Answer:
The probability that at least 1 car arrives during the call is 0.9306
Step-by-step explanation:
Cars arriving according to Poisson process - 80 Cars per hour
If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67 X ≅ Poisson (λ = 2.67)
Now, we find the probability: P(X≥1)
P(X≥1) = 1 - p(x < 1)
P(X≥1) = 1 - p(x=0)
P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!
P(X≥1) = 1 - e^-2.67
P(X≥1) = 1 - 0.06945
P(X≥1) = 0.93055
P(X≥1) = 0.9306
Thus, the probability that at least 1 car arrives during the call is 0.9306.
You need a 45% alcohol solution. On hand, you have a 175 mL of a 25% alcohol mixture. You also have 70% alcohol mixture. How much of the 70% mixture will you need to add to obtain the desired solution?
175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If v is the amount of the 70% solution that you use, then that amount contains 0.7v mL of alcohol.
Mixing these two yields a total volume of 175 mL + v, and it contains 43.75 mL + 0.7v alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:
(43.75 mL + 0.7v) / (175 mL + v) = 0.45
Solve for v :
43.75 mL + 0.7v = 0.45 (175 mL + v)
43.75 mL + 0.7v = 78.75 mL + 0.45v
0.25v = 35 mL
v = 140 mL
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Answer:
Okie?
Step-by-step explanation:
Daily Snowfall ( in inches ) during January in Syracuse New York
Answer:
d
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Please show your work. Convert decimals into fractions in simplest form
Write each decimal as a fraction in simplest form., And explain how you got your answer
1, :0.5=
2: 0.7=
3.0.33=
4: 0.875= 5.
Mr Ravenhead's car averages 23.75 mile per gallon. Express this amount as a mixed number in simplest form. Explain how you got answer.
Answer:
1. 0.5 = 5/10 ÷ 5 = 1/2
2. 0.7 = 7/10
3. 0.33 = 33/100 ÷ 33 = 1/3
4. 0.875 = (875/1000) ÷ 125 = 7/8
Please help .... I’ll give the brainliest
10z^2 -2z-2
10z
2
−2z−2
Two solutions were found :
z =(2-√-116)/-20=1/-10+i/10√ 29 = -0.1000-0.5385i
z =(2+√-116)/-20=1/-10-i/10√ 29 = -0.1000+0.5385i
Step-by-step explanation:
In the figure below, lines w and z are parallel. What is the value of x
Answer:
U should do like this...
A large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground, 60m away from the flagpole, and the top of the building line up. If the flagpole is 35m tall, and Marquis is 170m from the building, how tall is the building?
Answer:
99.166666666666666666666; 595/6; 99 1/6; 99
Step-by-step explanation:
THE FORMULA IS (x)/(170)=(35)/(60)
solve for x
copy the formula in bold and paste it to math w]y:
(x)/(170)=(35)/(60)
choose the option to solve for x and 99.666666666666∞ is the answer.
What is the most efficient first step to isolate the variable term on one side of this equation?
-9x = 4x + 5
O Subtract 5 from both sides.
O Add 5 to both sides.
X Subtract 9x from both sides.
O Add 4x to both sides.
Done
Intro
Answer: Add 4x to both sides.
Step-by-step explanation:
David and Jillian are playing a board game together. Jillian wants to trade her wool cards for David's ore cards. The double number line shows that David will trade 3 more cards to Jillian for 6 wool cards. Based on the ratio shown in the double number line, how many wool cards does Jillian need to trade for 4 more cards?
nicky bought 3 bags of flamin hot cheetos for a certain amount of money and a can soda for $1.50. all together he paid $5.25. How much did each bag of hot cheetos cost?
Answer:
each bag of hot cheetos cost $1.25
The fastest man in the world can run 100 meters in 9 sec how far can he run in 1 minute and 2 second plz answer am in exaaam
Answer:
689 mStep-by-step explanation:
The speed is:
100 m in 9 secondsTo find:
Distance in 1 minute and 2 secondsDistance = speed * time
Distance is:
100/9 meter /seconds * 1 min and 2 seconds =100/9 m/s *62 s =6200/9 m = 688.88 m ≈ 689 m rounded to the nearest meterA pump removes 1500 gal of water from a pool at a constant rate 40 gal/min. Which equation models the amount of water y in the pool after t minutes?
A. y = 40t + 1500
B. y = -40t - 1500
C. y = 40t - 1500
D. y = -40t + 1500
Determine the output for each input value in the following function.
y=x/2 +1
1,500 divided by 8 step by step
Answer:
1500 divided by 8 = 187.5
Step-by-step explanation:
1,500 divided by 8 is equal to 187, with the remainder of 4.
To divide 1,500 by 8 step by step, we can follow the long division method.
We start by dividing the first digit of the dividend (1) by the divisor (8). Since 1 is smaller than 8, we move to the next digit of the dividend.
We bring down the next digit of the dividend (5) and divide 15 by 8. The quotient is 1, and the remainder is 7.
8 ) 1,500 ( 187R4
- 8
_____
70
- 64
_____
60
- 56
_____
4
Quotient = 187
Remainder = 4
Therefore, 1,500 divided by 8 is equal to 187, with the remainder of 4.
To learn more about the division operation click here :
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A set of tyres normally costs £500
In a sale there is a 30% discount.
Work out the sale price of the set of tyres.
