A skateboard ramp forms at 42 degrees angle as shown find the x value

A television regularly costs $180, but it is on sale for 40% off. There is a 5% sales tax on the sale price. How much does the t

Anuta_ua [19.1K]

Answer:

$113.4

Step-by-step explanation:

If it is 40% off then it is 100-40 = 60% of original price.

So we do 180$ * .6 = $108 before tax.

To add on tax we do: 100 + 5 = 105% of that price.

So we do: $108 * 1.05 = $113.4 after discount and tax.

7 0

3 years ago

At one point in a Girl Scout cookie sales drive, region C had sold 1500 boxes of cookies, and region D had sold 1200 boxes of co

juin [17]

Answer:

a)After 6 days region D will catch region C

b) Region C will sell 13500 cookies and region D will sell 13600 cookies

Step-by-step explanation:

a) Cookies sold by region C more than region D= 1500-1200=300

But region D can sells 50 cookies every day i-e

50 cookies = 1 day

==> 1 cookie= 1÷50

==> 300cookies = 300÷50=6 days

So, after 6 days region D will catch up region C's

b) If sale stopped after 8 days;

Then sale of region C for 8 days = 1500×8=12000 cookies

so , total cookies sold = 1500 +12000=13500

For region D;

Before catching up region C cookies sold by region D = 1200

Till catching up region C - region D had also sold 1500 cookies,

and for 50 extra cookies than region C

next 8 days region D will sale =(1500+50)×8=1550×8=12400 cookies

So, total number of cookies sold by region D = 1200+12400=13600

3 0

3 years ago

Write a point slope form of the line through point J(4,1) with slope -5

mrs_skeptik [129]

Y - y1 = m(x - x1)
slope(m) = -5
(4,1)...x1 = 4 and y1 = 1
now we sub
y - 1 = -5(x - 4) <===

4 0

3 years ago

Read 2 more answers

A population of values has a normal distribution with μ=204.9μ=204.9 and σ=81.9σ=81.9. You intend to draw a random sample of siz

marin [14]

Answer:

7. μ=204.9 and σ=5.4968

8. μ=75.9 and σ=0.7136

9. p=0.9452

Step-by-step explanation:

7. - Given that the population mean =204.9 and the standard deviation is 81.90 and the sample size n=222.

-The sample mean, $\mu_x$ is calculated as:

$\mu_x=\mu=204.9, \mu_x=sample \ mean$

-The standard deviation, $\sigma_x$ is calculated as:

$\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{81.9}{\sqrt{222}}\\\\=5.4968$

8. For a random variable X.

-Given a X's population mean is 75.9, standard deviation is 9.6 and a sample size of 181

-#The sample mean, $\mu_x$ is calculated as:

$\mu_x=\mu\\\\=75.9$

#The sample standard deviation is calculated as follows:

$\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{9.6}{\sqrt{181}}\\\\=0.7136$

9. Given the population mean, μ=135.7 and σ=88 and n=59

#We calculate the sample mean;

$\mu_x=\mu=135.7$

#Sample standard deviation:

$\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{88}{\sqrt{59}}\\\\=11.4566$

#The sample size, n=59 is at least 30, so we apply Central Limit Theorem:

$P(\bar X>117.4)=P(Z>\frac{117.4-\mu_{\bar x}}{\sigma_x})\\\\=P(Z>\frac{117.4-135.7}{11.4566})\\\\=P(Z>-1.5973)\\\\=1-0.05480 \\\\=0.9452$

Hence, the probability of a random sample's mean being greater than 117.4 is 0.9452

7 0

3 years ago

If the temperature at the North Pole is -12 degrees how many degrees would the temperature have to increase for it to be 0 degre

ch4aika [34]

12 degrees

Think of a number line -12 is 12 spaces away from 0.

6 0

3 years ago