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schepotkina [342]
3 years ago
10

Solve for X X^2 + 43 = 572

Mathematics
2 answers:
nordsb [41]3 years ago
7 0

Answer:

23

Step-by-step explanation:

x^2 + 43 = 572

x^2 = 572 - 43

x^2 = 529

( 529 = 23 x 23 = 23^2 )

x^2 = 529

x^2 = 23^2

x = 23

7nadin3 [17]3 years ago
5 0
X^2+43=572
X^2=572-43
X^2=529
X=+23

Write the solutions, one with a sign and one with a sign
X=-23
X=23
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Answer:

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A partial factorization of x2-3x-10 is modeled with algebra tiles
Allushta [10]

X² - 3x - 10


x² = x * x

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1 x 10 ⇒⇒⇒ difference between factors = 9

2 x 5   ⇒⇒⇒ difference between factors = 3  ⇒ (The correct pair)


(x-5)(x+2) = x(x+2) - 5(x+2)

                = x² + 2x - 5x - 10

                = x² - 3x - 10



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5 0
3 years ago
Goofy's fast food center wishes to estimate the proportion of people in its city that will purchase its products. Suppose the tr
Westkost [7]

Answer:

The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.0143.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em>  ≥ 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}}

The sample selected consists of <em>n</em> = 254 individuals. The sample is quite large, i.e. <em>n</em> = 254 > 30. So the central limit theorem can be applied to approximate the distribution of sample proportion of  people in the city that will purchase the products of Goofy's fast food.

The mean is:

\mu_{\hat p}=p=0.05

And the standard deviation is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.05(1-0.05)}{254}}=0.0137

Now, we need to compute the probability that the sample proportion will differ from the population proportion by greater than 0.03.

That is:

\hat p-p>0.03\\\hat p -0.05>0.03\\\hat p>0.08

Compute the value of P(\hat p>0.08) as follows:

P(\hat p>0.08)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.08-0.05}{0.0137})

                   =P(Z>2.19)\\=1-P(Z

*Use a <em>z</em>-tale for the probability.

Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.0143.

8 0
2 years ago
To make 1 batch of sky blue paint, Clare mixes 2 cups of blue paint with 1 gallon of white paint.
katrin [286]
Claire can mix 4 cups of blue paint with 2 gallons of white paint.
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(Less than?) 2 cups of blue paint with 1 gallon of with white paint or use more white paint with Claire recipe. Sorry I was a bit confused with a bit but this should be right
3 0
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