What is the unit rate for meters per second if a car travels 374 meters in 17 seconds

Answer:

6.25YEARS

Step-by-step explanation:

S.I.=P×R×T÷100

T=S.I.×100÷P×R

T=500×100÷2000×4

T=500÷20×4

T=500÷80

T=6.25 YEARS

The values of m and b that creates a system of equations with no solution are; m = -2 and b = - ¹/₃ or -²/₃

The first function is given as;

y = -2x + ²/₃

Now, a linear System that has no solutions is graphically represented by two parallel lines and will have the same slope. Thus, for the equation; y = mx + b, it means that m must be equal to -2.

Thus, if m = -2 then b may be either equal to -1/3 or -2/3 according to the given options.

Given the alternatives, the no Solution System is;

y = -2x + ²/₃

y = -2x - ¹/₃

or y = -2x + ²/₃

y = -2x - ²/₃

Complete question;

Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of equations. y equals m x plus b. y equals negative 2 x plus StartFraction 3 over 2 EndFraction. A coordinate grid with a line labeled y equals negative 2 x plus StartFraction 3 over 2 EndFraction and passes through the points (9, 1.5) and (1, 0.5). m = –3 and b = m equals negative 3 and b equals negative StartFraction 2 over 3 EndFraction. m = –2 and b = m equals negative 3 and b equals negative StartFraction 1 over 3 EndFraction. m = 2 and b = m equals 2 and b equals negative StartFraction 2 over 3 EndFraction. m = m equals StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction and b = m equals negative StartFraction 3 over 2 EndFraction and b equals negative StartFraction 2 over 3 EndFraction m = -2 and b = m equals negative 2 and b equals negative StartFraction 2 over 3 EndFraction

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Answer:

radius of circle = 3cm

circumference = 18.84cm

diameter = 6cm

Step-by-step explanation:

if the diameter of circle is 6cm

radius of circle = diameter/2

                         = 6/2

                         = 3

circumference of circle = 2\(\pi\)r

                                       = 2 x 3.14 x 3

                                       = 6.28 x 3

                                       = 18.84

Answer:

7+8=15 that's the total

7\15 or 8\15

Answer: that is it’s simplest form

Step-by-step explanation:

The number of jelly beans that fit in a 2001 Chevy Suburban can be calculated by finding the volume of the car's interior and dividing it by the volume of a single jelly bean.

To find the number of jelly beans that fit in a 2001 Chevy Suburban, we first need to calculate the volume of the car's interior. The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length of the Suburban is 219.3in, the width is 78.8in, and the height is 75.4in.

Using the formula V = lwh, we can calculate the volume:

V = 219.3in * 78.8in * 75.4in

Next, we need to find the volume of a single jelly bean. Since the question does not provide this information, we will assume a standard jelly bean size.

Once we have the volume of the car and the volume of a single jelly bean, we can divide the car's volume by the jelly bean's volume to find the number of jelly beans that fit.

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In this question, we are asked to determine the sample proportion of Generation Y web users who use the internet to download music, and then perform a hypothesis test to check if there is sufficient evidence to conclude that a majority of Generation Y web users use the internet to download music.

a) The sample proportion is the proportion of individuals in the sample who reported using the internet to download music. In this case, the sample proportion can be calculated as 297/550 = 0.54, or 54%.

b) To perform the hypothesis test, we need to state the null and alternative hypotheses. The null hypothesis is that the proportion of Generation Y web users who use the internet to download music is equal to 0.5, while the alternative hypothesis is that it is greater than 0.5.

Next, we need to check the conditions for the one-proportion z-test, which are:

1) The sample is a simple random sample.

2) The conditions for the Central Limit Theorem are met (np >= 10 and n(1-p) >= 10).

Since the sample is randomly selected and np = 297*0.5 = 148.5 and n(1-p) = 550 - 148.5 = 401.5 are both greater than 10, we can proceed with the one-proportion z-test.

Using a significance level of 0.01, the critical value is 2.33 (calculated using a z-table or calculator). The test statistic can be calculated as\(z = (0.54 - 0.5) / \sqrt{(0.5 * 0.5 / 550)} = 2.16\). Since the test statistic is less than the critical value, we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that a majority of Generation Y web users use the internet to download music at a significance level of 0.01. However, we can conclude that more than half of the sample (54%) reported using the internet to download music.

