The probability of selecting 22 red balls is [tex]\frac{^{44} C_{22} }{^{99} C_{22}}[/tex]
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
A bag contains 44 red balls and 55 blue balls
The total number of balls=44+55=99
22 balls are selected at random from bag.
We need to find the probability of selecting 22 red balls.
The probability of selecting 22 red balls from 44 balls
[tex]^{44} C_{22}[/tex]
2,104,098,963,720
and [tex]^{99} C_{22}[/tex] is 5.7190121704386E+21
So probability of selecting 22 red balls is
[tex]\frac{^{44} C_{22} }{^{99} C_{22}}[/tex]
Hence, the probability of selecting 22 red balls is [tex]\frac{^{44} C_{22} }{^{99} C_{22}}[/tex]
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Urgent please!!!!!!!!!!!!!!!!!!!!!
Which of the following best defines ? Square root of 16 Cube root of 4 Square root of 4 Cube root of 16
Square root of 16
Cube root of 4
Square root of 4
Cube root of 16
The question involves understanding square roots and cube roots in mathematics. The square root of 16 is 4 and of 4 is 2. The cube root of 4 is about 1.587 and of 16 is approximately 2.52.
Explanation:The question is related to the concept of roots, specifically square roots and cube roots. A square root of a number is a value that, when multiplied by itself, gives the original number. The square root of 16 is 4 because 4*4 equals 16. Similarly, the square root of 4 is 2 because 2*2 equals 4.
On the other hand, the cube root of a number is a value that, when multiplied by itself twice, gives the original number. The cube root of 4 is approximately 1.587 because 1.587*1.587*1.587 is roughly equal to 4. The cube root of 16 is approximately 2.52 because 2.52*2.52*2.52 is roughly equal to 16.
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A square with an area of 49 in2 is rotated to form a cylinder. What is the volume of the cylinder? Round to the nearest tenth.
3x + 2y + z = 8 2x - 3y + 2z = -16 x + 4y - z = 20
To write 10-7 in standard form, you would write a decimal number with:
1s in the first 7 decimal places.
1s in the first 6 decimal places and 0 in the 7th decimal place.
0s in the first 6 decimal places and 1 in the 7th decimal place.
0s in the first 7 decimal places and 1 in the 8th decimal place.
Answer:
mine is 6.7
Step-by-step explanation:
Phoebe, Andy and Polly share £270.
Phoebe gets 3 times the amount as Andy who gets twice as much as Polly.
Work out how much they get each
Phoebe got £180, Andy got £60 and Polly got £30
The amount shared is given as:
Amount = £270
Represent Phoebe's share with x, Andy's with y and Polly's with z.
From the question, we have:
x = 3y
y = 2z
So, we have:
x : y : z = 3y : 2z : z
This gives
x : y : z = 6z : 2z : z
When £270 is shared in the above ratio, we have:
x : y : z = 180 : 60 : 30
Hence, Phoebe got £180, Andy got £60 and Polly got £30
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When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, what should the insurance coverage amount be based on…
When Lisa purchased her house, the mortgage lender required her homeowner's insurance to cover 100% of the loan amount. After many years, Lisa paid off her mortgage. If Lisa decided to comparison shop for homeowner's insurance now, then the insurance coverage amount be based on the cost to rebuild the house.
round 0.947 to the nearest 10
Carl’s taxable income is $36,064. He is filing as married filing jointly, and he has already paid $4110 in federal taxes. What will he receive or pay after he figures his taxes for the year?
The answer is B. He will pay $431.
The sum of two numbers is 54. their difference is 34. find the numbers.
Find the missing side lengths.
since the known angle is 45 degrees both the height and the base are equal
so y = 6
the hypotenuse (x) on a 45 degree triangle = the side time sqrt(2)
so x = 6sqrt(2)
What is 2 9/10 - 1 7/18?
Not really sure how to do this one (ignore writing above)
A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?
Simplify the expression where possible.
(-5x^2)^3
which graph shows the inequality n>2
One sample has n = 5 scores and the second has n = 10 scores.if the pooled variance for the two sample is 30, then what is the value of the estimated standard error for the sample mean difference?
The estimated standard error for the mean difference between two samples with sizes of 5 and 10 respectively, and a pooled variance of 30, is calculated using the standard error formula. The standard error is 3.
Explanation:The question you've asked falls under the realm of statistics, in specific it involves the calculation of the estimated standard error for differences between two sample means (one with n=5 scores and the second with n=10 scores) given a pooled variance of 30.
The formula to find the estimated standard error for a difference between two sample means is:
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
Where s1^2 and s2^2 are the variances of the two samples and n1 and n2 are the sizes of two samples respectively. As we do not know the variances for the individual samples, we can use the pooled variance as an estimate. The pooled variance can be considered as s1^2 = s2^2 = 30.
Now substitute these values in the equation, we get:
SE = sqrt[(30/5) + (30/10)] = sqrt[6+3] = sqrt[9] = 3
So, the estimated standard error for the mean difference between these two samples is 3.
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Solve V = 1/3(3.14)r^2h for h
How to find the y-intercept from two points?
To find the y-intercept from two points, first calculate the slope using the formula m = (Y₂ - Y₁) / (X₂ - X₁). Then, substitute the slope and one coordinate into the equation y = mx + b and solve for b, which is the y-intercept. The y-intercept reveals the value of y when x = 0.
Explanation:The subject at hand pertains to the field of Mathematics, specifically, how to determine the y-intercept from two points on a line. The objective is to find the point at which the line intercepts the y-axis, denoted generally in equations as b in the form of y = mx + b, where m signifies the slope.
Here's a step-by-step process to find the y-intercept:
First, calculate the slope (m) from your two points using the formula: m = (Y₂ - Y₁) / (X₂ - X₁). Y₂ and Y₁ represent the y-values from your two points, and X₂ and X₁ represent their respective x-values.Substitute the slope (m) and one of your points into the equation y = mx + b. Solve for b which is your y-intercept.The y-intercept represents the value of y when x = 0. In context, it shows where the line crosses the y-axis.
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Your height can be represented by a function h , where the input is your age.
What Does h(14) represent?
What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?
Answer: The area of the parallelogram with the given vertices=238 square units.
Step-by-step explanation:
Let CD be the base of the parallelogram ABCD is given by distance formula
CD=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} =\sqrt{(-12-2)^2+(-5-(-5))^2} =\sqrt{196} =14[/tex]units[or you can count distance by using graph as ordinates of C and D are same to we can count the distance of x from C to D]
Now consider P a point on CD such that AP become the height of the parallelogram which is given by (from the graph attached)=17 [as abscissa of P and A are same to we can count the distance of y from A to P]
Area of parallelogram = base × height=14×17=238 square units.
Experts/ace where do i out the dots?
divide total paid by number of pencils for price of 1 pencil
4.50 / 18 = 0.25 for 1
so you would put a dot at (1, 0.25) (2,0.5) (3,0.75) etc and draw a line through the dots
see attached picture:
Using the Quadratic Formula, which of the following is the solution to the quadratic equation 5x2 + 10x - 5 = 0?
x = -1 -√2, x = -1 + √2
x = -1 -√5, x = -1 + √5
x = 1 -√2, x = 1 + √2
x = -1 -√201, x = -1 + √201
The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,
⇒ x = - 1 ± √2
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
Equation is,
5x² + 10x - 5 = 0
Now, We can solve by using quadratic formula as;
⇒ x = - 10 ± √10² - 4×5×- 5 / (2×5)
⇒ x = - 10 ± √100 + 100 / 10
⇒ x = - 10 ± √200 / 10
⇒ x = - 1 ± √2
Thus, The value of solution of quadratic equation 5x² + 10x - 5 = 0 is,
⇒ x = - 1 ± √2
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calculate the slope of the line given the points (-2, 6) and (0, 4)
The slope of the line given the points (-2, 6) and (0, 4) is -1. The correct answer would be option (A).
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
We have to determine the slope of the line given the points (-2, 6) and (0, 4)
Plugging in the given points, we get:
m = (4 - 6) / (0 - (-2)) = -2 / 2 = -1
So, the slope of the line is -1.
Hence, the correct answer would be an option (A).
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Evaluate {(30 + 6) - 3^2} divided by 9 x 2
A) 6.6
B) 6
C) 1.5
D) 34
Solve 7x - 2(x + 1) = 6x + 14
A) -12
B) 12
C) -16
D) 16
OHHHHHH!!!! I have a math problem Help me Will give Brainliest
Find three consecutive integers whose sum is -21. 2. find three consecutive odd integers whose sum is 144. 3. the sum of three consecutive even integers is 48. what are the numbers?
Final answer:
Explanation of determining between which two consecutive integers a square root lies.To find out between which two consecutive integers numbers like √18, √29, √5, and √79 lie, we use the squares of integers to estimate their positions without a calculator, illustrating these numbers lie between integers whose squares are immediately below and above the given number.
Explanation:
To determine between which two consecutive integers a given square root lies without a calculator:
For<6: √18 is between 4 and 5 because 4< √18<5.
For<5: √29 is between 5 and 6 because 5< √29<6.
For=5: √5 is between 2 and 3 because 2< √5<3.
For>7: √79 is between 8 and 9 because 8< √79<9.
Solve the inequality 2x + 8 < 5x - 4
A) X > 4
B) X > 1
C) X < 1
D) X < 4
Isaac and his sister plan to surprise their parents by buying them each a pair of shoes. They agree that Isaac will pay 68% of the price since he receives a greater allowance. Use an estimation strategy to determine how much Isaac will pay if the total bill is $97.65. Show the step-by-step process you used to solve the problem.
for estimating round both the price of shoes and the percentage to round numbers
97.65 is close to 100, so use 100 for the price of shoes
68% is close to 70 so use 70%
then multiply 100 by 70 %,
100 *70% = 70 dollars
so Isaac would pay around 70 dollars
Step-by-step explanation:
first you need to see how much his sister is paying and she is paying 32% and that is 31.24 then you need to subtract 97.65 by 31.24 which will equal 66.41 so Isaac will pay $66.41 hope this helps if your going to use it change the wording up a bit
plz help me i make you the bralnlyiest personOn a flight home from college, Elizabeth had to pay $20 to check her bag, plus $8 for every pound over the weight limit. On the flight back to college, she paid $26 to check her bag and $5 for every pound over the weight limit. If the total baggage fees were the same for each trip: 1. Write a system of equations to describe the situation. 2. How much over the weight limit was Elizabeth’s bag? 3. What was the baggage fee paid to
each airline? PLZ ANSWER FAST
Answer:
36
Step-by-step explanation:
took it