All categories

3 years ago

Please tell me the answer and explain your work

Mathematics

1 answer:

forsale [732]3 years ago

8 0

Basically what you do is make both of the equations equal to each other since it is parallel meaning they both are equal to each other since it’s both equal to 180.

You might be interested in

How do you find the x and y intercepts?

swat32

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y"

8 0

3 years ago

Historically, these bolts have an average thickness of 10.1 mm. A recent random sample of 10 bolts yielded these thicknesses:

Akimi4 [234]

Answer:

a) Sample mean = 9.99

Sample standard deviation = 0.3348

b) -1.0389

c) 0.1631

Step-by-step explanation:

We are given the following in the question:

9.7, 9.9, 10.3, 10.1, 10.5, 9.4, 9.9, 10.1, 9.7, 10.3

a) sample mean and standard deviation

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{99.9}{10} = 9.99$

Sum of squares of differences = 1.009

$S.D = \sqrt{\dfrac{1.009}{9}} = 0.3348$

b) observed value of the t-statistic

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{9.99 - 10.1}{\frac{0.3348}{\sqrt{10}} } = -1.0389$

c) probability of these statistics (or worse) if the true mean were 10.1 mm

Degree of freedom = n - 1 = 9

Calculating the value from the table

$P(x < 9.99) = 0.1631$

0.1631 is the the probability of these statistics (or worse) if the true mean were 10.1 mm

8 0

3 years ago

Can someone please help me

Kipish [7]

Answer:

A) 23cm.

B) 32.0625 square cm.

Step-by-step explanation:

Perimeter: Just add all the sides together like so:

4.75x2 + 6.75x2 = 23cm.

Area: Multiply the base and height together:

4.75 x 6.75 = 32.0625 square cm.

6 0

3 years ago

Read 2 more answers

The convenience store sells a 16-ounce bottle of water for $2.40 and a 28-ounce bottle of water for $2.80. Tiana wants to compar

mezya [45]

Answer:

The cost of 16 ounce bottle would be .15 cents per ounce = $2.40

Step-by-step explanation:

2.40/16= .15

2.80/28= .10

4 0

2 years ago

A square prism has a height of 15 centimeters and a volume of 960 cubic centimeters. What is the measure of the width of the squ

Serggg [28]

Answer:

Step-by-step explanation:

Because if you do 15•8•8 then it equals 960 and the formula for volume is l•w•h

7 0

3 years ago