Using empirical rule, 99.85% of the data falls above 61
Data;
Mean = 67standard deviation = 3Empirical RuleUsing empirical rule, it states that 68% of data is within 1 standard deviation from the mean mean± standard deviation 95% of data falls within 2 standard deviations from the mean mean± 2* standard deviation and 99.7% of data falls within 3 standard deviations from the mean mean± 3sd . So we can say that 0.15% of data are below mean minus 3 * standard deviation and 0.15% of data are above mean+3sd. In this case, the mean is 67 , SD = 3.
And if 61 is 3×SD below mean
[tex]Pr(X > 61)=1-Pr(X\leq 61) = 1 - 0.0015 = 0.9985\\1-0.0015=0.9985[/tex]
99.85% of data is above 61
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Pls answerrrrrrrrrrrrrrrrrrrrrr
Answer:
13
Step-by-step explanation:
the two lines with y in them are the same length
6y = y+65
5y = 65
y = 13
The value of a car decreases linearly with time. The car was bought new for $62,000 and had a value of $41,000 after 6 years.
5
Type the correct answer in the box. Use numerals instead of words.
New York City has a population of approximately 8.8 million people with a population density of approximately 29,300 people per square mi
What is the approximate area of New York City to the nearest square mile?
The area of New York City is approximately
square miles.
Answer:
300 square miles (nearest square mile).
Step-by-step explanation:
Population Density formula
[tex]\sf Population\;Density=\dfrac{Number\;of\;People}{Land\;Area}[/tex]
Given values:
Total population = 8,800,000 people.Population density = 29,300 per square mile.Substitute the given values into the formula and solve for land area:
[tex]\implies \sf 29300=\dfrac{8800000}{Land\;Area}[/tex]
[tex]\implies \sf Land\;Area=\dfrac{8800000}{29300}[/tex]
[tex]\implies \sf Land\:Area=300.3412969...square\;miles[/tex]
Therefore, the approximate area of New York City is 300 square miles (nearest square mile).
Answer: 300
Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO
If Jyoti has 266 followers in 160 post's so how much followers should he gain in 1 post
Step-by-step explanation:
160 posts = 266 followers
then,
1 posts = 266/160
= 2.50 followers
Select one: A. 31.7 percent complete. B. 32.5 percent complete. C. 25.0 percent complete. D. 15.0 percent complete.
Can you please provide the question that goes with the answers? There can be no answer if there isn't a question
What is the measure of the angle x?
Answer:
40
Step-by-step explanation:
angle AOB= 2x=80
x=80/2
x=40
I NEED HELP ASAP!!!!!
An urn contains n balls, one of which one is special. If k of these balls are withdrawn one at a time, with each selection being equally likely to be any of the balls that remain at the time, what is the probability that the special ball is chosen
Using it's concept, it is found that the probability that the special ball is chosen is given by:
[tex]p = \frac{1}{C_{n,k}}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The total number of outcomes is given by the combination of k balls from the set of n balls, given by:
[tex]C_{n,k} = \frac{n!}{k!(n - k)!}[/tex]
One ball is special, hence the probability the special ball is chosen is given by:
[tex]p = \frac{1}{C_{n,k}}[/tex]
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A credit card had an APR of 25.67% all of last year and compounded interest daily. What was the credit card's effective interest rate last year?
a
28.25%
b
29.25%
c
28.92%
d
27.32%
Answer:
The answer is 29.25%.
Step-by-step explanation:
Which figure is not a prism?
Α.
B.
С.
D.
Answer:
D
Step-by-step explanation:
Prisms all have flat sides. The last image has curved sides so it is a cylinder and not a prism.
I need help please due in 10 min
Answer:
Step 1. Plot x and y-intercepts
Step 2. Draw a line through the points
y = -1/2x - 2
m, rise over run = -1/2
b, y-intercept = (0, -2)
x-intercept = (-4, 0)
y = -1/3x - 4m, rise over run = -1/3
b, y-intercept = (0, -4)
x-intercept = (-12, 0)
Hope this helps! Good luck!
The length of the longer leg of a right triangle is 13 m more than three times the length of the shorter leg. The length of the hypotenuse is 14 m more than three times the length of the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: 0 m Length of the longer leg: in Length of the hypotenuse:
Answer:17
Step-by-step explanation:
From a barrel of colored marbles you randomly select 7 blue, 5 yellow, 8 red, 4 green, and 6 purple marbles. Find the experimental probability of randomly selecting a marble that is NOT yellow. Write your answer in simplest form.
Answer:
5/6
Step-by-step explanation:
In total there are 7+5+8+4+6=30 marbles. you need to take out the yellow marbles that you counted into the total of 30 marbles which would be 25 marble. this means that there are 25 out of 30 marble you can select that is not yellow. which gives you the probability of 25/30 simplify it to get 5/6
please help me.. no links pls
Answer:27
Step-by-step explanation:
Its pretty simple. Perimeter is the addition of all the sides. Add 4+9+8+6 to get 27.
3) Write the inequality that
represents "owing $26.00 is
better than owing $147.00.”
6.NS.7b
Answer:
See belowStep-by-step explanation:
Owing represent a negative balance.
So the inequality for this case is:
- 26.00 > - 147.00The word owing is given which simply denotes to negative transaction
So here the inequality is
-26.00>-147.00Or
-147.00<-26.00The function f is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function?
A) f(x) = 1/2x^2-5x+21/2
B) f(x) = 1/2(x-3)(x-7)
C) f(x) = 1/2(x-5)^2-2
Write one of the zeroes
pls help im sorry this looks so messy
Hi! Just wondering if you could check if i got this right?
Answer:
Step-by-step explanation:
the answer is x = 24
3/4x+4=22
3x/4+4=22
3x/4+4=22
3x/4+4x4/4=22
3x/4+4x4/4=22
3x+4x4/4=22
x=24
What is the mean of the data set? 66, 71, 75, 83, 88, 89, 90, 91
A. 88
B. 85.5
C. 80
D. 81.625
Answer: D
Answer:
D
Step-by-step explanation:
You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the construction of a new style of dress that will take 180 hours of work to complete. Twenty percent of this time is for beading. Thirty-five percent of this time is for adding ruffles. The remaining time is divided equally between embroidery and sewing. When pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing. The dress is then sold in the showroom for 25% more than the cost of labor and materials. How much will this dress sell for in the boutique?
The amount at which the dress will sell for in the boutique is $6716.25.
What is the sellig price of the dress?The total cost of beading = 180 x 25% x $40 = $1800
The total cost of ruffles = 35% x 180 x $35 = 2205
Time left for making embroidery and sewing = (100% - 35% - 25%)/2 = 20%
The total cost of embroidery = 20% x 180 x $20 = $720
The total cost of sewing = 20% x 180 x $18 = $648
Total cost = 5373
Selling price = 1.25 x 5373 = $6716.25
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42.
If y = x2, then y' – 2x =
A.
2x
B.
4x
C.
00
D.
01
Answer:
C. 00
Step-by-step explanation:
Using power rule....
y = x²
y' = 2x
Solving for y' - 2x......
y' - 2x
2x - 2x
0
I hope this helps!
If a hypothesis is not rejected at the 5% level of significance, it a. will always be rejected at the 1% level b. will also not be rejected at the 1% level c. will sometimes be rejected at the 0.1% level d. will sometimes be rejected at the 1% level
Considering the p-value of the test, the correct option is:
b. will also not be rejected at the 1% level.
How do we reach the decision to reject or not reject the null hypothesis?It depends on the p-value of the test, as follows:
If the p-value is greater than the significance level, we do not reject the null hypothesis.If it is less than the significance level, we reject the null hypothesis.In this problem, the hypothesis is not rejected at the 5% level of significance, hence the p-value is greater than 0.05, which means that it will not be rejected at any level below 5% and option b is correct.
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Find the distance between the two points in simplest radical form (5,2)and (-3,-5)
Answer:
[tex]\sqrt{113}\\[/tex]
Step-by-step explanation:
[tex]distance= \sqrt{(5-[-3])^2+(2-[-5])^2}\\\\distance= \sqrt{(8)^2+(7)^2}\\\\distance= \sqrt{64+49}\\\\distance= \sqrt{113}\\[/tex]
Create a table, chart, or diagram that you can use to help you decide which hypothesis test you need to use (selecting from: population proportion, a population mean, two proportions from independent samples, two means from dependent samples, and two means from independent samples). Explain your table, chart, or diagram so that someone new to statistics could use it to select the appropriate hypothesis test.
A hypothesis testing is a statistical inference that uses data from a sample to draw conclusions.
What is hypothesis testing?It should be noted that hypothesis testing simply means a statistical act where an assumption is made regarding a parameter.
In this case, a hypothesis testing is a statistical inference that uses data from a sample to draw conclusions. The null hypothesis predicts no effect while the alternative hypothesis states the research predictions.
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Raphael buys one raffle ticket.
a total of 250 raffle tickets are sold.
One of these tickets will win the raffle.
Each ticket has an equal chance of winning the raffle.
(a) Write down the probability that Raphael's ticket will win the raffle
(b) Write down the probability that Raphael's ticket will not win the raffle
Answer:
There is a 1/250 chance that his ticket will be chosen
There is a 249/250 chance that his ticket will not be chosen
Step-by-step explanation:
Hope that helps!
What isbthe next number 324,256,196,144
plsss help ill give briliantest
Answer:
The answer is 310
Step-by-step explanation:
Example of distributive property of division
The 1,860 is broken down into 1800 & 60
1800 divided by 6 + 60 divided by 6
1800 divided by 6 = 300 + 60 divided by 6 = 10
300 + 10 = 310
The body temperature of adults are normally distributed with a mean of 98.6 f and a standard deviation of 0.71f what temperature represents the 95th percentile ?
V
Find the angle between v=i+2j+3k and w=4i-k.
:2
.
Answer:
86.28 degrees
Step-by-step explanation:
Angle between vectors is
[tex] \cos(x) = \frac{cross \: product}{magnitudes \: multiplied} [/tex]
The cross product is
[tex]4 + 0 - 3 = 1[/tex]
The magnitudes of first vector is
[tex] \sqrt{1 {}^{2} + 2 {}^{2} + 3 {}^{2} } = \sqrt{14} [/tex]
The second vector magnitude is
[tex] \sqrt{17} [/tex]
So the magnitudes multiplied is
[tex] \sqrt{14} \times \sqrt{17} = \sqrt{238} [/tex]
So our equation will be
[tex] \cos(x) = \frac{1}{ \sqrt{238} } [/tex]
[tex]x = \cos {}^{ - 1} ( \frac{1}{ \sqrt{238} } ) [/tex]
X is about 86.28 degrees
HI I am 10 years old and I need help with my math homework, here's what I need help with:
Pls help me it is do today
Answer:
1 1/4
Step-by-step explanation:
Answer:
5/4 or 1 1/4
Step-by-step explanation:
1 3/4 - 2/4 = 1 1/4 or 5/4
Solve the following quadratic equation by factorin
x - 12x + 35 = 0
2
x? -
The solution set is {}.
(Simplify your answer. Type each solution only
Answer:
(x - 5)(x - 7x)
Step-by-step explanation:
x - 12x + 35 = 0
x - 12x + 35 = 0
x - 5x - 7x + 35= 0
x ( x - 5) -7x(x + 5)
(x - 5)(x - 7x)
