The normal curve shown represents the sampling distribution of a sample mean for sample size n = 25, selected at random from a population with standard deviation \sigma_xσ x . Which of the following is the best estimate of the standard deviation of the population, \sigma_xσ x ?
The best estimate of the standard deviation of the population is 75
How to determine the estimate of the standard deviation of the population?The given parameter is:
Sample size, n
The estimate of the standard deviation of the population is calculated using:
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
This gives
[tex]\sigma_x = \frac{\sigma}{\sqrt 25}[/tex]
Evaluate the square root
[tex]\sigma_x = \frac{\sigma}{5}[/tex]
Multiply both sids by 5
[tex]\sigma = 5\sigma_x[/tex]
From the normal curve, we have:
[tex]\sigma_x = 15[/tex] -- the difference between the scores
So,we have:
[tex]\sigma = 5 * 15[/tex]
[tex]\sigma = 75[/tex]
Hence, the estimate of the standard deviation of the population is 75
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You went out to lunch with three friends and your subtotal was $42 not including the sales tax of 6%.
Calculate what the total bill would be with the sales tax.
Answer:
It's DEFINITELY 2.52
Step-by-step explanation:
Change 6% to a decimal, which will be .06! Times $42 Times.06 and you'll end with the answer $2.52 !!!
Help plz:)))I’ll mark u Brainliest
[tex]\frac{245 g SO2 }{} \frac{1 mol SO2 }{64.07 g SO2} \frac{1 mol H2SO3}{1 mol SO2 } \frac{82.09 g H2SO3}{1 mol H2SO3} =314 g H2SO3[/tex]
Step-by-step explanation:
2) What mass of Sulfurous acid is produced, when 245g of Sulfur Dioxide is
reacted with water?
H2O + SO2 → H2SO3
↓ ↑
mol → mol
SO2 H2SO3
\frac{245 g SO2 }{} \frac{1 mol SO2 }{64.07 g SO2} \frac{1 mol H2SO3}{1 mol SO2 } \frac{82.09 g H2SO3}{1 mol H2SO3} =314 g H2SO3
Blake drew a circle with an area of 1256 cm2. What is the diameter of that circle?
At a game show, there are 7 people (including you and your friend) in the front row.
The host randomly chooses 3 people from the front row to be contestants.
The order in which they are chosen does not matter.
There are 7C3=35 ways to choose the 3 contestants.
What is the probability that you and your friend are both chosen?
A. 2/3
B. 5/35
C. 2/35
D. 3/35
Answer:
I think it is B
Step-by-step explanation:
Sorry if it is wrong
The probability that the person and his friends are chosen is 5/35, the correct option is B.
What is Probability?Probability is the likeliness of an event to happen.
There are 7 people (including you and your friend) in the front row.
The host randomly chooses 3 people from the front row to be contestants.
The ways that you both will be chosen is given by ²C₂
The ways in which one more person will be chosen from the rest 5 people is given by
⁵C₁
The number of ways in which the person and his friend is chosen along with the other one person is given by
⁵C₁ * ²C₂ = 5
The ways in which 3 contestants will be chosen from 7 people is 35
So, Probability = 5/35
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MATHEMATICS helpp
please giving brainliest
Answer:
360 cm^3
Step-by-step explanation:
Since the height of the block must be 6cm, and the length is 10cm, and the depth is 6cm, the volume must be 6 * 10 * 6 = 360cm^3
5) There are six boys and six girls in a class.
The teacher randomly selects one student
to answer a question. Later, the teacher
randomly selects a different student to
answer another question. The first student
is a boy and the second student is a girl.
Answer:
the probability is here down hope you will see
Find the circumference of the coin. Use 3.14 or 22/7 for pi. Remember to have the correct units.
1) Show work on how you got your answer!
2) NO LINKS!
3) NO silly answers!
~Hocus Pocus
Answer: 12.56 cm
Step-by-step explanation:
Pi looks like this π or 3.14 or 22/7
A formula for circumference is: C = 2π r
The radius or r listed in the diagram is 2cm.
1) Plug r into the equation...
C = 2π 2
2) Simplify the equation
C = 4π
3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)
However both answers come out to be 12.56
what is 10.1 = 8+7m plsssssss i neeed help
Answer:
m= 0.3
Step-by-step explanation:
10.1 = 8 + 7m
-8 -8
2.1 = 7m
2.1/7 = 0.3
Answer:
Subtract 8 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
m=0.3
help meee plzzzz
i dont know what this is
The answer is D, always remember SOH CAH TOA :)
A hospital directed collects data on birth weight of newborn babies born in the maternity ward the Director find that the birth weights are approximately normally distributed with a mean of 3300 grams and a standard deviation of 525 grams the empirical rule states that in a normal distribution 68% of values are within one standard deviation of the mean 95% of values are within two standard deviation of the mean and 99.7% of values are within three standard deviations of the mean based on empirical rule what percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams
Answer:
97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The normal distribution is symmetric, which means that 50% of the values are below the mean and 50% are above.
In this problem, we have that:
Mean of 3300, standard deviation of 525.
What percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams?
2250 = 3300 - 2*525
2250 is 2 standard deviations below the mean.
Of the 50% of the weights below the mean, 95% are going to be greater than 2250(less than 2 standard deviations of the mean).
