Answer:
Step-by-step explanation:
A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.
Receiver: Kenwood, Sony, Sherwood
Compact disc player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Turntable: Onkyo, Sony, Teac, Technics
A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:
A. In how many ways can one component of each type beselected?
B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?
C. In how many ways can components be selected if noneis to be sony?
D. In how many ways can a selection be made if at leastone sony component is to be included?
E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?
A wooden roller coaster contains a run in the shape of a sinusoidal curve, with a series of hills. The crest of each hill is 108 feet above the ground. If it takes a car 1.9 seconds to go from the top of a hill to the bottom (4 feet off the ground), find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.
Answer:
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Step-by-step explanation:
We are given that
Height of crest, h=108 feet
Time for one cycle, T=1.9 s
We have to find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.
We are given
[tex]y=Asin(\omega t-\phi)+B[/tex]
Amplitude,[tex]A=\frac{108-4}{2}=52 feet[/tex]
[tex]B=A+4=52+4=56 feet[/tex]
[tex]\omega=\frac{2\pi}{T}[/tex]
Using the formula
[tex]\omega=\frac{2\pi}{1.9}=3.3/s[/tex]
We assume,
Horizontal shift [tex]\phi=-\frac{\pi}{2}[/tex]
Substitute the values
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Hence, the sinusoidal function that models the motion of the coaster train during this run starting at the top of a hill is given by
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
f(x)= 4x+3, g(x)= x-2
Find g(f(x))
Answer:
4x + 1
Step-by-step explanation:
g(f(x)) = (4x + 3) - 2
= 4x + 1
'Twice a number n decreased by five'.
Answer:
2n-5
Step by step Explanation:
You must put 2 in front of "n" to represent the multiplication of the 2 numbers. Then put a subtraction sign and five the show the number is decreased by 5.
Hope this helps!
A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school week. A skeptic suspects that they study less than that on the average. A class survey finds that the average study time claimed by 272 students is xbar= 141 minutes, with a sample standard deviation of 66.
Regard these students as a random sample of all first-year students and suppose we know that the study times follow a Normal distribution.
What is the standard error of the sample mean?
Consider the hypotheses H0: µ = 150 against Ha: µ < 150.
What is the value of the test statistic? Give your answer to two decimal places.
The p-value for the correct test statistic is 0.0126. What do you conclude at the a = 0.05 level?
We do not have enough evidence to say that students are not studying 2.5 hours per night during the school week.
We have strong evidence that, on average, students study less than 2.5 hours per night during the school week.
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
The volume of a cube is 216 ft^3. What is the length of a side?
Answer:
54
Step-by-step explanation:
cause a cub has 4 sides so each side is 54
Answer:
The length of a side is 6.
Step-by-step explanation:
Since, the volume of a cube is equal to l*w*h.
V=l*w*h
Volume is equal to side cubed.
V=s^3
Cube 216 to get 6.
216=s^3
3^√216=s
Answer: 6
Equation A: y = 6x - 1
Equation B: y = 8x - 3
What is the solution (
,
) to the given set of equations?
Answer:
comparing both the equation,
3X-3=6x-1
or, -2 =3X
or, X= -2/3
Y=6X-1
or, Y= 6× -2/3 -1
or, Y= -4-1
or, Y= -5
hence the required solution is (-2/3, -5)
XYZ are referred to as the area number. The number is associated with where you registered for your social security card. X is a number 1 – 7. Y and Z can be any number 0 – 9. How many area code numbers are possible?
9514 1404 393
Answer:
700
Step-by-step explanation:
The numbers can range from 100 to 799. There are 700 possible numbers.
help me, please...............
Answer:
337.50
Step-by-step explanation:
what is the slope of this graph thank you
Answer:
-1/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1/3
The price of an ice cream cone is $3.25, but it costs $3.51 with tax. What is the sales tax rate?
Answer: 8%
Step-by-step explanation:
Hope it helps. If it does mark me brainliest plz
I’ll give brainliest please help
answer is 11 boy now enjoyyyyyyyyy
Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose the correct answer for both rows of the table. HELP GODDD PLZ PLZ PLZ HELP
Answer:
B and H.
Step-by-step explanation:
By the triangle inequality, any two sides of a triangle must be greater than the remaining side.
Triangle 1)
The side lengths are 9, 40, and 41.
We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.
Remember that if:
[tex]c^2=a^2+b^2[/tex]
We have a right triangle.
[tex]c^2>a^2+b^2[/tex]
We have an obtuse triangle.
And if:
[tex]c^2<a^2+b^2[/tex]
We have an acute triangle.
In all of these, c is the longest side.
Therefore, we will substitute 41 for c and 9 and 40 for the others:
[tex]41^2\text{ }?\text{ }40^2+9^2[/tex]
Evaluate:
[tex]1681=1681[/tex]
Since the two values are equivalent, the first triangle is a right triangle.
Triangle 2)
Again, adding up the two smaller sides gives that 8 + 10 = 18.
However, 18 is less than 21, so it does not satisfy the triangle inequality.
Therefore, the given side lengths cannot form a triangle.
