Mathematics College

Scores on a final exam in a large class were normally distributed with a mean of 75 and a standard deviation of 8. What percent of the students scored above an 83?

Answers

Answer 1

Using z - score, the percentage of students above 83 is 15.9%

What is the percentage of students that scored above 83?

To find the number of students that scored above 83 can be calculated using z - score formula.

This is given as

z = x - μ / σ

μ = meanσ = standard deviationx = score

Substituting the values into the formula;

z = 83 - 75 / 8

z = 1

The z-score is 1

Let's find the percentage of z -score under the score

p(x > 83) = 1 - P(x < 83) = 0.15866

p = 15.9%

Learn more on z-score here;

https://brainly.com/question/29367643

#SPJ1

Related Questions

URGENT HELP PLEASE!!!


In a class of students, the following data table summarizes how many students have a
a
cat or a dog. What is the probability that a student chosen randomly from the class
has a cat and a dog?

Answers

Answer: 5/13

Step-by-step explanation:

To solve this problem, we can use the formula for conditional probability:

P(A|B) = P(A and B) / P(B)

where P(A and B) is the probability of both events A and B happening, and P(B) is the probability of event B happening.

Let's first calculate the total number of people in the class:

Total number of people = 5 + 6 + 2 + 11 = 24

Now, let's calculate the probability of having a cat and a dog:

P(cat and dog) = 5 / 24

Next, let's calculate the probability of having a cat:

P(cat) = (5 + 6 + 2) / 24 = 13 / 24

Finally, let's calculate the probability of having no dog:

P(no dog) = (6 + 11) / 24 = 17 / 24

Using the formula for conditional probability, we can calculate the probability of having both a cat and a dog given that a person has a cat:

P(cat and dog | cat) = P(cat and dog) / P(cat) = (5 / 24) / (13 / 24) = 5 / 13

Therefore, the probability that a student chosen randomly from the class has a cat and a dog is 5/13.


A golf ball rolls at a speed of 8 m/s for 12 seconds. Mandy hits the golf ball and it rolls
for 16 seconds at a speed of 12 m/s. What is the total distance travelled by the golf ball?

Answers

Using the given information, the total distance travelled by the golf ball is 288 m

Calculating the total distance travelled by the golf ball

From the question, we are to calculate the total distance travelled by the golf ball

The distance travelled by the golf ball can be calculated by using the formula,

Distance = Speed × Time

From the given information,

The golf ball rolls at a speed of 8 m/s for 12 seconds

Thus,

The distance travelled at this time is

Distance = 8 m/s × 12 s

Distance = 96 m

Also,

Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s

The distance travelled at this time is

Distance = 12 m/s × 16 s

Distance = 192 m

The total distance travelled by the golf ball is 96 m + 192 m

=

Hence, the total distance travelled by the golf ball is 288 m

Learn more on Calculating total distance here: https://brainly.com/question/11607177

#SPJ1

help me please!! I’m not quite sure how to solve this so explanations for this will be appreciated

Answers

The solution is:

the area of this figure is 21.9 ft².

Here, we have,

To find the area of this figure, we must find the area of the 6 x 6 square and subtract the area of a semi-circle with a diameter of 6.

Area square:

6 x 6

36

Area semi-circe:

A = 1/2(πr²)

A = 1/2(6/2)²π

A = 1/2(9π)

A = 14.1

Area shape:

36 - 14.1

21.9

The units are ft², so the answer is 21.9 ft².

To learn more on Area click:

brainly.com/question/20693059

#SPJ1

The dosage the pharmacy carries in stock (on hand), is different than the prescribers order. Use ratio and proportion to calculate the total quantity of tablets to dispense for each of the prescriptions below: Order: Zocor 40 mg po qd for 60 days On hand: 20 mg tabs How many 20 mg tabs should be given? Give:

Answers

Using ratios and proportions, the number of 20 mg tabs that should be given in place of 40 mg po qd for 60 days is 120 tabs.

How the number is determined:

Using ratios and proportions, the number of tabs of 20 mg that should be given in place of 40 mg qd for 60 days is determined as follows:

Order: Zocor 40 mg po qd for 60 days

= 60 tabs since it is once per day (qd)

Total mg = 2,400 mg (40 mg x 60 tabs)

On hand: 20 mg tabs

Proportionately, 20 mg = 120 tabs (2 x 60) since 40 mg is for 60 tabs

Total mg = 2,400 mg (20 mg x 120 tabs)

Learn more about ratios and proportions at https://brainly.com/question/29774220.

#SPJ1

A study of religious practices among college students interviewed a sample of 125
students; 105
of the students said that they prayed at least once in a while. What is the sample proportion who said they pray?


0.84

1.19

105

84

Answers

The sample proportion who said they pray is approximately 0.84, or 84%.

