the other two sides (length and width). And as a result of this, the triangle isn't a right angled triangle and the sides of the parallelogram would not meet at right angles.
Therefore, the figure isn't a rectangle.
Option B: No, it is not a rectangle because the sides of the
parallelogram do not meet at night angles.
If Sara drives 60 miles per hour, it takes her 2 hours to reach her parents' house. Write an equation describing the relationship between Sara's speed and the time it takes her to get to her parents' house. (Note that speed and time are inversely proportional).
Question 17 options:
A)
s = 120∕t
B)
s = 60∕t
C)
s = 24∕t
D)
s = 30∕t
Answer: (A) .
because if you travel 60 miles per hour and i takes 2 hours yto get there you have to double 60 miles so 120 miles per 2 hours
The relationship between Sara's speed and the time it takes her to get to her parent's house will be s = 120/t so option (A) will be correct.
What are work and time?Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.
Another illustration of labor is when you finish your meal in an hour, which means that you finished your work in an hour. In essence, work is the length of time it took you to complete any task.
Given that Sara drives 60 miles in 2 hours.
Distance covered by sara is = 60(2) = 120 miles.
We know that
speed = distance/time
Let's say speed is S time is t then
⇒ S = 120/t so the correct equation of the given question will be this.
For more information about the work and time relation
brainly.com/question/6912604
#SPJ5
3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
The deck is 8p meters wide.
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck.
Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Computing a two-independent sample t-test is appropriate when?
A) different participants are assigned to each group
B) the population variance is unknown
C) participants are observed one time
D) all of the above
Answer:
D) all of the above
Step-by-step explanation:
The two-independent sample t-test is used to evaluate the differences in the means of two independent groups to ascertain if there is indeed a difference in the population means. So, the population variance is unknown before this test is done. To carry out this type of test, the researcher should ensure that there are no similarities between participants in the two groups so that there would be no influences between the groups. The participants in the research should be randomly selected.
The participants are observed one time to ensure that the same conditions hold for both groups and that there is a balance in the research blueprint.
A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of 36 adult male subjects.The mean and standard deviation of the reaction times (in seconds) for the fifty adult male subjects were 1.82 seconds and 0.28 seconds respectively. Previous psychological studies have shown that the true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds. Does the sample evidence indicate that the mean reaction time for sleep-deprived adult males is longer than that of non-sleep-deprived adult males.
A. H0:μ=1.82;Ha:μ<1.82
B. H0:μ=1.70;Ha:μ<1.70
C. H0:μ=1.82;Ha:μ>1.82
D. H0:μ=1.70;Ha:μ>1.70
E. None of the above
Answer:
D. [tex]H_{0}[/tex] : μ = 1.70, [tex]H_{a}[/tex] : μ > 1.70
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis
The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
Solve the quadratic equation 4x2 – 2x = 9 using the quadratic formula
Answer:
x= 1 + or - sr37/4 got it from a sitr
Here you go.
I really hope I helped. Good luck.
A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x+6y=7.50 10x+5y=8.75
Answer:
x = $0.50
y= $0.75
Step-by-step explanation:
1. Multiply the equations to have the same coefficients
5(6x + 6y = 7.5) → 30x + 30y = 37.5
3(10x + 5y = 8.75) → 30x + 15y = 26.25
2. Subtract the equations
30x + 30y = 37.5
- 30x + 15y = 26.25
15y = 11.25
3. Solve for y by dividing both sides by 15
y = 0.75
4. Plug in 0.75 for y into one of the equations
6x + 6(0.75) = 7.5
5. Simplify
6x + 4.5 = 7.5
6. Solve for x
6x = 3
x = 0.5
Answer:
The cost of one apple is $0.5
The cost of one orange is $0.75
Step-by-step explanation:
Given information
The cost of an apple = [tex]x[/tex]
The cost of an orange = [tex]y[/tex]
Equation to find the values are:
[tex]6x=6y=7.50\\10x+5y=8.75[/tex]
Now, convert the equations to have same coefficient as:
[tex]5(6x=6y=7.50)\\=30x+30y=37.5\\3(10x+5y=8.75)\\=30x+15y=26.25[/tex]
Now, on solving the above equation by subtracting one from another.
We get,
[tex]15y=11.25\\y=0.75[/tex]
Now , put the value of [tex]y[/tex] in one equation to find the value of [tex]x[/tex].
As,
[tex]6x+4.5=7.5\\x=0.5[/tex]
Hence,
The cost of one apple is $0.5
The cost of one orange is $0.75
For more information visit
https://brainly.com/question/11897796?referrer=searchResults
Find the slope of the line in each figure. If the slope of the line is undefined, it indicates. Then write an equation for the given line. ASAP !! NEED IT
Answer:
-3
Step-by-step explanation:
Easy way:
Between the two marked points, you can count that you need to go down 6 and over 2. That means the rise/run is -6/2, or -3.
