An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the expected number of red balls in your sample. (Round your answer to four decimal places.)
Step-by-step explanation:
in total we have 3+4 = 7 balls.
when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.
when we draw the second ball, we have now only 6 balls in total.
the probabilty to draw a red back now depends also on the result of the first draw.
if the first ball was already red, then we have only a chance now of 2 out of 6.
if the first ball was blue, then we have now a chance of 3 out of 6.
so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :
1 - probability to see 2 blue balls
1 - 4/7 × 3/6 = 1 - 12/42 = 30/42 = 0.714285714...
the expected number of red balls in 2 draws is
1 red in first red in first red in second
but not second and second but not first
1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571
Write the inequality
The inequalities which the number lines represent are as follows;
x > 3x <= 2.While writing inequalities represented on a number line;
We must observe the direction of the line; and also observe the shading on the starting point of the line.
In case 1:
The set of x values are represented as greater than 3; Therefore, the inequality is; x > 3In case 2:
The set of value are represented as less or equal to 2;Therefore, the inequality is; x <= 2The number line to represent the street sign is as in the attached image;
Read more on number line and inequalities:
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Which sequence follows the pattern add 5, subtract 3?
A. 5,3,5,3,5,3,5
B. 6,3,8,5,10,7
C. 0,5,8,13,16,21,24
D. 12,8,6,4,20
A population numbers 18,000 organisms initially and grows by 16% each year.
Answer:
The answer is 20,880
Step-by-step explanation:
This won't be a very long explanation. What I did was add 18,000 plus 16% and I got 20,880.
Hope this helps!
Have a nice day/night/afternoon.
(Can you mark me brainliest?)
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*WHOEVER SOLVES THIS RIGHT WILL GET BRAINLIEST*
Question: 67-32x=54-34 solve for X.
67-32x= 54-34
Subtract 54-34
you would get 20
67-32x= 20 (subtract 67 from both sides of the equation )
-67 -67
-32x/-32= -47/-32 (Divide -32 on the both sides )
You get a decimal :
x= 1.46875
Round this answer:
x= 1.5
Answer:
x = 47/32 or 1.46875 ( 1.5 rounded)
Step-by-step explanation:
1) Simplify 54 - 34 to 20.
67 - 32x = 20.
2) Subtract 67 from both sides.
-32x = 20 - 67.
3) Simplify 20 - 67 to -47.
-32x = -47.
4) Divide both sides by -32.
x = -47/-32.
5) Two negatives make a positive.
x = 47/32
Can someone please explain step by step on how I subtract fractions like for an a example!
7/8 - 3/8 ?
Keep the denominators the same and subtract the numerators. So for example in your example:
7/8 - 3/8
Leave the 8 alone. Subtract 3 from 7.
7 - 3 = 4
So answer is:
4/8
Sometimes they may have to simplify the answer, and in this case, 4/8 could be simplified to 1/2
Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.
Answer:
b=14
Step-by-step explanation:
the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.
5b=b+56
4b=56
b=14
In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:
[tex]b=14[/tex]
What is a parallel line?They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.
With this information we can solve this exercise as:
[tex]5b=b+56\\4b=56\\b=14[/tex]
See more about parallel lines at brainly.com/question/16701300
Freddie can mow 3 lawns in 2 hours. Tom can mow 2 lawns in 1 hour. Who should be able to mow Mr. Smith's lawn faster?
Answer:
Step-by-step explanation:
Freddie rate of mowing=3/2=1.5 lawns /hr.
Tom's rate of mowimg=2 lawns/hr
so Tom can mow Smith's lawn faster.
Use the function below to find f(-2).
f(x) = 5x
O A. -25
O B. 1/10
O c. 1/25
O D. -10
Answer: is c. 1/25
the question is a year old but thought i'd help out and answer it since i just took the test on a.pex and the only other answer to the question is wrong
The value of the function f(2) is -10.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find f(-2), we need to substitute -2 for x in the function f(x) = 5x:
So,
f(-2) = 5(-2) = -10
Therefore,
The value of the function f(2) is -10.
Learn more about functions here:
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A rectangular garden is 24 feet wide. Its length is 5 feet more than twice the width. What is the area of the garden?
Answer:
1272 feet²
Step-by-step explanation:
Breadth (Width) = 24 feet
Length = (24 × 2) + 5
= 48 + 5
= 53 feet
Area = Length × Breadth
Area = 53 × 24
= 1272 feet²
Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.
