PLSSS HELPPPPP MEEEE III WILLL GIVVVEEE BRAINLIESTTTT!!!!!!
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Answer 1
Answer: They are equal, 8 x 7 = 56 and 7 x 7 = 49

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Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5. What is her temperature? Round your answer to the nearest hundredth.

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Answer:

97.27^(o)F

Step-by-step explanation:

We have been given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5.

To find Sally's temperature we will use z-score formula.

z=(x-\mu)/(\sigma), where \mu = Mean, \sigma= Standard deviation.

Let us substitute our given values in z-score formula.

-1.5=(x-98.20)/(0.62)

Multiply 0.62 to both sides of equation.

0.62*-1.5=0.62* (x-98.20)/(0.62)

-0.93=x-98.20

Add 98.20 to both sides of equation.

-0.93+98.20=x-98.20+98.20

97.27=x

Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.

Z=\frac{X-\mu}\sigma\iff-1.5=(X-98.20^\circ)/(0.62^\circ)\implies X\approx97.27^\circ

4s-12= 5s+51 what is the solution

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Given data:

The given expression is 4s-12=5s+51.

The given expression can be written as,

4s-12=5s+51

4s-5s=51+12

-s=63

s=-63

Thus, the value of s is -63.

An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are _____.

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Answer:

Step-by-step explanation:

Given that an ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations.

Hence total observations are 30*4 =120

No of groups = 3

Hence numerator df = 3-1 =2

Now total degrees of freedom = 120-1 =119

So denominator degrees of freedom = 119-2 = 117

Thus F statistic will have numerator as 2 degrees of freedom and denominator as 117 degrees of freedom.

Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? (Enter your answers from smallest to largest. Enter NONE in any unused answer blanks.) f(x) = x + 3 x2 − 2x − 15

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Answer:

  -3 (removable), +5

Step-by-step explanation:

Maybe you have ...

  f(x)=(x+3)/(x^2-2x-15)=(x+3)/((x+3)(x-5))=(1)/(x-5)\quad x\ne-3

This will have discontinuities (points where the function is undefined) at ...

  • x = -3
  • x = 5

The discontinuity as x = -3 is removable by defining f(-3) = -1/8.

Final answer:

The function f(x) = x + 3x² - 2x - 15 is continuous for all x-values.

Explanation:

In order to find the x-values at which the function f(x) = x + 3x² - 2x - 15 is not continuous, we need to look for points where the function has discontinuities. A function can have three types of discontinuities: removable discontinuities, jump discontinuities, and infinite discontinuities.

To find the x-values at which f(x) is not continuous, we need to check for three conditions: 1) The function is defined for all real numbers, so there are no points where f is undefined. 2) The function does not have any jump or jump-like discontinuities, which occur when the left and right limits of a point are finite but not equal. 3) The function does not have any infinite discontinuities, which occur when the left and right limits of a point are infinite.

Therefore, the function f(x) = x + 3x² - 2x - 15 is continuous for all x-values. There are no discontinuities in this function.

Learn more about Continuous functions here:

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The sum of two numbers is -14, if one number is subtracted from the other, their difference is 2, find the numbers.

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Answer:uu

-10 and -12

Step-by-step explanation:

The diagram below shows a mass suspended on a string called a pendulum.What energy transformation occurs as the mass moves from point A to B?

A-kinetic energy is converted to potential energy

B-potential energy is converted to kinetic energy

C-chemical energy is converted to electrical energy

D-gravitational energy is converted to chemical energy

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Answer:

D-gravitational energy is converted to chemical energy

Step-by-step explanation:

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