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nikdorinn [45]
3 years ago
9

A private college advertised that last year their freshman students, on average, had a score of 1120 on the college entrance exa

m. Assuming that average refers to the mean, which of the following claims must be true based on this information?
a. Last year, the number of their freshman students who had a score of more than 1120 on the exam was equal to the number of their freshman students who had a score of less than 1120 on the exam.
b. Last year at least one of their freshman students had a score of less than 1240 on the exam.
c. Last year some of their freshman students had a score of exactly 1120 on the exam.
d. Last year some of their freshman students had a score of at least 1120 on the exam.
e. Next year at least one of their freshman students will have a score of at least 1120 on the exam.
f. None of the above statements is true.
Mathematics
1 answer:
Ahat [919]3 years ago
3 0

Answer:. d. Last year some of their freshman students had a score of at least 1120 on the exam.

Step-by-step explanation:

If the average score is 1120, then some students scored more than 1120. Hence, those students scored at least 1120

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If m∠ATB = 20°, m∠BTD = 72°, and m∠CTD = 38°, what is m∠ATC?
Ber [7]

Answer: m∠ATC = 54°

Step-by-step explanation:

Ok, we know that:

m∠ATB = 20° and  m∠BTD = 72°

then we must have that the angle between A and D, is equal to the sum of the angles between A and B, and B and D, or:

m∠ATD = m∠ATB + m∠BTD = 20° + 72° = 92°

Now, we also know that m∠CTD = 38°

And the angle:

m∠ATC  will be equal to the angle between A and D, minus the angle between C and D, or:

m∠ATC = m∠ATD - m∠CTD = 92° - 38° = 54°

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3 years ago
Three times a number plus 12 minus 5 times the same number is 22. What is the number?​
Ilia_Sergeevich [38]

Answer:3

Explanation: 3x5=15+12=27-5=22

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3 years ago
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute
Katyanochek1 [597]

Answer:

Step-by-step explanation:

Given that:

sample size n = 36

standard deviation = 10.1

level of significance ∝ = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

H_0 : \sigma = 10

H_1 : \sigma \neq 10

The test statistics can be computed as follows:

X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}

X^2 = \dfrac{(36 -1)10.1^2 }{10^2}

X^2 = \dfrac{(35)102.01 }{100}

X^2 = \dfrac{3570.35 }{100}

X^2 =35.704

degree of freedom = n - 1 = 36 - 1 = 35

Since this test is two tailed .

The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)

P - value = 2 × 0.435163515

P - value = 0.8703      ( to four decimal places)

Decision Rule : To reject the null hypothesis if  P - value is less than the 0.10

Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.

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3 years ago
Find the surface area of the given prism​
Wewaii [24]

Answer:

Hello! answer: 432

Step-by-step explanation:

12 × 8 = 96

12 × 8 = 96

12 × 6 = 72

12 × 6 = 72

8 × 6 = 48

8 × 6 = 48

Then you add them all up so...

96 + 96 + 72 + 72 + 48 + 48 = 432 therefore the surface area is 432 hope that helps!

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3 years ago
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if the consecutive angles of a quadrilateral are supplementary it will be parallelogram. like square and rectangular
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