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Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

Random assignment of treatments is the best way to ensure that the results of the experiment are valid and not biased. Random assignment of treatments would ensure that the results are not affected by factors such as soil type, climate, and other environmental conditions. This is because random assignment of treatments would ensure that the farms that receive the insecticide treatment are not systematically different from those that do not receive the treatment. This is important in order to gain accurate results from the experiment.

Random assignment of treatments is accomplished using the following formula:

Treatment Assignment = (Number of Farms) x (Random Number between 0 and 1)

By randomly assigning treatments to the farms, we can be sure that the results are not skewed by external factors. This will allow us to better determine the effectiveness of different insecticides in controlling pests and their impact on the productivity of tomato plants.

Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.

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Answer:

Step-by-step explanation:

To find the length of Oak Road from Main Street to the intersection of Highway 33, we can set up a proportion using the information that the triangle formed by the intersections of Oak Road, Main Street, and Highway 33 is similar to triangle ABC. Let's call the length of Oak Road x.

Using the information that the section of Main Street between Oak Road and Highway 33 is eight miles long, we can write:

x / 8 = 8 / x

Cross-multiplying gives us:

8x = 64

Finally, solving for x, we get:

x = 8

So the length of Oak Road from Main Street to the intersection of Highway 33 is 8 miles, rounded to the nearest tenth.

Answer:

25

Step-by-step explanation:

Any numbers to the 2nd powered are always squared. Whenever you are given an exponent, the base is the number that you multiply, and the power is one more than how many times you multiply the base number together. In this case, you multiply five by itself once to get 25 as your answer.

In order to express the confidence interval in the form p ± E, first we have to determine the midpoint of the interval, like this:

The value of the error, E, can be calculated by taking the difference between p and the end of the interval, like this:

Then, we can express 0.555 < p < 0.999 in p + E notation as 0.777 ± 0.222

The confidence interval can be written as 0.777 ± 0.222.

The confidence interval 0.555 < p < 0.999 can be expressed in the form of p ± E.

To find the margin of error (E), we can subtract the lower limit (0.555) from the upper limit (0.999) and divide it by 2:

E = (0.999 - 0.555) / 2

E = 0.222

Therefore, the confidence interval 0.555 < p < 0.999 can be expressed as:

p ± E

where p is the point estimate and E is the margin of error. In this case, the point estimate would be the midpoint of the interval, which is the average of the lower and upper limits:

p = (0.555 + 0.999) / 2

p = 0.777

Hence, the confidence interval can be written as 0.777 ± 0.222.

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Following a dilatation with a multiplier of \(1/3\), the triangle formed by \(QRS\)point \(S\) is \((1, -2)\).

A closed planar shape with three or even more straight sides is called a polygon. Each polygon has a unique name depending on how many sides it has. For instance, the polygon with 3 sides is known as a triangle since the word "tri" denotes the number three.

There are three sides as well as three angles in every triangle, some of which are the same. In the instance of a right - angled triangle, the three sides are given unique names: the hypotenuse, which is the side that faces the right angle, and the legs, which are the other two sides.

(image coordinates) \(=\) (scale factor) \(*\) (original coordinates)

Let's call the image of point \(S\) "\(S\)'". The scale factor is \(1/3\), and the original coordinates of S are \((3, -6)\).

So, the coordinates of \(S'\) are:

\(S' = (1/3) * (3, -6)\)

\(S' = (1, -2)\)

Therefore, the image of point \(S\) after a dilation with a scale factor of \(1/3\) is \((1, -2)\).

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Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

1/2 x² + x + 3/2 is the correct answer......

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Step-by-step explanation:

Today, we are going to be talking about the three-way principle of mathematics. Basically, there are three ways to solve a problem in math: verbally, graphically, or by example. In this lesson, we will discuss each of these principles by solving sample problems using each type.

The test statistic value is approximately 9.69.

To calculate the test statistic for this problem, we will use the following formula:
Test statistic (z) = (p_sample - p_population) / √(p_population * (1 - p_population) / n)
Where:
- p_sample is the proportion of voters who support the taxpayer-funded free college program in the sample (375/610)
- p_population is the proportion of voters who oppose making all U.S public colleges free according to the 2019 Quinnipiac University poll (58% or 0.58)
- n is the sample size (610)
First, let's find p_sample:
p_sample = 375/610 = 0.6148
Now we need to find the proportion of voters who support the program in the population, since we know that 58% oppose it:
p_population = 1 - 0.58 = 0.42
Now we can plug these values into the test statistic formula:
z = (0.6148 - 0.42) / √(0.42 * (1 - 0.42) / 610)
z = 0.1948 / √(0.2436 / 610)
z = 0.1948 / 0.0201
z ≈ 9.69
The test statistic value is approximately 9.69.

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Answer:

Rate: 250 bagels per hour

3500 bagels in 14 hours

Step-by-step explanation:

Answer:

t/218 = 156

Step-by-step explanation:

Step-by-step explanation:

hope it helps you!!! :)))

The radius, diameter, and area of the circle are, 3.75 m, 7.5 m,

and 44.16 sq m.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

The area of a circle is πr².

Given, Circle X has a 23.55 m circumference.

Therefore, 2πr = 23.55.

Radius(r) is,

r = (23.55/2π) m.

r = 3.75 m.

Diameter = 2×r = 7.5 m.

The area of the circle is,

= π(3.75)² sq m.

= 44.16 sq m.

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To find f(-8) and f(6), all that we need to do is plug in each of the numbers for x.

f(-8) = -8 - 1 = -9

f(-8) = -9

f(6) = 6 - 1 = 5

f(6) = 5

Hope this helps!

If f(-x) = x - 1, then f(x) = - x - 1. So

f(-8) = 8 - 1 = 7

and

f(6) = - 6 - 1 = -7

Answer:

the slope should represent the fee of each class

.

the vertical intercept is the membership fee

Answer:

the y-inyetcept means the starting fee to join

and the slope means fee per class paid by the customers.

Step-by-step explanation:

By using the concept of stratified sampling, it can be concluded that

In this situation, stratified sampling is used.

What is stratified Sampling?

Suppose, there is a population. If it is required to partition the given population into subpopulation, the sampling technique used in this case is called stratified sampling.

A tv station wishes to obtain information on the tv viewing habits in its market area. The market area contains one city of population 170,000 another city of 70,000, and four towns of about 5,000 residents each.

Here,  it is said that the station suspects that the viewing habits may be different in larger and smaller cities and in the rural areas.

So it is advantageous to partition the given population into subpopulation.

So stratified sampling must be used here.

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The distance Fritz travels to work is 12 miles. When he drives, it takes him 40 minutes, which is 2/3 of an hour. When he takes the train, it takes him 30 minutes, which is 1/2 of an hour.

First, we need to convert the time into hours. 40 minutes is 2/3 of an hour, and 30 minutes is 1/2 of an hour.

Next, we need to find Fritz's driving speed. We know that the train travels 15 miles per hour faster than Fritz, so his driving speed is 15 mph.

Finally, we can find the distance to work by multiplying Fritz's driving speed by the time it takes him to drive to work. 15 mph * 2/3 hour = 12 miles.

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Answer:

h = 2 and k = 1.5

Step-by-step explanation:

The solution is, Solve of the system of equations. using elimination,

6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that, the system of equations.

6h-2k=9.......(1)

3h+4k=12 ...........(2)

now, for solving, multiply (1) by 2 & add with  (2),

we get,

12h - 4k = 18

3h + 4k = 12

---------------------

15h = 30

i.e. h = 2

from (1), we get, k = 3/2

Hence, The solution is, Solve of the system of equations. using elimination,

6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.

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Answer:

c for both

Step-by-step explanation:

If Kennedy's balance in the account was $52.91 at the beginning of the month, the account balance at the end of the month will be; $93.45.

To calculate the account balance at the end of the month, we need to subtract all of the debits and add up all the credited amounts. Now the following amounts were debited: −$82.17, −$51.88, −$58.85. So, the sum of the debits was: $192.9.

Also, the sum of credits was: $52.91,  $113.87, and $119.57 =  286.35. So, we will subtract the debits from the credited amounts to have

$286.35 -  $192.9 =   $93.45

So, the amount in his account by the end of the month will be  $93.45.

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