The public relations officer for a particular city claims the average monthly cost for childcare outside the home for a single child is $600. A potential resident is interested in whether the claim is correct. She obtains a random sample of 14 records and computes the average monthly cost of this type of childcare to be $589 with a standard deviation of $40. Perform the appropriate test of hypothesis for the potential resident using . Approximate the p-value for the test in (a).

Answer:

[tex]\boxed {\boxed {\sf \$ 1803.80}}}[/tex]

Step-by-step explanation:

We are using the formula I=PRT and calculating simple interest.

[tex]I=PRT[/tex]

I is the interest, P is the principal or starting amount, R is the interest rate as a decimal, and T is the time in years.

We know that there is $1555.00 at 8% for 2 years. First, convert the interest rate to a decimal. Divide the rate by 100 or move the decimal place 2 spots to the left.

Now we know all the values:

Substitute the values into the formula.

[tex]I= (1555.00)(0.08)(2)[/tex]

Multiply.

[tex]I=124.4(2)[/tex]

[tex]I=248.8[/tex]

The account earned $248.80 in interest, but the question asks for the total amount in the account. We must add the interest to the starting amount.

[tex]1555.00 +248.80[/tex]

[tex]1803.8[/tex]

After 2 years, the savings account had $1803.80

Step-by-step explanation:

Principal=P=1555

Rate of Interest=I=8%=0.08

Time=t=2

Interest=I=PRT

➜1555×0.08×2

➜248.8

➜1555+248.8

➜1803.8

Step-by-step explanation:

Given that,

Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.

(a) Cost of c CDs = 12c

Cost of b books = 7b

Cost of p purse = 24p

Total amount = 12c+7b+24p

(b) Cost of 4 CDs = 12(4) = $48

Cost of 3 books = 7(3) = $21

Hence, this is the required solution.

Step-by-step explanation:

The answer is even function.

Answer:

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

To find - What is the probability that the spinner landed on the colors blue and green in any order?

Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

⇒n(S) = 9

Now,

Let A be an event that the spinner landed on the colors blue and green

So,

A = {BG, GB}

⇒n(A) = 2

Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

         = 2 ÷ 9

∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

Answer:

can u zoom into it

Step-by-step explanation:

Answer:

Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3

7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~

Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little weird, just plug (7/3) in for z and you will get 4, trust me

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZz

Answer:

1. a = 14

2. m = 8

3. N/A

4. m = 2

5. N/A

6. n = 0, [tex]\frac{9}{25}[/tex], 0.36

7. x = 27

8. x = 65

Step-by-step explanation:

Answer:

Hope this helps

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ

Answer:

Step-by-step explanation:

A)

exponential ,  b/c it curves upwards

B)

a linear graph with have a constant number of growth, and an exponential, needs that number to change, so that's why the exponent is required.

C)

Maybe a temperature function that could follow the outdoor temp over a few hour period , say in the morning.. as the temp goes up in a linear fashion.

maybe the temp at 8 am would be 50  then at 9 it would be 55 and at 10 it would be 60 and at 11 it could be 65  , something like that seems like it would be a good working example of a linear function that was not chosen

Answer:

Option A , (0, 20); y equals one over eighty times x squared plus 20

Step-by-step explanation:

The equation of parabola is given by  

(X-h)^2 = 4p(Y-k)^2

In this case h = 0

So we get  

Y = X^2/4P +k

Focus point is (h, p+k) , p+k = 40

Hence h, k = (0,20)

P = 40-k = 20

Equation Y = X^2/80 +20

Hence, option A is correct

plz mark brainliest

Answer: A

Step-by-step explanation:

Answer:

$67.20

Step-by-step explanation:

"30% off" translates into multiplying the original price by 1.00 - 0.30, or 0.70.

0.70($96) = $67.20 is the sales price

Answer:

4,000

Step-by-step explanation:

Answer:

C. Saying​ "data vary" means that the values of the variable change from individual to individual. In​ addition, certain variables can change over time for certain individuals. Because data​ vary, two different statistical analysis of the same variable can lead to different results.

Step-by-step explanation:

Variation in data may be explained as the non-uniformity in the values assigned to each individual variable in the data table. As a result of the non-uniformity or differences which exists in the values assigned to individual variables or changes due over time. This will usually lead to differences in the statistical result obtained when data undergoes analysis.

9514 1404 393

Answer:

  A.  15.250

Step-by-step explanation:

The applicable trig function is the cosine function:

  Cos = Adjacent/Hypotenuse

  cos(57°) = y/28

  y = 28×cos(57°) ≈ 15.24989

  y ≈ 15.250 . . . . matches choice A

_____

Additional comment

From your knowledge of "special" triangles, you know that y would be 14 if the angle were 60°. Of course, the length must be shorter than 28, so answer choices B and C are immediately eliminated. The fact that the length is closer to half of 28 than it is to 28 makes choice A look like a pretty good guess.

Answer:

πr2

Step-by-step explanation:

Answer:

i think the answer is

Step-by-step explanation:

πr^2

Answer:

  90 degrees

Step-by-step explanation:

grams is a unit of mass

degrees is a unit of angle measure

milliliters is a unit of volume

inches is a unit of length

With this prism, first separate it into a rectangular prism and a right triangle prism.

First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3

The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.

With this, plug the numbers in for both prisms to get the volume of each of them:

Rectangular prism Volume

5*5*6.3

157.5

Right triangle prism Volume

(3*5*6.3) / 2

94.5 / 2

47.25

Lastly, combine these two values to get the total volume:

157.5 + 47.25 = 204.75 (Round Up) -->

204.8 cm^3 = Total Volume

Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.

First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:

8 * 6.3 = 50.4

Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.

5.8 * 6.3 = 36.54

Then, the top side with the lengths 5cm and 6.3 cm.

5.3 * 6.3 = 33.39

After that, the left side face that opposite to the slantly one:

5 * 6.3 = 31.5

Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:

1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).

So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:

1/2 x (5+8) * (5)

1/2 x (13) * (5)

1/2 x (65)

32.5

Since there's two of them, times this by 2:

32.5 * 2 ---> 65.

Now, with the area of all of the faces, these can be added up for the total surface area:

50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->

216.8 cm^2 = Total Surface Area

Answer:

15 I think

Step-by-step explanation:

Answer:

pumpkin because it got the most sold

Answer:

9

Step-by-step explanation:

Knowing that

pumpkin = 6

Total =

​chocolate cupcakes 2 + ​pistachio cupcakes ​ 1 + ​banana cupcakes ​ 5 +​pumpkin cupcakes ​ 6

Thus, 2 + 1 + 5 + 6 = 14

Cross multiply

[tex]\frac{6}{14}=\frac{x}{21}[/tex]

6 * 21 = 126

126/14 = 9

Hence, next 21 cupcakes sold that will be pumpkin cupcakes will 9 pumpkin cupcake

[RevyBreeze]

Answer:

-4/-5

Step-by-step explanation:

you have to pick 2 numbers from the y row and the x row i picked -7 and 3 and -5 and 0 so first you would do 3-(-7) and that would be -4 and then do -5-0 and that would be -5 then you would put the y/x

Answer:

A. A boxplot of the  data has multiple large outliers.

D. A boxplot of the data shows a very slight skew.

Step-by-step explanation:

A) The normal distribution does not have outliers. The outliers are any point outside the 3σ interval which 99.7% of the data. The 0.3% data would not be outliers.

B) YEs the mean and median of the normal distribution are nearly equal. AS it is asymmetrical.

C) When the sample standard deviation is large the data is spread about the mean. The normal distribution  is flatter and wider

D) The normal distribution is never skewed.If one end is longer then the distribution is not assymmetric and the normal distribution asymmetric meaning half is the mirror reflection of the other half.

So A and D indicate circumstances where he not be safe to use a t procedure.

Answer:

c.25-c/4

Step-by-step explanation:

because all the other expressions are suggesting another equation they said Emma made 25 cookies and gave her mom c so that will be 25-c and then she divided it between her four friends so therefore 25-c,c=the amount she gave her mom,it is unknown so 25-c =the amount remaining after she gave her mom divided by 4

Answer:

a) 0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they last more than 1,000 hours, or they do not. Components operate independently, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has eight identical components, each with a probability of 0.1 of failing in less than 1,000 hours.

So 1 - 0.1 = 0.9 probability of working for more, which means that [tex]p = 0.9[/tex]

a. exactly two of the four components last longer than 1000 hours.

This is P(X = 2) when [tex]n = 4[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.9)^{2}.(0.1)^{2} = 0.0486[/tex]

0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.

b. the subsystem operates longer than 1000 hours.

The subsystem has 8 components, which means that [tex]n = 8[/tex]

It will operate if at least 4 components are working correctly, so we want:

[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]

In which

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.9)^{0}.(0.1)^{8} \approx 0[/tex]

[tex]P(X = 1) = C_{8,1}.(0.9)^{1}.(0.1)^{7} \approx 0tex]

[tex]P(X = 2) = C_{8,2}.(0.9)^{2}.(0.1)^{6} \approx 0[/tex]

[tex]P(X = 3) = C_{8,3}.(0.9)^{3}.(0.1)^{5} = 0.0004[/tex]

Then

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0 + 0 + 0.0004 = 0.0004[/tex]

[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0004 = 0.9996[/tex]

0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.