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fomenos
3 years ago
11

Can you guys please help me. i don’t need the explanation i just need the answer

Mathematics
2 answers:
Fittoniya [83]3 years ago
5 0

Answer:

36

Step-by-step explanation:

AOB + BOC = AOC

AOC = 90 since  the lines are perpendicular

6x-12 + 3x+30 = 90

Combine like terms

9x + 18 = 90

Subtract 18 from each side

9x+18-18 = 90-18

9x = 72

divide by 9

9x/9 = 72/9

x = 8

AOB = 6x - 12

         = 6*8 - 12

          = 48 -12

        = 36

Archy [21]3 years ago
4 0

Answer:

AOB = 36

Step-by-step explanation:

OA is perpendicular to OC

AOB + BOC = 90 ------------equation

where:

AOB = 6x - 12

BOC = 3x + 30

plugin values into the eq.

6x - 12 + 3x + 30 = 90

6x + 3x + 30 - 12 = 90

9x + 18 = 90

9x = 90 - 18

9x = 72

x = 72/9

x = 8

plugin values to <u>AOB = 6x - 12</u>

AOB = 6x - 12

AOB = 6(8) - 12

AOB = 36

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Carey earns c hourly
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So, 6=1+c/2
      12=2+c
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Carey earns $10 hourly
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3 years ago
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The statement “a &gt; 2 and a &lt; 5” is true when a is equal to
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Answer:

B

Step-by-step explanation:

because > means greater than or more than

and < means less than

the answer is B because 3 is more than 2 and the same time less than 5

5 0
3 years ago
6x+ 6x=<br> I need the answer pleasee
kipiarov [429]

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3 years ago
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A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the
Orlov [11]

Answer:

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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}}

In this question:

p = 0.05, n = 212, \mu = 0.05, s = \sqrt{\frac{0.05*0.95}{212}} = 0.015

What is the probability that the sample proportion will differ from the population proportion by less than 0.03?

This is the pvalue of Z when X = 0.03 + 0.05 = 0.08 subtracted by the pvalue of Z when X = 0.05 - 0.03 = 0.02. So

X = 0.08

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

By the Central Limit Theorem

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

Z = \frac{0.08 - 0.05}{0.015}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 0.02

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

Z = \frac{0.02 - 0.05}{0.015}

Z = -2

Z = -2 has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

6 0
3 years ago
I need to know the steps
vaieri [72.5K]

YES. She is correct.

\dfrac{x}{16}=4\qquad\text{multiply both sides by 4}\\\\\not\!4^1\cdot\dfrac{x}{16\!\!\!\!\!\diagup_4}=4\cdot4\\\\\dfrac{x}{4}=16

Equations are equivalent

Their solutions:

\dfrac{x}{16}=4\qquad\text{multiply both sides by 16}\\\\x=4\cdot16\\\\\boxed{x=64}\\----------\\\\\dfrac{x}{4}=16\qquad\text{multiply both sides by 4}\\\\x=16\cdot4\\\\\boxed{x=64}


3 0
3 years ago
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