FIND THE MEASURE OF EACH MISSING ANGLE HURRY DUE AT 10

Sam's van travels 208.8 miles on 9 gallons of gasoline. Hasan's small car travels 234.4 miles on 8 gallons of gasoline. What is

poizon [28]

Answer:

The difference between the vehicles is 0,009 gallons per mile.

Step-by-step explanation:

To know the difference between the vehicles in gallons per mile we need to obtain this information for each car:

-Sam´s van

Gallons per mile: 9 gallons/208.8 miles

Gallons per mile: 0.0431

-Hasan´s small car:

Gallons per mile: 8 gallons/234.4 miles

Gallons per mile: 0.0341

The difference between the vehicles is:

0.0431-0.0341= 0,009 gallons per mile

5 1

3 years ago

Read 2 more answers

Solve the equation.<br> 8 -(x + 5) = 5x - 3

Mandarinka [93]

Answer:

x = 1

Step-by-step explanation:

8 -(x+5) = 5x - 3

-(x+5) ---> -1 (x +5) = -x - 5

8 - x - 5 = 5x -3 8 - 5 = 3

-x + 3 = 5x - 3

+x +x

3 = 6x - 3

+3 +3

6 = 6x

/6 /6

8 0

3 years ago

it is known that the population proton of utha residnet that are members of the church of jesus christ 0l6 suppose a random samp

Lady_Fox [76]

Answer:

0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.

Step-by-step explanation:

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

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Proportion of 0.6

This means that $p = 0.6$

Sample of 46

This means that $n = 46$

Mean and standard deviation:

$\mu = p = 0.6$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.6*0.4}{46}} = 0.0722$

Probability of obtaining a sample proportion less than 0.5.

p-value of Z when X = 0.5. So

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

By the Central Limit Theorem

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

$Z = \frac{0.5 - 0.6}{0.0722}$

$Z = -1.38$

$Z = -1.38$ has a p-value of 0.0838

0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.

8 0

3 years ago

PLEASE HELP ME!!! WILL MARK BRAINLIEST!!!

Zolol [24]

(9/18)(9/18) = 81/324. The probability that Amy takes out pink chips in both draws is 81/324.

In this example we will use the probability property P(A∩B), which means given two independent events A and B, their joint probability P(A∩B) can be expressed as the product of the individual probabilities P(A∩B) = P(A)P(B).

The total number of chips of different colors in Amy's bag is:

8 blue chips + 9 pink chips + 1 white chip = 18 color chips

Amy takes out a chip from the bag randomly without looking, she replaces the chip and then takes out another chip from the bag.

So, the probability that Amy takes out a pink chip in the first draw is:

P(A) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

Then, Amy replaces the chip an takes out another which means there are again 18 color chips divide into 8 blue chips, 9 pink chips, and 1 white chip. So, the probability of takes out a pink chip in the second draw is:

P(B) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

What is the probability that Amy takes out a pink chip in both draws?

P(A∩B) = P(A)P(B)

P(A∩B) = (9/18)(9/18) = 81/324

4 0

3 years ago

Marla did 65 sit-ups each day for one week. Write an expression using the Distributive Property to find the total number of sit-

n200080 [17]

65*7=(1+1+1+1+1+1+1)=65+65+65+65+65+65+65=455 she did 65 sit ups every day for one week the expression is right there the answer to solve it is 455. :)

3 0

3 years ago