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3 years ago

I don't understand how to do this can anyone help me.

Mathematics

2 answers:

Katena32 [7]3 years ago

6 0

The slope-intercept form is y=mx+b (m stand for the number that's next to the X) and (b stand for the number that without x or y just like "-24" in this equation) .. so the answer is : -3y = -x-24 which means y = x/3 + 8

Bezzdna [24]3 years ago

4 0

Written in slope-intercept form, x - 3y = -24 would become y = 1/3x + 8

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Suppose that 50% of all young adults prefer McDonald's to Burger King when asked to state a preference. A group of 12 young adul

ddd [48]

Answer:

a) 0.194 = 19.4% probability that more than 7 preferred McDonald's

b) 0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred McDonald's

c) 0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred Burger King

Step-by-step explanation:

For each young adult, there are only two possible outcomes. Either they prefer McDonalds, or they prefer burger king. The probability of an adult prefering McDonalds is independent from other adults. 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.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

50% of all young adults prefer McDonald's to Burger King when asked to state a preference.

This means that $p = 0.5$

12 young adults were randomly selected

This means that $n = 12$

(a) What is the probability that more than 7 preferred McDonald's?

$P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{12,8}.(0.5)^{8}.(0.5)^{4} = 0.121$

$P(X = 9) = C_{12,9}.(0.5)^{9}.(0.5)^{3} = 0.054$

$P(X = 10) = C_{12,10}.(0.5)^{10}.(0.5)^{2} = 0.016$

$P(X = 11) = C_{12,11}.(0.5)^{11}.(0.5)^{1} = 0.003$

$P(X = 12) = C_{12,12}.(0.5)^{12}.(0.5)^{0} = 0.000$

$P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.121 + 0.054 + 0.016 + 0.003 + 0.000 = 0.194$

0.194 = 19.4% probability that more than 7 preferred McDonald's

(b) What is the probability that between 3 and 7 (inclusive) preferred McDonald's?

$P(3 \leq X \leq 7) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.054$

$P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.121$

$P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.193$

$P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.226$

$P(X = 7) = C_{12,7}.(0.5)^{7}.(0.5)^{5} = 0.193$

$P(3 \leq X \leq 7) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.054 + 0.121 + 0.193 + 0.226 + 0.193 = 0.787$

0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred McDonald's

(c) What is the probability that between 3 and 7 (inclusive) preferred Burger King?

Since $p = 1-p = 0.5$ , this is the same as b) above.

0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred Burger King

7 0

3 years ago

Solve the problem.

Alex

Answer:

0.081

Step-by-step explanation:

Given parameters:

Vertical drop = 70ft

Horizontal distance = 866ft

Unknown:

Slope of the rapids =?

Solution:

Slope is the rise or vertical height divide by the horizonal distance.

Slope = $\frac{vertical drop}{horizontal distance}$

Insert the parameters and solve;

Slope = $\frac{70}{866}$ = 0.081

8 0

3 years ago

A store offers some customers a coupon and then counts how many customers return to the store to shop again. The two-way table s

Nina [5.8K]

Most customers who returned to the story were offered a coupon

8 0

2 years ago

Tapiwa swept 5%, percent more leaves than Adam. Tapiwa swept 357 liters of leaves.

dusya [7]

the answer is 17.85 leaves because you first turn 5% into a decimal then you multiply it by 357 and get 17.85 so Adam swept 17.85 liters of leaves in total im sorry if i got it wrong o~o

8 0

3 years ago

I need the answers to all 4 asap please!! they shouldn’t be too hard

TiliK225 [7]

parallelogram

1. perimeter 10(2)+10(2)=32+20

perimeter = 52cm

area=b times h

area = 16(9)=144cm2

2 TRAPEZOID

perimeter =( 21+24+25+44.67)m

=114.67m

area= 1/2( b1+b2)h

1/2(44.67+25)20

696.7m2

3. perimeter = 2+3+12+2+3+5+3+2+9+7+3

=51cm

area = 54+6+6+6=72cm2

4. perimeter is 10+4+2+3+ 2+4+10+23 = 58cm

area is 

(11+23).8=37.8

=272

trap-rect=136-6

=130ft2

3 0

3 years ago