Find the slope of the line that passes through (8, 7) and (1, 6).

The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m

SSSSS [86.1K]

Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

x'=64.5

Sx=2.5

y'=68.5

Sy=2.7

General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

$b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54$

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

$a=y'-b*x'\\a=68.5-0.54*64.5\\a=33.67$

The equation regression line then is:

Y'=33.67+0.54*X'

4 0

3 years ago

Taletha is preparing for an exam in Algebra II. She knows she will be expected to determine if two functions are inverses of eac

seropon [69]

Answer:

f ○ g(x) = x and g ○ f(x) = x is the correct composition

Step-by-step explanation:

INVERSE FUNCTIONS: Two functions are said to be inverse of each other if for every y = f(x), there exists a function g(x),

such that x = $f^{-1} (y)$ = g(y)

Now, here if we need to show tha two functions f(x) and g(x) are inverse functions of each other , then show that for every x:

1. f o g(x) = f(g(x))= x

2. g o f(x) = g(f(x)) = x

If any two functions satisfy these two conditions, then they are inverse of each other.

5 0

4 years ago

Systems of the Body Constructed Response

fiasKO [112]

Answer:

note: there may be other possible explanations and more body systems can be involved and I can go into much greater detail

1: Nervous system signals your muscles in mouth to abduct and adduct as well as your salivary glands to produce saliva to break down the food, as well as prepare the stomach to digest the food

2: Muscular system moves muscles in mouth to break food down into smaller pieces so there is greater surface area for digestive enzymes to work on the food, then muscles in oesophagus move food to stomach, where stomach muscles churn the broken down food around to speed up digestion

3: Digestive system releases numerous digestive enzymes into the food to break down lipids, carbohydrates and proteins. Small intestines absorb nutrients into bloodstream, and large intestine absorbs water.

4: Excretory system removes excess mostly dry waste through the anus as well as urine from ureter.

6 0

3 years ago

12-(3-9) 3*3 help please

Verdich [7]

Step-by-step explanation:

42 is your answer according to bodmas

8 0

3 years ago

Assume that the population of human body temperatures has a mean of 98.6 degrees F and a standard deviation of 0.62 degrees F. I

dimulka [17.4K]

Answer:

0% probability of getting a mean temperature of 98.2 degrees F or lower.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

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.

In this problem, we have that:

$\mu = 98.6, \sigma = 0.62, n = 106, s = \frac{0.62}{\sqrt{106}} = 0.06$