1. Are the two triangles shown below congruent? Use tracing paper to justify your answer.
Gary’s cat weighs 11 pounds. How many ounces is Gary’s cat?
Answer:
176 ounces :)
Step-by-step explanation:
The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of four per hour. (a) What is the probability that exactly three arrivals occur during a particular hour? (Round your answer to three decimal places.) (b) What is the probability that at least three people arrive during a particular hour? (Round your answer to three decimal places.) (c) How many people do you expect to arrive during a 30-min period?people
Answer:
a) 0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.
b) 0.762 = 76.2% probability that at least three people arrive during a particular hour
c) 2 people.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Poisson process with a rate parameter of four per hour.
This means that [tex]\mu = 4[/tex].
(a) What is the probability that exactly three arrivals occur during a particular hour?
This is P(X = 3). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 3) = \frac{e^{-4}*4^{3}}{(3)!} = 0.195[/tex]
0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.
(b) What is the probability that at least three people arrive during a particular hour?
Either less than three people arrive during a particular hour, or at least three does. The sum of the probabilities of these outcomes is 1. So
[tex]P(X < 3) + P(X \geq 3) = 1[/tex]
We want [tex]P(X \geq 3) = 1 - P(X < 3)[/tex], in which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.018[/tex]
[tex]P(X = 1) = \frac{e^{-4}*4^{1}}{(1)!} = 0.073[/tex]
[tex]P(X = 2) = \frac{e^{-4}*4^{2}}{(2)!} = 0.147[/tex]
So
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.018 + 0.073 + 0.147 = 0.238[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.238 = 0.762[/tex]
0.762 = 76.2% probability that at least three people arrive during a particular hour.
c) How many people do you expect to arrive during a 30-min period?
One hour, 4 people
Half an hour = 30 min = 4/2 = 2 people.
CH 7 Forces: pages 294 & 296
Calculate net forces. Draw an arrow to show direction. SC.6.P.13.3
Drag an arrow
to complete
your answer.
combined Forces
Net Force
Click to type
30 N
70 N
30 N
40 N
Click to type
60 N
60 N
Click to type
18 N 12 N
30N
awnser 1.100
awnser 2.-10
awnser 3.0
awnser 4.0
Mountain Temperatures
Answer:?
Step-by-step explanation: 10-20 degrees
1 Which triangle appears to be an obtuse
triangle?
C
B
D
Answer:D you can tell it’s much wider and it’s not at a 90 degree or less
Step-by-step explanation:
If a card is drawn from an ordinary deck of cards, and then a second card is drawn from the same deck
without replacing the first card, these two events are
Answer:
event horizon
Step-by-step explanation:
The sum of the page numbers on the
facing pages of a book is 437. What are the page numbers?
Find the solutions to the equation below.
Check all that apply.
9x^2 - 81 = 0
A. X=-81
B. x= 9 C.
x= 3
D. x= -3
E. X=-9
F.x=1
Step-by-step explanation:
Use the quadratic formula to find the solutions.
−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=9a=9, b=0b=0, and c=−81c=-81 into the quadratic formula and solve for xx.
x=±3x=±3
The final answer is the combination of both solutions.
x=3,−3x=3,-3
¿Cómo puedes escribir una ecuación de valor absoluto
para que el vértice esté en (-5, -7)?
Answer:
y = |x+5|-7
Step-by-step explanation:
y = |x| is the parent function with vertex (0,0) so to get to (-5,-7) you need to move left 5 and move down 7
1.21 repeating as a fraction
Answer:
x = 40/ 33
40 ÷ 33 = 1.21 (21 repeating)
The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]
Calculation of the fraction:since the decimal number is 1.21
So, here if we divide the 40 by 33 so it comes 1.21
Therefore, we can conclude that The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]
Learn more about fraction here: https://brainly.com/question/12405736
Can someone help me please ?
Answer:
1 ==> C
2 ==> A
3 ==> B
hope this helps! lmk if you have any questions about my answer
n a box of 12 tape measures, there is one that does not work. Employees take a tape measure as needed. The tape measures are not returned, once taken. You are the 8th employee to take a tape measure. Is this a binomial experiment?
a. Yes, the probability of success is one out of 12 with 8 selected.
b. No, the probability of getting the broken tape measure changes as there is no replacement.
c. Yes, you are finding the probability of exactly 5 not being broken.
d. No, binomial does not include systematic selection such as "eighth".
Answer:
b. No, the probability of getting the broken tape measure changes as there is no replacement.
Step-by-step explanation:
For each tape measure, there are only two possible outcomes. Either it is broken, or it is not, which means that the first condition for the binomial distribution is respected.
