Answer:
Step-by-step explanation:
boy count is 1476
Explanation:
There is an important difference between the way counts are viewed in ratio to that in fractions.
The ratio of boys : girls
→
4
:
5
so you have 4 boys and 5 girls making the whole count
4
+
5
=
9
in its simplest form.
So to change the ratio proportion into fraction proportion we have:
boys
→
4
9
of the whole.
girls
→
5
9
of the whole.
It is given that the whole is 3321 therefore the count of boys is:
4
9
×
3321
=
1476
vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 80 per hour, and this rate is Poisson-distributed. Determine the following: a. The percentage of time the machine is busy b. The average number of customers waiting in line c. The average time customers spend in the system d. The average number in the system
Answer:
0.667 ;
0.667 customers ;
0.0166708 hour ;
1.334 customers
Step-by-step explanation:
Given that:
Service time (μ) = 30 seconds ; 2 customers per minute ; 2 * 60 = 120 customers per hour
Arrival time, λ = 80 customers per hour
a.) percentage of time machine is busy (p) ; Utilization factor :
P = λ/ μ = 80 / 120 = 0.667
b.) average number of customers waiting in line Li = p² / 2(1-p)
= 0.667² / 2(1-0.667) = 0.667 customers
c) Average time customer spend in the system = Li/λ + 1/μ
= (0.667 / 80) + (1 / 120)
0.0083375 + 0.0083333
= 0.0166708 hour
= 0.0166708 * 60 = 1.00025 minutes
D) average number in the system ;
Li + p
= 0.667 + 0.667 = 1.334 customers
best answer gets brainliest
find the geometric of 5,8,9,12,15
Answer:
mom this u?
Step-by-step explanation:
Instant brainliest please answer.
Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:
2 1 2 4 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1
2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 1 2 3
Required:
a. Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch.
b. What proportion of batches in the sample have at most six nonconforming transducers?
c. What proportion have fewer than six? (Enter your answer to three decimal places.)
d. What proportion have at least six nonconforming units?
Answer:
Kindly check explanation
Step-by-step explanation:
X ___ Frequency ___ relative Frequency %
0_____7 ________11.67
1_____12________20.00
2____ 13 ________21.67
3____ 14 ________23.33
4 ____6 ________10.00
5____ 3 _________5.00
6 ____3 _________5.00
7_____1 _________1.67
8 ____ 1 _________1.67
B.)
(x = 0) + (x = 1) + (x = 2) + (x = 3) + (x = 4) + (x = 5) + (x = 6)
(11.67 + 20.00 + 21.67 + 23.33 + 10.00 + 5.00 + 5.00) = 96.67% = 0.967 (3 decimal places)
C.)
(x = 0) + (x = 1) + (x = 2) + (x = 3) + (x = 4) + (x = 5)
(11.67 + 20.00 + 21.67 + 23.33 + 10.00 + 5.00) = 91.67% = 0.917 (3 decimal places)
D.)
(x = 6) + (x = 7) + (x = 8)
(5.00 + 1.67 + 1.67)% = 8.34% = 0.0834
pls help 100 points helphelp
Answer:
Some kind of evadence
Step-by-step explanation:
Answer:
Im pretty sure it would be C.
Step-by-step explanation:
Sine a signature, photograph and quotes are all pieces of evidence, you can rule them out and infer that c would be the most reliable answer.
The cost, in dollars, to produce x vats of ice cream is C ( x ) = 4 x + 4 . When selling them to ice cream shops, the price-demand function, in dollars per vat, is p ( x ) = 88 − 3 x. Find the profit function p(x). How many vats of ice cream need to be sold to maximize the profit? Find the maximum profit. Find the price to charge per vat to maximize profit
Answer:
92-7x
Step-by-step explanation:
88-3x-4x+4=92-7x
5x-7y=58
Y=-x+2
X=
Y=
Answer:
Since, Y = x + 2
so, 5x-7y = 58
5x-7×x+2 = 58
5x-7x = 58
-2x = 58
x = 58÷2
x = 29
Simplify to create an equivalent expression.
