Given 2x - y = 6, solve for y.

Marcus needs to bike at least 80 miles this week for his training if he already has 25 miles this week then how many miles shoul

nadezda [96]

Answer: 55 miles

Step-by-step explanation: Marcus goal is 80 miles for the week. he has already completed 25 miles of that goal so you would subtract 25 from 80 then you would find the miles still left

80-25=55

6 0

2 years ago

What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

lakkis [162]

The lateral area of a cylinder is given by:
Area=πrl+2πr^2
radius,r=12 mm
length,l=5*12=60mm
therefore the lateral area will be:
Area=π*12*60
Area=2,261.95 mm^2
The area of the bases will be:
A=2*π*12^2=904.78 mm^s
The lateral area will be:
2,261.95+904.78
=3,166.73
=3167 mm^2

5 0

3 years ago

A store owner paid $15 dollars for a book. she marked up the price of the book by 40% to determine it's selling price.

Tcecarenko [31]

A) $15 ÷ 40% =
15×.4= 6
15+6= 21

B) $38 × .25=9.5
38-9.5=28.50

28.50×.06=1.71
28.50+1.17=30.21

I think this is how you do it. would wait for other answers as well to double check.

6 0

3 years ago

Read 2 more answers

Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s hou

iren [92.7K]

The formula for midpoint is

( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$ )

Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.

In this case:

$x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown$

^^^Plug in these number into the formula given above...

( $\frac{3+x}{2}$ , $\frac{-2 + y}{2}$ )

To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation ( $\frac{3+x}{2}$ ) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:

$\frac{3+x}{2}$ = -5

3 + x = -5 * 2

3 + x = -10

x = -10 - 3

x = -13

To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation( $\frac{-2 + y}{2}$ ) and set it equal to the y-value of the midpoint (3). Then you must solve for y:

$\frac{-2 + y}{2}$ = 3

-2 + y = 3 * 2

-2 + y = 6

y = 6 + 2

y = 8

The coordinate of Preston's house is:

(-13, 8)

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

2 years ago

The data in NutritionStudy include information on nutrition and health habits of a sample of people. One of the variables is Smo

Aleks04 [339]

Answer:

H₀: p = 0.20.

Hₐ: p ≠ 0.20.

Step-by-step explanation:

The question is:

The data in Nutrition Study include information on nutrition and health habits of a sample of 315 people. One of the variables is Smoke, indicating whether a person smokes or not (yes or no). Use technology to test whether the data provide evidence that the proportion of smokers is different from 20% given that 43 identify themselves as smokers. Clearly state the null and alternative hypotheses

In this case we need to test whether the proportion of smokers is different from 20%.

A one-proportion z-test can be used to determine the conclusion for this test.

The hypothesis defined as:

H₀: The proportion of smokers is 20%, i.e. p = 0.20.

Hₐ: The proportion of smokers is different from 20%, i.e. p ≠ 0.20.

The information provided is:

n = 315

X = number of people who identified themselves as smokers = 43

Compute the sample proportion of smokers as follows:

$\hat p=\frac{X}{n}=\frac{43}{315}=0.137$

Compute the test statistic as follows:

$z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.137-0.20}{\sqrt{\frac{0.20(1-0.20)}{315}}}=-2.80$

The test statistic is -2.80.

Compute the p-value as follows:

$p-value=2\times P(Z$

*Use a z-table.

The p-value is 0.00512.

The p-value is quite small. So, the null hypothesis will be rejected at any significance level.

Thus, it can be concluded that the proportion of smokers is different from 20%.

6 0

3 years ago