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3 years ago

Please help asap I'm not sure how much time I have

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

8 0

Tan 37,4 = opposite/adjacent

tan 37,4 = x/12,8
• then multiply both sides by 12,8

12,8tan 37,4 = x
Therefore x = 9, 79 x 100
= 97, 86
= 100
( I guess that’s how you can round it to the nearest hundred, please correct me if I’m wrong)

Second one:

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3 years ago

Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the

Leto [7]

Answer:

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

Z score

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where μ is the mean, x = raw score and σ is the standard deviation.

Given μ = 180, σ = 8.

For x = 185:

z = (185 - 180)/8 = 0.625

For x = 190:

z = (190 - 180)/8 = 1.25

P(185 < x < 190) = P(0.625 < z < 1.25) = P(z < 1.25) - P(z < 0.625) = 0.8944 - 0.7324 = 16.2%

There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds

3 0

3 years ago

On a certain hot summer's day, 643 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for

lilavasa [31]

249 children and 394 adults swam at the public pool.

Step-by-step explanation:

Number of people swam at pool = 643

Receipts = $1161.50

Cost for one child = $1.50

Cost for one adult = $2.00

Let,

x be the number of children

y be the number of adults

According to given statement;

x+y=643 Eqn 1

1.50x+2.00y = 1161.50 Eqn 2

Multiplying Eqn 1 by 2

$2(x+y=643)\\2x+2y=1286\ \ \ Eqn\ 3\\$

Subtracting Eqn 2 from Eqn 3

$(2x+2y)-(1.50x+2.00y)=1286-1161.50\\2x+2y-1.50x-2.00y=124.50\\0.5x=124.50$

Dividing both sides by 0.5

$\frac{0.5x}{0.5}=\frac{124.50}{0.5}\\x=249$

Putting x=249 in Eqn 1

$249+y=643\\y=643-249\\y=394$

249 children and 394 adults swam at the public pool.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago

Answer it with proof please, so I know how you got it.

Alex Ar [27]

I think it's 79.50 square units. there three triangles in the quadrilateral shape above with the areas given so add the areas together to get the answer

4 0

3 years ago

Read 2 more answers