The probability that either the words BAD or CAB will appear as part of the row is 16.7%
How to determine the probability that either the words BAD or CAB?We have 4 places where we can put the cards.
Let's count the number of possible outcomes for each place.
In the first place, we can put one of 4 cards.
In the second place, we can put one of 3 cards (because one card was taken in the first place).
In the third place, we can put one of 2 cards
In the last place, we can put one of one cards.
The total number of different combinations is the product between the number of options for each place, then we have:
4×3×2×1 = 24
Now we need to count the number of combinations such that the words BAD or CAB appear. We have:
BADC
CBAD
CABD
DCAB
That is 4 out of 24.
Thus, the probability that either the words BAD or CAB will appear as part of the row will be:
P(BAD or CAB) = 4/24 = 16.7%
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The probability is 16.7%
Helppppppp
Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
Her painting rate in window frames per hour will be;
⇒ 1.6 frames per hour
Her painting rate in hours per window frame will be;
⇒ 0.25 hours per window frame
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Joyce painted 8 window frames in 5 hours while earning money for college.
Here, Joyce painted 8 window frames in 5 hours while earning money for college.
Hence, Her painting rate in window frames per hour is,
⇒ 8/5
⇒ 1.6 frames per hour
And, Her painting rate in hours per window frame is,
⇒ 5/8
⇒ 0.25 hours per window frame
Thus, Her painting rate in window frames per hour = 1.6 frames per hour
Her painting rate in hours per window frame = 0.25 hours per window frame
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Gina is shopping for a new bicycle. The price of the bicycle that she likes is $300 and there is an 8% sales tax. What is the total price of the bicycle including sales tax?
Answer:
$324
Step-by-step explanation:
(1.08)(300) = 324
Answer:
The total price of the bicycle including sales tax is $324.
Explanation:
The price of a bicycle = $300
Rate of sales tax = 8%
Amount of tax = 8% x 300
= [tex]\frac{8}{100}[/tex] x 300
= 8 x 3
= 24
Cost of bicycle including tax= Price of cycle + Amount of tax = 300+24=324
= $324
Bridget says that when a standard number cube is rolled getting an even number is an outcome. Uma says that getting an even number is an event. Who is correct? Explain
Uma is correct, because getting an even number is an event.
What is Probability?The term probability refers to the likelihood of an event occurring.
Given that;
Bridget says that when a standard number cube is rolled getting an even number is an outcome.
And, Uma says that getting an even number is an event.
Now,
We know that;
When a standard number cube is rolled then getting an even number is an event.
Hence, Uma statement is correct.
Thus, Uma is correct, because getting an even number is an event.
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find the median and mean of the data set below: 29,8,11,29,29,6,49
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
A)
h/j=k/i
B)
j/h=j/k
C)
k/j=i/j
D)
h/k=k/i
Answer:
The correct option is A.
Step-by-step explanation:
When we have two congruent figures, the correspondent sides of the figures are related by the same constant C.
In the case of the image.
h is the left side of the smaller triangle.
h + j is the left side of the larger triangle.
Then we have the relation:
(h + j) = C*h
If we isolate C, we get:
C = (h + j)/h
We can also write this for the other side (the bottom one)
k*C = (k + i)
C = (k + i)/k
Then we have:
(h + j)/h = (k + i)/k
We can rewrite this as:
h/h + j/h = k/k + i/k
1 + j/h = 1 + i/k
We can subtract 1 in each side to get:
j/h = i/k
This is almost the same we can see in option A (its inversed)
If we apply the inverse to both sides, we get:
(j/h)^-1 = (i/k)^-1
h/j = k/i
Which is the same equation that we can see in option A.
Then the correct option is A.
What is the value of y (angles)
Answer:
39°
Step-by-step explanation:
At the section the angles are connected, meaning that the angle across from w is the same as w and same applied to x. To find y, you first need to find w, to find the 2nd angle of the triangle of the right.
To do this, you need to add up 42 + 85.
(All triangles angles = 180)
42+85=127
subtract this from 180 to find angle w
180 - 127 = 53
53 = Angle w, which is the same as the angle across from angle w (second angle).
Second, take 53 + 88 = 141
Subtract this from 180
180-141 = 39.
39 is y°
or
y° = 39
1)
2)
Which relation is not a function?
1
-A
30
2
B
3.
: mo
C
A
4
36
3
3)
4)
2-
x
relations
246
6:
8-
Co
8
-10
12
₹10
12
Answer:
2, cause it shows a different function or pattern
Fine the Value of x?
Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99 percent confidence interval for the average age at which children begin to walk will be constructed using the data obtained from the sample of children. Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?
A. 400
B. 900
C. 1300
D. 1600
E. 2100
which statement describes rate of change of the following function? F( x)=3X -7
At Downtown Dogs, 10 of the last 15 customers wanted mustard on their hot dogs. What is the experimental probability that the next customer will want mustard? Write your answer as a fraction or whole number.
Answer:
yes
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
its on ixl
Please Answer.\
I am in so much tension already
Answer:
1:B
2:B
3:C
Step-by-step explanation:
HOPE IT'LL HELP :)
Which choice is equivalent to the quotient shown here for acceptable
values of x?
√12(x-1)+√√2(x-1)²
For acceptable x values of √12(x-1)+√√2(x-1)², the option is equivalent to the quotient given here (x-1) ² is [tex]$2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$\\[/tex] .
