educational professionals refer to science, technology, engineering and mathematics as the STEM disciplines. A research group reported of 27% of freshmen entering college in a recent year planned to major in a stem discipline. A random sample of 85 freshmen is selected. Use the cumulative normal distribution table as needed. Round your answer to at least four decimal places if necessary
Answers
The probability that at most 20 freshmen out of 85 plan to major in STEM is approximately 0.2420.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
We can use the normal distribution to find probabilities related to STEM majors.
Let X be the number of freshmen out of 85 who plan to major in a STEM discipline. We are given that p = 0.27 is the proportion of freshmen who plan to major in STEM.
Then, X follows a binomial distribution with parameters n = 85 and p = 0.27.
The mean of the distribution is given by μ = np = 85 × 0.27 = 22.95.
The standard deviation of the distribution is given by σ = sqrt(np(1-p)) = sqrt(85 × 0.27 × 0.73) ≈ 4.27.
To find the probability that at most 20 freshmen plan to major in STEM, we can use the normal approximation to the binomial distribution:
P(X ≤ 20) ≈ P(Z ≤ (20 - 22.95) / 4.27) ≈ P(Z ≤ -0.697)
Using a standard normal distribution table or calculator, we find that P(Z ≤ -0.697) ≈ 0.2420.
Therefore, the probability that at most 20 freshmen out of 85 plan to major in STEM is approximately 0.2420.
To know more about probability visit:
https://brainly.com/question/13604758
#SPJ1
Related Questions
Hi I need help with dis answer
Answers
Answer:
the second answer
juzt find the scale factors of the two numbers given (120 and 96).
Step-by-step explanation:
120/15=8 But 96/15≠6
Calculate two iterations of Newton's Method to approximate a zero of the function using the given initial guess. (Round your answers to four decimal places.) f(x) = cos x, x1 = 0.7
Answers
Answer:
The two iterations of f(x) = 1.5598
Step-by-step explanation:
If we apply Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
Given;
f(xₙ) = cos x, then f'(xₙ) = - sin x
cos x / - sin x = -cot x
substitute in "-cot x" into the equation
xₙ₊₁ = xₙ - (- cot x)
xₙ₊₁ = xₙ + cot x
x₁ = 0.7
first iteration
x₂ = 0.7 + cot (0.7)
x₂ = 0.7 + 1.18724
x₂ = 1.88724
second iteration
x₃ = 1.88724 + cot (1.88724)
x₃ = 1.88724 - 0.32744
x₃ = 1.5598
To four decimal places = 1.5598
This circle graph shows the results of a survey of the ages of the people in a store.
What percentage of people are between 11 and 17 years old? Round to the nearest percentage if necessary.
11%
19%
25%
50%
Answers
Answer:
19% Im taking the test rn and it was correct
Step-by-step explanation:
:) hope it helps
I need to know The answer to this word problem
Answers
Given:
The little cheese 8 in $ 7.
The big cheese 10 in $ 9.
The cheese monster 12 in $ 12.
Required:
To find the ratio of little cheese, big cheese and cheese monster.
Explanation:
(1)
The crust to prize ratio for little cheese is,
\(\begin{gathered} 8:7=1:? \\ \\ =\frac{7}{8} \\ \\ =0.875 \end{gathered}\)(2)
The crust to prize ratio for big cheese is,
\(\begin{gathered} 10:9=1:? \\ \\ =\frac{9}{10} \\ \\ =0.9 \end{gathered}\)(3)
The crust to prize ratio for cheese monster cheese is,
\(\begin{gathered} 12:12=1:? \\ \\ =\frac{12}{12} \\ \\ =1 \end{gathered}\)(4)
The cheese monster is the best pizza for him.
Final Answer:
The crust to prize ratio for little cheese is = 0.875
The crust to prize ratio for big cheese is = 0.9
The crust to prize ratio for cheese monster cheese is = 1
The cheese monster is the best pizza for him.
The IQ scores and science test scores of fourth grade students is given by the line of best fit ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100.
Find and interpret the residual.
−1.99; The line of best fit underpredicts the student's science test score.
1.99; The line of best fit overpredicts the student's science test score.
1.99; The line of best fit underpredicts the student's science test score.
−1.99; The line of best fit overpredicts the student's science test score.
Answers
-19.99; The line of best fit underpredicts the student's science test score.
So correct option is A.
What do you mean by prediction?A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.
The predicted science score for the student with IQ 100 can be calculated using the line of best fit:
ŷ = −20.3 + 0.7489 * 100 = 71.59
The residual is the difference between the actual science test score and the predicted science score:
residual = actual score - predicted score = 52.6 - 71.59 = -19.99
So the line of best fit underpredicts the student's science test score by 19.99 points.
Therefore, the residual is:
-19.99; The line of best fit underpredicts the student's science test score.
To know more about residual visit:
https://brainly.com/question/7467603
#SPJ1
Rhys takes out a loan of £200, which gathers
interest at a rate of 3% per year. How much
interest will he have to pay after the first year?
Answers
Rhys will have to pay £6 interest after the first year.
To calculate the interest, we can use the formula:
Interest = Principal x Rate
Where:
Principal = £200
Rate = 3% = 0.03 (in decimal form)
So, the interest Rhys will have to pay after the first year is:
Interest = £200 x 0.03 = £6
Learn more about compound interest here:
https://brainly.com/question/29335425
#SPJ1
sin (a/2) = + or - sqrt 1-cos a / 2
for all values of a.
A. True
B. False
Answers
Answer:
True is the answer of this
What is the slope and y-intercept of the function
f(x) = - 7 + 3x
A. m= 1/3 b= 7
B. m= -3 b= -7
C. m=3 b =-7
D. m= -1/3 b= 7 7
Answers
Answer: the answer is C. M= 3 and B= -7
the slope is always with the (x) and the b is by itself
A Washington Post article reported on a study about alcohol consumption and cancer in women. Since 1996, a team of British researchers has been gathering detailed information from 1.28 million women aged 50 to 64. The researchers recorded how much alcohol the women reported consuming when they volunteered for the study and again three years later. The researchers then examined whether there was any link with the 68775 cancers the women developed over an average of the next seven years. They found that even among women who consumed as little as 10 grams of alcohol a day on average (the equivalent of about one drink), the risk for cancer of the breast, liver, and rectum was elevated.
Required:
a. Is this an experiment? Explain your answer.
b. We would prefer a sample survey to using women who volunteer for a study. What population does it appear that the researchers were interested in?
c. What variables did they measure?
Answers
Part A
This is not an experiment.
Why not? Because the participants aren't divided into two groups of control group vs treatment group. This is an observational survey in which the researchers are asking each participant about the alcohol consumption level (independent variable) and how it may be tied to the risk of cancer (dependent variable).
======================================================
Part B
The population appears to focus on all women between the ages of 50 and 64.
The sample of the 1.28 million women is not the population, but rather, it ideally tries to approximate the population the best it can.
======================================================
Part C
The independent variable is the alcohol consumption rate, i.e. how much beer/wine/etc was consumed. Think of it like the variable x as the input of a function.
The dependent variable is the cancer rate. It's similar to the y output of a function. The dependent variable depends on the independent variable; hence the name. The study is trying to see if altering the amount of alcohol somehow alters the rate of cancer.
Keep in mind that cancer is still a very ongoing subject of research. Unfortunately we still have a lot to learn about it. Despite this, it's highly unlikely that alcohol is the direct cause of cancer. So instead, we consider that these variables are correlated in some way even if a link is found/proven. Other factors need to be considered such as
fitness leveldiet, other than the alcohol consumptionenvironmental factors other than the alcohol consumption (eg: does the woman live nearby an industrial plant perhaps?)geneticspossibly other factors I haven't thought of to list hereA random sample of 35 business students required an average of 50.7 minutes to complete a statistics exam. Assume that the population standard deviation to complete the exam was 10.4 minutes. The 95% confidence interval around this sample mean is ________. Group of answer choices (48.9, 52.5) (49.8, 51.6) (47.3, 54.1) (45.4, 56.0)
Answers
Answer:
(47.3, 54.1)
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.95}{2} = 0.025\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.
\(M = 1.96\frac{10.4}{\sqrt{35}} = 3.4\)
The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3
The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1
The answer is (47.3, 54.1).
Solve the equation 6(2p+2)=120
Answers
Answer:
p=9
Step-by-step explanation:
6(2p+2)=120
6(2p)+6(2)=120
12p+12=120 1. subtract 12 on both sides
12p=108 2. divide 12 on both sides
p=9
Answer:
p=9
Step-by-step explanation:
Here is the most simple way to solve:
Instead of distributing the 6 into the parenthesis, you can simply divide both sides by 6:
\(6(2p+2)=120\\\frac{6(2p+2)}{6} =\frac{120}{6}\)
\(2p+2=120\)
Subtract each side by 2 to isolate the variable:
\(2p+2=20\\2p+2-2=20-2\)
\(2p=18\)
Divide both sides by 2 to have the coefficient of the variable be 1 (Because thats how we solve these kinds of equations!)
\(2p=18\\\frac{2p}{2} =\frac{18}{2} \\p=9\)
Have a good day! :)
What number decreased by 40 is 5 times that number?
Answers
Answer:
-10
Step-by-step explanation:
Let the number be x
x - 40 = 5x
⇒ -40 = 5x - x
⇒ 4x = -40
⇒ x = -40/4
⇒ x = -10
Answer:
-10
Step-by-step explanation:
Let the number be x
x - 40 = 5x
4x = -40
x = -10
A fair spinner is red, blue, green, and white. During an experiment, a person spins the spinner, and the color that it lands on is recorded. The spinner lands on red 4 times as often as it lands on blue. The spinner lands on blue twice as often as it lands on green, and it lands on green as often as it lands on white. A) Create and complete a probability distribution table of the four colors. B) Draw a bar graph to represent the probability distribution
Answers
Answer:
So we know green and white are equal and blue is twice as much as that and red is four times more then that
Step-by-step explanation:
Green:1
White:1
Blue:2
Red:8
added together that makes 12
green:8.3
white:8.3
blue: 16.6
red: 66.4
HELP PLEASE!!! (Look at the picture)
In the right triangle shown, what is the value of PQ?
P 17 cm
Q 15 cm
A. 2 cm
B. 4 cm
С. 8 cm
D. 16 cm
Answers
a right triangle had side lengths d,e,and f as shown below. use these lengths to find sin x cos x and tan x
Answers
Cos X=D/F
Tan X= E/D
Using soh-cah-toa we know sin is opposite/ hypotenuse. Cos is adjacent/ hypotenuse. And tan is opposite/ adjacent
Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
Answers
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
For more such questions on interest
https://brainly.com/question/25720319
#SPJ8
help me please!!!!!!!!!!
Answers
-7.21 < - 7.18 < -7.09 < 6.99 < 7.15
Step-by-step explanation:
-7.21
-7.18
-7.09
6.99
7.15
Use the Distributive Property to simplify
1/7 x (56 - 1/4)
Answers
Answer:
7.96428571429
Step-by-step explanation:
Round you the nearest number.
I just muiltpyied 1/7 with 56 and -1/4 .
Plz mark branliest
Solve 3+n/9=6
N=9
N=27
N=81
N=3
Answers
Answer:
Option 2 (N= 27 )
Hope it helps!
Please mark as brainliest :D
100 Points! Algebra question, only looking for an answer to B. Photo attached. Please show as much work as possible. Thank you!
Answers
F/g • x
Fx/g is the answer.
Apply the fraction rule:
\(\text{a}\times\dfrac{\text{b}}{\text{c}} =\dfrac{\text{a}\times\text{b}}{\text{c}}\)
Answer:
\(\longrightarrow\boxed{\bold{\frac{\text{fx}}{\text{g}}}}\)
PLEASE HELP :( WILL GIVE bRAINLIEST
Answers
Answer: im gonna say D srry if it wrong
Step-by-step explanation:
Answer:
answer is b because water evaporates
i need help with this question parts d and h
Answers
We can see from the question that the graph of the function is as follows:
We can see that this is a piecewise function, and we can see that to find all x for which f(x) = -3, we can proceed as follows:
Part D1. We can see that the values of the domain of the function for which the function is equal to -3 go from x = 0 until x = 1 (not included). We can conclude this because we have a solid circle that indicates that the function takes this value for x = 0, x = 0.1, and so on. The open circle indicates that the function does not take the value of y = -3 when x = 1.
Therefore, we can conclude that all values of x for which f(x) = -3 are given, in interval notation as follows:
\([0,1)\)Part hWe know that the range of a function is those values for y that we obtain for the function using the domain values of the function.
We can see from the graph that the values of the function go as follows:
\(\begin{gathered} (-\infty,0)\rightarrow[0,\infty)\text{ } \\ \\ [0,1)\rightarrow y=-3 \\ \\ [1,\infty)\rightarrow y=[4,\infty) \end{gathered}\)Therefore, we can conclude that the range of the function is, in interval notation as follows:
\([0,\infty)\cup\lbrace-3\rbrace\)Therefore, in summary, we have:
Part D
Beth’s motor scooter gets 110 km/gal. How far can she go on 2.5 gal. of fuel?
Answers
Answer:
275
Step-by-step explanation:
110 x 2.5 = 275
If 110 km is one gallon, you would multiply 110 by 2.5, and that's what i did above.
Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Two years ago, she had been at the hospital for twice as long. How long has each been at the hospital?
Answers
5 years longer then Bill, 2x5=10.
10+2=12.
12-5=7
Hoang has be there for 12 years. Bill has for 7 years.
Jaxon is flying a kite, holding his hands a distance of 3.25 feet above the ground and letting all the kite’s strings play out. He measures the angle of elevation from his hand to the kite to be 24∘. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer: 46.0 ft
Step-by-step explanation:
\(\sin 24^{\circ}=\frac{x}{105}\\\\x=105\sin 24^{\circ}\)
So, the distance above the ground is \(105\sin 24^{\circ}+3.25 \approx \boxed{46.0 \text{ ft}}\)
A coin is tossed 100 times and head is obtained 59 times. On tossing a coin at random, the probability of getting a tail is?
Answers
Answer:
The answer is the chances of getting a tail is tossing 41 times
Answer:
41/100
Step-by-step explanation:
100/100-59/100
=41/100
PLZ HELP ME. 3 questions be my angel.
Answers
Answer:
82
Step-by-step explanation:
eat good
Which of the following terms represents the range of acceptable measurements?
A. Tolerance
B.
Uncertainty
C. D. Precision Accuracy
Answers
Answer:
what is mathmaties for in word
What is the ratio of 472 and 482?
Answers
Answer:
236:241
Step-by-step explanation:
how i got this is dividing each by a number that can fit into both (i did 2)
i hope this is correct
simplify fully (9(x+7))÷(3(x-1))
Answers
Answer:
3x + 60
Step-by-step explanation:
9(x + 7) ÷ 3(x - 1) =
9x + 63 ÷ 3x - 3 =
9x ÷ 3x + 63 - 3 =
3x + 60
Note: For the third equation which is 9x ÷ 3x and etc, you have to put alphabets and numbers at one side seperately to be able to simplify easily.