Answer:
Yes, the events are mutually exclusive.
Step-by-step explanation:
Mutually exclusive events are events that can not occur at the same time.
For example: Turning left and turning right at the same time is not possible so the event is Mutually Exclusive.
Now consider the given information.
Randomly select a customer that is a frequent shopper at our store and randomly select a customer who does not know the store's location are mutually exclusive.
Because the customer either knows the location or not.
Yes, the events are mutually exclusive.
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Mensa is an international society that has one and only one qualification for membership: a score in the top 2% on an IQ test. a. What IQ score should one have in order to be eligible for Mensa
Answer:
130.81
Step-by-step explanation:
We solve this question using z score formula
z = (x-μ)/σ,
where from the question:
x is the raw score = ?
μ is the population mean = 100
σ is the population standard deviation = 15
We are told in the question that:
Mensa is an international society that has one and only one qualification for membership: a score in the top 2% on an IQ test.
The top 2% means a score in the 98th percentile
The z score of the 98th percentile = 2.054
Hence:
2.054 = x - 100/15
Cross Multiply
2.054 × 15 = x - 100
30.81 = x - 100
x = 30.81 + 100
x = 130.81
The IQ score that one should have in order to be eligible for Mensa is the score of 130.81
Express each ratio as a fraction. Write your answ
1) 3 hens to 18 chicks
Expression
a. The sum of 24 and 12
divided by 2
Answer:
18
Step-by-step explanation:
The sum of 24 and 12
divided by 2. means
24 + 12 / 2
36/2
=18
If Janet maintains the same driving rate can she drive more than 600 miles in 10 hours?Explain
A company sells, amongst other products, a medicated shampoo. The shampoo is sold in container sizes that are labeled as containing 500 ml. The volume of liquid that is actually put into the containers is normally distributed with a mean of 510 ml and a standard deviation of 10 ml.
(a) Estimate the probability that a container chosen at random will hold
(i) more than 520 ml
(ii) between 495 ml and 515 ml
(iii) less than the advertised amount
Answer:
between (ii)
Step-by-step explanation:
Find the value of x so that the ratios 9 : x and 15 : 40 are equivalent.
Answer:
x = 24
Step-by-step explanation:
x/9 = 40/15
x/9 = 8/3
x/9 = 24/9
x = 24
What is the value of y
O 12
O 1/3
O 6
O 2
SOMEONE PLEASE PLEASE HELP!!!!!
Answer:
1800
Step-by-step explanation:
A snail crawls 9 millimeters per second. How many centimeters can it crawl in 50 seconds?
Answer:
450 millimeters
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
what is the slope of the line graphed below
Answer:
-1/2
Step-by-step explanation:
Slope = rise/run
rise = -1
run = 2
Therefore, the slope = -1/2
Andrea's dad ran 12 miles and 75 minutes on a treadmill if he runs at that rate how far could he run in 30 minutes
Answer: 187.5
Step-by-step explanation: Divide 75 by 12 to get 6.25 then multiply that by 30 to get 187.5.
The ratio of 6:5 can be expressed as
Answer:
the ratio of 6:5 can be expressed as 6/5
Christopher wants to estimate the mean amount of carbon dioxide that is emitted by burning 1\text{ L}1 L1, start text, space, L, end text of a new type of gasoline. He plans on burning 1\text{ L}1 L1, start text, space, L, end text at a time and measuring the resulting emissions. He'll repeat this process for a sample of nnn attempts and construct a confidence interval for the mean. He wants the margin of error to be no more than 202020 grams at a 90\%90%90, percent level of confidence. Preliminary data suggests that \sigma=50σ=50sigma, equals, 50 grams is a reasonable estimate for the standard deviation of the emissions from burning 1\text{ L}1 L1, start text, space, L, end text of this type of gasoline. Which of these is the smallest approximate sample size required to obtain the desired margin of error?
Answer:
The smallest sample size required to obtain the desired margin of error is of 17.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Which of these is the smallest approximate sample size required to obtain the desired margin of error?
The desired margin of error is 20, so [tex]M = 20[/tex]
We have that [tex]\sigma = 50[/tex].
The smallest sample size is n. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]20 = 1.645*\frac{50}{\sqrt{n}}[/tex]
[tex]20\sqrt{n} = 50*1.645[/tex]
[tex]\sqrt{n} = \frac{50*1.645}{20}[/tex]
[tex](\sqrt{n})^2 = (\frac{50*1.645}{20})^2[/tex]
[tex]n = 16.9[/tex]
Rounding up
The smallest sample size required to obtain the desired margin of error is of 17.
I'm Jeff Bezos. AMA (ask me anything)
Answer:
CAN I GET AMAZON GIFT CARD AND SOME MULLA THANKS LOVE YOU SUGAR ZZZADDY
Step-by-step explanation:
I need these answered pls
Answer:
what exactly do we do here?
Step-by-step explanation:
if we are telling which ones are functions then it would be all of them except for 2, 5, and 6. the rest are functions. please comment if i got or attempted to get this correct.... sorry...
Find the missing angle to the nearest degree.
19
32
degrees
Answer:
Step-by-step explanation: i think that it would be 32 degrees but im not quit shur
need help with the slope
Answer:
for sure it's a negative since the slop is going down.. other than that, that's all I can help you with since I'm barely learning about that too :)
Which expression is equivalent to +7?
Which expression is equivalent to 5/6 divide to 7
Answer:
(5/6)/7!
5/(6*7!)=5/(6*7*6*5*4*3*2*1)=1/(6*7*6*4*3*2*1)=1/6048=0.0001653439
Step-by-step explanation:
The answer is 5/6x1/7
Solve the equation. 3(n - 7) =
-30
A -3
B 3
C -9
D 23
Answer:
n = -3
Step-by-step explanation:
3(n - 7) = -30
3n - 21 = -30
3n = -9
n = -3
the first quartile of a data set is 33, and the third quartile is 53. which value in the data set is an outlier
Answer:
84
Step-by-step explanation:
53-33=20
53+1.5(20)=83 so anything above 83 is ur answer
Mr.perkins has $120 in a savings account .the interest rate is 5% per year and it is not compounded how much will he have in 2 years
Answer:
The answer is $132
Step-by-step explanation:
120+ (5% of 120) (2)
120+(6)(2)
120+12
=132
Consider the series 7/9+7/27+7/81+7/243
Answer:
=1 37/243
Step-by-step explanation:
the series is that the numerator is all 7
srry if its wrong i dont rlly understand what its asking
Answer:
= 1.1522....
Step-by-step explanation:
7/9 +7/27 +7/81 + 7/243
189 + 63 + 1,701 + 567
243. 19,683
= 252 + 2,268
243. 19,683
= 4,960,116 + 551,124
4,782,969
= 5,511,240
4,782,969
= 1.15
Find the y-intercept. 4) 4x + 3y=-3 A) -3 B) 3 C) -5/2 D) -2/5
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex]4x + 3y=-3[/tex]
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
Thus,
substituting x = 0 in the equation
[tex]4x + 3y=-3[/tex]
[tex]4(0) + 3y = -3[/tex]
[tex]0+3y = -3[/tex]
[tex]3y = -3[/tex]
divide both sides by 3
[tex]\frac{3y}{3}=\frac{-3}{3}[/tex]
Simplify
[tex]y = -1[/tex]
Therefore, the y-intercept is: -1
Note: it seems that you did not add the right option to chose.
His income is 7x +6 everyday. What is his total income in x days?
Answer:
20
Step-by-step explanation:
7x+6=7 (2)+6=14+6=20
(let me know if it's wrong)
The table shows the amounts y (in tons) of waste left in a landfill after x months of waste relocation. Use the table to complete the statements.
x 0 3 6
y 24 18 12
It takes Response_________ months to empty the landfill.
Answer: it would take 1 year
Step-by-step explanation: scince it took 1/2 a year to get rid of half the waste it would take another 1/2 a year to get rid of the rest to it would take 1 year to get rid of all of the waste
What’s the answer to this? 4x-4=4x is it infinitive solution?
Answer:
16 ?
Step-by-step explanation:
Answer: There are no values of
x that make the equation true.
No solution
Step-by-step explanation:
2.John is playing a video game in which he needs to catch balls. He earns 20 points for each of the first 25 balls that
he catches and 112 times the regular score for every additional ball that he catches. How many points does he earn for
catching 30 balls?
F. 507.5
G. 545
H. 600
J. 650
K. 900
Answer:
F
Step-by-step explanation:
Because I did the math.
A wheel assembly is
made from 2 wheels,
each weighing 2.6
pounds, and a steel
axle, which weighs
1.8 pounds. What is
the total weight of
the assembly?
Answer:
The total weight of the assembly is 7 pounds.
Step-by-step explanation:
The total weight of the assembry is found by the sum of the weights of each components.
We have:
2 wheels, each weighing 2.6 pounds, so 2*2.6 = 5.2 pounds
An axle, which weighs 1.8 pounds, so 5.2+1.8 = 7 pounds
The total weight of the assembly is 7 pounds.
2/3 divided by 1/7? 7/4 divided by 3/2? I NEED THIS IMMEDIATELY PLS!!
Answer:
1. 14/3
2. 7/6
Step-by-step explanation:
hope that helped you!
In how many ways can the letters of
the word "COMPUTER" be arranged so that
i) all vowels are
always together?
ii) the relative positions of the vowels and
consonants are not changed?
Step-by-step explanation:
The vowels in the word "COMPUTER"
are O, U and E.
Part (i):
Number of ways = 5! * (6 * 3!) = 4,320 ways.
Part (ii):
Number of ways = 5! * 3! = 720 ways.