Answer:
36
Step-by-step explanation:
36 is the only one that is a perfect square, via 6*6
83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard deviation of 2.4. Construct a 90% confidence interval for the population standard deviation.
Answer:
[tex]\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}[/tex]
[tex] 4.525 \leq \sigma^2 \leq 7.602[/tex]
Now we just take square root on both sides of the interval and we got:
[tex] 2.127 \leq \sigma \leq 2.757[/tex]
Step-by-step explanation:
Information given
[tex]\bar X=32.1[/tex] represent the sample mean
[tex]\mu[/tex] population mean (variable of interest)
s=2.4 represent the sample standard deviation
n=83 represent the sample size
Confidence interval
The confidence interval for the population variance is given by the following formula:
[tex]\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}[/tex]
The degrees of freedom given by:
[tex]df=n-1=8-1=7[/tex]
The confidence level is 0.90 or 90%, the value of [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and we can use excel, a calculator or a table to find the critical values.
The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:
[tex]\chi^2_{\alpha/2}=104.139[/tex]
[tex]\chi^2_{1- \alpha/2}=62.132[/tex]
The confidence interval is given by:
[tex]\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}[/tex]
[tex] 4.525 \leq \sigma^2 \leq 7.602[/tex]
Now we just take square root on both sides of the interval and we got:
[tex] 2.127 \leq \sigma \leq 2.757[/tex]
What two integers is the square root of 84 between?
7 and 8
8 and 9
9 and 10
Answer:
9 and 10
Step-by-step explanation:
We know that 9 can be expressed as √81, and 10 is equal to √100, and because 81 < 84 < 100, it is in between 9 and 10. Hope this helps!
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answer:
The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
In this case we can apply a rule of three to calculate the time it'll take for the 32 electricians to finish the job. This is done below:
24 electricians -> 36 days
32 electricians -> x days
We have to be careful here, since the variables are inversely proportional, since if there are more electricians working on the same job, we expect the job to be finished in fewer days, therefore we need to invert one of the fractions as shown below:
[tex]\frac{24}{32} = \frac{x}{36}\\32*x = 36*24\\x = \frac{864}{32}\\x = 27[/tex]
The 32 electricians are expected to finish the job in 27 days.
Answer:
27
Step-by-step explanation:
You ask a friend to think of a number from 8 to 15. What is the probability that his number will be a multiple of three?
show work pls tnx!
Answer:
Step-by-step explanation:
numbers are 8,9,10,11,12,13,14,15
total events(numbers)=8
multiples of 3 are 9,12,15
or favorable events are 9,12,15
number of favorable events=3
P=3/8
Assuming a motorcycle traveled 80 miles in 5 hours at a constant speed, How far did it go in 1 hour?
Answer:
16 miles
Step-by-step explanation:
We can write the ratio of miles:hours as 80:5 using the given information. Because we want to find the distance of 1 hour, we can divide the ratio by 5 (because 5/5 is 1, and we want 1 on the "right side") which gets us 16:1. This means that the motorcycle traveled 16 miles in one hour. Hope this helps!
Answer:
16 miles in 1 hour
Step-by-step explanation:
We can use ratios to solve
80 miles x miles
------------------- = ------------------
5 hours 1 hours
Using cross products
80*1 = 5x
Divide each side by 5
80/5 = 5x/5
16 =x
16 miles in 1 hour
Marianne’s box for camp measures 24 inches by 24 inches by 14 inches. Will her field hockey stick , which is 1 yard long , fit in the box ? Explain your answer
Answer:
Yes
Step-by-step explanation:
1 yard is approximately 3 feet. The hypotenuse of the base (24 x 24) of the box is 33.94 inches. Then the hypotenuse of the Base's hypotenuse and the height of 14 inches is 36.72 inches, which is just over 3 feet, so the stick should fit.
Please HELP QUICK
I need help solving this equation -11p²-4=0
Answer:
p = sqrt 11 + 4
Step-by-step explanation:
(−4, 4) to the line y=−2x+1
Answer:
that is not a point to the line
Step-by-step explanation:
Jason is planning to replace carpet in the utility room of his house the length of the room is 8 feet and the width of the room is 7 feet how many square feet of carpet does jason need
Given Information:
Length of room = l = 8 feet
Width of room = w = 7 feet
Required Information:
Amount of carpet = ?
Answer:
Amount of carpet = 56 ft²
Step-by-step explanation:
Jason wants to replace the carpet in the utility room of his house.
We are given the dimensions of the room and we are asked to find the required amount of carpet in square feet.
The required amount of carpet is given by
[tex]A = w\times l[/tex]
where w is the width of room and l is the length of the room.
[tex]A = 7\times 8\\\\A = 56 \:[/tex]
Therefore, Jason need 56 square feet of carpet for the utility room.
22. 48.6% of the North Dakota population over 18 years old is female.
65.9% of the total population of North Dakota over 18 years old has
enrolled in college at some point in their lives. If these two events are
independent of each other, what is the probability that a randomly
selected adult in North Dakota will be a female who has enrolled in
college, to the nearest percent.
Answer:
32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.
Step-by-step explanation:
We have these following probabilities:
48.6% probability that a randomly selected adult in North Dakota is a female.
If a randomly selected adult in North Dakota is over 18, 65.9% probability that they have enrolled in college at some point in their lives.
These events are independent.
This means that to find the probability that a randomly selected adult in North Dakota will be a female who has enrolled in college, we can just multiply these probabilities.
P = 0.486*0.659 = 0.32 = 32%
32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.
Answer:
the probability that a randomly selected adult in North Dakota will be a female who has enrolled in
college is 32%
Step-by-step explanation:
Given;
48.6% of the North Dakota population over 18 years old is female
P(f) = 48.6% = 0.486
65.9% of the total population of North Dakota over 18 years old has enrolled in college at some point in their lives;
P(c) = 65.9% = 0.659
Since, these two events are independent of each other, the probability that a randomly selected adult in North Dakota will be a female who has enrolled in
college is;
P(f∩c) = P(f) × P(c) = 0.486 × 0.659 = 0.320274
P(f∩c) = 0.32
P(f∩c) = 32%
what is the answer = 8w- 8 - 6w = 4w - 7
w= ??
Answer:
- 1/2 (or - 0.5)
Step-by-step explanation:
so first, simplify by combining like terms.
so 8w-6w = 2w
so now we have
2w - 8 = 4w - 7
now we have to get the w's to one side of the equation so we can solve for it. so that mean we have to subtract 2w from both sides. 2w - 2w is 0. and then 4w - 2w = 2w. so now we have
-8 = 2w - 7
then to slowly start isolating w, add 7 to both sides of th equation. so now its
-1 = 2w
finally to get w by itself divide 2 from both sides.
and the answer is
-[tex]\frac{1}{2}[/tex] = w
Henry is diving off a diving board that is 7m above the water. After 2 seconds, he reaches his maximum height of 9m above the water. What height will Haney be after 5 seconds?
Answer:
22.5m,
2+2=4
therefore:
9+9=18
and to get 2 to equal 1 half it,
half of 9= 4.5, add it to 18 , and you have 22.5.
:)
sorry for any mistakes, I'm not that good, but i thought i could manage this :)
Please helo me ASAP!!!
Answer:
17.6
Step-by-step explanation:
Formula= sumfx÷sumf
sumfx= 63×0+34×0+27×1+13×2=53
sumfx=0+0+1+2=3
53÷3= 17.6
final answer =17.6
Eva can type 120 words in 3 minutes. If w represents the number of words she can type in 8 minutes, what proportion could NOT be used to find the value of w?
Answer:
minute per words because it would be in accurate.
9(2.3n+6)+10.45>43.7
Answer:
Step-by-step explanation:
9(2.3n+6)+10.45>43.7
(9*2.3n)+(9*6)+10.45>43.7
20.7n+54+10.45>43.7
20.7n+64.45>43.7
Help me please it due tomorrow!!!!
Please and Thank you!!!
Thank you
Reading the story, that's just
2c + j - d = $9 + $9 + $70 - $8 = 88 - 8 = $80
Answer: $80
Answer:
$80
Step-by-step explanation:
$9+$9= $18
$18 + $70= $88
$88 - $8= $80
5x-4(3x-9)-2 I just can’t get the question right
Answer:
[tex] - 7x + 34[/tex]
Step-by-step explanation:
[tex]5x - 4(3x - 9) - 2 \\ 5x - 12x + 36 - 2 \\ = - 7x + 34[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
-7x + 34
Step-by-step explanation:
Hopefully this is simplify...
5x - 12x + 36 - 2
-7x + 34
Find the area of a parallelogram with base b = 19 in. and height h = 15 in.
