Answer:
Diana's score is better.
Step-by-step explanation:
In Diana case :
Score = 92
Mean score , μ = 71
Standard deviation σ = 15
So,
P( x ≥ 92 ) = 1 - P( x ≤ 92 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )
= 1 - P( z ≤ 1.4 )
= 1 - 0.9192
= 0.0808 = 8.08 %
⇒P( x ≥ 92 ) = 8.08%
∴ we get
Diana score is > 91.92% other students in the class.
In Micheal case :
Score = 688
Mean score , μ = 493
Standard deviation σ = 150
So,
P( x ≥ 688 ) = 1 - P( x ≤ 688 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )
= 1 - P( z ≤ 1.3 )
= 1 - 0.9032
= 0.0968 = 9.68 %
⇒P( x ≥ 688 ) = 9.68%
∴ we get
Micheal score is > 90.32% other students in the class.
From both scores , we can conclude that
Diana's score is better.
solve for x, will give brainliest
giving alot of points
Answer:
x < -50
Step-by-step explanation:
Answer:
x < -50
Step-by-step explanation:
Kevin wrote the inequality shown below, but his teacher marked it incorrect. What can Kevin change to make the inequality true?
Answer:
10
Step-by-step explanation:
Which phrase describes the variable expression z+ 8?
A. The product of 8 and z
B. z decreased by 8
C. The quotient of 8 and z
D. z increased by 8
Answer:
D
Step-by-step explanation:
In math increased means that you are adding.
Have a good day and a good rest of your week!
If v = 1, find
answer pls
Answer:
0
Step-by-step explanation:
substitute 1 for v
2(1)^3 - 1^2 + 3(1) - 4
2 - 1 + 3 - 4
1 + -1
0
Answer:
0
Step-by-step explanation:
Substitute (1) for every time (V) appears.
2(1)^3 - (1)^2 + 3(1) - 4 = 2 - 1 + 3 - 4
2 - 1 + 3 - 4 = 0
What are the dimensions of the original rectangle?
O 5 feet by 1 foot.
O 5 feet by 6 feet.
O 25 feet by 1 foot.
O 180 feet by 36 feet.
PLZ HELP FAST
Answer:
5 feet by 1 foot
took the unit test on edge
Answer:
5 by 1
Step-by-step explanation:
solving the systems of linear equations by substitution.
x+2y=6
5x+2y=18
Jordan mixed together 9 gal. of Brand A fruit drink and 8 gal. of Brand B fruit drink which contains 48% fruit juice. Find the juice in Brand A If the mixture contained 30% fruit juice.
Answer:
Step-by-step explanation:
You do this by figuring out the amounts of pure fruit juice in all.
Explanation:
Mixture:
17 gal 30% contains:
17
⋅
30
100
=
5.10
gal pure juice
From Brand B:
8 gal 48% contains:
8
⋅
48
100
=
3.84
gal pure juice
So
5.10
−
3.84
=
1.26
gal came from 9 gal of brand A
So the percentage of A is:
1.26
9
⋅
100
=
14
%
pure juice.
Mark brainliest if this answer is correct please
What is the quotient of 33.288 and 7.6?
Answer:
219/50 or 4.38
Step-by-step explanation:
divide
Simplify the expression. Write the answer in scientific notation.
(0.2 x 104) (4x10-8)
!pls pls pls!
Answer: 83.2
x
11
−
166.4
x
Step-by-step explanation: Multiply
104
by
0.2
.
20.8
x
(
4
x
10
−
8
)
Apply the distributive property.
20.8
x
(
4
x
10
)
+
20.8
x
⋅
−
8
Simplify the expression.
que multiplicacion me da 11
Answer: 11 times 1
Step-by-step explanation:
Answer: 11 por 1
Step-by-step explanation:
Solve the system of equations by the substitution method.
x = 3y -4
5x - 2y = 19
Answer:
g
Step-by-step explanation:
A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x <10 represent the situation.
Which best explains the number of possible solutions to the inequality?
There is one solution because 9 is the only number between 8 and 10.
There are a three solutions because 8, 9, and 10 are possible solutions.
There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Answer:
There are infinite solutions because there is always another number between any two numbers.
