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juin [17]
3 years ago
6

Solve 0.25[2.5x+1.5(x-4)]=-x

Mathematics
1 answer:
Vlad [161]3 years ago
6 0

Answer:

x = 0.75

Step-by-step explanation:

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cricket20 [7]
What is the context ? is it multiple choice ?
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3 years ago
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In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colle
m_a_m_a [10]

Answer:

a) H0 : u = 28.5%

H1 : u < 28.5%

b) critical value = - 1.645

c) test statistic Z= - 1.41

d) Fail to reject H0

e) There is not enough evidence to support the professor's claim.

Step-by-step explanation:

Given:

P = 28.5% ≈ 0.285

X = 210

n = 800

p' = \frac{X}{n} = \frac{210}{800} = 0.2625

Level of significance = 0.05

a) The null and alternative hypotheses are:

H0 : u = 28.5%

H1 : u < 28.5%

b) Given a 0.05 significance level.

This is a left tailed test.

The critical value =

-Z_0.05 = -1.645

The critical value = -1.645

c) Calculating the test statistic, we have:

Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}

Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}

Z = -1.41

d) Decision:

We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645

e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.

5 0
4 years ago
A jewelry box is b2 inches long, 3c2 inches wide, and 2c1 inches tall. Which of the following are correct? Select ALL that apply
Mariulka [41]

9514 1404 393

Answer:

  B, F

Step-by-step explanation:

The volume is the product of the dimensions:

  V = LWH

  V = (b^2)(3c^2)(2c^1) = (3·2)(b^2)(c^(2+1))

  V = 6b^2·c^3 . . . . . matches B

__

For b=3 and c=2, the volume is ...

  V = 6(3^2)(2^3) = 6(9)(8)

  V = 432 . . . . cubic inches . . . . matches F

6 0
3 years ago
Students in health class are tracking how much water they consume each day. Evelyn has two reusable water bottles: a small one a
Ludmilka [50]

Answer:

424 grams for the small one and 510 grams for the big one.

Step-by-step explanation:

Nice profile picture.

8 0
2 years ago
A construction crew is lengthening a road. The road started with a length of 51 miles, and the crew is adding 2 miles to the roa
nikitadnepr [17]

Answer:

Total length after 33 days will be 117 miles

Step-by-step explanation:

A construction crew is lengthening a road. The road started with a length of 51 miles.

Average addition of the road is = 2 miles per day

Let the number of days crew has worked are D and length of the road is L, then length of the road can represented by the equation

L = 2D + 51

If the number of days worked by the crew is = 33 days

Then total length of the road will be L = 2×33 + 51

L = 66 + 51

L = 117 miles

Total length of the road after 33 days of the construction will be 117 miles.

5 0
3 years ago
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