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lorasvet [3.4K]
3 years ago
5

Evaluate (y+z)2 when y=−3 and z=15.

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0

Answer: 24

Step-by-step explanation:

<u>Evaluate (y+z)2 when y=−3 and z=15.</u>

(-3 + 15)*2 = 12 * 2 = 24

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What is x to the power of 2 minus x?
pickupchik [31]
If you are asking what x to the power of 2 minus x is as a mathematical expression, then your answer is:

= x^2 - x

If you are asking what another equivalent expression for x^2 - x is or if you want it in factorised form, then your answer is:

= x ( x - 1 )

Hope this was helpful! <3
6 0
3 years ago
A researcher is interested in estimating the mean blood alcohol content of people arrested for driving under the influence. Base
UNO [17]

Answer:

We need a sample size of at least 650

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem:

We need a sample of size at least n

n is found when M = 0.005, \sigma = 0.065

So

M = z*\frac{\sigma}{\sqrt{n}}

0.005 = 1.96*\frac{0.065}{\sqrt{n}}

0.005\sqrt{n} = 1.96*0.065

\sqrt{n} = \frac{1.96*0.065}{0.005}

(\sqrt{n})^{2} = (\frac{1.96*0.065}{0.005})^{2}

n = 649.23

Rounding up

We need a sample size of at least 650

7 0
3 years ago
Write the sum as the logarithm of a single expression. Assume that variables represent positive numbers.
igomit [66]

Answer:

  • 6z log 6

Step-by-step explanation:

<em>Use of property</em>

  • <em>log ab = log a + log b</em>
  • <em>log a^b = b log a</em>
<h3>Given</h3>
  • log 6^8 + log 6^z
<h3>Solution</h3>
  • log 6^8 + log 6^z =
  • log (6^8*6^z) =
  • log (6^6z) =
  • 6z log 6
3 0
3 years ago
Three of every 5 pizzas that miggys pizza sels are cheese pizza miggys slod 80 pizza today how many of them would you expect wer
True [87]
48 of the pizzas would be cheese because you divide 80 by 5 and get 16 then multiply that by 3 to get 48
7 0
4 years ago
ABC est un triangle rectangle en B.<br> On donne : AB = 7:BC = a et AC = a +5.<br> Calcule a
Afina-wow [57]

Answer:

Step-by-step explanation:

salut :

en utilisant le theorem de Pythagore on obtient :

AC²= AB² + BC²

(a+5)² = 7²+a²

a²+10a+25 = 49+a²

10a+25 =49

10a =24

donc : a = 24/10 = 12/5 = 2.4 unit

8 0
3 years ago
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