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igomit [66]
3 years ago
8

Eleven rectangular 9-inch by 12-inch pictures hang on a wall. How many square inches of the wall's surface area are covered by t

he pictures?
Mathematics
2 answers:
yaroslaw [1]3 years ago
6 0

Answer:

there will be about 108 inches

Llana [10]3 years ago
3 0

Answer:

1188

Step-by-step explanation:

We multiply all three numbers together. There are two quick ways of doing this; both are shown below:$$11\cdot 9 \cdot 12 = (10 + 1)\cdot 108 = 1080 + 108 = \boxed{1188}$$$$11\cdot 9 \cdot 12 = 99\cdot 12 = (100 - 1)\cdot 12 = 1200 - 12 = \boxed{1188}$$

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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
3t>5t+12 please help me? i suck at math
Alex777 [14]
<span>3t>5t+12
Subtract 5t from both sides to get the variable on only one side.
-2t>12
Divide both sides by -2
Final Answer: t< -6</span>
3 0
3 years ago
Amber is solving this problem.
Serhud [2]

Correct choice is 1,260 and 151,200

The product of 252 and 605 is 152,460

In the choice we have to choose from, one or more numbers have to add up to give a total of 152,460.

The choice is actually 1,260 and 151,200 which gives a total of <u>152</u><u>,</u><u>460</u><u>.</u>

8 0
2 years ago
Read 2 more answers
Solve for x. Write the smaller solution first, and the larger solution second.
xeze [42]

Answer:

x= 1 or x=7

Step-by-step explanation:

2 x 2− 16 x + 14 =0

2 (x−1) (x−7)=0

x−1=0  or   x−7=0

x=1  or  x=7

4 0
3 years ago
Read 2 more answers
If x / 2y = 0.4 , A / 5B = 0.25 Then A + y / 5 =….... ​
shusha [124]

Answer:

\frac{x}{2y}  =  \frac{4}{10}  \\ 8y = 10x \\ y =  \frac{10x}{8} -  -  -  -  - 1  \\  \\  \frac{a}{5b}  =  \frac{25}{100}  \\  \frac{a}{5b}  =  \frac{1}{4}  \\ 4a = 5b \\ a =  \frac{5b}{4}  -  -  - 2 \\  \\ so \:  \:  \frac{a + y}{5}  \\  = (a + y) \times  \frac{1}{5}  \\  = ( \frac{5b}{4}  +  \frac{5x}{4} ) \times  \frac{1}{5}  \\  =  \frac{5b + 5x}{4}  \times  \frac{1}{5}  \\  =  \frac{5(b + x)}{4}  \times  \frac{1}{5}  \\  =  \frac{b + x}{4}  \\  \\ so \:  \:  \:  \frac{a + y}{5}  =  \frac{b + x}{4}

6 0
2 years ago
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