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lara [203]
3 years ago
10

Solve for f(-2) = 3x2 - 4x + 1

Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Answer:

21

Step-by-step explanation:

Substitute the given value into the function and evaluate.

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Suppose a team of doctors wanted to study the effect of different types of exercise on reducing body fat percentage in adult men
Inessa05 [86]

Answer:

<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>

<em>F. The F statistic is 9.2242.</em>

Step-by-step explanation:

Given that

Observations                     Samples                             Total

40-49             10       11              9         9                        39

The degrees of freedom is given by

For numerator= k-1 = 4-1=3

For denominator= n-k= 39-4= 35

F statistic is given by

F= MS between/ MS within

=11.632991 / 1.261143 = 9.2242

Where

Mean Square Between = MS between = 11.632991

Mean Square Within = MS within = 1.261143

<u>Hence the correct choices are  A, C and F</u>

<em>A. The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

<em>C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.</em>

<em>F. The F statistic is 9.2242.</em>

<em></em>

Suppose we have

Mean Square Between = MS between = 18.632991

Mean Square Within = MS within = 1.261143

Then F statistic would be = 14.77468 > 9.2242

which tells that <em>The F statistic increases as the differences among the sample means for the exercise groups increase.</em>

3 0
4 years ago
7(8 + y) simplified?
Juli2301 [7.4K]

Factor out the equation

(7 x 8) + (7 x Y)

56 + 7y

3 0
3 years ago
The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°
Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1

If 36 adults are randomly​ selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{98.4 - 98.6}{0.1}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0
3 years ago
What is the rate of change in y with respect to x in the function x + 5y = 10?
rosijanka [135]

Answer:

-1/5

Step-by-step explanation:

let's put the function in slope intercept form (y = mx + b).

x + 5y = 10

y = - (1/5)x + 2

when the function is in slope intercept form, (m) is the rate of change or the slope.

therefore, the rate of change -1/5

7 0
2 years ago
2x-3 = 4(x-1) -1 -2x is this equation conditional , contradiction, or identity
JulsSmile [24]

Answer:

identity

Step-by-step explanation:

3 0
3 years ago
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