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Karolina [17]
3 years ago
9

Factor the expression (x+4)^2-4y^5(x+4)+4y^10

Mathematics
1 answer:
Kamila [148]3 years ago
6 0
If you factor this,
it is (x+4-2y^5)^2
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Write the equation the describes the parabola that passes through the point (-8,-21) and has a vertex of (-4,-5), in vertex form
Harlamova29_29 [7]

Answer:

d

Step-by-step explanation:

7 0
2 years ago
Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.005 signif
algol [13]

Answer:

a) F. H 0 : μ O ≥ μ C

H 1 : μ O < μ C

b) B. two-tailed

d) t=\frac{(2.91-2.96)-0}{\sqrt{\frac{0.05^2}{60}+\frac{0.03^2}{60}}}}=-6.64  

e) p_v =P(t_{118}  

f) B. Reject the null hypothesis

Step-by-step explanation:

Information provided

\bar X_{O}=2.91 represent the mean for the Orange Coast

\bar X_{C}=2.96 represent the mean for the Coastline

s_{O}=0.05 represent the sample standard deviation for Orange Coast

s_{C}=0.03 represent the sample standard deviation for Coastline

n_{O}=60 sample size for Orange Coast

n_{C}=60 sample size for Coastline

\alpha=0.005 Significance level provided

t would represent the statistic

Part a

For this case we want to test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students

Null hypothesis:\mu_{O} \geq \mu_{C}  

Alternative hypothesis:\mu_{O} < \mu_{C}  

F. H 0 : μ O ≥ μ C

H 1 : μ O < μ C

Part b

For this case we need to conduct a left tailed test.

B. two-tailed

Part d

The statistic is given by:

t=\frac{(\bar X_{O}-\bar X_{C})-\Delta}{\sqrt{\frac{s^2_{O}}{n_{O}}+\frac{s^2_{C}}{n_{C}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=60+60-2=118  

Replacing the info we got:

t=\frac{(2.91-2.96)-0}{\sqrt{\frac{0.05^2}{60}+\frac{0.03^2}{60}}}}=-6.64  

Part e

We can calculate the p value with this probability:

p_v =P(t_{118}  

Part f

Since the p value is a very low value compared to the significance level given of 0.005 we can reject the null hypothesis.

B. Reject the null hypothesis

5 0
3 years ago
What does exceed mean in math
nordsb [41]

Answer: exceed means to be larger than or greater than

Step-by-step explanation:

just the defintion

5 0
3 years ago
How many possible solutions could f(x) = 6x^3 + 8x^2 - 7x -3 have?
Alex17521 [72]
3 possible solutions.


The reason is because of the degree, which is 3
3 0
3 years ago
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The scale shows both percentages and decimals.
soldier1979 [14.2K]
0.9 and 0.07
hope it helps
3 0
3 years ago
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