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Elena-2011 [213]
3 years ago
12

Someone please help me out

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

Step-by-step explanation:

\sqrt{-100} =\sqrt{100*-1} =\sqrt{100 i^2} =5i=0+10 i

correction write 10 i in place of 5i

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Amy has 5 yards of border to put around a garden. She uses all the border to make four sections that are the same length. Which
zheka24 [161]

Answer:

where are the expressions

Step-by-step explanation:

8 0
2 years ago
If 4f(x)+f(5-x)=x2<br><br> What is f(x)?
aksik [14]
We are given that 4f(x)+f(5-x)=x^2.

Substitute x with 5-x, then the above equation becomes:

4f(5-x)+f(5-(5-x))=(5-x)^2, that is

4f(5-x)+f(x)=(5-x)^2


So, we have the following system of equations:

i) 4f(x)+f(5-x)=x^2
ii) 4f(5-x)+f(x)=(5-x)^2

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) -16f(x)-4f(5-x)=-4x^2
ii) 4f(5-x)+f(x)=(5-x)^2

adding the 2 equations side by side we have:

-15f(x)=-4x^2+(5-x)^2

expanding the binomial, and collecting same terms we have:

-15f(x)=-4x^2+(25-10x+x^2)

-15f(x)=-3x^2-10x+25

dividing by -5:

3f(x)=\frac{3}{5}x^2+2x-5

dividing by 3:

\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}


Answer: \displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}

6 0
3 years ago
A recent survey has shown that 68% of professional photos are of humans, 39% are of pets, and 17% are of both humans and pets. S
tiny-mole [99]

I think the answer 0.17 I'm sorry I may be wronh

7 0
3 years ago
Read 2 more answers
A survey of 2306 adult Americans aged 18 and older conducted by Harris Interactive found that 417 have donated blood in the past
disa [49]

Answer:

a) p = 0.1808

b) Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval  for p is satisfied.

c) The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

Step-by-step explanation:

Given that:

n = 2306 and x =417

a)  Obtain a point estimate for the population proportion (p) is the ratio of sample successes to sample size.

Therefore: p = x / n = 417 / 2306 = 0.1808

p = 0.1808

b) requirements for constructing a confidence interval  for p is given by:

np(1-p) ≥ 10

Therefore: np(1-p) = 2306(0.1808)(1 - 0.1808) = 341.54 ≥ 10

Since 341.54 ≥ 10. Therefore the requirements for constructing a confidence interval  for p is satisfied.

c) c = 90% = 0.9

α = 1 - 0.9 = 0.1

α / 2 = 0.1 /2 = 0.05

From the probability table, z_{\frac{\alpha}{2} } = 1.645

Margin of error (e) = z_{\frac{\alpha}{2} } \sqrt{\frac{p(1-p)}{n} } =1.645* \sqrt{\frac{0.1808(1-0.1808)}{2306} }=0.0132

The boundaries are (p - e, p + e) = (0.1808 - 0.0132, 0.1808 + 0.0132) = (0.1676, 0.194)

The interval is (0.1676, 0.194)

d) We are 90% confident that the population proportion of adult Americans who have donated blood in the past two years is between 0.1676 and 0.194

6 0
3 years ago
Read 2 more answers
What is 7*-8? my calculator wont work because I cant do problems with negative # on it.
Jet001 [13]
7 x -8 = -56
Hope this helps! :-)
3 0
3 years ago
Read 2 more answers
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