PLEASE HELP IMMEDIATELY

A moving truck rental company charges $37.95 to rent a truck,
plus $0.62 per mile. Suppose the function C(d) gives the total
cost of renting the truck for one day if you drive d miles.

State the formula for Cd). Make sure to give the complete
formula as an equation.

_______

Use function notation to give the total rental cost if you drive
the truck 74 miles. Give the function notation in the first box,
the answer in the second box (rounded to one decimal place),
and choose the correct units from the third box.


______=______

Suppose you have 5110 budgeted to move. What is the furthest
distance you can drive the truck? Round your answer down to
the nearest whole number and choose the correct units.

___________​

Answer:

P(F | D) = 47.26%

There is a 47.26% probability that the foreman forgot to shut off the machine the previous night.

Step-by-step explanation:

A foreman for an injection-molding firm admits that on 23% of his shifts, he forgets to shut off the injection machine on his line.

Let F denote the event that foreman forgets to shut off the machine.

Failure to shut down at night causes the machine to overheat, increasing the probability that a defective molding will be produced during the early morning run from 5% to 15%.

Let D denote the event that the mold is defective.

If the foreman forgets to shut off the machine then 15% molds get defective.

P(F and D) = 0.23×0.15

P(F and D) = 0.0345

If the foreman doesn't forget to shut off the machine then 5% molds get defective.

P(F' and D) = (1 - 0.23)×0.05

P(F' and D) = 0.77×0.05

P(F' and D) = 0.0385

The probability that the mold is defective is

P(D) = P(F and D) + P(F' and D)

P(D) = 0.0345 + 0.0385

P(D) = 0.073

The probability that the foreman forgot to shut off the machine the previous night is given by

∵ P(B | A) = P(A and B)/P(A)

For the given case,

P(F | D) = P(F and D)/P(D)

Where

P(F and D) = 0.0345

P(D) = 0.073

So,

P(F | D) = 0.0345/0.073

P(F | D) = 0.4726

P(F | D) = 47.26%

Answer:

The volume formula for a cylinder is V = πr²h. We are solving for h and we know that V, π and r are 86, 3.14, 3 respectively so we can write:

86 = 3.14 * 3² * h

86 = 28.26 h

h = 3.04

Hey there! :)

Answer:

[tex]-25m^{6}n^{9}[/tex]

Step-by-step explanation:

The product rule means that when multiplying variables with exponents, the exponents must be added together. Therefore:

[tex](-5m^{5}n^{6})(5mn^{3}) =[/tex]

[tex]-25m^{5+1}n^{6+3} =[/tex]

Simplify:

[tex]-25m^{6}n^{9}[/tex]

This is your answer!

Answer:

261.71

Step-by-step explanation:

The calculation of days is shown below:-

[tex]X = \mu + Z\sigma[/tex]

where,

Mean = 270

standard deviation is 8

And, the normsinv is -1.036

Now placing these values to the above formula

So, the number of days is

= 270 + (-1.036433389)  × 8

= 270 + (-8.29146711)

= 261.708533

or

= 261.71

Therefore for computing the number of days we simply applied the above formula and for (-1.036433389) please find in the attachment.

Answer:

Step-by-step explanation:

thats the answer...

just:  Expand the polynomial using the FOIL method.

Answer:

(x-1)(x-1)=(x-1)² because it's the same thing multiplied by itself

Using FOIL method:

(x-1)(x-1)=

x²-x-x+1=

x²-2x+1

Answer:

B. I and II only.

Step-by-step explanation:

A person who is 61 inches tall is predicted to weight 104.6 pounds according to the regression model.

[tex]y(61)=-115+3.6(61)=-115+219.6=104.6[/tex]

The slope of the linear regression model indicates the rate of change of the predicted variable in function of a unit change in the independent variable. In this case, for each additional inch in height, the predicted weight will increase, on average by 3.6 pounds, as indicated by the slope of this model.

As the slope m=3.6 is positive, the correlation is positive: when the independent variable increases, the predicted variable also increases.

A] Both I and II are correct.

Weight = - 115 + 3.6 (Height)

Here, 115 is the autonomous weight at 0 level of height, it is the intercept.  3.6 is the slope, representing change in weight due to change in height. Slope implies that : For every additional inch of height, the predicted weight will increase, on average by 3.6 pounds.                                                                    So, II is True

At height = 61 inches, weight = - 115 + 3.6 (61) = - 115 + 219.6 = 104.6             So, I is  True

Regression shows cause effect relationship (of height on weight). Correlation shows just co-relationship in direction of variables' movement. Nevertheless, positive regression correlation increases the probability of positive correlation (instead of negative correlation)                                           So, III is false

https://brainly.com/question/7656407?referrer=searchResults

9.8 +12x+y-7

2.8+12x+4y

Answer:

$1733.67

Step-by-step explanation:

Simple interest rate formula: A = P(1 + r)^t

Simply plug in your known variables

A = 1700(1 + 0.04)^0.5

A = 1733.67

Remember that t is time in years.

Answer:

The number of employees classified into groups as shown below:

1 - 10: 3 6 (2companies)

11-20: 16 (1 company)

21-30: 25, 26, 27 (3 companies)

31-40: 34, 35, 35, 35, 36 (5 companies)

41-50: 41, 43, 48, 48 (4 companies)

Hope this helps!

Answer:

11-20 is 1

31-40 is 5

Step-by-step explanation:

Just count the amount

Hope that helps :D

Answer:

[tex]m ^ {3/7}[/tex]

Step-by-step explanation:

=> [tex]\sqrt[7]{m^3}[/tex]

[tex]\sqrt[7]{}= ^\frac{1}{7}[/tex]

=> [tex]m^{3*1/7}[/tex]

=> [tex]m ^ {3/7}[/tex]

Problem 1

y = tan(3x+4)

f(x) = tan(3x+4)

f ' (x) = 3sec^2(3x+4) .... apply derivative chain rule

dy/dx = f ' (x)

dy = f ' (x) * dx

dy = ( 3sec^2(3x+4) ) * dx

Now plug in x = 5 and dx = 0.3

dy = ( 3sec^2(3*5+4) ) * 0.3

dy = 0.920681 which is approximate

Make sure your calculator is in radian mode.  Calculus textbooks will be in radian mode for the special sine limit definition [tex]\lim_{x\to0}\frac{\sin x}{x} = 1[/tex] to be true.

===========================================================

Problem 2

We'll have the same derivative function and same x value. The only difference is that dx = 0.6 this time.

dy = f ' (x) * dx

dy = ( 3sec^2(3*5+4) ) * 0.6

dy = 1.84136 approximately

Answer:

No The reactions are not inverses to each other

Step-by-step explanation:

f(x) = 3x + 27

Let f(x) be y

y= 3x+27

subtracting 27 on both sides

3x = y - 27

x= (y-27)/3

= y/3 - 9

inverse function is x/3 -9 not x/3 + 9

Therefore, not an inverse

Hope it helps...

Answer:

Minimum = 25

First quartile = 58

Second quartile = 72

Third quartile = 80

Maximum = 98

Step-by-step explanation:

Answer:

5 / 6

Step-by-step explanation:

The green numbers: 1, 2, 5

The even numbers: 2, 4, 6

Since 2 is an overlap, we'll only count it once.

Total outcomes: 6

Successful outcomes: 5

Probability: 5 / 6

Answer: k = 5

Step-by-step explanation:

Box A has more counters than box B

3 * 4 = 12

4 + 8 = 12

So if k was equal to 4, then both boxes would have the same amount.

3 * 5 = 15

5 + 8 = 13

15 > 13

If k was equal to 5, then Box A would contain more counters than Box B.

Answer:

15.74% of the player's serves were between 115 mph and 145 mph

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 100, \sigma = 15[/tex]

What percentage of the player's serves were between 115 mph and 145 mph

This is the pvalue of Z when X = 145 subtracted by the pvalue of Z when X = 115.

X = 145

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

[tex]Z = \frac{145 - 100}{15}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a pvalue of 0.9987

X = 115

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

[tex]Z = \frac{115 - 100}{15}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.9987 - 0.8413 = 0.1574

15.74% of the player's serves were between 115 mph and 145 mph

Answer:

a) 13% of people did not experience problems with an online transaction.

b) 36.54% of people experienced problems with an online transaction and abandoned the transaction or switched to a competitor′s website

c) 46.11% of people experienced problems with an online transaction and contacted customer-service representatives.

Step-by-step explanation:

a. What percentage of people did not experience problems with an online transaction?

87% of people have experienced problems with an online transaction. So 100 - 87 = 13% of people did not experience problems with an online transaction.

b. What percentage of people experienced problems with an online transaction and abandoned the transaction or switched to a competitor′s website?

87% of people have experienced problems with an online transaction. Forty-two percent of people who experienced a problem abandoned the transaction or switched to a competitor′s website.

Then:

0.87*0.42 = 0.3654

36.54% of people experienced problems with an online transaction and abandoned the transaction or switched to a competitor′s website.

c. What percentage of people experienced problems with an online transaction and contacted customer-service representatives?

87% of people have experienced problems with an online transaction. Fifty-three percent of people who experienced problems contacted customer-service representatives.

Then:

0.87*0.53 = 0.4611

46.11% of people experienced problems with an online transaction and contacted customer-service representatives.

Answer:

[tex]distance=\sqrt{32}[/tex]  , which agrees with answer "c" in your list of possible options

Step-by-step explanation:

Use the formula for distance between two points [tex](x_1,y_1)[/tex], and [tex](x_2,y_2)[/tex] on the plane:

[tex]distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance= \sqrt{(4-8)^2+(-7-(-3))^2} \\distance= \sqrt{(-4)^2+(-4)^2} \\distance=\sqrt{16+16}\\distance=\sqrt{32}[/tex]

Answer:

  see attached

Step-by-step explanation:

The attachments show the initial (brown) and final (blue) positions of the phone. The spreadsheet shows all the intermediate locations and the formulas used to determine them.

The two reflections cancel the total of 180° of CW rotation, so the net result is simply a translation. That translation is up by 9 units.

__

Translation up adds to the y-coefficient; translation right adds to the x-coefficient. Down or left use negative values.

90° CW does this: (x, y) ⇒ (y, -x)

Reflection across y does this: (x, y) ⇒ (-x, y)

Reflection across x does this: (x, y) ⇒ (x, -y)

Answer:

Unit rate = 81  riders/ car.

Step-by-step explanation:

Given

729 riders in 9 cars

we have to find unit rate in terms of riders per car

let the the riders per car (i.e rate) be x.

If there are 9 cars then

total no. of riders in 9 cars = no. of cars *  riders per car = 9*x = 9x

given that 729 riders in 9 cars

then

9x = 729

=> x = 729/9 = 81

Thus, riders per car =  x = 81.

Unit rate is 81 riders per car.

Answer:

V= 1/3 h π r²

hope it helps

Answer:

b) -1/9

Step-by-step explanation:

Given

              [tex]a_{n} = \frac{(-1)^{n} }{2n-1}[/tex]

First term

              [tex]a_{1} = \frac{(-1)^{1} }{2(1)-1} = -1[/tex]

second term

            [tex]a_{2} = \frac{(-1)^{2} }{2(2)-1} = \frac{1}{3}[/tex]

Third term

           [tex]a_{3} = \frac{(-1)^{3} }{2(3)-1} = \frac{-1}{5}[/tex]

Fourth term

          [tex]a_{4} = \frac{(-1)^{4} }{2(4)-1} = \frac{1}{7}[/tex]

Fifth term

         [tex]a_{5} = \frac{(-1)^{5} }{2(5)-1} = \frac{-1}{9}[/tex]

Answer:

B

Step-by-step explanation:

right on edge 2021

Answer:

The probability that the sampling distribution of sample porportions is less than 77% is P(p<0.77)=0.1106.

Step-by-step explanation:

We know that the population proportion is π=0.81.

We want to know the probability that the sampling distribution of sample proportions, with sample size n=144, is less than 0.77.

The sampling distributions of sampling proportions has a mean and standard deviation calculated as:

[tex]\mu_p=\pi=0.81\\\\\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.81\cdot 0.19}{144}}=\sqrt{0.001068}=0.0327[/tex]

Then, we calculated the z-score for p=0.77:

[tex]z=\dfrac{p-\pi}{\sigma_p}=\dfrac{0.77-0.81}{0.0327}=\dfrac{-0.04}{0.0327}=-1.2232[/tex]

The probability that the sample proportion is less than 0.77 is:

[tex]P(p<0.77)=P(z<-1.2232)=0.1106[/tex]

Answer:

Just connect points Y and D with a straight line to make YD. Do the same for YE and YF, just attach Y to points E and F with a straight line.

Step-by-step explanation:

In my opinion maybe he has spent 98%

Answer:

y = 1/2x + 1

Step-by-step explanation:

Step 1: Find slope

(1-0)/(0+2) = 1/2

Step 2: Write equation

y = 1/2x + 1

Answer:

The answer is Y = 6.3973.

Note: Kindly find an attached document of the complete question to this solution

Sources: The complete question was researched from Quizlet site.

Step-by-step explanation:

Solution

Given that:

The regression  equation is given below:

Y = - 0.3302 + 0.0672 x₁ + 0.6735 x₂ + 0.9980 x₃

Now,

When x₂ = 5, x₁ = 50, x₃ = 0

Y = - 0.3302 + 0.0672 * 50 +0.6735 * 5

Y=  - 0.3302 + 3.36 + 3.3675

Y = 6.3973

Therefore the time (hour) it will take for the driver to make five deliveries on a 50 mile journey not during rush hour is 6.3973.

Answer:

64.0% is the correct answer.

Step-by-step explanation:

As per the given scatter plot of voter turnout every year:

X axis represents the year and

Y axis represents the percentage of people who voted.

The model was predicted as per the equation:

[tex]y = -0.1271x + 307.53[/tex]

To find: Prediction for the year 1900.

Putting the value of [tex]x=1900[/tex], the value of y will be the predicted value of the model i.e. the value of percentage of voter turnout.

[tex]\Rightarrow y = -0.1271\times (1900) + 307.53\\\Rightarrow y = -241.49 + 307.53\\\Rightarrow y = -64.04\%\\OR\\y \approx 64.0\%[/tex]

So, the model predicts [tex]y \approx 64.0\%[/tex] for the year 1900.

Answer:

  x = -1

Step-by-step explanation:

The usual approach to these is to square the radicals until they are gone.

  [tex]\displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}[/tex]

Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.

The solution is x = -1.

_____

Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.

Answer:

0.0164 probability that exactly 11 black balls are drawn

Step-by-step explanation:

The balls are drawn without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Total of 88 + 88 = 176 balls, so [tex]N = 176[/tex]

33 balls are drawn, so [tex]n = 33[/tex]

We want 11 black balls(sucesses), so [tex]n = 11[/tex]

There are 88 black balls, so [tex]k = 88[/tex]

Then

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 11) = h(11,176,88,33) = \frac{C_{88,11}*C_{88,22}}{C_{176,33}} = 0.0164[/tex]

0.0164 probability that exactly 11 black balls are drawn