13 inches eaquals iwhat n fraction
Answer:
13" = 13/1" = 13"
Step-by-step explanation:
Jason wants to earn money by raking leaves. He buys a rake that costs $20.00. He plans to charge $6.00 for each
lawn that he rakes. (A-CED.2)
A. Write an equation to represent P, the amount of Jason's profit, if the number of lawns he rakes is r.
B. Use your equation to calculate the amount of profit Jason will make if he rakes 15 lawns.
Helppppppppp meeeeeeee!
Answer:
The equation would be 6r-20... If he raked 15 lawns, his profit would be $70
Step-by-step explanation:
For B. plugin 15 where r is... then multiply that by 6... which will get us 90. Then subtract the $20 rake fee and we get a profit of 70 dollars. Hope this helps!
Pls help I’ll brainlest ASAP ASAP
Answer:
3
Step-by-step explanation:
9 times 3 is 27. 27 plus 8 is 35
Answer:
d=3
Step-by-step explanation:
Need help fast! Solve for y and a if possible please
12 divided by 8587 step by step.
Answer:
0.00139746127868
Step-by-step explanation:
just use a coculator
Find the Greatest common factor
42,60
Answer:
6
Step-by-step explanation:
Greatest common factor (GCF) of 42 and 60 is 6.
As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.
List out all of the prime factors for each number:
Prime Factors for 42: 2, 3, and 7
Prime Factors for 60: 2, 2, 3, and 5
Now that we have the list of prime factors, we need to find any which are common for each number.
Looking at the occurences of common prime factors in 42 and 60 we can see that the commonly occuring prime factors are 2 and 3.
To calculate the prime factor, we multiply these numbers together:
GCF = 2 x 3 = 6
(hope this helps can i plz have brainlist :D hehe)
2x2-4? that is my question
1. Millie has some jelly beans (x) in a bag. She takes out 12 licorice- flavored jelly beans. Suppose 34 jelly beans remain in the bag. Which statements are correct for this situation? 20 points
Answer:
Chile it was c and d
Step-by-step explanation:
Justin says that the value of the expression is 450. How did he get that answer?
8+13+4×1/3(27÷1/2).
From 1999 to 2008, the United States Mint
produced commemorative quarters for each
state in the United States. Each year, quarters for
fi ve diff erent states were circulated to the public,
and many people collected the coins. Steven
wanted to collect these coins, so his uncle gave
him a handful of the state quarters. Steven made
this list of the coins that he was given.
1. Steven put all the coins in his pocket and
pulled one out at random.
a. What is the probability that he selected
a Texas quarter?
b. What is the probability that he selected a quarter minted in 2002?
c. Use the sample space to explain how you determined these probabilities.
Answer:
a. [tex]\frac{2}{13}[/tex]
b. [tex]\frac{3}{13}[/tex]
c. See the step-by-step explanation.
Step-by-step explanation:
A table given by OP
State Year
Tennessee 2002
Tennessee 2002
Ohio 2002
Alabama 2003
Maine 2003
Florida 2004
Florida 2004
Florida 2004
Texas 2004
Texas 2004
California 2005
California 2005
Kansas 2005
a. There are 2 Texas quarters and 13 coins in total, so the probability of selecting a Texas quarter at random is [tex]\frac{2}{13}[/tex].
b. Analagously, the probability is [tex]\frac{3}{13}[/tex], because there are 3 quarters minted in 2002.
c. See a and b.
Sheldon also picks tomatoes from his garden he picked 5 3/10 kg but 1.5kg were rotten and had to be thrown away how many were not rotten
Answer:
Step-by-step explanation:
mega has 3 weter botels and wants to give each of her friends 4 how many will she need
Answer:
12
Step-by-step explanation:
3 times 4 is 12
write 1,593 in standard form
Answer:
one thousand five hundred and niethree .
Step-by-step explanation:
You just use words instead of numbers.
The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?
Answer:
1.33 or about 2
Step-by-step explanation:
Answer:
12 cups of raisins
Step-by-step explanation:
If our ratio is 3 to 1 or for every one cup of oatmeal we have 3 cups of raisins, we want our new ratio to be equal to that ratio!
Our new ratio is ? to 4, we know that for every one cup of oatmeal we have 3 cups of raisins then...
We have to multiple 3×4 to find our ?
3×4 = 12
So, we know that for every 4 cups of oatmeal we will have 3 cups of raisins!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Write an equivalent expression for x + x + x
Answer:
x+2x is an equalent expression
Answer:
An equavalent expression is 3x+0
Use the Distributive Property to express 18 +24
3(6+9)
6 (3+4)
6(2 + 5)
9(2+3)
Find the value of x... Please look at the attachment below
13
Owen and Tony are helping pick apples on their aunt's farm. Owen has picked 127 apples and Tony has picked 261 apples.
Choose the equation that can be used to find how many more apples Tony picked than Owen.
OA. ? - 261 = 127
OB. 261-127 = ?
OC. 127 - 261 = ?
OD. ?-127 = 261
Reset
Submit
Answer:
The answer is B
