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Darya [45]
3 years ago
8

Find (g•f) (3) f(x)= |x+2| g(x) = -x^2

Mathematics
1 answer:
liraira [26]3 years ago
8 0

Answer:

a

Step-by-step explanation:

g(x)=-x²

f(x)=|x+2|

f(3)=|3+2|=5

(g*f)(3)=g(f(3))=g(5)=-5²=-25

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Evaluate −x+| y | when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.
Mama L [17]

Answer: = \frac{17}{12}\quad \left(\mathrm{Decimal:\quad }\:1.41666\dots \right)

Step-by-step explanation:

-\frac{1}{3}+\left|-\frac{7}{4}\right|

=-\frac{1}{3}+\frac{7}{4}

=\frac{17}{12}

5 0
3 years ago
Which inequality is represented by the graph below?
jasenka [17]

Answer:

y<-2x+1

Step-by-step explanation:

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3 years ago
What the sheet says
dmitriy555 [2]
Jenny spent 25 minutes reading
5 0
3 years ago
The length of a rectangle is two less than four times the width. If the perimeter is 26 cm, find the dimensions of the rectangle
gulaghasi [49]

Answer:

w = 3

l = 10

Step-by-step explanation:

l = 4w-2

P = 26cm

P = (l + w) × 2

26 = (4w-2+w) ×2

26 = (4w + w - 2) × 2

26 = ( 5w - 2 ) × 2

26 ÷ 2 = 5w -2

13 = 5w - 2

13 + 2 = 5w

15 = 5w

w = 3

l = 4w - 2

l = (4 × 3) -2

l = 12 - 2

l = 10

7 0
3 years ago
A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At a
zubka84 [21]

Answer:

Z = -1.333

P-value  = 0.09176

Decision Rule: Reject H_o if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

Step-by-step explanation:

Given that:

The sample size of the poll = 1068

The proportion of voters that preferred Democratic candidate is \hat p = 0.48

To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5

The null hypothesis and the alternative hypothesis can be computed as:

H_o : p \geq 0.50

H_1 : p < 0.50

Using the Z test statistics which can be expressed by the formula:

Z = \dfrac{\hat p - p}{\dfrac{\sqrt{p(1-p) }}{n}}}

Z = \dfrac{0.48 - 0.5}{\dfrac{\sqrt{0.5(1-0.5) }}{1068}}}

Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.5(0.5) }}{1068}}}

Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.25}}{1068}}}

Z = \dfrac{-0.02}{0.015}

Z = -1.333

P-value = P(Z< -1.33)

From z tables,

P-value  = 0.09176

The level of significance ∝ = 0.05

Decision Rule: Reject H_o if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

5 0
3 years ago
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