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____ [38]
2 years ago
14

Camilla baked 15 cookies with 3 scoops of flour. How many scoops of flour does Camilla need in order to bake 20 cookies? Solve u

sing unit rates.
Mathematics
1 answer:
omeli [17]2 years ago
7 0

Answer:

camilla needs 4 scoops of flow because 3 is related to 15 bc "5x3=15" and that gives us to only need 1 more cup to get 20 cookies

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When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 55 bat
aleksley [76]

The probability of accepting this shipment is 98%.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Almost all such shipments will be accepted because the probability of having a sample with more than 3 defective batteries is very low.

The shipment will be accepted if at most 3 batteries don't meet specifications.

This can be modeled as a binomial distribution, where the sample size is n=55 and the probability of not meeting the specifications of any battery is p=0.02.

The shipment will be accepted if D ≤ 3.

The probability of this event is:

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P(D=X) = n!/(x!(n-x)!) pˣ(1-p)ⁿ⁻ˣ

P(D=0) = 55!/(0!(55-0)!) 0.02⁰(1-0.02)⁵⁵⁻⁰ = 1× 1 × 0.32 = 0.32

P(D=1) = 55!/(1!(55-1)!) 0.02¹(1-0.02)⁵⁴ = 54 × 0.02 × 0.33= 0.35

P(D=2) = 55!/(2!(55-2)!) 0.02²(1-0.02)⁵³ = 55 ×27 × 0.0004 × 0.34= 0.20

P(D=3) = 55!/(3!(55-3)!) 0.02³(1-0.02)⁵² = 25740× 0.0000008 × 0.35= 0.07

Then,

P( D ≤ 3) = P(D=0) + P(D=1) + P(D=2) + P(D=3)

P( D ≤ 3) = 0.32 + 0.35 + 0.20 + 0.07

P( D ≤ 3) = 0.98

Hence, the probability of accepting this shipment is 98%.

To learn more about the probability from the given link

brainly.com/question/24756209

#SPJ1

4 0
1 year ago
Determine the area of the composite figure to the nearest whole number.
olya-2409 [2.1K]

Step-by-step explanation:

Area of rectangle= l×b

= 4cm×6cm

= 24cm²

Area of circle. = πr²

radius of circle = diameter÷2=6÷2=3cm

Area of circle. = 3.14×3²=3.14×9

Area of circle. = 28.26cm²

area \: of \: composite \: figure = area \: of \: circle \:  + area \: of \: rectangle

Area of........... = 28.26cm²+24cm²

= 52.26cm²

PLEASE MARK BRAINLIEST.

7 0
3 years ago
Read 2 more answers
At a restaurant, servers keep 75% of the tips from each table, and support staff keeps 25%. A $20 tip is left at a table. How mu
Vera_Pavlovna [14]
The answer is $15
75% of 20 is 15
7 0
3 years ago
Read 2 more answers
How to do Area of this figure?
stellarik [79]

Answer:

I don't want to do the problem for you but

Step-by-step explanation:

First you have to divide the figure into 2 parts. Then, you find the area of both the rectangles. You will also have to subtract the 8 from 12 which is 4 and after that you can subtract 5 from 18 because in a rectangle the opposite sides are the same. After you do those step you find the area of the rectangles.

Formula: Area= base * height

After you have to add both of the area up.

And that it!!

Hope this helps!! :)

3 0
3 years ago
Please help! i need to find the mean
irina1246 [14]

Answer:

<h3>          The mean is 3.74</h3>

Step-by-step explanation:

\overline x =\dfrac{-3\cdot4+(-2)\cdot2+3\cdot1+4\cdot1+6\cdot4+8\cdot7}{4+2+1+1+4+7}\\\\\\\overline x =\dfrac{-12-4+3+4+24+56}{19}\\\\\\\overline x =\dfrac{71}{19}=3.7368421....\approx3.74

7 0
3 years ago
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