Sam ran 21.25 over 5 days. If he ran the same number of miles each day, how many miles did Sam run per day?

Answer:

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Use the principle of inclusion-exclusion.

Substitute values and find the number of Both:

Find out how many read only one newspaper:

So, 30 people read both newspapers, and 70 people read only one newspaper.

The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.

It should be noted that graph simply means a diagram that's used to show the information about a data given.

Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.

Therefore, the correct option is C.

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Answer:14 I think

Step-by-step explanation:

It’s about inequalities

Answer:

this is a kite so angle bod is congruent to angle a

a = 120 degrees

360 degrees in a kite. 360 - 102 - 102 - 58 = 98

B= 98 degrees

Answer:

$5 per person

Step-by-step explanation:

3 people. 5 dollars each. 15 dollar admission. 3x5 is 15

Answer:

-$83

Step-by-step explanation:

Create an equation to model Nina's balance.

\(40-63+80-140=-83\)

Answer:

65 hot dogs, 96 sodas

Step-by-step explanation:

x + (x + 31) = 161

2x + 31 = 161

2x = 130

x = 65

65 hotdogs

65 + 31 = 96

96 sodas

Reason: Given

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Reason: Perpendicular lines form right angles.

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Reason: All right angles are congruent.

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Reason: Given

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Reason: Given

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Reason: HL

Answer:

varied

square root of number never result negative number

Step-by-step explanation:

There will only be one real solution.

If \(x\) is a real number, the square root function \(\sqrt x\) will only have real solutions when \(x\ge0\).

For \(x<0\), we get imaginary solutions.

Also, when \(\sqrt x> 0\), \(x>0\)

In other words, when the square root of \(x\) is a positive real number,  \(x\) will be a unique positive number.

We can see this when trying to solve the equation given in the question

So, the equation

\(\sqrt x=c\)

where \(c>0\), when solved, will give

\(\sqrt x=c\\(\sqrt x)^2=c^2\\x=c^2\)

We will have a unique solution because squaring a positive real number gives a single result.

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Answer: 157.5

"Of" means to multiply. When multiplying percentages by whole numbers, the percentage becomes smaller. The commonly asked question in scenarios just like this is, "what is x% of y?" where x is the percentage and y is your number you want a percentage out of. This question requires you to use multiplication, because it uses the word, "of".

\(\bold{Step-by-step}\)

\(\mathrm{"What}\) \(\mathrm{is}\) \(\mathrm{x\%}\) \(\mathrm{of}\) \(\mathrm{y?"}\)

\(P = (x\% \times y)\\P = (75\% \times 210)\\p = 75\% = 0.75\\P = (0.75 \times 210)\\P = 157.5\)

Any concerns, notify me. Have a good day!

The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

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Answer:

1. 160

2. 18

Step-by-step explanation:

Replace variables 4(-5)^2-(-5)(3)+5(3)^2

simplify 100+15+45

= 160

Answer:

B

Step-by-step explanation:

I just took the test

Answer: b he's right

Step-by-step explanation:

Answer:

I got x= 57 degree

Step-by-step explanation:

Steps in the photo-

Answer:

57 degree

Step-by-step explanation:

Like what he said.

In order to be within a 1% margin of error at a 95% confidence level, the candidate would need to survey 9604 people in the community. The size of the sample is 9604.

We have a political candidate who wants a 1% margin of error at a 95% confidence level. To find the size of the sample, we use the formula given below;

n = [ Z (α/2) / E ]²

Where,

n = the sample size required

Z (α/2) = the value obtained from the standard normal distribution for the given level of confidence

E = the margin of error

Here, α = 1 - 0.95 = 0.05

Z (α/2) = Z (0.025), is the z-value corresponding to 0.025 in the normal distribution table. It is found to be 1.96.

Now, substituting the given values in the formula,

n = (1.96² * 0.5 * 0.5) / 0.01² ⇒ 9604

Hence, the sample size required for the poll is 9604.

However, this is not feasible, as it would be very expensive and time-consuming. Therefore, we will round the answer to the nearest whole number as we are looking for a practical solution. Thus, the candidate would need to survey 9604 people in the community (rounded to the nearest whole number).

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The equations for r2 and r1 to calculate the value of el y', the system of linear equations, the most common methods to solve them are substitution, elimination, or matrix methods such as Gaussian elimination or Cramer's rule.

To solve the given problem using the double integration method, we need to find r2, r1, and el y'.
Step 1: Determine the support conditions and the shape of the beam.

This information is essential for the double integration method.
Step 2: Apply the double integration method to find the equation for the bending moment.

This equation will help us determine r2 and r1.
Step 3: To find r2, consider the section of the beam where it is loaded. Determine the equation for the bending moment at this section using the double integration method.

Then, integrate this equation once with respect to x and set it equal to zero. Solve for r2.
Step 4: To find r1, consider the section of the beam where it is supported. Determine the equation for the bending moment at this section using the double integration method.

Then, integrate this equation once with respect to x and set it equal to zero. Solve for r1.
Step 5: Use the equations for r2 and r1 to calculate the value of el y'.
Step 6: Once you have el y', you can use it to determine the final answer to the problem.
Remember to strictly use two decimal places for the values obtained from calculations.

Question : I need the values of r2 and r1 and el y', and provide the final answer. Please round all values to two decimal places.

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Answer:

C-17 I think my bad

Step-by-step explanation:

Answer:

we have:

10*(9x-1+10)=9(9+11)

10(9x+9)=9*20

9(x+1)=9*20/10

x+1=18/9

x+1=2

x=2-1

x=1

Now

RS:9×1-1=8

Answer:

38%

Step-by-step explanation:

Answer:

the answer is 38%

Step-by-step explanation:

multiply 19 by 2 because 50 is half of 100

Answer:

3b²(4b²+1)

Step-by-step explanation:

You can factor out a 3b²

3b²(4b²+1)

Answer:

Hey friend, need some help if you factor 3b^2 out of 12b^4+3b^2, in other words, 3b^2 (4b^2 + 1)

Show your work:

3b^2 (3b^2 / 12b^4) + (3b^2 / 3b^2)

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The z-scores that separate the middle 60% of the distribution from the area in the tails of the standard normal distribution are approximately -0.84 and 0.84.

To calculate these z-scores, we need to find the z-score that corresponds to the cumulative probability of 0.20 (10% in each tail). We can use a standard normal distribution table or a statistical calculator to find this value. Looking up the cumulative probability of 0.20 in the table, we find the corresponding z-score to be approximately -0.84. This z-score represents the lower bound of the middle 60% of the distribution.

To find the upper bound, we subtract -0.84 from 1 (total probability) to obtain 0.16. Again, looking up the cumulative probability of 0.16 in the table, we find the corresponding z-score to be approximately 0.84. This z-score represents the upper bound of the middle 60% of the distribution.

In conclusion, the z-scores that separate the middle 60% of the distribution from the area in the tails of the standard normal distribution are -0.84 and 0.84. This means that approximately 60% of the data falls between these two z-scores, while the remaining 40% is distributed in the tails of the distribution.

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The mean of a binomial probability distribution with p = 0.32 and n = 150 is 48

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. In the case of a binomial distribution with n trials and probability of success p, the mean, or expected value, is equal to the product of the number of trials and the probability of success, which is np.

In this case, the problem provides the values of p and n, which are p = 0.32 and n = 150, respectively. Therefore, the mean can be calculated by multiplying these two values

μ = np = 150 x 0.32 = 48

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1. To determine the number of tubs John must sell per show to break even, we need to consider the fixed costs and the contribution margin per tub. The contribution margin is the difference between the selling price and the variable cost per tub.

In this case, the variable cost is the wholesale cost of $30 per tub. The contribution margin per tub is $80 - $30 = $50.  To calculate the break-even point, we divide the fixed costs by the contribution margin per tub:

Break-even point = Fixed costs / Contribution margin per tub

Break-even point = $900 / $50 = 18 tubs

Therefore, John must sell at least 18 tubs per show to break even.

2a. To earn a profit of $1,100 per show, we need to determine the sales volume in units necessary. The desired profit is considered an additional fixed cost in this case. We add the desired profit to the fixed costs and divide by the contribution margin per tub:

Sales volume for desired profit = (Fixed costs + Desired profit) / Contribution margin per tub

Sales volume for desired profit = ($900 + $1,100) / $50 = 40 tubs

Therefore, John needs to sell 40 tubs per show to earn a profit of $1,100.

2b. To determine the sales volume in dollars necessary to earn the desired profit, we multiply the sales volume in units (40 tubs) by the selling price per tub ($80):

Sales volume in dollars for desired profit = Sales volume for desired profit * Selling price per tub

Sales volume in dollars for desired profit = 40 tubs * $80 = $3,200

Therefore, John needs to achieve sales of $3,200 to earn a profit of $1,100 per show.

c. Income Statement (condensed version):

Sales Revene: 40 tubs * $80 = $3,200

Variable Costs: 40 tubs * $30 = $1,200

Contribution Margin: Sales Revenue - Variable Costs = $3,200 - $1,200 = $2,000

Fixed Costs: $900

Operating Income: Contribution Margin - Fixed Costs = $2,000 - $900 = $1,100

The condensed income statement confirms the answers from parts a and b, showing that the desired profit of $1,100 is achieved by selling 40 tubs and generating sales of $3,200.

3. The margin of safety represents the difference between the actual sales volume and the breakeven sales volume.

Margin of safety in sales dollars = Actual Sales - Breakeven Sales = $3,200 - ($50 * 18) = $2,300

Margin of safety in units = Actual Sales Volume - Breakeven Sales Volume = 40 tubs - 18 tubs = 22 tubs

Margin of safety as a percentage = (Margin of Safety in Sales Dollars / Actual Sales) * 100

Margin of safety as a percentage = ($2,300 / $3,200) * 100 ≈ 71.88%

Therefore, the margin of safety is $2,300 in sales dollars, 22 tubs in units, and approximately 71.88% as a percentage.

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Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

To predict the non-violent crime rate in City 17 using the regression equation, we need to know the unemployment rate of City 17.

Unfortunately, the unemployment rate of City 17 is not provided in the given information. Without that information, we cannot make an accurate prediction using the regression equation.

In a regression analysis, the predictor variable (unemployment rate) is used to predict the response variable (non-violent crime rate) based on the relationship between the two variables observed in the sample data. Without the specific value of the unemployment rate in City 17, we cannot calculate the predicted non-violent crime rate accurately.

Therefore, we need the unemployment rate of City 17 to make a prediction. If you have that information, please provide it, and I'll be happy to help you calculate the predicted non-violent crime rate using the regression equation.

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Answer:

-2x

Step-by-step explanation:

hope it helps!!!!!

Answer:

5/6

Step-by-step explanation:

Answer:

Greatest common factor (GCF) of 60 and 64 is 4.

Step-by-step explanation:

The HCF of two numbers 60 and 64 is 4.

LCM is the least common multiple is the smallest number that is divisible by two or more than two given numbers.

We know that the greatest common factor of two or more than two numbers is the largest number that divides the given numbers completely.

Given we have to find HCF of 60 and 64.

2 can divide both the numbers but 4 also divides the numbers and n such no. more than 4 divide them completely and simultaneously.

∴ HCF of 60 and 64 is 4.

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Answer:

15.12

Step-by-step explanation:

15.12