Answer:
Step-by-step explanation:
From the question we are told that:
Null Hypothesis [tex]H_0: 50[/tex]
Alternative Hypothesis [tex]H_a: > 50[/tex]
Sample size [tex]n=50[/tex]
standard deviation[tex]\sigma=6[/tex]
Significance level [tex]\alpha=0.05[/tex]
a)
Sample mean [tex]\=x=52.5[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{52.5-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.95[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Reject the Null hypothesis [tex]H_0[/tex]
b)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=1.18[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude,The value of test statistics is less than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
c)
Sample mean [tex]\=x=51[/tex]
Generally the equation for Test statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]t=\frac{51.8-50}{\frac{6}{\sqrt{50} } }[/tex]
[tex]t=2.12[/tex]
Therefore from table
[tex]Critical\ value=1.645[/tex]
We conclude The value of test statistics is greater than critical value.
Therefore we Fail to Reject the Null hypothesis [tex]H_0[/tex]
Solve for x
2
х
al
2
Answer:
4/5 = x
Step-by-step explanation:
2/5 = x/2
Using cross products
2*2 = 5x
4 = 5x
Divide by 5
4/5 = 5x/5
4/5 = x
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex] \frac{2}{5} = \frac{x}{2} [/tex]
Use the cross multiplication method.
[tex]2 \times 2 = x \times 5 \\ 4 = 5x \\ \frac{4}{5} = x[/tex]
➳ Answer = [tex] \frac{4}{5} [/tex]
3 inches
7
6 points
A cylinder whose height is 5 meters has a volume of 3207. Find the radius.
64 meters
12.8 meters
8 meters
1
201 meters
2
8
6 points
3
The lateral area of a cube is 36 square inches. How long is each edge?
Answer:
8
3
Step-by-step explanation:
Volume of a cylinder = πr²h
Volume = 3207
Radius, r
Height, = 5
320π = π * 5 * r²
320 = * 5 * r²
320 = 5 * r²
r² = 320/ 5
r² = 64
r = 8 m
The lateral surface area of a cube is
LSA = 4s²
Where s = edge length
36 = 4s²
s² = 36/4
s² = 9
s =. sqrt(9)
s = 3
The band must decide when to meet for a practice. The possible days are Tuesday or Wednesday. The possible times are 3, 4, or 5 p.m.
Write the sample space to represent all of the options. How many options are there?
Answer:
There are 6 options, sample space is below.
Step-by-step explanation:
The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options. Therefore, the sample space is: (usually this would be a picture, with arrows. search it )
for Tuesday: 3, 4, or 5
for Wednesday: 3, 4, or 5
Find the surface area of each sphere shown below. Round you
32 yd
Joe is recording the percentages he earned on each quiz In his math class. Here are his results for the last 7 quizzes. 72, 82, 65, 67, 80, 81, 67 Find the range of the data set.
5. (08.02 MC) Which of the following graphs shows a pair of lines that represents the equations with the solution (3, -6)? (1 point)
Answer:
Hello, it appears you did not attach an image that would provide the necessary information for me to answer your question. I cannot see the graphs, so I'm afraid unless you present a photograph, I'm cannot help you. If you show me the graphs, I'd be more than happy to help you!
Step-by-step explanation:
what is the value of y in the following system of equations ? 2x + 3y = 6 2x + y = -2
y = 4
Step-by-step explanation:
2x + 3y = 6. #1
2x + y = -2. #2
Subtract Eq 2 from Eq 1,
3y - y = 6 - (-2)
2y = 8
or
y = 4
Answer:
y = 4
Step-by-step explanation:
2x + 3y = 6
2x + y = -2
Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.
2x + y = -2
Subtract 2x from both sides.
y = -2x - 2
Now that we have y as an expression, plug it into the first equation.
2x + 3y = 6
2x + 3(-2x - 2) = 6
Distribute the 3 across the parentheses by multiplying.
2x - 6x - 6 = 6
Combine like terms.
-4x = 12
Divide both sides by -4.
x = -3
Now we have solved x.
