Using the Empirical Rule, it is found that:
95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.0.16 = 16% probability that a K-cup will have more than .33 ounces.20 of them will weight less than 0.23 ounces.2.5% of K-cups are considered weak.36 will weigh between 0.23 and 0.38 ounces.30 of the Sam's Club box of K-cups are ideal.The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem:
The mean is of 0.28 ounces.The standard deviation is of 0.05 ounces.First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.
0.33 ounces is one standard deviation above the mean.
68% of the measures are between 0.23 and 0.33 ounces.The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:0.16 = 16% probability that a K-cup will have more than .33 ounces.
16% weigh less than 0.23 ounces. Out of 128:
[tex]0.16(128) = 20[/tex]
20 of them will weight less than 0.23 ounces.
5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.
0.23 is one standard deviation below the mean.0.38 is two standard deviations above the mean.Of the 50% below the mean, 68% are above 0.23.Of the 50% above the mean, 95% are below 0.38.Thus, the proportion between 0.23 and 0.38 is:
[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]
Out of 44:
[tex]0.815(44) = 36[/tex]
36 will weigh between 0.23 and 0.38 ounces.
68% are within 1 standard deviation of the mean.
Out of 44:
[tex]0.68(44) = 30[/tex]
30 of the Sam's Club box of K-cups are ideal.
A similar problem is given at https://brainly.com/question/13503878
• A man observes the angle subtended by a pole to be 30'. He walks 10 metres towards its base and finds that it subtends an angle of 45'. Find the height of the pole.
(A) 12.65 m (B) 13.66 m (C) 15 m (D) 14 m
Answer:
13.66m
Step-by-step explanation:
What is the value of the expression (2.75) (5.2)?
Answer:
14.3
Step-by-step explanation:
2.75 * 5.2=14.3
x likes teenager but hates children, x likes running but hates walking, x likes swimming but hates water, x likes trees but hates flowers, x likes jeeps but hates car, x likes beef but hates pork. from the following what does x likes?
Step-by-step explanation:
x likes teenagers, running, swimming , trees , jeeps and beef.
A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 1215 gallons of water to enter the pool, and the drain allows 1523 gallons to leave the pool.
What is the change in the amount of water in the pool after 112 minutes?
Enter your answer as a simplified mixed number by filling in the boxes. FRACTION PROBLEM
Answer:
-34496 gallons = 34496 gallons less
Step-by-step explanation:
In 112 minutes, 1215(112) = 136080 gallons of water is added by the faucet
In 112 minutes, 1523(112) = 170576 gallons of water are drained from the pool.
So, assuming that the pool is not completely drained in the 112 minute time interval, the change in the amount of water = 136080 - 170576 = -34496 gallons; i.e., the amount of water in the pool is 34496 gallons less.
Create a proportion from each set of numbers. Only use 4 numbers from each set.
Step-by-step explanation:
Approach: If four numbers a, b, c and d are in proportion then a:b = c:d. The solution is to sort the four numbers and pair up the first 2 together and the last 2 together and check their ratios this is because, in order for them to be in proportion, the product of means has to be equal to the product of extremes.
What is the slope of the line through (-9,-6) and (3,-9)
Answer:
-1/4
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-6) / 3 - (-9)
-3/12
= -1/4
P g In the figure, lines m and nare parallel to each other. Lines p and q are also parallel to each other. 689 х The value of x is. degrees, and the value of y is degrees.
Answer:
220 i think
Step-by-step explanation:
Pls help ASAP I’ll brainlest
EXPERIMENT
PROBLEM
CONCLUSION
INFERENCE
y < -2x + 1
x + 2y > -4
Answer:
99
Step-by-step explanation:
In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46
Answer:
-96 cents
Step-by-step explanation:
(Conjectured Problem) In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46. That is your expected win?
Expected Win =
(Probability you match the drawn sequence)(Amount won if there is a match) - (Amount you pay) =
(1/10)(1/10)(1/10)(394.46) - 1.35 =
0.39446 - 1.35 =
-0.95554 =
-96 cents, rounded to the nearest cent
Simplify 72y^4/8y^7
72y^4
———
8y^7
Step-by-step explanation:
hi hi hi nice to meet you meet you
2) The management company of a popular, but unstable, rapper is worried about their investment
in his up-coming world tour, so they purchase a 1-year $1 million insurance policy for $137,000.
The probability the rapper will successfully complete the 1-year world tour is 0.87352. What is
the expected value of the policy from the perspective of the management company?
Answer:
137,000
Step-by-step explanation:
its math bro
What are the two cases for 丨4x - 1丨= 19?
Answer:
Step-by-step explanation:
x = 5
Answer:
x=5 and -17/4
Step-by-step explanation:
The two equations for 丨4x - 1丨= 19 is
4x-1=19
and
4x-1=-19
So for 4x-1=19
4x=20
x=5
4x-1=-18
4x=-17
x=17/4
Hope this helps!
