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3 years ago

6

A school is printing tshirts for their students. They have received 2 pricesfrom 2 companies. Company A says they will print 16

tshirts for $40. Company B days they will print 84 tshirts for $140. Which company is selling t shirts at a better price?

1 answer:

Goshia [24]3 years ago

8 0

Company B is selling at a better price.

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3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midp

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Answer:

$(\frac{1}{2}, 2)$

Step-by-step explanation:

Using the midpoint formula, $M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$ , we can find the coordinates that represents the position of the ship at noon.

Let $L(-4, 7) = (x_1, y_1)$ (given on the coordinate plane)

$B(5, -3) = (x_2, y_2)$ (given also)

Plug in the values into the formula and solve as follows:

$M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2})$

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$M(\frac{1}{2}, 2)$

Position of the ship at noon is best represented at $(\frac{1}{2}, 2)$

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376.8 ft²

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Which conjecture explains the relationship between the angles in the construction below?

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BAngle AOB is half as big as angle COB.

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A set of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars.

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We have been given that a of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars. A leather sofa has a price of 2410 dollars. We are asked to find the proportion of sofa prices that are higher than the price of the leather sofa.

First of all, we will find the z-score corresponding to sample score 2410.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{2410-2500}{200}$

$z=\frac{-90}{200}$

$z=-0.45$

Now we need to find area under normal curve that is greater than z-score of $-0.45$ that is $P(z>-0.45)$ .

Using formula $P(z>a)=1-P(z$ , we will get:

$P(z>-0.45)=1-P(z$

Now we will find area under curve using normal distribution table.

$P(z>-0.45)=1-0.32636$

$P(z>-0.45)=0.67364$

Upon rounding to 4 decimal places, we will get:

$P(z>-0.45)\approx 0.6736$

Therefore, approximately 0.6736 of sofa prices are higher than the price of the leather sofa.

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