To solve for y, plug x back into one of the equations.
y = -2x - 2
y = -2(-3) - 2
Multiply.
y = 6 - 2
Subtract.
y = 4
Check your answer by plugging both values back into the original equations.
2x + 3y = 6
2(-3) + 3(4) = 6
Multiply.
-6 + 12 = 6
Add.
6 = 6
Your answer is correct.
Hope this helps!
Answer two questions about Equations A and B:
A. 5x = 3x
B. 5 = 3
1) How can we get Equation B from Equation A?
A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Multiply/divide both sides by the same non-zero constant
D. Multiply/divide both sides by the same variable expression
2( Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No
Solve for the x variable
Answer:
5x-5.2=7.3
5x=7.3+5.2
5x=12.5
x=12.5÷5
x=2.5
Answer: x = 2.5
Step-by-step explanation:
Try to get x by itself
5x - 5.2 = 7.3
5x = 7.3 + 5.2
5x = 12.5
x = 12.5 / 5
x = 2.5
Explain the meaning of probability. What does it mean if an event has a probability of 0? Give an example. What does it mean if an event has a probability of 1? Give an example. What does it mean if an event has a probability of 1/2? Give an example. (LONG ANSWERS ONLY)
Answer:
If an event has a probability of 0 it means that it is impossible. For example when they say there is 0% of rain. It is very unlikely it is going to rain. If an event has a probability of 1 it means that it is certain. For example, if they say there is a 100% chance it is going to rain. It is very certain that it's going to rain. If an event is 1/2 then it means there it is likely as it is unlikely. For example, if they say there is a 50% chance of rain. Then it might not rain, but there is a chance that it might rain as well.
Step-by-step explanation:
Hope this helps!
Probability can simply be defined as the chances of an event a, occuring with respect to event b, with respect to event n, given an nth number of possible outcomes.
Probability can be calculated using the following expression:
[tex] \frac{freq \: of \: event \: n}{freq \: of \: total \: number \: of \: events} [/tex]
When an event has a probability of 0, it means that by no chance or condition will the event be true. For example, the probability of a person who is a boy has 0 probability that he is a girl.
When an event has a probability of 1, it means that with every chance or condition, the event will be true. For example, the probability that a person who is a boy has a probability of 1 that he is a boy.
An event that has a probability of 1/2 means that the event could either return a probability of 0 or 1 on different chances or conditions. For example, the probability of a fuetus whose gender is not known has a probability of 1/2 for being a boy and 1/2 for being a girl.
The lateral areas of two similar cylinders are 196π in^2 and 324π in^2. The volume of smaller cylinder is 1715π in^3. Find the volume of the larger cylinder.
Answer:
3,645 π in³
Step-by-step explanation:
the ratio of the radius :
r1 : r2 = √196 : √324
= 14 : 18
= 7 : 9
the ratio of the volume:
v1 : v2 = 7³ : 9³
= 343 : 729
so, the volume of the larger cylinder =
729/343 x 1715π = 3,645 π in³
Answer:
since the cylinders are similar their area and volume will be proportional
[tex]\frac{lateral\:area \:of \:smaller \:cylinder}{laternal\: area \:of \:larger\: cylinder}=\frac{volume \:of\: larger\: cylinder}{volume \:of \:larger \:cylinder}[/tex]
[tex] \frac{196π}{324π}=\frac{1715π}{V}[/tex]
V=1715π*324π/126π
V=4410πin³
the volume of the larger cylinder is 4410πin³.
Find the surface area of the above solid.
A. 52 cm2
B. 43 cm2
C. 54 cm2
D. 58 cm2
Answer:
A.52 cm2 ihope ihelp po hehe
A riddle for the day
I am less than 7 tens and more than 4 tens I am a odd number if you add both my digits you will get 11 which number am I?
47
65
67
74
Answer:
two of them are possible which one is the correct
please tell me where to graph this!! (include if i open circle or not please) (NO FILE ANSWER!!!)
Answer:
1.Make the circle open
2.put the dot on 5
3. change direction
Step-by-step explanation:
A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.
Have a nice day! :-)
Answer:
closed circle on 3 with line pointing right
Step-by-step explanation:
the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3
What is the answer to this ?
