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2 years ago

Please help!!

Mathematics

2 answers:

S_A_V [24]2 years ago

5 0

Answer:

Step-by-step explanation:

Ne4ueva [31]2 years ago

3 0

Answer:

9. $2x^{2} +5x+2$

21. $y=6x$

23. $-8$

Step-by-step explanation:

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A triangular pane of glass has a height of 34 inches and an area of 442 square inches. What is the length of the base of the pan

Katena32 [7]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.

son4ous [18]

Answer:

The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.01 = 0.99$ , so $z = 2.325$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.325*\frac{20.28}{\sqrt{20}} = 12.17$

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98% confidence interval for the mean purchases of all customers is ($37.40, $61.74).

3 0

3 years ago

17. New Schools expects an EBIT of $100,000 every year forever. The firm currently has no debt, and its cost of equity is 10 per

Natali5045456 [20]

Answer:

$880,000

Step-by-step explanation:

First note that the full meaning of EBIT is earning before interest and tax.

When the company does not have debt, it called unlevered (VU), while a company that has debt is called levered (VL) company. The VU and the VL of the company can be calculated using the VU and VL formula as follows:

Step 1. Calculation of VU

VU = [EBIT × (1 - tax rate)] ÷ cost of equity

= [$100,000 × (1 - 0.20)] ÷ 0.10

= [$100,000 × 0.80] ÷ 0.10

= $80,000 ÷ 0.10

= $800,000

Step 2. Calculation of VL

VL = VBC + (tax rate × conversion rate × VU)

= $800,000 + (0.20 × 0.5 × $800,000)

= $800,00 + $80,000

= $880,000

Therefore, the value of the firm will be $880,000 if it is converted to 50 percent debt.

3 0

3 years ago

In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll

maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_x\ p^x(q)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

$P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5$

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

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3 years ago

Compare and contrast perpendicular bisected and altitude

elena55 [62]

A perpendicular bisector forms two right angles and splits the line in two equal parts.

The altitude does create two right angles, but doesn't have to create two equal parts.

6 0

3 years ago