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Romashka [77]
2 years ago
10

Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60

cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 15.9 and a standard deviation of 1.8. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? <μ<
Enter your answers accurately to one decimal place.
Mathematics
1 answer:
Umnica [9.8K]2 years ago
4 0

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

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The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of t
Levart [38]

Hey there! I'm happy to help!

We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.

2(3)+2(5)

6+10

16

How can we get this 16 to 64?

64/16=4

So, we need to multiply this length and width by four to get 64 as our perimeter!

3*4=12

5*4=20

We can plug this into our perimeter equation

2(12)+2(20)

24+40

64

Therefore, our length is 12 and our width is 20.

Have a wonderful day! :D

5 0
3 years ago
How do I find the surface area of this triangular prism? please help me!!
Illusion [34]
Find the area of all the sides:
10 x 9 = 90
9 x 8 = 72
1/2 x 6 x 8 = 24
1/2 x 6 x 8 = 24
6 x 9 = 54

Add them up:
90 + 72 + 24 + 24 + 54 = 264 square metres
8 0
4 years ago
Read 2 more answers
What can you say about the quotient, when you divide 23 by something equal to 1?
Gwar [14]

Answer: the quotient will be equal to 23

The equation to calculate what divided by 23 equals 1 is as follows:

X/23 = 1

Where X is the answer. When we solve the equation by multiplying each side by 23, you get get:

X = 23

Therefore, the answer to what divided by 23 equals 1 is 23

so the quotient will be equal to 23

Step-by-step explanation:

8 0
3 years ago
If m A= m B and m A+mC = D, then
rusak2 [61]

Answer: Substitution

Step-by-step explanation:

Because you know A is equal to B, you can substitute A for B in any mathematical equation. Essentially, you are switching mA $ mB.

3 0
3 years ago
Find the amount of each payment to be made into a sinking fund which earns 5% compounded quarterly and produces S47,000 at the e
Allushta [10]

Answer:

$8,355.555

Step-by-step explanation:

Hello,

This question relates to compound interest and to solve it, we'll need to use the right formula.

C.P = P(1 + r/n)^nt

C.P = compound interest

P = principal

R = rate

N = number of times compounded

T = time

C.P = $47,000

P = ?

R = 5% = 0.05

N = 4

T = 35 years

Substituting the variables into the equation,

47,000 = P (1 + 0.05 / 4) ^ (4 × 35)

47,000 = P (1.0125) ^ 140

47,000 = P × 5.625

Divide both sides by 5.625 and solve for P

P = 47,000 / 5.625

P = $8,355.555

The initial investment was $8,355.555

8 0
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