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svet-max [94.6K]
3 years ago
14

8. A square has side length 6 inches. A parallelogram has a base of 6 inches,

Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

Answer:

The height is 6 inches.

Step-by-step explanation:

Area of the square = length of a side squared.

This square has area 6^2 = 36 in^2.

Area of the parallelogram =  base * height

= 6h.

As the areas are equal:

6h = 36

h = 36/6 = 6 inches.

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down,drag into the correct p
boyakko [2]

Answer:

\boxed{\sf \ \ 9x^2-18x-7 \ \  divided \ by \ (3x+1) \ is \ (3x-7) \ }

Step-by-step explanation:

Hello,

let's find a and b reals so that

9x^2-18x-7=(3x+1)(ax+b)

(3x+1)(ax+b)=3ax^2+(3b+a)x+b

we identify the terms in x^2

   9 = 3a

we identify the terms in x

   -18 = 3b + a

we identify the constant terms

   -7 = b

so ti goes with a = 9/3 = 3, b = -7

so we can write

9x^2-18x-7=(3x+1)(3x-7)

so 9x^2-18x-7 \ divided \ by \ (3x+1) \ is \ (3x-7)

hope this helps

8 0
3 years ago
What is 346 rounded to the nearest hundred
exis [7]
300. When the number is 5 and up, then you round up to the next digit. For example, 350 would round up to 400. But seeing as it is 346, you round down. 
3 0
2 years ago
Read 2 more answers
A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the
hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

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}}

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that p = 0.08

Sample of 595:

This means that n = 595

Mean and standard deviation:

\mu = p = 0.08

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

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

By the Central Limit Theorem

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

Z = \frac{0.05 - 0.08}{0.0111}

Z = -2.7

Z = -2.7 has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

8 0
3 years ago
What is the slope of the line with points A and B?
Zanzabum

Answer:

you will have to get the graph :\

Step-by-step explanation:

sorry

4 0
3 years ago
The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that
dezoksy [38]

Answer:

Therefore,

Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.

Step-by-step explanation:

Given:

The wind speed near the center of a tornado is represented by the equation,

S=93\log d+65

Where,

d =  the distance, in miles

S = the wind speed, in miles per hour.

To Find:

S = ? at d = 4 miles

Solution:

We have

S=93\log d+65        .........Given

Substitute d = 4 in above equation we get,

S=93\log 4 + 65=93\times 0.602 +65=120.99

Rounding the answer to the nearest tenth we have

S=121.0\ mph

Therefore,

Wind speed of a Tornado when it travels 4 miles is 121.0 miles per hour.

4 0
3 years ago
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