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2 years ago

Find the values of x and y.

Mathematics

1 answer:

tia_tia [17]2 years ago

4 0

Answer:

x= 45

y= 60

Step-by-step explanation:

For x:

The angles we have are 45 and 90

180°- 45 - 90 = 45

x= 45

For y:

The angles are 30 and 90

180°- 30 - 90 = 60

y= 60

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4x - 3y = 12 without graph

Maru [420]

Answer:

Make it an y=mx+b equation. -3y=-4x+12

Divide everything by -3

Answer is y=4/3x-4

Step-by-step explanation:

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3 years ago

Which function do you evaluate first in g(f(x))? f(x) g(x) f(g(x))

Mazyrski [523]

For the composite function g(f(x)), the function f(x) goes first in terms of evaluation. This is the inner most function. You would read it from right to left in terms of determining the order of evaluation.

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3 years ago

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A circle has a diameter of 16 inches. What is the circumference of the circle using function on the calculator?

Kobotan [32]

Answer: 50.26548 (50.27)

Step-by-step explanation:

Circumference = 2 x π x r(radius)

Diameter = 2 x r(radius)

C = π x 16 = 50.26548

3 0

3 years ago

Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax

Marianna [84]

Answer:

B 10% off sale, with a total price to pay of 756

Step-by-step explanation:

Retail price (Rp) = $800

Taxes (T) = 5%

Offer A $75 instant rebate

Total price A (TA) = Rp - 75 + (Rp - 75) 5%

TA = 800 - 75 + (800-75) 5%

TA = 725 + 725 5%

725 5% = 725*5/100 = 36.25

TA= 725+36.25 = $761.25

Offer B 10% off sale

Total price B (TB) = RP - RP 10% + (RP - RP 10%) 5%

TB = 800 - 800 10% + (800 - 800 10%) 5%

800 10% = 800*10/100 = 80

TB = 800 - 80 + (800 - 80) 5%

TB = 720 + 720 5%

720 5% = 720*5/100 = 36

TB = 720 + 36 = $756

Offer C 5% off sale plus store pays sales tax

store pays sales tax means Walden's family will not need pay for taxes

Total price C (TC) = RP - RP 5%

TC = 800 - 800 5%

800 5% = 800*5/100 = 40

TC = 800 - 40 = $760

Offer D a “no tax” sale—the store pays the tax

Means that Walden's family will need pay just the retail price

TD = $800

The beast deal is from the store B

7 0

3 years ago

Read 2 more answers

Suppose that the population of the scores of all high school seniors who took the SAT Math (SAT-M) test this year follows a Norm

Vlad1618 [11]

Answer:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

The distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar x =512$ represent the sample mean

$\sigma=100$ represent the population standard deviation

n= 100 sample size selected.

The confidence interval is given by this formula:

$\bar X \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$ (1)

The marginof error for this case is given by Me=25.76. And we know that the formula for the margin of error is given by:

$Me=z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

$25.76=z_{\alpha/2} \frac{100}{\sqrt{100}}$

And we can find the critical value $z_{\alpha/2}$ like this:

$z_{\alpha/2}=\frac{25.76(\sqrt{100})}{100}=2.576$

And we know that on the right tail of the z score =2.576 we have $\alpha/2$ of the total area. We can find the area on the right of the z score using this excel code:

"=1-NORM.DIST(2.576,0,1,TRUE)" or using a table of the normal standard distribution, and we got 0.004998= $\alpha/2$ , so then $\alpha=0.00498*2=0.009995 \approx 0.01$ , and then we can find the confidence like this:

Confidence = $1-\alpha=1-0.01=0.99$

And then the confidence level would be given by 99%

8 0

3 years ago