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2 years ago

Enter the value for x that makes the equation, 4(x - 4) = 12x + 16 true.

Mathematics

1 answer:

musickatia [10]2 years ago

7 0

Answer:

False your answer will 4x-16

Step-by-step explanation:

you have to distribute 4 to x and 4 to 4. so you will do 4*x=4x and 4*4=16. Now you still have the subtraction sign so your answer will be 4x-16.

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Among a sample of 55 male soldiers the average shower time was found to be 2.95 minutes and the population standard deviation is

Oksanka [162]

Answer: -3.0593

Step-by-step explanation:

The test statistic for the difference between two population mean (when population standard deviations $\sigma_1\ \&\ \sigma_2$ are known ) is given by :-

$z=\dfrac{\overline{x}_1-\overline{x}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}}$

where ,

$n_1\ \&\ n_2$ = Sample sizes taken from two populations 1 and 2.

$\overline{x}_1-\overline{x}_2$ = Difference between two Sample mean.

$\sigma_1\ \&\ \sigma_2$ = Standard deviations of populations 1 and 2.

As per given , we have

$n_1=55\ \&\ n_2=58$

$\overline{x}_1=2.95\ \&\ \overline{x}_2=3.3$

$\sigma_1=0.65\ \&\ \sigma_2=0.56$

We assume that the data follows a normal distribution.

Then, the test statistic will be :-

$z=\dfrac{2.95-3.3}{\sqrt{\dfrac{(0.65)^2}{55}+\dfrac{(0.56)^2}{58}}}\\\\=\dfrac{-0.35}{\sqrt{0.0130887}}\\\\=\dfrac{-0.35}{0.1144059}=3.05928278174\approx-3.0593$

Hence, the test statistic= -3.0593

5 0

3 years ago

I also have three large chocolate candy bars that are perforated into eight sections each. If I divide the bars into these secti

solniwko [45]

3*8 = 24

You will have 24 sections.

Take a rectangle. Divide it into 8 equal sections

Repeat two more times. That will give you 24 equal peices.

4 0

2 years ago

Need help on this question

Elena-2011 [213]

Your answer to this question is B.

4 0

2 years ago

Read 2 more answers

On Monday there are 25 pencils in a basket, If 3 pencils are taken out of the basket each day, how many pencils are left in the

lutik1710 [3]

13 cuz add 4 days then friday so 4×3 which is 12 and 12-25 so ye its 13

4 0

1 year ago

The volume of the polyhedron is ______ cm3.

PSYCHO15rus [73]

Answer:

50.80 cm^3

Step-by-step explanation:

the polyhedron is a rectangular pyramid

Volume of a rectangular pyramid = 1/3 x ( width x height x length)

1/3 ( 4 x 5 x 3) = 20 inches

we need to convert inches to cm

1 in = 2.54 cm

20 x 2.54 = 50.80 cm^3

8 0

2 years ago