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3 years ago

Given f(x) = x2 + 5 and g(x) = x^2 , and h(x) = -2x what is h(g(f(x)))=

Mathematics

1 answer:

jeyben [28]3 years ago

5 0

Answer:

Step-by-step explanation:

f(x) = x^2 + 5

g(x^2 + 5) = (x^2 + 5)^2= x^4 + 5x^2 + 5x^2 + 25 = x^4 + 10x^2 + 25

h(x^4 + 10x^2 + 25)= -2(x^4 + 10x^2 + 25)

-2x^4 - 20x^2 - 50

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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

How to do the fractions

GaryK [48]

First you make the mixed numbers/fractions into improper fractions. After that, you must find the common denominator, the LCM of 9 and 6 (for the 2nd problem). After that, if you can, simplify the fraction to lowest terms, which also includes making it a mixed number/fraction.

I hope this helps! :)

3 0

3 years ago

How many bottles can you drink?

jeka57 [31]

Step-by-step explanation:

You have 120 bottles of Cola and 120 bottles of Sprite.

You can exchange 3 empty Cola bottles for a new bottle of Sprite.

You can exchange 4 empty Sprite bottles for a new bottle of Cola.

You can borrow empty bottles, but must return them in the end.

What is the maximal number of bottles of drink that you can drink? Prove the optimality of your result.

As this is a puzzle, please give short and clever answers rather than tedious bruteforce calculations.

6 0

3 years ago

What is the value of <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1331%7D" id="TexFormula1" title="\sqrt[3]{1331}" alt="\s

Umnica [9.8K]

Answer:im not sure i wish i can help but goodluck

Step-by-step explanation:

7 0

3 years ago

There were 3,260 visitors to a county fair on Friday. On Saturday the number of visitors to the fair increased by 15%. Fair orga

KonstantinChe [14]

Answer:

163

Step-by-step explanation:

Given the following :

Number of visitors on Friday = 3,260

Number increased by 15% on Saturday

Projected percentage increase on Saturday = 20%

Actual percentage increase in number of visitors = 15%

Number of visitors on Saturday :

(100 + 15)% × 3260

115% * 3260

(115/100) * 3260

= 3749 visitors

Projected percentage increase = 20%

Projected number:

((100 + 20)% * 3260

120% * 3260

(120/100) * 3260

= 3912

Difference : (3912 - 3749) = 163

3 0

3 years ago