Using it's concept, it is found that there is a [tex]\frac{3}{4}[/tex] probability that the red die shows an even number or the green die shows an even number.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A die has six sides, of which three are even and three are odd, hence:
P(A) = 3/6 = 1/2.P(B) = 3/6 = 1.2.P(A and B) = P(A)*P(B) = 1/4.The "or probability" is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Hence:
[tex]P(A \cup B) = \frac{1}{2} + \frac{1}{2} - \frac{1}{4} = \frac{3}{4}[/tex]
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Which of the following ordered pairs is a solution to the following equation: y= -4x 2 squared:
Choices:
A.) (-2,16)
B.) (1, -8)
C.) 0, -4)
D.) 2, -16)
Please Hurry! I need the answer!!!
Answer:
D. (2, -16)
Step-by-step explanation:
The given function is:
[tex]y=-4x^2[/tex]
when x=2, we substitute 2, wherever we see x to find the corresponding y-value of x=2.
This implies that:
[tex]y=-4(2)^2[/tex]
[tex]y=-4\times 4[/tex]
[tex]y=-16[/tex]
The correct choice is D
Jesse bought 10 more pencils than erasers. A pencil costs $0.15 and an eraser costs $0.22. He paid a total of $4.46. How many erasers did Jesse buy?
“Jesse bought 10 more pencils than erasers” means P = 10 + E
“A pencil costs $0.15” means that $0.15*P was spent on pencils
“an eraser costs $.22” means that $0.22*E was spent on erasers
“He paid a total of $4.46” means that $0.15*P + $0.22*E = $4.46
15*(10+E) + 22*E = 446
150 + 37E = 446
37E = 296
E = 8 Jesse bought 8 erasers
Jesse bought 8 erasers. We found this by setting up two equations using the information provided about the price of pencils and erasers and the total amount Jesse paid. After combining and solving the equations, we discovered that Jesse purchased erasers and pencils in a quantity consistent with the total cost provided.
Explanation:To determine how many erasers Jesse bought, we need to set up a system of equations based on the given information:
Let e be the number of erasers Jesse bought. Then he bought e + 10 pencils.A pencil costs $0.15 and an eraser costs $0.22.The total amount paid for pencils and erasers is $4.46.We can express this as two equations:
0.15(e + 10) + 0.22e = 4.46 (Total cost equation)e + 10 (Number of pencils bought)Solving for e (number of erasers):
0.15e + 1.5 + 0.22e = 4.46(0.15 + 0.22)e = 4.46 - 1.50.37e = 2.96e = 2.96 / 0.37e = 8Jesse bought 8 erasers.
A rectangular garden is 8 feet wide and 15 feet long. A diagonal path cuts through the entire garden. How long is the path?
Answer:
23
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
the combined area of two squares is 45 cenimeters. Each side of one square is twice as long as a side of the other square. What is the length of each side of the larger square
The side length of one square would be X, then the side of the second square would be 2X ( twice as long as the first one.)
Area of a square is side x side
The area of the first square would be x times x which becomes x^2.
The area of the second square would be 2x x 2x , which becomes 4x^2.
Now the sum of the two equals 45.
Now you have x^2 + 4x^2 = 45
Simplify to get:
5x^2 = 45
Divide both sides by 5:
x^2 = 45/5
x^2 = 9
Take the square root of each side:
x = √9
x = 3 cm.
The first square has side length x = 3 cm.
The second square was 2x = 2 *3 = 6 cm.
The PTA is holding a raffle. The prize is a camera worth $200. Each raffle ticket costs $5. One hundred tickets are sold and a winner is drawn at random. Find the expected value of the purchase of a ticket.
Answer: -$3.00
Step-by-step explanation:(1/100)(200-5)-(99/100)5= -$3.00/ticket
I really hope this helps. So sorry if it doesn't
Answer:
Expected value of the purchase of a ticket would be $3.00.
Step-by-step explanation:
The PTA is holding a raffle. Each raffle ticket costs $5.00.
The prize is a camera worth $200.
One hundred tickets are sold = 100 × 5 = $500.00
winner is drawn and given the prize of worth $200.
$500 - $200 = $300
So the expected value of the purchased ticket = [tex]\frac{300}{100}[/tex] = $3.00
Expected value of the purchase of a ticket would be $3.00.
Oml plz help!
The sixth grade band students are selling magazines to raise money for new instruments. As a reward for selling, the students earn points to spend on prizes. Each student gets 25 points to start with, and then they earn an additional 5 points for each magazine they sell. One student sold enough magazines to earn 100 points. Use your expression from the previous question to determine how many points the student will have left after spending 64 points on prizes.
Answer:
the students must have sold 15 magazines
he will have 36 left
Step-by-step explanation:
I need help with this.....
Answer:
27 years old
Step-by-step explanation:
let Sydney's age be x, then
Devaughn's age is 3x ( three times Sydney's )
The sum of their ages is 108, thus
x + 3x = 108
4x = 108 ( divide both sides by 4 )
x = 27
Sydney is 27 years old
Answer:
I think it would be 27
Identify the denominator in the following radical .
There is no exercise. I cannot answer it without an exercise.
Determine the type of boundary line and shading for the graph of the inequality 3x + y greater than or equal to 10.
answer choices
Dashed line with shading on the side that includes the origin
Solid line with shading on the side that does not include the origin
Dashed line with shading on the side that does not include the origin
Solid line with shading on the side that includes the origin
Answer: second option
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
Rewrite the expression as:
[tex]3x+y=10[/tex]
Solve for "y":
[tex]y=-3x+10[/tex]
You can identify that:
[tex]m=-3\\b=10[/tex]
Therefore, the line intersects the y-axis at the point (0,10)
For the graphs of inequalities with [tex]\geq\ and\ \leq[/tex] the line must be solid.
The inequality given is [tex]3x+y\geq 10[/tex] and it can be written as [tex]y\geq -3x+10[/tex]
Then, the shaded region must be above the solid line. Therefore it does not include the origin (Observe the graph attached).
Answer:
i agree with the second option
Step-by-step explanation:
The key idea of the transformation called a reflection is the rotating of a plane about a fixed point.
Answer:
FALSE!
Step-by-step explanation:
a refelction is just that! a refelction of the image across the x or y axis.
A $78.00 pair of shoes cost $84.63 after tax is added. What percentage of the cost is tax?
Answer:
The percent of the cost tax is:
8.5%
Step-by-step explanation:
Cost of shoe before tax= $ 78
Cost of shoe after tax= $ 84.63
This means that the cost of tax is:
Cost of shoe after tax-cost of shoe before tax
= $ 84.63-$ 78
= $ 6.63
Now, the percent of tax is calculated as:
[tex]Percent\ tax=\dfrac{Cost\ of\ tax}{Cost\ of\ shoe\ before\ tax}\times 100\\\\\\Percent\ tax=\dfrac{6.63}{78}\times 100\\\\\\Percent\ tax=8.5\%[/tex]
Hence, the percent tax is:
8.5%
2 and one half cakes are divided up into 18 pieces for guests how much cake will each person get
Well if you were to do 18 ÷ 2 it would be 8. But since this is 8 and a half let's use 2.5. So, let's do this.
18 ÷ 2.5 = 7.2.
But since cake can't be exactly that we can estimate to 7 since it is the closest so, the answer is 7 pieces of cake.
For the expression 6 − y + 3, determine the coefficient for the variable term. (2 points) −1 0 3 6
ok well the simplified equation would be -y+9 so the coefficient front the variable term would be -1 because there is an implied 1 in front of the variable but it is negative because of the negative sign.
Answer:
-1
Step-by-step explanation:
The only variable term in 6 − y + 3 is y, and the coeff. of y is -1 (first possible answer).
A company designs a logo using a kite figure around the letter t. The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo? 48 sq. cm 96 sq. cm 144 sq. cm 192 sq. cm
Answer:
96 sq.cm.
Step-by-step explanation:
area =16*12/2
are= 192/2 = 96
The area of the logo = area of kite = 96 sq. cm
What is the Area of a Kite?Area of a kite = 1/2(product of its diagonals).
Thus:
The logo in form of Kite has the following diagonals measuring 12 cm and 16 cm.
Therefore:
Area of a kite = 1/2(12)(16)
Area of a kite = 1/2(192)
Area of a kite = 96 sq. cm
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Zach has a z-score of -1.5
What is his height in inches
Multiply the z-score by the standard deviation:
2 x -1.5 = -3
Now add that to the mean:
49 + -3 = 46 inches.
Answer:
Mean = 49 inches
Standard deviation = 2 inches
Z Score for the Distribution = -1.5
Formula for , Z Score
[tex]Z_{score}=\frac{X-\mu}{\sigma}\\\\ -1.5 =\frac{X- 49}{2}\\\\ X-49 = -1.5 \times 2\\\\ X= 49 -3\\\\ X=46[/tex]
So, Height in inches = 46 inch
what are absolute values of 12
Answer:
|12| = 12Step-by-step explanation:
Definition of absolute value:
|a| = a if a ≥ 0
|a| = -a if a < 0
Examples:
|2| = 2
|-2| = -(-2) = 2
|0.45| = 0.45
|-0.45| = -(-0.45) = 0.45
|1000| = 1000
|-1000| = 1000
Therefore
|12| = 12
A baker made a birthday cake in the shape of a rectangular pyramid she decorated the lateral faces of the cake with blue and purple icing how many faces of the pyramid fid she decorate
Answer:
She decorated 4 faces.
Explanation:
A rectangular pyramid has 5 faces in total. There are 4 lateral faces and a base. If the baker only decorated the lateral faces, then she decorated 4 faces.
Rectangular Pyramid:
I need the heeelllppppsssss
Answer:
21.75
Step-by-step explanation:
If A onto B is 1 : 7.25 then you would do A times 7.25 to find the corresponding side. 3 times 7.25 is 21.75
that answer is correct ^^
find the volume of the prism.
a) 1728 cu. in.
b) 864 cu. in.
c) 288 cu. in.
The volume of prism is 1728 cu. in.(Option a)
How to find volume of prism?A prism is a geometric 3-D shape which is named by its shape of base, In a prism, base and its opposite face are same.
For example: Given here is a cubic prism and a shape with triangle as a base is a triangular prism.
Prism given here is also known as cube.
The volume of the cube is given by :
Side*Side*Side where side is the length of side of the base square.
Here side=12 inches
Volume of cube is given by the formula,
Volume=[tex]a*a*a[/tex]
Where a is edge of the cube.
We are given edge of cube as 12 inches
Plugging the value of edge in given formula:
Volume=[tex]12*12*12[/tex]
Volume = 1728 cubic inches.
Volume of cube is 1728 cubic inches.
Therefore, the volume of prism is 1728 cu. in
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Circle A is tangent to circle B.
True
False
Answer:
false
Step-by-step explanation:
tangent always touch to the circle
so....
Answer:
False
I got it right!!
Step-by-step explanation:
Which of the following represents the area of a rectangle whose length is 5x
Answer:
the answer is 5x.
Step-by-step explanation:
There is no width to compare it with, so it will therefore be only 5x.
6 years ago, the sum of jeremy, quan, karen, and randy’s age was 20. find their total age now.
Answer:
Step-by-step explanation:There's 4 people so you would multiply 6×4=24 and now add 20+24=48
30, because there are 4 people and their total age is 20 divide it by 4 you get 5 then you multipy by 6 to find their ages.
Give one real word example for the following: perimeter, area, volume.
Answer:
perimeter of a children's playground, area of a house, volume of a glass of orange juice.
Step-by-step explanation:
Certainly! Here are some real-world examples for each of the geometric concepts:
**Perimeter**: The perimeter is the total distance around the edge of a two-dimensional shape. A real-world example of perimeter would be the total length of fencing required to enclose a backyard garden. If you wanted to put a fence around your garden and your garden is a rectangle, you would measure the lengths of all four sides and add them together to find out how much fencing you need.
Area: Area refers to the size of a surface. It is measured in square units (like square meters, square feet, etc.). A real-world example of area could be the amount of paint needed to cover a basketball court. If you wish to repaint the surface, you need to calculate the area of the court to determine how much paint to buy. The area is the product of the length and the width of the basketball court.
**Volume**: Volume measures the amount of space within a three-dimensional object; it is expressed in cubic units (like cubic meters, cubic inches, etc.). A real-world example of volume is the amount of water needed to fill a swimming pool. To determine how much water you need, you would calculate the volume of the pool by multiplying the pool's length, width, and depth. The result would tell you how much water is required to fill the pool to the brim.
The value of log a(30a)^3
Answer:
8.6
Step-by-step explanation:
Express this equation in logarithmic form. y = 10^x
X=
For this case we must find the value of the variable "x" of the following equation:
[tex]y = 10^{x}[/tex]
We rewrite the equation as:
[tex]10 ^ {x} = y[/tex]
We take the logarithmic base 10 from both sides of the equation to remove the variable from the exponent.
[tex]log (10 ^ {x}) = log (y)\\x (log (10)) = log (y)[/tex]
The logarithmic base 10 of 10 is 1.
[tex]x * 1 = log (y)\\x = log (y)[/tex]
ANswer:
[tex]x = log (y)[/tex]
The expression 9x represents the number of miles Allison hiked, and 4x + 5 represents the number of miles that Adrian hiked in x days. Write an expression to show how many more miles Allison hiked than Adrian.
Question 7 options:
5x – 5
–5x + 5
5x + 5
13x + 5
For this case we have that Allison traveled 9x miles, while Adrian traveled 4x + 5 miles. The variable "x" represents the number of days.
We want to know how many miles of Allison toured Adrian, for this we subtract:[tex]9x- (4x + 5) =[/tex]
We take into account that:[tex]- * + = -[/tex]
[tex]9x-4x-5 =\\5x-5[/tex]
ANswer:
[tex]5x-5[/tex]
Answer:
Expression to show how many more miles Allison hiked than Adrian is:
5x-5
Step-by-step explanation:
Number of miles Allison hiked = 9x
Number of miles that Adrian hiked = 4x+5
Miles Allison hiked more than Adrian
= 9x-(4x+5)
=9x-4x-5
=5x-5
Hence, expression to show how many more miles Allison hiked than Adrian is:
5x-5
The cruising speed of a Boeing 747 is 250 m/s.At this rate what distance does it travel in one minute?
Answer:
15,000m or if you want it in km it is 15km
Step-by-step explanation:
1 minutes = 60 seconds
250 × 60 = 15,000 m
Answer:
15,000 m.
Step-by-step explanation:
There are 60 seconds in one minute.
Therefore the distance the plane travels in one minute = 250*60
= 15,000 m answer.
simplify expression 49 with an exponent of 1/2
The answer is:
The simplified form of the given expression is 7.
[tex]49^{\frac{1}{2}}=\sqrt[2]{49^{1}}=\sqrt[2]{49}=7[/tex]
Why?To simplify the given expression, we must remember the following property of roots:
[tex]a^{\frac{m}{n}}=\sqrt[n]{a^{m} }[/tex]
We are given the expression:
[tex]49^{\frac{1}{2}}[/tex]
Which can be also written as:
[tex]49^{\frac{1}{2}}=\sqrt[2]{49^{1}}=\sqrt[2]{49}[/tex]
Then, simplifying we have:
[tex]\sqrt[2]{49}=7[/tex]
Hence, the simplified form of the given expression is 7.
Have a nice day!
Answer: 7
Step-by-step explanation: To simplify [tex]49^{1/2}[/tex], it's important to understand that an exponent of 1/2 means that we take the square root of the base. In other words, [tex]49^{1/2}[/tex] means the same thing as the square root of 49 or [tex]\sqrt{49}[/tex] and the square root of 49 is 7.
This means that [tex]49^{1/2}[/tex] is 7.
Which answers is it a b or c
Answer:
B
Step-by-step explanation:
Use the equation for the area of a parallelogram.
[tex]A=bh[/tex]
Now solve for [tex]h[/tex].
[tex]h=\frac{A}{b}[/tex]
Plug in.
[tex]h=\frac{450}{15}[/tex]
[tex]h=30[/tex]
Answer:
B, 30 inches
Step-by-step explanation:
the areao of a parallelogram's formula is A = bh
in the word problem, we are given A and b, so we plug that into the formula to solve for h
450 = 15h < divide both sides by 15 to get h alone
450/15 = 30
15h/15 = h
h = 30
the solution to the word problem is B, 30 inches
Answere and How to do
Answer:
-25
Step-by-step explanation:
if you are multiplying x by -2/5 you have to divide each side by it to get
x = 10 ÷ -2/5
and if you change it to (10/1)/(-2/5)
=(10/1) • -5/2
and whene you multiply them you get -50/2
which is -25/1 or -25