If a person walks 1/4 in 10 minutes , how far will that person walk in one hour

Answer:

3 units ×16 units

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

Length = x+13=6+13=19units

Step-by-step explanation:

P = 2(l +w)

Let width be x

Length = x + 13

P = 38

38 = 2(x + 13 + x)

38 = 2(2x + 13)

38 = 2x + 26

2x = 38 - 26

2x = 12

x = 12/2

x = 6unit

Width = 6units

Length = x + 13 = 6+13 = 19units

The formula for the 'B' variable is V/MK

To solve for the variable B is to make it the subject of formula.

Subject of formula is the variable that is expressed in terms of the other variables in a given formula, expression, function or equation.

Example;

In the equation,  2x + y = 4, let's make 'y' the subject of formula

y = 4 - 2x

Given the expression;

V=BMK

To make 'B' the subject, we need to divide both sides by the coefficients of B, we have;

V/MK = BMK/MK

B = V/MK

Thus, the formula for the 'B' variable is V/MK

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The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

Answer:

Interst is $30,000

Total Money is $50,000

Step-by-step explanation:

$20,000 x 0.10(divided by 100 since its percent) x 15 = 30,000

You earn $30,000 from interest alone

$30,000 + $20,000 = $50,000

The total amount of money you will have is $50,000

Answer:

-6n - 13

Step-by-step explanation:

(-4n - 8) - (2n + 5)

Subtract -4n and 2n.

Then Add 8 and 5.

-6n - 13

The difference between collinear and coplanar is that collinear points line on the same line and coplanar lie on the same plane.

On a single straight line, collinear points are located. A scalar multiple of two collinear vectors can also be used to represent them. If the two vectors p and q are collinear, then p=kq, where k is a scalar value We will now talk about coplanar, which refers to objects that are on the same plane and can be said to be coplanar.

Whether we use points or vectors, the terms "collinear" and "coplanar" are properties that can be utilised in a variety of situations..

If p→,q→

are two collinear vectors then p→=kq→

where k

is a scalar number.

If p→,q→,r→

are three coplanar vectors then p→=mq→+nr→

where m,n

are scalar numbers.

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Answer:

you have to show a question, not just the graph

Step-by-step explanation:

The solution of the square root equation is x = 8

A square root is a number such that when multiplied by itself, it gives another number.

The square root of a number x is given by √x

Given the square root equation above, we have that

√(x - 4) = - 2

To solve this equation, first, we remove the square root by squaring both sides of the equation. So, we have that

√(x - 4) = - 2

√(x - 4)² = (- 2)²

x - 4 = 4

Adding the number 4 to both sides of the equation, we have that

x - 4 + 4 = 4 + 4

x + 0 = 8

x = 8

So, the solution of the equation is x = 8

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The equation that can be used to solve the problem is 66/x + 40/x = 5.3

gage rate of travel on the mountain roads is 20 mph and on the country roads is 48 mph.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. Finding the values of the variables that result in the equality is the first step in solving an equation with variables.

Given that:

In mountain Road

distance = 66 miles ; rate = x mph

⇒ time = d/r = 66/x hrs

In country Road

distance = 96 miles ; rate = 2.4x mph

⇒ time = d/r = 96/(2.4x)

⇒ time = d/r = 40/x hrs.

Equation:

time + time = 5.3 hrs

⇒ 66/x + 40/x = 5.3

⇒ 106/x = 5.3

⇒ 5.3x = 106

⇒ x = 20 mph on mountain Roads

⇒ 2.4x = 2.4*20 mph on country Roads

⇒ 48 mph on country Roads

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Answer:

x = 33

Step-by-step explanation:

4x - 14  = x + 85

3x = 99

x = 99/3

x = 33

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

√36 indicates the principal (or positive) square root so √36=6 .

The square root of √36 is 6.

Hope this helps ! <3

Answer:

a=20

Explanation:

In a parallelogram, the opposite angles are congruent.

Therefore:

We solve for a.

The value of a in the parallelogram is 20.

The scale factor of the dilation is 0.5

From the figure, we have the following lengths:

AB = 2

AB' = 1

The scale factor of dilation is then calculated as:

Scale factor = AB'/AB

This gives

Scale factor = 1/2

Evaluate

Scale factor = 0.5

Hence, the scale factor of the dilation is 0.5

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Answer:

The ratios are not equal, so this is not a dilation.

Step-by-step explanation:

4/3 is the first ratio

3/4 is the second ratio

Since these ratios are not equal there is not a dilation.

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is 20 units because translations do not change the length.

Answer:

I think its C

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

65 is 13% of 500

500 x .13= 65

Answer: i think i got b or c onr of them are correct  :)

Step-by-step explanation:

The estimated population mean with

80% confidence =  [30.856, 33.135]

90% confidence = [30.543, 33.456]

98% confidence =  [29.94, 34.06]

For a population with unknown mean  and known standard deviation , a confidence interval for the population mean, based on a simple random sample of size n, is \(\bar x +_{-}z^{*}\frac{\sigma}{\sqrt{n} }\) , where z* is the upper (1-C)/2 critical value for the standard normal distribution.

Population standard deviation = 5.6

Sample mean = 32

Sample size = 40

Given confidence level = 80%

\(z^{*}\) at 80% confidence level = 1.28

Upper confidence interval = 33.135

Lower confidence interval = 30.865

Population mean lies between [30.856, 33.135] at 80% confidence level.

Given confidence level = 90%

\(z^{*}\) at 90% confidence level = 1.65

Upper confidence interval =33.456

Lower confidence interval = 30.543

Population mean lies between [30.543, 33.456] at 90% confidence level.

Given confidence level = 98%

\(z^{*}\) at 98% confidence level = 1.65

Upper confidence interval = 34.06

Lower confidence interval = 29.94

Population mean lies between [29.94, 34.06] at 98% confidence level.

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Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.

The mean refers to the average value.

The average is the quotient of the total value divided by the number of items in the data set.

The number of boys in the class = 26

The number of girls in the class = 20

The total number of boys and girls in the class = 46

The mean number of counters that the boys have = 28

The total number of counters that the boys have = 728 (28 x 26)

The mean number of counters that the girls have =19

The total number of counters that the girls have = 380 (19 x 20)

The total number of counters that the class has = 1,108 (728 + 380)

The average or mean number of counters in the class = 24 (1,108 ÷ 46)

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Answer:

60 / 2 = 30 X .10 = n

Step-by-step explanation:

60 divided by 2 is 30 and then each of those bottles are worth .10 cents and you multiply 30 by .10 and you get 3 that is how much each girl gets

Answer:

a) The mean is 10 and the variance is 0.0625.

b) 0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.

c) 10.58 minutes.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Normally distributed with a mean of 10 minutes and a standard deviation of 2 minutes.

This means that \(\mu = 10, \sigma = 2\)

Suppose 64 visitors independently view the site.

This means that \(n = 64,  = \frac{2}{\sqrt{64}} = 0.25\)

a. The expected value and the variance of the mean time of the visitors.

Using the Central Limit Theorem, mean of 10 and variance of (0.25)^2 = 0.0625.

b. The probability that the mean time of the visitors is within 15 seconds of 10 minutes.

15 seconds = 15/60 = 0.25 minutes, so between 9.75 and 10.25 seconds, which is the p-value of Z when X = 10.25 subtracted by the p-value of Z when X = 9.75.

X = 10.25

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{10.25 - 10}{0.25}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.8413.

X = 9.75

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{9.75 - 10}{0.25}\)

\(Z = -1\)

\(Z = -1\) has a p-value of 0.1587.

0.8413 - 0.1587 = 0.6826.

0.6826 = 68.26% probability that the mean time of the visitors is within 15 seconds of 10 minutes.

c. The value exceeded by the mean time of the visitors with probability 0.01.

The 100 - 1 = 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

\(Z = \frac{X - \mu}{s}\)

\(2.327 = \frac{X - 10}{0.25}\)

\(X - 10 = 2.327*0.25\)

\(X = 10.58\)

So 10.58 minutes.

Answer:

all you have to do is graph i dont see what i can help you with im

sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

x + y = 15

11x + 9y = 156

Answer:17

Step-by-step explanation:

Answer:

We have 8 boys and 12 girls, and we have 5 boys that have a speaking part, and 7 of the 12 girls do not have a speaking part, so 5 girls have a speaking part, which makes 10 speaking parts out of 20 so we have \(\frac{10}{20} = \frac{1}{2}\).

Hope this helps!

Answer:

Step-by-step explanation:

This math problem is only made difficult b/c they want you to figure out home many total kids have a speaking part in the play

5 boys do , but they give the mount of girls in a tricky way solve that part.  then mulitipy by 5 to make the totals from 100

20 total  kids

8 are boys

20-8 = 12

12 are girls

7 of those 12 do NOT speak in the play

12 - 7 = 5

5 girls speak in the play

5 boys + 5 girls = 10 kids speak in the play

you can probably figure out from   here...  1/2 of the kids speak .. that are in the play

so it's 50% as likely .. to pick someone that has a speaking part in the play as not