Which set of ordered pairs represents a function? {(0,1), (1,3), (1,5) (2,8)}, {(0,0), (1,2), (2,6), (2,8)}, {(0,0), (0,2), (2,0), (2,4)}, {(0,2), (1,4), (2,6), (3,6)}

Answer:

Below

Step-by-step explanation:

The average speed is given by the following formula:

● V = d/t

● d is the distance covered

● t is the time spent to cover the distance d

■■■■■■■■■■■■■■■■■■■■■■■

Ava takes 8 minutes to go from mile marker 0 to mile marker6.

● the distance Ava traveled is 6 miles

● the time Ava spent to reach mile marker 6 is 8 minutes

So the average speed of Ava is:

● V = 6/ 8 = 3/4 = 0.75 mile per min

●●●●●●●●●●●●●●●●●●●●●●●●

Let's The equation of the line that links the number of milemarkers (n) and the time (t).

Ava went from mile marker 0 to mile marker 6.

At t=0 Ava just started travelling from mile marker 0 to 1.

Afrer 8 minutes,she was at mile marker 6.

So 8 min => 6 mile markers (igonring mile marker 0 since the distance there was 0 mile)

6/8= 0.75

Then n/t = 0.75

● n = 0.75 * t

Let's check

● n= 0.75*4 = 3

That's true since after 4 minutes Ava was at mile marker 3.

Answer:

A. $22,223

B. $20,000

C. $20,000

Explanation:

The annual return of the retired couple's investment is called the yield in percentage.

A. If they go for Treasury bills which has a yield of 9%, to attain a return of at least $2,000 their investment must exceed $20,000. 9% of 22,223 = $2,000.07

B. . If they go for Corporate bonds option which has a yield of 11%, to attain a return of at least $2,000; 11% of 20,000 = $2,200

C. . If they go for Junk bonds option which has a yield of 13%, to attain annual return of at least $2,000; 13% of $20,000= $2,600

Answer:

the percentage of people who have an IQ between 115 and 140 is 16.79%

Step-by-step explanation:

From the information given:

We are to  determine the percentage of people who have an IQ between 115 and 140.

i.e

P(115 < X < 140) = P( X  ≤ 140) - P( X  ≤ 115)

[tex]P(115 < X < 140) = P( \dfrac{X-100}{\sigma}\leq \dfrac{140-100}{16})-P( \dfrac{X-100}{\sigma}\leq \dfrac{115-100}{16})[/tex]

[tex]P(115 < X < 140) = P( Z\leq \dfrac{140-100}{16})-P( Z\leq \dfrac{115-100}{16})[/tex]

[tex]P(115 < X < 140) = P( Z\leq \dfrac{40}{16})-P( Z\leq \dfrac{15}{16})[/tex]

[tex]P(115 < X < 140) = P( Z\leq 2.5)-P( Z\leq 0.9375)[/tex]

[tex]P(115 < X < 140) = P( Z\leq 2.5)-P( Z\leq 0.938)[/tex]

From Z tables :

[tex]P(115 < X < 140) = 0.9938-0.8259[/tex]

[tex]P(115 < X < 140) = 0.1679[/tex]

Thus; we can conclude that the percentage of people who have an IQ between 115 and 140 is 16.79%

Using the normal distribution, it is found that 82.02% of people who have an IQ between 115 and 140.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The proportion of people who have an IQ between 115 and 140 is the p-value of Z when X = 140 subtracted by the p-value of Z when X = 115, hence:

X = 140:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{140 - 100}{16}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a p-value of 0.9938.

X = 115:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{115 - 100}{16}[/tex]

[tex]Z = -0.94[/tex]

[tex]Z = -0.94[/tex] has a p-value of 0.1736.

0.9938 - 0.1736 = 0.8202.

0.8202 = 82.02% of people who have an IQ between 115 and 140.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

Option A is the correct option.

