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Alenkinab [10]
3 years ago
14

How to convert 5x^2-60x+200 to vertex form?

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0
Y=a(x-h)^2+k 

is what vertex form look like. (h,k) is your vertex so in this problem your vertex would be (60,200) 
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Find the surface area of the prism.
LenKa [72]

Answer:

108

Step-by-step explanation:

triangles of the sides 3×4=12

5×8=40

4×8=32

3×8=24

add everything

6 0
3 years ago
Help me plz snsnsns sn
Amiraneli [1.4K]

Answer:

If the exponent is 0 the answer is 224/y^2

Step-by-step explanation:

6 0
2 years ago
Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p
garik1379 [7]

Answer:

  • <em>m</em> = \frac{1}{20}
  • <em>μ</em> = 20
  • <em>σ </em>= 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.

The decay parameter is, <em>m</em>.

The probability distribution function of an Exponential distribution is:

f(x)=me^{-mx}\ ;\ m>0, x>0

<u>Given</u>: The decay parameter is, \frac{1}{20}

<em>X</em> is defined as the distance people are willing to commute in miles.

  • The decay parameter is <em>m</em> = \frac{1}{20}.
  • The mean of the distribution is: \mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20.
  • The standard deviation is: \sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20

Compute the probability that a person is willing to commute more than 25 miles as follows:

P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0
3 years ago
What is the solution of the equation 1.6m - 4.8 = -1.6m
Flauer [41]
Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer:  m ≈ 1.5
6 0
3 years ago
Estimate the sum or difference.<br> 7/8-1/5
finlep [7]

Answer:27/40

Step-by-step explanation:

7/8-1/5  

35/40-8/40=27/40

5 0
3 years ago
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