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3 years ago

Correct answers only!

Mathematics

2 answers:

Elden [556K]3 years ago

4 0

Answer:

$5180.12

Step-by-step explanation:

B=4000(1+0.09)^3

julia-pushkina [17]3 years ago

4 0

Answer:

885.1

Step-by-step explanation:

p = 3000

r = 9/100 = 0.09

t = 3 years

B = 3000 * (1+ 0.09)^3

B = 3000 * (1.09)^3

1.09^3 = 1.09*1.09 * 1.09 = 1.295

B = 3000 * 1.295

B = 3885.10

So the interest is Balance - principle = 3885.1 - 3000 = 885.1

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Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 t

Yanka [14]

Answer:

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

Step-by-step explanation:

Data given and notation

n represent the random sample taken

X represent the number of scissors selected for each friend

$\hat p=\frac{X}{n}$ estimated proportion of scissors selected for each friend

$p_o=\frac{1}{3}=0.333$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion that the friend will pick scissors is less than 1/3 or 0.333, the system of hypothesis would be:

Null hypothesis: $p\geq 0.333$

Alternative hypothesis: $p < 0.333$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

6 0

4 years ago

Han, his sister, his dad, and his grandmother step onto a crowded bus with only 3 open seats for a 42-minute ride. They decide H

Deffense [45]

Answer:

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

6) x + 87 80° A) 10 C) 4. B) 3 D) -7

lesya692 [45]

Answer:

Step-by-step explanation:

x + 87 = 80

x = -7

87-7 = 80

5 0

3 years ago

Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:

agasfer [191]

Answer:12533

Step-by-step explanation:

4 0

3 years ago

Reorder the numbers and combine like terms to simplify. 4.5 + 2 1/2 + 6.0 - 5 1/2

DanielleElmas [232]

Answer: B

Step-by-step explanation:

4.5+6=10.5

2 1/2 - 5 1/2 = 2.5 - 5.5 = -3

10.5 - 3 = 7.5

6 0

3 years ago