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GuDViN [60]
3 years ago
7

If f (x)=0.2(6-x), what is the value of f(-4)?

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0
The answer should be 2.
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A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th
finlep [7]

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\mathbf{H_o:} the population correlation coefficient is equal to zero

\mathbf{H_a:} the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }

t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }

t =\dfrac{0.60 *4.796} {0.8}

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

6 0
3 years ago
Round to the nearest hundredth (Geometric Series problem)
WITCHER [35]

Answer:

15.98

Step-by-step explanation:

∑₁¹⁰ 8(\frac{1}{4} )^{n-1}

=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]

We have to use the formula of sum of a G.P. series with common ratio r < 1.

If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by  

[a \times\frac{1-r^{n} }{1-r}]

= 8[1 \times \frac{1-\frac{1}{2^{10} } }{1-\frac{1}{2} } ]

= 15.98 (Answer)

4 0
3 years ago
You pull out the plug from the bathtub. After 30 seconds, there are 13 gallons of water left in the tub. One minute after you pu
kari74 [83]
There were 15 gallons of water to begin with. hope this helps
6 0
3 years ago
13x+y=4 plz help i cant get it right lol
kati45 [8]

Answer:

4

__

13

Step-by-step explanation:

look up top for explanation

7 0
2 years ago
Read 2 more answers
Joel Bradley purchased a new cooler for his florist shop for $4,500. He wants to finance it with an installment loan from his ba
Bas_tet [7]

Answer:

62.22% I think.

Step-by-step explanation:

Have a good day.

5 0
2 years ago
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