Step-by-step explanation:

[tex] \frac{3}{x } = \frac{6}{x - 4} [/tex]

Apply cross product property:

[tex]3(x - 4) = 6 \times x[/tex]

[tex]3(x - 4) = 6x[/tex]

Hope this helps...

Best regards!!

Answer:

3 * (x - 4) = 6 * x.

Step-by-step explanation:

3 / x = 6 / (x - 4)

3 * (x - 4) = 6 * x

3x - 12 = 6x

6x = 3x - 12

6x - 3x = -12

3x = -12

x = -4.

Hope this helps!

Answer:

√41

Step-by-step explanation:

Considering the sides with lengths 48 and 52 units, we would use Pythagoras theorem to find the third side. Let that side be t

52² = 48² + t²

t² = 52² - 48²

= 2704 - 2304

= 400

t = √400

= 20

Considering the next triangle with sides t (20 units) and 12 units, again using the theorem

20² = 12² + y²

where y is the third side

400 = 144 + y²

y² = 400 - 144

= 256

y = √256

= 16 units

Considering the triangle with two sides given as 5 and 13 units, the third side (which is part of the 16 units calculated earlier)

13² = 5² + u²

where u is the 3rd side

169 = 25 + u²

u² = 169 - 25

u² = 144

u = √144

u = 12

The other part of the side of that triangle

= 16 - 12

= 4

Considering the smallest triangle whose sides are x, 5 and 4,

x² = 5² + 4²

= 25 + 16

= 41

x = √41

Answer:

John is 9, Brian is 6.

Step-by-step explanation:

I)

Let [tex]J[/tex] represent John's age and [tex]B[/tex] represent Brian's age.

John is three years older than Brian. In other words:

[tex]J=B+3[/tex]

The product of their ages is 54. Or:

[tex]JB=54[/tex]

II)

Write this as a quadratic by substituting:

[tex]JB=54\\(B+3)B=54\\B^2+3B-54=0[/tex]

III)

Solve the quadratic:

[tex]B^2+3B-54=0\\B^2-6B+9B-54=0\\B(B-6)+9(B-6)=0\\(B+9)(B-6)=0\\B=-9, 6[/tex]

Since age cannot be negative, Brian must be 6 years old right now.

John is three year older, so John is 9.

Answer:

Answer:

The bass fish was the better catch

Step-by-step explanation:

From the question we are told that

     The  population mean for trout is  [tex]\mu_1 = 12 \ in[/tex]

     The  standard deviation is  [tex]\sigma_1 = 2.75 \ in[/tex]

      The  population mean for  base  is  [tex]\mu _2 = 4 \ lb[/tex]

      The standard deviation is  [tex]\sigma_2 = 0.8 \ lb[/tex]

      The number of  trout caught   [tex]x_1 = 18[/tex]

     The number of  bass caught  [tex]x_2 = 6[/tex]

Generally z-value(standardized value ) for the of number  trout caught  is mathematically represented as

        [tex]z_1 = \frac{x_1 - \mu_1}{\sigma_1 }[/tex]

substituting value

       [tex]z_1 = \frac{18 - 12}{2.75 }[/tex]

       [tex]z_1 = 2.18[/tex]

Generally z-value(standardized value ) for the of number  bass caught  is mathematically represented as

        [tex]z_2 = \frac{x_2 - \mu_2}{\sigma_2 }[/tex]

substituting value

       [tex]z_2 = \frac{6 - 4}{0.8 }[/tex]

       [tex]z_2 = 2.5[/tex]

From our calculation we see that  [tex]z_2 > z_1[/tex]

The  fish that was the better catch is the bass fish

Answer:

y+2 = 4(x-6)

Step-by-step explanation:

The point slope equation of a line is

y-y1 = m(x-x1)  where m is the slope and ( x1,y1) is a point on the line

y - -2 = 4( x-6)

y+2 = 4(x-6)

Answer:

I believe 45.50

Step-by-step explanation: The locksmith is 18.3 miles W from furniture, the hotel is 27.2 E from furniture store  so 18.3+27.2=45.50

Answer:

  145.39

Step-by-step explanation:

The ratio of supply to demand will be 1 at the equilibrium price:

  S(p)/D(p) = 1 = 140e^(0.005p)/(448e^(-0.003p))

  448/140 = e^(0.005p -(-0.003p)) = e^(0.008p)

  ln(448/140) = 0.008p . . . . . . . . . taking the natural log

  p = ln(448/140)/0.008 ≈ 145.39

The equilibrium price is about $145.39.

