All categories

3 years ago

Find the value of x such that the data set 31.7, 42.8, 26.4, and x has a mean of 35.

Mathematics

1 answer:

Travka [436]3 years ago

5 0

Answer:

x = 39.1

Step-by-step explanation:

To find the mean, add up all the data points and then divide by the number of data points

(31.7+ 42.8+ 26.4+ x)/4 = 35

Multiply each side by 4

(31.7+ 42.8+ 26.4+ x)/4*4 = 35*4

(31.7+ 42.8+ 26.4+ x) = 140

Combine like terms

100.9+x = 140

Subtract 100.9 from each side

x = 140-100.9

x = 39.1

You might be interested in

2. A book with a green sticker costs $2 less than half the price of a

Damm [24]

For this case we can propose an equation that will allow us to find the price of one of the books knowing the price of the other.

x: Let the variable that represents the price of the book with a green sticker

y: Let the variable that represents the price of the book with a yellow sticker

According to the statement we have:

$x = \frac {y} {2} -2\\$

$y=2(x+2)$

Finally, we can substitute the price of one of the books and clear the value of the other as the case may be.

Answer:

$x = \frac {y} {2} -2$

8 0

3 years ago

A spinner is divided into five sections, labeled A, B, C, D, and E. Devon spins the spinner 50 times and records the results in

tatuchka [14]

Answer:

64/200 times the spinner will land on vowel

Step-by-step explanation:

On the table, the chart says 10 times for A and 6 times for E. This means that the experimental probability for rolling a vowel in a trial of 50 rolls is 16/50.

The next step is create equal ratios. 16/50 = x/200. 50 times 4 is 200 so 16 times 4 is 64.

4 0

3 years ago

A chef is using vinegar for a salad dressing recipe.

Vesna [10]

40 bytdbgesdhgrecvfeewdvfewsxxeww

3 0

3 years ago

Read 2 more answers

2x-1=3/4x+9 Help Me Brainilist to whoever explains the best

alexdok [17]

Answer:

x=8

Step-by-step explanation:

normally it would be 2x-1= $\frac{3}{4}$ x+9 so now we have to combine the x into one fraction which will be 2x-1= $\frac{3x}{4}$ +9 now for my way i will be taking the -1 to the other side and when that happens its going to become positive so now the answer will be 2x= $\frac{3x}{4}$ +10 ok so now we have to have the x's to the same side so i have to drag the fraction to the other side and making it positive which will conclude into 1.25x=10 and now 10 divided by 1.25 is 8 so the answer is x=8 (sorry for the ok nows) hope this helped

5 0

3 years ago

Read 2 more answers

Write the equation that passes through the following points: (5,0) and (−10,−5)

Vikentia [17]

Answer:

The answer is:

$y = \frac{1}{3} x - \frac{5}{3}$

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

$y = mx + b$

❃Incase you also forgot, The is what the slope formula is ☟

$m = \frac{y_2 - y_1 }{x_2 - x_1}$

➊ First: We are going to be solving for the slope.

$m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3}$

➋Second: We find the y-intercept.

$y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b}$

➌Third: Plug in.

$y = \frac{1}{3} x - \frac{5}{3}$

4 0

3 years ago