Answer:
m = -5/4
Step-by-step explanation:
inserted picture below with the question and details. please help!
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Answer:
316.2 m/s
Step-by-step explanation:
What the problem statement doesn't tell you is that the value of m in the formula must have units of kilograms. 17 grams is 0.017 kilograms, so the velocity is ...
[tex]v=\sqrt{\dfrac{2K}{m}}=\sqrt{\dfrac{2(850)\text{ J}}{0.017\text{ kg}}}=\sqrt{100\,000}\text{ m/s}\approx316.2\text{ m/s}[/tex]
_____
Additional comment
If you simply put the numbers into the formula without regard to correct units, you might be led to believe the velocity is 10 m/s. That would be the speed of a 17 kg object with an energy of 850 J.
Help pls I’ll give extra pointz
Answer:
The answer is (A) decreases
The price of a video game was reduced from $60 to $45. By what percentage was the price of
the video game reduced?
F 15%
G 25%
H 75%
4096
Someone please help
Answer:
G. 25%
Step-by-step explanation:
given : The price of a video game was reduced from $60 to $45 .
$60 - $45 = $15
then, the percentage was the price of the video game reduced :-
reduction in price/previous price x 100 = 15/60 x 100 = 25%
the percentage was the price of the video game reduced = 25%
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it. You randomly ask 20 Greensboro voters whether they support the bond referendum. The standard error of the sample proportion is _____. The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is _____. Group of answer choices 0.0993; 0.6000 0.0993; 0.0951 0.1095; 0.1170 0.1095; 0.8830
Answer:
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
73% of voters support it.
This means that [tex]p = 0.73[/tex]
Sample of 20 voters
This means that [tex]n = 20[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.73[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993[/tex]
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is
12/20 = 0.6, so this is the p-value of Z when X = 0.6.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.6 - 0.73}{0.0993}[/tex]
[tex]Z = -1.31[/tex]
[tex]Z = -1.31[/tex] has a p-value of 0.0951.
So
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951
Given that,
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it.
You randomly ask 20 Greensboro voters whether they support the bond referendum.
We have to determine,
The standard error of the sample proportion is.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is .
According to the question,
There is a school bond referendum in Greensboro, and 73% of voters support it.
20 Greensboro voters whether they support the bond referendum.
To find standard deviation of sample proportion.
[tex]standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
Where, p = 73% = 0.73
And n = 20
Therefore,
[tex]Standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}\\\\ Standard \ deviation = \sqrt{\dfrac{0.73(1-0.73)}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.73\times 0.27}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.19}{20}}\\\\Standard \ deviation = 0.0098[/tex]
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is,[tex]\dfrac{12}{20 }= 0.6[/tex]
This is the p-value of Z when X = 0.6.
Therefore,
[tex]Z = \dfrac{X-\mu}{\sigma}\\\\Z = \dfrac{0.6-0.73}{0.993}\\\\Z = -1.31\\\\[/tex]
Z = -1.31 has a p-value of 0.0951.
Hence, The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
To know more about Probability click the link given below.
https://brainly.com/question/24248147
What is the perimeter of a square with a side length of 9 meters?
Answer:
36 meters
Step-by-step explanation:
A square has equal side lengths, and a total of 4 sides, so
9 times 4 is equal to 36.
Remember your units!
PLEASEEEEEEEEEEEEE HELPPPPPPPPPPPPPPP AM GOING TO FAIL
Answer:
2b + 10
Step-by-step explanation:
Plz help me well mark brainliest if correct!!....ñ
Answer:
Option B.
Step-by-step explanation:
Have a great day!
you don’t have to give Brainliest ;)
A mechanical engineer is creating a new composite carbon fiber material made from two different materials. The strength of the carbon fiber material depends on how much pressure it can withstand, and it follows a standard normal distribution. The new carbon fiber material will be slated for research and development purposes if it can withstand more than 2.45 standard deviations above the mean of pressure compared to the individual materials. Fiber material that withstand less than 2.45 standard deviations above the mean of pressure when compared to the individual materials are not of research interest. What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
Answer:
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials?
2.45 standard deviations above the mean is Z = 2.45, so this probability is the p-value of Z = 2.45.
Looking at the z-table, Z = 2.45 has a p-value of 0.9929.
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
30 POINTS AND BRAINLIEST Alexis needs to paint the four exterior walls of a large rectangular barn. The length of the barn is 80 feet, the width is 50 feet, and the height is 30 feet. The paint costs $28 per gallon, and each gallon covers 420 square feet. What is the area of the barn Alexis needs to paint? ______________ Explain how you found your answer.
