please help Jacqueline is a teacher in Alaska, where she contributes 9% of her earnings to her pension. If her earnings for a school year were $42,000, what did she contribute to her pension?

a.) $3,250
b.) $3,560
c.) $3,780
d.) $3,890

will give brainliest

Answer:

The value of the standardized test statistic for this significance test is -1.25.

Step-by-step explanation:

We are given that in a recent poll, 30 percent of adults said they wanted to "cut down or be free of gluten".

The researcher conducts a survey of a random sample of 25 students at her university and five of them say they want to at least reduce gluten.

Let p = population proportion of students wanting to reduce gluten at the university.

So, Null Hypothesis, [tex]H_0[/tex] : p = 30%      {means that the proportion wanting to reduce gluten at the university is the same as for all adults}

Alternate Hypothesis, [tex]H_A[/tex] : p < 30%     {means that a smaller proportion of students would say they want to reduce or be free of gluten}

The test statistics that would be used here One-sample z test for proportions;

                           T.S. =  [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of students who would say they want to reduce or be free of gluten = [tex]\frac{5}{25}[/tex] = 0.20

            n = sample of students taken = 25

So, the test statistics  =  [tex]\frac{0.20-0.30}{\sqrt\frac{0.20(1-0.20)}{25} {} }[/tex]

                                     =  -1.25

The value of standardized z test statistic is -1.25.

Using the z-distribution, it is found that the value of the standardized test statistic for this significance test is:

D) –1.091

At the null hypothesis, we test if the proportion is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is of less than 0.3, that is:

[tex]H_1: p < 0.3[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.3, n = 25, \overline{p} = \frac{5}{25} = 0.2[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.2 - 0.3}{\sqrt{\frac{0.3(0.7)}{25}}}[/tex]

[tex]z = -1.091[/tex]

A similar problem is given at https://brainly.com/question/24166849

Answer:

  y = -7x +8

Step-by-step explanation:

The slope-intercept form of the equation of a line is ...

  y = mx +b

where m represents the slope, and b represents the y-intercept. The y-intercept is the value of y when x=0. Here, you have m=-7 and b=8. Your equation is ...

  y = -7x +8

answer would be A because it u factor it out you will get your initial equation

Answer:

The equation is,

[tex]y = - \frac{4}{3}x - \frac{2}{3} [/tex]

Step-by-step explanation:

When a line is parallel to the other line, they will have the same gradient :

[tex]12x + 9y = 3[/tex]

[tex]9y = - 12x + 3[/tex]

[tex]y = - \frac{12}{9} x + \frac{3}{9} [/tex]

[tex]y = - \frac{4}{3} x + \frac{1}{3} [/tex]

We have already found the gradient. Next, we have to substitute the gradient and coordinates into the slope-form equation, y = mx + b :

[tex]y = mx + b[/tex]

Let m = -4/3,

Let x = -5,

Let y = 6,

[tex]6 = - \frac{ 4}{3} ( - 5) + b[/tex]

[tex]6 = \frac{20}{3} + b[/tex]

[tex]b = 6 - \frac{20}{3} [/tex]

[tex]b = - \frac{2}{3} [/tex]

Answer:

Jumbo burger with fried is 75%

chicken with salad is 65%

Step-by-step explanation:

you first split the burger and sides. You add up the sides to find the salad. Then add up the sides and burgers

Answer:

What is the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwich with a Salad? Make an area or tree diagram to help with the problem.

Answer to question: 20% for Jumbo Burger with Regular Fries and 10.5% for Chicken Sandwich with a Salad.

Step-by-step explanation:

You are going to find the probability that he order a Jumbo Burger with Regular Fries or a Chicken Sandwhich with a Salad by using a area model or a tree diagram. Although you ddin't ask me to solve it, I'm gonna help you with it anyways.

Sandwhiches:

50% - Jumbo Burger (JB)

30% - Chicken Sandwich (CS)

20% - Regular Burger (RB)

Sides:

40% - Curly Fries (CF)

35% - Salad (S)

25% - Regular Fries (RF)

Acronyms

Jumbo Burger (JB) + Curly Fries (CF) = JBCF

Jumbo Burger (JB) + Salad (S) = JBS

Jumbo Burger (JB) + Regular Fries (RF) = JBRF

Chicken Sandwich (CS) + Curly Fries (CF) = CSCF

Chicken Sandwich (CS) + Salad (S) = CSS

Chicken Sandwich (CS) + Regular Fries (RF) = CSRF

Regular Burger (RB) + Curly Fries (CF) = RBCF

Regular Burger (RB) + Salad (S) = RBS

Regular Burger (RB) + Regular Fries (RF) = RBRF

Probability of combinations:

JBCF = 0.5 x 0.4 = 0.20

JBS = 0.5 x 0.35 = 17.5

JBRF = 0.5 x 0.25 = 12.5

CSCF = 0.3 x 0.4 = 12

CSS = 0.3 x 0.35 = 10.5

CSRF = 0.3 x 0.25 = 7.5

RBCF = 0.2 x 0.4 = 8

RBS = 0.2 x 0.35 = 7

RBRF = 0.2 x 0.25 = 5

Your tree diagram should look something like this:

         CF(40%)- outcome - JBCF (20%)

          /  

(50%)JB ---  S(35%)-  outcome - JBS (17.5%)

           \            

           RF(25%)-  outcome - JBRF (12.5%)

         CF(40%)- outcome - CSCF (12%)

          /

(30%)CS ---  S(35%)- outcome - CSS (10.5%)

            \

            RF(25%)- outcome - CSRF (7.5%)

           CF(40%)- outcome - RBCF (8%)

           /

(20%)RB ---  S(35%)- outcome - RBS (7%)

          \

          RF(25%)- outcome - RBRF (5%)

Hope this helps because this took forever :D

Answer:

vertex is: (4,-9)

y intercept= (0,7)

roots= (1,0) and (7,0)

Step-by-step explanation:

so we can use factoring to solve this quadratic equation real quick:

x^2-7x-1x+7

x(x-7)

-1(x-7)

(x-1)(x-7)=0

x-1=0

x=1

x-7=0

x=7

(1,0) and (7,0) are the roots

axis of symmetry: 8/2=4

substitute axsis of symmetry in equation to get vertex:

4^2-8(4)+7

16-32+7

-16+7=-9

vertex is: (4,-9)

y intercept= (0,7)

roots= (1,0) and (7,0)

Hope this helps

Answer:

645

Step-by-step explanation:

it says 645 were inrolled in the fall

Answer:

[2,3)

Step-by-step explanation:

[0,1), [0,1),[0,1),[0,1)

[1,2), [1,2),[1,2),[1,2),[1,2),[1,2),[1,2),[1,2)

[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3),[2,3)

[3,4),[3,4),[3,4),[3,4),[3,4),[3,4),[3,4)

Answer:

2500

Explanation : a meter is 100 centimeters long so you would multiply 25 by 100 to get 2500

Answer: 2,500 centimeters

Step-by-step-Explanation: To convert 25 meters into centimeters, we use the conversion factor for meters and centimeters

which is 100 centimeters = 1 meter.

Next, notice that we're converting from a larger unit, meters, to a smaller unit, centimeters and when we go from a larger unit to a smaller unit, we multiply by the conversion factor.

So we multiply 25 by the conversion factor, 100 which gives us 2,500.

So 25 meters = 2,500 centimeters.

Answer:

A. 5,000 is the value.

Step-by-step explanation:

The 5 is in the thousands place.

Answer:

A

Step-by-step explanation:

It is in the thousands place

Answer:

If Raven's monthly payment were $125, the amount of the loan that she is considering taking out  would be less than $43,205.56.

Step-by-step explanation:

If you think about it this way it may be more simple. If the APR stays constant then a greater payment will result in a greater loan. The opposite is also true meaning a lesser payment will result in a lesser loan. If the amount Raven pays is greater than $145 then the loan will be greater than $43,205.56. If the amount she pays is less than $145 then the loan will be less than $43,205.56. Of the options, only one of these situations will be present. In my case, the correct option was a payment of $125 will result in a lesser loan than $43,205.56.

Answer:

If Raven's monthly payment were $125, the amount of the loan that she is considering taking out  would be less than $43,205.56.

Step-by-step explanation:

Answer:2:1

Step-by-step explanation:

6.5:3.25

6.5/3.25=2/1

6.5:3.25=2:1

therefore n=2

Answer:

Hope this helps pls mark brainliest

Answer:

Step-by-step explanation:

Twice the first equation can be added to the second to eliminate the variable y.

  2(3x -y) +(5x +2y) = 2(0) +(22)

  11x = 22 . . . . . . . the result of the combination

__

Solving this gives ...

  x = 2

Substituting into the first equation gives ...

  3(2) -y = 0

  y = 6

The solution is (x, y) = (2, 6).

Answer:

7cm²

Step-by-step explanation:

Answer:

a) Null hypothesis:[tex]\mu \leq 120[/tex]  

Alternative hypothesis:[tex]\mu > 120[/tex]  

b) [tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]  

The degrees of freedom are given by:

[tex] df = n-1 = 80-1=79[/tex]

The p value for this case taking in count the alternative hypothesis would be:

[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]  

Step-by-step explanation:

Information given

[tex]\bar X=130[/tex] represent the sample mean for the amount spent each shopper

[tex]s=40[/tex] represent the sample standard deviation

[tex]n=80[/tex] sample size  

[tex]\mu_o =120[/tex] represent the value to verify

t would represent the statistic    

[tex]p_v[/tex] represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 120[/tex]  

Alternative hypothesis:[tex]\mu > 120[/tex]  

The statistic for this case would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236[/tex]  

The degrees of freedom are given by:

[tex] df = n-1 = 80-1=79[/tex]

The p value for this case taking in count the alternative hypothesis would be:

[tex]p_v =P(t_{79}>2.236)=0.0141[/tex]  

Explanation:

x = number of pouches

y = cost for having x number of pouches

To find the unit cost, divide y over x

For choices A through D we have the following unit costs

We see that 0.233 is the lowest unit cost, so therefore, Choice C is the lowest cost per pouch.

We have been given that a bicycle wheel has a circumference of 66 inches. We are asked to find the radius of the wheel.

We will use circumference of circle formula to solve our given problem.

[tex]\text{Circumference of circle}=2\pi r[/tex], where r represents radius if circle.

Upon substituting our given values, we will get:

[tex]66=2\cdot 3.14\cdot r[/tex]

[tex]66=6.28\cdot r[/tex]

[tex]6.28\cdot r=66[/tex]

[tex]\frac{6.28\cdot r}{6.28}=\frac{66}{6.28}[/tex]

[tex]r=10.509554[/tex]

Upon rounding to nearest hundredths, we will get:

[tex]r\approx 10.51[/tex]

Therefore, the radius of the wheel is approximately 10.51 inches.

Answer:

Step-by-step explanation:

total = 1 + 2 + 4 + 3 = 10

blue then blue = 2/10 * 2/10 = 1/5 * 1/5 = 1/25

green then red = 4/10 * 3/10 = 12/100 = 3/25

Answer: C electricity

Step-by-step explanation:

It is

Answer:

y = 3x-6

Step-by-step explanation:

y = 3x−5

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

m =3

Parallel lines have the same slope

We have the slope m=3 and a point (2,0)

y = mx+b

y = 3x+b

Substituting the point into the equation to solve for b

0 = 3(2)+b

0 = 6+b

b = -6

y = 3x-6

Answer:

y = 3x - 6

Step-by-step explanation:

Parallel lines have the same slope,

So m = 3

y - 0 = 3(x - 2)

y = 3x - 6

Answer:

The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Prefers swimming on weekends.

Event B: Being female.

25% prefer swimming on weekends

This means that [tex]P(A) = 0.25[/tex]

It is found that 20% of the members in that city prefer swimming on weekends and are female

This means that [tex]P(A \cap B) = 0.2[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2}{0.25} = 0.8[/tex]

The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.

Answer:

The mean will increase, after the outlier is removed.

Answer:

8:35

Step-by-step explanation:

if u see every hour has 60 mins in it, so if u see 7:45 can be said as 7 hours and 49 mins

what u have to do is first add the mins, so add 45 and 50

45+50=95

every hour has 60 mins, so convert the mins to secs

95 mins=1hr35mins

and the 1hr35mins to 7:00

1hr35mins+7hr=8hr35mins or 8:35

A tv program begins at 7:45 and ends 50 minutes later the TV program ends at 8:35.

In math, time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future. Time is used to quantify, measure, or compare the duration of events or the intervals between them, and even, sequence events.

We know that every hour has 60 minutes in it.

In 7:45 it has 7 hours and 45 minutes

The TV program duration is 50 minutes

So, 45+50=95

Now, 95 minutes has 1 hour 35 minutes

Add 1 hour 35 minutes to 7:00

That is, 7 hours + 1 hour 35 minutes

= 8 hours 35 minutes

Therefore, the TV program ends at 8:35.

Learn more about time here:

https://brainly.com/question/15356513.

#SPJ3

Answer:

0.09

because I multiplied...

Answer:

0.09

Step-by-step explanation:

36/ 10 x 25/ 1000 = 18/ 5 x 1/40 = 9/100 = 0.09

Answer:

35%

Step-by-step explanation:

The total number of cinema seats can seat 280 people. Since 98 people take up 98 seats of the cinema, they are taking up 98 cinema seats out of the 280 cinema seats originally available.

As a fraction this would be written as  [tex]\frac{98}{280}[/tex] .

What you want to do is then divide 98 by 280 or 98/280, to get 0.35.

To get the percentage of seats filled, you must multiply the decimal you get by 100.

So it should look like this and your result should be 35%.

[tex]\frac{98}{280} = 0.35 *100=35[/tex]%

Answer:

~ x = 12 centimeters of the route on map ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. We can see that we have to determine the cm of the route on the map, so let us convert the 1.8 kilometers ⇒ centimeters:

1.8 km = 180,000 cm

2. Given the information, let us create a proportionality as such:

      1       =           15,000      ⇒   x - centimeters of the route on the map

      x                   180,000

3. Now let us cross multiply, and solve through simple algebra for x:

15,000 * x = 180,000,

x = 12 centimeters of the route on map

Answer:

(f - g)(x)= - 6 {x}^{2} - 8x + 9

(f - g)(-4!)= - 55

Step-by-step explanation:

[tex]f(x) = - 9 {x}^{2} - 2x, \: \: g(x) = - 3 {x}^{2} + 6x - 9 \\ (f - g)(x) = f(x) - g(x) \\ = - 9 {x}^{2} - 2x - (- 3 {x}^{2} + 6x - 9) \\ = - 9 {x}^{2} - 2x + 3 {x}^{2} - 6x + 9 \\ \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2} - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2} - 8( - 4) + 9 \\ = - 6 \times 16 + 32 + 9 \\ = - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}[/tex]

Answer:

13

Step-by-step explanation:

It should just be 104 divided by 8 which equals=13