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Goryan [66]
3 years ago
12

Tan 48 degrees 19'23"

Mathematics
1 answer:
asambeis [7]3 years ago
3 0

Answer:

Step-by-step explanation:

y = tan(48 + 19/60 + 23/3600)

y = tan(48.323055555...)

y = 1.1232851096924531815531574029372...

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One year, many college-bound high school seniors in the U.S. took the Scholastic Aptitude Test (SAT). For the verbal portion of
Butoxors [25]

Using the normal distribution, it is found that 62.46% of students would be expected to score between 350 and 550.

<h3>Normal Probability Distribution</h3>

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.

In this problem, the mean and the standard deviation are respectively, given by: \mu = 425, \sigma = 110

The proportion of students that would be expected to score between 350 and 550 is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 350</u>, hence:

X = 550:

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

Z = \frac{550 - 425}{110}

Z = 1.14

Z = 1.14 has a p-value of 0.8729.

X = 350:

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

Z = \frac{350 - 425}{110}

Z = -0.68

Z = -0.68 has a p-value of 0.2483.

0.8729 - 0.2483 = 0.6246

62.46% of students would be expected to score between 350 and 550.

More can be learned about the normal distribution at brainly.com/question/24663213

7 0
2 years ago
Mario bought a new car for $25,000. The value of the car is decreasing at a rate of 12.5% every year. After 3
maxonik [38]

Answer:

$16,748

Step-by-step explanation:

we know that

The equation of a exponential decay function is equal to

y=a(1-r)^x

where

y is the value of the car

x is the number of years

a is the initial value

r is the rate of change

In this problem we have

a=\$25,000\\r=12.5\%=12.5/100=0.125

substitute

y=25,000(1-0.125)^x

y=25,000(0.875)^x

For x=3 years

substitute

y=25,000(0.875)^3=\$16,748

7 0
4 years ago
-25 Points-
Nesterboy [21]

Answer:

<h2>823.7 m²</h2>

Step-by-step explanation:

If a figure A and a figure B are similar, then

\dfrac{area_A}{area_B}=k^2    (*)

<em>k</em><em> - similarity scale</em>

<em />

Calculate the similarity scale:

k=\dfrac{6}{5}

We have the surface area of the smaller prism 572 m².

Substitute to the formula (*):

\dfrac{x}{572}=\left(\dfrac{6}{5}\right)^2\\\\\dfrac{x}{572}=\dfrac{36}{25}\qquad\text{cross multiply}\\\\25x=(36)(572)\\\\25x=20,592\qquad\text{divide both sides by 25}\\\\x=823.68\approx823.7\ m^2

7 0
3 years ago
Find the value of 64(-2/3)
Ad libitum [116K]
The answer as a decimal is -42.6
6 0
3 years ago
The total cost for playing paintball is Php 100 per gun for rent and Php 1000 per 2000 paintballs. Assuming only 2000 paintballs
S_A_V [24]
For problems involving algebra, you have to formulate algebraic equations to be able to solve the problem. Algebraic equations are mathematical terms which include variables to denote the unknown numbers. 

For this problem, you are to find the total cost which consists of cost for the gun rent and cost for the paintballs. Hence, your equationmust consist of two terms. The equation must be:

Total cost = 100x  + 1000

The term x denotes the number of guns. Hence, it must be multiplied with 100 to determine the cost. On the otherhand, the constant 1000 is for the paintballs. Since it was given that each team must have 2000 paintballs, then it follows that they must pay 1000 Php.
4 0
4 years ago
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