MATHEMATICS COLLEGE

WILL GIVE MEDAL AND FAN! you invest $5,175.00 in a stock plan. it increases 9% the first year and then loses 5% of it's value the second year. what is your gain compared to your original investment?

Answers

Answer 1

Answer:

Answer:

$183.7125

Step-by-step explanation:

Given,

Original investment, A = $ 5,175.00

In first year,

Thetotal investment = $ 5,175.00

The amount is increased by 9 %,

Thus, the final amount at the end of first year,

$A_1=5,175(1+(9)/(100))^1$

$=5175(1+0.09)$

$=5175(1.09)$

$=\$ 5640.75$

In Second year,

The total investment = $ 5640.75,

The amount is decreased by 5 %,

Thus, the final amount at the end of second year,

$A_2=5640.75(1-(5)/(100))^1$

$=5640.75(1-0.05)$

$=5640.75(0.95)$

$=\$ 5358.7125$

Hence,

$\text{Total Gain}=A_2-A$

$=5358.7125-5175$

$=\$183.7125$

Answer 2

Answer: 5,175 + 9% = 5640.75

5640.75 - 5% = 5302.305

Original investment = 5,175
Gain = 5,302.305

Subtract them both and get = 127.305

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Suppose you wanted to estimate the difference between two population means correct to within 4.8 at the 92% confidence level. If prior information suggests that both population variances are approximately equal to 12 and you want to select independent random samples of equal size from the populations, how large should the sample sizes be?Critical Value: 1.75
The sample sizes should be: n1=___n2=_____?

Answers

Answer: $n_1=n_2=4$

Step-by-step explanation:

Given : Margin of error : E= 4.8

Confidence level : 92%

Significance level : $1-0.92=0.08$

$\sigma_1^2=\sigma_1^2\approx12$

Two-tailed critical value :-

$z_(\alpha/2)=z_(0.08/2)=z_(0.04)=1.75$

If we want to select independent random samples of equal size from the populations,

Formula for the sample size :

$n_1=n_2=((z_(\alpha/2))/(E))^2(\sigma_1^2+\sigma_2^2)$

Then buy using given values , we have

$n_1=n_2=((1.75)/(4.8))^2(12+12)$

Simplify ,

$n_1=n_2=((1.75)/(4.8))^2(12+12)=3.190\approx4$ [Round to the next integer.]

Hence, the The sample sizes should be: $n_1=n_2=4$

Find the measure of 7

Answers

Answer:

126 degree

Step-by-step explanation:

use alternate angles and linear pair

g In a test of a gender-selection technique, results consisted of 200 baby girls and 14 baby boys. Based on this result, what is the probability of a girl born to a couple using this technique? Does it appear that the technique is effective in increasing the likelihood that a baby will be a girl? The probability that a girl will be born using this technique is approximately nothing. (Type an integer or decimal rounded to three decimal places as needed.) Does the technique appear effective in improving the likelihood of having a girl baby? No Yes

Answers

Answer:

- The probability of a girl born to a couple using this technique = 0.935

- Yes, the technique does appear effective in improving the likelihood of having a girl baby.

Step-by-step explanation:

1) In a test of gender selection, there are 200 girls and 14 baby boys.

To obtain the probability of a girl born to a couple using this technique

P(girls) = n(girls) ÷ n(total)

n(girls) = 200

n(total) = 200 + 14 = 214

P(girls) = (200/214) = 0.9346 = 0.935

2) Does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?

We use an hypothesis test to confirm this. For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

Normally, the proportion of new girl babies and new boy babies should be close to each other (around 0.5 each), but this claim is that this gender selection technique favours the girl babies more than the male babies.

The null is that there is no significant evidence to conclude that the gender selection technique does favour more girl babies than boy babies.

The alternative hypothesis is that there is significant evidence to conclude that the gender selection technique does favour more girl babies than boy babies.

Mathematically,

The null hypothesis is represented as

H₀: p ≤ 0.50

The alternative hypothesis is given as

Hₐ: p > 0.50

To do this test, we will use the t-distribution because no information on the population standard deviation is known

So, we compute the t-test statistic

t = (x - μ)/σₓ

x = sample proportion = 0.935

μ = p₀ = The standard proportion we are comparing against = 0.50

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 214

p = 0.935

σₓ = √[0.935×0.065/214] = 0.0168521609 = 0.01685

t = (0.935 - 0.50) ÷ 0.01685

t = 25.81

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 214 - 1 = 213

Significance level = 0.05 (most tests are performed at this level)

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 25.81, at 0.05 significance level, df = 213, with a one tailed condition) = 0.000000001

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.000000001

0.000000001 < 0.05

Hence,

p-value < significance level

This means that we reject the null hypothesis & say that there is enough evidence to conclude that the gender selection technique does favour more girl babies than boy babies.

So, yes, the technique does appear effective in improving the likelihood of having a girl baby.

Hope this Helps!!!

Penny reads 13 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page? How many hours per page

Answers

Answer:

13 pages : 1/2 hour Multiply both sides by 2

26 pages : 1 hour ------>> 26 pages/hr

Flip over 26 pages/hr ----->>> hr / 26 pages = 1 hr / 26 pages

Split up the fraction: (1/26) hr / page

Answer:

Step-by-step explanation:

13 in 1/2 hour

13:1/2

26:1

According to the line plot what is the total number of the dog toys

Answers

Answer: 4 3/4

Step-by-step explanation:

3/8 +3/8 + 1/8 +1/2 +1/2 +1/2 +1/2 + 5/8 +5/8 +5/8=

3/8+3/8+1/8+2+5/8+5/8+5/8=

11/4 + 2=

2 · 4 /4 + 11/4=

2 · 4 + 11 / 4=

19/4 =

4 3/4

Evaluate k - m if k = 8, m = -7, and p = -10.

Answers

Answer:15

8-(-7)=8+ 7=15 BECAUSE -(-7) = +7

Step-by-step explanation:

BECAUSE -(-7) = +7 SO THE PROBLEM CHANGES TO 8+7=15

P=10 HAS NOTHING TO DO WITH THE FORMULA. K-M=?

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