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anygoal [31]
3 years ago
6

What is the slope of the line shown below?

Mathematics
2 answers:
Serjik [45]3 years ago
7 0

Answer:

-2/7

Step-by-step explanation:

To find the slope we use the formula

( -4,3) and ( 3,1) are two points on the line

m = ( y2-y1)/(x2-x1)

    = ( 1-3)/( 3 - -4)

    ( 1-3) /(3+4)

     -2/7

Ivan3 years ago
6 0

We can use the points (-4, 3) and (3, 1) to solve.

Slope formula: y2-y1/x2-x1

1-3/3-(-4)

-2/7

Therefore, the answer is C

Best of Luck!

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Find the sum of the following series. Round to the nearest hundredth if necessary,
Aneli [31]

Answer:

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3 0
3 years ago
Given the table of values, determine the base for the exponential function. x y −2 −1 0 1 1 9 2 81
IrinaK [193]

Answer:

81

Step-by-step explanation:

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3 years ago
In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the
earnstyle [38]

Answer:

(a) The probability that at least one of these components will need repair within 1 year is 0.0278.

(b) The probability that exactly one of these component will need repair within 1 year is 0.0277.

Step-by-step explanation:

Denote the events as follows:

<em>A</em> = video components need repair within 1 year

<em>B</em> = electronic components need repair within 1 year

<em>C</em> = audio components need repair within 1 year

The information provided is:

P (A) = 0.02

P (B) = 0.007

P (C) = 0.001

The events <em>A</em>, <em>B</em> and <em>C</em> are independent.

(a)

Compute the probability that at least one of these components will need repair within 1 year as follows:

P (At least 1 component needs repair)

= 1 - P (No component needs repair)

=1-P(A^{c}\cap B^{c}\cap C^{c})\\=1-[P(A^{c})\times P(B^{c})\times P(C^{c})]\\=1-[(1-0.02)\times (1-0.007)\times (1-0.001)]\\=1-0.97216686\\=0.02783314\\\approx 0.0278

Thus, the probability that at least one of these components will need repair within 1 year is 0.0278.

(b)

Compute the probability that exactly one of these component will need repair within 1 year as follows:

P (Exactly 1 component needs repair)

= P (A or B or C)

=P(A\cap B^{c}\cap C^{c})+P(A^{c}\cap B\cap C^{c})+P(A^{c}\cap B^{c}\cap C)\\=[0.02\times (1-0.007)\times (1-0.001)]+[(1-0.02)\times 0.007\times (1-0.001)]\\+[(1-0.02)\times (1-0.007)\times 0.001]\\=0.02766642\\\approx 0.0277

Thus, the probability that exactly one of these component will need repair within 1 year is 0.0277.

7 0
3 years ago
Suppose you have 100 ft of string to rope off a rectangular section for a bake sale at a school Fair. The function A=x^2+50x giv
cupoosta [38]

Answer:

Therefore the width is 25 feet for getting maximum area.

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Step-by-step explanation:

Given function is

A = - x²+50x

We know that ,

If y = ax²+bx+c

For the maximum x=-\frac{b}{2a}

Here a = -1 , b= 50 and c=0

Therefore the width x= -\frac{50}{2.(-1)} = 25

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The maximum area =[ -(25)²+50.25] square feet

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The area can not be negative and maximum area is 625 square feet.

Therefore the range is 0≤A≤625.

5 0
3 years ago
Write this phrase as an expression.<br><br> “25 more than 50”
Brut [27]
25+50 I assume...I mean I could be wrong but what else would it be
6 0
3 years ago
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