Answer:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
θ=arccot(x/o)
The Rocky Mountain News (January 24, 1994) indicated that the 20-year mean snowfall in the Denver/Boulder region is 28.76 inches with standard deviation of 7.5 inches. However, for the winter of 1993-1994, the average snowfall for a sample of 32 different locations was 33 inches.
Required:
Does this indicate thatthe snowfall for the 1993-1994 winters has higher than the previous20-year average?
Answer:
The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.
Step-by-step explanation:
20-year mean snowfall in the Denver/Boulder region is 28.76 inches. Test if the snowfall for the 1993-1994 winters has higher than the previous 20-year average.
At the null hypothesis, we test if the average was the same, that is, of 28.76 inches. So
[tex]H_0: \mu = 28.76[/tex]
At the alternate hypothesis, we test if the average incresaed, that is, it was higher than 28.76 inches. So
[tex]H_1: \mu > 28.76[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
28.76 is tested at the null hypothesis:
This means that [tex]\mu = 28.76[/tex]
Standard deviation of 7.5 inches. However, for the winter of 1993-1994, the average snowfall for a sample of 32 different locations was 33 inches.
This means that [tex]\sigma = 7.5, X = 33, n = 32[/tex].
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{33 - 28.76}{\frac{7.5}{\sqrt{32}}}[/tex]
[tex]z = 3.2[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 33, which is 1 subtracted by the p-value of z = 3.2. In this question, we consider the standard level [tex]\alpha = 0.05[/tex].
Looking at the z-table, z = 3.2 has a p-value of 0.9993.
1 - 0.9993 = 0.0007
The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.
A square park has an area of 1/16 square miles and a length of 1/4 mile. What is
the width of the park?
Explanation:
A square has all four sides the same length. So the length and width are the same.
We can see that (length)*(width) = (1/4)*(1/4) = 1/16 square miles.
If you wanted, you could solve for W in (1/4)*W = 1/16 and you should get W = 1/4.
If x=6 find the value of x
-
2
Answer:
[tex]36[/tex]
Step-by-step explanation:
[tex] {x}^{2} [/tex]
[tex] = {6}^{2} [/tex]
[tex]= (6 \times 6)[/tex]
[tex]= 36[/tex]
Hope it is helpful...Answer:
x/2=3
Step-by-step explanation:
x=6
x/2=?
6/2=3
Therefore,x=3.
PLZ DONT LEAVE IN BLANK I WILL DO ANYTHING!!!!
The data below shows the scores of some students on a test:
29, 31, 27, 20, 25, 34, 24
Which box-and-whisker plot represents the data?
Answer:
b
Step-by-step explanation:
Select the correct answer
Consider event A and event 8. What is the probability that event Boccurs, given that event A has already occurred?
OA
PB n A)
PLA). P(8)
Ов,
P(BA)
P(A)
OC. P(BA)
P(8)
OD
PIBUA)
P(B)
Reset
Next
Answer:
[tex]P(B|A)[/tex]
Step-by-step explanation:
Probability notation:
Suppose that we have two events, event A and event B. The probability of event B occuring, considering that event A has occurred, is given by:
[tex]P(B|A)[/tex], which is the answer to this question.
Given the equation 5 + x - 12 = x- 7.
Part A. Solve the equation 5 + x - 12 = x - 7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values x -4, 0, 5 to prove your solution to the equation 5 + x - 12 F x - 7. In your final answer, include all
of your calculations.
Answer:
Step-by-step explanation:
5 + x - 12 = x- 7 (Add the 5 and -12 to simplify)
x - 7 = x - 7 (notice its the same on both sides of equal sign. Add 7 to both sides)
x = x
solution is all real numbers
Part B
5 - 4 - 12 = -4 - 7
-11 = -11
5 + 0 - 12 = 0 - 7
-7 = -7
5 + 5 - 12 = 5 - 7
-2 = -2
The volume of a cylinder is 47x cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?
O 2x
O 4x
O 2pix2
O 4pix2
Answer:
2x
Step-by-step explanation:
The volume of the cylinder is given by the following formula:
pi.r².h
4pix³ = pi x r² x x
r² = 4pix³/pix
r² = 4x²
Rooting both sides
r = 2x
r=2x is the expression represents the radius of the cylinder.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that volume of a cylinder is 4πx³ cubic units and its height is x units.
We need to find the expression which represents the radius of the cylinder.
The volume of the cylinder is given by the following formula:
π.r².h
4πx³ = π x r² x x
Divide both sides by π x
r² = 4πx³/πx
r² = 4x²
Take square root on both sides
r = 2x
Hence, r=2x is the expression represents the radius of the cylinder.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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Whenever the test results in NY are given, a study shows that 4.6 in 5 people get at least one B. The rest of the 0.4 people get straight As. If there are 5.4 million people receiving their report card, how many get As? Bs?
Answer:
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
Step-by-step explanation:
[tex]\frac{4.6}{5} = \frac{x}{5400000}\\\\5x = 2484000\\\\\frac{5}{5}x = \frac{2484000}{5} \\x = 4968000\\\\5400000 - 4968000 = 432000\\\\[/tex]
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.
Answer:
90
Step-by-step explanation:
18 out of 30 watched tv
150/30 = 5
18/30 = (18 * 5)/(30 * 5) = 90/150
Answer: 90
1. A shipping box has the
dimensions
10.5" x 7" x 3". What is
the volume of the shipping box?
Answer:
220.5 in³
Step-by-step explanation:
Volume = L×W×H
Volume = 10.5 in × 7 in × 3 in
Volume = 220.5 in³
Answer:
220.5CM ^3
Step-by-step explanation:
vOLUME = L*W*H
= 10.5*7*3
=220.5
Help me out plsssssss
Answer:
125
Step-by-step explanation:
the bearing of b to a is equal to 85+45
Please help me! And answer right, I will give you brainliest and I’m really struggling (just do the top questions)
Answer:
5, 2, -1
Step-by-step explanation:
for future reference they repeat after the middle number (in this case 10) the number all repeat just in backwards order
BE is a midsegment, Find the value of x. Please
Answer:
x10
Step-by-step explanation:
BE=1/2 * CD
x=CB/2
x=20/2
x=10
In the circle below, the measure of arc QT is 50 and the measure of angle P is 55,
What is the measure of arc RS?
Answer:
C. 160degrees
Step-by-step explanation:
Find the diagram attached
From the diagram;
<P = 1/2(arcRS - arcQT)
Given the following
arcQT = 50degrees
<P = 55 degrees
Required
arcRS
55 = 1/2(arcRS - 50)
2*55 = arcRS - 50
110 = arcRS - 50
arcRS = 110 + 50
arcRS = 160degrees
Hence the measure of arcRS is 160degrees
Party trays which cost $14.00 to make not including labor are sold for $35.00 if two people work 8 hour shifts making the trays at $7.00 per hour how many trays must be sold to cover all costs including labor?
COMPARE METALS TO NONMETAL WHICH STATMEMENT IS TURE
A,BOTH METALS AND NONMETALS ARE SHINY
B,BOTH METALS AND NONMETALS CONDUCT HEAT AND ELECTRICITY
C,NONMETALS CONDUCT HEAT AND ELECTRICITY BUT METALS DO NOT
D,METALS HAVA A SHINY LUSTER BUT NONMETALS DO NOT
Answer:
OPTION D IS THE ONLY LEGIT OPTION.
Metals have a shiny Lustre but Non metals do Not!
Answer:
D
Step-by-step explanation:
A: false. Some of the non-metals are gasses. They can hardly be classified as shinny.
Some of the metals, though solid, are not exactly shinny either.
B: Most metals conduct heat and electricity to some degree. Non metals don't.
C: The exact opposite is true.
D: I think this is the expected answer.
2b(to the power of 2)= 2.83
Step-by-step explanation:
2b²=2.83
b²=1.415
b=1.18953
Nhiệt độ tại điểm (x,y) trên một tấm kim loại phẳng được cho bởi T(x,y)=60/(1+x²+y²), trong đó T là nhiệt đo theo °C và x,y theo mét. Tìm tốc độ biến thiên nhiệt độ theo khoảng cách tại điểm (2,1) theo hướng -x và theo hướng -y.