However, the tapes are not returned to the box, which means that in each trial, the probabilities of getting the tape with defect changes, which means that the binomial distribution cannot be used. So option b is the correct answer
A milkshake recipe calls for 1/3 cup of milk for each milkshake if the server has 15/8 cups of milk what is the maximum number of milkshakes the server can make following the recipe .
Answer:
5
Step-by-step explanation:
Q is asking how many (1/3)s are in (15/8):
(15/8) / (1/3)
(to divide fractions, flip the second fraction over and then multiply)
(15/8) * (3/1)
(15 * 3) / (8*1)
45/8
=5.625
Jim’s soccer team has a record of 12 wins and 8 losses. Which team below has the same rate of wins and losses?
Answer:
a volleyball team with 9 wins and 6 losses
Step-by-step explanation:
Jim’s soccer team has a record of 12 wins and 8 losses.Hence when divded
the answer is 1.5 or the same as 3/2 .Hence all we need need to do is find the
answer that is the same as 1.5.
Hence the answer is B a volleyball team with 9 and 6 losses.I know it's right because whenever 9 and 6 divdied they make 1.5.hence this answer is right
please help me with his it needs to be in a fraction form
juan has 12 pencils. two-thirds of these pencils are sharpned which model represents the number of sharpend pencils juan has?
Answer:
8
Step-by-step explanation:
Answer: Do you have a picture?
PLEASE HURRY!!!! 20 POINTS simplify the following expression by combining like terms: 4x + 16y - x + 3y
Answer:
3x + 19y is the answer
whats 3(x-8)=7(x+1) as an improper fraction in its simplest form?
Answer:
x = -31 /4
Step-by-step explanation:
3x - 24 = 7x + 7
-24 = 4x + 7
-31 = 4x
x = -31/4
Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP
Answer:
it's just 8/20 so shade 8/20 of the circle
38 is what percent of 84 (to the nearest percent)?
Answer:
45.24
Step-by-step explanation:
Percentage Calculator: 38 is what percent of 84? = 45.24.
Answer:
45%
Step-by-step explanation:
84÷100=0.84
38÷0.84=45.24 rounded that is 45%
is this correct? help please
Answer:
yes
Step-by-step explanation:
y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.
Share 200 in the ratio 3:1:4
(will give brainliest)
Answer:
75:25:100
Step-by-step explanation:
step 1= 3+1+4=8
step 2= 200/8=25
step 3= 25 x 3=75
25 x 1= 25
25 x 4=100
2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned $12,445. He also earned $56,002
working for CCD Communications. Each employer took out 6.2% for Social Security. How much did Robert pay in Social Security?
Answer:
Robert paid $4,603.6 in Social Security.
Step-by-step explanation:
Robert total earnings:
$5,805 at Young's Grocery.
$12,445 at A&B Restaurant.
$56,002 at CCD Communications.
So his total earnings are of:
5805 + 12445 + 56002 = $74,252
How much did Robert pay in Social Security?
6.2%, that is, 0.062 of $74,252. So
0.062*74252 = $4,603.6
Sarah bought 4 2/3 pounds of peaches and 2 1/6 pounds of apples. How many more pounds of peaches did she buy than apples?
A store sells comic books. Each comic book costs the same amount. During a sale, the store reduces the price of each comic book by 1.45. Miguel
spends $12.88 on 2 comic books at the sale price.
What was the price of I comic bbok before the sale? Enter the answer in the box.
Answer:
$7.89
Step-by-step explanation:
Given that Miguel spends $12.88 on 2 comic books then the amount spent on 1 book given that the prices of the books are equal will be
= $12.88/2
= $6.44
Given that the store reduced the price of each comic book by $1.45 then the price P of 1 comic book before the sale
P = $6.44 + $1.45
= $7.89
The cost of 1 comic book before the sale ( which is before the reduction in price) is $7.89
A basketball player has a 0.6 probability of making a free throw. What is his probability of making two consecutive free throws. Remember free throws are independent of each other. Show work and solve.
Answer:0.36
Step-by-step explanation:
Given
Probability of a free throw =0.6
It is given that the two throws are independent of each other
So, the Probability of making two consecutive throws
[tex]P=\text{Probability of first throw}\times \text{Probability of second throw}\\P=0.6\times 0.6=0.36[/tex]
what’s the answer for this question?
PLEASE HELP WILL GIVE BRAINLIEST
travelling to France, a plane encounters a tailwind and averages 282 mph. however, on the return trip the plane, now travelling against the same wind averages 222 mph. find the speed of the wind of the plane in no wind
Answer:
.
Step-by-step explanation:
order these number (smallest to largest)
35.6 0.356 35.63 3.65 356.06 356.6
Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6
Step-by-step explanation: