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seropon [69]
3 years ago
7

Subtract 6x^2-5x+3 from (3x^2+8x-4)

Mathematics
1 answer:
Art [367]3 years ago
8 0
3x^2 + 8x - 4 - (6x^2 - 5x + 3)....distribute thru the parenthesis
3x^2 + 8x - 4 - 6x^2 + 5x - 3 .....combine like terms
-3x^2 + 13x - 7 <==
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Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and th
Marizza181 [45]

Answer:

\mu = 8.8\\\sigma = 1.9

Now we are supposed to find probabilities that the response time is between 5 and 10 minutes i.e P(5<x<10)

Formula : z= \frac{x-\mu}{\sigma}

at x = 5

z= \frac{5-8.8}{1.9}

z=-2

at x = 10

z= \frac{10-8.8}{1.9}

z=0.6315

P(-2<z<0.6315)=P(z<0.6315)-P(z<-2)

Refer the z table

P(-2<z<10)=0.7357-0.0228=0.7129

So, the probability that response time is between 5 and 10 minutes  is 0.7129

b)the response time is less than 5 minutes

at x = 5

z= \frac{5-8.8}{1.9}

z=-2

P(x<5)=P(z<-2)=0.0228

So, the probability that  the response time is less than 5 minutes is 0.0228

c)the response time is more than 10 minutes

at x = 10

z= \frac{10-8.8}{1.9}

z=0.6315

P(x>10) = 1-P(x<10) = 1-P(z<0.63) = 1-0.7357 = 0.2643

So, The probability that  the response time is more than 10 minutes is 0.2643

4 0
3 years ago
the vertex of parabola is (-2,-3).when the y-value is -2 , the x-value is -5. what is the coefficient of the squared expression
Fantom [35]

The coefficient of the squared expression is 1/9

<h3>How to determine the coefficient of the squared expression?</h3>

A parabola is represented as:

y = a(x - h)^2 + k

Where:

Vertex = (h,k)

From the question, we have:

(h,k) = (-2,-3)

(x,y) = (-5,-2)

So, the equation becomes

-2 = a(-5 + 2)^2 - 3

Add 3 to both sides

1 = a(-5 + 2)^2

Evaluate the sum

1 = a(-3)^2

This gives

1 = 9a

Divide both sides by 9

a = 1/9

Hence, the coefficient of the squared expression is 1/9

Read more about parabolas at:

brainly.com/question/4061870

#SPJ1

7 0
2 years ago
Mathew’s mom asked him to go to the store for her. To get to the store he walked seven blocks. He caught the bus and rode 13 blo
SVETLANKA909090 [29]

7+13+1.5=21.5

If he did it again the way back, it's 21.5 times 2.

He went a total of 43 blocks.

6 0
3 years ago
Read 2 more answers
Find the measure of the angle indicated
Fudgin [204]
The most specific name is trapezoid
4 0
3 years ago
Please help me please
anastassius [24]

Answer:

please make it a bit clear can see properly

Step-by-step explanation:

4 0
3 years ago
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