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Anvisha [2.4K]
3 years ago
14

Molly plans to sew together a costume for the school play. She has one of each of the following colors

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

1) 1/4

3) 1/12

4) 5/6

Step-by-step explanation:

1) P(Red) = 1/4

4 options out of which 1 is red

2)

Black --> Black, White, Yellow

Green --> Black, White, Yellow

Red --> Black, White, Yellow

White --> Black, White, Yellow

First 4 branches for buttons.

From each of these 4 branches, make 3 further branches for ribbons

3) In the tree diagram, there are

12 (4×3 = 12) equally likely outcomes

Out of which 1 is (Black, Black)

So, P(Black & Black) = 1/12

4) out of the 12 outcomes, only 2 have same colour of bottom ribbon:

(Black, Black) & (White,White).

Other 10 have different colours.

P(different) = 10/12 = 5/6

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Bill began his diet when he weighed 268 pounds. After 4 weeks he weighed 250 pounds. Write an equation in slope-intercept form o
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An equation in slope-intercept form of the line

p=-\frac{9}{2}w+268\\

Given :

Bill began his diet when he weighed 268 pounds.

After 4 weeks he weighed 250 pounds

Lets 'w' represents weeks and 'p' represents pounds

Using the given information ,we find two points (w,p)

Bill began his diet when he weighed 268 pounds.

when w=0 , weight in pounds =268

(0,268)

After 4 weeks he weighed 250 pounds, so point is (4,250)

Use two points to write the equation of line

Slope intercept form is y=mx+b

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m=\frac{y_2-y_1}{x_2-x_1} =\frac{250-268}{4-0} =-\frac{9}{2}

now use slope m and any one point (0,268) to write equation

y=mx+b\\y=-\frac{9}{2}x+b\\(0,268) where x=0  and y=268\\268=-\frac{9}{2}(0)+b\\\\b=268

we know that w represents weeks and p represents pounds

The equation of the line in slope intercept form is

p=-\frac{9}{2}w+268\\

Learn more :  brainly.com/question/986503

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Help me please it is due today
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Answer:

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Step-by-step explanation:

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