Answer:
3
Step-by-step explanation:
2 plus 1 is 3
An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.
Answer:
a) The probability tree is constructed below
b) the probability that at least two women will be selected is 0.500
Step-by-step explanation:
Given the data in the question;
a) The probability tree is as follows;
3 men, 3 women
↓
_______________________|________________________
↓ ↓ ↓ ↓
3 men 2 men 1 man 0 men
0 women 1 woman 2 woman 3 women
b) the probability that at least two women will be selected
p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3
so
p( at least two women would be selected) = C
³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃
= 3!/(2!(3-2)!) × 3!/(1!(3-1)!) / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)
= 3 × 3 / 20 + 1 × 1 / 20
= 9/20 + 1/20
= 0.45 + 0.05
p( at least two women would be selected) = 0.500
Therefore, the probability that at least two women will be selected is 0.500
There are 1/6 gallons of water in a 2/3 gallon container. What fraction of the container is filled?
Answer:
1/4
Step-by-step explanation:
2/3 multiply top and bottom of fraction by 2
4/6 is the capacity of the container
1/6 is filled
so 1/4 of the container is filled
Answer:
1/4
Step-by-step explanation:
it takes 2/6 per each 1/3 of a gallon there for there would be 4/6 in 2/3
what is 5/6 - 3/8 plz help
Find the missing sides to the triangle seen below.
Answer:
95
Step-by-step explanation:
you got to eat it and then division then multiple
Answer:
95
Step-by-step explanation:
Which table represents a linear function?
Х
1
2
3
4
y
--2
-6
-2
-6
Х
1
2
3
4
у
-2.
-5
-9
-14
Х
1
2
3
4
y
-2
-10
-18
-26
Х
1
2
у
|--2
-4
O
Answer:
The last table is the answer
Step-by-step explanation:
The last table has a constant slope of -3, hence it represents a linear function.
Table of functionsFrom the given table, we need to determine which of the table is a linear table.
To determine that, we must check which of the table has a constant rate of changeLooking at the last table;
Slope = -4-(-2)/2-1
Slope = -4+1/1
Slope = -3
Since the last table has a constant slope of -3, hence it represents a linear function.
Learn more on function here: https://brainly.com/question/3632175
Evaluate Bridget is filling welcome bags for
several new students. Each bag gets
1 magnet. The ratio of magnets to pencils in
each bag is 1:6, and the ratio of erasers to
magnets is 2:1. Which statement below must
be true? Use a model to help explain your
thinking.
• Bridget needs 4 more pencils than erasers.
Bridget needs 3 times as many pencils as
erasers.
Answer:
sOrRy BoW nEeD SoMe PoInTs Bow
Step-by-step explanation:
Round to the nearest percent
b) A car priced at $3600 is reduced by 25%.
What is the reduced price?
3600:25 =144
reduced price is 144$
Sally has 21 books sam has 24 time books than Sally how many books does Sam have
Can you delete my comment? I made a mistake-
Sally's books = 21
Sam's books
= 24 times Sally's books
= 24 times 21
= 24 × 21
= 504
Find the distance travelled by a vehicle in 10 seconds when it travels at the uniform speed of 72kmh
Answer:
If the initial velocity being is a straight line, and the final velocity being 0 km/hr, or o m/s, then:
v(final) = v(initial) + at
0 = 72 Km/h + (-=a * 10 s)
- a * 10 s = 72 km/hr * hr/3600s * 1000m/km = 20m/s
a = - (20 m/s) / (10 s)
a = - 2 m/s^2
That’s 2 m/s^2.
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
Step-by-step explanation:
Formula : distance=speed×time
time.= 10s = 10÷60÷60= 1/360h
speed = 72km/h
distance = 72×1/360 = 0.2km
express 729 as a power of 27
Solve for x
-18x + 21 > -15
OR
20x – 13 >27
Answer:
x<-3 or x>2, 2<x<-3
Step-by-step explanation:
Subtract/add from each side then divide, if dividing by a negative reverse the sign.
Answer:
all values are x
Step-by-step explanation:
A credit card company wanted to estimate the proportion of its customers who pay their credit card minimum balance on time. The company sampled 500 records and constructed a confidence interval for the true proportion of customers who pay their credit card minimum balance on time. The resulting 95 percent confidence interval was (0.765, 0.835). Which of the following is a true statement regarding the value of the point estimate and margin of error of the percentage of customers who pay their credit card minimum balance on time?
a. The point estimate is 0.765 and the margin of error is 0.07.
b. The point estimate is 0.765 and the margin of error is 0.835.
c. The point estimate is 0.80 and the margin of error is 0.035.
d. The point estimate is 0.80 and the margin of error is 0.07.
e. The point estimate could be any number within the interval and the margin of error is 0.035.
Answer: c. The point estimate is 0.80 and the margin of error is 0.035.
Step-by-step explanation:
Given: The 95 percent confidence interval was (0.765, 0.835).
Confidence interval = Point estimate ± Margin of error.
