A plumbing company charges $35 per hour plus a $25 travel charge for a service call. Another plumbing company charges $40 per hour for a service call with no travel charge. Solve the equation 35h+25=40h to find how many hours h a service call must be for the two companies to charge the same amount.



__ hour(s)

Answer: Dome Fuji, in Antarctica, is the coldest place in the world with a record low of –92 degrees.

Step-by-step explanation:

The valid conclusions for the manager based on the considered test is given by: Option

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

Forming hypotheses:

where \(\mu_0\) is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

\(z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094\)

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

https://brainly.com/question/21477856

Answer:

A

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

8, 10, 12, 14, 38, 42

12+14/2 = 13

The set of = {

all x = x

| = such that

25)

less than 10 and greater than 2

10>x>2

{x| 10>x>2 }

26) greater than 7 and less than 7

7{x| 7

The "small " end of the sign < always points to the smaller number.

Answer:

20 ° i think

Step-by-step explanation:

Answer:

20

because they are identical triangles therefore they have the same interior angles.

This introduces nonresponse bias, as the survey results may not accurately represent the opinions and characteristics of the entire population being surveyed.

Nonresponse bias occurs when individuals who choose not to participate in a survey differ in important ways from those who do participate, leading to potential distortions in the survey results. In this case, the suspicion of the volunteers expressed by some people influences their decision not to participate, resulting in a nonresponse bias.

To determine the extent of nonresponse bias, researchers typically compare the characteristics of the respondents and non-respondents. If the non-respondents significantly differ from the respondents in terms of demographic factors, attitudes, or other relevant variables, it suggests the presence of nonresponse bias.

In this particular scenario, the suspicion expressed by certain individuals towards the volunteers leads them to opt out of participating in the survey. This introduces nonresponse bias, as the survey results may not accurately represent the opinions and characteristics of the entire population being surveyed. To mitigate nonresponse bias, researchers can employ techniques such as follow-up surveys or weighting adjustments to ensure a more representative sample and minimize the potential impact of nonresponse on the survey findings.

To know more about Bias, visit

https://brainly.com/question/30461915

#SPJ11

Answer:

s = 8t

Step-by-step explanation:

every table delivers 8 seats, so s, the number of seats, will be 8 times the number of tables.

The probability that a person who is above 35 years old has a hemoglobin level of 9 or above is 0.531.

Option C is the correct answer.

We have,

The number of persons who is above 35 years.

= 162

And,

The number of persons who is 35 years and above and has a hemoglobin level of 9 or above.

= 46 + 40

= 86

Now,

The probability that a person who is above 35 years old has a hemoglobin level of 9 or above.

= 86/162

= 0.531

Thus,

The probability that a person who is above 35 years old has a hemoglobin level of 9 or above is 0.531.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ4

Answer:

6.29 ×0.000001

6.29 × 10^ -6

Melanie's monthly private mortgage insurance (PMI) payment is approximately $2,142.97 based on the premium rate and the loan amount.

To calculate Melanie's monthly PMI payment, we need to determine the loan amount and multiply it by the PMI premium rate.

Given that Melanie can only afford a 5% down payment on a $253,400 home, her loan amount would be 95% of the home's purchase price, which is $253,400 x 0.95 = $240,730.

Next, we need to calculate the PMI payment by multiplying the loan amount by the PMI premium rate of 0.89%. This can be done by multiplying $240,730 by 0.0089 (0.89% expressed as a decimal), which gives us $2,142.97.

Therefore, Melanie's monthly PMI payment is approximately $2,142.97. This is the additional amount she would need to pay on top of her mortgage payment to cover the cost of the private mortgage insurance.

