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Elina [12.6K]
2 years ago
12

(05.02 LC)

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
7 0
  • siny=s/8
  • tany=s/t

\\ \tt\longmapsto cosy=\dfrac{siny}{tany}

\\ \tt\longmapsto cosy=\dfrac{s/8}{s/t}

\\ \tt\longmapsto cosy=8/t

  • Secy=1/cosy=t/8
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Answer:thre

Step-by-step explanation:

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Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. ​Lou's car had 5.6
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26.98. You have the following information given in the problem above:

- Lou filled the tank with gas that cost ​$3.80 per gallon.

-   Lou​'s car had 5.9 gallons in the 13​-gallon tank.

2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by ​$3.80.

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Who of the following functions is graphed
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3 years ago
Find the measure of y in the drawing.<br><br> 51°<br> 129°<br> 61°<br> 139°
snow_lady [41]

Answer:

B) y = 129º

Step-by-step explanation:

since a triangle is 180º in total, the you have to subtract 71 and 58 from 180 which will give you 51º which gives you the amount for x

and the line that the triangle is on is also 180º in total, so you subtract the 51 from 180 to give you a total of 129º which is the amount for y

4 0
3 years ago
Read 2 more answers
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
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