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professor190 [17]
3 years ago
13

Whats 4(d+2)-2d=3(2+d)

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0

Simplify:

4(d + 2) - 2d = 3(2 + d)\\4d + 8 - 2d = 6 + 3d\\d + 8 - 2d = 6\\-d + 8 = 6\\-d = -2\\d = 2

d is equal to 2.

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PLEASE HELP! <br><br>Record the lengths of the sides of ΔABC and ΔADE.<br><br>I would appreciate it.
natta225 [31]

AB: 20

BC: 12

AC: 16

AD: 10

DE: 6

AE: 8

8 0
3 years ago
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true
zloy xaker [14]

Answer:

The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

 \sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

As the sample size is large, i.e. <em>n</em> = 492 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the normal distribution.

The mean and standard deviation of the sampling distribution of sample proportion are:

\mu_{\hat p}=p=0.07\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.07(1-0.07)}{492}}=0.012

Compute the probability that the sample proportion will differ from the population proportion by greater than 0.03 as follows:

P(|\hat p-p|>0.03)=P(|\frac{\hat p-p}{\sigma_{\hat p}}|>\frac{0.03}{0.012})

                           =P(|Z|>2.61)\\\\=1-P(|Z|\leq 2.61)\\\\=1-P(-2.61\leq Z\leq 2.61)\\\\=1-[P(Z\leq 2.61)-P(Z\leq -2.61)]\\\\=1-0.9955+0.0045\\\\=0.0090

Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

5 0
3 years ago
Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?
musickatia [10]

What change has been caused?

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  • y=2(x-15+4)²+3
  • y=2(x-11)²+3

Change in x (+4)

Means

  • translation is 4units left

Option A

8 0
2 years ago
Read 2 more answers
1.
Paul [167]

Answer: D. 3/2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What are the first two answers? #16 and #17
Luden [163]
Answer to number 16 is 27 and 17 is 2
5 0
3 years ago
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