Answer:
the answer is 180
Step-by-step explanation:
What is the degree?
6−n
2
+5n
3
Answer:
The degree is 3
Step-by-step explanation:
Given
[tex]6 - n^2 + 5n^3[/tex]
Required
The degree
The highest power of the variable is regarded as the degree of the polynomial
In the given polynomial, the variable is n.
And the powers of n are:
[tex]n = \{0,2,3\}[/tex]
The highest power is 3; Hence, the degree is 3
Can someone please help.
Answer:7-10
Step-by-step explanation:
In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table
And the change from 7-10 is the highest change that is "next to each other"
The top three oil producers in the United States in a certain year were the Gulf of Mexico, Texas, and Alaska. The three regions were responsible for 64% of the United States oil production. The Gulf of Mexico and Texas combined for 47% of oil production. Texas produced 3% more than Alaska. What percent of United States oil production came from these regions?
Answer:
27% of United States oil production came from Gulf of Mexico.
20% of United States oil production came from Texas.
17% of United States oil production came from Alaska.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
Gulf of Mexico produced x%.
Texas produced y%.
Alaska produced z%.
The three regions were responsible for 64% of the United States oil production.
This means that:
[tex]x + y + z = 64[/tex]
The Gulf of Mexico and Texas combined for 47% of oil production.
This means that [tex]x + y = 47[/tex].
We use this to find z.
[tex]47 + z = 64[/tex]
[tex]z = 64 - 47 = 17[/tex]
17% of United States oil production came from Alaska.
Texas produced 3% more than Alaska.
Then:
[tex]y = z + 3 = 17 + 3 = 20[/tex]
20% of United States oil production came from Texas.
Gulf of Mexico
[tex]x + y = 47[/tex]
[tex]x = 47 - y = 47 - 20 = 27[/tex]
27% of United States oil production came from Gulf of Mexico.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
30
you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total
8. At a wholesale food distribution center, the price of sugar has increased 6.3% annually since 1980.
Suppose sugar cost $0.43 per pound in 1980 and this growth continues. What will a pound of sugar
cost in 2017? Use y = a(1 + r) and round to the nearest cent.
a. $4.12 b. $1.21
c. $0.42 d. $3.30
Answer: A. $4.12
Step-by-step explanation:
Y=a(1+r/n)^nt is the equation we use to solve this.
a= $0.43
t=37 - take 1980 and subtract it from 2017
r= .063 - the 6.3% goes into a decimal
n = 1
Y= ?
Y= 0.43( 1+ .063/1) ^1*37
Y= 0.43 (1.063) ^37
Y= 4.12
15 PTS PLEASE HELP QUICK THE QUESTION IS BELOW
What is the measure of ∠E?
Answer:
80 degrees
Step-by-step explanation:
first we need to find the measure of F, we know a straight line equals 180 so we subtract 120 from 180
180-120=60
then add that to angle D
60+40=100
and all triangle angles add up to 180 so subtract 100 from 180
180-100=80
80 is your answer
The triangle shown below has an area of 40 units. Find the missing side.
8 and 9 are both sides (help meeee)
Help me pleaaaaaseeee
ughhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
Hello! answer: 260.66
Step-by-step explanation:
I dont know for sure but I'd assume you would add them all up for the total so 260.66 is the total when adding them up
write an EXPRESSION for the following!
4 less than x
17 more than x
the product of 18 and x
the quotient of x and 17
70 less than x
Answer:
70
Step-by-step explanation:
8+its 70 less than x hope it will be helpful
carol rolled a dice 150 times she rolled a six 39 time
Answer:
nice
Step-by-step explanation:
whats the rest of the problem or is it just that she rolled a dice
Plz help me well mark brainliest if correct
What is the same ration of 2/3
Answer:
4/6
Step-by-step explanation:
Answer:
4/6
Step-by-step explanation:
Okay can somebody please me fast with this problem
Answer:
3
Step-by-step explanation:
I don't know plz correct me If I'm wrong
Also brainliest?
Step-by-step explanation:
skakisjsjsjjajabbajaj
solve the triangle please
Answer:
b
Step-by-step explanation:
b