Answer:
The sample mean hours per week spent studying for statistics is 7.55 hours.
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean μ is:
[tex]CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}[/tex]
The 95% confidence interval for the population mean hours per week that students spend studying for statistics was (6.83, 8.27).
Compute the sample mean hours per week spent studying for statistics as follows:
[tex]\frac{\text{UL + LL}}{2}=\frac{(\bar x+ z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}})+(\bar x- z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}})}{2}\\\\\frac{8.27+6.83}{2}=\frac{2\cdot \bar x}{2}\\\\7.55=\bar x[/tex]
Thus, the sample mean hours per week spent studying for statistics is 7.55 hours.
Find g(x) if it is known that g(2t)=8t−1.
Answer:
g(x) = 4x - 1
Step-by-step explanation:
Linear function in the format: g(x) = ax + b
g(2t) is a*(2t)+b
g(2t) = 8t - 1 means that:
when x = 2t, g = 8t - 1.
So
Equaling both sides
8t - 1 = a*2t + b
So
b = -1,
and
2a = 8, a = 8/2, a = 4
So
g(x) = 4x - 1
ANYONE PLZZZ THSI IS DUE IN AN HOUR!!!!! Will mark the brainliest
Answer:
A is correct.
Step-by-step explanation:
Left figure's area = base x height = L x h x 6 = 6Lh
Right figure's area = L x h + L x h + L x h + L x h + L x h + L x h = 6Lh
Hope this helps!
:)
Which is the closet to the volume of the concrete needed to fill the pillar?
Answer:
c) 21.4
Step-by-step explanation:
9.5 times 1.5 times 1.5 is 21.375 or 21.4 rounded
Find the surface area of the cylinder. Round your answer to the nearest hundredth.
A. 569.26 in2
B. 724.34 in2
C. 795.45 in2
D. 1,707.77 in2
Answer:
C. 795.45 in^2
Step-by-step explanation:
The formula for the surface area of a cylinder is ...
SA = 2πr^2 +2πrh = 2πr(r +h)
For r=6 and h=15.1, the surface area is ...
SA = 2π(6)(6 +15.1) = π(12)(21.1) = 253.2π
SA ≈ 795.45 . . . . square inches
A bag of fertilizer covers 3000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular lawn 230 feet by 180 feet
Answer:
14 bags
Step-by-step explanation:
Dimension of lawn : 230 feet by 180 feet
area of rectangle is given by length * width
Since lawn is rectangular area of lawn = 230 feet * 180 feet = 41,400 sq. feet
Given that one bag of fertilizer covers 3000 square feet of lawn.
Thus , to find no. of bags required to cover whole lawn will be
total area of lawn/area which one bag of fertilizer covers
no. of bags required to cover whole lawn = 41,400 sq. feet/3000 sq. feet
= 13.8 bags.
As no. of bags cannot be fractional , hence rounding bag to nearest unit place is 14 bags.
About how many inches wide is the toolbox?
[tex]7.2 in. \: gum \: wrappers[/tex]
[tex]12.49in. \: shoelaces [/tex]
[tex]4.579in. \: paperclips[/tex]
Answer FAST PLS!!!!!
Answer: 24
Step-by-step explanation:
7+12+5=24
Answer:
24
Step-by-step explanation:
I need help with this??
a bakery receives 100 loaves of bread each day of the week. The table below displays how much is spent each day last week. The bakery uses FIFO. It had 125 loaves of bread left on Friday afternoon, what is the current value of its stock
Answer:
$275
Step-by-step explanation:
Day Price Unit price
Monday $245 $2.45
Tuesday $315 $3.15
Wednesday $275 $2.75
Thursday $200 $2.00
Friday $225 $2.25
the first in, first out (FIFO) method uses the price of the oldest units to determine the cost of goods sold:
the ending inventory should = 100 units purchased Friday + 25 units purchased Thursday = (100 x $2.25) + ($25 x $2) = $225 + $50 = $275
Answer: $375
Step-by-step explanation:
If you could help me, please answer the attachment below.
What is the number of permutations for a 4 digit number using the digits 0 – 9, if numbers cannot be repeated.
Answer:
Number of permutations for a 4 digit number using the digits 0 – 9 (10 available digits in total), supposing numbers cannot be repeated, is calculated by:
10P4 = 10!/(10-4)! = 5040
Hope this helps!
:)
Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has
been consistent each year,
VX
Wins
Losses
18
2
45
5
36
4
27
X
Using the information in the table, how many losses should he predict for next year if the number of games won is 272
1
ОО
3
6
9
Save and Exit
Next
Submit
Mark this and return
Answer:
3
Step-by-step explanation:
you have to multiply by 9.
2times9=18,5times 9=45,4times 9=36,
3times9=27.
Simplify ⁴√5x times ⁴√2x
Answer:
[tex]\sqrt[4]{10x2}[/tex]
Answer:
⁴√10√x
Step-by-step explanation:
⁴√5x*⁴√2x
⁴√5x = ⁴√5⁴√x
=⁴√5 ⁴√x⁴√2x
⁴√2x = ⁴√2⁴√x
=⁴√5⁴√2⁴√x⁴√x
⁴√x⁴√x = x1/4x1/4 = x1/4+1/4
=⁴√5⁴√2⁴x1/4+1/4
1/4+1/4 = 1/2
=⁴√5⁴√2⁴√x
⁴√5⁴√2⁴ = ⁴√5*2
=⁴√5*2√x
5*2 = 10
= ⁴√10√x
Consider random samples of size 40 from a population with proportion 0.15.
(a) Find the standard error of the distribution of sample proportions.
Round your answer for the standard error to three decimal places.
mean=______
standard error=_______
(b) Is the sample size large enough for the Central Limit Theorem to apply?
1. Yes
2. No
Answer:
a) The mean is 0.15 and the standard error is 0.056.
b) 1. Yes
Step-by-step explanation:
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 proportions p, in samples of size n, the mean is [tex]\mu = p[/tex] and the standard error is [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]. The Central Limit Theorem applies is np > 5 and np(1-p)>5.
In this question:
[tex]n = 40, p = 0.15[/tex]
So
(a) Find the mean and the standard error of the distribution of sample proportions.
[tex]\mu = 0.15, s = \sqrt{\frac{0.15*0.85}{40}} = 0.056[/tex]
So the mean is 0.15 and the standard error is 0.056.
(b) Is the sample size large enough for the Central Limit Theorem to apply?
np = 40*0.15 = 6 > 5
np(1-p) = 40*0.15*0.85 = 5.1>5
So yes
The standard error of the distribution of sample proportions is 0.056 and mean is 0.15.
Yes, the sample size is enough for the Central Limit Theorem to apply.
(a). Given that, size of sample, [tex]n=40[/tex]
Proportion, [tex]p=0.15[/tex]
In the distribution of sample proportions, mean [tex]\mu=p[/tex]
and, standard error = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
So, mean [tex]\mu=0.15[/tex]
Standard error =[tex]\sqrt{\frac{0.15(1-0.15)}{40} }=0.056[/tex]
(b). The Central Limit Theorem applies if np > 5 .
[tex]np=40*0.15=6>5[/tex]
Thus, the Central Limit Theorem is applied.
Learn more:
https://brainly.com/question/22233199
The line that passes through the point (2, −8) and has a slope of −1 is given by the equation y + = (x − ).
Answer:
8 = -1 (x - 2)
:)
Answer:
8 = -1 (x - 2)
Step-by-step explanation:
Triangle PQR is similar to triangle FGH.
Solve for n.
QP:10.5
QR:9
RP:6
GF:7
HF:4
GH:n
Answer:
n = 6
Step-by-step explanation:
See attachment for diagram
Triangle PQR is similar to triangle FGH.
Similar triangles are similar in shape but different in size.
The ratio of their corresponding sides are equal.
QP=10.5
QR=9
RP=6
GF=7
HF=4
GH=n
(Hypotenuse in ∆PQR)/ (hypothenuse in ∆FGH)
=(Adjacent in ∆PQR)/(adjacent in ∆FGH)
= 6/4 = 9/n
Cross multiply
6×n = 9×4
6n = 36
n = 36/6
n = 6
Therefore ratio of their corresponding sides = 3/2
Is the relationship shown by the data linear? If so, model the data with an equation x: -7,-5,-3,-1 y: 5,9,13,17
Answer:
Y = 2X + 19
Step-by-step explanation:
the relationship is linear
gradient equals 2
A newspaper article is summarized: According to a new study, teachers may be more inclined to give higher grades to students, hoping to gain favor with the university administrators who grant tenure. The study examined the average grade and teaching evaluation in a large number of courses given in 1997 in order to investigate the effects of grade inflation on evaluations. " I am concerned with student evaluations because instruction has become a popularity contest for some teachers, " said Professor Smith, who recently completed the study. Results showed higher grades directly corresponded to a more positive evaluation. The last statement above means the study found that:_________.
a) Higher course grades are positively associated with teaching evaluation
b) Teaching evaluation is negatively associated with course grade
c) There was a perfect positive correlation between course grade and teaching evaluation
d) Each letter grade increase is associated with a 10% increase in positive evaluations for the professor.
Help Please???? Question is above, it has to do with repeating decimal converting to a fraction
Evaluate the expression shown for x = 12.
Negative StartFraction 5 over 6 EndFraction x + 7
Answer:
-3 !!!!!
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
just did the test on edg
Please choose the correct answer.
Answer:
976
Step-by-step explanation:
would you stop it already
Answer: 976m^2
Step-by-step explanation:
An easy way to find the surface area of a prism is to find the area of each side and add them all together.
Area of rectangle:
14mx10m=140m^2
Area of rectangle:
25mx10=250m^2
Since there are 2 of the long rectangles, you multiply by 2:
250m^2x2=500m^2
Area of triangle:
(24mx14m)/2=168m^2
Since there are 2 triangles, you multiply by 2:
168m^2x2=336m^2
Surface Area:
140+500+336=976m^2
Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the random number Y can take any value between 0 and 2. Then the density curve of the outcomes has constant height between 0 and 2, and height 0 elsewhere.
(a) Is the random variable Y discrete or continuous? Why?
This is a discrete random variable because the set of possible values is an interval.
This is a continuous random variable because the set of possible values is an interval.
This is a discrete random variable because it has a finite sample space.
This is a continuous random variable because it has a finite sample space.
(b) What is the height of the density curve between 0 and 2? Draw a graph of the density curve.
(c) Use your graph from (b) and the fact that probability is area under the curve to find P(Y ≤ 1).
Answer:
a) This is a continuous random variable because the set of possible values is an interval.
b) Height = 0.5
Graph attached.
c) P(Y≤1) = 0.5
Step-by-step explanation:
a) If the density curve of the outcomes has a constant height, we have a uniform distribution for values between 0 and 2 (outside this range, the density function has a value of 0).
This function is continous and has a value for each real number. The set of possible values has a is an interval between 0 and 2, all with equal probability (the ones that are otuside this interval have 0 probability, so they are not possible values).
b) The height is calculated so that the total area under the density curve has to be equal to 1.
Then, we have to calculate the integral between 0 and 2 of the density function:
[tex]\int\limits^2_0 {U(x)} \, dx =\int\limits^2_0 {H} \, dx =H\int\limits^2_0 dx=H(x_2-x_1)=H(2-0)=1\\\\2H=1\\\\H=0.5[/tex]
The height is H=0.5
(Graph attached)
c) The probability can be calculated by integrating the density function (which is equal to the area under the curve) between 0 and 1, or using the graph.
With the graph, we see that the area is equal to the height (0.5) by the width of the interval (1), so the total area is 0.5 x 1 = 0.5.
The probability P(Y≤1) is equal to 0.5.
Using the uniform distribution, it is found that:
a)
This is a continuous random variable because the set of possible values is an interval.
b)
The height is [tex]\frac{1}{2}[/tex], and the sketch is given at the end of this answer.
c)
P(Y ≤ 1) = 0.5
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
In this problem, uniformly distributed between 0 and 2, thus [tex]a = 0, b = 2[/tex].
Item a:
Values in an interval, thus continuous. Discrete are for sample spaces, which is not the case here.
Item b:
The height is:
[tex]h = \frac{1}{b - a} = \frac{1}{2}[/tex]
The graph is sketched at the end of this answer.
Item c:
[tex]P(Y \leq 1) = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]
Thus, P(Y ≤ 1) = 0.5.
A similar problem is given at https://brainly.com/question/13547683
Use the change of variables s=y, t=y−x^2 to evaluate ∫∫Rxdxdy over the region R in the first quadrant bounded by y=0, y=16, y=x^2, and y=x^2−5. ∫∫R x dxdy=
Answer:
Step-by-step explanation:
[tex]s=y, t = y- x^2[/tex]
[tex]x^2=y-t[/tex]
[tex]x=\sqrt{s-t}[/tex]
[tex]y=0, y=16, y=x^2, and\\ y=x^2-5.[/tex]
[tex]y-x^2=0,y-x^2=-5[/tex]
therefore,
[tex]s=[(s,t)10\leq s\leq 16,-3\leq t \leq 0][/tex]
Taking partial derivatives
[tex]\frac{dx}{ds} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dx}{dt} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dy}{ds} =1\\\\\frac{dy}{dt} =0[/tex]
[tex]\frac{\delta (x,y)}{\delta (s,t)} =\left|\begin{array}{ccc}\frac{1}{2\sqrt{s-t} } &-\frac{1}{2\sqrt{s-t} } \\1&0\end{array}\right|[/tex]
[tex]=\frac{1}{2\sqrt{s-t} }[/tex]
[tex]\int\limits \int\limits_R {x} \, dx \, dy=\int\limits\int\limits_s {x} \sqrt{s-t} |\frac{\delta(x,y)}{\delta (s,t)} |dsdt[/tex]
[tex]=\int\limits^{16}_0\int\limits^0_{-5} \sqrt{s-t} \frac{1}{2\sqrt{s-t} } dt ds[/tex]
[tex]=\frac{1}{2} \int\limits^{16}_0 ds\int\limits^0_{-5} \, dt \\\\=\frac{1}{2} [s]^{16}_0[t]^0_{-5}\\\\=\frac{1}{2} (16)(5)\\\\=40[/tex]
There are 140 coins in a piggy bank of which 20% are dimes. What is the least possible amount of money that could be in the piggy bank?
PLS PLS HELP FAST. Given an isosceles triangle with a leg length of 12. Determine the length of the hypotenuse.
Answer:
12*sqrt(3)
Step-by-step explanation:
since it is isosceles its angles are 45, 45, 90, therefore the hypotenuse is 12*sqrt(3).
Look on my last post giving 70 points for one math problem if u answer I will rate u brainiest on this question and on that one
Answer:
did it
Step-by-step explanation:
What fraction is equal to 35%
Answer:
7/20
Step-by-step explanation:
35/100 is simplified to 7/20. Here is another example with a different percentage. Change 25% to a fraction. 25/100 is simplified to 1/4
A figure is translated <3, -3>. Which translation will move the image back to the
preimage original position?
The original translation < 3, -3 > moves the figure 3 units to the right and 3 units down.
We undo this by moving 3 units left and 3 units up, which is what < -3, 3 > describes.
The translation <-3, 3> will move the image back to the preimage original position.
What is translation of image ?
The displacement of a image from one place to another is called translation of image.
What is the original position of the image ?
If a figure is on the origin, i.e. (0, 0), then if turns 3 cells right.
We can see that, It translated as (3,0)
Again if it go down 3 cells, then the translated one is (3, -3)
So, moving it back, we should translate it 3 cells left & 3 cells up.
So after translation, it should be (-3, 3).
Learn more about Translation here :
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What is the diameter of a sphere with a volume of 6329\text{ ft}^3,6329 ft
3
, to the nearest tenth of a foot?
Answer:
Diameter = 22.9 ft
Step-by-step explanation:
We are told that volume of the sphere is 6329 ft³
Now formula for volume of sphere is given as;
V = (4/3)πr³
Thus,
(4/3)πr³ = 6329
Multiply both sides by 3/4 to get;
πr³ = (6329) * 3/4
πr³ = 4746.75
Divide both sides by π to obtain;
r³ = 4746.75/π
r = ∛(4746.75/π)
r = 11.4749 ft
Now, diameter = 2 x radius
Diameter = 2 × 11.4749
Diameter = 22.9498 ft
Approximating to a tenth of a feet gives;
Diameter = 22.9 ft
What’s the correct answer for this?
guys, I don't understand this question is this correct??
Answer:
I think you are correct. bc you have 4 different caps, and four different sections of a spinner that are equal same with the cap. So I believe so.
Step-by-step explanation:
I hope this helps! Im in algebra 2 so its been awhile since i have done this. Good Luck!!:)
Answer:
A
Step-by-step explanation:
I agree with your answer. The question is basically just saying the beverage company randomly chooses one of those letters to put under the bottle caps. For example, one bottle cap might have a T on it, and another might have an A on it. If you try to get all 4 letters, then you will have to keep buying those drinks until you manage to collect all 4 letters. Therefore, there are only 4 possible options for which letter you can get.
If you spin a spinner that has 4 equal sections, then this is similar. You have 4 possible options you can get.
Hope this helps! :)