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3 years ago

Prime factorization for 525 in expanded form

1 answer:

5 0

<span>The prime factorisation for 525 in expanded form could be calculated as follows: 5 into 525 = 105 5 into 105 = 21 21 = 3 x 7</span>

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Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why To

Mkey [24]

Answer:

a. The mean refractory period= 1.85 and the standard error = 0.06455

b. 90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment = 1.6981, 2.0019

c. Yes, the data give good evidence to support this theory

Step-by-step explanation:

a. The table below shows the calculations:

X (X-mean)^2

1.7 0.0225

1.8 0.0025

1.9 0.0025

2.0 0.0225

Total 7.4 0.05

Sample size: n=4

The mean is: \bar{x} = \frac{7.4}{4} = 1.85

The sample standard deviation, s = \sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=0.1291

The standard error, se= \frac{s}{\sqrt{n}}=\frac{0.1291}{2} = 0.06455

b. Degree of freedom: df = n-1 = 3

Critical value of t for 90% confidence interval is: 2.3534

The confidence interval is \bar{x}\pm t_{c}se = 1.85\pm 2.3534\cdot 0.06455=1.85\pm 0.1519 = (1.6981, 2.0019)

c. The Hypotheses are:

H_{0}:\mu=1.3,H_{1}:\mu>1.3

So the test statistics will be

t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=8.52

The p-value is: 0.0017

We reject the null hypothesis because p-value is less than 0.05 . This indicates that the data gave good evidence to support this theory.

4 0

3 years ago

Find the slope of the line graphed in the diagram and choose the correct answer from the choices below. The two intercepts are (

kolezko [41]

1.2 is the slope of the line graphed in the given diagram

<u>Step-by-step explanation:</u>

We can use the given points (0, 3) and (-2.5, 0) to solve.

Slope formula is given by

$\text { slope, } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Given two intercepts:

$\left(x_{1}, y_{1}\right)=(0,3) \text { and }\left(x_{2}, y_{2}\right)=(-2.5,0)$

By substituting these in the slope equation, we get

$\text { slope, } m=\frac{0-3}{-2.5-0}=\frac{-3}{-2.5}=\frac{3}{2.5}=1.2$

5 0

3 years ago

DO NOT OVERLOOK THIS!!!!!!!!

zmey [24]

<h2>Answer:</h2>

<u>Area</u> = 2(1/2 × 5 × 5) + 20 × 10

= 2 × 12.5 + 200

= 25 + 200

= 225ft².

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2 years ago

Electricity usage data consists of 45 months has a mean number of units consumed is 390.47 per month with a standard deviation o

neonofarm [45]

Answer:

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.0141

The margin of error is:

M = T*s = 2.0141*170.5 = 343.4

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month

The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

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2 years ago

Jessica bought two cans of peas three cans of tomato sauce five cans of corn and 12 rolls what is the total cost of her purchase

Paraphin [41]

She has 22 items in total

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3 years ago

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