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vova2212 [387]
3 years ago
6

Identify the value of x that makes each pair of ratios equivalent 6 to 8 and 18 to x

Mathematics
1 answer:
vaieri [72.5K]3 years ago
6 0
Set up a proportion 
6/8 ≈ 18/x
cross multiply and solve for x, and get
x≈24
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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti
elena-14-01-66 [18.8K]

Answer:

a)

y = 0.3035 + 0.0082x

b)

0.6315 mm

c)

x = 23.9634 °C

Step-by-step explanation:

a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.

We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}

Replacing the values in our formula (we will round at the end of the calculations)

\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476

the Y-intercept b is computed with the formula

\bf b=\bar y-m\bar x

therefore we have

\bf b=0.5188-0.008169476*26.36=0.303452613

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.

We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places

Here, we replace y with 0.5 and solve for x

0.5 = 0.3035 + 0.0082x ===> x = (0.5-0.3035)/0.0082 ===>

 

x = 23.9634 °C

6 0
3 years ago
How to write 0.997 as a fraction?
cluponka [151]
997/1000, or just round it to 1. <em>If I helped click thanks please  (:</em>
6 0
3 years ago
Read 2 more answers
Help needed now with Math question.
saveliy_v [14]

Answer:

is the last one

Step-by-step explanation:

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How many books are on each shelve if there are 64 books on 4 shelves?
castortr0y [4]

Answer:

In each shelves there are 64/4 books I.e. 16.

5 0
3 years ago
2. Which of the following phrases means "is not greater than or equal to"?
ruslelena [56]
I'm pretty sure it would be "is at most" "is less than" and "does not exceed"
7 0
3 years ago
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