Final answer:
The value of n, or the number of trials in a binomial experiment, affects the shape of the binomial probability histogram. As n increases, the histogram becomes more symmetric and bell-shaped, reflecting the Central Limit Theorem. The correct answer is (c): as n increases, the binomial distribution becomes more bell-shaped.
Explanation:
The shape of the binomial probability histogram is indeed influenced by the value of n, which stands for the number of trials in a binomial experiment. As the value of n increases, the distribution becomes more symmetrical and tends to resemble a normal distribution. Specifically, the correct statement regarding the effect of n on the shape of the histogram is: as n increases, the binomial distribution becomes more bell-shaped. Therefore, the correct answer to the student's question is (c).
When the sample size n is small, the histogram may appear skewed left or right, depending on the probability of success p. However, as n becomes larger (especially when both np and n(1-p) are greater than 5), the distribution's shape becomes more symmetric due to the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases.
Overdraft protection means the bank will loan you the money needed to cover the check that cannot be covered by funds in the account. True or false ASAP HELP PLEASE
True. Overdraft protection is a service offered by banks to their customers. When your account does not have enough money to cover a transaction, overdraft protection allows the bank to loan you the necessary funds to complete the transaction.
If you make a purchase or withdrawal that exceeds your account balance, the bank will cover the shortfall by lending you the needed amount. This ensures the transaction goes through, but typically comes with fees or interest. While convenient, it can lead to extra costs if used frequently.
Overdraft protection may apply to debit card purchases, checks, or automatic bill payments, depending on the account settings. Some banks offer this service automatically, while others require customers to opt in. It's a useful safety net but should be used responsibly to avoid accumulating unnecessary charges.
Which ordered pair is the best estimate for the solution of the system of equations?
y=−34x−2y=x+6
(−4.25,1.5)
(−4.75,1.75)
(−4.5,1.5)
(−4.5,1.75)
The best estimate for the solution of the system of equations is (-4.5, 1.5).
Explanation:The system of equations given is:
y = -34x - 2
y = x + 6
To find the best estimate for the solution, we can substitute the x-coordinate from each ordered pair into the second equation and solve for y.
Let's check each option:
For (-4.25, 1.5):
1.5 = -4.25 + 6
1.5 = 1.75 (not equal)
This is not a solution for the system.
For (-4.75, 1.75):
1.75 = -4.75 + 6
1.75 = 1.25 (not equal)
This is not a solution for the system.
For (-4.5, 1.5):
1.5 = -4.5 + 6
1.5 = 1.5 (equal)
This is a solution for the system.
For (-4.5, 1.75):
1.75 = -4.5 + 6
1.75 = 1.5 (not equal)
This is not a solution for the system.
Therefore, the best estimate for the solution of the system of equations is (-4.5, 1.5).
A study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of people with only a high school diploma. The results were published claiming that graduating from college ensures you will make more money over the course of your lifetime. What is the problem with reporting results this way?
Missing data
Correlation and causality
Answer:
Step-by-step explanation:
Given that a study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of people with only a high school diploma.
The results were published claiming that graduating from college ensures you will make more money over the course of your lifetime.
Only means should not be compared. variances of each sample should be ascertained and test for comparison of two means to be done to conclude that one mean is greater than the other.
Hence here problem is correlation and causality.
Find an angle between 0 and 2π that is coterminal with 27 pi/10
Suppose an investment of $2,300 doubles in value every decade. The function gives the value of the investment after x decades. f(x)=2300*2^x How much is the investment worth after 2 decades?
(1 point)$2,355,200
$92,000
$46,000
$9,200
The investment is worth $9,200 after 2 decades.
Explanation:To find the value of the investment after 2 decades, we can substitute x = 2 into the function f(x) = 2300 * 2^x.
So, f(2) = 2300 * 2^2 = 2300 * 4 = 9200.
Therefore, the investment is worth $9,200 after 2 decades.
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Which point lies in the plane represented by the equation 2x + 7y + 3z = -25?
(–3, 3, –2)
(–6, –4, 5)
(6, 1, –3)
(6, 1, 2)
The point which satisfy the equation 2x + 7y + 3z = -25 will be (–6, –4, 5). The correct option is C.
What is an equation of plane?The equation of the plane is defined as the plane has three variables. Having the coordinates in all three dimensions. The general form of the equation of the plane is ax + by + cz = d.
The given equation of plane is 2x + 7y + 3z = -25.
Check the point which satisfies the equation of the plane. Take the point ( -6,-4,5).
2x + 7y + 3z = -25.
2 ( -6 ) + 7(-4) + 3(5) = -25
-12 - 28 + 15 = -25
-40 + 15 = -25
-25 = -25
Therefore, the point which satisfy the equation 2x + 7y + 3z = -25 will be (–6, –4, 5). The correct option is C.
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10 points!
Which graph represents the solution to the system of inequalities?
2x – y ≥ 3
x + 2y < 4
Answer:
graph c is the correct answer hope this helps you get an A.
What context clue in the paragraph best helps in understanding the meaning of the word native?
Question 2 options:
"much in America"
"lived in Nantes, France"
"first in France"
"born in Louisiana"
what is the missing number in the synthetic division problem below?
(everything in picture)
In the given problem , missing number in the synthetic division is equal to [tex]10[/tex].
What is synthetic division?" Synthetic division is defined as simplified way of dividing a polynomial by another polynomial of first degree by writing its coefficient and changing usual subtraction into addition."
According to the question,
As shown in the given synthetic division,
[tex]4 + 20 = 24\\\\-2 + 6 = 4[/tex]
Therefore,
Missing number in the given synthetic division [tex]= 2+ 8[/tex]
[tex]=10[/tex]
Hence, Option (C) is the correct answer.
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what is y−4=−2(x+7) written in standard form?
How to find x in this math problem?
draw a number line from 0 to 2 write 3\8 1 and 3\4 and 1.25 on the number line,
Shannon collects charms for her charm bracelet. her charm bracelet had 4 charms when she bought it. each year on her vacation she buys 2 more charms to add to her bracelet. assume that shannon continues to buy the same number of charms each year. write an equation that can be used to find how many charms shannon will have on her bracelet after 5 years.
Read the word problem.
Caryn buys 3 bottles of juice. Kip buys 2 bottles of juice. Kip’s mother buys twice as many bottles of juice as Caryn and Kip combined. How many bottles of juice did Kip’s mother buy?
Which type of word problem is shown?
part-whole
comparison
multiplication
division
Solve the equation 2cos^2x = sin2x , giving your answer in terms of π. 0
Given is [tex] 2*cos^{2} (x)=sin(2x) [/tex]
We can use following formulas to solve this problem :-
1. [tex] \frac{sin\;\theta}{cos\;\theta} = tan\;\theta [/tex]
2. sin(2∅) = 2·sin(∅)·cos(∅)
Solving the given equation :-
[tex] 2*cos^{2} (x)=sin(2x) \\\\2*cos^{2} (x)=2*sin(x)*cos(x) \\\\2*cos^{2} (x)-2*sin(x)*cos(x)=0 \\\\2*cos^{2}(x)*(1-\frac{sin(x)}{cos(x)}) =0 \\\\2*cos^{2}(x)*(1-tan(x)) =0 \\\\cos^{2}(x) = 0 \;or\; (1-tan(x)) =0 \\\\cos(x) = 0 \;or\; tan(x) =1 \\\\x = cos^{-1}(0) \;or\; x=tan^{-1}(1) \\\\x=\frac{\pi}{2} \;or\; x=\frac{\pi}{4} [/tex]
Hence, final answer is [tex] x=\frac{\pi}{2} \;or\; x=\frac{\pi}{4} [/tex].
A license plate is to consist of 4 digits followed by 2 uppercase letters. determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted.
There are [tex]728000[/tex] possibilities of different licence plates.
The License plate is consist of [tex]4[/tex] digits followed by [tex]2[/tex] uppercase letters, i,e,
We have [tex]6[/tex] digits so let's first check the choices of letter or digits over that.
Consider [tex]1[/tex]st Digit , according so question it should be odd so the choices we have for [tex]1[/tex]st Digits are [tex]1,3,5,7,9[/tex] i.e, [tex]5[/tex] choices we have as repitition not allowed.
Now consider [tex]2[/tex]nd Digit , according so question it should be odd so the choices we have for [tex]2[/tex]nd Digits are [tex]4[/tex] because [tex]1[/tex] odd digits has been used in [tex]1[/tex]st Digit.
[tex]3rd[/tex] digit - [tex]2[/tex] digits has been used in [tex]1[/tex]st and [tex]2[/tex]nd digits so [tex]8[/tex] choices left.
[tex]4th[/tex] digit - This is left with [tex]7[/tex] choices.
[tex]5th[/tex]- On this [tex]2[/tex] uppercase letters required so choices we have are [tex]26[/tex].
[tex]6th[/tex]- On this we have to use uppercase so [tex]25[/tex] choices are left as repitition not allowed.
So Possibility of different license [tex]5 \times 4\times\times 8\times 7\times26\times 25=728000[/tex]
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In the triangle below, 4/5 represents which ratio?
Please help!
Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that both cards are spades? Are these events independent?
A. 1/17: no, they are dependent events
B. 1/16: yes, they are independent events
C. 25/52: yes, they are independent events
D. 3/52: no, they are dependent events
4. decide which of the following sports can be the most beneficial in achieving cardiovascular fitness . ( 1point )
A . soccer
b. baseball
c. football
d. golf
BRAINLIEST ANSWER RN!!!!!!! HELP ME PLZZ!!!!!
A cylinder tube with caps on both ends is used to safely carry a rolled up poster. The tube is 42 inches tall with a radius of 1.5 inches. If one mini can of spray paint covers 150 square inches, how many mini spray cans of red paint would be needed to cover the entire tube?
A. 3
B. 2
C. 1
D. 4
A lab is conducting a test to see if people prefer chocolate A or chocolate B. The steps in the test are outlined below: Step 1. Recruit one hundred volunteers and tell them the purpose of the study. Step 2. Give them chocolate A and ask them to rate the flavor. Step 3. Give them chocolate B and ask them to tell how delicious it is. Step 4. Reveal which chocolate they preferred. Which step could lead to biased results?
Answer:
Step 3
Step-by-step explanation:
By asking the participants how delicious chocolate B is, you can possibly create bias in the test. It is a leading question; these should not be asked to avoid creating bias.
Please answer this and thank you
If DE=4x+10, EF=2-1, and DF=9x-15, find DF.
How do you decide which variable to isolate in order to use the substitution method to solve a system of linear equations?
The way to decide which variable to isolate in order to use the substitution method to solve a system of linear equations is;
to look for the variable with no coefficient or least coefficient and then isolate it and use substitution to solve the simultaneous equation.
A system of linear equations can be solved by three major methods which are;
- Elimination method
- Substitution method
- Graph method
Now, in this question we want to know how substitution method is done.
Let us say we have two simultaneous equations which are;
2x + 3y = 8 ----(eq 1)
x + 5y = 11 ----(eq 2)
Now, in this method, we need to first isolate a variable in one of the equations by making it the subject of formula there. Usually, we go with the variable that has no coefficient first.
In this case, it is x that has no coefficient in eq 2 and as such, we will isolate it to get;
x = 11 - 5y
In conclusion, the way we decide which variable to isolate in substitution method of simultaneous equations is to look for the variable with no coefficient or least coefficient.
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What is the number of pi?
Pi is a very special number in math and it’s so special that it even gets its own symbol. Mathematicians found out that when you try to write down what pi is, the decimal points keep going and going. This means that it’s impossible to find all the digits of pi.
I will only write down some digits.
π = 3.1415926535897932384626
The length of a rectangular garden is 7 feet longer than its width. if the garden's perimeter is 182 feet, what is the area of the garden in square feet?
The explicit rule for a sequence is an=14-9n
What is the recursive rule for the sequence?
The explicit rule for the sequence is [tex] a_{n}=14-9n [/tex]
Let us put n=1, we get
[tex] a_{1}=14-(9 \times 1)=5 [/tex]
Now let n=2,
[tex] a_{2}=14-(9 \times 2)=-4 [/tex]
Let n=3,
[tex] a_{3}=14-(9 \times 3)=-13 [/tex]
Similarly, in this manner we obtain a sequence as
5, -4, -13, -22,.....
Since we can clearly observe that the first term is '5' and common difference is '-9'.
So, we get recursive rule for the sequence as:
[tex] a_{n}=a_{n-1}-9 [/tex] , where [tex] a_{1}=5 [/tex].
Please help me on this....
Fred is a weightlifter who can lift 800 pounds on 45% of his attempts. which of these expressions represents the probability fred will make 30 lifts out of 60?
The average length of the eight words Betty was asked to spell was 9 letters. The first seven words had the following lengths: 8 letters, 9 letters, 6 letters, 10 letters, 7 letters, 9 letters, and 11 letters. What was the length of the eighth word?
Solve for z. 7-~-3z+2=4 What is the root? If there is no root, choose none.
Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3
7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~
Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little werid, just plug (7/3) in for z and you will get 4, trust me
The root of the given equation 7-[tex]\sqrt{3z+2}[/tex] = 4 is z = 7/3
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, an equation 7-[tex]\sqrt{3z+2}[/tex] = 4
Solving for z,
7-[tex]\sqrt{3z+2}[/tex] = 4
[tex]\sqrt{3z+2}[/tex] = 3
Squaring both sides,
3z + 2 = 9
3z = 9-2
3z = 7
z = 7/3
Hence, the root of the given equation 7-[tex]\sqrt{3z+2}[/tex] = 4 is z = 7/3
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