if twenty percent of the students play in the band and the band has forty members, how many students are there?

NeTakaya

((5x5)/2)x2=50 square ft
(8x5)x2= 80 square ft
8x7= 56 square ft
50+80+56=186 square ft
D) 186 square ft

4 0

3 years ago

a suit cost $95 Barry has a discount coupon for 10% off and the city has a 4.5 percent sales tax what is the final cost of the s

SIZIF [17.4K]

SO the suit cost $95 and it has a discount of 10%
so 95*10/100=9.5
so 10% of 95 is 9.5
subtract 9.5 from 95 and that equals 85.5
then you have to add 4.5 percent sales tax
so 85.5+ 4.5%= 89.347
So the final cost would be $89.34

3 0

3 years ago

Hypothesis Testing for Means with Small Samples

Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

$t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}$

$t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74$

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

$t_{n-1;\alpha /2}= t_{23;0.025}= -2.069$

$t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069$

The decision rule is:

If $t_{H_0}$ ≤ -2.069 or if $t_{H_0}$ ≥ 2.069, then you reject the null hypothesis.

If -2.069 < $t_{H_0}$ < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0

3 years ago

Find a formula for the polynomial

andrew11 [14]

Answer:But

Step-by-step explanation:

8 0

3 years ago

Find the equation of the line with slope m=1/2 that contains the point (4,6)

vazorg [7]

Answer:

y = 1/2x + 4

Step-by-step explanation:

Use the formula for the equation of a line.

y = mx + b

Where m is the slope, and b is the y-intercept.

The slope is given.

y = 1/2x + b

The points (x, y) are given.

(4, 6)

Put y as 6 and x as 4, solve for b.

6 = 1/2(4) + b

6 = 2 + b

6 - 2 = b

4 = b

The y-intercept is 4 or (0, 4).

The equation of the line is y = 1/2x + 4.

4 0

3 years ago