Answer:

The simplified expression is [tex]\frac{10}{3 a^2 b}[/tex]

Step-by-step explanation:

The given expression is:

[tex]\frac{15b}{4} * \frac{8}{9a^2 b^2}[/tex]

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

[tex]= \frac{120b}{36 a^2 b^2} \\\\[/tex]

Divide both the numerator and the denominator by 12b:

[tex]= \frac{120b /12b}{36 a^2 b^2/12b}[/tex]

The expression finally becomes:

[tex]= \frac{10}{3 a^2 b}[/tex]

Answer:

Step-by-step explanation:

here u go

Answer:

[tex]\large\boxed{\sf \ \ \ 404,699 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

At the beginning the population is 240,000

After 1 year the population will be

   240,000*(1+7.75%)=240,000*1.0775

After n years the population will be

   [tex]240,000\cdot1.0775^n[/tex]

So after 7 years the population will be

   [tex]240,000\cdot1.0775^7=404699.058...[/tex]

So rounded to the nearest whole number gives 404,699

Hope this helps

Answer:

7.24 hrs

Step-by-step explanation:

Janet can do the order in 14 hours.

In 1 hour, she can do 1/14 of the order.

Jim can do the order in 15 hours.

In 1 hour, he can do 1/15 of the order.

Let the total amount of time they take to do the job working together be x hours.

[tex]\frac{1}{14} x+\frac{1}{15}x =1[/tex]

[tex]\frac{29}{210} x=1[/tex]

[tex]\frac{210}{29}* \frac{29}{210} x=1*\frac{210}{29}[/tex]

[tex]x= 7.241379...[/tex]

Answer:

p-value = 0.1213  (to 4-decimal places)

Step-by-step explanation:

Given:

N = 240

mean  = 7.5

s = 1.0

Solution

With N=240 and using the central limit theorem, distribution can be approximated as normal.

Let

Null hypothesis H0, mu = 7.6

Alternate hypothesis, mu not equal to 7.6  (two-tail test)

for

Alpha = 0.1 (two sided)

Z = sqrt(N)(mean – mu)/s = sqrt(240)(7.5-7.6)/1.0 = -1.54919

p-value  

= P(|Z|>1.54919)  

= 2P(Z>1.54919)

= 2(1-P(Z<1.54919)

=2(1-0.9393)     (using normal distribution table)

=0.12134

Since alpha = 0.1 < p-value (0.1213), H0 that mean = 7.6 is not rejected.

Answer:

a = 9h + bn

Step-by-step explanation:

total = $9 an hour + (bonus x number of items repaired)

Greetings from Brasil...

In a linear function, the rate of change is given by M (see below).

M = rate of change

N = linear coefficient

The Function 2 has M = 4, cause

F(X) = 4X + 1

(M = 4 and N = 1)

For Function 1 we have a rate of change equal to zero, becaus it is a constant function... let's see:

M = ΔY/ΔX

M = (3 - 3)/(4 - 0)

M = 0/4 = 0

So, the Function 2 has 4 times more rate of change than the first

Your answer is two!!

Answer:

C. If 75% of Americans still favor mandatory testing this year, then there is a 3% chance that poll results will show 72% or fewer with this opinion.

Step-by-step explanation:

Significance level or alpha level is the probability of rejecting the null hypothesis when null hypothesis is true. It is considered as a probability of making a wrong decision. It is a statistical test which determines probability of type I error. If the obtained probability is equal of less than critical probability value then reject the null hypothesis. In this question the sample of 1000 Americans is under test. It is the result of the poll that 75% still favor mandatory testing.