Formula for a converging infinite series. a1 is the first term and r is the common ratio.
A. 4
B. 1.33
C. 5.33
Answer:
4
Step-by-step explanation:
This is an infinite geometric series. This has a sum of
Where
a is the first term, and
r is the common ratio (one term divided by the previous term)
Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.
Find the inverse of the matrix A=
[4 -5]
[-7 9]
Answer:
hope this answer is right 71/45
In a school of 500 students, 30% had I-Phones. The percent of boys to gi
were 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.
Answer:
tbh,I would calculate the girls to boys ratio.
Step-by-step explanation:
I mean, them boys gotta be in female heaven.
25% of them, the rest being girls, dang, imagine being handsome. lots of gf's
and FYI, it's iPhone not an i-phone.
Help help help help help
Answer:
x=18
Step-by-step explanation:
x - 3 = 15
+3
x=18
A boat is traveling at a constant speed. In 2 hours, the boat travels 180 miles. How many hours will it
take the boat to travel 225 miles?
Answer:
2 1/2 hours
Step-by-step explanation:
For 1 hour, it would travel 90 miles.
For half of 90 which is 45 it would travel 1/2 hr.
225-180 is 45 miles, which is another half hr.
2 hrs plus 1/2 hr is 2 1/2 hours.
three less than a number is -18
Answer:
-15
Step-by-step explanation:
work in reverse
-18 is three less than something
that means that something is 3 more than -18
so
add 3 to -18
-18+3= -15
2
Which of the following is equal to 4
+31;
?
3
2
WIN
04 3
X 3.
1
14 2
X
3 7
14
X
72
3
42 2
X
3 31
Answer:
1428485748586384858858
One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.
Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts
At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
Answer:
w [tex]\leq[/tex] 50
Step-by-step explanation:
What fraction is equivalent to 4/3?
2/7>b+5/7 solve the inequality
[tex]\dfrac 27 >b +\dfrac 57\\\\\implies 2 > 7b +5~~~;[ \text{Multiplying both sides by 7}]\\\\\implies 2-5>7b\\\\\implies -3>7b\\\\\implies -\dfrac 37 >b\\\\\implies b<-\dfrac 37\\\\\\\text{Interval,}~ \left(-\infty, -\dfrac 37 \right)[/tex]
Find the slope
(3,5) and (6,9)
Answer:
4/3 or 1 1/3
Step-by-step explanation:
To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)
Answer:
Slope is 4/3
Step-by-step explanation:
Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.
The formula of slope between two points can be expressed as several equations, expressions, etc such as:
[tex]\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}[/tex] where m is a variable representing the slope.
Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.
Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is [tex]\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}[/tex]
Therefore the slope of two points is 4/3.
__________________
Let me know in comment if you have any questions.
Is the point (-2,5) a solution to the inequality y is greater than or equal to 5x+ 7
Answer:
Yes, it is a possible solution for Y >/= 5x+7
Step-by-step explanation:
You plug in the values (x,y) ie (-2,5):
5(-2)+7=-3
-3<5 so -3 is less than 5.
Thus, Y is greater than 5x+7 at (-2,5).
William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?
Answer:
731 miles
Step-by-step explanation:
344 miles / 8 hours = 43 mph
17 hours * 43 mph = 731 miles
Choose yes or no to tell whether each expression is equivalent to -4/3p-2/5
A. -2/5-4/3p
B.2/5-4/3p
C.-2/5-4/3p
D.-4/3p+(-2/5)
Emilio borrows $1200 from a bank with 8% simple interest per year. How much is the interest
Answer:
96
Step-by-step explanation:
trust me I'm good at math
7/10 of guest were over 25 what is the percentage
Johnny has a box filled with 10 black marbles and 5 purple marbles.What are the odd he pulls two purple marbles in a row without replacemnet
Answer:
2/21
Step-by-step explanation:
The first purple is 5/15 and the second is 4/14. Multiply them together to get 2/21.
Sam earns $12 per hour. The store offers him a raise--a 6% increase per hour. After the raise,
how much will Sam make per hour?
Answer:
Solution here
Earning=$12 per hour
Raise=6%
The amount earned by Sam after raise=6×12/100
=72/100
=$0.72
The total amount made by Sam after the raise = $12+$0.72
=$12.72