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NNADVOKAT [17]
3 years ago
6

Assume that random guesses are made for eight multiple choice questions on an SAT test so that there are n =8 trials ,each with

probability of success (correct) given by p=0.2. find the indicated probability for the number of correct answer.
find the probability that the number x or correct answer is fewer than 4​
Mathematics
1 answer:
True [87]3 years ago
4 0

Step-by-step explanation:

consider k the numbe of correct answers

P(k) = kC8×(0,2)^k×(0,8)^(8-k)

example:

The probability of having 2 correct answers = 2C8×(0,2)^2×(0,8)^(6) = 0.294

the probability that the number x or correct answer is fewer than 4​ =

p(0) + p(1) + p(2) + p(3) = 0.944

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Find an equation for the line that passes through the points (-2,-6) and (6,-4)
JulsSmile [24]
Slope of line
m= (y2-y1)/(x2-x1)
=(-4--6)/(6--2)
=2/8
=1/4

Line in two point form
(y-y1)=m(x-x1)
y--2=(1/4)(x-6)
y+2=(1/4)(x-6)
simplify
4(y+2)=x-6 =>
x-4y-14=0
Alternatively, use the slope intercept form:
y--2=(1/4)(x-6) =>
y=(1/4)x - 3/2-2 =>
y=(1/4)x -7/2

6 0
3 years ago
Margo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the cad
natka813 [3]

Answer:

a little late

205 1/5 is your answer

Step-by-step explanation:

break down the 3-D figure

Find area of triangle A=1/2bh

=1/2(8 inch)(6   9/10inch)

=1/2(8 inch)(69/10 inch)

=138/5 square inch

then multiply two because you have 2 triangles

=138/5 (2)  

= 276/5 square inch

= 55 1/5 sq.in

Find area of rectangle

A = lw

=6 1/4 in (8 in)

= 25/4 (8 in.)

= 50 sq. in.

then multiply by 3 because of the three rectangles

= 50 sq. inch (3)

= 150 sq. in.

Add all together

55 1/5 sq. inch + 150 sq. inch = 205 1/5 sq. inch

4 0
3 years ago
Hannah drove at a rate of 750 km in 9 hours. If Hannah drives at a
Anastaziya [24]

Answer:

Step-by-step explanation:

7 0
3 years ago
Hello do any one know this answer
natita [175]

Answer:

A: y = -2x^2

Step-by-step explanation:

The parent function would be y = x^2 since it is a parabola.

Since the function has a vertical stretch by 2, y = 2x^2.

Finally, the function is inverted so the final equation would be y = -2x^2

3 0
3 years ago
What is the sum of the first 20 terms of the series 3 + 14 + 25 + 25 + 36 +
Fynjy0 [20]

Answer:

S _{20} = 2150

Step-by-step explanation:

a _{1} = 3 \\ a _{2} = 14 \\ d = a _{2} - a_{1}  = 14 - 3 = 11 \\ n = 20

S _{n} =  \frac{n}{2} (2a + (n - 1)d) \\  \\ S _{20} =  \frac{20}{2} (2(3) + (20 - 1) \times 11) \\  \\ S _{20} = 10 \times (6 + 19 \times 11) \\ S _{20} = 10 \times (6 + 209) \\ S _{20} = 10 \times 215 \\ S _{20} = 2150

6 0
3 years ago
Read 2 more answers
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