Distance between (-1,0) and (8,6)

Answer:

$13.50

Step-by-step explanation:

$54 divided by 4 is $13.50.

Answer:

Step-by-step explanation:

Each term is being multiplied by -0.5

How did I know?

Divide the second term by the first.

-50 divided by 100 = -1/2

Find the last four terms.

-12.5 x -1/2 = 6.25

6.25 x -1/2 = -3.125

-3.125 x -1/2 = 1.5625

1.5625 x -1/2 = -0.78125

Answer:

The answer is 0.31

Step-by-step explanation:

Old Method                                       New Method                          .

Mean                      73.5625                  Mean            75.70588

Standard Error        3.143736             Standard Error  2.923994

Median                    72                          Median            75

Mode                       90                          Mode               64

Standard deviation  12.57494           Standard deviation 12.05594

Sample Variance     158.1292            Sample Variance     145.3456

Kurtosis                     -1.14544              Kurtosis                   -0.76646

Skewness                 0.171025             Skewness                0.091008

Range                       39                        Range                      41

Minimum                   55                        Minimum                 56

Maximum                  94                        Maximum                 97

Sum                          1177                        Sum                        1287

Count                         16                         Count                      17

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: μNew< μOld

Alternative hypothesis: μNew > μOld

Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the mean difference between sample means is too small.

Formulate an analysis plan. For this analysis, the significance level is 0.05. Using sample data, we will conduct a two-sample t-test of the null hypothesis.

Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).

[tex]SE=\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } \\\\SE=4.29[/tex]

DF = 31

[tex]t = \frac{(x_1-x_2)-d}{SE} \\\\t = - 0.4997[/tex]

where s1 is the standard deviation of sample 1, s2 is the standard deviation of sample 2, n1 is the size of sample 1, n2 is the size of sample 2, x1 is the mean of sample 1, x2 is the mean of sample 2, d is the hypothesized difference between population means, and SE is the standard error.

The observed difference in sample means produced a t statistic of - 0.499. We use the t Distribution Calculator to find P(t < - 0.499) = 0.311

Therefore, the P-value in this analysis is 0.311.

Interpret results. Since the P-value (0.311) is greater than the significance level (0.05), we cannot reject the null hypothesis.

From the above test we do have sufficient evidence in the favor of the claim that new method is efficient than the old method.

Answer:

H0: μ ≤ 68,800

H1: μ > 68,800

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (H1) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

The Null hypothesis is that the average attendance at games is less than or equal to 68,800.

H0: μ ≤ 68,800

The alternative hypothesis is that the average attendance at games is over 68,800.

H1: μ > 68,800

H₀: μ ≤ 68,800 H₁: μ > 68,800. Then the correct option is D.

In null hypotheses, there is no relationship between the two phenomenons under the assumption, or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

The Null hypothesis is that the average attendance at games is less than or equal to 68,800.

H₀: μ ≤ 68,800

The alternative hypothesis is that the average attendance at games is over 68,800.

H₁: μ > 68,800

Then the correct option is D.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

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Answer:

$110,579.39 this is the right answer.

Answer: $0.92

Step-by-step explanation:

$11.50*0.08=0.92

11.50+0.92= $12.42

Answer:

Fail to reject H₀

Step-by-step explanation:

To reject the null hypothesis, the P-value must be less than 0.05.

Since the P-value is 0.15 which is greater than 0.05, we would fail to reject the null hypothesis as there is no sufficient evidence against the null hypothesis.

Thus, the conclusion would be to fail to reject H₀.

Answer:

32

Step-by-step explanation:

g(x) = 4x² - 3x + 7

g(3) = 4(3)² - 3(3) + 7

g(3) = 4(9) - 9 + 7

g(3) = 36 - 9 + 7

g(3) = 25 + 7

g(3) = 32

Answer:

The answer is yes

Step-by-step explanation:

x-7 > 27

x> 27 +7

x > 34

Answer:

Yes

Step-by-step explanation:

We have the inequality:

x-7 > 27

To solve this, we have to get by itself. 7 is being subtracted from x. To undo this, add 7 to both sides, since addition is the opposite of subtraction.

x-7+7>27+7

x>34

So, your answer is correct

Answer:

{-7,5,18,24,32}

Step-by-step explanation:

Let's verify all cases to determine the solution to the problem.

CASE A) we have

-9,7,15,22,26

The number 22 is not included in the solution set of the compound inequality.

CASE B) we have

-7,5,18,24,32

The number 22 is not included in the solution set of the compound inequality.

CASE C) we have

16,17,22,23,24

The number 22 is not included in the solution set of the compound inequality.

CASE D) we have

18,19,20,21,22

The numbers 19,20,21,22 are not included in the solution set of the compound inequality.

The answer to your question would be A

Answer:

9.375 cm

Step-by-step explanation:

To find the area of a rectangle you have to multiply the length by the width. In this case, you are multiplying 3.75 by 2.5, which gets you 9.375. Hope this helps !

Answer:

645

Step-by-step explanation:

it says 645 were inrolled in the fall

Answer:

The y-intercept is (0,5)

Step-by-step explanation:

y-intercept can be found by plugging x=0 into given equation

f(x)=5(6)^0=5(1)=5  

which same as given y-intercept (0,5)

Answer:

  7(5 +2)

Step-by-step explanation:

From our knowledge of times tables, we know that ...

  35 = 5·7

  14 = 2·7

so the greatest common factor of 35 and 14 is 7. Factoring that out, we have ...

  35 +14 = 7(5 +2)

Answer:440

Step-by-step explanation:

F=440(2)h/12 h=6

F=440 x 2 x 6/12

F=(440 x 2 x 6) ➗ 12

F=5280 ➗ 12

F=440

Answer:

2x³ - 17x² + 13x + 11

Step-by-step explanation:

(2x + 1)(x² - 9x + 11)      Distribute the 2x then the 1

2x³ - 18x² + 22x + x² - 9x + 11       Combine like terms

2x³ - 17x² + 13x + 11

If this answer is correct, please make me Brainliest!

Answer:

3/60 in the simplest form is 1/20

Step-by-step explanation:

You divide the numerator to the denominator. So, in this case I would divide 3 by 60 and I got 20 so 20 would be my denominator and then, I would think how many times can 3 go in 3 and the answer would be one because 3 goes inside 3 only one time so 1/20 would be your answer.

I would like Brainliest please.                     :)

In the simplest form, we can write the fraction (3/60) as (1/20).

Given is to write 3/60 as a fraction in its simplest form.

The given fraction is : 3/60

Simplest form means reducing the given fraction in a way such that the numerator and denominator cannot be further subdivided.

In the simplest form, we can write the fraction as -

3/60 = 3/(3 x 20) = 1/20

Therefore, in the simplest form, we can write the fraction (3/60) as (1/20).

To solve more questions on fractions, visit the link below-https://brainly.com/question/10354322

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Answer:

A

Step-by-step explanation:

Cosine X= adjacent /hypotenuse

where adjacent=5 and hyp=13

Cos X=5/13

Answer:

The answer is the garbage truck had 6 wheels

Step-by-step explanation:

Since the semitruck has 18 wheels and the semitruck had 3 times more wheels than a garbage truck all you would have to do is divide 18 by 3 and you will get 6 as your answer.

Hope this helps, its my first time answering.

Answer:

boo just search the formula dud

its A though

Answer:

It is 124 degrees.

Step-by-step explanation:

You square each coordinate like this:

sqrt(x^2+y^2 )

You will end up getting sqrt(53 and sqrt(10.

Then find the dot product which is -6+-7=-13.

Then cos^-1(-13/sqrt53*sqrt10)

=124 degrees

Answer:

(a) Probability that 2 or fewer will withdraw is 0.2061.

(b) Probability that exactly 4 will withdraw is 0.2182.

(c) Probability that more than 3 will withdraw is 0.5886.

(d) The expected number of withdrawals is 4.

Step-by-step explanation:

We are given that a university found that 20% of its students withdraw without completing the introductory statistics course.

Assume that 20 students registered for the course.

The above situation can be represented through binomial distribution;

[tex]P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 20 students

            r = number of success  

            p = probability of success which in our question is probability  

                  that students withdraw without completing the introductory  

                  statistics course, i.e; p = 20%

Let X = Number of students withdraw without completing the introductory statistics course

So, X ~ Binom(n = 20 , p = 0.20)

(a) Probability that 2 or fewer will withdraw is given by = P(X [tex]\leq[/tex] 2)

P(X [tex]\leq[/tex] 2) =  P(X = 0) + P(X = 1) + P(X = 2)

=  [tex]\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}[/tex]

=  [tex]1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}[/tex]

=  0.2061

(b) Probability that exactly 4 will withdraw is given by = P(X = 4)

                      P(X = 4) =  [tex]\binom{20}{4} \times 0.20^{4} \times (1-0.20)^{20-4}[/tex]

                                 =  [tex]4845\times 0.20^{4} \times 0.80^{16}[/tex]

                                 =  0.2182

(c) Probability that more than 3 will withdraw is given by = P(X > 3)

P(X > 3) =  1 - P(X [tex]\leq[/tex] 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

=  [tex]1-(\binom{20}{0} \times 0.20^{0} \times (1-0.20)^{20-0}+ \binom{20}{1} \times 0.20^{1} \times (1-0.20)^{20-1}+ \binom{20}{2} \times 0.20^{2} \times (1-0.20)^{20-2}+\binom{20}{3} \times 0.20^{3} \times (1-0.20)^{20-3})[/tex]

=  [tex]1-(1 \times1 \times 0.80^{20}+ 20 \times 0.20^{1} \times 0.80^{19}+ 190\times 0.20^{2} \times 0.80^{18}+1140\times 0.20^{3} \times 0.80^{17})[/tex]

=  1 - 0.4114 = 0.5886

(d) The expected number of withdrawals is given by;

                        E(X)  =  [tex]n\times p[/tex]

                                 =  [tex]20 \times 0.20[/tex] = 4 withdrawals

Answer:

 1  5/24 cups

Step-by-step explanation:

Answer:A

Step-by-step explanation:

-8=a(2+5)^2 + 41

-8=a x 7^2 + 41

-8=a x 7 x 7 +41

-8=49a+41

Collect like terms

-8-41=49a

-49=49a

Divide both sides by 49

-49/49=49a/49

-1=a

a=-1

Answer:3

Step-by-step explanation:

edg

Answer:

9/32

hope this helps

Answer:

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

The graph is of all the points such that y is 1/4 of x. So, for x=4, y=1, for example. Similarly, for x=-4, y=-1.

These, (4, 1) and (-4, -1), are two points on the graph, which is a straight line through those points and through the origin. The graph extends to infinity to the lower left and the upper right. A portion is shown below.

Domain (infinity,infinity)

Range (infinity,[tex]\sqrt{7}[/tex])

Answer:

19.5 in²

Step-by-step explanation:

Area of rhombus tile = side × height

Area = 3 × 6.5

Area = 19.5 in²

A rhombus, like any parallelogram, has area equal to base times height,

that's 3×6.5 = 19.5 square inches

Answer: 19.5