Answer:
4/663
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Since we are to draw from a pack of card, the total outcome will be 52
Since there are 4 hearts;
Pr(selecting heart) = 4/52 = 1/13
If a club is then selected without replacement, the total number of card remaining will be 51;
Pr(selecting a heart) = 4/51
probability of drawing a heart and a club in that order = 4/52 * 4/51
probability of drawing a heart and a club in that order = 16/2652
probability of drawing a heart and a club in that order = 4/663
Answer this please:
Look at the image and answer the question.
Answer:
hope it helps...........Mr. Poppen joins a fitness club which has a cost represented by the function y = 10x + 70. Mrs. Zagorski joins a fitness club which has a cost represented by the function given by the ordered pairs: (0, 50), (1, 60), (2, 70), (3, 80). Who pays more initially, just to join the club?
Using the given function and the ordered pairs, we observed that Mr. Poppen pays more initially, to join the club
Calculating the initial costFrom the question, we are to determine who pays more initially to join the club between Mr. Poppen and Mrs. Zagorski
From the given information,
"Mr. Poppen joins a fitness club which has a cost represented by the function y = 10x + 70"
The initial amount paid by Mr. Poppen is the value of y when x is 0
y = 10x + 70
y = 10(0) + 70
y = 0 + 70
y = 70
From the given ordered pairs
(0, 50)
(1, 60)
(2, 70)
(3, 80)
We can conclude that the initial amount paid by Mrs. Zagorski is 50
Hence, Mr. Poppen pays more initially
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a tee junction occurs when a connection meets an existing pipe of header at what angle? A 180 degree, B 30 degree, C. 90 degree, D.45 degree
Tee welding joints are formed when two members intersect at a 90-degree angle that makes the edges come together in the center of a plate or component
Parallel, intersecting, and perpendicular
The conditions of the line to be intersecting, parallel, and coincident are explained below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The types of lines are as follows:
If the slope of the lines is different, then the lines are intersecting lines.If the slope of the lines is the same but the y-intercept of the lines is different, then the lines are parallel lines.If the slope and y-intercept of the lines are the same, then the lines are coincident lines.More about the linear equation link is given below.
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probability...
a spinner has an equal chance of landing on either red, blue, green, or yellow. You spin five times. What is the probability that spinner lands on yellow exactly two times
Answer:
[tex]\frac{27}{1024}[/tex]
Step-by-step explanation:
So the chance of getting yellow is 0.25
Getting it once is 0.25
Getting it twice is 0.25 • 0.25
Not getting it is 0.75
So we have 0.25 • 0.25 • 0.75 • 0.75 • 0.75 = [tex]\frac{27}{1024}[/tex]
Estimate a 15% tip on a dinner bill of $49.35 by first rounding the bill amount to the nearest ten dollars.
Answer:
$7
Step-by-step explanation:
Answer:
pretty sure its 7
Step-by-step explanation:
Suppose a young couple deposits $1000 at the end of each quarter in an account that earns 7.6%, compounded quarterly, for a period of 8 years. After the 8 years, they start a family and find they can contribute only $200 per quarter. If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, how much will they have in the account (to help with their child’s college expenses)?
If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, the future value in the account to help with their child's college is $215,293.42.
How the future value is computed?The future value for this investment is computed in two separate solutions.
We have used an online finance calculator to facilitate the process.
The future value denotes the present deposits compounded at an interest rate.
Initial Deposits:
N (# of periods) = 32 quarters (8 years x 4)
I/Y (Interest per year) = 7.6%
PV (Present Value) = $0
PMT (Periodic Deposit) = $1,000
Results:
FV = $43,489.87
Sum of all periodic payments = $32,000.00
Total Interest = $11,489.87
Subsequent Deposits:
N (# of periods) = 76 quarters (19 years x 4)
I/Y (Interest per year) = 7.6%
PV (Present Value) = $43,489.87
PMT (Periodic Payment) = $200
Results:
Future Value (FV) = $215,293.42
Sum of all periodic payments = $15,200 ($200 x 76 quarters)
Total Interest = $156,603.55
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Square ABCD has a side length of 10 centimeters. Find the area of the square. Type a numerical answer in the space provided. Do not include units or spaces in your answer.
Answer:
100
Step-by-step explanation:
Multiply two of the side lengths
10×10 = 100
The scatter plot shows the number of chin-ups and push-ups completed by a sample of fourth grade students.
What is the median number of chin-ups for all students?
Student Name
Label
Number of Chin-ups and Push-ups
10-
9
А
B
H
B
8
Jared
Tonya
Alex
Rishab
L
D
G
с
7-
F
D
K к
Gao
E
E
А
с
F
Riki
Anne
5-
4-
3
2-
G
Amira
H
12
/
Samuel
Lily
0
J
1
6
8
9
10
Abdu
K
2
Chin-ups
Mike
Answer:
9
Step-by-step explanation:
One did 10,one did 9, and 1 did 8 and 9 is the median number of those 3 numbers.