2(−2−4p)+2(−2p−1)
Choose 1 answer:
(Choice A)
A
-12p-6
(Choice B)
B
-10p-6
(Choice C)
C
-12p+6
(Choice D)
D
12p-6
Answer:
choice A
Step-by-step explanation:
-8p-4p - 4 - 2
= -12p-6
Joe and Jacob are selling pies for a fundraiser. Customers can buy blueberry pies and
apple pies, Joe sold 4 blueberry pies and 7 apple pies for a total of $123. Jacob sold 4
blueberry pies and 2 apple pies for a total of $58. What is the cost of one blueberry pie
and one apple pie.
Answer:
1234567891011121314151617181920
no entiendo en español menos en ingles
For the function y = -x2 – 2, how can you find the value of y when x = 3?
Answer:
y=-3x2-2
y=-8
I think it.
Answer: D- Square 3, multiply the result by -1, and then subtract 2. b r a I n l I e s t plzz
Ok so look at the image i need help thanks hUrry please :D I GIVE BRAINLIEST IS CORRECTO
Answer:
The answer is 11.99 in gallons
47.96 in pints
Step-by-step explanation:
Hope this helps
Which equation represents the vertical line passing through (5,-4)?
x = -4
y = -4
x = 5
y = 5
pick one
Answer:
Y = -4
Step-by-step explanation:
Given:
Points (5, -4)
Computation:
We know that vertical line means Y axis
On Y axis x always zero
So,
Y = -4
Three yellow balls, two red balls and five orange balls are placed in a bag. Mark draws a ball out, and replaces it. He then picks another ball.
What is the probability that he gets at least one yellow ball?
Answer:
45
Step-by-step explanation:
because of me and I can send you a picture when
Gabrielle is 9 years younger than Mikhail. The sum of their ages is 35. What is Mikhail’ age?
Answer:
Mikhail = 22
Step-by-step explanation:
Mikhail = x
Gabrielle = x-9
x+x-9=35
2x=35+9
2x=44
x=22
guys i really need help I'm so lost
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.
=16-9-2
=5
That's it , Very easy
4x - y = 3
ax + 10y = 6
Solve for y
Answer:
Step-by-step explanation:
First Question: 4x-y=3
Second Question: ax+10y=6
First Answer: y=3-4x
Step 1: Property of Inequality!
4x-y=3 = (4x-4x) - y=(3-4x)
Step 2: Solve!
4x-4x=0 which leaves us with y=3-4x
Second Answer: y=6/10
Step 1: Property of Inequality!
ax+10y=6 = (ax-ax) + 10y= (6-ax)
Step 2: Solve!
10y=6 which leaves us with y=6/10
Three angles in a triangle measure x°, (4x+12)° and (3x+16)°. What is the measure of the largest angle in this triangle?
Answer:
Step-by-step explanation:
90°
graph a line with a slope of 4 that contains the point (3,0).
Answer:
The graph at the bottom of the page is what it would look like.
*Note: I made the graph using desmos
Answer:
(3,0) and (4,4)
Step-by-step explanation:
what is the area of this parralelogram? h=4 inch b=7 inch
Answer:
28cm^2
Step-by-step explanation:
4 x 7
Answer:
no sé nada de inglés we ya me entiendes si supiera te ayudará pero eso está difícil busca por internet
1. Is a triangle with side lengths 6, 4, 3 a right triangle? Why or why
not?
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = 6 , then 6² = 36
4² + 3² = 16 + 9 = 25
Since 4² + 3² ≠ 6² then triangle is not right.
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis. A. : p0.2 : p0.2 B. : p0.2 : p0.2 C. : p0.2 : p0.2 D. : p0.2 : p0.2 E. : p0.2 : p0.2 F. : p0.2 : p0.2 The test statistic is z nothing. (Round to four decimal places as needed.) The P-value is nothing. (Round to four decimal places as needed.) Because the P-value is ▼ greater than less than the significance level, ▼ fail to reject reject the null hypothesis. There is ▼ insufficient sufficient evidence support the claim that less than 20% of the pumps are inaccurate.
