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damaskus [11]
4 years ago
7

The life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. What is the

probability that a battery you buy lasts at most 100 hours? Standardize the variable.
Mathematics
1 answer:
Katyanochek1 [597]4 years ago
7 0

Answer:

x = 100 is equivalent to z = -1.75

Step-by-step explanation:

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an element with a mass of 540 grams decays by 17.9% per minute to the nearest tenth of a minute how long will it be until there
STatiana [176]

Answer:

It'll take approximately 9.1 minutes

Step-by-step explanation:

The decay of this element can be modeled by the following expression:

m(t) = 540*(1 - 0.179)^t

Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.

90 = 540*(0.821)^t

(0.821)^t = 90 / 540

(0.821)^t = 1/6

ln(0.821^t) = ln(1/6)

t*ln(0.821) = ln(1) - ln(6)

t*ln(0.821) = - ln(6)

t = -ln(6)/ln(0.821) = 9.08452

It'll take approximately 9.1 minutes

7 0
3 years ago
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88.98 to the nearest tenth​
natita [175]

Answer:

89 is the answer

Step-by-step explanation:

88.98

= 89

3 0
3 years ago
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Need help don’t know what I’m doing
docker41 [41]
This problem mean you have to find the point that the Domain and Range is suit (I'm sorry English is my second language) 
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1) G ; 2) Y
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3 years ago
Paul is spreading grass seed on an area of his lawn that is 10 feet wide and 12 feet long.
Alex17521 [72]

Answer:

8 bags, but will have some extra.

Step-by-step explanation:

The area of the lawn is 120 square feet, and 15 x 8 =124.

5 0
3 years ago
Valerie is going to use SAS to prove that triangle VWX is congruent to triangle YZX, which of these is a necessary dye in Valeri
Archy [21]

You are correct in selecting choice A as the answer.

You need the middle angles between the two pairs of given congruent sides, so that you can prove the triangles to be congruent through SAS. The vertical angle theorem is used in this case. Alternate interior angles only come from parallel lines, but we dont know if any of the lines are parallel. Even if we did know the lines were paralle, we still wouldn't use the alternate interior angle theorem.

8 0
4 years ago
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