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2 years ago

Help me with this question

Mathematics

1 answer:

nikklg [1K]2 years ago

6 0

Answer:

314

Step-by-step explanation:

the formula to get the area of a circle is $\pi r^{2}$

pi=3.14 and r=10

do you get 3.14 x $10^{2}$

3.14 x 100

314

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A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator.

GenaCL600 [577]

Answer:

1. The probability that x will be more than 25 is 0.6305.

2. The 55th percentile is 26.38.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 26 and standard deviation 3.

This means that $\mu = 26, \sigma = 3$

1 Find the probability that x will be more than 25.

This is 1 subtracted by the p-value of Z when X = 25. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{25 - 26}{3}$

$Z = -0.333$

$Z = -0.333$ has a p-value of 0.3695.

1 - 0.3695 = 0.6305.

The probability that x will be more than 25 is 0.6305.

2 Find the 55th percentile of x.

This is X when Z has a p-value of 0.55, so X when Z = 0.125.

$Z = \frac{X - \mu}{\sigma}$

$0.125 = \frac{X - 26}{3}$

$X - 26 = 0.125*3$

$Z = 26.38$

The 55th percentile is 26.38.

7 0

2 years ago

If y varies directly with x, and y= 10 when x = 4, find y when x = 10.

mixer [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

(CO6) From a random sample of 68 businesses, it is found that the mean time that employees spend on personal issues each week is

satela [25.4K]

Answer:

(1) (4.82, 4.98)

(2) Large sample size

(3) Yes, the temperature is within the confidence interval of (37.40, 37.60)

(4) (15.083, 15.117)

Step-by-step explanation:

Confidence Interval (CI) = mean + or - (t×sd)/√n

(1) mean = 4.9, sd = 0.35, n = 68, degree of freedom = n-1 = 68 - 1 = 67

t-value corresponding to 67 degrees of freedom and 95% confidence level is 1.9958

CI = 4.9 + (1.9958×0.35)/√68 = 4.98

CI = 4.9 - (1.9958×0.35)/√68 = 4.82

CI is (4.82, 4.98)

(2) Error margin = (t-value × standard deviation)/√sample size

From the formula above, error margin varies inversely as the square root of the sample size. Since the relationship between the error margin and sample size is inverse, increase in one (sample size) will conversely lead to a decrease in the other (error margin)

(3) mean = 37.5, sd = 0.6, n= 100, degree of freedom = n-1 = 100-1 = 99

t-value corresponding to 99 degrees of freedom and 90% confidence level is 1.6602

CI = 37.5 + (1.6602×0.6)/√100 = 37.5 + 0.10 = 37.60

CI = 37.5 - (1.6602×0.6)/√100 = 37.5 - 0.10 = 37.40

37.53 is within the confidence interval (37.40, 37.60)

(4) mean = 15.10, sd =0.08, n = 104, degree of freedom = n-1 = 104-1 = 103

t-value corresponding to 103 degrees of freedom and 97% confidence interval is 2.2006

CI = 15.10 + (2.2006×0.08)/√104 = 15.10 + 0.017 = 15.117

CI = 15.10 - (2.2006×0.08)/√104 = 15.10 - 0.017 = 15.083

CI is (15.083, 15.117)

4 0

3 years ago

4. What is the solution of the system of equations?<br> y=-2x+5<br> y=-2x+20

Norma-Jean [14]

The system of equation, y = -2x + 5 and y = -2x + 20, have no solution.

<h3>How to Find the Solution of a System of Equations?</h3>

The solution to a system of equations is the ordered pair of x and y that makes both equations true.

Given the system of equations,

y = -2x + 5 --> equation 1

y = -2x + 20 --> equation 2

Subtract to eliminate variable "y"

0 = 0 + 25

0 = 25 [this is not true]

Therefore, no solution exist for the system of equations.

Thus, we can conclude that, the system of equation, y = -2x + 5 and y = -2x + 20, have no solution.

Learn more about system of equations on:

brainly.com/question/14323743

#SPJ1

3 0

2 years ago

What is 119 over 8 in its simplest form?

ivolga24 [154]

119/8 is already in simplest form. However, if you attempt to change it to a mixed number the correct answer would be 14 7/8 (7 over 8).

Hope I helped!

3 0

3 years ago