Full way:
Starting Point: (-1,3)
Ending Point: (1,-3)
Slope is given by (y₂-y₁)/(x₂-x₁)
To calculate this, (-3-(3))/(1-(-1))
Clean up the double negatives to get (-3-3)/(1+1), AKA -6/2
-6/2 = -3.
Need Help with these (Giving brainiest if you can solve these)
Answer: try using sine for this equasion
Step-by-step explanation:
The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would pay when purchasing the furniture set in either state. Alabama Florida State of Alabama: 4.225% County Tax: 1.375% City Tax: 3.0% State of Florida: 6.5% County Tax: 1% City Tax: 1.625% Which statement is true? A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations.
Answer:
A: True
B, C and D: False
Step-by-step explanation:
We have a total sales tax for Alabama that is:
[tex]T_A=4.225+1.375+3=8.6[/tex]
The total sales tax for Florida is:
[tex]T_F=6.5+1+1.625=9.125[/tex]
The total sales tax is greater in Florida than in Alabama.
A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE
The sales tax difference in this purchase can be calculated as:
[tex]1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8[/tex]
B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)
C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)
The amount of sales tax in Alabama is:
[tex]ST_A=1500\cdot T_A=1500\cdot 0.086=129[/tex]
D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).
Use the graph to solve the given system of equations, then enter your solution below. {x−3y=−3x+y=5
Answer:
Step-by-step explanation:
Given the system of equation x−3y=−3 and x+y=5, we can solve for x and y by solving the equation simultaneously using the substitution method.
x−3y=−3_____________ 1
x+y=5 ______________2
From equation 2; x = 5- y ________ 3
Substitute equation 3 into equation 1
Since x - 3y = -3
(5-y)-3y = -3
5-y-3y = -3
5-4y = -3
Subtract 5 from both sides of the equation
5-4y-5 = -3-5
-4y = -8
Divide both sides by -4
-4y/-4 = -8/-4
y = 2
Substitute y = 2 into equation 2 to get the value of y;
From equation 2, x+y = 5
x+2 = 5
Subtract 2 from both sides of the equation
x+2-2 = 5-2
x = 3
Hence the value of x and y from the graph will be 3 and 2 respectively.
For f(x) = 4x + 1 and g(x) = x2 – 5, find (f – g)(x).
Answer:
(f – g)(x) = - x² + 4x + 6Step-by-step explanation:
f(x) = 4x + 1
g(x) = x² – 5
To find (f – g)(x) subtract g(x) from f(x)
That's
(f – g)(x) = 4x + 1 - ( x² - 5)
Remove the bracket
(f – g)(x) = 4x + 1 - x² + 5
Group like terms
(f – g)(x) = - x² + 4x + 1 + 5
We have the final answer as
(f – g)(x) = - x² + 4x + 6Hope this helps you
Which situation is most likely to have a constant rate of change?
HELP
Answer:
the answer i would go with is A
Good luck on your Test :)
Step-by-step explanation:
B doesnt really have a constant rate of change as it depends on how many games happen and usually the longer an arena stays open has no correlation on how many people attend the games there
C has no real constant rate of change as it always ends up stopping after a little bit, and the change is usually not a constant one
D this could count, but since its a number that would go down if its not brought back up, its not a real constant rate of change, since it cant go below or above a certain range
so by process of elimination, A is the answer. also seeing as how its saying the distance with the number of times, that means that its an objective thing, as a track is a set distance, and the distance of a run or the track cant be affected by time or anything and could technically never end. so its a constant thing, meaning the longer the distance is, the higher the laps around the track are, and it could theoretically go on forever.
i hope this helped answer your question! :)
Now find the product (2+ sqrt 5)(2- sqrt 5). The product is ...
the answer is -1
Answer:
-1
Step-by-step explanation:
Thanks
The product of expression (2 + √5) (2 - √5) is,
⇒ (2 + √5) (2 - √5) = - 1
We have to given that,
An expression to simplify,
⇒ (2 + √5) (2 - √5)
Now, We can simplify it by using formula,
⇒ (a - b) (a + b) = a² - b²
Hence, We get;
⇒ (2 + √5) (2 - √5)
⇒ (2² - √5²)
⇒ 4 - 5
⇒ - 1
Therefore, The product of expression (2 + √5) (2 - √5) is,
⇒ (2 + √5) (2 - √5) = - 1
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ6
evaluate the expression 2(5 -(1/2m)) - 7 where m =4
Answer:
-1
Step-by-step explanation:
since m=4
we substitute in eqn which is 2(5-(1/2m))
2(5-(1/2(4)))
2(5-2)-7
=-1
At the city museum, child admission is $ 5.30 and adult admission is $ 9.40 . On Sunday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1206.00 . How many child tickets were sold that day?
Answer:
36 tickets
Step-by-step explanation:
At a city museum, child tickets are sold for $5.30, and adult tickets are sold for $9.40
The total sales that were made are $1206
Let x represent the number of child tickets that were sold
Let y represent the number of adult tickets that was sold
5.30x +9.40y= 1206
The number of adult tickets sold was three times greater than the child tickets
y= 3x
Substitute 3x for y in the equation
5.30x + 9.40y= 1206
5.30x + 9.40(3x)= 1206
5.30x + 28.2x= 1206
33.5x= 1206
Divide both sides by the coefficient of x which is 33.5
33.5x/33.5= 1206/33.5
x = 36
Hence the number of child tickets that were sold that day is 36 tickets
What is the complete factorization of 36y2 − 1?
Answer:
36y² - 1
Factorize
We have the final answer as
[tex](y - \frac{1}{6} )(36y + 6)[/tex]
Hope this helps you
A Canadian longitudinal study1 examined whether giving antibiotics in infancy increases the likelihood that the child will be overweight later in life. The study included children and found that of the children had received antibiotics during the first year of life. Test to see if this provides evidence that more than of Canadian children receive antibiotics during the first year of life. Show all details of the hypothesis test, including hypotheses, the standardized test statistic, the -value, the generic conclusion using a significance level, and a conclusion in context.
1. Clearly state the null and alternative hypotheses.
2. Calculate the test statistic and p-value.
3. What is the conclusion?
4. Do we have evidence to conclude that more than 70% of Canadian infants receive antibiotics?
A. Yes
B. No
Answer:
1. [tex]H_{0}[/tex] : p = 0.70 , [tex]H_{a}[/tex] : p > 0.70
2. Test Statistic : 0.54 , P value : 0.2946
3. Fail to reject null Hypothesis
4. No.
Step-by-step explanation:
1. Null hypothesis is 70% of children receive antibiotics.
Alternative hypothesis is more than 70% of children receive antibiotics.
2. Test statistic is calculated as;
z = [tex]\frac{p (1 - p)}{\sqrt{\frac{p (1-p}{n} )} }[/tex]
z = [tex]\frac{0.01}{0.0185}[/tex]
z = 0.54
3. p value is calculated as;
1 - right tailed probability
1 - 0.7054 = 0.2946
Simplify the polynomial, then evaluate for x=3 x^2+2x-3-2x^2+x+4
Answer:
The answer is
19Step-by-step explanation:
x² + 2x - 3 - 2x² + x + 4
Group like terms
That's
x² - 2x² + 2x + x - 3 + 4
Simplify
- x² + 3x + 1
when x = 3
We have
(-3)² + 3(3) + 1
9 + 9 + 1
18 + 1
19
Hope this helps you
A poll shows that 41% of voters in a city favor of a $0.0.1 tax increase. If 25 voters are selected at random, what is that exactly 15 of them will vote in favor of the initiative?
Answer:
The probability is 0.026 to 3 d.p
Step-by-step explanation:
To calculate this , we shall be using the Bernoulli approximation.
let P = percentage of voters supporting the increase = 41% = 41/100 = 0.41
q = percentage of voters not supporting = 100-41% = 59% = 59/100 = 0.59
Now we want to calculate that exactly 15 out of 25 will vote in favor
Mathematically that would be ;
25C15 p^15 q^10
= 25C15 0.41^15 0.59^10
= 0.025981307443 or simply 0.026 to 3 decimal places
What is the product of the polynomials below? (4x^2-2x-4)(2x+4)
Answer: 8x³ + 12x² - 16x - 16
Step-by-step explanation:
(4x² - 2x - 4)(2x + 4)
= (2x + 4)(4x² - 2x - 4)
= 2x(4x² - 2x - 4) + 4(4x² - 2x - 4)
= 8x³ - 4x² - 8x + 16x² - 8x - 16
= 8x³ + (-4x² + 16x²) + (-8x - 8x) - 16
= 8x³ + 12x² - 16x - 16
In a four-digit number, the sum of the thousands and hundred digits is 3.
The tens digit is 4 times the hundreds digit.
The ones digit is seven more than the thousands digit.
No two digits are equal.
What is the four-digit number?
Answer: 2149
Step-by-step explanation: If the sum of the first two digits is 3, the choices must be 1 and 2 (or 2 and 1) In order to satisfy the other specifications, "the tens digit is 4 times the hundreds digit." the hundreds digit can't be 2 because that would make the tens dight 8. and the ones digit would also have to 8 in order to satisfy the "seven more than the thousands digit" which would be a 1. And that violates the condition, "No two digits are equal."
So the only possible combination is 2149
4 is 4 times 1
9 is 7 +2
A large cell phone company would like to know if their clients are happy with the service they provide . Which of the following methods would be the best for choosing a random sample that is a fair representation of their clients?
Answer:
2nd option. this provides an unbiased way to choose the clients surveyed.