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borishaifa [10]
3 years ago
12

URGENT...Please help me with this question!!!!!!

Mathematics
1 answer:
Hunter-Best [27]3 years ago
6 0

Answer:

option 2

Step-by-step explanation:

The problem can be solved using Pythagoras' identity for a right triangle.

The angle between due East and due North is 90°

The solution here involves using the Cosine rule.

let x be the direct distance between house and office, then

x² = 17² + 21² - 2(17)(21)cos90° → option 2

Note that since cos90° = 0 the equation reduces to

x² = 17² + 21² ← Pythagoras' identity

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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s
Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.          

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.0793.

P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793  

= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793  

=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207  

Calculation the value from standard normal z table, we have,  

P(z \leq 1.410) = 0.9207

\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51  

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0
3 years ago
What does m = in m/6 + 8=13 with work shown
Tom [10]
Please excuse my sloppy writing but the answer is 30

8 0
4 years ago
Which choice most effectively sets up the
tatiyna

Option D. However, despite its many utilitarian benefits, colleges have not always supported the study of philosophy.

Which choice most effectively sets up the information that follows?

  • Despite philosophy teaching useful tools for academic and professional achievement, only 18 percent of the American colleges incorporated the course within curriculum, thus indicating their lack of support.
  • Hence, Option D is correct. The other  options do not express this condition.

To know more about reading comprehension, refer:

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6 0
2 years ago
How do you find the missing height of a triangle?
g100num [7]

Answer:

Use the Pythagorean theorem

Step-by-step explanation:

The pythagorean theorem is a^{2} +b^{2} =c^{2} where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:

3^{2} +4^{2} =c^{2}

Simplify the equation to get:

9+16=c^2

Add 16 and 9 to get 25 and take the square root of both sides:

\sqrt{25} =c

The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.

8 0
3 years ago
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Investments historically have doubled every 9 years. If you start with a $2000 investment how much money would you have after 54
aleksandrvk [35]
You would end up having $12,000 at that rate since 54 divided by 9 is 6
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3 years ago
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