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Andrew [12]
3 years ago
13

Explain how knowing that 5 divided by 8 is 0.625 helps you write the decimal for 4 5/8

Mathematics
1 answer:
arsen [322]3 years ago
8 0
Because it become 4(0.625) then it is 2.5
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In January, the depth of a lake was 808 feet. In August, the depth of the lake was 606 feet. What is the percentage decrease dec
Akimi4 [234]

Answer:

25

Step-by-step explanation:

808-606/808

7 0
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
3 years ago
Find the maximum and minimum values of f(x,y) = 8x+y for the polygonal convex set having vertices at (0, 0), (4, 0), (3, 5), (0,
Helen [10]
F(x,y)=8x+y

This means, f is a function where we plug in pairs of numbers.
then, f calculates the first number times 8, to which it then adds the second number we plugged.

let's calculate f for the vertices:

f(0,0)=8*0+0=0+0=0

f(4, 0)=8*4+0=32+0=32

f(3, 5)=8*3+5=24+5=29

f(0, 5)=8*0+5=0+5=5

the maximum value of f is 32
the minimum value of f is 0
4 0
3 years ago
Solve for x.<br> -5/6x-1/9x=-102<br> x = ______?
kifflom [539]

Answer:x=1/108 is your answer

-5/6x-1/9x=-102

1/x(-5/6-1/9)=-102

1/x=-102/(-17/18)=-102×-18/17=108

x=1/108

3 0
3 years ago
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-4 X 4 X 4 X 4 X 4<br> Solve the problem
AveGali [126]
The answer to this question I’m not sure of
7 0
3 years ago
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