FIRST PERSON TO ANSWER WILL BE MARKED BRAINLEST

Leno4ka [110]

First make it improper fraction :
6/5 + 17/5
Then add 6 and 17 :
23
The denominator doesn’t change :
So the answers is 23/5

Then you need to simplify it
How much times 5 goes in 23 :
4 times and 3 extra
So the FINAL ANSWER is : 4 3/5

5 0

2 years ago

According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (ap- proximately seven gallons) of sa

sladkih [1.3K]

Answer:

a) 0.11%

b) 55.99%

c) 0.25%

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.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that $\mu = 54.3, \sigma = 14.5$

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

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

$Z = \frac{10 - 54.3}{14.5}$

$Z = -3.06$

$Z = -3.06$ has a pvalue of 0.0011

0.0011*100% = 0.11%.

2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?

The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

X = 60

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

$Z = \frac{60 - 54.3}{14.5}$

$Z = 0.39$

$Z = 0.39$ has a pvalue of 0.6517

X = 35

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

$Z = \frac{35 - 54.3}{14.5}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.6517 - 0.0918 = 0.5599

0.5599*100% = 55.99%

3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?

The proportion is 1 subtracted by the pvalue of Z when X = 95.

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

$Z = \frac{95 - 54.3}{14.5}$

$Z = 2.81$

$Z = 2.81$ has a pvalue of 0.9975

1 - 0.9975 = 0.0025

0.0025*100% = 0.25%

8 0

2 years ago

. Complete the missing steps in the paragraph proof of Theorem 3-8.

Crank

To solve for the missing steps, let's rewrite first the problem.

Given:

In a plane, line m is perpendicular to line t or m⟂t
line n is perpendicular to line t or n⟂t

Required:

Prove that line m and n are parallel lines

Solution:

We know that line t is the transversal of the lines m and n.

With reference to the figure above,

∠ 2 and ∠ 6 are right angles by definition of perpendicular lines. This states that if two lines are perpendicular with each other, they intersect at right angles.

So ∠ 2 ≅ ∠ 6. Since corresponding angles are congruent.

Therefore, line m and line n are parallel lines.

ANSWERS: perpendicular lines, corresponding

8 0

2 years ago

Abbey`s cat weighs 18 pounds. Her dog weighs 2 pounds more than half her cat`s weight. Write and evaluate an expression to show

KATRIN_1 [288]

18 divide by 2 = 9 + 2 = 11 pounds

4 0

2 years ago

Read 2 more answers

Part 1 of 2

gogolik [260]

Answer:

The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.