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kari74 [83]
3 years ago
8

Your turn :will the set of numbers given form a right triangle? 8 meter ,10 meter,12 meter

Mathematics
1 answer:
White raven [17]3 years ago
6 0

Yes! It can!

The 12 meters will be the hypotenuse, the 10 meters can be a side and the 8 meters can be another side.

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Peter reflected parallelogram ABCD across the y-axis. If angle A is 115° and angle B is 65°, what is the degree measurement of a
IgorLugansk [536]
All angle measure is preserved, therefore measure of A' is 115
6 0
3 years ago
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The weight distribution of parcels sent in a certain manner is normal with meanvalue 12 pounds and standard deviation 3.5 pounds
tino4ka555 [31]

Answer:

The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 pounds

Standard Deviation, σ = 3.5 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.99

P( X < x) = P( z < \displaystyle\frac{x - 12}{3.5})=0.99  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 12}{3.5} = 2.326\\\\x = 20.141\approx 20.14  

Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

7 0
3 years ago
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 91 inches, and a standard d
Vesna [10]
The sample std. dev. will be (14 inches) / sqrt(49), or (14 inches) / 7, or 2 inches.

Find the z score for 93.8 inches:
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z = ------------------------------------- = ----------------- = 1.4
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Now find the area under the standard normal curve to the left of z = +1.4.

My calculator returns the following:

normalcdf(-100,1.4) = 0.919.  This is the probability that the mean annual precipitation during those 49 years will be less than 93.8 inches.
 
4 0
3 years ago
What are the solutions of the following system x2+y2=25 , 2x+y=-5
tia_tia [17]
Y=5-2x
x^2 + (5-2x)^2 = 25

x^2 + 25-20x+4x^2 = 25

x^2 +4x^2-20x+25=25
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x=0 and y=5
6 0
3 years ago
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Expand (4x-3y)^4 using pascal's triangle ...?
jenyasd209 [6]
Using row 4: 

<span>coefficients are: 1, 4, 6, 4, 1 </span>

<span>a^4 + a^3b + a^2b^2 + ab^3 + b^4 </span>

<span>Now adding the coefficients: </span>

<span>1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4 </span>

<span>Substitute a and b: </span>

<span>a = 4x </span>
<span>
b = -3y </span>

<span>1(4x)^4 + 4(4x)^3(-3y) + 6(4x)^2(-3y)^2 + 4(4x)(-3y)^3 + 1(-3y)^4 </span>

<span>Now simplify the above: </span>

<span>256x^4 - 768x^3y + 864x^2y^2 - 432xy^3 + 81y^4 </span>
8 0
3 years ago
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