Answer:
Abdu, Tonya, Gao, Lily, Mike, Rishab
Step-by-step explanation:
A cake recipe calls for 2 1/3 cups of flour. If Gloria is planning on making 6 cakes for a bake sale, how many cups of flour will she need?
Answer: Gloria will need 14 cups of flour
Step-by-step explanation: 2 1/3 x 6 = 14
can someone please help me with this math question?
9514 1404 393
Answer:
D. 0, 1, or 2 solutions
Step-by-step explanation:
The line represented by g(x) may intersect the parabola represented by f(x) in 0, 1, or 2 places, as illustrated in the attachment. The curves are different shapes, so cannot overlap to give infinite solutions.
The system may have 0, 1, or 2 solutions.
An Item costs $450 Before tax. and the sales tax is $31.50
Find the sales tax rate. Write your answer as a percentage
The tax rate of an Item that costs $450 Before tax. and the sales tax is $31.50 is 7%
What is tax rate?The tax rate is the percentage of an income or an amount of money that has to be paid as tax.
To find the tax rate of $31.50 from $450
The formula is
Amount taxed/Principal amount x 100
= $31.50/$450 x100
=$3150/450
=7%
Hence, the tax rate is 7%
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Algebraic expressions
Delete the parentheses and reduce the similar terms
(2x -y² -2xy)-(xy -x -3y² -3x -8y²
Answer:
10y^2-3xy+6x
Step-by-step explanation:
A small box measures 8 in. by 10 in. by 3/4 in. high. Find the volume of the box.
Answer:
Step-by-step explanation:
60
8x10x3/4
Length of insect is 23mm and length of drawing is 85mm. So what is Magnification
Answer:
The magnification is the ratio of the size of the image to the size of the object. In this case, the length of the insect is the size of the object, and the length of the drawing is the size of the image.
To find the magnification, we can divide the size of the image by the size of the object:
Magnification = size of image / size of object
Plugging in the values, we have:
Magnification = 85mm / 23mm
Calculating, we find that the magnification is approximately 3.7. This means that the length of the drawing is 3.7 times the length of the insect.
Step-by-step explanation:
1+1+1+1=4
2+2+2+2=16
3+3+3+3=?
Answer:
12
Step-by-step explanation:
What is the domain of the function f(x)=√x?
Answer:
Interval: [0,∞), solution: x≥0.
Answer:
Domain: (0,+∞)
Step-by-step explanation:
negative numbers cannot have a square root taken unless your working with imaginary numbers.
A 3kg cart moving with a speed of 4m/s collides with a 1 kg cart at rest
The speed of the carts after collision is 3 m/s.
What is the velocity after collision?We have to note that in this case, we would need to apply the principle of the conservation of linear momentum. This implies that the momentum before collision would have to be the same as the momentum after collision.
Then we have;
Momentum before collision = Momentum after collision thus;
(3 * 4) + ( 1 * 0) = (3 + 1) v
Note that the two carts are said to stick together and move with a common speed
Hence;
12 = 4v
v = 12/4
v = 3 m/s
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Simplify the expression 3a² + 1/4a + 3 + a² + 4 + 1/4a
The Correct answer while simplifying the given algebraic expression is: 4a²+1/2a+7
What are Algebraic Expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Method to simplify any algebraic Expressions are :
By multiplying factors, remove any grouping symbols like brackets and parenthesis.If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.Add the constants togetherGiven:
=3a²+1/4a+3+a²+4+1/4a
=(3a²+a²)+(1/4a+1/4a)+(3+4)
=4a²+1/2a+7
So the Answer is
=4a²+1/2a+7
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Please help
Part A
Which is the vertex form of the function f(x) = 3x2 – 30x + 71?
O
A. 3(x - 5)2 - 4
B. 2(x – 6)2 - 1
C. 3(x – 4)2 + 23
D. 5(x – 4)2 – 9
Part B.
What is the vertex of the function?
vertex = (
Answer:
Option A:
y = 3*(x - 5)^2 - 4
Step-by-step explanation:
For a quadratic equation:
y = a*x^2 + b*x + c
with the vertex (h, k), we can rewrite the function as:
such that:
h = -b/2*a
y = a*(x - h)^2 + k
Here we have the function:
y = 3*x^2 - 30*x + 71
the x-value of the vertex will be:
h = -(-30)/(2*3) = 30/6 = 5
And k is given by:
k = y(5) = 3*(5)^2 - 30*5 + 71 = -4
Then the vertex is:
(5, - 4)
And we can rewrite the equation in the vertex form as:
y = 3*(x - 5)^2 + (-4)
y = 3*(x - 5)^2 - 4
Then the correct option is A.
graph f and h , write h in terms of f, describe the transformation from the graph of f to the graph of h .
the equation :
f(x) = 3x ; h(x) = 3x - 5
h(x) = f(x) + 5 represents a vertical shift of 5 units down from the graph of f(x) = 3x. The slope of the two lines is the same, but the y-intercept of h(x) is different from f(x).
What is the graph of the function?A graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of a function. It is a way to visualize the behavior of the function and its relation to the x and y axes.
Here,
We can draw the graph as
h(x) = 3x - 5 can be written in terms of f(x) by adding 5 to the output of f(x)
h(x) = f(x) + 5
The transformation from the graph of f(x) to the graph of h(x) is a vertical shift of 5 units down. This is because the original function f(x) is shifted down by 5 units to get h(x). The slope of the two lines is still the same, 3, but the y-intercept of f(x) is (0,0) and the y-intercept of h(x) is (-5/3,0). The transformation causes the graph of h(x) to be shifted down 5 units along the y-axis, while the slope and x-intercept of the graph remain the same.
Hence, h(x) = f(x) + 5 represents a vertical shift of 5 units down from the graph of f(x) = 3x. The slope of the two lines is the same, but the y-intercept of h(x) is different from f(x).
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The physician orders 150 mg/5 kg. The patient’s weight is 75 kg. How many grams of medication has the physician ordered?
Answer: 2.25 grams
Step-by-step explanation:
In this problem, we are given the ratio of grams to weight. Since we are trying to find how many grams to give to a person with a specific weight, we can use proportions to solve.
[tex]\frac{150mg}{5kg} =\frac{x}{75kg}[/tex] [cross multiply]
[tex]11250=5x[/tex] [divide both sides by 5]
[tex]x=2250mg[/tex]
We are almost done with the problem. The problem is asking for grams, not mg, so we can use unit conversions to change that.
[tex]\frac{1000mg}{1g}=\frac{2250mg}{y}[/tex] [cross multiply]
[tex]1000y=2250[/tex] [divide both sides by 1000]
[tex]y=2.25[/tex]
Therefore, we need to give 2.25 grams.
Using elimination, what is the solution to the following system?
2x+4y=16
-2x-3y=-13
Answer:
x=2, y=3. (2, 3).
Step-by-step explanation:
2x+4y=16
-2x-3y=-13
-----------------
y=3
2x+4(3)=16
2x+12=16
2x=16-12
2x=4
x=4/2
x=2
Rewrite 12x4y3 − 48x3y4 using a common factor.
Answer: 12x^3 y^3 (x − 4y)
(GCF is: 12x^3 y^3)
Step-by-step explanation:
This is the best I can do, sorry that I don't have an explanation.
find angle D thank you so much need help. geomtry
The angle m∠D of the triangle is 78 degrees.
How to find the angles of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The ΔKDT and ΔKPQ are isosceles triangle.
Isosceles triangle is a triangle that has two sides and angles equal to each other.
Therefore,
∠D + ∠T + ∠k = 180
∠D = 6x + 6
∠T = 6x + 6
∠K = 2x
Therefore,
6x + 6 + 6x + 6 + 2x = 180
14x + 12 = 180
14x = 180 - 12
14x = 168
divide both side by 14
x = 168 / 14
x = 12
Therefore,
m∠D = 6x + 6 = 6(12) + 6 = 72 + 6 = 78 degrees.
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HELP MEEEEEE 25 POINTS
Answer:
m arc 1 = 65°, m arc 3 = 129°, m ∠9 = 25.5°, m ∠ 10 = 57.5°
Step-by-step explanation:
m arc 1 => 180 - 115 = 65°
m arc 3 => 180 - 51 = 129°
m ∠9 => 51 ÷ 2 = 25.5°
m ∠ 10 => 115 ÷ 2 = 57.5°
A line has a slope of 3/8 and passes through the point (15.2,-7)
The equation of the line in point-slope form is???
ANSWERS↓↓
The linear equation can be written in point-slope form as:
y + 7 = (3/8)*(x - 15.2)
So the correct option is A.
How to get the linear equation?A linear equation with a slope M and a known point (h, k), can be written in the point-slope form as:
y - k = m*(x - h)
Here we know that the slope of the line is 3/8, then we get:
y - k = (3/8)*(x - h)
And we also know that this line must pass through the point (15.2, -7), then we know that:
h = 15.2
k = -7
Replacing these values we get:
y + 7 = (3/8)*(x - 15.2)
Thus the correct option is the first one, A.
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Shirt Prices
$50, $35, $48,
$31, $34
What is the median price of the five shirts?
Answer: 35 would be the median
Step-by-step explanation: Put the numbers in order and whichever one is the middle value is the median
Answer:
35
Step-by-step explanation:
The median is the middle price when listed from smallest to largest
31, 34, 35, 48, 50
The middle price is 35
The median is 35
What's the pattern of 1, 2, 4, 5, 7, 8, 10
Answer:
U add 1 then add 2 for each number
Answer:
+1 then +2
Step-by-step explanation:
We are given a sequence of 1, 2, 4, 5, 7, 8, 10 and are asked to find the pattern.
To solve, we need to see how much is being added into every single number.
1, 2
+1
2, 4
+2
4, 5
+1
5, 7
+2
We see that there is a repetition of +1 and then +2.
Therefore the pattern is +1 then +2
Find the slope of the line.
Answer:
line is negative, so -3/4
Step-by-step explanation: