You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. the study is reported with 90% confidence level. explain how to determine if 48.8 is within the confidence interval.

Answer:

I graphed it on desmos:

Answer:

$ 142100

Step-by-step explanation:

Profit is the difference between the revenue and the cost

        P(x) = R(x) - C(x)

                = 820x - x² - (2300 + 60x)

                = 820x - x² - 2300 - 60x

                = -x² + 820x - 60x - 2300

         P(x) = -x² + 760x - 2300

a =  -1   ; b = 760  and c = -2300

       [tex]\sf \boxed{P_{max} = c - \dfrac{b^2}{4a}}[/tex]

                  [tex]\sf = -2300 - \dfrac{760^{2}}{4*(-1)}[/tex]

                  [tex]\sf = -2300 +\dfrac{577600}{4}\\\\ = -2300 + 144400\\= 142100[/tex]

[tex]\sf \boxed{P_{max}= \$ 142100}[/tex]

The 16% of these students are taller than 66.7 inches and 285 students are between 61.6 and 68.4 inches tall.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

Mean of 65 inches and a standard deviation of 1.7.

From the graph:

P(X> 66.7) = (13.5 + 2.35 + 0.15)%

P(X> 66.7) = 16%

P(61.6 < X < 68.4) = (13.5 +34 + 34 + 13.5)%  = 95%

= (300×95)/100

= 285 students

Thus, the 16% of these students are taller than 66.7 inches and 285 students are between 61.6 and 68.4 inches tall.

Learn more about the normal distribution here:

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Answer:

-6/4

Step-by-step explanation:

equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4

Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

Answer:

Step-by-step explanation:

This sounds like a Pythagoras theorem question. So what I would do is 18^2 - 10^2= Ans

Then square root the answer

Answer: the answer is 15

Answer:

8.6 × 10-9

Step-by-step explanation:

Answer:

18.7 units

Step-by-step explanation:

Diagonal² = 1² + 1²

                 = 2

[tex]\sf diagonal = \sqrt{2} = 1.41\\[/tex]

Perimeter = 3 + 3 + 9 *1.41

                =  3 + 3 + 12.69

                = 18.7 units

Answer:

B

Step-by-step explanation:

The answer is B as this is a simple ration question.

All you need to do is convert the question into ration fraction form:

24/60 =x/1990

x is the number of people whose favourite ice-cream is chocolate.

Do cross multiply on both sides and you will get 47760=60x.

x= 796.

Thus, you get your answer.

Answer:

x = 5

Step-by-step explanation:

5 - 3x = - 10

Subtract 5 from both sides:

5 - 5 - 3x = -10 - 5

-3x = -15

Divide -3 by both sides:

-3x/-3 = -15/-3

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer: I'm a fourth grader Here's my answer One degree

I hope This helps and yes It will make sense because Each on line is one degree and I got A test And it was right Any questions just type In the comments

Answer:

Step-by-step explanation:

(d). V ≈ 3016

S.A. ≈ 2261

Answer:

It's a right triangle ..

Step-by-step explanation:

By using Pythagoras theorem , we can know that it's a right angled triangle or not ..

so , H² = P² + B²

=> 34² = 16² + 30²

=> 1,156 = 256 + 900

=> 1,156 = 1,156

Hence , it's a right triangle

Answer:

97%

Step-by-step explanation:

Answer:

  7 cm

Step-by-step explanation:

The circumference of a circle is given in terms of its radius by the formula ...

  C = 2πr . . . . where r represents the radius

__

Using the given values in the formula, we can find the radius to be ...

  C/(2π) = r

  43.96/(2×3.14) = r = 7 . . . . cm

The radius of the circle is 7 cm.

Answer: Skelatal and respiratory because bones show up all over the human body.

Step-by-step explanation:

Answer:

C. Nervous system / Circulatory system

Answer:

39.25

Step-by-step explanation:

Area of circle is pi(3.14) times r^2.

Semi means half

So 3.14 times 5^2 = 78.5

Its a semi ciricle so its 78.5/2 which is 39.25

If you catch 3.33 frogs. Then the number of the frogs that were caught by your friend will be 16.67.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You and your friend got 20 frogs and your friend caught 5 times more.

Let you catch x frogs. Then the number of the frogs that were caught by your friend will be 5x.

x + 5x = 20

     6x = 20

       x = 3.33

More about the linear system link is given below.

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Let you caught x and friend caught 5x

Now

5x=16.67

The correct value of z in this figure is 190⁰

The image given in this question is of a circle. To solve it, let's calculate it as an equation of the first degree.

– First, let's: add the data that are on the circle and equate the equality as 360⁰, which is the value of the degree of a circle.

145 + 24 + z = 360⁰

– Now, let's: add the natural terms to each other. And finally, we'll isolate z and subtract 360⁰ by the number that's left.

145 + 24 + z = 360⁰

170 + z = 360⁰

z = 360⁰ - 170

z = 190⁰

So, the value of z, will be 190⁰

Length be x

width be x-5

So

Area=Length×Breadth

Or

If x turned y

Option C

Option A can be true as per commutatI've property

Option B is true

Answer:

y² - 5y = 750

750 - y(y - 5) = 0

(y + 25)(y - 30) = 0

Step-by-step explanation:

Formula

Area of a rectangle = length × width

Given:

Substituting the given values into the formula and rearranging in different way:

Equation 1

⇒ 750 = y(y - 5)

⇒ y(y - 5) = 750

⇒ y² - 5y = 750

Equation 2

⇒ 750 = y(y - 5)

⇒ 750 - y(y - 5) = 0

Equation 3

⇒ 750 = y(y - 5)

⇒ y(y - 5) - 750 = 0

⇒ y² - 5y - 750 = 0

⇒ y² - 30y + 25y - 750 = 0

⇒ y(y - 30) + 25(y - 30) = 0

⇒ (y + 25)(y - 30) = 0

Answer:

(2x−3z)(3y−1)

Step-by-step explanation:
6xy-2x+3z-9zy
2x(2xy-1)+3z-9zy
2x(-1+3y)+3z(1-3y)

(2x−3z)(3y−1)

Answer:

25.9

Step-by-step explanation:

So calculate volume of the mold, which is a cone: (pi) r2 (h/3) where r is radius and h is height

So diameter/2 = r which is 1.5 in

h = 2 in

V = (3.14)(1.52)(2/3) = 4.71 in3

If 1 in3 = 0.55 oz, and 1 mold = 4.71 in3, then one mold = 2.59 oz

2.59 oz * 10 cupcakes = 25.9 oz total

Step-by-step explanation:

the volume of a cone is

pi×r² × h/3

the radius is always half of the diameter, so, it is here

12/2 = 6 in.

h = 10 in.

so, we have here

pi×6²×10/3 = 3.14 × 36 × 10/3 = 3.14×120 = 376.8 in³.

2 cupcakes have then

376.8 × 2 = 753.6 in³

1 in³ = 0.55 ounces

so, the weight of 2 such cupcakes is

0.55 × 753.6 = 414.48 ounces ≈ 414.5 ounces

The range is found by subtracting the smallest data value from the largest data value. Here, the smallest data value is 2.5 and the largest is 9.3. Therefore, the range is:

[tex]9.3 - 2.5 = 6.8[/tex]

Therefore, the answer is Option A.

Just for extra.

1. The steps that follow are also needed for finding the standard deviation. Start by writing the computational formula for the variance of a sample:

[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1}[/tex]

2. Create a table of 2 columns and 14 rows. There will be a header row and a row for each data value. The header row should be labeled with x and x^2. Enter the data values in the x column, with each data value in its own row. In the second column, put the square of each of the data values, x^2.

x     y

8.2 67.24

3.1 9.61

5.9 34.81

2.5 6.25

6.2 38.44

5.1 26.01

7.6 57.76

9.3 86.49

8.1 65.61

7.4 54.76

7.8 60.84

6.5 42.25

8.7 75.69

3. Find the sum of all the values in the first column, [tex]{\sum}{x}[/tex].

[tex]\sum{x} = 86.4[/tex]

4. Square the answer from step 3, then divide that number by the size of the sample.

[tex]\frac{({\sum}{x})^2}{n} = \frac{7464.96}{13} = 574.22769230769[/tex]

5. Find the sum of all the values in the second column, [tex]{\sum}{x^2}[/tex].

[tex]{\sum}{x^2} = 625.76[/tex]

6. Subtract the answer in step 4 from the answer in step 5.

[tex]{\sum}{x^2} - \frac{({\sum}{x})^2}{n} = 625.76 - 574.22769230769 = 51.532307692308[/tex]

7. Divide the answer in step 6 by n - 1, one less than the size of the sample. This answer is the variance of the sample.

[tex]{s^2}= \frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n-1} = \frac{ 51.532307692308 }{12} = 4.294358974359[/tex]

To find the standard deviation, first write the computational formula for the standard deviation of the sample.

[tex]{s}= \sqrt{\frac{{\sum}{x^2} - \frac{({\sum}{x})^2}{n}}{n - 1}}[/tex]

Take the square root of the answer found in step 7 above. This number is the standard deviation of the sample. It is symbolized by [tex]s[/tex]. Here, we round the standard deviation to at most 4 decimal places.

[tex]{s} = \sqrt{4023.0714285714} = 63.4277[/tex]

Answer:

$2552

Step-by-step explanation:

First you have to find Justin's monthly salary.  You do this by dividing his annual salary by 12 months.  48000/12 = 4000  This means Justin makes $4000 each month.  Next we have to find what 5% of that is, in order to know how much his retirement plan contribution costs.  To do this you divide 4000 by 100 to know how much 1% of his monthly salary is, and then you multiply that by 5 to know how much 5% of his monthly salary is.  4000/100 = 40  40x5 = 200 .We now know his retirement plan contribution each month costs $200.  Now we need to know how much to subtract from his monthly salary to get his net pay for the month.   We can do this by adding all of his monthly expenses together and then subtracting that total from 4000.  650+248+350+200 = 1448  4000-1448 = 2552  Justin's net pay for the month is $2552  

Answer:

solution

here;

answer D

Step-by-step explanation:

Answer:

The arrow points to the left, the arrow points to the right, and there is a closed circle on 2 8/9

Step-by-step explanation:

I hope this helps!!

If Liza takes 120 steps, then the number of steps taken by Pete will be 72.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.

Then the relation between is given as

4 Pete → 4 Lulu

5 Lulu → 4 Liza

Then we have

[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow \dfrac{5}{3} \ Lulu \rightarrow 4 \ Liza[/tex]

If Liza takes 120 steps, then the number of the step taken by Pete will be

[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow 4 \times 120 \\\\Pete \rightarrow 72[/tex]

More about the ratio and the proportion link is given below.

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Answer: C. 20 inches

Step-by-step explanation:

perimeter= 2 x (4+6)=20 inches