Answer:
24/99
Step-by-step explanation:
From the question given above, the following data were obtained:
White (W) balls = 4
Black (B) balls = 5
Blue (Bl) balls = 2
Probability that they are of different color =?
Next, we shall determine the total number of balls in the bag. This can be obtained as follow:
White (W) balls = 4
Black (B) balls = 5
Blue (Bl) balls = 2
TOTAL = 4 + 5 + 2 = 11 balls
Next, we shall determine the possible outcome of draw. This can be obtained as follow.
The possible outcome could be:
WBLB or WBBL or BBLW or BWBL or BLBW or BLWB
Next we shall determine the probability of each of outcomes.
Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.
White (W) balls = 4
Black (B) balls = 5
Blue (Bl) balls = 2
TOTAL = 11
P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990
P(WBLB) = 4/99
P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990
P(WBBL) = 4/99
P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990
P(BBLW) = 4/99
P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990
P(BWBL) = 4/99
P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990
P(BLBW) = 4/99
P(BLWB) = 2/11 × 4/10 × 5/9 = 40/990
P(BLWB) = 4/99
Finally, we shall determine the probability that they are of different color. This can be obtained as follow:
P(WBLB) = 4/99
P(WBBL) = 4/99
P(BBLW) = 4/99
P(BWBL) = 4/99
P(BLBW) = 4/99
P(BLWB) = 4/99
Probability that they are of different color =?
Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)
= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99
= (4 + 4 + 4 + 4 + 4 + 4)/99
= 24/99
Thus, the probability that they are of different color is 24/99
A Carpenter has a board that measures 6 feet x 4 feet. a small rectangle measuring 1 foot x 1 foot is cut out of the middle how much area is left?
please answer all the questions for 25 points and for brainliest if not answer correctly will report
Answer:
1) 56.52 in²
2) 565.2 ft²
3) 235.5yd²
4) 898.04 ft²
5) 942 yd²
6) 75.36 in²
Step-by-step explanation:
SA= πrS + πr²
1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²
2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²
3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²
4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²
5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²
S =5 because 5² = 3² + 4²
6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²
Help me answer the question
Answer:
cubic
Step-by-step explanation:
you can eliminate all of the other ones
Answer:
cubic
Step-by-step explanation:
quadratic = makes a parabola - U shaped
linear = makes a straight line
cubic = makes a shape just like the one in the picture
square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side
What is her average?
Answer:
95
Step-by-step explanation:
88 + 95 + 97 + 100 = 380
380 ÷ 4 = 95
To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4 numbers in this problem so I divided by 4.
Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!
1. What is the purpose of using a control group and an experimental group in a research study? Give an
example of a situation where they would be used.
Answer:
A control group is used in an experiment as a point of comparison.
Step-by-step explanation:
By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
Mean: 10
Median: 10.5
Mode: none
Step-by-step explanation:
there is no mode, mean is 10 and median is 10.5
SOMEONE PLEASE HELP NO LATE RESPONSES JUST PLEASE ASAP
Answer:
93.5
Step-by-step explanation:
A realtor receives 7% commission for each home for each home she sells. She sold a home recently, earning a commission of $17,500. What was the sale price of the home?
Answer:
Step-by-step explanation:
if the realtor received a commission of 17,500 dollars which represent only 7% of the price of the house,
the sale price was
(17,500*100)/0.07=250,000
Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3
B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2
Answer: you’re welcome
Step-by-step explanation:
The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).
How to find probability using binomial distribution?The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.
In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.
Given that,
The probability of making free-throw is 70% = 70/100 = 0.7
Then, the probability of not making free-throw is 1 - 0.7 = 0.3.
The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.
So, this case belongs to the binomial distribution which can be written as,
ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.
Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,
P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²
Hence, the probability of getting exact 8 free-throws out of 10 is ¹⁰C₈(0.8)⁸(0.3)².
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pls help me for a second
Answer:
do you need Anything else? hope i helped u
Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.
Answer:
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, this means that the multiplication of their slopes is -1.
Perpendicular to y=2x+7
This means that:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2}[/tex]
So
[tex]y = -\frac{1}{2}x + b[/tex]
Passing through the point (-4,5)
This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.
[tex]y = -\frac{1}{2}x + b[/tex]
[tex]5 = -\frac{1}{2}(-4) + b[/tex]
[tex]2 + b = 5[/tex]
[tex]b = 3[/tex]
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)
Answer:
D
Step-by-step explanation:
I hope this helps a bit.
Simplify.
5a√2+3a√2
16a
8
8a
Answer:
8a[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term
= [tex]\sqrt{2}[/tex] (5a + 3a)
= 8a[tex]\sqrt{2}[/tex]
You were planning to spend $12 on a
pizza. Write and solve an inequality to represent
the additional amount you must spend to get
free delivery.
Answer:
x+12
Step-by-step explanation:
I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks
8ty grade math, please help.
