The distance of Josh throwing a javelin are normally distributed. What is thepercentage of these distances that are within 2 standard deviation of themean?
Answers
Josh's throwing follows a normal distribution curve according to the question. Therefore, we can say that the probability of his throws reaching certain distances is represented by the normal distribution.
The normal distribution is sketched below:
From the distribution curve shown above, his mean throw distance is at the center and has the largest percentage of occurrence because his throws are usually around that distance.
When we examine the curve even further, we shall see that after the first standard deviation
(σ), the range of values his throws can take increases. This time his throws can be around any value greater than: MEAN + σ.
But the question asks us for the percentage of his throw distances that are within 2 standard deviations. Thus, they are asking for the area of the whole curve EXCEPT the two shaded regions at the tails of the curve shown above.
The normal distribution percentages for each standard deviation is given below:
From the distribution above, we can see that his throws can either be lower than his mean or
greater than his mean.
Therefore, we can add the percentages together:
13.5% + 34% + 34% + 13.5% = 95%
Therefore the final answer is 95%
Related Questions
SOMEONE HELP PLEASE! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.
Answers
The parent square root function, f, is transformed to create function g.
g(x)=√x + 3 - 4
Which statement is true?.
OA. The graph of f is translated 3 units to the left and 4 units down.
OB.
The graph of f is translated 4 units to the right and 3 units down.
O C.
The graph of fis translated 4 units to the left and 3 units up.
The graph of f is translated 3 units to the right and 4 units up.
OD.
Answers
Step-by-step explanation:
The parent square root function is given by f(x) = √x. The function g(x) is obtained by applying the following transformations to the parent function:
Shift the graph 3 units to the left: f(x+3)
Shift the graph 4 units down: f(x+3)-4
Add a constant 3: f(x+3)-4+3 = f(x+3)-1
Take the square root: g(x) = √(f(x+3)-1) = √(√(x+3)-1)
Therefore, the graph of f is translated 3 units to the left and 1 unit down to obtain the graph of g. None of the given options accurately describe the transformation, so the correct answer is option E: None of the above.
what is the value of 4c×d÷d?
Answers
Answer: The correct answer is: " 4c ".
___________
Step-by-step explanation:
" 4c * d ÷ d " =
" (4c*d) /d " ;
= " (4cd) /d " ; The "d's" cancel out to "1" ; since "d ÷ d = 1 " ;
and we are left with: " 4c " .
___________
Hope this helps!
___________
Write as a mixed number 1 5/6 times 1 1/3=
Answers
Answer:
The answer is 2 4/9
Step-by-step explanation:
hope this helps
1 5/6 × 1 1/3= 22/9
22/9 as mixed number is 2 4/9
Answer: the answer is 11/6*4/3
Step-by-step explanation:
1 + cot^2 x is equivalent to
Answers
Answer:
csc^2x
Step-by-step explanation:
It's a trig identity where 1+cot^2x = csc^2x
What is the volume of this cylinder? 40yd 11yd
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Volume of the cylinder is 15197.60(to the nearest hundredth).
What is cylinder?
In mathematics, Cylinder is the basic 3d shapes, which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.
Given that the radius of the cylinder is 11yd.
and the height of the cylinder is 40yd.
Formula for the volume of cylinder is π × r² × h where π=3.14, r= radius and h= height.
Putting the values we get,
Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.
= 15197.6
Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).
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Explain the difference between a checking agreement and a checking account statement.
Answers
Here, we are required to explain the difference between a checking agreement and a checking account statement.
The difference between a checking agreement and a checking account statement first lies in the periodicity of checking account statements as opposed to checking agreements, the details of their content as explained in the short notes above, as well as the time of issuance of both documents.
To explain the difference, it is necessary to first define a checking agreement and a checking account statement as used in this context.
