Answer:
The p-value for her test is 0.0075.
Step-by-step explanation:
She will then perform a hypothesis test to determine if the sample mean daily revenue provides significant evidence to conclude that the population mean daily revenue is less than $900 when the advertising dollars are reduced.
At the null hypothesis, we test that the mean is less than 900, that is:
[tex]H_0: \mu = 900[/tex]
At the alternate hypothesis, we test that the mean is less than 900, that is:
[tex]H_a: \mu < 900[/tex]
The test statistic is:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
900 is tested at the null hypothesis:
This means that [tex]\mu = 900[/tex]
Sample of 64 days. The first co-owner observes a sample mean daily revenue of $892.50 with a sample standard deviation of $24 when the advertising dollars have been reduced.
This means that [tex]n = 64, X= 892.50, s = 24[/tex]
Value of the test:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{892.50 - 900}{\frac{24}{\sqrt{64}}}[/tex]
[tex]t = -2.5[/tex]
What is the p-value for her test?
The pvalue of the test is the probability of a sample mean below 892.5, which is a left-tailed test for t = -2.5 with 64 - 1 = 63 degrees of freedom.
Using a calculator, the p-value for her test is 0.0075.
Need the next three numbers on the line please help
Answer:
B = -1
C = -1/2
D = 0
I hope this helps
Step-by-step explanation:
Let the unit distance be 'x'.
There are 4 units in between A and E. It means,
A(unit) + 4(unit) = E(unit)
-1 (1/2) + 4x = (1/2)
-(2+1)/2 + 4x = 1/2
- 3/2 + 4x = 1/2
4x = 1/2 + 3/2
4x = 4/2
x = 1/2
B is at distance x from A= -3/2 + 1/2 = -1
C is at distance 2x fromA=-3/2+2(1/2)=-1/2
D is at distance 3x from A=-3/2+3(1/2)=0
Solve for 0. Round to the nearest tenth of a degree. Sin 0=0.85
The value of the angle theta is 58 degrees
How to determine the value of the angle thetaFrom the question, we have the following parameters that can be used in our computation:
Sin 0=0.85
Express the angle in the equation properly
So, we have the following representation
sin(Ф) = 0.85
Take the arc sin of both sides of the equation
So, we have the following representation
sin⁻¹(sin(Ф)) = sin⁻¹(0.85)
Evaluate the arc sin of one side of the equation
So, we have the following representation
Ф = sin⁻¹(0.85)
Evaluate the arc sin of the other side of the equation
So, we have the following representation
Ф = 58.2116693829
Approximate the equation
Ф = 58 degrees
Hence, the solution is 58 degrees
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Find Y
Special right triangles
Please last question of the day!! Due very soon
Given:
A right triangle with angles 30, 60, 90 degrees.
Hypotenuse = [tex]2\sqrt{2}[/tex] mm.
Base = y
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos (60^\circ)= \dfrac{y}{2\sqrt{2}}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{2\sqrt{2}}[/tex]
[tex]\dfrac{2\sqrt{2}}{2}=y[/tex]
[tex]\sqrt{2}=y[/tex]
Therefore, the value of y is [tex]\sqrt{2}[/tex] mm.
Given the circle below with secants \overline{UVW} UVW and \overline{YXW} YXW . If YW=40, YX=16YW=40,YX=16 and VW=22VW=22, find the length of \overline{UV} UV . Round to the nearest tenth if necessary.
The length of UV in the circle is given as follows:
13.2.
How to obtain the length of UV?We are given two secant segments in the circle for this problem.
For two secants, the product of the lengths of one secant segment and it's external segment equals the product of the lengths of the other secant segment and it's external segment.
Hence, from the circle given by the image presented at the end of the answer, the relation for this problem is given as follows:
(22 + 17) x 17 = (20 + UV) x 20
Hence we must simply solve the expression to obtain the length of UV, as follows:
39 x 17 = 400 + 20UV
663 = 400 + 20 UV
20 UV = 263
UV = 263/20
UV = 13.2.
