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cestrela7 [59]
3 years ago
6

Can anyone out there help me? This is due today!! WiIl give brainliest :D

Mathematics
2 answers:
Strike441 [17]3 years ago
6 0

Answer:

a

Step-by-step explanation:

because it the only right one according to my research

masha68 [24]3 years ago
4 0

Answer:

D.

Step-by-step explanation:

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The Atlanta Journal Constitution conducted a survey of 900 registered voters to determine which voting method they prefer. The A
photoshop1234 [79]

Answer:

a) (0.576, 0.624)

Step-by-step explanation:

Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%

α = 1 - C = 1 - 0.85 = 0.15

α/2 = 0.075

The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence z_\frac{\alpha }{2} =1.44

The margin of error (E) is:

E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024

The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)

7 0
3 years ago
Each flower in a bouquet has 5 petals. There are x flowers in the bouquet. Which expression shows the total number of petals in
shtirl [24]
A. 5x

In this expression x represents the number of flowers in the bouquet and there are five petals on each flower. Therefore the total number of petals in the bouquet is 5 multiplied by x.
5 0
4 years ago
Can you prove it??<br>it's hard,I tried but couldn't solve this.
BARSIC [14]

I'll abbreviate s=\sin\theta and c=\cos\theta, so the identity to prove is

\dfrac{s+c+1}{s+c-1}-\dfrac{1+s-c}{1-s+c}=2\left(1+\dfrac1s\right)

On the left side, we can simplify a bit:

\dfrac{s+c+1}{s+c-1}=\dfrac{s+c-1+2}{s+c-1}=1+\dfrac2{s+c-1}

\dfrac{1+s-c}{1-s+c}=-\dfrac{-2+1-s+c}{1-s+c}=-1+\dfrac2{1-s+c}

Then

\dfrac{s+c+1}{s+c-1}-\dfrac{1+s-c}{1-s+c}=2\left(1+\dfrac1{s+c-1}-\dfrac1{1-s+c}\right)

So the establish the original equality, we need to show that

\dfrac1{s+c-1}-\dfrac1{1-s+c}=\dfrac1s

Combine the fractions:

\dfrac{(1-s+c)-(s+c-1)}{(s+c-1)(1-s+c)}=\dfrac{2-2s}{c^2-s^2+2s-1}

We can rewrite the denominator as

c^2-s^2+2s-1=c^2+s^2-2s^2+2s-1

then using the fact that c^2+s^2=\cos^2\theta+\sin^2\theta=1, we get

1-2s^2+2s-1=2s-2s^2

so that we have

\dfrac1{s+c-1}-\dfrac1{1-s+c}=\dfrac{2-2s}{2s-2s^2}=\dfrac1s

as desired.

6 0
4 years ago
The population of retired citizens in Memphis is 54000. If the population decreases at a rate of 5.9 % each year. What will the
kobusy [5.1K]

We will have the following:

First, we construct the exponential decay function, that is:

P(x)=54000(1-0.059)^x\Rightarrow P(x)=54000(0.941)^x

Now, we will determine the population after 6 years:

P(6)=54000(0.941)^6\Rightarrow P(6)=37491.38638

So, the population after 6 years will be of approximately 37491 people-

5 0
1 year ago
Ezra enjoys gardening.
svlad2 [7]

Answer:

Ezra can plant 8 sunflowers

Step-by-step explanation:

0.7S + 0.5L <u><</u> 11

0.7S + 0.5(10) <u><</u> 11

0.7S  + 5 <u><</u> 11

0.7S <u><</u> 6

6 ÷ 0.7 = 8.5

7 0
3 years ago
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