The probability of exactly 1 of the 4 marbles drawn being blue and at least 1 of the 4 marbles drawn being white will be 0.3535 and 0.7454 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles.
The total number of the marbles will be
Total marble = 3 + 4 + 5
Total marble = 12
Then the probability of exactly 1 of the 4 marbles drawn being blue will be
[tex]\rm P(B) = \dfrac{^5C_1 \times ^7C_3}{^{12}C_4}\\\\P(B) = \dfrac{35}{99} = 0.353535[/tex]
Then the probability of at least 1 of the 4 marbles drawn being white will be
[tex]\rm P(W) = \dfrac{^{3}C_1\times \ ^{9}C_3}{^{12}C_4} + \dfrac{^{3}C_2\times \ ^{9}C_2}{^{12}C_4} + \dfrac{^{3}C_3\times \ ^{9}C_1}{^{12}C_4} \\\\\\P(W) = \dfrac{252}{495} + \dfrac{108}{495} + \dfrac{9}{495}\\\\\\P(W) = \dfrac{369}{495}\\\\\\P(W) = 0.745454[/tex]
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Answer:
A. 0.3535.
B. 0.7455.
Step-by-step explanation:
The probability that exactly 1 of the 4 marbles drawn is blue is 0.3535. The probability that at least 1 of the 4 marbles drawn is white is 0.7455.
if the sum of a number and seven is doubled, the result is eight less than the number. Find the number
Answer: -18
Step-by-step explanation:
Let the number be represented by x.
If the sum of a number and seven is doubled, the result is four less than the number. The expression would be
2(x + 7) = x - 4
We would open the bracket on the left hand side of the equation by multiplying each term inside the bracket by 2. It becomes
2x + 14 = x - 4
Subtracting 14 and x from the left hand side and the right hand side of the equation, it becomes
2x + 14 - 14 - x =x - x - 4 - 14
x = - 18
Answer:
-22
Step-by-step explanation:
The result is eight less than the number means that
the result = number - 8
( x + 7 ) * 2 = x - 8
=> 2x + 14 = x - 8
=> x = -22
helppp meee please eee
Answer:
C ≈ 25.1 yd
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 4 = 8π ≈ 25.1 yd ( to the nearest tenth )
Answer:
25.1
Step-by-step explanation:
Formula of Circumference: 2πr
Radius: 4yd
Diamteter: 8yd
π = 3.14
= 2 x π x r
= 2 x 3.14 x 4
= 25.12
Rounded up:
= 25.1
By referring to the vertices state the angle highlighted in blue.
Answer:
∠C
Step-by-step explanation:
The angle in blue has C as its vertex.
Vertex is a point where 2 rays intersect to form an angle.
________
Hope it helps ⚜
The radius of Circle A is 3 in. The radius of Circle B is 3 in. greater than the radius of
Circle A. The radius of Circle C is 3 in. greater than the radius of Circle B. The radius of Circle D is
2 in. less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?
The area of Circle A is __in. 2
Answer:
Area of A: 9pi
5.4 Times greater
Step-by-step explanation:
Circle A Radius: 3
B Radius: 3+A (6 total)
C Radius: 3+B (9 total)
D Radius: C-2 (7 total)
Area of each Circle using formul pi*radius²
A: 9pi
B: 36pi
C: 81pi
D: 49pi
49/9 = 5.4 Circle D is 5.4 times greater then A
George is a candle maker. Each 14cm long candle he makes burns for 7 hours. If George makes a 46cm long candle, how long would it burn
2. The population of a school is 800 students and is increasing at a rate of 2% per year. Write an
exponential growth function, then find the population of the school after 9 years.
Answer:
1.) y=800e^(0.02t)
2.) 957.76 (or 958 if rounding up is required)
Step-by-step explanation:
1.) Since the increase is in years and our time is in years, we can use the function y=Pe^(rt) where P is our beginning value, r is rate (as a decimal) and t is time. Substitute the values P=800, r=0.02 to get y=800e^(0.02)t.
