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alexandr1967 [171]
3 years ago
7

How do you factorize (x-2) ^2-(x+3)^2?​

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0

Answer:

x^2-4x+4-(x^2+6x+9)

Step-by-step explanation:

=x^2-4x+4-x^2-6x-9

=-10x - 5

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A recent broadcast of a television show had a 10 ​share, meaning that among 6000 monitored households with TV sets in​ use, 10​%
Kisachek [45]

Answer:

Null and alternative hypothesis

H_0: \pi \geq0.25\\\\H_1: \pi

Test statistic z=-26.82

P-value P=0

The null hypothesis is rejected.

It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

H_0: \pi \geq0.25\\\\H_1: \pi

The signifiance level is 0.01.

The sample has a proportion p=0.1 and sample size of n=6000.

The standard deviation of the proportion, needed to calculate the test statistic, is:

\sigma_p=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.25(1-25)}{6000} } =0.0056

The test statistic is calculated as:

z=\frac{p-\pi+0.5/N}{\sigma_p} =\frac{0.1-0.25+0.5/6000}{0.0056}=\frac{-0.1499}{0.0056}  =-26.82

As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.

Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

3 0
2 years ago
Complete the equation to show that 4.2÷0.35 is equal to 420÷35.
Alex

Answer:

12=12

Step-by-step explanation:

4.2÷0.35=420÷35

12=12

12-12=0

0=0

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For each table of values, write an expression that relates the input to the output.
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Answer:

x3, +3

Step-by-step explanation:

Each number gets multiplied by 3 and then you add 3.

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20% is the answer for apex
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This is stupid but if I have 90x how do I get 90?
Marrrta [24]

Answer:

you should subtract x.

Step-by-step explanation:

7 0
2 years ago
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