Step-by-step explanation:
(IF CORRECT I WILL MARK YOU BRAINLYIEST The stem and leaf plot below shows the prices of cars and vans at a dealership, in thousands of dollars. What is the difference between the range of the van prices and the range of the car prices?
A.) $6,000
B.) $7,000
C.) $4,000
D.) $5,000
Answer:
The answer is C.) $4,000
(08.06) A student wants to report on the number of meals his friends buy each week. The collected data are below: 4,19,3,3,2,3,2,4. Which measure of center is most appropriate for this situation and what is its value?
Answer:
median
Step-by-step explanation:
For a group of data with one big outlier, the mean is thrown off.
Like a room of 10 people who each make $50,000 a year except for one person who makes $2 million a year. The mean average for that group would be $245,000 a year but it reflects the actual circumstance of NOBODY in the room.
The median is more refective of the 'average' in these situations.
you have approximately 1/4 of tank of gas.your tank holds 20 gallons.how much gas do you have left? if you plan to fill the tank,how many gallons will you purchase? if gas cost $21/2 per gallon,how much will it cost you to fill up
Step-by-step explanation:
if you have a quarter tank then what is empty is 15 gallons because 20*3/4=15
you now need to fill up the 15 gallons, if each gallon is 21/2 dollars then 15*21/2 should give us a price. 21/2=10.5
15 gallons*10.5 dollars=$157.5 for the final price
Length of time for a shower and the amount of water used
A. Positive association
B. Negative association
C. No association
Answer:
A. Positive association
Step-by-step explanation:
Positive association means as one factor increases, the other does as well.
The more time you shower, the more water you use.
I NEED HELP!!! Due tonight! I need the answer and how to solve it!
Answer:
a) m<BAC=37°
b) AC=44
Step-by-step explanation:
A) m<BAC=180-71-45-27=37°
B) 2(2x+2)=5x-3
4x+4=5x-3
7=x
AE=2(4x-6)
8x-12
8(7)-12
56-12
44
The points (28,36) and (29, 31) fall on a particular line. What is its equation in slope-intercept form?
Answer:
y=-5x+176
Step-by-step explanation:
Write an algebraic equation showing that the two points equal each other and then evaluate it.
Does anyone know the answer and could you explain how you got your answer? THANK YOUU
Answer:
This would be a 60% increase
Step-by-step explanation:
40-25 and divided by 25 times 100
you should get 15/25 multiply it by 100=60%
whats a reason why the emperors of rome didnt like jesus?
Answer: because they didn't believe that he really could perform miracles
Step-by-step explanation: I'm a christian
A call center requires every employee to make 280 calls each week. Employees work 5 days a week.
How many calls should an employee make each day to meet the requirement if they make the same number of calls each day?
40
56
60
1,400
1,500
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01.
(a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
(b) x = 53 and s = 4.6
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) x = 56 and s = 5.0
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Answer:
Step-by-step explanation:
Given that:
[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]
(a) For x = 54 and s = 5.3
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]
Z = -1.132
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-1.132,35,1) = 0.1326
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
b
For x = 53 and s = 4.6
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]
Z = -2.6087
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-2.6087,35,1) =0.0066
Decision: p-value is < significance level; we reject the null hypothesis.
[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]
c)
For x = 56 and s = 5.0
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
Z = 1.2
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(1.2,35,1) = 0.88009
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
what's the opposite of (-8h+2)
Answer:
2-8h
Hope this helped.
PLEASE answer this question
Answer:
85°
Step-by-step explanation:
Just subtract 50 from 135.
135 - 50 = 85
Please help me for brainliest.
A triangle with side lengths of 15, 18, and 25 is a right triangle. True or False
40 people can sit in four cabs. How many people can sit in 19 such cabs? *
Answer:
Step-by-step explanation:
190 ppl
40 ppl per 4 cab
10 ppl per cab
10 times 19 cabs = total of ppl
Mary took a test and
answerd 12 questions
in 30 minutes. At this
rate, how many
questions can she
expect to answer in
150 minutes?
Answer: Mary can expect to answer 60 questions in a 150 minutes
Step-by-step explanation:
150 divided by 30 = 5
5 x 12 = 60
Help pls thank you very much thank veryyy much
Answer:
I think it is A