A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to investigate whether the number of babies born in a town is uniformly distributed across the months of the year. The test produced a test statistic of χ2=5.6 with a corresponding p-value of 0.90. Which of the following is correct?
a) Births are uniformly distributed across months.
b) There is sufficient evidence to suggest that the distribution of births is not uniformly distributed across months.
c) There is sufficient evidence to suggest that the distribution of births is uniformly distributed across months.
d) There is insufficient evidence to suggest that the distribution of births is not uniformly distributed across months.
e) There is insufficient evidence to suggest that the distribution of births is uniformly distributed across months.

Answer:

Step-by-step explanation:

3

Answer:

C

Step-by-step explanation:

The formula to find the slope of a line is:

(y2 - y1) / (x2 - x1)

We can substitute the points (-4, 7) and (5, -8) to find the slope:

(-8 - 7) / (5 - (-4))

(-15) / (5 + 4)

(-15) / 9

This can be simplified to

- 5 / 3

which is option C

Answer:

-5/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-7)/(5-(-4))

m=-15/(5+4)

m=-15/9

m=-5/3

Hello there I hop you are having a good day :)

So, if she brought 2 tickets an they cost £4.00 you would add £4.00 + £4.00 = £8.00 and then you would take that away from the £10.00 - £8.00 = £2.00 so Emma would get £2.00 change :) hopefully that helps you.

log(3x) = log(2x-4)

taking antilog of both sides:

3x = 2x - 4

3x - 2x = -4                    [subtracting 2x from both sides]

x = -4

and we're done already!

Answer:

33.3 cm²

Step-by-step explanation:

Recall: Area Scale Factor = (Linear Scale Factor)²

Area scale factor = surface area of bigger cone/surface area of smaller cone

Let the surface area of the smaller cone be represented as x

Therefore,

Area scale factor = 75/x

Linear scale factor = radius of bigger cone/radius of smaller cone = 3/2

Thus:

75/x = (3/2)²

75/x = 9/4

Cross multiply

x*9 = 75*4

9x = 300

Divide both sides by 9

x = 300/9

x = 33.3 cm² (nearest tenth)

Answer:

£9.98

Step-by-step explanation:

Answer:

£39.92

Step-by-step explanation:

Step 1: Find 20% of 49.90 = 9.98

Step 2: Now subtract the result from the original price

[tex]49.90 - 9.98[/tex]

[tex]=39.92[/tex]

£39.92 is 20% off £49.90

Step-by-step explanation:

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did you u know that

that ans is i don't khow

Answer:

Hello! answer: C

Hope that helps!

Answer:

b

Step-by-step explanation:

Experimental - 5 choices, 1 is Q = 1/5

Theoretical - 5 choices, landed on Q 4 times =4/5

Answer:

2.43255071E22

Rounding to the nearest tenth: 2.4

Nearest hundredth: 2.43

Step-by-step explanation:

Hope I helped! :)

Answer:

2.43255e16

Step-by-step explanation:

Answer: 1/45

Step-by-step explanation:

Answer:

Answer attached

Step-by-step explanation:

Answer:

[tex]\frac{8}{10} =\frac{4}{5}[/tex]

Step-by-step explanation:

Both the numerator and denominator of the fraction [tex]\frac{8}{10}[/tex] share a common factor of 2, so you can divide the fraction by [tex]\frac{2}{2}[/tex](1). This leaves you with:

[tex]\frac{8}{10}[/tex] ÷ [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{5}[/tex]

This means that the fraction [tex]\frac{8}{10} =\frac{4}{5}[/tex].

Answer:

The correct option is d. Project B.

Step-by-step explanation:

Note: See the attached excel file for the calculation of the Cumulative Cash Flows of Projects A and B.

Payback period refers to the number of time or period that is needed to recoup the amount of money spent a project. The

payback period rule states that when considering two or more projects, a project with the shortest payback period should be selected.

Payback period can be calculated as follows:

Payback period = Time before full recovery + (Unrecovered cost at start of the time of full recovery / Cash flow during the time of full recovery) ………………. (1)

Using the information in the excel file (in red color), equation (1) can be calculated for Project A and Project B as follows:

Project A payback period = 2 + ($1,000 / $3,000) = 2.33

Project B payback period = 2 + ($3,000 / $10,000) = 2.30

Since the payback period of Project B payback period which is 2.30 is lower than the Project A payback period of 2.33, Project B should be selected.

Therefore, the correct option is d. Project B.

Step-by-step explanation:  5 19 7 36

Alondra studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science and history.

