10 points
question 5: a, b, and c.

Answer:

the last one

Answer:

C) There is sufficient evidence to suggest that the toll booths are not used in equal proportions.

Step-by-step explanation:

First of all, we have to understand that this is a question asking to draw a conclusion from the chi-square GOF (goodness of fit) test information that was given in the problem text.

From there, we use the usual sentence format, and in this case, we use the sentence format for when the p-value is less than α:

Since the p-value (0.008) is less than the alpha value (0.05), we reject the null hypothesis ([tex]H_0[/tex]). There is sufficient evidence to suggest that the toll booths are not used in equal proportions.

To elaborate, we get this answer by knowing that since the p-value is so low, the chance of getting a test statistic that extreme (too low or too high depending on the context) is significantly unlikely.

The correct option regarding the significance level is C. There is sufficient evidence to suggest that the toll booths are not used in equal proportions.

In this question, we simply have to deduce a conclusion from the chi-square test information that was given.

In this case, the p-value (0.008) is simply less than the alpha value (0.05), therefore, we will reject the null hypothesis.

This implies that there is sufficient evidence to suggest that the toll booths are not used in equal proportions.

Learn more about significance level on:

https://brainly.com/question/4599596

Answer:

2(n+18)

18(2+n)

2•(18•n)

I hope this helps

Answer:

Increasing Order:

34, 71, 269, 976, 16759, 49753, 796542

Decreasing Order:

796542, 49753, 16759, 976, 269, 71, 34

Answer:

I would say A

Step-by-step explanation:

Have a great day hope this helped!

Answer:

G(-4,2), H(-3,-4), J(-1,1)

Step-by-step explanation:

The x-values would all become negative.

G(-4,2), H(-3,-4), J(-1,1)

Answer:

I think it is 75

Step-by-step explanation:

because you divide 45 by 3 to get 15 then 15 x 5 is 75:)

Answer:

0.0625

Step-by-step explanation:

Hope this helps :)

Have a nice day <3

Answer:

1/16

Step-by-step explanation:

Just multiply all numerators and all denominators: 1x1x1x1/2x2x2x2. That gives you your total of 1/16.

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size    n₁  = 450

p₁  =  0,48        p₁ = 48 %

x₁ = 0,48 * 450        x₁ = 216

Sample proportion 2:  Born between 1965 and 1971

sample size    n₂  = 300

p₂ =  0,60         p₂ = 60%

x₂  = 0,6* 300     x₂  = 180

Test Hypothesis:

Null Hypothesis                          H₀               p₂  =   p₁

Alternative Hypothesis              H                p₂  >  p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume  CI = 95 %   then significance level α   = 5 %  the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score  is z(c)  for  α = 0,05       from z-table   z(c) = 1,64

To calculate z(s)

z(s)  =  ( p₂  -  p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁  =  0,60  - 0,48

p₂ - p₁  =  0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216  + 300) / 450 + 300

p = 516 / 750     p = 0,688      then   q = 1 - p     q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)|   and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the  claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

Answer:

You 22/20=1.1

your friend 18/15=1.2

Answer:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

Step-by-step explanation:

Answer:

7 and 3/5

Step-by-step explanation:

3 and 4/5 times 2 is 7 and 3/5

Answer: c

Step-by-step explanation:

Answer: 147

Step-by-step explanation: you just have to replace n in the equation to 30 giving you:

-3+50(30)

Now solve

-3+150=147

Answer:

[tex]\rm T_{30}= 147 [/tex]

Step-by-step explanation:

Given :-

And we need to find out the 30th term of the sequence . For that simply substitute n = 30 in the given expression to find out the 30th term .

The nth term :-

[tex]\rm\implies n = 30[/tex]

The sequence :-

[tex]\rm\implies T_n = 5n - 3 [/tex]

On substituting :-

[tex]\rm\implies T_{30}= 5*30-3 \\\\\implies\rm T_{30}= 150 - 3 \\\\\implies\boxed{\rm T_{30}= 147 }[/tex]

Hence the 30 th term is 147 .

Answer:

i got 70

Step-by-step explanation:

Brain   4           Brain gets 42 more sweets Sara

Pip      5           How many sweets does Pip get?

Sara    1

when   b = s + 42            find p        b = 4s    p = 5s

           4s = s + 42                           b/4 = s      p = 5b/4

           3s = 42

             s = 14           b = 56         p = 70      

I initially found the answer by trail and error, then I could figure out the equation.  

s     b      p

1     4      5

10   40   50

16   64   90

14   56   70

Answer:

C) 3.61 units

Step-by-step explanation:

5 - 3 = 2

7 - 4 = 3

distance²  = 2² + 3³ = 4 + 9 = 13

distance = √13 = 3.61

Answer:

I did not understand your question.

But the answer is 40.0625

Answer:

we add the powers to have 4-6 =-2

4 to power -2 which gives 0.0625

Answer:

14 + 5x = 39

Step-by-step explanation:

first I had to remember the keywords that gave me a hint of what I have to write. I figured out that more is plus ( + ) , times is multiplication ( x ) , and is is the equal sign ( = ).

Answer:

1 cubic inch

Step-by-step explanation:

For rectangular prism:

[tex]l = 4 \times \frac{1}{2} = 2 \: in \\ \\ w= \frac{1}{2} \: in \\ \\ h = 2 \times \frac{1}{2} = 1 \: in \\ \\ volume \: of \: prism = lbh \\ = 2 \times \frac{1}{2} \times 1 \\ = 1 \: {in}^{3} [/tex]

Answer: The volume is 1 cubic inch.

Step-by-step explanation:

Volume of 1 cube

V= l*w*h

V= 1/2*1/2*1/2

V= 1/8 or 0.125

Volume of Prism

8*1/8= 1

Answer:

i think it might be 0.43

Step-by-step explanation:

Just divide 13/30 and it should you you that proportion as a percentage I think! Sorry if I might've given you the wrong answer but just trynna help!

have a nice day

Answer:

43.3% of the students play rugby.

Step-by-step explanation:

13/30 = 0.43333

0.43333*100 = 43.33%

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

9514 1404 393

Answer:

  86.7

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(64°) = 38/x

  x = 38/cos(64°) ≈ 86.685

The value of x is about 86.7.

Answer:

B) A herd of lions whose numbers triple every decade.

Step-by-step explanation:

Situations that can be modeled by exponential functions:

A situation can be modeled by exponential functions when the change is a multiplication or a division, not a sum or subtractions.

In this question:

In option A, C and D the measures are a sum or subtractions, as the rate of change is always the same. So it rests option B as the answer, as tripling is multiplying by 3.

Answer:

32 homes

Step-by-step explanation:

To get the amount of homes with a pool, simply do

HOMES * 0.40

So 80x0.4 = 32 homes with a pool

Answer:

28 apples and 22 peaches

Step-by-step explanation:

<3

Answer:

I think it is 2 one

Step-by-step explanation:

Answer:

G) y ≥ 1

Step-by-step explanation:

Range is all the y-values seen on the graph.

Since it starts at (0, 1), the lines just keep increasing so:

y ≥ 1

Answer:

x³/4z²

Step-by-step explanation:

Invert and multiply:

48x^5y²/12z^5 x z³/16x²y²=

(48x^5y²)(z³)/(16x²y²)(12z^5)

the y² cancel out

48÷16=3 (on top)

x^5÷x²=x³

12z^5/z³=z²(on bottom)

This leaves a 3x³ on top and 12z² on the bottom.  3÷12=4 (on bottom):

3x³/12z²

x³/4z²