A recent newspaper article claimed that more people read Magazine A than read Magazine B. To test the claim, a study was conducted by a publishing representative in which newsstand operators were selected at random and asked how many of each magazine were sold that day. The representative will conduct a hypothesis test to test whether the mean number of magazines of type A the operators sell, μAμA, is greater than the mean number of magazines of type B the operators sell, μBμB. What are the correct null and alternative hypotheses for the test?
A. H0:μA−μB=0Ha:μA−μB>0H0:μA−μB=0Ha:μA−μB>0
B. H0:μA−μB<0Ha:μA−μB>0H0:μA−μB<0Ha:μA−μB>0
C. H0:μA−μB=0Ha:μA−μB≠0H0:μA−μB=0Ha:μA−μB≠0
D. H0:x¯A−x¯B=0Ha:x¯A−x¯B>0H0:x¯A−x¯B=0Ha:x¯A−x¯B>0
E. H0:μB−μA=0Ha:μB−μA>0H0:μB−μA=0Ha:μB−μA>0
Answer:
Option A.
Step-by-step explanation:
The representative will conduct a hypothesis test to test whether the mean number of magazines of type A the operators sell, μAμA, is greater than the mean number of magazines of type B the operators sell, μBμB. What are the correct null and alternative hypotheses for the test?
To verify this, the distribution used is [tex]\mu_{A} - \mu_{B}[/tex]
The null hypothesis is an equality, which means that it is:
[tex]H_{0} = \mu_{A} - \mu_{B} = 0[/tex]
At the alternate hypothesis, we want to test if the mean number of type A is greater than type B, that is, the distribution is positive. So
[tex]H_{A} = \mu_{A} - \mu_{B} > 0[/tex]
So the correct answer is given by option A.
Donna makes 8 dollars for each hour of work write an equation to represent her total pay p after working h hours
Answer:
8h=p
Step-by-step explanation:
P is pay
H is hour
u make 8 dollars for an hour, so for h hours it would be 8h
If 2x - 3y = 24 and 3x + 4y = 2, what is the value of x - y?
Answer:
2x-3x=24____eqn 1
3x+4y=2____eqn 2
solve eqn 1 and 2 simultaneously using elimination method
eliminate x use the coefficients of x in the two equations to multiply each other i.e
3(2x-3y=24)
2(3x+4y=2)
6x-9y=72
6x+8y=4
eliminate x using the subtraction sign(-)
6x-6x-9y-(+8y)=72-4
-9y-8y=68
-17y=68
divide both side by the coefficient of y
y=68/-17
y=-4
put y=-4 in eqn 2
3x+4y=2
3x+4(-4)=2
3x-16=2
collect like term
3x=2+16
3x=18
divide both side by the coefficient of x
x=18/3
x=6
since we're asked to find x-y
6-(-4)
6+4=10
Baby booked into the muffins how many total muffins did he make
will give brianlist
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
120 millimeters
12 millimeters
1,200 millimeters
1.2 millimeters
The radius of a circle is 7 m. Find its circumference in terms of pi.
Answer:
Step-by-step explanation:
Circumference is 2pir
So 14pi meters
Which, if any , of the following equality’s is incorrect ?
Answer:
x = 32 is incorrect
Step-by-step explanation:
[tex]32 = \frac{1}{2} (x + 16) \\ \\ 32 \times 2 = x + 16 \\ \\ 64 = x + 16 \\ \\ x = 64 - 16 \\ \\ x = 48 \\ \\ y =360-(48+114 + 16) \\ \\ y =360-178 \\ \\y = 182 \\ \\ 4 \times n = 6 \times 3 \\ \\ n = \frac{18}{4} \\ \\ n = 4.5[/tex]
Help me pleaseeeeeeeeeeeeee
Answer:
Step-by-step explanation:
i can't see the number srry:(
Cristian divides 6 cups of fruit juice equally among 8 friends. Two of his friends don't drink the juice. How much juice is left over?
A. 3/4 cup
B. 1.5 cups
C. 4 1/2 cups
D. 5.25 cups
Why?
please help
Answer:
B. 1.5 cups
Step-by-step explanation:
6/8 = 0.75
each person gets 0.75 each
Since 2 people chose not to drink the juice. the left overs would be 0.75*2
0.75*2=1.5
what is the slope of the line 8y = -16
Answer: y=-2
Step-by-step explanation:
8y=-16
divide by 8 on each side
y=-2
A die is rolled 3 times. What is the probability of getting 1's on each roll?
0.5
Step-by-step explanation:
1/6 times 3 equals 0.5 or 3/6 or 1/2
What transformation preserves angle measures but not side lengths?
Translation
Rotation
Reflection
Dilation
Answer:
translation
Step-by-step explanation:
I'm pretty sure
need help ASAP!!!!!
What is the common ratio for f(x)=2^x-3+5
Answer:y=2x−3+5
Step-by-step explanation:
I need help with the first one plz
Answer:
The answer is $3.09
Step-by-step explanation:
Hope this helps
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type per hour? Round to the nearest hundredth.
Answer:
5.34 pages/h
Step-by-step explanation:
4/45 = p/60
p ≈ 5.34
Answer:
Step-by-step explanation:
3/4 of an hour is the same as 0.75
Write a proportion.
4 (pages)/0.75 (hours)=p(pages)/1 hour
Cross multiply and divide
(4x1)÷0.75=5.33 (rounded to the nearest hundred)
p=5.33
Marcia can type 5.33 pages per hour.
What is the answer to 6= m + 6
Answer:
m= 0
Step-by-step explanation:
6=m+6
6−6=m+6−6
m=0
brainliest would be appreciated. have a great day :)
A baker uses 3/4 teaspoon cinnamon for every 2/3 can of pumpkin when making pumpkin muffins. How much cinnamon does the baker need for each can of pumpkin?
Answer:
9/8 teaspoon
Step-by-step explanation:
The original ratio is 0.75:0.66 (x:y). We need to find x when y = 1.
0.66*1.5 = 1
So, if the original y was multiplied by 1.5 to get 1 (which we need) then we can multiply the original x to get our answer.
0.75*1.5 = 1.125
Convert into fractional form:
1.125 = 9/8
Your answer is 9/8 teaspoon of cinnamon per one can of muffins.
Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?
I purchase a new gaming system on opening night. Since I am one of the first 100 customers to purchase the system, the store gives me a 20% discount of the regular cost. If I pay $500 for the gaming system at the discounted price, what is the regular cost of the gaming system?
I WILL GIVE BRAINLIEST
Answer:
2500
Step-by-step explanation:
50020%50020%
Convert 20%20% to a decimal.
5000.25000.2
Divide 500500 by 0.20.2.
2500
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.
Answer:
a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.
Four components means that [tex]n = 4[/tex]
Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]
a) Find the probability that exactly two of the four components last longer than 1000 hours.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) Find the probability that the subsystem operates longer than 1000 hours.
It will operate if at least two compoents last longer than 1000 hours. So
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]
0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Shivaun claims that the opposite of the opposite of a number is itself.
Which of the following equations supports this claim?
1-6 = 6
-6=6
-(-6) = 6
-6+6 = 0
I need help With this
Answer:
Step-by-step explanation:
C
Answer: A
Step-by-step explanation:
There u go
Math!!!! Fined the area of the triangle
Answer:
Area = 40 cm²
Step-by-step explanation:
Area of triangle is derived by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Length of Base = 8 cm
Height of the triangle = 10 cm
Therefore, area of the given triangle = [tex]\frac{1}{2}(8)(10)[/tex]
= 40 cm²
What’s the equation of the line in fully simplified slope-intercept form
Answer:
y= -x - 8
Step-by-step explanation:
To write an equation in slope-intercept form, we naturally need both the slope and the y-intercept. Here, our y-intercept is -8, and our slope is -1. The general form of a line in slope intercept form is y = mx + b, where m is the slope and b is the y intercept. Using our values of m = -1 and b = -8 then gives us the equation y = -x - 8.
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44
Find the product
1. 3/2 ×2/5
2. 3/-5×-5/3
Answer:
1- 3/5 or .6
2- 1
Step-by-step explanation:
Is 5/7 greater than or less than 2/8
Answer:
greater than lol
Step-by-step explanation:
Answer:
5/7 is grater than 2/8
Step-by-step explanation:
5/7 = 0.714
2/8 = 0.25
therefore 5/7 is grater than 2/8
Round to the nearest tenth
Answer:
Step-by-step explanation:
Pythagorean theorem: b² + 6² = 14²
b² = 14² - 36² = 160
b = 4√10
sin(A) = 6/14 = 3/7
∠A = arcsin(3/7) ≈ 25.4°
∠B ≈ 90° - 25.4° = 64.6°
549 customers are 36% of how many customers?
Answer:
513
Step-by-step explanation:
549- 36 = 513
solve the equation 12n-60
Answer:
n-5
Step-by-step explanation:
The ratio of the girls to boys in the school
marching band is 10 to 8. If there are 32 boys in
the marching band, how many of the students in
the marching band are girls?
A 38
B, 40
C. 26
D, 42