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2 years ago

What is the mean of the data set? {32, 33, 34, 34, 36, 38, 38, 38, 40, 42}

2 answers:

7 0

Add all the numbers:

32 + 33 34 + 34 + 36 + 38 + 38 + 38 + 40 + 42 = 365

There are 10 numbers.

Divide:
Total by how many numbers there are

Total = 365
Numbers = 10

365 / 10 = 36.5

The mean is 36.5

Hope this helped☺☺

slavikrds [6]2 years ago

3 0

36.5 is the mean of the set of data. The mean Is the average of the set. To find the average you:

1) Add up all of the numbers in your set. (365)
2) Then, divide the sum by the quantity of numbers. (365/10=36.5)

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at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite

zalisa [80]

Answer:

$V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute$

Step-by-step explanation:

To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.

If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.

$F + E = 30\\$

We also know that:

$E = 3F$

Since the express train travels 3 times faster than the freight train.

So, like both equations, we have to:

$F + 3F = 30\\F = 30/4\\F = 7.5 miles\\$

Then $E = 7.5*3 = 22.5$ miles in the opposite direction.

This is the distance you traveled in 15 minutes.

Therefore, the speed of the express train ( $V_{E}$ ) is the distance traveled between the time it did

$V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute$

3 0

3 years ago

Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)

Pavlova-9 [17]

Answer:

$y=\frac{1}{4}x+2$

m= $\frac{1}{4}$

b= 2

$y=-\frac{1}{3}x+1$

m= $-\frac{1}{3}$

b= 1

$y=3x+4$

m= 3

b=4

Step-by-step explanation:

1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.

The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=\frac{1}{4}x+2$

2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.

The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=-\frac{1}{3}x+1$

3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.

The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that $y=3x+4$

3 0

1 year ago

A restaurant offers three sizes of coffee and four differerſt types of coffee.

Kruka [31]

<h3>Answer: 864</h3>

=======================================================

Work Shown:

There are,

3 sizes of coffee
4 types of coffee
2 choices for cream (you pick it or you leave it out)
2 choices for sugar (same idea as the cream)

This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.

Multiply the values of A and B to get the final answer

A*B = 48*18 = 864

There are 864 ways to order a coffee and bagel at this restaurant.

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

If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

3 0

2 years ago

Jerry needs 216 posts to build a fence. He has 88 posts and needs P more. Write an equation that you could use to find the numbe

devlian [24]

Answer:

P = 128 Post

Step-by-step explanation:

Total post needed = 216 posts

Number of post Jerry has = 88 posts

Number of posts jerry still needs = P

Total = Number of post Jerry has + Number of posts jerry still needs

216 = 88 + P

216 - 88 = P

128 = P

P = 128 Post

7 0

2 years ago

3. Last year, the numbers of calculators produced per day at a certain factory were normally distributed with a mean of 560 calc

Mademuasel [1]

Answer:

3. Last year, the numbers of calculators produced per day at a certain factory were normally distributed with a mean of 560 calculators and a standard deviation of 12 calculators.(C)

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ❤☺️☻♨️☻☺️❤

8 0

2 years ago