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Ganezh [65]
4 years ago
13

Karen wants to advertise how many chocolate chips are in each big chip cookie at her bakery. she randomly selects a sample of 69

cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 10.6 and a standard deviation of 1.7. what is the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies? enter your answers accurate to 4 decimal places.
Mathematics
1 answer:
Tomtit [17]4 years ago
8 0

Answer: (10.1989,\ 11.0011)

Step-by-step explanation:

Given : Sample size : n=69

Sample mean : \overline{x}=10.6

Standard deviation : s=1.7

Significance level : \alpha:1-0.95=0.05

Then , Critical value : z_{\alpha/2}=1.96

The formula to confidence interval is given by : -

\overline{x}\pm z_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\\Rightarrow\ 10.6\pm (1.96)\dfrac{1.7}{\sqrt{69}}\\\\\approx10.6\pm0.4011=(10.6-0.4011,10.6+0.4011)=(10.1989,\ 11.0011)

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

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Find the 21st term of the sequence 15,8,1,-6
Alika [10]

Answer:

-125

Step-by-step explanation:

Each term is 7 less than the previous term.

1st term: 15

2nd term: 15 - 7

3rd term: 15 - 7 - 7 = 15 - 2(7)

4th term = 15 - 7 - 7 - 7 = 15 - 3(7)

Notice that each term is 15 minus a multiple of 7. The multiple is obtained by multiplying 7 by 1 less than the term number.

The formula is:

a_n = 15 - 7(n - 1)

For the 21st term, multiply 7 by 20, and subtract from 15.

7 × 20 = 140

15 - 140 = -125

Using the formula:

a_{21} = 15 - 7(21 - 1) = 15 - 7(20) = 15 - 140 = -125

Answer: -125

7 0
3 years ago
Please help me I give you 33 points
Misha Larkins [42]

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2: The text includes a <u>heading</u> and a <u>labeled diagram</u>

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7 0
3 years ago
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
andreyandreev [35.5K]

Answer:

\cos(W) = \frac{9}{41}

Step-by-step explanation:

Given

\angle Y = 90^o

YX = 40; XW = 41; WY = 9

Required

Determine \cos(W)

The question is illustrated with the attached image.

So:

\cos(W) = \frac{Adajacent}{Hypotenuse}

\cos(W) = \frac{WY}{XW}

This gives:

\cos(W) = \frac{9}{41}

3 0
3 years ago
What is the standard deviation of the following data? 52 61 31 44 47 45 25 48 47
Elena-2011 [213]
Standard deviation is calculated by
1. calculate mean, m
2. calculate deviation of EACH entry of data set from the mean, i.e.
d=(x-m)
3. calculate mean of square of deviations (d^2)/n to get variance,v
4. take square-root of variance to get standard deviation.

For example,
To find the standard deviation of data set {3,7,8}
1. mean=(3+7+8)/3=6
2. deviations, di={3-6,7-6,8-6}={-3,1,2}
3. squares of deviations, di^2={9,1,4}
4. mean of squares of deviations=(9+1+4)/3=14/3
Standard deviation=sqrt(14/3)=2.16

For the given data set, if you follow the above steps, you would get
sum=400
mean=400/9
variance (mean square of deviations)=8246/81
standard deviation=sqrt(8246/81)=sqrt(8246)/9


3 0
3 years ago
According to your graphing calculator, what is the approximate solution to the trigonometric inequality
Margaret [11]

Answer:

0<=x<0.7896

im pretty sure

8 0
3 years ago
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