Answer:
29.5
Step-by-step explanation:
median number is the middle number
Brandon is building a desk that is 42 inches long. A piece of wood that he bought is 4 feet long. How much does Brandon have to cut off that piece of wood to make it the same length as his desk?
A. 2 inches B. 6 inches C. 12 inches D. 2 feet
Answer:
6 inches
Step-by-step explanation:
there are 12 inches in a foot
4 ft * 12 = 48 inches
48 - 42 = 6
Cut off 6 inches
The product of -12 and a number is the same as the sum of the number and 26
-2
Step-by-step explanation:
12x＝x+26
-13x＝26
x＝-2
A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 31 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,060, while the mean attendance on Wednesday evening is calculated as 5,390. The known population standard deviation for attendance on Tuesday evening is 540 and the known population standard deviation for attendance on Wednesday evening is 480. Which of the following is the appropriate conclusion at the 5% level of significance?
a. Conclude that the mean attendance differs since the p-value = 0.0067 < 0.05.
b. Conclude that the mean attendance differs since the p-value = 0.0134 < 0.05.
c. Do not conclude that the mean attendance differs since the p-value = 0.0067 < 0.05.
d. Do not conclude that the mean attendance differs since the p-value = 0.0134 < 0.05.
Answer:
b. Conclude that the mean attendance differs since the p-value = 0.0134 < 0.05.
Step-by-step explanation:
Before testing, we need to understand the central limit theorem and subtraction of normal variables.
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.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Samples of 31 weeks. The mean attendance on Tuesday evening is calculated as 5,060, with a population standard deviation of 540.
This means that:
[tex]\mu_{T} = 5060, s_T = \frac{540}{\sqrt{31}} = 97[/tex]
The mean attendance on Wednesday evening is calculated as 5,390, with standard deviation of 480.
This means that:
[tex]\mu_{W} = 5390, s_W = \frac{480}{\sqrt{31}} = 86.21[/tex]
A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening.
At the null hypothesis we test if there is no difference, that is:
[tex]H_0: \mu_T - \mu_W = 0[/tex]
At the alternate hypothesis, we test if there is difference, that is:
[tex]H_a: \mu_T - \mu_W \neq 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the two samples collected:
[tex]X = \mu_T - \mu_W = 5060 - 5390 = -330[/tex]
[tex]s = \sqrt{s_T^2+s_W^2} = \sqrt{97^2+86.21^2} = 129.77[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{-330 - 0}{129.77}[/tex]
[tex]z = -2.54[/tex]
Pvalue of test and decision:
The pvalue of the test is finding the probability of the sample mean difference differing by 0 by at least 330, that is, P(|z| > 2.54), which is 2 multiplied by the pvalue of z = -2.54.
Looking at the z-table, z = -2.54 has a pvalue of 0.0067.
2*0.0067 = 0.0134
The pvalue of the test is 0.0134 < 0.05, which means that there is evidence that the mean attendance differs. The correct answer is given by option b.
A cone has a radius of 7cm and a height of 12 cm. Find the volume
9514 1404 393
Answer:
196π cm^3 ≈ 615.8 cm^3
Step-by-step explanation:
Put the numbers in the volume formula and do the arithmetic.
V = 1/3πr^2·h
V = 1/3π(7 cm)^2(12 cm) = 196π cm^3 ≈ 615.8 cm^3
help me my future depends on it
Answer:
Step-by-step explanation:
Hannah simplified the radical below and wants someone to check the work (view image)
Answer:
4|x|y²√(3yz)
She forgot the absolute value sign on x, and she left out the exponent on y.
Step-by-step explanation:
Step 1 is correct.
x may be positive, zero, or negative.
√x is always non-negative. To assure that √x² is non-negative, √x² = |x|.
√16 = 4
√3 = √3
√x² = |x|
√y² × √y² = √y^4 = y²
Since y² is always non-negative, there is no need for absolute value sign.
√y^4 = y²
Answer should be
4|x|y²√(3yz)
F
∝
a
If
F
=
48
when
a
=
4
find,
a
when
F
=
60
Answer:
a=5
Step-by-step explanation:
Which ordered pair is a solution to - 8x + 6y <3x - 30?
A (-6, -16)
B (6, -6)
© (69)
D (2, 3)
Answer:
B ( 6,-6) ..
I think I'm correct
Plz help I will give brainiest
Answer:The value of the z-score tells you how many standard deviations you are away from the mean. ... A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean. A negative z-score reveals the raw score is below the mean average.
Step-by-step explanation:
A marketing executive surveyed 1,000 shoppers at a grocery store to determine the highest price shoppers are willing to pay for a gallon of ice cream. His data is show in the table.
Based on the data, of 10,000 shoppers, which BEST estimates the number of shoppers that would be willing to pay $8.00 for a gallon of ice cream.
If you cannot see, zoom in!
Don’t answer if you don’t know the answer. Whoever answers correctly will get Brainliest! :)
Answer:
C
Step-by-step explanation:
You multiply times 10
lil help here please
y=3^n is an example of an exponential function.
True
False
Answer:
True
Step-by-step explanation:
A function of form y = a^n is an exponential function as long as a>0.
80 items were sold, bringing in $6,900 in receipts. Some items were sold at a discount for $75 each and some others were sold at full price for $90 each. How many were sold at discount and how many at full price?
Answer:
50 items were sold for $75
35 items were sold for $90
Step-by-step explanation:
75 x 50 = 3750
90 x 35 = 3150
3750 +3150 = 6,900
please answer quickly :)
Answer:
The solution is (-1, 0)-----------------------------------
Given lines:
y = - 2x - 2 and y = x + 1Plot both of the lines using the graphing calculator by adding the equations, then find the graphical solution as the intersection of the lines.
See attached.
The solution is (-1, 0).
I’ll mark brainlist
No links
Answer:
3/8 = 9/24
7/6 = 28/24
Step-by-step explanation:
أحتاج إلى مساعدة كيف تقدم كوزي Tell me what this say for free branleist no transition script
Answer:
you need help to progress cozy im guessing?
Step-by-step explanation:
Answer: Hope This Helps! :D
Step-by-step explanation:
I need help how to progress cozy
a) Find the total mass in kilograms of 3500 books, each with mass 800.
b) If the total mass of 8000 apples is 1.04 tonnes, what is the average mass of one apple?
A) Total mass of 3500 books is 2,800 kilograms.
B) The average mass of one apple is 130 grams.
A) To find the total mass of 3500 books, each with a mass of 800 grams, we can multiply the number of books by the mass of each book:
Total mass = (3500 books) * (800 grams/book)
= 2,800,000 grams
= 2,800 kilograms
Therefore, the Total mass of 3500 books is 2,800 kilograms.
B) To find the average mass of one apple, we can divide the total mass of the apples by the number of apples:
Average mass = (1.04 tonnes) / (8000 apples)
= 130 grams/apple
Therefore, the average mass of one apple is 130 grams.
Learn more about average:
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Special right triangles.
Find u.
Please help due in 30 min!
Answer:
2 km
Step-by-step explanation:
Reference angle = 45°
Opposite = u
Hypotenuse = 2√2 km
To find u, apply SOH:
Sin 45° = Opp/Hyp
Sin 45° = u/2√2
√2/2 = u/2√2 (sin 45 = √2/2)
Cross multiply
2*u = √2*2√2
2u = 4
Divide both sides by 2
u = 4/2
u = 2 km
Consider this right triangle with given measures.
What is the length of the unknown leg of the given right
triangle?
O 3ft
O vo ft
O 39 ft
O 89 ft
Answer:
[tex] \sqrt{39} [/tex]
Step-by-step explanation:
5
[tex]5 {}^{2} + x {}^{2} = 8 {}^{2} \\ 25 + x {}^{2} = 64 \\ x {}^{2} = 64 - 25 \\ x {}^{2} = 39 \\ x = \sqrt{39} [/tex]
The length of the unknown length is √39 ft if the other lengths are 5 ft and 8 ft in the right angle triangle.
What is a right-angle triangle?It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
Let's suppose the unknown length is x ft
From the Pythagoras theorem:
[tex]\rm hypotenuse^2= perpendicular^2+ base^2[/tex]
[tex]8^2 = 5^2 +x^2[/tex]
64 = 25 + x²
x = √39 ft
Thus, the length of the unknown length is √39 ft if the other lengths are 5 ft and 8 ft in the right angle triangle.
Learn more about the right angle triangle here:
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Any help would be awesome
Answer: 72 square units
Step-by-step explanation: It is 72 square units because if you count the sides p and q you get 9 and the same with sides q and r you get 8 and if you multiply them together you get 72.
An Example of a caravan is
A. eight covered wagons travelings together on the trail
B. one covered wagon traveling by itself
C. a covered wagon passing a horse
D. a covered wagon traveling at top speed
An Example of a caravan is eight covered wagons traveling together on the trail. Meaning, option A is correct.
What is caravan?A caravan, travel trailer, camper, tourer, or camper trailer is a trailer towed behind a road vehicle to provide a more comfortable and secure sleeping space than a tent.
It allows people to have their own home on a trip or vacation without relying on a motel or hotel, and it allows them to stay in places where none are available. However, in some countries, campers are restricted to designated sites where fees must be paid.
Caravans range from basic models that are little more than a tent on wheels to those that have several rooms with all of the furniture, furnishings, and equipment of a home. The solid-wall trailers can be made of metal or fibreglass.
Learn more about caravan
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Are the two expressions equivalent when x = 5? 24x + 18 and 6 (4x + 2)
Answer:
Nope-
Step-by-step explanation:
24x + 18 = 138
6 (4x + 2) = 132
- The length of a rectangle is 2 less than 5 times its width. The area of the rectangle is 39 km².
Find the length and width of the rectangle.
Answer:
Length is 13 and width is 3
Step-by-step explanation:
First find an equation that represents this situation.
39 = w * (5w-2)
This works because 39 (the total area) is w (the width) times 5w - 2 (the length). So solve for w.
39 = w * (5w-2)
First, distribute the w over the terms in parentheses
39 = 5w^2 - 2w
Then, subtract (5w^2 - 2w) from both sides.
39 - 5w^2 - 2w = 0
Factor the left side of the equation:
(−5w−13)(w−3)=0
Then set each factor equal to zero.
−5w−13 = 0
Add 13 to both sides, then divide both sides by -5 to isolate w. This leaves you with w = -13/5
Then the other factor:
w−3 = 0
Add 3 to both sides. You're left with w = 3.
So w is either -13/5, or 3. And since the width can't be negative, it is 3.
Now to find the height, plug 3 into the equation we had from earlier:
39 = w * (5w-2)
Substitute w into the equation:
39 = (3) * (5(3)-2)
39 = 3 * (15 - 2)
39 = 3 * (13)
Because 3 * 13 is equal, 13 is the length.
if lx-2l=9 which of the following equal lx+3l?
A)4
B)7
C)8
D)10
E)11
Answer:
D.10
Step-by-step explanation:
its check promise
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Dan drank 7/8 of a bottle of water During basketball practice. He then drank Another 4/8 of a bottle after practice. How much water did he drink altogether that’s
Answer:
In total Dan dranked 11/8 of his bottle or as a mixed number 1 and 3/8 of his bottle.
Step-by-step explanation:
Use the drop-down boxes to show a function in the form y = mx + b for the line that contains the points (–6.4, –2.6) and (5.2, 9).
The equation in the slope-intercept form is y = x + 3.8
What is a slope?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that contains the points (–6.4, –2.6) and (5.2, 9).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
So, the equation,
y + 2.6 = {(9 + 2.6)/(5.2 + 6.4)} (x + 6.4)
y + 2.6 = x + 6.4
y = x + 6.4 - 2.6
y = x + 3.8
Therefore, the equation y = x + 3.8 is in the slope-intercept form.
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Marshall has $4000 in his bank account. It yields 8% simple interest annually. How much money in interest will the account have gained in 5 years?
PLSSS HELP QUICKLY
Answer:
$1600
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 4000 x .08 x 5
I = 1600
Help me out with this please!
No links to suspicious sites other than Brainly!
Answer: E and F.
E:
4 * 4 * 4 = 64, and 64 = 64.
F:
-1 * -1 * -1 = 1, and 1 = 1
which of the following describes the data set 6,8,13,15,21,23,31 pls help
Answer:
B
Step-by-step explanation:
you can use the process of elimination. For all of the answers the minimum and the maximum are incorrect except for option B.
In a storeroom,there are 30 blue balls,48 green balls,some red balls and some white balls. there are 3 times as many green balls as red balls and 5 times as many blue balls as white balls.
(a) How many balls are there altogether?
(b) How many balls are left in the room if 7/10 (fraction) of the balls are taken away?
pls help me answer both
Answer:
7/30
Step-by-step explanation:
We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10
Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9. Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30