Answer:

The spread of the data in Set B is greater than the spread of the data in Set A.

Step-by-step explanation:

Just took the test :3

Answer:

see attachment

Step-by-step explanation:

We differentiate implicitly with respect to x taking y as a constant and we differentiate implicitly with respect to y taking x as a constant.

[tex]\rm \dfrac{\partial z}{\partial x} = - \dfrac{(x^5 + 3yz)}{z^5 + x} \ \ and \ \ \dfrac{\partial z}{\partial y} &= - \dfrac{(y^5 + 3xz)}{z^5 + y}[/tex]

When in a function the dependent variable is not explicitly isolated on either side of the equation then the function becomes an implicit function.

The equation is given as [tex]\rm x^6 + y^6 + z^6 + 18xyz = 1.[/tex]

Differentiate partially the function with respect to x treating y as a constant.

[tex]\begin{aligned} \dfrac{\partial}{\partial x} x^6 + y^6 + z^6 + 18xyz &= 0\\\\6x^5 + 0 + 6z^5 \dfrac{\partial z }{\partial x} + 18y(z + x\dfrac{\partial z}{\partial x}) &= 0\\\\x^5 + z^5 \dfrac{\partial z }{\partial x} + 3y(z + x\dfrac{\partial z}{\partial x}) &= 0\\\\\dfrac{\partial z}{\partial x} &= - \dfrac{(x^5 + 3yz)}{z^5 + x} \end{aligned}[/tex]

Similarly, differentiate partially the function with respect to y treating x as a constant.

[tex]\begin{aligned} \dfrac{\partial}{\partial y} x^6 + y^6 + z^6 + 18xyz &= 0\\\\ 0 + 6y^5+ 6z^5 \dfrac{\partial z }{\partial y} + 18x(z + y\dfrac{\partial z}{\partial y}) &= 0\\\\y^5 + z^5 \dfrac{\partial z }{\partial y} + 3x(z + y\dfrac{\partial z}{\partial y}) &= 0\\\\\dfrac{\partial z}{\partial y} &= - \dfrac{(y^5 + 3xz)}{z^5 + y} \end{aligned}[/tex]

More about the implicit function link is given below.

https://brainly.com/question/6472622

This question is incomplete

Complete Question

The function s(V) = ∛V describes the side length, in units, of a cube with a volume of V cubic units.

Jason wants to build a cube with a minimum of 64 cubic centimeters.

What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?

a) s > 0

b) s ≥ 4

c) s ≥ 8

d) s ≥ 16

Answer:

b) s ≥ 4

Step-by-step explanation:

From the above question, we are given Volume of the cube = 64cm³

We are given the function

s(V) = ∛V

Hence,

The range for the side length s =

s(V) ≥ ∛V

s(V) ≥ ∛64 cm³

s(v) ≥ 4 cm

Therefore, the reasonable range for s, the side length, in centimeters, of Jason’s cube

Option b) s ≥ 4

Answer:

s≥ 4

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

To solve this problem, we should check the x coordinate of the point where both graphs intersect. Based on both graphs, they intersect at the point (3,-1). So, the input value for which both graphs have the same value is x=3.

Answer:

its x=-2

Step-by-step explanation:

cause i got it wrong and it said the answer was x=-2

Answer:

(4, 4)

Step-by-step explanation:

All you really need to do is multiply C's original coordinates with the scale factor. So (2, 2), becomes (4, 4).

Answer:

( 4 , 4 )

Step-by-step explanation:

original C coordinates : ( 2 , 2 )

since the problem is telling us to dilate by the factor of 2 we multiply both 2's by 2.

( 2 ‧ 2 ) ( 2 ‧ 2 )

= ( 4 , 4 )

Answer:

96 square units

Step-by-step explanation:

The surface area of the prism can be calculated using its net.

The net consists of 3 rectangles and 2 triangles.

The surface area = area of the 3 rectangles + area of the 2 triangles

Area of 3 rectangles:

Area of 2 rectangles having the same dimension = 2(L*B) = 2(7*3) = 2(21) = 42 squared units

Area of the middle triangle = L*B = 7*6 = 42 square units.

Area of the 3 triangles = 42 + 42 = 84 square units.

Area of the 2 triangles:

Area = 2(½*b*h) = 2(½*6*2) = 6*2

Area of the 2 triangles = 12 square units

Surface area of the triangular prism = 84 + 12 = 96 square units.

Answer:

It's 96 unit2

Step-by-step explanation:

I just do it in khan and it's correct

Answer:  A, B, and D

Step-by-step explanation:

Input the coordinates into the inequality to see which makes a true statement:

                             5x - 2y < 8

A) x = -1, y = 1       5(-1) - 2(1) < 8

                              -5  -  2   < 8

                                    -7     < 8       TRUE!

B) x = -3, y = 4       5(-3) - 2(4) < 8

                              -15  -  8   < 8

                                    -23    < 8     TRUE!

C) x = 4, y = 0       5(4) - 2(0) < 8

                              20  -  0   < 8

                                    20     < 8    False

D) x = -2, y = 3       5(-2) - 2(3) < 8

                              -10  -  6   < 8

                                    -16     < 8   TRUE!

Answer: 0.271

Step-by-step explanation:

Probability of complement of an even is 1 decreased by the probability of the event

P(At least one) =1 - P(none)

The probability that of testing negative is 0.9 because the probability of testing positive is 0.1

P( at least one) = 1 - P(none) = 1 - (0.93^3) = 0.271

Answer:  $122.50

Step-by-step explanation:

In          Out

8:00    12:00    = 4 hours

12:45    17:30   = 4.75 hours  

          Total        8.75 hours

8.75 hours x $14/hr = $122.50

Note: to subtract 12:45 from 17:30, borrow 1 hour from 17 and add 60 minutes to 30:

 17:30       →         16:90

- 12:45                - 12:45

                            4: 45

4 hours 45 minutes = [tex]4\frac{3}{4}[/tex] = 4.75 hours

Answer:

3+x

Step-by-step explanation:

sum= addition

a number= a number

Answer:

3+x  

eplanation                                  

Answer:

D. -0.98

Step-by-step explanation:

Well it is a negative correlation and it is really strong but it is impossible to go pasit -1.

Thus,

the answer is D. -0.98

Hope this helps :)

Answer:

D. -0.98

Step-by-step explanation:

The correlation is a negative if the Y value decreases as the x value increases. It is not -1.43 because it is not decraeseing that fast.

Answer:

[tex] -3n - 7 [/tex]

Step-by-step explanation:

Considering the linear function represented in the table above, to find what output an input "n" would give, we need to first find an equation that defines the linear function.

Using the slope-intercept formula, y = mx + b, let's find the equation.

Where,

m = the increase in output ÷ increase in input = [tex] \frac{-13 - (-10)}{2 - 1} [/tex]

[tex] m = \frac{-13 + 10}{1} [/tex]

[tex] m = \frac{-3}{1} [/tex]

[tex] m = -3 [/tex]

Using any if the given pairs, i.e., (1, -10), plug in the values as x and y in the equation formula to solve for b, which is the y-intercept

[tex] y = mx + b [/tex]

[tex] -10 = -3(1) + b [/tex]

[tex] -10 = -3 + b [/tex]

Add 3 to both sides:

[tex] -10 + 3 = -3 + b + 3 [/tex]

[tex] -7 = b [/tex]

[tex] b = -7 [/tex]

The equation of the given linear function can be written as:

[tex] y = -3x - 7 [/tex]

Or

[tex] f(x) = -3x - 7 [/tex]

Therefore, if the input is n, the output would be:

[tex] f(n) = -3n - 7 [/tex]