Complete question :
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1294 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5705 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
Answer:
H0: p=0.2
H1: p<0.2 ;
- 3.16 ;
0.0008 ;
p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
Step-by-step explanation:
The null hypothesis ; H0 : p = 20%
Alternative ; H1 : p < 20%
Sample size, n = 1294 + 5705 = 6999
p = inaccurate / total
p = 1294 / 6999 = 0.1849
The test statistic (Z) :
(P - P0) ÷ sqrt((P0(1 - P0)) /n)
P0 = 0.2
(0.1849 - 0.2) ÷ sqrt((0.2 * 0.8)/6999))
−0.0151 ÷ 0.0047812
= - 3.1582029
= - 3.16
Pvalue : using the Pvalue from Zstatistic calculator at α = 0.01
P value = 0.000789
P value = 0.0008 (4 decimal places).
Since p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and mound-shaped to justify using the 68-95-99.7 rule. Suppose the distribution of calories in a Chipotle meal can be considered symmetric and mound-shaped with mean 1060 calories and standard deviation 291 calories.
Required:
a. What is the approximate percentage of the Chipotle meals that have more than 469 calories?
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?
Answer:
97.9% ; 12.4% ; 771
Step-by-step explanation:
The approximate percentage who have more Than 469 calories :
P(x > 469)
Mean, m = 1060
Standard deviation, s = 291
Z = (x - mean) / standard deviation
Z = (469 - 1060) / 291
Z = −2.030927
P(Z > - 2.031) = 1 - P(Z < - 2.031)
P(Z > - 2.031) = 1 - 0.0211
P(Z > - 2.031) = 0.9788 = 97.9%
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
[(1673 - 1060) / 291] - [(1372 - 1060) / 291]
P(Z <2.106) - P(Z < 1.072)
0.9824 - 0.85814
= 0.12426 = 12.4%
c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal
The Zscore at 16 percentile = -0.994
Zscore = (score - mean) / standard deviation
-0.994 * 291 = score - 1060
−289.254 = score - 1060
Score = −289.254 + 1060
Score = 770.746
Approximately 771
What are three fractions that are equivalent to 1.
5. David Read's the problem:
Ally bought a T-shirt and a pair of shorts on sale which
reduced prices by 1/4. The total savings on the 2
garments was $10.25. Find the original price for the
pair of shorts.
David says that the original price of the shorts was $41.
Does his answer seem reasonable? Defend your
answer by writing and solving an equation that
represents the situation.
Answer:
No, David's answer does not seem reasonable.
Let x= original purchase amount
25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.
If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.
Step-by-step explanation:
Which line is the graph of y = -2 x + 2?
Step-by-step explanation:
Does this graph help?
A percentage is another way to write a _________________.
Answer: fraction
Step-by-step explanation:
Answer:
Decimal
Step-by-step explanation:
For example, 10% can also be .10.
You just move the decimal two places to the right or left depending on which one you want.
Katniss and Peeta find the sum of their ages which is 50 years. Peeta is five years older than Katniss. What are their ages?
Answer:
peeta is 30 and kat is 20 i think
Step-by-step explanation:
I need help answering this please
Answer:
DF = 20.4
Step-by-step explanation:
The figure given is a kite.
A kite has two set of opposite sides that are congruent. And the diagonals bisect each other. Thus,
∆DEH is congruent to ∆FEH, therefore, DH = HF
Use pythagorean theorem to find DH:
DH² = DE² - EH²
DH² = 15² - 11²
DH² = 104
DH = √104
DH = 10.2 (nearest tenth)
DF = 2(DH)
DF = 2(10.2)
DF = 20.4
colin did the work to see if 10 is a solution to the equatio