A checking agreement can simply be defined as a form required to be filled by a customer by the bank to open a checking account, with respect to the checking account, the agreements between an account owner and an obligor governing the terms and conditions of such account, as well as personal information of the customer intending to open the checking account. In this light, such agreements may be amended, modified or otherwise changed in its entirety from time to time.A checking account statement on the other hand, may simply be defined as a document provided to the consumer by a bank in lieu of the existence of a checking account opened in the customer's name. A checking account statement is used in providing record of money in and out of the checking account, interests as well as charges deducted from the account, not to mention instructions on relaying any complaint regarding the account. Checking accounts are highly liquid as money can be taken in or out via a variety of channels such as ATMs, Check deposit or withdrawals and so on, as such, the statement is usually heavy( on the average). Checking account statements are periodic.Ultimately, the difference between a checking agreement and a checking account statement first lies in the periodicity of checking account statements as opposed to checking agreements, the details of their content as explained in the short notes above, as well as the time of issuance of both documents.
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Pablo randomly picks three marbles from a bag of seven marbles (four red ones, two green ones, and one yellow one).
How many outcomes are there in the sample space?
How many outcomes are there in the event that all of the marbles he picks are red?
Answers
Answer:
354Step-by-step explanation:
You want to know the number of outcomes in the sample space when 3 marbles are chosen from 7. If four are red marbles, you want to know the number of outcomes when all chosen are red.
OutcomesThere are C(7,3) = 7!/(4!·3!) = 35 ways to choose 3 marbles from 7. Given that there are different colored marbles involved, not all of these outcomes are unique.
There are 35 possible outcomes.
3 RedThere are C(4, 3) = 4 ways to choose 3 red marbles from 4 red marbles.
There are 4 possible outcomes with all red marbles.
__
Additional comment
The 35 possible outcomes are ...
(RRR) - 4, (RRG) - 12, (RRY) - 6, (RGG) - 4, (RGY) - 8, (GGY) - 1
<95141404393>
The prior probabilities for events A1, A2, and A3 are P(A1) = 0.50, P(A2) = 0.20, and P(A3) = 0.30. The conditional probabilities of event B given A1, A2, and A3 are P(B | A1) = 0.50, P(B | A2) = 0.40, and P(B | A3) = 0.20. (Assume that A1, A2, and A3 are mutually exclusive events whose union is the entire sample space.)
Required:
Compute P(B â© A1), P(B â© A2), and P(B â© A3).
Answers
Answer:
P( B∩ A₁ ) = 0.25
P( B∩ A₂ ) = 0.08
P( B∩ A₃ ) = 0.06
Step-by-step explanation:
As we know that
P( B∩ A₁ ) = P( B| A₁) × P(A₁)
P( B∩ A₂ ) = P( B| A₂) × P(A₂)
P( B∩ A₃ ) = P( B| A₃) × P(A₃)
As we have
P(A₁) = 0.50, P(A₂) = 0.20, and P(A₃) = 0.30.
P(B | A₁) = 0.50, P(B | A₂) = 0.40, and P(B | A₃) = 0.20
⇒P( B∩ A₁ ) = P( B| A₁) × P(A₁)
= 0.50(0.50)
= 0.25
⇒P( B∩ A₁ ) = 0.25
Now,
⇒P( B∩ A₂ ) = P( B| A₂) × P(A₂)
= 0.40(0.20)
= 0.08
⇒P( B∩ A₂ ) = 0.08
Now,
⇒P( B∩ A₃ ) = P( B| A₃) × P(A₃)
= 0.20(0.30)
= 0.06
⇒P( B∩ A₃ ) = 0.06
∴ we get
P( B∩ A₁ ) = 0.25
P( B∩ A₂ ) = 0.08
P( B∩ A₃ ) = 0.06
6 increased by 14 divided by 7
Answers
Answer:
2
Step-by-step explanation:
I think it's 2 if it is wrong pls correct me
The line plot below shows the number of hours Mr. Jacobson spent writing for each of the last nine days.
Answers
Answer:
the answer is 4
Step-by-step explanation:
Answer:the answer is 34 3/4
Step-by-step explanation: i know it is the right answer
Someone please answer seriously k
Answers
If there are 42 boys and 12 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answers
Answer:
42:12
21:6
7:2
84:24
Step-by-step explanation:
You divide any number you want for both sides
Answer:
42:12, 21:6, 14:4, 7:2
Step-by-step explanation:
List out factors for 42 and 12
42: 1, 2, 3, 6, 7, 14, 21, 42
12: 1, 2, 3, 4, 6, 12
Find common factors
They have 1, 2, 3, 6 in common
42 = (1*42), (2*21), (3*14), (6*7)
12 = (1*12), (2*6), (3*4), (6*2)
Ratios = 42:12, 21:6, 14:4, 7:2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Select the correct answer.
68600
A) 6.86 × 104
C) 0.686 × 10²
B) 0.686 × 10¹
D) 6.86 x 10²
Answers
Answer:
A) 6.86×10⁴
Step-by-step explanation:
You want to write 68600 in scientific notation.
Expanded formThe number 68600 can be written in expanded form with exponents as ...
68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰
The left-most term of this sum tells you the exponent in scientific notation:
68600 = 6.86×10⁴
These box plots show daily low temperatures for a sample of days in two different towns.
Which statement is the most appropriate comparison of the spreads?
Answers
The most appropriate comparison of the spreads statement is:
B. The interquartile range (IQR) for town A, 20, is greater than the
IQR for town B, 10.
What do you mean by temperature?
The degree to which an object is hot or cold is measured by its temperature.
According to the given question,
We have the given information:
IQR = Q₃ - Q₁
For the town A:
Q₃ = 40 and Q₁ = 20
IQR of town A = 40 - 20 = 20
For the town B:
Q₃ = 30 and Q₁ = 20
IQR of town A = 30 - 20 = 10
Check the given options:
The most statement is appropriate comparison of the spreads is B.
B. The interquartile range (IQR) for town A, 20, is greater than the
IQR for town B, 10.
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calculate work by parts , (-24)+(-8)
Answers
(-32)
Step-by-step explanation:
(-24)+(-8)
= -24 -8
= -32
(5x + 10) + (2x -3) =
Answers
First simplify. Then do
7x + 7 =
7x = -7
x = -1
Answer:
7x + 7
Step-by-step explanation:
Which statement is most likely to be true for this distribution?
A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.
Answers
Answer:
B. The mean is less than the median.
Step-by-step explanation:
Calculate the mean: 2.8
Calculate the median: 3
Therefore, the mean is less than the median.
Movie executives want to know if a movie watcher’s heart rate increases when they watch certain types of movies. Subjects in the experiment were given a free movie ticket and randomly assigned to watch one of four movies: an action-adventure film, a horror film, a romantic comedy, or an animated children’s film. They measured the average heart rate of all subjects while watching the assigned film.
Which of the following is the most appropriate statistical test to use to test if the average heart rate of the movie watchers was different for the four types of movies?
A. Matched pairs t-test
B. Chi-squared test for independence
C. ANOVA
D. Two-sample t-test
E. Inference for regression
Answers
Answer:
The correct option is C
Step-by-step explanation:
ANOVA is the correct option because it can be used to carry out comparison of average of more than two groups
If you decide to study 4 hours more a week during your junior year (32 weeks) with the expectation of getting $2,000 scholarship to college how much is your study time worth per hour
Answers
Answer: You will get $2,000 for 128 hour, or 2,000/128 = $15.625 per hour study time.
Step-by-step explanation:
We will give the solution of the following problem:
"If you decided to study for four hours a week during your junior year (32 weeks) with the expectation of getting a $2,000 scholarship to college, how much is your study time worth per hour?"
In 32 weeks you will have total of 4*32 = 128 study hours.
You will get $2,000 for 128 hour, or 2,000/128 = $15.625 per hour study time.
Six people buy pumpkins for $5 each. How much is the total cost for all the pumpkins?
Answers
Answer:
$30
Step-by-step explanation:
6 people and each one buys a $5 pumpkin so we'll multiply
6x5=30 dollars
Answer:
if each person is buying one than 30 together but if there's no amount than who knows
Step-by-step explanation:
5×6=30
What is the value of x?
Enter your answer in the box.
x =
Answers
The side length RQ of the triangle QRT that is 'x' will be 4 units.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
In triangle ΔRST, the side RT is given by the sine of angle 60°. Then we have
sin 60° = (2√3) / RT
(√3)/(2) = (2√3) / RT
RT = 2 x 2(√3) / (√3)
RT = 4
In triangle ΔQRT, the side QR is given by the tangent of angle 45°. Then we have
tan 45° = RQ / RT
1 = x / 4
x = 4
The side length RQ of the triangle QRT that is 'x' will be 4 units.
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Jerry owns 60% of the stock in a private company. There are 1600 shares in the entire company. How many shares does he own?
Answers
To find how many shares Jerry owns we can use the rule of three:
\(\begin{gathered} 1600\rightarrow100 \\ x\rightarrow60 \end{gathered}\)then:
\(x=\frac{60\cdot1600}{100}=960\)Therefore he owns 960 shares.
Help Me Please I am Stuck
Answers
Step-by-step explanation:
there's the answer and if so please give me brainliest answer I need 4 more
Answer:
4/5 - 1/8 = 27/40
so C is 27/40
Step-by-step explanation:
Angie Adkins paid $95 for a used refrigerator, $115 fora used dining set and $240 for a used living room set. What was the total cost of the items?
Answers
Answer: 450
Step-by-step explanation: 95+115+240=450
A cylindrical soup can has a radius of 1.5 inches and holds 11.25π cubic
inches of soup. What is the height of the can to the nearest tenth?
Answers
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ V=11.25\pi \end{cases}\implies 11.25\pi =\pi (1.5)^2 h \\\\\\ \cfrac{11.25\pi }{\pi (1.5)^2}=h\implies 5=h\)
Solve each equation. State the restrictions. Check your solution.
1)
4
2x
=
5
x+6
Answers
Answer:
x = 7.2
Step-by-step explanation:
42=5x+6
42-6=5x
36=5x
36/5=x
7.2=x
Check your solution:
5(7.2)+6
36+6
42
5(7.2)+6 = 42
hope this helps!
Sort the polynomials according to whether they are prime or non-prime.
Prime Polynomials
6x³-5x²+2x-14
12-18+8²-12
6x² +9x2 +10x+15
12x²-3x+4x+7
Non-Prime Polynomials
Answers
Answer: first, second and fourth are primes, the third is not-prime.
Hope it helps :)
The height of the triangle is 4 meters longer than twice its base. find the height if the area of the triangle is 80 square meters. The height must be ___meters
Answers
Answer:
The height is 20 meters
Step-by-step explanation:
First set up the equation (Area)80=bh/2 then set up another equation, (height) h=4+2b (base). After this you can substitute h in the equation to end up with 80=(b(2b+4))/2 simplify it to get 80=b^2+2b then solve. The base is 8 meters, plug into the formula that we made before and you find the height is 20 meters.
Molly's scout troop sold 148 boxes of cookies last month and 165 boxes this month. Find the percent of increase, rounded to the nearest tenth of a percent.
Answers
The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.
How is the percentage increase determined?The percentage increase can be determined by finding the difference or the amount of increase in sales.
This difference is divided by the previous month's sales and multiplied by 100.
The total number of boxes of cookies Molly's Scout Troop sold last month = 148
The total number sold this month = 165
The increase = 17 (165 - 148)
Percentage increase = 11.5% (17 ÷ 148 x 100)
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