I.e. Point estimate + Margin of error = 0.835 (i)
Point estimate - Margin of error = 0.765 (ii)
Add (i) and (ii), we get
2 (Point estimate)= 1.60
⇒ Point estimate = 0.80
Put this in (i), we get
0.80+Margin of error = 0.835
⇒ Margin of error = 0.835 -0.80
⇒ Margin of error = 0.035
Hence, the correct statement is:
c. The point estimate is 0.80 and the margin of error is 0.035.
An art teacher gives a total of 35 pounds of clay to her students. She gives each of her 16 students the same amount of clay. How many pounds of clay does each student get?
Please write it as a fraction.
Answer:
35/16
Step-by-step explanation:
Answer:
2.1875
Step-by-step explanation:
35/16=2.1875
2.1875 pounds
73% of 148 grams is what?
Answer:
108.04 grams
Step-by-step explanation:
Answer: 108.04
Step-by-step explanation:
Is a scale factor of K= 8.5
A reduction or Enlargement and please explain why:)
Answer:
Enlargement
Step-by-step explanation:
Because when 8.5 will be multiplied by a number, it will increase the value of that number by 8.5 times.
9/10 of a 70-foot-long driveway has already been paved. How many feet of the driveway has been paved?"
Answer:
63
Step-by-step explanation:
This month the animal shelter had 50 puppies.
Some puppies were adopted. Now there are 40
puppies. What is the percent of change?
Answer:
5 percent change
Step-by-step explanation:
Paul and James are class fellows and their ages are consecutive natural numbers. The product of their ages is 63.Paul is elder than James. Determine ages of both Paul and James.
Answer:
Step-by-step explanation:
There are no consecutive natural numbers with a product of 63. But, there are two consecutive ODD natural numbers with a productd of 63. Could it be that you typed the problem incorrectly?
What additional information would allow the triangles to be proven similar by AA?
Question options:
A)
≅
B)
≅
C)
∠M ≅ ∠P
D)
∠Q ≅ ∠P
The additional information would allow the triangles to be proven similar by AA is: C. ∠M ≅ ∠P.
What is the AA Similarity Theorem?The acronym, "AA" stands for "angle-angle". Thus, the AA similarity theorem is a triangle theorem that is used to prove that two triangles that have two pairs of corresponding congruent angles are similar to each other.
The figure given shows two triangles, triangle MNO and triangle PQR, which have a pair of corresponding congruent angles, angle MNO and angle PQR [both are congruent because they are right angles that are equal to angle 90 degrees.]
Thus, this is not enough to prove that both triangles are similar to each other by the AA similarity theorem.
In other to prove that both triangles are similar by AA, we need to be given or shown that both triangles also have another pair of corresponding congruent angles.
Thus, the additional information needed can be: C. ∠M ≅ ∠P.
Learn more about the AA similarity theorem on:
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what are the x intercepts of y=x^2-x-12
Answer:
The person at the top is right. Give them brainliest
Find the volume of the cylinder if the radius is 4.5cm and the height is 8cm. Use 3.14 for TT
Answer:
508.68cm²
Step-by-step explanation:
Volume of a cylinder = πr²h
given r=4.5 cm h =8cm and π=3.14
so volume=
3.14×4.5×4.5×8
=508.68cm²
what’s the answer please
Answer:
option c. complementary.
Answer:
answer. option c....
Step-by-step explanation:
option c
Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18
Answer:
y=-4x+3
Step-by-step explanation:
it does not show the equations that are following
but the main thing you need to know is that when two lines are parallel they have the same slope
and do you mean 2x+8y=18 not x?
edit:
answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9
2y+8x=18
first change that equation to slope intercept form to find the slope
2y = -8x+18 -> y = -4x+9
slope is -4
so the answer is y=-4x+3 because it also has a slope of -4
What is the difference between the leg and hypotenuse of a right triangle?
Answer:
The Hypotenuse is always the greater number in length and a way you can where it is, that in your right tringle you have your Base and side. and there always a square between them, so the square will be pointing at the Hypotenuse. and the Right triangle its a triangle but one side is straight
Step-by-step explanation:
Sorry i did my best explanation
2 f(x)=x2 + 2x cómo se evalúa?
a) f(3)
b) f(-1)
c) f(x-3)
Answer:
b) f (-1) ese es el resultado
Regina have 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go into each bag?
Answer:
(3×25)÷5=15
hope it helps you
please mark me as brainlist
Answer:
15
Step-by-step explanation:
first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15
Henri challenges Emile to a walking race. Because Emile's walking rate is faster, Emile gives Henri a 45-meter head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win. How long should the race be so that Henri will win in a close race?
Answer:
about 29 seconds and 74 meters
Step-by-step explanation:
A horizontal slice of the rectangular prism below is made. The slice is parallel to rectangle. Which of these statements are true? Choose all that correct
On the next test, one of the students score 100 but the remaining 4 students score 50 again. What is the average score on this second test?
Answer:
60
Step-by-step explanation:
50+50+50+50+100= 300
divide by 5 students
300/5 = 60
Answer:
now I can answer correctly! 60 is the average
Step-by-step explanation:
100+50(4) =300
50(4)= 200+100=300
300/5= 60