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Ierofanga [76]
3 years ago
14

Write the equation in slope intercept form. Then, match the equation with the correct graph.

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

Graph A:  y = (1/2)x - 2

Step-by-step explanation:

2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2

The slope of this line is 1/4 and the y-intercept is -2.  This is represented by Graph A.

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A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict
dlinn [17]

Answer:

P(x\geq 17)=0.00128

Step-by-step explanation:

The probability that the man gets x out of 20 correct follows a Binomial distribution, so the probability is calculated as:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

Where n is the number of identical experiments and p is the probability of success. In this case n is 20.

Additionally, if he has no ESP the probability that he predict correctly is 0.5, because he is only guessing.

Then, the probability that he gets x out of 20 correct is equal to:

P(x)=\frac{20!}{x!(20-x)!}*0.5^{x}*(1-0.5)^{20-x}

Therefore the probability that he would have done at least 17 out of 20 well if he had no ESP is:

P(x\geq 17)=P(17)+P(18)+P(19)+P(20)\\

Where:

P(17)=\frac{20!}{17!(20-17)!}*0.5^{17}*(1-0.5)^{20-17}=0.00108719\\P(18)=\frac{20!}{18!(20-18)!}*0.5^{18}*(1-0.5)^{20-18}=0.00018119\\P(19)=\frac{20!}{19!(20-19)!}*0.5^{19}*(1-0.5)^{20-19}=0.00001907\\P(20)=\frac{20!}{20!(20-20)!}*0.5^{20}*(1-0.5)^{20-20}=0.00000095

So, P(x\geq 17) is equal to:

P(x\geq 17)=0.00108719+0.00018119+0.00001907+0.00000095\\P(x\geq 17)=0.00128

8 0
3 years ago
Calculation without distribution
Viefleur [7K]

Answer:

$2.69

Step-by-step explanation:

The prices of the 3 books are:

$2.50, $4.95, $6

The total is $2.50 + $4.95 + $6 = $13.45

The sale is 20% off.

20% of $13.45 =

= 0.2 * $13.45

= $2.69

Answer: You will save $2.69.

7 0
3 years ago
A net of a three-dimensional figure is shown. What is the surface area of the three-dimensional figure?
deff fn [24]

Answer:

184 ft^2

Step-by-step explanation:

in the picture

7 0
3 years ago
Read 2 more answers
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
denis23 [38]

Answer:

17 units

Step-by-step explanation:

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

Plug in the points and simplify:

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

d = \sqrt{(-8 - 7)^2 + (0-8)^2}

d = \sqrt{(-15)^2 + (-8)^2}

d = \sqrt{225 + 64

d = \sqrt{289

d = 17

So, the distance between the points is 17 units

7 0
3 years ago
For whoever can find out the answer for me i will mark as brainliest. and it would also be greatly appreciated! :)
FromTheMoon [43]

f(x) = { x if x < 4; -x+1 if x ≥ 4.

5 0
3 years ago
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