Learn more about PMI here:

https://brainly.com/question/29048625

#SPJ11

a. To calculate velocity, we need to take the derivative of the position function, r(t). So, the formula for velocity is v(t) = r'(t) = [sqrt(2)(e^t - e^-t) + sqrt(2)t(e^t + e^-t)]a.

b. To calculate acceleration, we need to take the second derivative of the position function, r(t). So, the formula for acceleration is a(t) = r''(t) = [sqrt(2)(e^t + e^-t) + sqrt(2)t(e^t - e^-t) + 2sqrt(2)t(e^t + e^-t)]a.

c. To calculate distance, we need to integrate the velocity function, v(t), over a certain time interval. So, the formula for distance is d(t1, t2) = ∫[t1, t2] v(t) dt = ∫[t1, t2] [sqrt(2)(e^t - e^-t) + sqrt(2)t(e^t + e^-t)]a dt.

d. To calculate position, we need to integrate the acceleration function, a(t), twice over a certain time interval. So, the formula for position is r(t1, t2) = ∫[t1, t2] ∫[t1, t] a(s) ds dt + r(t1), where r(t1) is the initial position at time t1.


a. Velocity (v) can be calculated using the derivative of the position function r(t). In this case, v(t) = dr(t)/dt.

b. Acceleration (a) can be calculated using the derivative of the velocity function v(t). So, a(t) = dv(t)/dt.

c. Distance (d) can be calculated by finding the definite integral of the velocity function v(t) with respect to time over a specific interval. In other words, d = ∫|v(t)|dt, where the integration limits correspond to the interval of time you're interested in.

d. Position (r) is given by the function r(t) = sqrt(2)t * e^t * e^(-t), which represents the position of the object at any given time t.

To know more about Velocity click here.

brainly.com/question/17127206

#SPJ11

Answer: the answer is D

Step-by-step explanation:

Option c. is the correct answer.

When the variance should be investigated.

A variance is the difference between a result's actual value and what was anticipated or budgeted. Variances can be either positive or negative. When the actual is higher than the projected or budgeted amount, a favorable variance occurs. The variance is unfavorable when actuals fall short of the amounts allocated in the budget. A variance therefore shows whether or not the actual performance is proceeding as expected.

While,

Option a. is inaccurate. As, the cause of the variance can vary, depending on factors like changes in delivery costs, market costs, production techniques, the use of subpar materials, seasonal factors, or even a simple mistake. Therefore, additional research and subsequent actions are needed to identify the cause of the variance. The cause of a variance cannot be identified by the variance itself.

Option b. is inaccurate. A variance only shows the discrepancy between the anticipated and actual amounts. It makes no mention of who is to blame for the deviation.

Option d. is inaccurate. After variances are identified, one of the most important steps is to investigate them. When actual performances significantly deviate from anticipated outcomes, variations are typically investigated.

Find more on Variance at : https://brainly.com/question/13287252

#SPJ4

Answer:

1/9

Step-by-step explanation:

slope = rise/run

slope = (-3--4)/(7--2)=1/9

Answer:

It's J

Step-by-step explanation:

when has only ONE zero it'll intercept the x axis one time

\( \sqrt{48} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times 3} \\ = 2 \times 2 \sqrt{3} \\ = 4 \sqrt{3} \)

a) The time it takes for the ball to hit the ground is given as follows: 2.5 seconds.

b) The time it takes for the maximum height is of: 1 second.

c) The maximum height is of: 36 feet.

d) The equation would be of: h(t) = 30 + 32t - 16t².

The quadratic function for the ball's height is given as follows:

h(t) = 20 + 32t - 16t².

In which:

The coefficients are given as follows:

a = -16, b = 32, c = 20.

Then the discriminant is of:

D = b² - 4ac

D = 32² - 4 x (-16) x 20

D = 2304.

The positive root gives the time it takes for the ball to hit the ground, as follows:

t = (32 + sqrt(2304))/32

t = 2.5 seconds.

The time to reach the maximum height is the t-coordinate of the vertex, hence:

t = -b/2a

t = -32/-32

t = 1 second.

The maximum height is of:

h(1) = 20 + 32 - 16

h(1) = 36 feet.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

Answer:

add

Step-by-step explanation:

Step-by-step explanation:

I am assuming we are deciding which value is greater:

1. 3/3 < 8/7

2. 4/6 < 3/3

3. 6/9 = 2/3

4. 9/9 < 3/2

5. 2/2 < 5/4

6. 1/2 = 2/4

7. 1/8 < 3/5

Answer:

9/2

Step-by-step explanation: I think it is the answer? I really don't know.

Answer: 1/6

Step-by-step explanation:

2/6 - 1/6 = 1/6

Answer:

9b-12<9b+8

Step-by-step explanation:

b<20

If there is at least one solution to a system of linear equations, it is consistent; otherwise, it is inconsistent. If none of the equations in a system of linear equations can be algebraically deduced from the others, the system is said to be independent.

A straight line on a two-dimensional plane is described by a linear equation. It takes the shape of

y = mx + b

where b is the y-intercept (the point where the line crosses the y-axis), and m is the line's slope.

For instance, the line described by the equation y = 2x + 1 has a slope of 2 and a y-intercept of 1.

Consider the system of linear equations below, for instance:

x + y = 3

2x - y = 4

This system is independent since neither equation can be deduced algebraically from the other and consistent because it has a solution (x = 2, y = 1).

To know more about linear equation visit:

brainly.com/question/29739212

#SPJ1

The vertices of parallelogram MNOP after a rotation of 180° are: M' (-1, -7), N' (-8, -5), O' (-4, -2), and P' (3, -4).

A counterclockwise rotation of 270° to triangle GHI would produce an image with this vertices: G' (-2, 0), H' (-6, -7), and I' (-8, -3).

In this exercise, you are required to rotate parallelogram MNOP by 180° and triangle GHI by 270° in a counterclockwise direction. In Geometry, the rotation of parallelogram MNOP 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the vertices (-x, -y):

(x, y)                           →               (-x, -y)

Point M' = (1, 7)        →    Point M' = (-(1), -(7)) = (-1, -7).

Point N' = (8, 5)       →    Point N' = (-(8), -(5)) = (-8, -5).

Point O' = (4, 2)       →    Point O' = (-(4), -(2)) = (-4, -2).

Point P' = (-3, 4)       →   Point P' = (-(-3), -(4)) = (3, -4).

In Geometry, the rotation of triangle GHI by 270° about the origin in a counterclockwise direction would produce a point that has the vertices (y, -x):

(x, y)                           →               (y, -x)

Points at G = (0, -2)   →  Points at G' = (-2, 0)

Points at H = (7, -6)   →  Points at H' = (-6, -(7)) = (-6, -7).

Points at I = (3, -8)   →  Points at I' = (-8, -(3)) = (-8, -3).

Read more on rotation here: brainly.com/question/28515054

#SPJ1

f(-7) will be equal to (-13) using given function and conditions.

What are function?

Function is an expression rule, or law that defines relationship between one variable and another variable.

An example of this would be y = x^2. If you put in anything for x, you get one output for y.

In given function,

y is represented by f(x),

f(x) = -x-6  for x ≠ 0

f(x) = 2      for x = 0

We need to find for x = -7 i.e. not equal to 0

So, we will take F(x) = -x-6

So, f(-7) = -7-6

             = -13

So, the value of f(-7) = -13.

Learn more about function from link :

https://brainly.com/question/3458700

#SPJ1

Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

The change in the price level from the first to the second month is 106.4

Price index: Price index, measure of relative price changes, consisting of a series of numbers arranged so that a comparison between the values for any two periods or places will show the average change in prices between periods or the average difference in prices between places.

A college student purchases 4 movie tickets for $7 each, 2 CDs for $13 each, and 20 gallons of gasoline at $2 a gallon during the base period.

Gas will cost $2.25 per gallon in the upcoming month, CDs will cost $12.50 each, and cinema tickets will cost $7.50

The price index

=(price in current year/price in last year) x 100

=100/94 x 100

=106.38 or 106.4

The change in the price level from the first to the second month is 106.4

To learn more about Money problems visit:

brainly.com/question/19294126

#SPJ4

The constant proportionality in this situation is $9.85 per house.

To find the constant proportionality in this situation, we can use the formula for direct proportionality: t = kh,

where t represents the total amount earned, h represents the number of houses worked, and k is the constant proportionality.

Given that Gail worked 40 hours last week and earned $394, we can substitute these values into the formula to solve for k.

\(394 = k \times 40\)

To isolate k, we divide both sides of the equation by 40:

k = 394 / 40

Simplifying the expression:

k = 9.85

Therefore, the constant proportionality in this situation is 9.85.

This means that for every house Gail works, she earns $9.85.

The constant proportionality indicates the rate at which the total amount earned changes with the number of houses worked.

In this case, it suggests that Gail earns $9.85 for each house she works.

For similar question on constant proportionality.

https://brainly.com/question/21749206  

#SPJ11