Of the 50% of the weights above the mean, 100% are going to be greater than 2250.
So
[tex]p = 0.5*0.95 + 0.5 = 0.975[/tex]
0.975*100% = 97.5%
97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.
Find out how long it takes a $2900 investment to double if it is invested at 9% compounded quarterly. Round to the nearest tenth of a year.
Answer:
7.8 years
Step-by-step explanation:
Formula
[tex]PV(1+\frac{i}{n})^{nt}[/tex]
we have
[tex]2900(1+\frac{.09}{4})^{4t}=5800\\1.0225^{4t}=2\\4t=log_{1.0225}2\\4t=31.1518\\t=7.787957[/tex]
Which rounds to
7.8
Solve for x then find the measure of arc GF.
Answer:
Step-by-step explanation:
180 = x + 135 + x + 65
-20 = 2x
-10 = x
x = -10
GF = 55°
Ajogger goes 0.3 km east and then turns south. If the jogger finishes 0.5 km from the starting point, how far south did the jogger go?
Answer:
he went 0.2km south
Step-by-step explanation:
Answer:
He went 0.2km south.
Step-by-step explanation:
Your welcome!
‼️‼️‼️‼️‼️PLEASEEE HURRY ‼️‼️‼️‼️ Use the drop-down menus to explain how to determine the angle measures of any triangle that is
similar to triangle DEF. Click the arrows to choose an answer from each menu.
Answer:
Step-by-step explanation:
70 115 180-25
SOMEONE PLEASE HELP ANYONE !
Answer:
x² - y²
Step-by-step explanation:
√x⁴ =x²
= x² - y²
Find the volume of the solid
Answer:
Volume of the given pyramid is 68 mm³.
Step-by-step explanation:
Figure given in the picture is a pyramid.
And volume of a pyramid is given by the formula,
Volume = [tex]\frac{1}{3}(\text{Area of the base)(\text{Height})}[/tex]
Area of the base = 68 mm²
Height of the pyramid = 3 mm
Therefore, volume of the pyramid = [tex]\frac{1}{3}(68)(3)[/tex]
= 68 mm³
Volume of the given pyramid is 68 mm³.
Use the completing the square method to transform the equation 2.2 + 2x = 13 into an equation of the form
(2 + a)? = b, where Q and bare real numbers. What are the values of Q and br?
Answer:55
Step-by-step explanation:
he perimeter of a triangle is 240 feet. The second side is twice as long as the first side. The third side is 40 feet more than the first side. Find the measure of the first side. *
Answer:
66 2/3
Step-by-step explanation:
Let x be the length of the first side
Length of first side: x
Length of second side: 2x
Length of third side: x + 40
x + 2x + x + 40 = 240
3x = 240-40
3x = 200
x = 200/3
x = 66 2/3 (this is a mixed fraction)
find the axis of symmetry of the parabola
1. 5 times a number decreased by 12 equals 62. What is the number?
Equation:
Solution:
2. One-half of a number is 8. What is the number?
Equation:
Solution:
help me please..tnx
A report from 2015 claims that the average salary of a server is $12 per hour. You collect data from a random sample of 30 servers in Atlanta and calculate the average salary for servers from your sample to be $11.00 with a standard deviation of $2.80. Conduct a hypothesis test to determine if the true average hourly wage of a server is different than the claim of $12.
Answer:
Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96 we conclude that true average hourly wage of a server is not different than the claim of $12.
Step-by-step explanation:
The null and alternate hypotheses are
H0: u= 12 against the claim Ha: u≠ 12
Taking significance level alpha = 0.05
The critical region is z= ± 1.96 for two tailed test
The sample size = n= 30
The sample mean = 11
Sample standard deviation= 2.80
Applying z- test
Z= x-u/s/√n
z= 11-12/2.8/√30
z= -1/0.5112
z= -1.956
Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96 we conclude that true average hourly wage of a server is not different than the claim of $12.
what is the answer for a+b-c?
please help me i don’t have much long on this test
Answer:
C. 248 square meters
Step-by-step explanation:
2(10 x 6) + 2(10 x 4) + 2(6 x 4)
= 120 + 80 + 48
= 248 [tex]m^2[/tex]
Answer:
c. 248
Step-by-step explanation:
2(6×4 + 10×4 +10×6) = 248
please help me........
Answer:
it's in the link on the other comment
Step-by-step explanation:
it's in the link on the other comment
Marcus weighs 45.5 kg what is his weight in grams
Answer: 45500
Step-by-step explanation: 45.5*1000, 1 kg=1000g
Answer:
45500
Step-by-step explanation:
please comment on his
What is the system of linear equations graphed below?
Answer:
It's:
y = [tex]-\frac{1}{2}x + 1[/tex]
y = -2x - 4
Hope this helps!
Use the model to represent 80% as a fraction in simplest form.
0 A 9
10
O
В.
83
100
O
C.
4
5
o
D.
15
20
Answer: 45.
Step-by-step explanation:
Answer:
80% of 100 in fraction form is 4/5
Step-by-step explanation:
which expression is represented by the phrase "9 less than 5 times a number"?
If you want to find how much liquid a container will hold, you want to find the _____.
area
circumference
square feet
volume
Answer:
volume
Step-by-step explanation: