Suppose you are going to draw two cards from a standard deck. What is the probability that the first card is an even card and the second card is Queen?
Answers
Answer:
0.0302
Explanation:
A standard deck has 52 cards in total, and 20 are even cards because each suit has a card for 2, 4, 6, 8, and 10. Additionally, there are 4 queens, so the probability that the first car is an even and the second car is a queen is
\(P=\frac{20}{52}\times\frac{4}{51}\)Because for the first card you have 20 possible options from the 52 and from the second card you have 4 options from the 51 cards remaining.
\(P=\frac{20\times4}{52\times51}=\frac{80}{2652}=0.0302\)So, the answer is 0.0302
Related Questions
simplify: 5^2 x 5^4
A, 5^8
B. 5 x 8
C. 5^2
D. 5^6
Answers
2+4=6, so the answer is
5^6
Hope this helped :)
Answer:
D. 5^6
Step-by-step explanation:
\(5^2*5^4\\5^2^+^4\\5^6\)
Triangle XYZ is rotated 90° counterclockwise about the origin to produce X'Y'Z'. What are the coordinates of X'Y'Z'?
Answers
Answer:
59
Step-by-step explanation:
6 plus 4 equals 8 plus 9
Identify the coordinates of each vertex of triangle XYZ.
Apply the 90° counterclockwise rotation rule, which states that when rotating a point 90° counterclockwise about the origin, the new coordinates of the point will be (-y, x).
Substitute the coordinates of each vertex into the rotation rule to find the coordinates of the corresponding vertex in X'Y'Z'.
For example, let's say that the coordinates of triangle XYZ are:
X = (2, 3)
Y = (-1, 4)
Z = (0, -2)
To find the coordinates of X'Y'Z', we can apply the rotation rule to each vertex as follows:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Therefore, the coordinates of X'Y'Z' after rotating triangle XYZ 90° counterclockwise about the origin are:
X' = (-3, 2)
Y' = (-4, -1)
Z' = (2, 0)
Note that the order of the vertices may change after the rotation, but the coordinates of each vertex will correspond to the same vertex in the original triangle.
Graph the line of the equation 5x−2y=0 using its slope and y-intercept
Answers
Slope=2.5
Y-intercept=0
9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?
Answers
Answer:
(a) Bako is 10 years old
(b) His mother was 30 years old when Bako was 5
(c) Bako will be 25 years old when his mother is 50
(d) Bako's mother was 25 years old when he was born
(e) The difference between Bako's age & his mother's is 25 years
Step-by-step explanation:
Let Bako's age five years ago be x years
Presently, Bako is 2x years old (according to the 1st statement)
Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.
This simply means that Bako's present age is BOTH 2x years & (x + 5) years.
We have to equate them since they mean the same thing (Bako's present age)
x + 5 = 2x
2x - x = 5
Therefore x = 5 years
Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.
This simply means that Bako's age now is 10 years old.
His mother was then six times 5 years = 30 years old (from the 2nd statement).
If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.
This simply means that Bako's mother is older than him with 25 years.
Therefore, Bako will be 25 years old when his mother is 50 years old
What system of equations is shown on the graph below? On a coordinate plane, 2 lines intersect around (1.8, negative 0.8). 2 x + y = 3 and 3 x minus 4 y = 8 2 x minus y = 3 and 3 x + 4 y = 8 2 x + y = 3 and 3 x minus 4 y = 2 2 x minus y = 3 and 3 x minus 4 y = negative 2
Answers
Answer:
The answer is 2x + y = 3 and 3x - 4y = 8
Step-by-step explanation:
Because I just took the test
Answer:
2 x + y = 3
3 x-4 y = 8
Step-by-step explanation:
Took test on Edge 2020
I don’t know how to solve this question just need some quick help
Answers
To factor the expression over the complex numbers, let's fin its roots, then we will be able to write it in the generic form of a factored polynomial as follows:
\((x-a)(x-b)\)Where a and b stand for the roots of the polynomial.
\(\begin{gathered} x^2+50=0\to x^2=-50 \\ \to x_{1,2}=\pm\sqrt[]{-50} \\ x_1=i\sqrt[]{50} \\ x_2=-i\sqrt[]{50} \end{gathered}\)From this, we can rewrite the polynomial as follows:
\(x^2+50=(x+i\sqrt[]{50})(x-i\sqrt[]{50})\)Which number line represents the solution to
W - 2 < 8 ?
Answers
Answer:
w<10
number - A
(<) means "open circle to the left."
Let W1 be the set: Determine if W1 is a basis for R3 and check the correct answer(s) below. O A. W1 is not a basis because it does not span R3. O B. W1 is a basis. O C. W1 is not a basis because it is linearly dependent.
Answers
The set W1 could be a basis for R3 if it spans R3 and is linearly independent, but without the specific elements of W1, it's not possible to determine if it meets those criteria.
The specific elements that make up the set W1. However, I can tell you that to be a basis for R3, a set of vectors must meet two criteria:
The set must span R3, meaning that any vector in R3 can be written as a linear combination of the vectors in the set.The set must be linearly independent, meaning that no vector in the set can be written as a linear combination of the other vectors in the set.So, depending on the specific elements of W1, it could be either A, B, or C.
If the set W1 doesn't span R3, it would be A.
If the set W1 is linearly dependent, it would be C.
If both conditions are met the set is a basis, so the answer would be B.
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Which of the following could be the lengths of the three sides of a triangle?
A.1 cm, 2 cm, 3 cm
B.3 in., 3 in., 7 in.
C.4 ft, 8 ft, 12 ft
D.5 cm, 7 cm, 9 cm
Answers
its b
Step-by-step explanation:
cuz to sides are the exact same then one side is bigger than the others :)
What is the solution to the equation?
3(x + 9) ^ 3/4 = 24
A.-3
B.6
C. 7
D.25
Answers
All of the following ordered pairs satisfy the function rule y = -2x - 1 except _____.
(-2, 3)
(0, -1)
(-1, -3)
(2, -5)
Answers
Answer:
im going to say (2, -5)
Step-by-step explanation:
For the third week of April, Patricia Thomas worked 53 hours. Patricia earns $11.90 an hour. Her employer pays overtime for all hours worked in excess of 40
hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the third week of April (round your responses to the nearest cent if necessary):
1. Regular pay amount
2. Overtime pay
3. Gross pay
Answers
Given statement solution is :- For the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.
Regular Pay:
Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:
Regular Pay = Regular Hours x Hourly Rate
Regular Pay = 40 hours x $11.90/hour
Regular Pay = $476
Overtime Pay:
Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.
Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)
Overtime Pay = 13 hours x ($11.90/hour x 1.5)
Overtime Pay = 13 hours x $17.85/hour
Overtime Pay = $231.45
Gross Pay:
Gross Pay is the sum of Regular Pay and Overtime Pay.
Gross Pay = Regular Pay + Overtime Pay
Gross Pay = $476 + $231.45
Gross Pay = $707.45
Therefore, for the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
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Simplify 8 to the 3rd power
Answers
Answer: 512
Step-by-step explanation: 8 x 8 x 8 = 512 (8x8=64, 64x8=512)
Hope this helps!
Mark Brainliest if you want!
Answer:
512
Step-by-step explanation:
\( 8^3 = 8 \times 8 \times 8 = 64 \times 8 = 512 \)
Quadratic functions 30pt
Answers
Answer:
y= -x -3
Step-by-step explanation:
A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).
Let's find the slope of the line segment.
\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }slope=x1−x2y1−y2
Slope of line segment
= \frac{4 - ( - 8)}{5 - ( - 7)}=5−(−7)4−(−8)
= \frac{4 + 8}{5 + 7}=5+74+8
= \frac{12}{12}=1212
= 1
The product of the slopes of 2 perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
m(1)= -1
m= -1
y= -x +c
To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.
Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.
\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}midpoint=(2x1+x2,2y1+y2)
Midpoint of line segment
= ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )=(25−7,24−8)
= ( \frac{ - 2}{2} , \frac{ - 4}{2} )=(2−2,2−4)
= (-1, -2)
y= -x +c
When x= -1, y= -2,
-2= -(-1) +c
-2= 1 +c
c= -2 -1
c= -3
Thus, the equation of the perpendicular bisector is y= -x -3.
Which expression is a prime polynomial
Answers
What are the expressions?
Question 14 (essay worth 12 points)
(writing two step equations HC)
Given the equation 6x + 18 = 72:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
Answers
A. Ram spent $18 on six pens and six books. The grand total is $72.
B. The cost of each pen is $9.
C. The variable is called x.
What is an equation?
A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).
Here, we have
Given: the equation 6x + 18 = 72:
A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.
B. The following equation will be used to demonstrate this:
6x + 18 = 72
Compile similar terms.
6x = 72 - 18
6x = 54
On dividing,
x = 54 / 6.
x = $9
Hence, each pen will set you back $9.
C. The variable's value is x = 9.
Hence, the pen's price is 9.
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if f(x)=2x2+5 then f(-3)=
Answers
The function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
We are given the function:
f ( x ) = 2 x² + 5
We need to find the value of f ( -3 ).
We will do this by substituting the value of x = - 3 in the function and then evaluating the expression.
Putting x = -3 in the function, we get that:
f ( x = - 3 ) = 2 (- 3)² + 5
Solving the square, we get that:
f (- 3) = 2 ( 9 ) + 5
Simplifying the expression, we get that:
f (- 3) = 18 + 5
f (- 3) = 23
Therefore, we get that, the function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
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Question Details
What is the slope of a line that passes through the
points (-2, 12) and (-6, 8)?
Answers
Answer:
m = 1
Step-by-step explanation:
Use the given points to solve the slope formula.
(-2, 12) (-6, 8)
\(m=\frac{y2-y1}{x2-x1}\)
m is the slope, x is the first number in the given point, and y is the second. (It doesn't matter which point you choose to be x1,y1 or x2,y2)
\(m=\frac{8-12}{-6-(-2)}\) (subtracting negative cancels out and becomes adding a positive)
\(m=\frac{-4}{-4}\) (the negatives cancel out and become positive)
m = 1
A rectangle is 1/2 red, 1/5 green and 1/10 blue. The rest is yellow. What ratio of the rectangle is yellow? PLEASE HELP
Answers
PLEASE HELP IM BEING TIMED
Which equation results from adding the equations in this system?
-8x+8y = 8
3x-By=-18
A: 5X=-10
B: 5x = 26
C: -5X = 26
D: -5x=-10
Answers
Step-by-step explanation:
You have miscopied the second equation as it contains a third variable B when there isn't a B in the answers.
Please correct it for assistance
This is due in like a hour please help!
Answers
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
f (-10) = ?
Evaluate piecewise functions
Answers
Answer:
f(- 10) = 150
Step-by-step explanation:
f(- 10) with t = - 10 corresponds to t ≤ - 10 with f(t) = t² - 5t , then
f(- 10) = (- 10)² - 5(- 10) = 100 + 50 = 150
for t=-10
f(t)=t²-5tSo
f(-10)
(-10)²-5(-10)100+50150The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answers
Answer:
The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:
standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7
To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:
z = (37.4 - 40) / (8 / 7) = -1.225
Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.
give thanks, your welcome <3
Step-by-step explanation:
im really stumped on this question
first person to answer gets 44 points
Answers
Step-by-step explanation:
Number of total boxes = 6
Number of boxes sold each day= 1/2
Number of days to cover 6 boxes = 6/1/2= 6×2 = 12
State whether each situation has independent or paired (dependent) samples. a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 women, and measures their hand–eye coordination. b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without
Answers
Answer:
a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 women, and measures their hand–eye coordination = paired samples
b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without tenure. = independent samples
Explanation:
Paired-samples t tests compare scores on two different variables but for the same group of cases; independent-samples t tests compare scores on the same variable but for two different groups of cases.
Over the last three evenings, Teresa received 90 phone calls at the call center. The first evening, she received 6 fewer calls than the second evening. On the third evening, she received 2 times as many calls as the second evening. How many phone calls did she receive each evening?
Answers
Answer:
In order: 18, 24, 48
Step-by-step explanation:
Let the number on the three evenings be a, b, and c, in order.
a + b + c = 90
a = b - 6
c = 2b
b - 6 + b + 2b = 90
4b - 6 = 90
4b = 96
b = 24
a = b - 6 = 24 - 6 = 18
c = 2b = 2(24) = 48
In order: 18, 24, 48
Help me please I need help x^2 - 8x + 16
Answers
The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.
The given trinomial is x²-8x+16.
Factors of 16 Sum of factors
-1 and -16 -1+(-16)=-17
-2 and -8 -2+(-8)=-10
-4 and -4 -4+(-4)=-8
The set of factors would used to factor the trinomial are -4 and -4.
Therefore, option C is the correct answer.
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Please
Help me I don't get this!
Answers
6:4 = 1.5
So if 12 = 1.5 (?)
The (?) = 8
A triangular window has an area 240 square feet and height 16 feet. What is its base?
Answers
Answer:
30 feet
Step-by-step explanation:
Area of a triangle = bh/2
A = bh/2
240 = b(16)/2
480 = (16)b
30 = b
Base = 30 feet
I hope this helps!
Answer:
30 ft
Step-by-step explanation:
Formula to find the area of a triangle is :
Area = \(\frac{1}{2}\) × base × height
Given that,
Area of the triangle = 240 ft²
Height = 16 ft
Base = ??
Let us find now.
Area = \(\frac{1}{2}\) × base × height
240 = = \(\frac{1}{2}\) × b × 16
240 × 2 = 16b
480 = 16b
Divide both sides by 16.
30 ft ⇒ base
please help 10 point reward
Answers
ANSWER: I can give you the steps to figure out this question.
1 if it is starting at the 6 on the y axis, then just do up 1 over 1 until you get to the 10
The answer to your question is..... 6y+1=4x+10