2.) Solving the equation above, we substitute t for 9, we get:
Y=800e^(0.02*9)
Y=800e^(0.18)
Y=800*(1.1972)
Y=957.76
Since it asks for population, you may or may not need to round to 958.
Please help …. I will mark brainly
Answer:
A
Step-by-step explanation:
The slope is 4,6
Or x/y is 4/6
4/6*-3/2=-12/12
=-1
-1
and the extra 3 when you flip it.
I will mark brainiest
b is correct !! :) good luck on whatever youre doing ^-^
What is the volume of the triangular prism
Step-by-step explanation:
The volume =
base area × height
1/2×3.6×2.4 × 6
= 25.92 cm³
Which of the following is not a change steve should make to the contract before he signs it? a. steve needs to increase the total cost from $300.00 to $500.00. b. steve needs a clause about the cost of rental equipment as janice’s responsibility. c. steve needs a clause about his hourly rate, regardless of the time it takes to finish the job. d. steve needs to remove the total cost of $300.00 in case the job takes longer than originally expected.
Answer:
I believe its a: steve needs to increase the total cost from $300.00 to $500.00.
Step-by-step explanation:
What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the
smaller figure? The figures are not drawn to scale
keeping in mind that the ratio of the sides is the same as the ratio of the perimeters, Check the picture below.
PLEASEEEE HELP MEEE
Matching equations with diagrams & finding unknown ancies
is on line WY. Find the value of b.
Which equation(s) and angemeurerents go with the
diagram. Choose ALL that apply
(Select all that apply.)
two tenths plus blank equals forty nine hundredths
a
fifty one hundredths
b
twenty nine hundredths
c
forty seven hundredths
d
ninety eight hundredths
Answer:
b blank = 29/100
Step-by-step explanation:
2/10 + blank = 49/100
blank = 49/100 - 2/10
We need a common denomonator of r10 and 100. We can use 100.
blank = 49/100 - 20/100
blank = 29/100
Use the Pythagorean theorem to find x. Enter the answer in simplified form.
Need help ASAP!
Answer:
x=13.855
hope i was able to help you
When patterning a shotgun, what is a sufficient percentage of pellets within a 30-inch circle?.
The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The percentage of pellets within a 30-inch circle.
Now,
We know that;
According to the state hunter education standards, your shotgun pattern within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
Thus, The sufficient percentage of pellets within a 30-inch circle should be; ''concentrated in the center at least 55% of the load, with even distribution.''
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3 ounces for every 3/4 cup
What is the solution to the system of equations below?
y = negative 3 x + 5 and y = 4 x minus 2
Answer:
(1, 2)
Step-by-step explanation:
Since we are finding a solution that matches both equations, y = -3x + 5 is equal to y = 4x - 2.
So -3x + 5 = 4x - 2
Then group terms like so by moving them to the other side:
5 + 2 = 4x + 3x
7 = 7x.
Therefore x = 1.
Now to find y we substitue the value of x into an equation that contains y:
Y = 4x - 2
{x = 1}
Y = 4 - 2
Y = 2
Therefore the solution is (1, 2)
How to evaluate (-5)^-3 when 5 is a prime number.
Answer:
[tex]\left( -5\right)^{-3} =-\frac{1}{125}[/tex]
Step-by-step explanation:
[tex]\left( -5\right)^{-3} =\frac{1}{\left( -5\right)^{3} } =\frac{1}{-(5)^{3} } =\frac{1}{-125} =-\frac{1}{125}[/tex]
Which of the following is a monomial?
A. 20x^9-7x
B. 11x-9
C.20x^9
D.9/x
Answer:
c is the monomial as it fulfills the monomial equation ax^n where n is a whole number
Find the surface area of the cylinder. Type an exact answer in terms of pi.
Answer:
154π cm²
Step-by-step explanation:
Radius (r) = 7 cm
Height (h) = 4 cm
Surface area of cylinder
= 2πr (h + r)
= 2π (7) (4 + 7)
= 2π (7) (11)
= 2π (77)
= 154π cm²
______
Hope it helps ⚜
Answer:
154π cm²
Step-by-step explanation:
Formula for the Surface Area of a Cylinder
SA = 2πr (h + r)Solving
Here r = 7 cm and h = 4 cmSA = 2πr (h + r)SA = 2π × 7 (7 + 4)SA = 14π × 11SA = 154π cm²An elephant at an animal sanctuary weighs 5.5 tons. He receives a daily nutritional supplement. The instructions say to give 1 fluid ounce of supplement for every 250 pounds of body weight.
Answer:48.5
Step-by-step explanation: Convert 5.5tonnes to pounds, that will be 12125.4pounds
To find how many 250pounds shots of supplement needed, divide by 250
12125.4÷250=48.5fluid ounce daily.
5 I bought 5 boxes of
crackers using a
coupon for 20% off. My
total bill was $6. What was
the original price of one
box of the crackers?
Answer:
1.20 x .2 which is the percent is $6. so the answer is $1.20
The original price of one box of crackers was $1.5 as per the concept of percentage.
Let's assume the original price of one box of crackers is "x" dollars.
After applying the 20% off coupon, you paid 80% of the original price for each box.
So, the discounted price of one box of crackers is 0.8x dollars.
Since you bought 5 boxes of crackers at the discounted price, the total bill becomes:
Total bill = 5 × 0.8x
Total bill = 4x dollars
Given that the total bill was $6, we can set up the equation:
4x = 6
Now, we solve for "x":
x = 6 / 4
x = 1.5
So, the original price of one box of crackers was $1.5. Before the discount, each box cost $1.5, but with the 20% off coupon, you paid 80% of the original price, which resulted in a total bill of $6 for 5 boxes.
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Aj has dollers in her account she spends $35. 31 if the balance in her account is $161. 23 what was the amount in her account before her purchase
Lawrence is making 10 gift baskets. The table shows the food he has bought for the baskets . if the food it divided evenly , how much of each type of food will he put in each basket? complete the table. Give each answer as either a fraction mixed number or a decimal.
Answer:
i cant awnser
Step-by-step explanation:
wheres the table....like i cant tell
2. Two newspapers are comparing sales for last year.
● The Post sold 34,859 copies.
●
The Tribune sold two-and-a-half times as
many as the Post.
Write an equation that compares the number of
newspapers sold.
Answer:
t= 2.5P
Step-by-step explanation:
tribune= 2.5 x post
Walmart sells birthday cakes for. $18. After 3 days,they markdown the cakes by 45% . What is the discounted price after 3 days has passed?
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student who has a cat also has a dog?
Answer:
14/30
Step-by-step explanation:
hi! I hope that I can get the answer
Answer:
84 ft ^3
Step-by-step explanation:
volume = 1/3 * base area * height
volume = 1/3 * (6*7) * 6
volume = 1/3 * (42) * 6
volume = 14 * 6
volume = 84
a
4) The function P= 95 - 30 log 2 x models
the percentage, P, of students who could
recall important features of a classroom
lecture as a function of time, where x
represents the number of days that has
elapsed since the lecture was given.
a) After how many days do only half of
the students recall important features of
the classroom lecture? (P=50)
b) After how many days have ALL
students forgotten the important features
of a classroom lecture? (P = 0)
Answer:Assuming x is an odd number, the expression for three consecutive odd numbers would be x+x+2+x+4, which simplifies to 3x+6.ep-by-step explanation:
what is 6/-9 simplified?
Answer:
Reduce by cancelling common factors.
The simplified expression of this problem is -2/3
[tex]-\frac{2}{3}(-0.6)[/tex]
Answer:
-2/3
Step-by-step explanation: