y+8=3(x+1) slope intercept form

Answer:

a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) 0.0035 = 0.35% probability of passing.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10 multiple choice questions

This means that [tex]n = 10[/tex]

4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.

This means that [tex]p = \frac{1}{4} = 0.25[/tex]

a) Probability of marking exactly 3 incorrect answers.

3 incorrectly = 7 correctly, so this is P(X = 7).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) Probability of passing

At least 7 correct, so

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

[tex]P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004[/tex]

[tex]P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0[/tex]

[tex]P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0[/tex]

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035[/tex]

0.0035 = 0.35% probability of passing.

Answer:

6.10 for 1 and 4.50 . for 2

Step-by-step explanation:

Answer:1.5 i think i dont know the second question tho

Answer:x= -1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

To multiply 4×5⅜, the mixed number can be broken down into a whole number and a fraction. In this case, that whole number would be 5 and the fraction would be three-eighths. Each of these parts are then multiplied by 4 and the products are added together.

4×5⅜ = 4×(5+⅜)

= 4×5 + 4×⅜

= 20 + 3/2

= 20 + 1½

= 21½

Answer:

Equity is same as equility it is for making students fools.

Step-by-step explanation:

Equity=Equality

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.

Answer:

50%

Step-by-step explanation:

Answer:

129.6$

Step-by-step explanation:

25+95=120

8% of 120 = 9.6

120+9.6= 129.6

Answer:

129.60

total w/o tax- 120

tax- 9.60.

Answer:

Your answer is A

Step-by-step explanation:

The graph of y = f(x) will shift left 2 units.

Answer:

Step-by-step explanation:

(19 - 7)/(6 - 2) = 12/4= 3

y - 7 = 3(x - 2)

y - 7 = 3x - 6

y = 3x + 1

Answer:

1) 55 2)60-80 3)95 4)92.5(mean), 92.5 (median), 95 (mode) 5) the outlier greatly offsets the data as it is no where near the other data points.

Step-by-step explanation:

Answer:

x = 3.1

Step-by-step explanation:

Subtract 6.3 - 3.2 to find the value of x. You get 3.1.

Hope it helps!

Answer:

you would divide -> 51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

Answer:Divide  51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

when using a calc. it comes out to 290.18, convert that to a remainder to get d; 290r3

please mark brainliest, need it for a new rank t y s m in advance

Answer:

-x=-6

x=6

7(6)+2y=24

42+2y=24

2y=24-42

2y=-18

y=-9

Step-by-step explanation:

Answer:

t = mqv/s

Step-by-step explanation:

see pic for explanation

Answer:

21.8cm is the required answer

Step-by-step explanation:

The measurement of the third side of the triangle is 22 cm

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

Learn more about sine law, click;

https://brainly.com/question/17289163

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Answer:

x=100

Step-by-step explanation:

x+23+57=180

x+80=180

x=100

Answer:

126

Step-by-step explanation:

The supplement of 54° is the angle that when added to 54° forms a straight angle (180° ). So,

54 + x = 180

x = 126

Answer:

-8 and 5

Step-by-step explanation:

-8 × 5 = -40

-8 + 5 = -3

Answer:

She typed for 60 minutes (1 hour).

Step-by-step explanation:

Do 2,700 divided by 45 to get your answer.

2,700 ÷ 45 = 60

She typed for 60 minutes (1 hour).

Answer:

Your image is cut off, can you provide a better one so I can try to answer it?

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

no because 8*3 is not equal to 18

if my answer helps please mark as brainliest.