5(x + y)2 + (x + y) − 4
Answer:
11x+11y-4
Step-by-step explanation:
Use the monthly payment formula to find the monthly payment for a $1,000, one year
loan at an APR of 7.5%
Step-by-step explanation:
The formula :
[tex]\displaystyle \rm S=A\cdot \left (1+\frac{N}{100} \right )^{\big r}[/tex]
where r is years ; N is the percentage by which we increase the price ; A is the original price
In our case :
[tex]\rm r=1 \ \ ; \ \ A=100 \ \ ; \ \ N=7,5\% \\\\ S=1000\cdot \bigg( 1+\dfrac{7,5}{100} \bigg)^1=1000\cdot 1,075=\boxed{1075\$}[/tex]
Then the monthly salary is equal to:
[tex]\dfrac{1075}{12} \approx 89,58 \$[/tex]
if carl runs 4 laps in 18 minutes, how many laps can he run in 1 1/2 hours
Answer:
20 laps
Step-by-step explanation:
18 divide by 4 = 4.5
so 1 lap equals 4.5 minutes
and 1 and half hours is 90 minutes so 90 divide by 4.5 = 20 laps
what is the total with tax? price? $62.79 tax 9.5 percent
Answer:
$68.76
Step-by-step explanation:
price: $62.79
tax percent: 9.5%
total with tax : $62.79 + 9.5% of $62.79
= $68.755
Clear Plumbing charges a flat fee of $28.50 for a repair trip and $38. 50 per hour for labor. What is the total cost of a repair job that takes 3.5 hours?
Answer:
163.25
Step-by-step explanation:
38.50x3.5= 134.75
134.75+28.50= 163.25
38.5 per hour which explains 38.5x3.5= 134.75
28.50 is a one time fee so you add that to the total of hours 134.75+ 28.50= 163.25 in total.
Find the volume of the composite solid.
Answer:
volume________
7 ft 8 ft 7.5 ft 7 ftPLEASE HELP! I Would appreciate it
On a coordinate plane, how are the locations of the points (-4 , 8) and (-4 , -8) related?
A.
reflection across the y-axis
B.
reflection across the x-axis
C.
reflection across both axes
D.
locations unrelated
Answer:
A. reflection across the y-axiss
Step-by-step explanation:
Given:
The locations of the two points are (-4 , 8) and (-4 , -8).
To find:
The relation between two points.
From the given points (-4, 8) and (-4 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.
If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,
[tex](x,y)[/tex]→[tex](-x,y)[/tex]
For (-4,8)
[tex](-4,8)[/tex]→ [tex](-4,-8)[/tex]
So, it is reflection across the y-axis.
Therefore, the correct option is A.
PLS HELP ME WILL GIVE BRAINLIEST NO LINKS PLZ!!!
Answer:
130
Step-by-step explanation:
sorry if wrong
have a great day
The lines represented by the equations y=-\frac{5}{2}x+7y=− 2 5 x+7 and y-\frac{2}{5}x=-4y− 5 2 x=−4 are
Answer:
bxjfjxucjkkdndjkjhkjjnn
Ms.Taylor buys 8 picture books and 12 marker
Answer: Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.
142.8 is the book price 27 is the marker price added together equal 169.8
Step-by-step explanation:
Answer:
$169.80
Step-by-step explanation:
Ms.Taylor buys 8 picture books and 12 markers from a book store.The price of a book is $17.85 and the price of a marker is $2.25. Calculate the total amount Ms.Taylor spends.
17.85*8=142.8
2.25*12=27
142.8+27=$169.80
What is the advantage of paying your credit card balance in full each month?
You will incur only a small "paid in full" fee on your next credit card statement.
You pay only a small amount of interest.
You have less of your credit limit available, therefore, less temptation to spend.
You avoid paying any interest and fees.
Answer:
Step-by-step explanation:
It's the third one. You avoid paying fees and interest. Smart people keep their credit cards at a zero balance for just that reason. Moral: don't buy what you cannot afford to pay off immediately.
Answer: It's C , "You have less of your credit limit available, therefore, less temptation to spend"
Step-by-step explanation:
solve pls brainliest
(a) 305 (?)
(b) Fields, monroe
(c) Treevale
Which math expression means "the quotient of an unknown number and 18"?
A. x ÷ 18
B. 18 • x
C. x – 18
D. x + 18
Answer:
[tex]option \: b.[/tex][tex]18•x[/tex]
Answer:
Step-by-step explanation:
Can someone help me please
Answer:
a.(x)=7
b.(x)=14
Step-by-step explanation:
plz mark me as brainliest
Answer:
For A x equals 7
For B x equals 14
Explanation:
Simply cross multiply
A. 21×2=42÷6=7
Or find the relationship
B. 150÷6=25
84÷6=14
Hope this helps, mark BRAINLIEST please...
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume
Answer:
3000000cm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
True or false
Quotient x Remainder + Dividend - Divisor