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ZanzabumX [31]
2 years ago
7

The total snowfall per year in Laytonville is normally distributed with mean 99 inches and standard deviation 14 inches. Based o

n the Empirical Rule, what is the probability that in a randomly selected year, the snowfall was less than 127 inches
Mathematics
1 answer:
Sergio039 [100]2 years ago
3 0

Answer: Required probability is 0.9772.

Step-by-step explanation:

Since we have given that

Mean = 99 inches

Standard deviation = 14 inches

It is normally distributed.

We need to find the probability that in a randomly selected year, the snowfall was less than 127 inches.

As we know that

z=\dfrac{X-\mu}{\sigma}

So, it becomes,

P(X

Hence, required probability is 0.9772.

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Which expression is equivalent to the equation?
IrinaK [193]

Answer:

Option 1

Step-by-step explanation:

The given equation equals 3072, so find the other equation that equals 3072.

Option 1 = 3072 - correct

Option 2 = 432 - wrong

Option 3 = 2883 - wrong

Option 4 = 432 - wrong

I hope this helps!

4 0
1 year ago
Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighb
Greeley [361]

Answer:

15d + 50 = 125

15d = 75

5 days

Step-by-step explanation:

Her total must equal $125.

She has $50 so far.

50 + _____ = 125

In the blank, we will put what she will earn by walking the dogs.

Each day she will earn $15. In d number of days, she will earn 15d.

The equation is:

50 + 15d = 125

15d + 50 = 125

We can subtract 50 from both sides to get

15d = 75

Now we solve the equation to find the number of days.

We divide both sides by 15.

15d/15 = 75/15

d = 5

She will need to walk the dogs for 5 days.

5 0
2 years ago
Libby sold $60 worth of vegetables at the farmer's market. Jess sold 3/4ths of what Libby sold. Stephanie sold 1/3rd of what Jes
Gemiola [76]

Answer:

$120.

Step-by-step explanation:

We have been given that Libby sold $60 worth of vegetables at the farmer's market.

Jess sold 3/4th of what Libby sold. Let us find 3/4 of 60.

\text{Jess sold}=60\times \frac{3}{4}

\text{Jess sold}=15\times 3

\text{Jess sold}=45

Therefore, Jess sold $45 worth of vegetables.

We are told that Stephanie sold 1/3rd of what Jess sold. So let us 1/3rd of 45.

\text{Stephanie sold}=45\times \frac{1}{3}

\text{Stephanie sold}=15

Therefore Stephanie sold $15 worth of vegetables.

Now let us add amounts of money earned by Libby, Jess and Stephanie to get the total money earned by all.

\text{The total money earned by Libby, Jess and Stephanie}=60+45+15

\text{The total money earned by Libby, Jess and Stephanie}=120

Therefore, they all sell $120 worth of vegetables together.

7 0
2 years ago
Read 2 more answers
What is the completely factored form 8x2-50y2?
lorasvet [3.4K]
Remember
a²-b²=(a-b)(a+b)

8x²-50y²
2(4x²-25y²)
(2)([2x]²-[5y]²)
2(2x-5y)(2x+5y)
7 0
2 years ago
Compare A and B if 70% of A is equal to $0.7a and 35% of B is equal to $0.35a
MrRa [10]

Answer:

A=B

Step-by-step explanation:

Equation 1: 70% of A = 0.7a

Equation 2: 35% of B = 0.35a

Equation 3 = (Equation 2) • 2

Equation 3: 70% of B = 0.7a

Equation 3 = Equation 1

A = B

3 0
2 years ago
Read 2 more answers
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