A line contains the point (8, –5). If the slope of the line is 5/7 write the equation of the line using point-slope form.

The label on a package of bolts says each bolt has a diameter of 0.35 inch. To be in the package, the percent error of the diame

qaws [65]

Answer: No

Step-by-step explanation:-

Labeled diameter on the bolt = 0.35 inch

The observed diameter of the bolt= 0.33 inch

${\text {Percentage Error}}=|\frac{\text {labeled value}-{Observed value}}{\text {Observed value}}|\times 100\%$

${\text{Percentage Error}=|\frac{0.35-0.33}{0.33}|\times 100\%=6.06\%$

For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.

7 0

3 years ago

Read 2 more answers

What is the area of the actual square window shown in the scale drawing?

larisa86 [58]

The area of the actual square window = 2.25 m².

<h3>Scale Drawing</h3>

Scale drawing relates the actual length of an object to its length on a paper.

Given a scale of 1 in = 2 m, it means 1 in on paper is about 2 m of the actual length of the object.

Thus:

Length on scale drawing = 0.75 in
Actual length = x

Therefore:

1/2 = 0.75/x

Cross multiply

x = 1.5 m

Area of the actual square window = 1.5² = 2.25 m².

Learn more about scale drawing on:

brainly.com/question/25324744

5 0

1 year ago

PLEASE HELP!!!

AlekseyPX

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = $\frac{m(b) - m(a)}{b - a}$

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = $\frac{4 - (-12)}{2 - (-2)}$

= $\frac{16}{4}$

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = $\frac{n(b) - n(a)}{b - a}$

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = $\frac{6 - (-6)}{2 - (-2)}$

= $\frac{12}{4}$

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = $\frac{q(b) - q(a)}{b - a}$

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = $\frac{-12 - (-4)}{2 - (-2)}$

= $\frac{-8}{4}$

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = $\frac{p(b) - p(a)}{b - a}$

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = $\frac{-4 - 12}{2 - (-2)}$

= $\frac{-16}{4}$

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

3 0

2 years ago

Translate the phrase into a numerical expression. One hundred devided by the quantity three times five

tester [92]

Answer:

$\dfrac{100}{3 \times 5}$

Step-by-step explanation:

$\dfrac{100}{3 \times 5}$

6 0

2 years ago

The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However,

kolezko [41]

Answer:

(a) 0.0128 to 4 decimal places

(b) The 90% confidence interval is 119.1 < μ < 121.0 to 1 decimal places

Step-by-step explanation:

See the attached documents and graphs. Cheers!

Download pdf

8 0

2 years ago