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3 years ago

The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?

Mathematics

2 answers:

lapo4ka [179]3 years ago

7 0

Answer: C) 2(tan 40°)

ivanzaharov [21]3 years ago

6 0

Answer:

tan = opposite / adjacent

Step-by-step explanation:

opposite is rhe height we have to find

adjacent is 2

angle is 40

so to find the height

adjacent x tan(angle)

2(tan40)

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A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amoun

yarga [219]

Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

$\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7$

Hence, the distribution for the total amount of product has mean and standard deviation given by:

$\mu = \mu_F + \mu_R = 370 + 170 = 540$

$\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25$

The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{575 - 540}{25}$

$Z = 1.4$

$Z = 1.4$ has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at brainly.com/question/22934264

5 0

2 years ago

a jigsaw puzzle has edge pieces and inside pieces. the ratio 3:22. there are 924 inside pieces. calculate the total number of pi

statuscvo [17]

Okay. So, 924 pieces are inside. Let’s divide to see how many times 22 goes into 924. 924/22 = 42. So now, multiply 3 by 42 to do the same thing the opposite way. The product is 126. There are 126 edge pieces in the puzzle. You can do 126/924 to get the fraction in simplest form to be 3/22. To find the total number of pieces, add both numbers up. The sum of the two numbers is 1,050. There are 1,050 total pieces in the puzzle.

4 0

3 years ago

A parabola can be represented by the equation y2 = –x. What are the coordinates of the focus and the equation of the directrix?

shutvik [7]

ANSWER

Focus:

$(- \frac{1}{4} ,0)$