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Naddika [18.5K]
3 years ago
15

In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population stand

ard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?
Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

(29.14 ; 30.06)

Step-by-step explanation:

Given that'

Sample size (n) = 57

Mean (m) = 29.6

Population standard deviation (σ) = 2.7

Confidence interval = 80%

= (1 - 0.8) / 2 = 0.1

Mean ± z * σ/√n

Using the Z probability calculator : Z0. 1 = 1.28

Hence,

29.6 ± 1.28 * (2.7 / √57)

29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)

29.142241664 ; 30.057758336

(29.14 ; 30.06)

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Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pou
Bond [772]

Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

a=5

x=8

y=2

5 0
3 years ago
Someone anwser this please​
Arlecino [84]
486/6 = 81
Square root 81 = one side length = 9m volume = 9^3 = 729
3 0
3 years ago
How do you add vectors? Add the vector 3,4 to the vector that goes 7 units at an angle of 2π/3.
Gekata [30.6K]

The sum of two vectors is (- 0.5, 10.1)

<u>Explanation: </u>

To add two vectors, add the corresponding components.

Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.

Then, the sum of u and v is the vector

u +v =⟨u1+v1, u2+v2⟩

(b)

Two vectors = ( 3, 4 )

angle 2π/3 = 120°

In x axis, the vector is = 7 cos 120°

                           = 7 X -\frac{1}{2} \\\\= -3.5

In y axis, the vector is = 7 sin 120°

                                  = 7 X 0.866

                                  = 6.062

The second vectors are ( -3.5, 6.062)

Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]

                              = (- 0.5, 10.1)

6 0
3 years ago
If r is the midpoint of AB and AR=14, then AB=______
skelet666 [1.2K]

Answer:

28

Step-by-step explanation:

The midpoint is halfway, so if half the length is 14 then the full length is 28 (14 × 2 = 28)

Hope this helps!

4 0
3 years ago
Alison bought a video game for $35, which was 35% off the original price. What was the original
Jlenok [28]

Answer: the answer to your question is $57.75

Step-by-step explanation: so first you have to realize that if you have something that is 35 percent off then you have .65 of that thing so you multiply 35 by .65 then you get 22.75 then you add that to 35 for your answer.

3 0
3 years ago
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