Answer:P(BBR) = 1/2 × 25/51 × 26/50 = 13/102 if cards are not replaced.
P(RBB) = 1/2 × 26/51 × 25/50 (simplified 1/2) = 13/102
P(BRB) = 1/2 × 26/51 ×25/50 (simplified 1/2) = 13/102
Step-by-step explanation: P(B) at first step is 26 cards out of a possible 52 therefore 26/52 (or simplified 1/2). We then have 25 black cards left out of a possible 51 therefore 25/51. The final card then has to be red to meet the criteria, we have 26 red cards still out of a possible 50 therefore 26/50.
This would be an example of binomial probability as at each step there are only 2 options R or B.
The sum of two irrational numbers is _____ a rational number. Which word correctly fills in the blank to create a true statement?
A) always
B) never
C) sometimes
Answer:
C.) Sometimes
Step-by-step explanation:
The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.
The word that correctly fills the blank is sometimes, the correct option is C.
What is a Rational Number ?Rational Numbers are numbers that can be written in the form of p/q, q≠0.
The sum of two irrational number is sometimes a rational number.
For example the summation of the irrational number with its additive inverse, the sum will be 0, which is a rational number and a whole number.
Therefore, the word that correctly fills the blank is sometimes, the correct option is C.
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If A={3,6,9,12 }and B={0,4,8,12}, then find A∩B. *
Answer:
{12}
Step-by-step explanation:
[tex]A= \{3,6,9,12\} \\ B= \{0,4,8,12 \} \\ A \: \cap \: B = \{12\} [/tex]
An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, what percent of the animals are female?
Someone please answer.... I really need this
I will give brainliest. PLEASE HELP!!!
Answer:
21% of the animals are female
Step-by-step explanation:
In total:
There are 40 + 60 = 100 animals.
Female animals.
40 dogs. Of those, 15% are female. So 0.15*40 = 6.
60 cats. Of those, 25% are female. So 0.25*60 = 15.
21 female animals.
21/100 = 0.21 = 21%
21% of the animals are female
Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of 7 per hour. If it takes approximately 10 minutes to serve each customer, find the mean and variance of the total service time for customers arriving during a 1-hour period. Assume that a sufficient number of servers are available so that no customer must wait for service. What is the probability that the total service time will exceed 2.5 hours? (Use at least four digits after the decimal if rounding.)
Answer:
the mean service time = 70 minutes
the variance of the total service time for customers arriving during a 1-hour period is 700
the probability that the total service time will exceed 2.5 hours is 0.0012
Step-by-step explanation:
Given that:
Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of 7 per hour.
If it takes approximately 10 minutes to serve each customer
From the given information:
The mean total service time= [tex]10 \ minutes * \lambda[/tex] (i.e the average number to turn up during the hour) .
where;
[tex]\lambda =[/tex] the average rate per hour i.e 7
Thus; the mean service time = 10 × 7 = 70 minutes
For a Poisson Distribution;
The variance of the the total service time for customers arriving during a 1-hour period can be expressed by the relation:
[tex]\sigma(aX) = a* \sigma(X). \\ \\ where ; \sigma = {\sqrt{S^2}} \\ \\ \sigma(service \ time) = 10 * \sigma(arrival \ time) \\ \\S^2 (service \ time) = (10* \sigma(arrival \ time))^2 \\ \\ S^2(service \ time) = 100 * S^2(arrival \ time) \\ \\ = 100*\lambda \\ \\ = 100*7 = 700[/tex]
where S² = variance
What is the probability that the total service time will exceed 2.5 hours?
If we convert 2.5 hours to minutes ; we have
2.5 × 60 minutes =150 minutes
The probability that the total service time will exceed 2.5 hours is as follows:
[tex]Z = \dfrac{S-70}{\sqrt {700}} \ \ \ \ follow \ N(0,1) \\ \\ P(S > 150) = \dfrac{S-70}{\frac{\sqrt{700}>(150-70)}{\sqrt{700}}} \\ \\ =P(Z > -2.5512) \\ \\ =0.0012[/tex]
30 POINTS FOR THE GENUIS WHO CAN ANSWER THIS!!
Answer:
Answers are below in bold
Step-by-step explanation:
1) A = 1/2bh Use this equation to find the area of each triangular base
A = 1/2(8)(6) Multiply
A = 1/2(48) Multiply
A = 12cm² Area of each triangular base
2) A = L x W Use this equation to find the area of the bottom rectangular face
A = 20 x 8 Multiply
A = 160 cm² Area of the bottom rectangular face
3) A = L x W Use this equation to find the area of the back rectangular face
A = 20 x 6 Multiply
A = 120 cm² Area of the back rectangular face
4) A = L x W Use this equation to find the area of the sloped rectangular face
A = 20 x 10 Multiply
A = 200 cm² Area of the sloped rectangular face
5) To find the total surface area of the triangular prism, add together all of the numbers.
A = 12 + 12 + 160 + 120 + 200 Add
A = 504 cm² Total area of the triangular prism
find the distance from the origin to the graph of 6x+3y+2=0
Answer:
C. 0.3
Step-by-step explanation:
The lengths of the sides of a triangle are 3, 3, 32. Can the triangle be a right triangle?
Answer:
No
Step-by-step explanation:
Although two sides are equal, the 32 is simply too big for it to be a triangle.
Answer:
No it is not the sides of right angled triangle.
Step-by-step explanation:
IF a²+b²=c² then the triangle is right
3²+3²=32²
9+9=1024
18=1024
F(x)=4x>2+12x+9 Rewrite to function by completing the square F(x)=...(x+....)>2+...
Answer:
f(x) = 4( x + 3/2)^2
Step-by-step explanation:
F(x) =4 x^2 + 12x + 9
= 4 [ x^2 + 3x] + 9
Add (3/2)^2 - (3/2)^2 to the square bracket, we have:
4 [ x^2 + 3x+ (3/2)^2 - (3/2)^2] + 9
4[ (x + 3/2 )^2 - 9/4] + 9
4( x + 3/2)^2 - 9/4 ×4 + 9
4( x + 3/2)^2 - 9 + 9
4( x + 3/2)^2 +0
4( x + 3/2)^2
Note the (3/2)^2 - (3/2)^2 is decoded by dividing b by 2 and squaring it and then subtracting same. Look at the general equation of a circle given below
ax^2 + bx + c
To form a square expression we adopt (b/2)^2 - (b/2)^2 to the general equation provided a = 1;
To make a = 1; we had to factor out 4 from the coefficient of x; making perfect square is of concern when we have ax^2 + bx ; irrespective of 'c' or not.
This is usually referred to as method of completing the square in solving quadratic equation
What evidence from Tutankhamen's tomb supports the theory that he had a genetic disease that made it difficult for
him to walk? Check all that apply.
please help
Answer:
the first and the second answer
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
This is correct believe me it is.
You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. What is the initial height of the balloon?
Answer:
The initial height of the balloon is 2 feet.
Step-by-step explanation:
The height of the balloon in feet after t seconds is given by the following equation:
[tex]h(t) = -0.08t^{2} + 1.6t + 2[/tex]
What is the initial height of the balloon?
This is h when t = 0, that is, h(0). So
[tex]h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2[/tex]
The initial height of the balloon is 2 feet.
The rectangular floor of colbys room is 9 feet long and 6 feet wide. What is the area of the floor
Answer:
54 ft^2
Step-by-step explanation:
The area is the product of length and width:
A = LW = (9 ft)(6 ft)
A = 54 ft^2
The area of the floor is 54 square feet.
Answer:
area of the rectangular floor = 54 ft²
Step-by-step explanation:
The area of a rectangle is the product of the length and width. The floor is rectangular therefore the area of the floor can be calculated by using the area of a rectangle.
area of the rectangular floor = length × width
length = 9 ft
width = 6 ft
area of the rectangular floor = length × width
area of the rectangular floor = 9 × 6
area of the rectangular floor = 54 ft²
Brady can feed, water, and clean up after 24 cows in 120 minutes. McKenna takes 360 minutes to care for 24 cows. How long will it take Brady and McKenna working together to care for 24 cows?
Answer:
Minutes= 90
Step-by-step explanation:
Brady will take care of 24 cows in 120 minutes.
Rate of Brady = 24/120
Mc Kenna takes care of same 24 cows in 360 minutes.
Rate of Mc Kenna = 24/360
Sum of rates = 24/120 + 24/360
Sum of rates =( 72+24)/360
Sum of rates = 96/360
Sum of rates = 96/360
Let's determine how many minutes it will take them total to take of Same 24 cows
Minutes = 24/rate
Minutes = 24/(96/360)
Minutes =( 24*360)/96
Minutes= 90
Unit sales for new product ABC have varied in the first seven months of this year as follows: Month Jan Feb Mar Apr May Jun Jul Unit Sales 148 329 491 167 228 285 441 What is the interquartile range (IQR) of the data? Please specify your answer as an integer. Note: Use the following formula to find quartile locations: Lq=(n+1)⋅(q4) where q is the quartile index (e.g., q=1 for the first quartile) and n is the number of data points.
Answer:
IQR = 274
Step-by-step explanation:
Given the unit sales for the months as:
148, 329, 491, 167, 228, 285, 441
Let's rearrange in ascending the values in ascending order (from lowest to highest), we have:
148, 167, 228, 285, 329, 441, 491
Here the total number of data, n is 7
Let's find the quartile locations using the formula:
[tex] Lq = (n + 1) * (\frac{q}{4}) [/tex]
where q is quartile index.
For first quartile, Q1:
[tex] Lq = (7 + 1) * (\frac{1}{4}) [/tex]
[tex] Lq = 8 * (\frac{1}{4}) = 2 [/tex]
Thus, the 2nd observation in the data is 167.
Q1 = 167
For third quartile, Q3:
[tex] Lq = (7 + 1) * (\frac{3}{4}) [/tex]
[tex] Lq = 8 * (\frac{3}{4}) = 6 [/tex]
Thus, the 6th observation in the data is 441.
Q3 = 441
The interquartile range, IQR will be:
Q3 - Q1
= 441 - 167
= 274
IQR = 274
How many fluid ounces are there in 5 quarts?
Answer:
160
Step-by-step explanation:
So there are 32 ounces in a quart.
32 * 5 = 160
Answer:160 fluid ounces :)
Step-by-step explanation:
Please slove for me would make my day
Answer:
x = 30°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so you have ...
60° +2x +60° = 180°
2x = 60° . . . . . . . . .subtract 120° from both sides
x = 30° . . . . . . . . . . divide by 2
_____
Since the triangle is isosceles (base angles are congruent), the angle bisector is also an altitude that divides the triangle into congruent 30°-60°-90° triangles. The measure of the angle marked x is 30°.
Ian is borrowing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60 per month
Answer:
whats the question?
Step-by-step explanation:
Please answer this correctly
Answer:
22 1/8 mm.
Step-by-step explanation:
First add the whole numbers, then the fractions:
3 + 5 + 5 + 7 = 20
7/8 + 7/8 + 3/16 + 3/16 Change the 7/8's to 14/16:
= 14/16 + 14/16 + 3/16 + 3/16
= 28/16 + 6 /16
= 34 /16
= 2 2/16
= 2 1/8
So the final answer is 20 + 2 1/8
= 22 1/8 mm.
Step-by-step explanation:
the perimeter of this
3 7/8 + 5 3/16 + 5 3/16 + 7 7/8
= 31/8 + 83/16 + 83/16 + 63/8
= 62 + 83 + 83 + 126/ 16
= 354/16 ans
Mrs. Lowery wants to make as many 3-ounce baggies of almonds as she can. She has an open jar of almonds with 10 ounces left. She also has a full 16-ounce jar of almonds.
Mrs. Lowery will have ＿＿＿ounces of almonds left over.
f(x)=6x-4 what is f(x)whence=8
Answer:
44
Step-by-step explanation:
Put 8 where x is and do the arithmetic.
f(8) = 6·8 -4 = 48 -4
f(8) = 44
i need help on this question
Answer:
1/2 or 0.5
Step-by-step explanation:
4x+8=10tothefirstpower x=1/2 or 0.5
What is the sum of the fractions? Use the number line to help find the answer. 3/5 + ( - 7/5) Answers: Wh Three-fifths + (Negative StartFraction 7 over 5 EndFraction A number line going from negative 2 to positive 2 in increments of one-fifth. Negative 2 Negative four-fifths Four-fifths 2
Answer:
[tex]\frac{-4}{5}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} - \frac{7}{5} = \frac{3-7}{5} = \frac{-4}{5}[/tex]
The sum of the fractions is -4/5.
What is a number line?The real numbers arranged in order on a geometric line form a number line. The points on the geometric line represent real numbers.
On the number line, the addition of a positive number a to a number b moves the point at b to the right by a units.
The addition of a negative number -a to a number b moves the point at b by a units to the left.
The point H in the diagram is at the number 3/5, third stick to the right of 0.
Adding -7/5 to 3/5 means moving the point H to the left by 7 sticks. Doing so we find the point at -4/5 as shown in the figure.
The final position of the point after addition is -4/5.
The value of 3/5 - 7/5 is, thus, -4/5.
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I'm very confused as to what the pattern even is, to me I just see a bunch of shapes and numbers. Could any of you help?
Does this table represent a function? Why or why not?
Answer:
B
Step-by-step explanation:
Yes because every x value corresponds to exactly one y value.
Answer: B
Step-by-step explanation: The basic idea of a function is you put in some value for x and you get out something for y.
So for a table to be a function, each x term
needs to corresponds to exactly one y-term.
So yes, every x-value corresponds to exactly one y-value.
A common mistake would be to say that this is not a function
because the y-value of 3 repeats twice.
However, that's ok because you don't get
different y-values for the same x.
The area of a parallelogram is 65 ft square. What is it height?
(The base is 13 ft)
Answer:
5
Step-by-step explanation:
Area equals bh
So 65 divided by 13
Answer:
h = 5 ft
Step-by-step explanation:
The area of a parallelogram is
A = bh
65 = 13h
Divide each side by 13
65/13 = 13h/13
5 = h
What’s the correct answer for this? Select all the ones that apply
Answer:
C and E
Step-by-step explanation:
ANP = BNP = 90 WILL PROVE THAT CD IS PERPENDICULAR TO AB.
A=b.h,for h V=3k+2,for k
Answer:
see explanation
Step-by-step explanation:
Given
A = bh ( isolate h by dividing both sides by b )
[tex]\frac{A}{b}[/tex] = h
-----------------------------
Given
V = 3k + 2 ( subtract 2 from both sides )
V - 2 = 3k ( divide both sides by 3 )
[tex]\frac{V-2}{3}[/tex] = k
The triangle shown below has an area of 444 units^2 2 squared. Find the missing side.
Answer:
2 units
Step-by-step explanation:
khan
Answer:
[tex]\boxed{\tt x=2\: units}[/tex]
Step-by-step explanation:
First, we need to set up an equation using the formula for the area of a triangle.
[tex]\boxed{\tt Area=\cfrac{1}{2} \times \: base\times height}[/tex]
Given:
Area: 4
Base: x
Height: 4
____________________
[tex]\tt 4=\cfrac{1}{2} \times\: x\times4[/tex]
[tex]\longmapsto\tt 4=2x[/tex]
Divide both sides by 2:
[tex]\longmapsto\tt \cfrac{4}{2}=\cfrac{2x}{2}[/tex]
[tex]\longmapsto\tt x=\cfrac{4}{2}[/tex]
[tex]\longmapsto\tt x=2[/tex]
Therefore, the missing side is 2 units.
____________________________
smplify the following algebraic expression: 6(2y + 8) - 2(3y - 2)
Answer:
6y +52
Step-by-step explanation:
6(2y + 8) - 2(3y - 2)
Distribute
12y + 48 - 6y +4
Combine like terms
6y +52
Suppose the number of defects in a sweater from a population of sweaters produced from a textile factory are normally distributed with an unknown population mean and a population standard deviation of 0.06 defects. A random sample of sweaters from the population produces a sample mean of x¯=1.3 defects. What value of z should be used to calculate a confidence interval with a 95% confidence level? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576
Answer:
Z = 1.96.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
The value of z that should be used is Z = 1.96.
ANYONE WHO ANSWERS THIS GETS BRAINIEST!! THANK YOU!!! :)
When adding 24.72 to a certain number, the sum is 28.42, as seen below. What number should go in the box to complete the addition problem? (The little box with the question mark is the missing number.)
THIS IS THE BOX:
24.72
+ [?].7
= 28.42
ANSWERS:
A: 2
B: 3
C: 11
D: 14
All answers are appreciated.
Answer:
B;3
Step-by-step explanation:
That is because to complete the box you need the sum to subtract from one of the addends to be able to find the other and
28.42-24.72=3.7
Hope this helps:)
The missing number is 3.
What are mathematical operatiors?In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:
Operands: The numbers used in an operation are called operands. Depending on the type of operation, different terms are applied to the operands.
Operator: An operator is the sign used to represent a mathematical operation, such as + for addition, subtraction, multiplication, and division.
Given adding certain number to 24.72 gives 28.42
24.72 + [?].7 = 28.42
let the number be x + .7
equation is
24.72 + x +.7 = 28.42
x = 28.42 - 0.7 - 24.72
x = 3
Hence 3 is the missing digit.
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