-Find the volume-
Answer:
47.12389 Rounded is 47.12
Step-by-step explanation:
V=πr2h=π·12·15≈47.12389
16 is the sum of a number and 2.
What is the equation?
Answer:
14
Step-by-step explanation:
[tex]x + 2 = 16 \\ x = 16 - 2 \\ x = 14[/tex]
Like this ？？？
Answer:
16 = 2 + 14
Step-by-step explanation:
Sum means to add to numbers, so we are finding x + 2 = 16.
x + 2 - 2 = 16 - 2
x = 14
Help fjdhddjdhdhhdhdhdufh
3/4x - 7 > 5
whats the inequality ?
Answer:
x > 16
Step-by-step explanation:
3/4x > 12
3x > 48
x > 16
hope this helps
this dot plot is symmetric, and the data set has no extreme values
Answer:
Where is the plot?
Step-by-step explanation:
Write the equation of the line (y = mx+b) that has a slope of 2/3 and passing through the point (-6, 4)
Answer:
y = 2/3x + 4
Step-by-step explanation:
y = 2/3x + b
substitute
4 = 2/3(-6) + b
4 = -4 + b
what number added to -4 will equal 4? the only answer is 8.
-4 + 8 = 4.
b = 4
What type of transformation
has this figure Madeo
Answer:
Rotation it almost has Rotate in the word, Reflection is a mirror of itself, Translation is when the Object stays the same, But is moved
Step-by-step explanation:
In ABC, what is the value of x?
Answer:
122 po nya ta
Step-by-step explanation:
sana po makatulong
Answer:
70
Step-by-step explanation:
I got it wrong and this is what showed up
Find the volume of cylinder with height 9 cm and radius 4 cm
Answer: 144π
Step-by-step explanation: First. find the area of the bases. To do this, you must solve for the area of a circle with a radius of 4. Since the formula for finding the area of a circle is area=πr² squared, the area of the circles are 16π. Next, you must multiply the area of the base, 16π, by the height of the cylinder, 9. 16π times 9 is 144π, or about 452.4, if rounded to the nearest tenth, or 452.39, if rounded to the nearest hundredth.
A pet sitter charges $84 for eight hours of work at this rate how much does the pet Sitter charge for seven hours of work?
Answer:
73.5
Step-by-step explanation:
84/8=10.5
10.5x7=73.5
If you place a 37-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
The building will be making 90° with the ground/horizontal.
Then we can apply Pythagoras theorem.
(Base)² + (Height)² = (Hypotenuse)²
=> x² + (12 foot)² = (37 foot)²
=> x² = (37 foot)² - (12 foot)²
We can expand LHS using a² - b² = (a + b)(a - b)
=> x² = (37 + 12 foot)(37 - 12 foot)
=> x² = 49 * 25 foot²
=> x² = (7 * 5)² foot²
=> x = 7 * 5 foot
=> x = 35 foot.
What is the recursive formula for the geometric sequence 2, 12, 72, 432,.. ?
[tex]a_{1}=2\\a_{n}=6a_{n-1}[/tex]
The recursive formula is aₙ = 2(6)ⁿ⁻¹.
What is recursive formula?A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.
Given: 2, 12, 72, 432,..
r= 12/2= 6
a= 2
The recursive formula for the nth term,
aₙ = a₁ rⁿ⁻¹
aₙ = 2(6)ⁿ⁻¹
Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹
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Any help would be appreciated. Thank you
Find the indicated limit, if it exists.
Answer:
2
Step-by-step explanation:
[tex]Lim_{x\to 8} f(x), \: f(x) \begin{cases} x + 10 \: \: \: \: x < 8 \\ \\ 10 - x \: \: \: \: x \geqslant 8\end{cases}[/tex]
[tex] Lim_{x\to 8} f(x) = Lim_{x\to 8} 10 - x \\ \\ = 10 - 8 \\ \\ = 2[/tex]
Which of the following lines is perpendicular to the line 8x + 6y = 12 and passes through the point (-12,-2)?
Answer:
y = 3/4x + 7
Step-by-step explanation:
8x + 6y = 12
6y = -8x + 12
y = -4/3x + 2
Perpendicular slope: 3/4
y - y1 = m(x - x1)
y + 2 = 3/4(x + 12)
y + 2 = 3/4x + 9
y = 3/4x + 7
180 students in a 10th grade class high school take a survey about which video game consoles they own. 80 students answer that one of the consuls is a PlayStation 90 answer that one of the consules is an Xbox out of these there are 30 who are both systems > continue reading on picture pls help very important
Answer:
Ur answer is in attachment
Step-by-step explanation:
please mark me as brainliest
The probability that a student has both box and a console is 1/6 and the P(B/A) = 0.378
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here, the number of students with both video games is 30 thus
The probability that a student has both box and a console is 30/180=1/6
And the conditional probability P(B/A) is = 1/6/0.44
= 0.378
Hence, The probability that a student has both box and a console is 1/6, and the P(B/A) = 0.378
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