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PilotLPTM [1.2K]
3 years ago
6

Find the value of a squared + b when a= -2 and b=5

Mathematics
1 answer:
ollegr [7]3 years ago
6 0

Answer:

9

Step-by-step explanation:

a²+b where a= -2, b=5

(-2)²+(5)

=4+5

=9

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You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a
svetoff [14.1K]

Answer:

n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

ME = 50 margin of error desired

\sigma = 1000 the standard deviation for this case

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is \alpha=0.01. And for this case would be z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663

So the answer for this case would be n=2663 rounded up to the nearest integer

5 0
3 years ago
What is the value of x and the length of segment DE?
aniked [119]

Answer:

x = 6.6; DE = 16.6  

Step-by-step explanation:

Assume the diagram is like the figure below.

1. Calculate the value of x

In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.

Thus, ∆CDF ~ ∆FDE, and

\begin{array}{rcl}\dfrac{CD}{DF} &=& \dfrac{FD}{DE}\\\\\dfrac{5}{9} &=& \dfrac{9}{2x + 3}\\\\5(2x + 3) & = &81\\10x + 15 & = & 81\\10x & = & 66\\x & = & \mathbf{6.6}\\\end{array}

2. Calculate the length of DE

DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2

4 0
4 years ago
Ppppppppppppppppplzzzzzzzzzzzzzzzzzz help me
Tomtit [17]

Answer:

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Step-by-step explanation:

1:True

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7 0
4 years ago
45°<br> 9<br> X<br> Find the value of x. Write your answer in simplest form.
kap26 [50]

9514 1404 393

Answer:

  x = (9/2)√2 = 4.5√2

Step-by-step explanation:

We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:

  9 = x·√2

  9√2 = 2x . . . . multiply by √2

  (9/2)√2 = x . . . divide by 2

4 0
3 years ago
What is 0.70 equal to
Norma-Jean [14]
7 tenths, 7/10. or 70 percent.
4 0
4 years ago
Read 2 more answers
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