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4 years ago

1)The graph below shows a line segment PQ:

Mathematics

1 answer:

Zolol [24]4 years ago

8 0

Let the equation of the line be
y = mx + c

The line has a y-intercept of 1. Therefore, c = 1.
The equation for the line is
y = mx + 1.

The line passes through (0,1) and (1,-1). Therefore its slope is
m = 2/-1 = -2.
The equation of the line is
y = -2x + 1

Answer: y = -2x + 1

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The problem ask to calculate the corresponding distance on the new patio where as the the patio will have two long parallel side and an area of 360 square feet and the area of the similar patio is 250 square feet and its long parallel sides are 12.5 feet apart. To calculate this the ratio of the distance of the two polygon is P:Q so it means that the are is also P^2:Q^2 so the ratio of the area is 36:25 so the the distance of the new patio is 18 feet

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4 years ago

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3 years ago

Lisa Purchased almonds for $3.50 per pound. She spent a total of $24.50. how many pounds of almond did she purchase?

Margaret [11]

Answer:

7 pounds of almond

Step-by-step explanation:

It is $3.50 per pound.

If she spent a total of $24.50, just divide 24.50 by 3.50

$\frac{24.50}{3.50}$ = 7

We can verify this by multiplying 3.50 by 7 which gives us 24.50

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3 years ago

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According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o

igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

$\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ ~ N(0,1)

where, p = 0.20 and n = 100

Let $\hat p$ = proportion of red candies in our sample

So, P( $\hat p$ < 0.20) = P( $\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } }$ < $\frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } }$ ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

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3 years ago