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algol [13]
4 years ago
12

HELP ME PLZZ!!! EASY BUT I DONT GET IT!!!

Mathematics
1 answer:
Vika [28.1K]4 years ago
3 0
C if you need me to explain it then message me❤️❤️
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Too much to type!! So here is a photo instead
klasskru [66]

Answer:

<em><u>9 months</u></em>

Step-by-step explanation:

1. write out equation

100 + 22x = 298

2. Subtract 100 from both sides

22x = 198

3. Divide 22 from each side

198/22 = 9

<em>hence, Katrina will pay off the sofa in 9 months.</em>

have a great day! :)

7 0
3 years ago
Read 2 more answers
SHOW YOUR WORK answer and step by step
iragen [17]

Answer:

a=7

Step-by-step explanation:

-52 = -17 -5a

Add 17 to each side

-52+17 = -17-5a+17

-35 = -5a

Divide by -5

-35/-5 = -5a/-5

7=a

3 0
3 years ago
The price of a sweater was originally $20 but the store is having a sale and now it only costs $12. What is the discount percent
Irina-Kira [14]

Answer:

40%

Step-by-step explanation:

20x40%=8

$20-$8=$12

3 0
3 years ago
Read 2 more answers
A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored
pickupchik [31]

Answer:

We conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.

Step-by-step explanation:

<u>The complete question is</u>: A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were:

Number sampled: 1,000 (republican) , 800 (democrats)

Number in favor: 200 (republican) , 168 (democrats)

At the 0.02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.

Let p_1 = <u><em>proportion of Republicans in favor of lowering the standards</em></u>.

p_2 = <u><em>proportion of Democrats in favor of lowering the standards</em></u>.

SO, Null Hypothesis, H_0 : p_1 \geq p_2     {means that there is an equal or larger proportion of Republicans in favor of lowering the standards}

Alternate Hypothesis, H_A : p_1 < p_2     {means that there is a larger proportion of Democrats in favor of lowering the standards}

The test statistics that would be used here <u>Two-sample z-test for</u> <u>proportions</u>;

                         T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of Republicans in favor of lowering the standards = \frac{200}{1000} = 0.20

\hat p_2 = sample proportion of Democrats in favor of lowering the standards = \frac{168}{800} = 0.21

n_1 = sample of Republicans = 1000

n_2 = sample of Democrats = 800

So, <u><em>the test statistics</em></u>  =  \frac{(0.20-0.21)-(0)}{\sqrt{\frac{0.20(1-0.20)}{1000}+\frac{0.21(1-0.21)}{800} } }

                                     =  -0.52

The value of z test statistics is -0.52.

<u>Now, P-value of the test statistics is given by the following formula; </u>

            P-value = P(Z < -0.52) = 1 - P(Z \leq 0.52)

                          = 1 - 0.6985 = 0.3015

Now, at 0.02 significance level, the z table gives a critical value of -2.054 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.52 > -2.054, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.

7 0
3 years ago
if alpha and beta are zeroes of polynomial 4x^2-1 obtain a quadratic polynomial whose zeroes are 1/2 alpha+beta and 1/alpha+2 be
AysviL [449]
Ok so 4x2-1 gives us 3
4 0
3 years ago
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