Missing InformationThe circles are given by the image presented at the end of the answer.
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Tara is considering choosing either anthropology or economics as her college major, and she's wondering how
her SAT scores compare to those of her peers in either major. Tara finds some data on the SAT scores of
anthropology and economics majors at her school. The data is shown in the 2 plots below.
For
majors, the mean SAT score is greater than the median.
The
majors have a greater median SAT score.
Answer:
for (anthropology) majors, the standard deviation is an approximate measure of spread
The (economics) majors, have a greater standard deviation in SAT scores
Frank does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 6 hours. He spends at most 12
hours on weight training. He spends at most 3 hours doing cardiovascular work. Letx denote the time (in hours) that Frank spends doing cardiovascular work.
Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.
The expression can be written as x ≤ 3 + y ≤ 12 ≥ 6. which is an inequality.
What is inequality?
A mathematical operator that expresses the inequal comparison between different numbers or different variables and numbers. There are various types of inequalities such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤
How to express the inequality as per given statement?
Frank participates in exercise program at least 6 hours in each week.
He spends at most 12 hours on weight training
y denotes the time in hours that he spends on weight training.
Frank spends at most 3 hours doing cardiovascular works
x denotes the time in hours that he spends doing cardiovascular works
The expression that can represent the above statement.
can be written as
x ≤ 3 and y≤ 12
x ≤ 3 + y ≤ 12 ≥ 6
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find all six trig ratios for the ordered pairs:
a. (2,-5)
b. (-9,-12)
Answer:
im nice at ping pong
Step-by-step explanation:
x -3y = -5
-x +3y = 0
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The equations are inconsistent. They have NO SOLUTION.
__
Add the two equations and you get ...
0 = -5 . . . . . . False
No values of the variables will make this be true.
NEED HELP WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
Solution to these system of equations is where they intercept
Answer:
B. (-2, -3)
Step-by-step explanation:
Graphically, the solution to a system of equations is where the two lines of the system intersect. In this given system of equations, the lines intersect at the point (-2, -3), thus the solution to the system of equations is (-2,-3), or option (B).
I’m confused HELP pls
On solving the equation n = za the value of a is obtained as a = n/z.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
To solve for a in the equation n = za, isolate a on one side of the equation.
Do this by dividing both sides by z:
n/z = (za) / z
On the right side, the z's cancel out, leaving -
n/z = a
So the solution is -
a = n/z
Therefore, the value of a that satisfies the equation n = za is equal to n divided by z.
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3 7) Find the quotient: : 3/7 1/2
−1, 1/6, −1/36, 1/216,…
What is the recursive rule for this sequence?
Question 9 options:
There is no rule
an = – 1 ⋅ an–1
an = ( 1/6) ⋅ an–1
an = (– 1/6) ⋅ an–1
Answer:
It is D: an = (– 1/6) ⋅ an–1
Step-by-step explanation:
A rectangular piece of card is x cm long and y cm wide
Another rectangular tile is 4 cm shorter and 2 cm wider than the
What is the difference in perimeter between the two tiles?
When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
what is rectangle ?4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.
given
Allowing for a rectangular card that is x cm long and y cm broad
The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.
L+B = L+B -2 = 2(L + B)
= 2(L-4 + B+2) = 2(L + B)
= L+B = L+B -2
Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
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Solve each linear equation for x.
(A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23 x – 9 = 13 x x =
Answer:
when I see this I know and can show you how to solve the question and the answer it 2 and it's obvious so if you don't know it that's pretty much sad and pathetic answer 2
A 200-foot cable weighing 800 pounds is hanging from a winch 200 feet above ground level.
(a) How much per foot does this cable weigh? if a piece of this cable is A.x long, what is the weigh of this piece?
(b) Find the work (in ft-lb) done in winding up the cable when there is a 400- pound load attached to the end of the cable.
Answer:
4 pd / ft
140000 ft/pd
Step-by-step explanation:
Total Weight of cable = 800 pounds
Length of cable = 200 feets
Weight per foot = Total weight / length = 800 / 200 = 4 pounds per foot
Weight of piece will be :
Weight of cable - weight per foot * x
800 - 4x
Workdone with 300 pound load attached :
∫f(x)
f(x) = (800+300 - 4x) = 1100 - 4x
∫1100 - 4xdx at 200 to 0
Integrating the above
1100x - 4/2x² at x = 200 to 0
1100x - 2x²
1100(200) - 2(200²) - 1100(0) + 2(0^²))
(220000-80000) - 0 + 0
140000 ft/pd
a rectangular pyramid has a volume of 560 cubic meters. the base has a length of 16 meters and a width of 10 meters. what is the height of the pyramid
Layla gives
120 scarves to Shop A to sell
152 scarves to Shop B to sell.
Shop A sold 15% of its 120 scarves.
Shop B sold an eighth of its 152 scarves.
●
(b) Which shop sells the most scarves?
You must show your working.
Answer:
Shop B
Step-by-step explanation:
First, find the number of scarves that Shop A sold: 15% of 120 scarves is 15/100 * 120 scarves = 18 scarves.
Then, find the number of scarves that Shop B sold: an eighth of 152 scarves is 152/8 = 152/8 = 19 scarves.
Since 18 scarves is less than 19 scarves, Shop B sold more scarves.
(-5i)(7 + i)
Please help with with the correct response and explanation if you can I would be more than thankful for some help!
Answer:
To solve this problem, you need to use the distributive property, which states that for any two numbers a and b, and for any numbers x and y, (a + b) * x = ax + bx and x * (a + b) = xa + xb.
Applying the distributive property, we have:
(-5i)(7 + i) = (-5i) * 7 + (-5i) * i
= -35i + (-5i) * i
Now, you need to use the fact that i * i = -1:
(-5i)(7 + i) = -35i + (-5i) * i
= -35i + (-5) * (-1)
= -35i - 5
= -40i - 5
So the final result is -40i - 5.
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
A) 26.563 miles in total
B) 1.977 more miles
Step-by-step explanation:
for the first question, add all the values together. for the second question, take the amount jade ran and subtract the amount noah ran from it to get how much more jade ran.
Find two consecutive odd numbers such that the difference between their reciprocals is 2/99.
note (the answer key said 9 and 11 and after testing it, it was correct, but I don't know how to get that answer)
Note (the chapter name is fractional equations, so they want us to make an equation and solve it)
The two consecutive odd numbers such that the difference between their reciprocals is of 2/99 are given as follows:
9 and 11.
How to obtain the numbers?The two numbers are odd numbers and consecutive, hence they are symbolized as follows:
n and n + 2. (as n + 1 is even).
Their reciprocals are given as follows:
1/n.1/(n + 2).The difference of their reciprocals is obtained as follows:
1/n - 1/(n + 2) = 2/99.
The least common factor of n and n + 2 is of n x (n + 2), hence:
(n + 2 - n)/[n(n + 2)] = 2/99
2/[n(n + 2)] = 2/99.
As the numerators are equal, we take the denominators to solve for n as follows:
n(n + 2) = 99.
n² + 2n - 99 = 0.
(n - 9)(n + 11) = 0.
Applying the Factor Theorem, the solutions are given as follows:
n - 9 = 0 -> n = 9.n + 11 = 0 -> n = -11.We want the positive numbers, hence the numbers are:
n = 9 and n + 2 = 9 + 2 = 11.
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A particle moves with velocity function v(t) = −t2 + 5t − 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds.
The acceleration of the particle is 1 foot per second square
How to determine the acceleration of the particle?From the question, we have the following parameters that can be used in our computation:
Velocity function v(t) = −t2 + 5t − 3
Express properly
So, we have
v(t) = -t² + 5t − 3
At time t = 3 seconds, we have
v(3) = -(3)² + 5(3) − 3
Evaluate
v(3) = 3
So, we have
Acceleration = v(3)/3
This gives
Acceleration = 3/3
Evaluate
Acceleration = 1 foot per second square
Hence, the acceleration is 1 foot per second square
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Please help me solve
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill[/tex]
[tex](-6x^3 y^5 + 11x^3 y^2) \div (-2x^2 y^3)\implies \cfrac{-6x^3 y^5 + 11x^3 y^2}{-2x^2 y^3} \\\\\\ \cfrac{-6x^3 y^5}{-2x^2 y^3}+\cfrac{11x^3 y^2}{-2x^2 y^3}\implies \cfrac{-6}{-2}\cdot \cfrac{x^3 y^5}{x^2 y^3}+\cfrac{11}{-2}\cdot \cfrac{x^3 y^2}{x^2 y^3} \\\\\\ 3\cdot x^3 x^{-2}y^5 y^{-3}+\cfrac{11}{-2}\cdot \cfrac{x^3 x^{-2}}{y^3 y^{-2}}\implies 3x^{3-2}y^{5-3}-\cfrac{11}{2}\cdot \cfrac{x^{3-2}}{y^{3-2}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x y^2 -\cfrac{11x}{2y} \end{array}}~\hfill[/tex]
A gardener works for 13 hours during a week and charges $169 how much does the gardener charge for each hour?
Answer:
You have to divide to unit price, 169/13 is equal to 13!
Step-by-step explanation:
Please help, I will mark you brainiest!
Answer:
20
Step-by-step explanation:
The line measures a total of 180°
So make an equation where all of the angles added together = 180
100 + 3x + x = 180
Then solve for x.
First, combine like terms.
100 + 4x = 180
Subtract 100 from both sides
4x = 80
Divide both sides by 4 to isolate x
x = 20
Which of the following is not one term? -x^4, 38, 4y/5, -2-x
Answer:
the correct answer is-2-x
Please answer the following question, if you send me a link to a unknown website you will be reported.
Answer:
i think it's b because 80 days is max
I need help with this question, plz someone
Answer:
1 and 2
Step-by-step explanation:
if you flip T2 it will look like T1
Answer:
The correct answer is a D
Step-by-step explanation:
if you look at figures 1 and 3 they are the same only that 3 is bigger
Find the value of x for which line L is parallel to M
Answer:
50
Step-by-step explanation:
Angle 95 and ( 2x - 5 ) are alternate interior angles.
Alternate interior angles are equal.
2x - 5 = 95
2x = 95 + 5
2x = 100
x = 100 / 2
x = 50
A data set that is normally distributed has a mean of 128 and standard deviation of 6.2. What is the Z-score,
rounded to the nearest hundredth, for a data value of 143
Answer:
2.42Step-by-step explanation:
Given:
μ = 128σ = 6.2x = 143Z-score is:
z = (x - μ)/σ = (143 - 128)/6.2 ≈ 2.42 (rounded to the nearest hundredth)brooklyn bought 8 bags of the same dog food. She has a $5 coupon. She spent $91. How much was each bad of dog food?
Answer:
$12
Step-by-step explanation:
Hi there!
What we know:
Brooklyn bought 8 bags of dog foodBrooklyn also used a $5 couponThe total was $91Therefore, 8 × (cost of 1 bag) - 5 = 91
Form an equation with x as the cost of 1 bag of dog food:
8 × (cost of 1 bag) - 5 = 91
[tex]8x-5=91[/tex]
Add 5 to both sides
[tex]8x-5+5=91+5\\8x=96\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8} = \frac{96}{8} \\x=12[/tex]
Therefore, 1 bag of dog food costs $12.
I hope this helps!