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Alja [10]
3 years ago
6

The x-values in a function are the: A. Range B. Domain C. Median

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0
The answer would be B, domain.
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8,900 incoming freshman to a university take an entrance exam, with the top 10% being offered admission to the university's hono
Drupady [299]

Answer:

The student must score 79.75% to be invited to join the honors program.

Step-by-step explanation:

Let <em>X</em> denote the score of a freshman in the entrance exam.

It is provided that the average test score is 78%, with a standard deviation of 11%.

It is provided that the top 10% being offered admission to the university's honors program.

Let <em>x</em> denote the score eligible for being offered admission to the university's honors program.

Then, P (X ≤ x) = 0.90.

Then P (Z < z) = 0.90.

The corresponding <em>z</em>-score is, 1.28.

*Use a <em>z</em>-table<em>.</em>

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma/\sqrt{n}}\\\\1.28=\frac{x-78}{11/\sqrt{65}}\\\\x=78+(1.28\times \frac{11}{\sqrt{65}})\\\\x=79.75\%

Thus, the student must score 79.75% to be invited to join the honors program.

4 0
3 years ago
A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant
Inessa05 [86]
To get the distance of the balloon from the the bottom to the ground we apply the following trigonometric formula:
sin θ=opposite/hypotenuse
θ=35°
opposite=height,h
hypotenuse=75ft
Thus plugging our values in the formula we obtain:
sin 35=h/75
solving for h we get
h=75sin 35
h=43.02~43 ft
7 0
4 years ago
A triangle has two sides of length 4 and 15. What is the smallest possible whole-number length for the third side
Oduvanchick [21]

Answer:

The smallest whole number length is 12

Step-by-step explanation:

The sum of any two sides of any triangle must be greater than the length of the third side.

In this case, the two smallest sides of the triangle must be greater than the third side to satisfy the statement above.

Let "x" = the length of the third side.

Our two smaller sides are "x" and "4", and their sum must be greater than 15.

x + 4 > 15

x > 15 - 4

x > 11

5 0
3 years ago
Plz help what is the answer for this question?
Liula [17]

Answer:

Step-by-step explanation:

THE ANSWER IS C

8 0
3 years ago
Read 2 more answers
Select all correct answers
Luden [163]
<h2>Answer = </h2><h2>=  \frac{1}{y {}^{5} x {}^{2} }</h2>

Step-by-step explanation:

Greetings !

simplify for variable y first

apply exponent rule

a {}^{b} .a {}^{c}  = a {}^{b +c \\   } \\  y {}^{ - 8}y {}^{5}  = y {}^{ - 8 + 3}

Add/subtract the numbers -8+3=5

= y {}^{5}

Apply exponent rule

a {}^{ - b}  =  \frac{1}{a {}^{b} }

Thus,

y {}^{ - 5}  =  \frac{1}{y {}^{5} }

secondly, simplify for the variable x

Apply exponent rule as we made on y

x {}^{ - 2}

x  {}^{ - 2}  =  \frac{1}{x {}^{2} }

multiply bot the values we get

Hope it helps!

5 0
2 years ago
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