Answer:
the tires cost 350 with the discount
Step-by-step explanation:
Find the length of the leg x Enter the exact value, not a decimal approximation
Answer:
[tex] x = \sqrt{189} [/tex]
Step-by-step explanation:
Use pythagorean theorem to solve for x.
Thus:
[tex] a^2 + b^2 = c^2 [/tex]
Where,
a = 6
b = x = ?
c = 15
Plug in the values into the equation
[tex] 6^2 + x^2 = 15^2 [/tex]
[tex] 36 + x^2 = 225 [/tex]
Subtract 36 from each side
[tex] x^2 = 225 - 36 [/tex]
[tex] x^2 = 189 [/tex]
Take the square root of both sides
[tex] x = \sqrt{189} [/tex]
What is the intermediate step in the form (x + a)2 = b as a result of
completing the square for the following equation?
-3x2 - 36x = 300
Answer:
we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex] in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].
Step-by-step explanation:
Given the equation
[tex]-3x^2-36x=300[/tex]
First of all, we need to divide both sides by -3 to simplify it
i.e.
[tex]\frac{-3x^2-36x}{-3}=\frac{300}{-3}[/tex]
[tex]x^2+12x=-100[/tex]
In order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex], we need to add a²=6² to both sides
[tex]x^2+12x+6^2=-100+6^2[/tex]
so
[tex]\left(x+6\right)^2=-64[/tex]
Therefore, we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex] in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].
roy wants to buy a new television for $300.
Answer:
Thats it?
Step-by-step explanation:
Answer:
No answer...
Step-by-step explanation:
Ok so roy has 300$ and nothing else?
Two lines are parallel, but are not the same line. Which of the following is not true of the lines? A. The slopes are the same. B. The lines have no points in common. C. The y-intercepts are not the same. D. The lines must have a positive slope. Please select the best answer from the choices provided A B C D
Answer:
D
Step-by-step explanation:
Parallel lines must have the same slope. They could have points in common. If the y-intercepts were the same, taking into consideration the fact that the slopes have to be the same, it would be the same line and as the question directs, they are not. Parallel lines can have negative slope, as long as their slopes are equal.
PLEASE HELP
Which equation represents a function that is nonlinear?
y = 5x
y = 37
y = x*2 - 25
y = 2/3x + 67
Calculator
(4y + 10°
What is the value of y?
Enter your answer in the box.
75°
(3x)
B
с
y =
The answer is 5, if you still need it.
Answer: 5
Step-by-step explanation:
took the test
A local artist painted a copy of cezannes painting. it measures 88 in. ×74in. is the copy similar to the original? explain
Answer:
ch coale punoo cancents la de oor qqui soor
Step-by-step explanation:
A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy. Jina wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the first candy selected is caramel and the second candy is taffy? Do not round your intermediate computations. Round your final answer to three decimal places.
11/18 = 0.61111111 (continuing)
3/18 = 0.166666 (continuing)
4/18 = 0.222222(continuing)
caramel = 0.2222222 x taffy = 0.6111111111
probability = 0.1358024691358, 0.136.
13.6%
The probability that the first candy selected is caramel and the second candy is taffy is 0.175
What is probability?Probablity is the likelihood or chance that an event will occur.
Probability = expected/total
If a box has 18 candies in it, the total outcome will be 18
If the probability that the first candy selected is caramel is 4/18
If the probability that the second candy selected is randy is 11/18
Pr(caramel and randy) = 4/18 * 11/18
Pr(caramel and randy) = 2/9* 11/18
Pr(caramel and randy) = 11/63
Hence the probability that the first candy selected is caramel and the second candy is taffy is 0.175
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A husband works for 6 straight days and then has a day off. His wife works for 5 straight days and then has a day off. If the husband and wife are both off from work on the same day, in how many days will they both be off from work again?
Answer:
6?
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
can anyone help out with this?
9514 1404 393
Answer:
(x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)
Step-by-step explanation:
Each figure consists of two small squares and a square that has a side length of 1 more than the figure number. That is, ...
f(x) = (x +1)^2 +2
You can count the squares in figures 1-3. Figure 4 will be 2 more squares than 5^2 = 25, so will be 27 squares.
(x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)
Which expression is equivalent to (4 + 6i)2? –20 + 48i 8 + 12i 16 – 36i 20 + 48i
========================================
Work Shown:
x = (4+6i)^2
x = (4+6i)(4+6i)
x = y(4+6i) ...... let y = 4+6i
x = 4(y)+6i(y) ..... distribute
x = 4(4+6i)+6i(4+6i) .... plug in y = 4+6i
x = 16+24i+24i+36i^2 ..... distribute again
x = 16+24i+24i+36(-1) .... use the fact that i^2 = -1
x = 16+24i+24i-36
x = 16-36+24i+24i
x = -20+48i
Answer:
A -20+28i
Step-by-step explanation:
Write equation of line that goes through
pt (7,10) and has a slope of -5/3
Answer:
in point slope form the answer is y-10 = -5/3x + 35/3
in slope intercept form the answer is y = -5/3x + 21 2/3
not sure which form you need to answer in
(x+5)(3x+2)
Area as a sum is what i need
Answer: 3x^2 + 7x + 10
Step-by-step explanation:
what is the formula to find principal
Answer:
We can rearrange the interest formula