Find the distance and midpoint between the points (7, 3) and (-2,-5).

A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

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Approximately 7 employees took a break longer than 49 minutes.

We have,

In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.

The line within the box represents the median.

The "whiskers" extend to the minimum and maximum values, excluding any outliers.

Given the information provided:

Median = 41

Q1 = 37

Q3 = 49

Largest = 55

Smallest = 35

Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.

Now,

The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:

25% of 27 employees

= (25/100) x 27

= 6.75

Since we cannot have a fractional number of employees, we round up to the nearest whole number.

Therefore,

Approximately 7 employees took a break longer than 49 minutes.

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Answer:

Kara has 67 in total

Tyrone has 82 in total

and together they have 149

im not to sure what your asking but heres what i got...

Answer:

1. c. 34%

2. b. 7.8 hours

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Z-score:

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

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Mean of 6 hours, standard deviation of 1.5 hours.

1. Approximately what percent of people sleep between 6 and 7.5 hours per night?

6 hours = mean

7.5 hours = 6 + 1.5 = 1 standard deviation above the mean.

Approximately 68% of the measures are within 1 standard deviation of the mean. Since the normal distribution is symmetric, 34% are between one standard deviation below the mean and the mean, and 34% are between the mean(6 hours) and 1 standard deviation above the mean(7.5 hours). So the answer is 34%, given by option c.

2. If Aaron had a Z score of 1.2 how many hours did he sleep?

We have that \(Z = 1.2, \mu = 6, \sigma = 1.5\). We have to find X.

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

\(1.2 = \frac{X - 6}{1.5}\)

\(X - 6 = 1.2*1.5\)

\(X = 7.8\)

So option b.

The correct answer is A. g(x)=(x-3)^2+1

The equation of the blue graph is g(x) = (x - 3)² + 1.

Option A is the correct answer.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Since the graphs of f(x) and g(x) intersect at (1.5, 2.5), we can substitute these values into the equations and solve for the constant term:

f(1.5) = g(1.5)

1.5² = g(1.5)

2.25 = g(1.5)

Therefore, we know that the vertex of g(x) is (1.5, 2.25).

Also, since the graphs have the same shape, we know that the vertex of g(x) is obtained by shifting the vertex of f(x) horizontally by the same amount, which is 3 units to the right.

So, the equation of the blue graph can be obtained by replacing x with (x-3) in the equation of the green graph:

g(x) = (x - 3)² + 1

Expanding this equation, we get:

g(x) = x² - 6x + 9 + 1

g(x) = x² - 6x + 10

g(x) = x² - 2 x 3x + 9 + 1

g(x) = (x - 3)² + 1

Therefore,

The equation of the blue graph is g(x) = (x - 3)² + 1.

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The steps to conduct the steps of hypothesis testing on these data are:

The hypothesis will be:

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

I am taking this quiz but I'm pretty sure its....c

Answer:

Volume=πr2h=π·42·8≈402.12386

Step-by-step explanation:

Answer: 36 square centimeters

Step-by-step explanation: Hey there! Let's cut the shape in half horizontally. 6 times 4 for the top portion is 24 square centimeters. We subtract 6 cm from the top by 2 cm from the lower part to get the length of the bottom rectangle. We do 4 times 3 for the area of the bottom rectangle which is 12 square centimeters. Finally, we add 24 sq cm and 12 sq cm to get 36 square centimeters. (I tried my best!)

Answer:

this is really possible to solve.

Step-by-step explanation:

5x+29 or 4x+26.....and many more

A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

Answer:

b. x=20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The question is asking which number is bigger than 19 and less than 25.

The only one that fits the criteria is B. 20.

As a reference, look at which way the "alligator mouth" is facing. That number is supposed to be bigger.

If x>y, then x is bigger because the alligator mouth is facing the x.

