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irina1246 [14]
3 years ago
15

F f(x) = 3(x + 4), find f(2).

Mathematics
1 answer:
inna [77]3 years ago
7 0

Answer:

f(2) = 18

Step-by-step explanation:

To evaluate f(2) , substitute x = 2 into f(x), that is

f(2) = 3(2 + 4) = 3 × 6 = 18

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A researcher claims that the mean cost of raising a child from birth to age 2 by husband­wife families in the U.S. is $13,960. A
irina1246 [14]

Answer:

Yes, there enough evidence to reject the claim.

Step-by-step explanation:

Here we need to perform a test for single mean to determine whether the  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.

The hypothesis is:

<em>H₀</em>: The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, i.e. µ = $13,960.

<em>Hₐ</em>: The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960, i.e. µ ≠ $13,960.

The information provided is:

\ar x=13725\\\sigma=2345\\n=500\\\alpha =0.10

The test statistic is:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{13725-13960}{2345/\sqrt{500}}=-2.24

The test statistic value is -2.24.

Compute the <em>p</em>-value for this test statistic value at 10% level of significance as follows:

p-value=2\times P(Z

               =2\times 0.01255\\=0.0251

Use the <em>z</em>-table.

The calculated <em>p</em>-value is, 0.0251 < 0.10, therefore the null hypothesis will be rejected.

<u>Conclusion</u>:

As the null hypothesis is rejected at 10% level of significance it can be concluded that there enough evidence to reject the claim.

The  mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960.

5 0
3 years ago
If the volume of the rectangular prism is represented by 6x^2-2x+8 and the base area is 2x-4 which expression represents the hei
MissTica
Check the picture below.

\bf 6x^2-2x+8=(2x-4)h\implies \cfrac{6x^2-2x+8}{2x-4}=h&#10;\\\\\\&#10;\cfrac{3(2x^2-x+4)}{2(x-2)}=h\implies \cfrac{3(3x-4)(x+1)}{2(x-2)}=h

8 0
3 years ago
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The following graph shows the low temperatures for the past six nights. Which night had a low temperature of 26°F?
Rasek [7]
The Correct answer is A
7 0
3 years ago
Read 2 more answers
1. Find the area of the polygon
zhannawk [14.2K]

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

                                             = 40 units²

2.  This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

                                             = 72 units²

3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

7 0
2 years ago
Use the picture in the diagram 4<br> Help pls<br> Pretty pls too
Aliun [14]

Answer:

a

Step-by-step explanation:

5 0
2 years ago
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