A) 68 in.2
B) 285 in.2
C) 34 in.2
D) 142.5 in.2
Answer:
B) 285 in.2
Step-by-step explanation:
Reason 19 x 15 = 285 in.2
I have 5 blue pants and 6 pants with a zipper. If I have 9 pants that are either blue or have a zipper or both, how many pants are both blue and with a zipper
Answer:
2
Step-by-step explanation:
Blue pants: 5
Zipper pants: 6
total amount of pants (blue, zipper or both): 9
to find the pants that have both qualities, we need to find the difference between the total amount of pants and the sum of the blue and zipper pants:
sum of blue and zipper pants: 5 + 6 = 11
you can tell that there is a difference of
11 - 9 = 2 pants
this means that these 2 pants belong to both categories (blue and with a zipper). Thus there are 2 pants that are blue and have a zipper
Dan has $2.50 in cash that he can leave as a tip. His bill can be no more than what amount if his tip
is to be appropriate?
he can be no cash in his account
According to a recent survey, the mean income before taxes of consumer units (i.e., households) in the U.S. was $60,533 with a margin of error equal to 1406.32 (for a 95% confidence level). Calculate a 95% confidence level for the population mean income before taxes for all U.S. consumer units.A (58,681.82, 62,384.18)B (57,776.61, 63,289.39)C (59,097.98, 61,968.02)D (59,126.68, 61,939.32)E (60,166.92, 60,899.08)
Answer:
D (59,126.68, 61,939.32)
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound. These bounds depend of the sample mean and of the margin of error.
The lower bound is the sample mean subtracted by the margin of error.
The upper bound is the margin of error added to the sample mean.
In this question:
Sample mean: 60,533
Margin of error: 1406.32
Lower bound: 60,533 - 1406.32 = 59,126.28
Upper bound: 60,533 + 1406.32 = 61,939.32
So the correct answer is:
D (59,126.68, 61,939.32)
amiee wants to order DVDs from amazon each DVD costs 8.49 and shipping for the entire order is 5 dollars she only has 70 dollars to spend how many DVDs can she order
In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?
Answer:
325,452 more meteors fell during the Perseid meteor shower
Step-by-step explanation:
An year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Minutes in an year:
365*24*60 = 525600
Persoid:
[tex]1 + \frac{1}{5} = 1 + 0.2 = 1.2[/tex]
One each 1.2 minutes. How many during an year?
1 meteor - 1.2 minutes.
x meteors - 525600 minutes.
[tex]1.2x = 525600[/tex]
[tex]x = \frac{525600}{1.2}[/tex]
[tex]x = 438000[/tex]
438,000 meteors fell during the Persoid shower.
Leonid:
[tex]4 + \frac{2}{3} = 4.67[/tex]
One each 4.67 minutes. How many during an year.
1 meteor - 4.67 minutes.
x meteors - 525600 minutes.
[tex]4.67x = 525600[/tex]
[tex]x = \frac{525600}{4.67}[/tex]
[tex]x = 112548[/tex]
112,548 meteors fell during the Leonid Shower.
How many more meteors fell during the Perseid meteor shower?
438,000 - 112,548 = 325,452
325,452 more meteors fell during the Perseid meteor shower
Hi children!! please find the area of this shape thx!!!
Answer:
maybe 25
Step-by-step explanation:
If you rearrange the shape it makes it in to a square and you would just need to mutiply.
what is the eighth multiple of 12
Answer:
96
Step-by-step explanation:
eighth multiple of 12 = 12 * 8 = 96
Answer:
96
Step-by-step explanation:
12×1=12
12×2=24
12×3=36
12×4=48
12×5=60
12×6=72
12×7=84
12×8=96
The midpoint between (–4, 8) and (0, 10) is (x, y). What is x?
Answer:
x = -2
Step-by-step explanation:
The x coordinate of the midpoint is found by adding the x coordinates together and dividing by 2
( -4+0)/2 = -4/2 = -2
The y coordinate of the midpoint is found by adding the y coordinates together and dividing by 2
( 8+10)/2 = 18/2 = 9
please help with math
Answer:
Step-by-step explanation:
diameter d=18 m
r=18/2=9 m
circumference=2πr=2π×9=18π square meters.
what is the answer to 2s+(−4s)=?
Answer:
-2s
Step-by-step explanation:
Answer:
-2s
Step-by-step explanation:
2-4 is equal to negitive 2
-2
and since they are like terms with the s, the answer is
-2s
hope this helps! ;)
I need help with this it's for my E2020 class
Answer:
[tex]f = \frac{ - 6g}{5} [/tex]
Step-by-step explanation:
6f + 9g = 3g + f
6f - f = 3g - 9g
5f = - 6g
[tex]f = \frac{ - 6g}{5} [/tex]
Answer:
B
Step-by-step explanation:
Complete 1 for 5 points.
Answer:
Because if you multiply fractions you get a smaller number! for instance: (1/2)*(1/2)=(1/4) so you get a much smaller value. you merely multiply across so the denominator gets smaller.