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Answer:

28+16=44

Step-by-step explanation:

point of correction it has been solved correctly

when subtracting 44 - 16 it gives you 28

=> 44 - 16

=> 28

SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY

you will minus 28 from one of the numbers before the equal sign

the correct option is 28 + 16 equals to 44

=> 28+16=44

Answer:there is no graphs

Step-by-step explanation:

poop

Answer:

Step-by-step explanation:

1. Start by arranging and organizing things.

2. Make sure to turn of your phone so you don't get distracted.

3. Try to understand what is the question.

4. If you don't understand then, ask a elder or search it up.

5. Give yourself breaks.

6. Try to study more than 2 hours.

The area of the London Eye which has a circular shape is 11,304 m².

To find the area of the London Eye, we need to first determine the shape of the eye and the formula for finding its area. The London eye is circular in shape and the equation for finding its area is πr².

The diameter of the eye is given as 120 cm, so the radius will be 120/2 = 60 cm. Now we substitute this in the expression to have

3.14 × 60²

3.14 × 3600

= 11, 304 m²

So, the area of the London Eye is 11,304 m².

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The rate of change of the given graphed function in the diagram is: D. 5/2.

Rate of change of a function = slope = change in y / change in x.

Using the two points on the coordinate plane, (4, 0) and (8, 10):

Rate of change = (10 - 0) / (8 - 4)

Rate of change = 10/4

Rate of change = 5/2

Rate of change of the function is: D. 5/2.

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The inequality graphed on the number line is the one on the fourth option, we will get:

x > -2

On the number line we can see that we have an open circle at x = -2 (that means that x = -2 is not a solution to the inequality) and then a line that extends to the right side of that value.

Then the inequality is just the set of all numbers larger than -2, then we will get:

x > -2

That is the graphed inequality, and thus, the correct option is the last one.

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Answer:

Step-by-step explanation:

The required least common denominator for the given expression is  4x³(x + 3). Option C is correct.

A rational expression is a mathematical expression that is the ratio of two polynomial expressions. That is, a rational expression is formed by dividing one polynomial expression by another polynomial expression.

Here,
The given rational expression,
= 1/x²  - 1/4x² + 12x

In the question, we have been asked to determine the least common denominator for the given rational expression.

Since least common denominator is given expression,
= x² (4x² + 12x)
= 4x³(x + 3)

Thus, the required least common denominator for the given expression is  4x³(x + 3). Option C is correct.

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Answer:

3/9

Step-by-step explanation:

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

Answer:

x = 29

Step-by-step explanation:

(6x-1) = (5x+28)

or, 6x-1 = 5x+28

or, 6x-5x = 28+1

or, x = 29

Answer: B=130

Step-by-step explanation:

Ok so Let's solve your equation step-by-step.

b+34−34=130

Step 1: Simplify both sides of the equation.

b+34−34=130

b+34+−34=130

(b)+(34+−34)=130(Combine Like Terms)

b=130

b=130

Answer:

b=130

Answer:

Step-by-step explanation:

First, we need to calculate the company's credit sales for the year:

Credit Sales = Receivables / (Days Sales Outstanding / 360)

Credit Sales = R180,000 / (60/360) = R1,080,000

Next, we need to calculate the company's net income:

Net Income = Profit Margin x Credit Sales

Net Income = 0.08 x R1,080,000 = R86,400

We can calculate the company's total equity as follows:

Total Equity = Total Assets x (1 - Debt Ratio)

Total Equity = R4,000,000 x (1 - 0.75) = R1,000,000

Finally, we can calculate the ROE:

ROE = Net Income / Total Equity

ROE = R86,400 / R1,000,000 = 0.0864 or 8.64%

Therefore, Third Rock Ventures' return on equity is 8.64%.

Answer:

k = 2

Step-by-step explanation:

in such a case we look immediately at the cases y = 0 and/or x = 0

only if that does not lead us to an answer, do we need to look further.

y = 0, that means according to the graph that x = -2.

so, we have

0 = |x + k| = |-2 + k|

that can only be the case, if k = 2

and we are done.

Answer:

the answer is 9 square meters