How to solve for the sample proportion

The sample proportion of college students who said they pray can be calculated by dividing the number of students who said they pray (105) by the total number of students in the sample (125).

Sample proportion = Number of students who said they pray / Total number of students in the sample

Sample proportion = 105 / 125

Sample proportion = 0.84

Therefore, the sample proportion who said they pray is approximately 0.84, or 84%.

Read more on sample proportion here:https://brainly.com/question/24232216

#SPJ1

Other Questions
the phrase "germany is not a throwaway society" means the government does not take care of those who are less fortunate.True/False aluminum (al) has a density of 2.70 g/cm3 and crystallizes as a face-centered cubic structure. what is the unit cell edge length? I. Here in summera. Rain b. Rainedc. Rains provide the reagent(s) necessary to carry out the following conversion. group of answer choices fe/hcl nabh4/ch3oh all of these h2/ni 1. lialh4 2. h2o The waters off the coast of Iceland are filled with pods of killer whales, which migrate there during the summer. Wildlife parks that rely on the killer whales for entertainment hunt the killer whale almost exclusively in the water of Iceland, because strict sanctions forbid them from doing so off the coast of North America, an area also abundant in killer whales. Since Iceland recently gave in to pressure from international groups opposed to the hunting of killer whales, it too will forbid the hunting of killer whales off its coast. Therefore, all wildlife parks will be forced to end their shows featuring killer whales once their current killer whales are unable to perform. " All of the following cast doubt on the conclusion of the argument EXCEPT? sketch the finite region enclosed by the given curves and find the area of the region. y=squarootx, y=x^2, x=2 capital improvement special assessments: may include contributions how would you describe your particular context (home/community/ state) in regard to being socialized into sport and physical activity? describe geometrically the effect of the transformation t. let a = [0 0 0 0 1 0 0 0 1'] And are tangent to circle A. Kite ABCD is inscribed in circle E. The radius of circle A is 14 and the radius of circle E is 15. Find the length of rounded to the nearest tenth Consider the de Broglie wavelength of an electron What is the de Broglie wavelength of an electron traveling at a speed of 5.0106 m/s? Give your answer in pm Grade Summary Deductions Potential pm 0% 100% Submissions tan() | | ( 789 cosO cotanO asin0 acos0 atan acotan0 sinh coshO tanh0 cotanh0 Degrees -Radians sin Attempts remaining: 999 % per attempt) detailed view 0 END vo DELCLEAR Submit I give up! Hints: for a .0%-deduction. Hints remaining: 0 Feedback: 5%-deduction per feedback. Carefully distinguish between the terms differentiation and determination. Which phenomenon occurs initially during development? a. Determination refers to early developmental and regulatory events by which cell fate is fixed. Once fixed, differentiation is the manifestation of the determined state, in terms of genetic, physiological, and morphological changes. b. Differentiation refers to early developmental and regulatory events by which cell fate is fixed. Once fixed, determination is the manifestation of the differentiated state, in terms of genetic, physiological, and morphological changes. c. Both terms refer to early developmental and regulatory events that confer a spatially discrete identity on cells. d. Both terms refer to the manifestation of spatial identity, in terms of genetic, physiological, and morphological changes. Neither occurs initially during development Submit Request Answer A square-wave inverter supplies an RL series load with R=25 ohms and L=25mH. The output frequency is 120 Hz. (a) Specify the dc source voltage such that the load current at the fundamental frequency is 2.0 A rms. (b) Determine the THD of the load current (until 9), show all your work. + Vdc Should Chaucers excessive praise of the Prioress be taken literally? Is he overstating her fastidious behavior in order to achieve some other effect? answer the following questions regarding the criterion used to decide on the line that best fits a set of data points. a. what is that criterion called? b. specifically, what is the criterion? Starbucks opened its first store in zagreb, croatia, in october 2010. at the time in zagreb the price of a tall vanilla latte was 25.73 croatian kunas/$. in new york city, the price was $2.65. the exchange rate between kunas and dollars is kn5.6288/$. a. according to purchasing power parity, is the kuna overvalued or undervalued?b. by what percent is the kuna overvalued or undervalued? You put a 51.7 gram mass on a spring, set it in motion with a small amplitude, and count 21 cycles. Those 21 cycles took 3.42 seconds What is kHM Answer 4. employees contribution to dependent care account ________________ employees ________________, thereby _____________ employers labor burden. Which of the following statements is FALSE?The more muscular endurance you have the more repetitions you can do.Muscular endurance is your muscles' ability to continue performing without fatigue.Muscular strength is your muscles' ability to exert force against resistance.Muscular strength is more important than muscular endurance According to Martin Luther King, how did Kennedy abandon Civil Rights?