Answer:
It will cost $532 to paint the barn
Step-by-step explanation:
First we need to find the area of the barn's walls.
2 (length x height) + 2 (width x height)
=2 (80x30) + 2 (50x30)
=2 (2400) + 2(1500)
=4800+3000
=7800 ft^2
Now we can find the amount of gallons needed, then the total cost.
7800 ft^2/420 ft^2
=18.57 gallons
=19 gallons
19 gallons x $28
=$532
Answer:
520
Step-by-step explanation:
Area:
[tex]2(80*30) + 2(50*30) = 7800[/tex]
Price
[tex]\frac{7800}{420}*28 = 520[/tex]
find the value of x 3,9,10,8,7,x the mean is 7
All else being equal, if you cut the sample size in half, how does this affect the margin of error when using the sample
to make a statistical inference about the mean of the normally distributed population from which it was drawn?
zes
ME=
O The margin of error is multiplied by 0.5
O The margin of error is multiplied by a
O The margin of error is multiplied by 0.5.
O The margin of error is multiplied by 2.
Answer:
The margin of error is multiplied by 4.
Step-by-step explanation:
Margin of error is:
[tex]M = \frac{zs}{\sqrt{n}}[/tex]
In which z is related to the confidence level, s is elated to the standard deviation and n is the sample size.
From this, we have that the standard deviation is inversely proportional to the square root of the sample size.
If you cut the sample size in half:
The margin of error is inversely proportional to the square root of the sample size, so if you cut the sample size by [tex]\frac{1}{2}[/tex], the margin of error will be multiplied by [tex]2^2 = 4[/tex]
So
The margin of error is multiplied by 4.
Geometry help needed!
Answer:
AC Midpoint (2,0)-
CB Midpoint (5,-4)
midlength is 5
Step-by-step explanation:
midpoint formula [tex](\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})[/tex]
A(2,4) C(2,-4)
[tex]\frac{2+2}{2} =\frac{4}{2}=2\\\frac{4-4}{2} =\frac{0}{2} =0[/tex]
(2,0)
C(2,-4) B(8,-4)
[tex]\frac{8+2}{2} =\frac{10}{2} =5[/tex]
[tex]\frac{-4-4}{2} =\frac{-8}{2} =-4[/tex] midpoint is (5,-4)
Distance between the 2 midpoints is the midsegment
(2,0) and (5,-4)
[tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}) ^{2} }[/tex]
[tex]d=\sqrt{(5-2)^{2} +(-4-0)^{2} } \\d=\sqrt{3^{2} +(-4^{2})\\ } \\d=\sqrt{x} 9+16\\d=\sqrt{25} \\d=5[/tex]
which area 100 km or 60km
Answer:
100km
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
The price of a ticket to attend a show is $28.50. In addition to the ticket price, Laurence had to pay a service fee of 10% and a sales tax
of 6%. The service fee and sales tax are each applied to the original price of the ticket
How much did Laurence pay in total?
Enter your answer in the box.
Answer:
HI!!
Step-by-step explanation:
Which number completes the table for y = x^2?
a.) -9
b.) 9
c.) 6
d.) -6
Answer:
B
Step-by-step explanation:
We can substitute the x value given, -3, into our equation, y = x^2, to get what the y would be:
y = x^2
y = (-3)^2
When a negative number is squared, it is positive, so (-3)^2 = 9, and:
y = 9
This is option b
Answer:
B) 9
Step-by-step explanation:
We are given the equation y = x^2 for the table, and a x value.
To find the y value that corresponds to that x value, we must plug the x value in the equation.
Y =x^2
Y= -3^2
Y=9
What is the value of r, in inches?
7 in.
B
1403
30°
D
21
X
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Answer:
A. 7√3
Step-by-step explanation:
The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Here, the shortest side is 7, and x is the next-longer side.
x = 7√3
How many times greater is the value of 5 in 532,874 than the value of 451,073?
Answer:
10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Step-by-step explanation:
NEED HELP ASAP! WILL GIVE BRAINLY :)
Answer:
y = x - 3
Step-by-step explanation:
Slope = Rise / run
Slope = 4/4 = 1
y-intercept = -3
y = x - 3
PLEASE I NEED HELP URGENT I Will MARKE YOU BRAIN LIST
Answer:
1. 0
2. a/ a + b
3. a + b/ a - b
Help !!!! I don’t understand
Answer:
[tex](g\ o\ f)=-20x+10[/tex]
Step-by-step explanation:
One is given the following functions:
f(x) =5x + 2
g(x) = 4x + 2
One is asked to find the following:
[tex](g\ o\ f)(x)[/tex]
One can rewrite this operation as the following:
g(f(x))
In essence, one substitutes in function (g) in place of the parameter (x), and solves to find the new function formed.
[tex]g(f(x))\\\\=g(-5x+2)\\\\=4(-5x+2)+2[/tex]
Simplify, distribute, multiply every term in the parenthesis by the term outside of it, then simplify,
[tex]=-20x+8+2\\\\=-20x+10[/tex]
The segments shown below could form a triangle.
A. True
B. False
Answer:
true
Step-by-step explanation:
Suppose Hailey has taken four exams and made 86, 94, 76, and 81. If each exam counts equally, what does Hailey need to make on her fifth test to have an overall average of 85?
Answer:
She has to get a score of 88 on that test
Step-by-step explanation:
Take the average of the other grades, and that gives you 84.25. So she has to think about what rating she gives it is 85, and the rating is 88.
Hailey needs to score an 88 on the last exam in order to get an average of 85.
The overall average is the mean and the mean is calculated by adding up all the scores and then dividing by the number of exams.
There are 5 exams but only 4 scores. The 5th score will be denoted, "x" and the average we are looking for is 85.
The fifth score should therefore be:
Overall score = Sum of 5 exams / 5
85 = (86 + 94 + 76 + 81 + x) / 5
85 x 5 = 337 + x
425 = 337 + x
x = 425 - 337
= 88
In conclusion, Hailey needs a score of 88 on the fifth exam.
Find out more at https://brainly.com/question/17031271.
Please help asap urgent! 20 pts!
Answer:
the mean of those numbers is 17.1
Answer:
The M.A.D (mean absolute deviation) is 2.3
Bonus (Just in case you need it): The Mean is 17.1
Have a good day!
can anyone solve this rq, it’s due tonight?
Answer:
The slope represents the change/rise is the yearly imcome based on age. The y-intercept is the amount that they make when they first get a job.
Step-by-step explanation:
What is the value of the expression shown? 10 - 16:2
[tex]10 - 16 \div 2[/tex]
which set of side lengths can form a triangle?
А: 2 cm, 2cm. 6 cm
B:3 cm 6 cm, 9 cm
C:4 cm, 8 cm, 5 cm
D:8 cm, 3 cm, 4 cm
Answer:
C:4 cm, 8 cm, 5 cm
Step-by-step explanation:
sum of length of any two sides of a triangle will be larger than the third side.
40% is NOT equivalent to....?
A. 0.4
B.2/5
C.40/100
D. 0.04
E. None correct
Answer:
d
Step-by-step explanation:
d is .04 percent plz mark branliest
How many times longer I s on be mile that one foot
Answer:
5,280 times
hope this helps
have a good day :)
Step-by-step explanation:
Calculate the radius or diameter in each of the following problems.
1) d = 8.3 mm
Calculate the radius of the circle.
Answer:
4.15
Step-by-step explanation:
the radius is half the diameter so 8.3/2
=4.15mm
Answer:
4.15
Step-by-step explanation:
radius is the half of the diameter so 8.3/2 is 4.15
Find the measure of the arc or angle indicated. NO LINKS.
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Answer:
10. A) 120°
11. D) 40°
12. D) 54°
13. A) 101°
Step-by-step explanation:
The applicable rules of angles and arcs are ...
the whole is the sum of the partsarcs of a circle total 360°an inscribed angle intercepts an arc of twice its measure__
10) Angles C and L intercept the same arc (DE) so will have the same measure.
15x = 16x -4
4 = x . . . . . . . . add 4-15x
arc DE = 2(15x) = 30(4) = 120 . . . degrees
__
11) Arc VW is twice the measure of angle X, so ...
9x +8 = 2(5x)
8 = x . . . . . . . . . subtract 9x
∠VXW = 5x = 5(8) = 40 . . . degrees
__
12) Arc EFG is twice the measure of angle W, so ...
70° +FG = 2(88°)
FG = 106° . . . . . . . . . subtract 70°
Arc FGW is twice the measure of angle E, so ...
106° +GW = 2(80°)
GW = 54° . . . . . . . . . . subtract 106°
__
13) Arc ST is twice the measure of angle R. The sum of arcs is 360°.
RS +ST +TR = 360°
119° +2(70°) +TR = 360°
TR = 101° . . . . . . . . subtract 259°