Answer:
Sixteen
Step-by-step explanation:
My birthday was on Saturday and I turned 21 bro I hope you good
Given: RE = 2AR and RT = 2GR
Prove : ∆GAR ~ ∆TER
Answer:
Statement:- Reason:-
RE=2AR GivenRT=2GR---------
∠DRA≅∠TRE Vertical angles---------
RE/AR=RT/GR proportionality of sides---------
ΔGAR≈ΔTER SAS similarity theorem -------------------------Hope it helps...Have a great day!!Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find how many days, that Elena drove to work last week
Answer:
35×7=56 is a AWNSER djndhei
The 6 officers of the Student Council are going on a trip to an amusement park. Each student must pay an entrance fee plus $5 for meals. The total cost of the trip is $210. Solve the equation 6(e + 5) = 210 to find the cost e of the entrance fee for each
student.
Select the correct answer.
What is the approximate value of the correlation coefficient for the given graph
Answer:
x = -5
Step-by-step explanation:
the answer is -5 sussy baka
This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.
Side note: The r value and slope are both negative, but they aren't equal to one another.
Find the surface area of the prism.
Answer:
256 ft^2
Step-by-step explanation:
1. Find the base's area. 6 ft x 13 ft = 78 ft ^2
2. Find the area of one of the sides (if you know what I mean). 13 ft x 5 ft = 65 ft ^2
3. Find the area of the front (it's the triangle). 6 ft x 4 ft = 24 ft ^2 (no need to times by 1/2)
4. Before we add them all together, there are two of the sames sides that have an area of 65 ft (^2), so you add them twice. Same goes to the triangles (because there is one triangle in the front and one on the back).
5. Add.
65 ft ^2 + 65 ft ^2 + 78 ft ^2 + 24 ft ^2 + 24 ft ^2 = 256 ft^2
Answer:
B
Step-by-step explanation:
Base area = (length x height)/2 = (6 x 4)/2 = 12 ft^2
Base perimeter = (side 1 + side 2 + side 3) = 6 + 5 + 5 = 16 ft
LA = base perimeter x 13 = 16 x 13 = 208 ft^2
SA = (base area x 2) + LA = 24 + 208 = 232 ft^2
800 is 1/10 of-----------?
Simplify the expression using the order of operations. 3(7 + 4) – 8.2
[tex]3(7 + 4) - 8.2 \\ 3 \times 11 - 8.2 \\ 33 - 8.2 \\ \\ = 24.8[/tex]
Step By Step Explanation:
Calculate: Add the numbersMultiply: Multiply the numbersCalculate: Subtract the numbersAlternate Forms:
124/5 24 4/5☆彡HannaAnswer:
[tex]3(7 + 4)-8.2[/tex]
[tex]3*11-8.2[/tex]
[tex]33-8.2[/tex]
[tex]24.8[/tex]
--------------------------hope it helps...have a great day!!what is A big rubbing alcohol holds 2 liters . How many milliliters is this
Answer:
it equals 2000 mililiters
Step-by-step explanation:
Jordan and Amari run a 200-meter race, and Jordan wins by 23 meters. They decide to run the 200 meter race again with Jordan starting 23 meters behind the starting
line.
a. Assuming both runners run at the same pace as they did in the first race, who wins the second race?
Answer:
Jordan wins the second race.
Step-by-step explanation:
Jordan and Amari run a 200-meter race, and Jordan wins by 23 meters.
This means that while Jordan ran 200 meters, Amari will have ran 200 - 23 = 177 meters.
Thus, for each meter that Jordan runs, Amari runs 177/200 = 0.885 meters.
Second race:
Jordan starting 23 meters behind the starting line, and thus, he will have to run 200 + 23 = 223 meters.
When Jordan reaches the finish line, having ran 223 meters(200 + 23 behind), Amari will have ran 223*0.885 = 197.335 meters(< 200, so he will not have reached the finish line), and thus, Jordan wins the second race.
I need help with this
HELPPPPPP PLEASEEEEE ILL GIVE BRAINLIEST AND POINTS!!
(you dont need to answer them all but at least help me with a couple)
1) Explain Uganda’s ABC program in the fight against HIV/AIDS
2) Why has the Ugandan government pushed Abstinence as a means of combating the spread of HIV/AIDS?
3) What risks are involved with the use of condoms in combating the spread of HIV/AIDS?
4) On a separate piece of paper, construct a population pyramid to illustrate the current age groups infected by HIV/AIDS in Uganda.
There are 2 people in the Hill family. Each person
reads the same number of books. They read 12 books
in all. How many books does each person read?
A
18 books
B
6 books
C
8 books
D
10 books
Answer:
6
Step-by-step explanation: