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wolverine [178]
3 years ago
5

F(x) =x2-10x+18 Vertex and vertex form

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

b. y=( x-5) /2-7 is your answer bro

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Two independent samples of sizes 20 and 30 are randomly selected from two normally distributed populations. Assume that the popu
aleksley [76]

Answer:

b. Student-t with 48 degrees of freedom

Step-by-step explanation:

For this case we need to use a Two Sample t Test: equal variances.

Assumptions

When running a two-sample equal-variance t-test, the basic assumptions are "that the distributions of the two  populations are normal, and that the variances of the two distributions are the same".

Let \bar x and \bar y be the sample means of two sets of data of size n_x and n_y respectively. We assume that the distribution's of x and y are:

x \sim N(\mu_x ,\sigma_x =\sigma)

y \sim N(\mu_y ,\sigma_y=\sigma)

Both are normally distributed but without the variance equal for both populations.

The system of hypothesis can be:

Null hypothesis: \mu_x =\mu_y

Alternative hypothesis: \mu_x \neq \mu_y

We can define the following random variable:

t=\frac{(\bar x -\bar y)-(\mu_x -\mu_y)}{s\sqrt{\frac{1}{n_x}+\frac{1}{n_y}}}

The random variable t is distributed t \sim t_{n_x +n_y -2}, with the degrees of freedom df=n_x +n_y -2= 20+30-2=48

And the pooled variance can be founded with the following formula:

s^2=\frac{(n_x -1)s_x^2 +(n_y-1)s_y^2}{n_x +n_y -2}

So on this case the best answer would be :

b. Student-t with 48 degrees of freedom

5 0
3 years ago
At a dog competition, a dog is awarded 10 points if it runs through 4 pipes, makes 10 jumps, and walks on 2 beams. If Roofy gets
choli [55]

Answer:

Butch should be awarded with 9,2 points

Step-by-step explanation:

Roofy gets 9 points out of 10 missing only a pipe, that means that each pipe is awarded with 1 point

Ralph gets 7 points out of 10 missing one pipe ( 1 point ) and 2 points missing a beam

So points are awarded as follows

1 point by pipe              then 4 points   for    4 pipes

2 points by beam         then  4 points  for     2 beams

We just have 2 points to award 10 jumps then each jump is awarded by 0,2 points

Finally as Butch missed 4 jumps, Butch should be awarded with 9,2 points

8 0
3 years ago
The product of 12 and k is 84
Vedmedyk [2.9K]

Answer:

12 times k equals 84

Hope this helps

-Amelia

4 0
3 years ago
Which polynomial expression represents the perimeter of the rectangle? (3a + 4) (2a - 1)​
Katen [24]

Answer:

10a + 6

Step-by-step explanation:

3a + 4 + 2a - 1

5a + 3

2( 5a + 3)

10a + 6

7 0
3 years ago
If the sphere shown above has a radius of 15 units , then what is the volume of the sphere ?
elena-s [515]

Answer:

4,500 cubic units

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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