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Minchanka [31]
3 years ago
11

Imagine we measured the height of all the male students at a particular college. We found that the average height of men at this

school was 70 inches (5'10") with a standard deviation of 2 inches and the distribution is approximately normal in shape. If we were to randomly select one male student from this college, what is the probability that this student is 73 inches (6'1") or taller?
Mathematics
1 answer:
postnew [5]3 years ago
4 0

Answer:0.0668

Step-by-step explanation:

As per given we have,

\mu=70  \sigma= 2

Also, the distribution is approximately normal in shape.

since , z=\dfrac{x-\mu}{\sigma}

z-score corresponds to x= 73 will be :_

z=\dfrac{73-70}{2}=1.5

P-value = P(x\geq73)=P(z\geq1.5)

=1-P(z

Hence, the probability that this student is 73 inches (6'1") or taller = 0.0668

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Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
mars1129 [50]

Answer:

A = (x + 15)(x + 10) − 5

Step-by-step explanation:

(x+15)(x+10)-5=A would be a solution

To make this easier, let's assign x a value. Let's say 3.

(3+15)(3+10)-5=A

(18)(13)-5=A

234-5=A

A=229

Now with this, we put x in the answer choice and the answer that gives an area of 229 is correct.

A. A=(3+20)(3+10)+12=(23)(13)+12=299+12=311 <u>Answer A is wrong.</u>

B. A=(3+20)(3+10)-12=(23)(13)-12=299-12=287 <u>Answer B is wrong.</u>

C. A=(3+26)(3+15)=(29)(18)=522 <u>Answer C is wrong.</u>

D. A=(3+14)(3+8)=(17)(11)=187 <u>Answer D is wrong.</u>

It's either I'm wrong or the answer choices are wrong.

New answer choices!

A. A=(3+20)(3+11)

=(23)(14)=322 Answer A is wrong.

B. A=(3+15)(3+10)+5

=(18)(13)+5=234+5=239  Answer B is wrong.

C. A=(3+15)(3+10)−5

=(18)(13)-5=234-5=229 Answer C is correct.

D. A=(3+9)(3+10)=(12)(13)=156 <u>Answer D is wrong.</u>

5 0
4 years ago
What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 opt
ExtremeBDS [4]

Answer:

C

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

Q(- 5, 2 ) → Q'(2, - 5 )

R(0, 5 ) → R'(5, 0 )

S(- 1, 2 ) → S'(2, - 1 )

6 0
4 years ago
Common denominator of 5 6 7
Yanka [14]

Answer:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ... 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...

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darrylh3333

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3 0
3 years ago
What is 9.1 less than a number is less than 4.6 equals?
Brilliant_brown [7]

Answer:

n > 13.7

Step-by-step explanation:

Writing a symbolic statement, we get:

n - 9.1 < 4.6

Multiplying all three terms by 10 removes fractions:

10n - 91 > 46

Adding 91 to both sides isolates the 10n term:

10n > 46 + 91, or   10n > 137

Then n > 137/10, or n > 13.7

4 0
3 years ago
The lengths of the sides of a triangle are represented by 3 consecutive even integers. if the perimeter of the triangle is 72 fe
iris [78.8K]
P = a + b + c
P = 72
a = x
b = x + 2
c = x + 4

72 = x + x + 2 + x + 4
72 = 3x + 6
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66 = 3x
66/3 = x
22 = x

x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26

the sides of ur triangle are : 22,24,26 <==
6 0
3 years ago
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