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tekilochka [14]
3 years ago
14

e="Expand $(a + 2)(3a^2 + 12)(a - 2).$" alt="Expand $(a + 2)(3a^2 + 12)(a - 2).$" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

3a^{4} - 48

Step-by-step explanation:

Given

(a + 2)(3a² + 12)(a - 2)

= (a + 2)(a - 2)(3a² + 12) ← expand the first pair of parenthesis using FOIL

=(a² - 4)(3a² + 12) ← expand using FOIL

= 3a^{4} + 12a² - 12a² - 48 ← collect like terms

= 3a^{4} - 48

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According to the Statistical Abstract of the United States, in 2000, 10.7% of Americans over 65 years of age use the Internet. A
Dvinal [7]

Answer:

H0 : μ = 0.107

H1 : μ ≠ 0.107

Step-by-step explanation:

The claim is the alternative hypothesis. H1 ; which is a researcher's opinion that the proportion of Americans aged 65 and above using the internet as changed from the mean value of 10.7% (0.107). The direction of the change is not given, hence. We cannot use the greater or less Than sign as the direction of the change isn't specified by the researcher or data Given. Hence, the shift could be either to the right or left. Hence, the use of the equal to and not equal to sign.

The null will oppose the alternative hypothesis and take the stance that the proportion hasn't changed from the initial mean.

4 0
2 years ago
A survey of 50 retail stores revealed that the average price of a microwave was $375, with a sample standard deviation of $20 (i
OlgaM077 [116]

Answer: d) $369.31 to $380.69

Step-by-step explanation:

Given;

Mean price x= $375

Standard deviation r= $20

Number of retail stores n = 50

Confidence interval of 95%

Z*(95%) = 1.96

Confidence interval = x+/-Z*(r/√n)

= $375+/- 1.96(20/√50)

= $375+/- 5.69

Confidence interval = ($369.31 to $380.79)

5 0
3 years ago
Which expression is equivalent to 3a^2b•4bc^2
Mice21 [21]

Answer

Step-by-step explanation:

C

8 0
2 years ago
If P (3,5) and Q is (-2, 13) then what's PQ = ?
Salsk061 [2.6K]

Answer:

(1/2, 9) is the answer

Explanation:

x = 3+(-2)/2

x = 1/2

y = 5+13/2

y = 18/2

y = 9

so the midpoint of PQ is (1/2,9)

7 0
3 years ago
Help! what is the answer to <br>3 * -1 equals?
mars1129 [50]

Answer:

-3

Step-by-step explanation:

3 * -1 = -3

When a positive number is multiplied by a negative number, the solution will be negative.


8 0
3 years ago
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