Answer:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
Step-by-step explanation:
x% confidence interval is between a ± b.
a is the sample mean.
b is the margin of error.
Interpretation: We are x% sure that the population mean is between a-b and a+b.
In this question:
96% confidence interval for the mean time that students will require to complete a particular examination. Between 62.4 - 12.6 = 49.8 minutes and 62.4 + 12.6 = 75 minutes.
The correct interpretation is that we are 96% sure that the population mean is in this interval.
So the correct answer is:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
Answer:
The confidence interval for the true mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
The confidence interval for this case i given by:
[tex] 62.4 -12.6 \leq \mu \leq 62.4+12.6[/tex]
[tex] 49.8 \leq \mu \leq 75.0[/tex]
For this case we can conclude that the true mean for the time that students will require to complete a particular examination is between 49.8 and 75.0 minutes. And the best option for this case by:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
Step-by-step explanation:
The confidence interval for the true mean is given by the following formula:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
The confidence interval for this case i given by:
[tex] 62.4 -12.6 \leq \mu \leq 62.4+12.6[/tex]
[tex] 49.8 \leq \mu \leq 75.0[/tex]
For this case we can conclude that the true mean for the time that students will require to complete a particular examination is between 49.8 and 75.0 minutes. And the best option for this case by:
A) We are 96% confident that the population mean time required for all students who take this test is somewhere between 49.8 and 75.0 minutes
Evaluate the compositions indicated for the given functions. f (x) = –2x3, g(x) = x2 + 3x – 8, h(x) = 5x f (g(h(–1))) = ?
Answer:
it’s a
Step-by-step explanation:
Answer:
First answer is -16, second answer is 10
Step-by-step explanation:
Just did it on Edge
A recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9. The distribution of number of movies watched per month follows the normal distribution. A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students?
Answer:
We conclude that college students watch fewer movies a month than high school students at the 0.05 significance level.
Step-by-step explanation:
We are given that a recent national survey found that high school students watched an average (mean) of 7.6 movies per month with a population standard deviation of 0.9.
A random sample of 39 college students revealed that the mean number of movies watched last month was 7.1.
Let [tex]\mu[/tex] = mean number of movies watched by college students last month.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 7.6 movies {means that college students watch higher or equal movies a month than high school students}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 7.6 movies {means that college students watch fewer movies a month than high school students}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean number of movies watched last month = 7.1
σ = population standard deviation = 0.9
n = sample of college students = 39
So, the test statistics = [tex]\frac{7.1-7.6}{\frac{0.9}{\sqrt{39} } }[/tex]
= -3.47
The value of z test statistics is -3.47.
Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.
Since our test statistic is less than the critical value of z as -3.47 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that college students watch fewer movies a month than high school students.
Which is the equation of a hyperbola centered at the origin with x-intercept +\- 3 and asymptote y=2x
Answer:
[tex]{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}[/tex]
Step-by-step explanation:
The hyperbola has x-intercepts, so it has a horizontal transverse axis.
The standard form of the equation of a hyperbola with a horizontal transverse axis is [tex]\dfrac{(x - h)^{2}}{a^{2}} - \dfrac{(y - k)^{2}}{b^{2}} = 1[/tex]
The center is at (h,k).
The distance between the vertices is 2a.
The equations of the asymptotes are[tex]y = k \pm \dfrac{b}{a}(x - h)[/tex]
1. Calculate h and k. The hyperbola is symmetric about the origin, so
h = 0 and k = 0
2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6
a = 6/2 = 3
3. For 'b': The equation for the asymptote with the positive slope is
[tex]y = k + \dfrac{b}{a}(x - h) = \dfrac{b}{a}x[/tex]
Thus, asymptote has the slope of
[tex]\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}[/tex]
4. The equation of the hyperbola is
[tex]\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}[/tex]
The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.
Answer: c
Step-by-step explanation: edge 23
According to the picture, whats the answer?
Is a quadrilateral a trapezoid? (True or False)
PLEASE HELP QUICKLY THANK YOU
Answer:
False
Step-by-step explanation:
All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.
Answer:
A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.
Step-by-step explanation:
plzzz help me im Marshmello
So the right answer is 7.
Look at the attached picture
Hope it will help you..
good luck on your assignment
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]4(x - 3) = 16 \\ 4x - 12 = 16 \\ 4x = 16 + 12 \\ 4x = 28 \\ \frac{4x}{4} = \frac{28}{4} \\ x = 7[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Twenty-four cards are numbered from 1 to 24 and placed in a box. One card is selected at random
and not replaced. Another card is randomly selected. What is the probability of selecting two even
numbers?
Answer:
11/46
Step-by-step explanation:
Given that there are 24 cards numbered 1 - 24
Even Cards = 2,4,6,8,10,12,14,16,18,20,22,24
Odd Cards = 1,3,5,7,9,11,13,15,17,19,21,23
We can see above that in the beginning, we have:
12 odd and 12 even cards (total of 24 cards)
If we draw the first card and it is even,
P(even number on first draw) = 12/24 = 1/2
If the card is not replaced, now we have:
12 odd cards and 11 even cards (total of 23 cards)
If we draw the 2nd card and it is even,
P(even number on second draw) = 11/23
Hence probabliliy of drawing the first even card, not replacing and then drawing another even card
= (1/2) x (11/23)
= 11/46
Answer:
11/46
Step-by-step explanation:
between 1 and 24 there are 12 even numbers.
the probability of selecting an even number the first time is 12/24 = 1/2
the probability of the second one being an even number without replacement is 11/23
the probability of both being even numbers without replacement is:
1/2 * 11/23
= 11/46
A theater group is having a carwash fundraiser. The group can only wash 45 cars with the amount of soap they purchased. Each car is charged $7. The function f(c) = 7c represents the amount of profit they make per car. Which inequality represents its domain?
Answer:
The domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].Step-by-step explanation:
The given function is
[tex]f(c)=7c[/tex]
Where [tex]c[/tex] represents cars. This function models the profits they make.
Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.
The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.
Therefore, the domain for this function is [tex]c > 0[/tex] where [tex]c \in Z[/tex].
(Notice that we specify that the independent valur can only use whole positive numbers only).
Evelyn bought stock in a company two years ago that was worth xx dollars. During the first year that she owned the stock, it decreased by 36%. During the second year the value of the stock decreased by 20%. Write an expression in terms of xx that represents the value of the stock after the two years have passed.
Answer:
0.512xx
Step-by-step explanation:
100% - 36% = 64%
64% = 0.64
thus after 1st yr, she is left with the value of 0.64xx
100% - 20% = 80%
80% = 0.8
thus after 2nd yr, she is left with the value of 0.8 x (0.64xx) = 0.512xx
Sara uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls
Answer: 2.3
Step-by-step explanation:
9.2 is divided by 4 is 2.3 so the last quarter is 2.3
which expression cannot be simplified? A.8x-8 B.8x-x C.8x+5x D.(8+5)x E.-(x+x) why
Answer:
A.8X-8
Step-by-step explanation:
because you cannot subtract a variable from a non variable hope this helps
Answer
8 * -8
Step-by-step explanation:
Hope this helps have a wonderful day
Would you rather have a cup of ice cream that hold last a volume of 21.21 inches or a cone that has a radius of 1.5 inches and height of 3 inches?
Answer:
I will prefer the cone having volume 21.21 cubic inches.
Step-by-step explanation:
A cup of ice cream holds ice cream = 21.21 cubic inches
Since volume of a cone = Capacity of the cone to hold the ice cream
Volume of an another cone having radius (r) = 1.5 inches and height (h) = 3 inches will be,
V = [tex]\frac{1}{3}(\pi)(r^{2} )(h)[/tex]
= [tex]\frac{1}{3}(\pi )(1.5)^{2}(3)[/tex]
= 7.069
≈ 7.07 cubic inches
Since the volume of the second cone is less than the first cone, I will prefer the first cone with volume = 21.21 inches³
The difference between a number m and the product of m and n.
Pls help fast!
Answer:
m-mn
Step-by-step explanation:
Answer:
m-mn
Step-by-step explanation:
The product would be multiplacation.
m*n=mn
And you are subtracting that from m.
So, the answer would be m-mn.
Hope this helped.
Suppose b is any integer. If b mod 12 = 5, then 7b mod 12
The result follows directly from properties of modular arithmetic:
[tex]b\equiv5\pmod{12}\implies 7b\equiv35\equiv-1\equiv\boxed{11}\pmod{12}[/tex]
That is,
[tex]b\equiv5\pmod{12}[/tex]
means we can write [tex]b=12n+5[/tex] for some integer [tex]n[/tex]. Then
[tex]7b=7(12n+5)=12(7n)+35[/tex]
and taken mod 12, the first term goes away, so
[tex]7b\equiv35\pmod{12}[/tex]
etc
What are rational number
Answer:
By splitting two entries, a logical number can be generated.
Step-by-step explanation:
By splitting two entries, a logical number can be generated.
Answer above.
Example: 0, 1, 1/2, 22/7, 12345/67
Hope this helps.
Answer:
Rational numbers are numbers that can turn into fractions.
[tex]\text {A number is Rational if it can be written as }\frac{p}{q}.\\\text {'p' and 'q' must be integers.}\\\\q\neq 0[/tex]
All whole numbers and integers are rational.
For decimals, they have to be repeating or non-terminating.
Numbers that cannot be turned into fractions under the 'p/q' guidelines are irrational numbers.
PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!!
Answer:
6.)66 degrees
7.)20 degrees
Step-by-step explanation:
Angle 114 and angle 3 are supplementary, meaning that they can be added to get 180 degrees
If you subtract 114 from 180 you get 66 degrees
Angle D and Angle C are both complimentary, meaning that if you add them together you get 90 degrees
If you subtract 70 from 90 you get 20
rewrite the equation as y-2=-2/3(x-(-1)) to identify a point on the graph
Answer:
point (-1, 2)
Step-by-step explanation:
Your equation is shown here in point-slope form, so a point on the graph can be read from the given equation. (No further rewrite is necesary.)
The point-slope form is ...
y -k = m(x -h)
Comparing this to your given equation ...
y -2 = (-2/3)(x -(-1))
we see that ...
k = 2, m = -2/3, h = -1
The point on the graph is (h, k) = (-1, 2).
Answer:
point (-1,2)
Step-by-step explanation:
What is the slope of the equation y=5/4x-7/4?
Answer:
The slope is 5/4
Step-by-step explanation:
In the equation y=mx+b, m is always the slope.
Answer: c
Step-by-step explanation:
5/4
Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment, and they have an excellent credit score. How much is the interest at the end of the second month if their first month’s payment is $925.67?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
$381.29
$352.95
$379.36
$300.15
Answer:
The second option ,$ 352.95 is correct
Step-by-step explanation:
The total cost of the home is the list price of $89,000 plus the sales tax of 4.2%
total cost=$89,000+($89,000*4.2%)=$92,738
loan amount=total cost-down payment=92738
-3000=$89738
APR is 4.75% since they have an excellent credit score
interest for first month=89738
*4.75%/12=$ 355.21
Principal payment in first month=total payment-interest=925.67- 355.21 =$570.46
principal left after first payment=$89,738
-$570.46=$89,167.54
second month interest payment= 89,167.54*4.75%/12=$ 352.95
The correct option is $ 352.95 which is the second option
Estimate the difference to the nearest 10th 0.612-0.185
Answer:
0.4
Step-by-step explanation:
Round 0.600 - 0.200 = 0.4
If U = 6 feet, V = 8 feet, W = 3 feet, X = 6 feet, Y = 12 feet, and Z = 4 feet, what is the area of the object?
A. 72 square feet
B. 60 square feet
C. 78 square feet
D. 132 square feet
Answer:
idk
Step-by-step explanation:
3 1/2 cups as a multiplication expression using the unit 1 cup
Answer:
4 1/2
Step-by-step explanation:
The equation y = 15x represents the total number of pages read in x days.
Use the equation to complete the table.
a =
b =
c =
d =
Answer:A= 75
B-150
C-225
D-300
Step-by-step explanation:. Y=15x, so you would take the x axis numbers and times it by 15, and then your answer will be there.
Answer:
order from top to bottom 75 150 225 300
Step-by-step explanation:
Jim pays $75 per month for a cell phone plan plus $0.30 per minute beyond the first 1000 minutes. His bill was $105.60 last month. How many minutes did he use?
Answer:
1102 minutes
Step-by-step explanation:
Easy way to do it: 1000 + 102 = 1102
Step by step
1: 105.60=75+0.30(x-1000)
2: 105.60 =75+0.30x−300
3: 105.60=0.30x−225
4: 1056=3x−2250
5: 1056+2250=3x
6: 3306=3x
7: x=1102
Hope this helps.
PLEASE HELP
Find the length of BC
Answer:
BC or n=72
Step-by-step explanation:
ABC≈DEF
[tex]\frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}=k[/tex]
[tex]\frac{54}{9} =\frac{n}{12}[/tex]
[tex]9n=54*12[/tex]
[tex]9n=648[/tex] (then divide both sides by 9.)
[tex]n=72[/tex]
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
x < -36
Step-by-step explanation:
Subtract 14 from both sides:
14 + x < -22
-14 - 14
___________
x < -36
Please Help ASAP Correct answer will get brainliest!!!!!
Please I am so desperate.
Answer:
27 m² (blue fabric)
9 m² (brown fabric)
Step-by-step explanation:
Area of a triangle = 1/2*base *height
Area of 4 triangles = 4* 1/2*3*4.5 = 27 m² (blue fabric)
Area of a square = side² = 3² = 9 m² (brown fabric)
Find the surface area of the prism. 3m, 12m, 13m, 5m
to find the surface area you have to find the area of EACH faces then just add them together and you'll get the answer :) im sorry if i cant give tje. answer because i dont know how the diagram looks like :(
hope this helps
Please help for the 3rd time and not the last time either (:
Someone please help me with my math
Answer:
1. re-arrange numbers in order.
37, 38, 43, 45, 57, 57, 58
THE MEDIAN IS 45
2. To find Mean, add up all the numbers then divide by how many numbers there are.
when added together, it is 335
335 / 7
47.857
THE MEAN IS 47.857