Write an equation and find the solution

Total hours = english hours + ( math + science + history ) hours

Total hours = english hours +  other subjects hours

    7 hours  =  1 hours  +  3( x ) hours     solve for x

     (7 - 1) hours  =  (1 - 1) hours + 3x hours

          6 hours / 3  =  3x / 3    hours

                2 hours  = x hours

Answer:

19.50/6=c c=3.25

Step-by-step explanation:

In this case C=3.25

Answer:

19.50÷6= c

Step-by-step explanation:

19.50÷6 =c

divide to find how much 1 cup of coffee is

60 I think?

I may be wrong-

Answer:

60

Step-by-step explanation:

Answer:

D

T= 3.56

Reject

Step-by-step explanation:

The estimated equation of an employee's commitment to the business (Y) based on the amount of hours they spend meditating (X) is:

[tex]\hat Y = 45.63 + 3.60 *X[/tex]

Also;

[tex]\hat \beta_1[/tex] the coefficient of X from the equation Y on X = 3.60

Standard error  S.E [tex]\hat \beta_1[/tex] = 1.01

The null & alternative hypothesis:

[tex]H_o : \beta_1 = 0 \\ \\ H_1 : \beta > 0[/tex]

Test statistics:

[tex]T = \dfrac{\hat \beta _1}{S.E (\hat \beta _1)}[/tex]

[tex]T = \dfrac{3.60}{1.01}[/tex]

T = 3.56

Value of T-statistics = 3.56

P-value = P(t > T)

here;

t = standard t variable  with a degree of freedom = 100 - 1 = 99

∴

P value = P(t > 3.56)

P value = 1 - P(t < 3.56)

P value = 1 - 0.9997

P value = 0.0003

Since p-value is less than ∝ at 0.05

We reject the [tex]H_o[/tex]  (null hypothesis)

Answer:

x = 37

Step-by-step explanation:

Well if you didn't know vertical angles are congruent ( or equal to each other )

Which means that 74 = 2x

If we want to find the value of x, then we need to get rid of the "2" on 2x

To do so we can divide each side by 2

74 / 2 = 37

2x / 2 = x

we would be left with x = 37

Answer:

120 = 15x + 45   5 hours of lessons

Step-by-step explanation:

120 is total money so that goes on one side.

45 is a one-time cost so it is on its own.

15 per hour is another cost but this one depends on a variable so it has an x.

X represents the number of hours.

You put this together to from the equation: 120 = 15x + 45.

Subtract 45 from both sides: 75 = 15x

Divide 15 from both sides: 5 = x.

X = hours so 5 hours

Answer:

B. No; measure of interior angle = 144

Step-by-step explanation:

I calculated it logically

Answer:

About 400 times

Step-by-step explanation:

Given

[tex]n = 1060[/tex]

See attachment for spinner

Required

Determine the number of times an outcome of 1, 3 or 8 is expected

First, calculate the theoretical probability of 1, 3, or 8

This is calculated as:

[tex]Pr = P(1) + P(3) + P(8)[/tex]

The spinner is divided into 8 equal segments and each outcome appears once.

So, we have:

[tex]Pr = \frac{1}{8}+\frac{1}{8}+\frac{1}{8}[/tex]

Take LCM and add

[tex]Pr = \frac{1+1+1}{8}[/tex]

[tex]Pr = \frac{3}{8}[/tex]

So, the expected number of times (E) is:

[tex]E = Pr * n[/tex]

[tex]E = \frac{3}{8} * 1060[/tex]

[tex]E = \frac{3* 1060}{8}[/tex]

[tex]E = \frac{3180}{8}[/tex]

[tex]E = 397.5[/tex]

Approximate

[tex]E = 398[/tex]

This means about 400 times

Answer: D (64)

Step-by-step explanation:

My answer is correct because, it's showing that 4 is the length, width, and height. So it bassically 4 x 4 x 4 in other words 4 exponent 3. And 4 exponent 3 would equal 64.

Hope This Helps!

Answer: x=5.9

Equation: 20.7= 3x+3

Step-by-step explanation:

20.7=3x+3

-3 -3

——————

17.7= 3x

————-

3

5.9= X

Was that ok? :) ur a smart kid so I’m sure you’ll figure this out but if u do have questions just put it in the comments :)

Answer:

Step-by-step explanation:

NO ONE IS TRUE

6/12=2NOT 3

8*12=96NOT16

12+2=14 NOT 1

10/12=1.2 NOT 20

Answer: 42 mm^2

Step-by-step explanation:

A=bh/2

b=7, h=12

7*12=84, 84/2=42

Answer:

area of the triangle

[tex]( \frac{1}{2} \times 12 \times 7 )\\ 42 {mm}^{2} [/tex]

Answer:

13/15

86.67%

Step-by-step explanation:

non red marbles = 13

total marbles = 15

13/15 = 0.866667

86.67%

Answer:

5 × 4 = 20 not 40

Step-by-step explanation: