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Eva8 [605]
3 years ago
6

3(2x^2+5)-12 for x is 3

Mathematics
1 answer:
dedylja [7]3 years ago
5 0

3(2x^2+5)-12

3(2x^2)= 6x^2

3(5) = 15

6x^2+15-12

6x^2+3

Plug in the x

6(3)^2+3

Exponent first so 3^2 is 9

6(9)+3

54+3

57 is the answer.

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madreJ [45]
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4 0
3 years ago
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A national study report indicated that​ 20.9% of Americans were identified as having medical bill financial issues. What if a ne
Alenkasestr [34]

Answer:

The​ p-value for this​ test is 0.22065.

Step-by-step explanation:

We are given that a national study report indicated that​ 20.9% of Americans were identified as having medical bill financial issues.

A news organization randomly sampled 400 Americans from 10 cities and found that 90 reported having such difficulty.

<u><em>Let p = proportion of Americans who were identified as having medical bill financial issues in 10 cities.</em></u>

SO, Null Hypothesis, H_0 : p \leq 20.9%   {means that % of Americans who were identified as having medical bill financial issues in these 10 cities is less than or equal to 20.9%}

Alternate Hypothesis, H_A : p > 20.9%   {means that % of Americans who were identified as having medical bill financial issues in these 10 cities is more than 20.9% and is more severe}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 400 Americans from 10 cities who were found having such difficulty =  \frac{90}{400} = 0.225 or 22.5%

            n = sample of Americans = 400

So, <u><em>test statistics</em></u>  =  \frac{0.225-0.209}{{\sqrt{\frac{0.225(1-0.225)}{400} } } } }

                               =  0.77

<u></u>

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

         P-value = P(Z > 0.77) = 1 - P(Z \leq 0.77)

                                            = 1 - 0.77935 = 0.22065

5 0
3 years ago
Find the area of the shape shown below.
sveticcg [70]

Answer:

A = 15u²

Step-by-step explanation:

Area of a Trapezoid Formula:

\frac{h}{2}*(b_1+b_2)

Plug in our values (h = 3, b1 =  7, b2 = 3)

\frac{3}{2}*(7+3)

Now we evaluate

\frac{3}{2}*(10)

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6 0
2 years ago
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Anarel [89]
Answer
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Answer:

answer is b

Step-by-step explanation:

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