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ZanzabumX [31]
3 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]3 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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How are the commutative property of addition and multiplication alike?
Natasha_Volkova [10]

Answer:

Simply put, the <u>commutative property of multiplication means that no matter how you order the numbers you are multiplying, you will get the same answer</u>. Addition also <em>shares the commutative property with multiplication, whereas division and subtraction do not</em>.

Explanation:

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Most familiar as the name of the property that says "3 + 4 = 4 + 3" or "2 × 5 = 5 × 2", the property can also be used in more advanced settings.

4 0
3 years ago
Which measurement is the best estimate for the height of a kitchen counter?
Schach [20]
4. 0.9m

Explanation:
0.9mm is smaller than a lego counter top.

0.9cm is a Lego counter top, actually 0.9cm is still probably smaller.

0.9 kilometers is 900 meters so uh… 2700 ft tall? I don’t think your counter top is taller than Godzilla.
6 0
3 years ago
The simplest form, the ratio 3.5kg:800g
I am Lyosha [343]
3.5 : 8
3.5/8
7/16
7 : 16
3 0
3 years ago
What is area of this
nata0808 [166]

Answer:

A = 20.5 sq units

Step-by-step explanation:

you have the height of 5 but need to figure out the base

we can use the Pythagorean Theorem two times to find it

1) a² + 5² = 7²

a² = 49-25

a = \sqrt{24} = \sqrt{4}·\sqrt{6} = 2\sqrt{6}

2) b² + 5² = 6²

b² = 36-25

b = \sqrt{11}

Base = 2\sqrt{6} + \sqrt{11}

A = 1/2 x 5· (2\sqrt{6} + \sqrt{11})

A = 2.5 · (2\sqrt{6} + \sqrt{11})

A = 2.5(8.2)

A = 20.5

3 0
3 years ago
Complete the ratio so it is equal 5/4= ?/16
Makovka662 [10]
\frac{5}{4} =  \frac{?}{16}

Switch sides:

\frac{?}{16} = \frac{5}{4}

find least common  multiplier of 16, 4

Prime factorization  of 16 = 4²

Prime factorization  of 4 = 2²

LCM = 16

Multiply by LCM

\frac{?}{16} *16= \frac{5}{4}*16

? = 20

hope this helps!
8 0
4 years ago
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