How do you find the quotient of a set?The equivalent of the quotient displayed above for allowable x values is
[tex]$\sqrt{1} \cdot 2(x-1)+\sqrt{\sqrt{2}}(x-1)^2$[/tex]
[tex]$2(x-1)+\sqrt[2 \cdot 2]{2}(x-1)^2$\\[/tex]
[tex]\$2(x-1)+\sqrt[4]{2}(x-1)^2$\\$(2 x-2)+\sqrt[4]{2}\left(x^2+2 x(-1)+(-1)^2\right)$\\$(2 x-2)+\sqrt[4]{2}\left(x^2-2 x+1\right)$\\$2 x-2+\sqrt[4]{2}\left(x^2-2 x+1\right)$\\$2 x+\sqrt[4]{2}\left(x^2-2 x+1\right)-2$\\$2 x+\left(\sqrt[4]{2} \cdot x^2-\sqrt[4]{2} \cdot 2 x+\sqrt[4]{2}\right)-2$\\$2 x+\left(\sqrt[4]{2} \cdot x^2-2 \cdot \sqrt[4]{2} \cdot x+\sqrt[4]{2}\right)-2$\\$2 x+\sqrt[4]{2} \cdot x^2-2 \cdot \sqrt[4]{2} \cdot x+\sqrt[4]{2}-2$[/tex]
[tex]$f(x)=\sqrt{12(x-1)}-\sqrt{2(x-1)^2}$[/tex]
[tex]$\frac{d}{d x}\left(\sqrt{12(x-1)}-\sqrt{2(x-1)^2}\right)$[/tex]
[tex]$\sqrt{12(x-1)}-\sqrt{2(x-1)^2}=2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$[/tex]
[tex]$\sqrt{12(x-1)}-\sqrt{2(x-1)^2}$[/tex]
[tex]$\sqrt{12(x-1)}=2 \sqrt{3} \sqrt{x-1}$[/tex]
[tex]$\sqrt{2(x-1)^2}=\sqrt{2}(x-1)$\\$=2 \sqrt{3} \sqrt{x-1}-\sqrt{2}(x-1)$\\[/tex]
Values that might result in a fraction's denominator being equal to zero are excluded. Finding these omitted values is crucial for resolving a rational statement because you cannot divide by 0.
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Callie drew the map below to show her neighborhood. If each unit in the coordinate plane represents 1.5 miles, how many miles is it from the school to the grocery store?
The triangle below has an area of 10 units squared.
Answer:
x = 5 units
Step-by-step explanation:
area = 1/2bh
10 = 1/2(x)4)
2x = 10
x = 5
Answer:
The value of x (which is also the height of this triangle) is x = 5 units.
Step-by-step explanation:
The formula for the area of a triangle of base b and height h is
A = (1/2)(b)(h).
Here A = 10 units² = (1/2)(4 units)(x).
Multiplying both sides by 2 yields 20 units² = (4units)(x), and thus 20 units²
click on photo! help!
Answer:
The answer is D) 5, the number of eggs on the charts never exceeds that number.
Justin surveyed 280 of the students in his school about their favorite color. 98
students said their favorite color was blue. What percentage of the surveyed students
said their favorite color was blue?
Answer:
[tex] \frac{98}{280} \times \frac{100}{1} [/tex]
[tex]0.35 \times 100 \\ = 35\%[/tex]
In a '15% off sale, Freya bought a DVD player for £179. 99. What was the original price of this
DVD player?
The original cost of the DVD player is $ 211.75.
Calulating Original price:
To calculate the original price of an item in case of giving a discount we can use the following formula
Original Price = Selling Price / (1 - Percentage Discount/100)
(Or)
We can calculate the original price by taking a variable as the cost of the item as given below
Here we have
In a '15% off sale, Freya bought a DVD player for £179. 99
Let 'x' be the cost of the DVD player
Then the cost of the DVD player after giving a 15% discount
= x - 15% of x
= x - (15/100) x
= x - 0.15x
= 0.85x
Given that
Freya bought a DVD player for £179. 99
=> 0.85x = 179. 99
=> x = 211.75
Therefore,
The original cost of the DVD player is $ 211.75.
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tan took Lily to his friend’s restaurant on a date. The friend told the waiter to remove the $12 dessert from Stan’s bill. Stan tipped the waiter 20% on the reduced bill, which was a $15 tip. Fill in the blanks to write an equation that will determine the amount of the original bill, b.(2 points)
___(b −___) = ___
$b+$12 is the equation that will determine the amount of the original bill
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that The friend told the waiter to remove the $12 dessert from Stan’s bill.
Stan tipped the waiter 20% on the reduced bill, which was a $15 tip
We need to write an equation that will determine the amount of the original bill b.
Let us find what 20% of amount will be 15
20/100×b=15
0.2x=15
b=15/0.2=75
The reduced bill is $75.
As before $12 is removed
$b+$12=$87
$87 is the original bill and 15 is the tip.
Hence, $87 is the original bill.
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find the height of the prism is the volume is 740cm cubed edulastic
Sorry I’m not very good with this type of math.
Find the mean of this set of data: 45, 177, 153, 162, 43, 33, 6, 78, 122
Answer:
91
Step-by-step explanation:
Answer:
so to find the mean, add all the numbers
(ie from 45 to 122) then divide the answer by the number of number you have ( ie count from 45 to 122 which is nine numbers in total)
so your presentation will look like
819/9
which is = 91
What is the value of log2 base 2?
the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one
How do you find the value of log base 2?
Properties of Log Base 2
Multiply two numbers with base 2, then add the exponents. Divide two numbers with the base 2, subtract the exponents. Power Rule: Raise an exponential expression to power and multiply the exponents.
Use the change-of-base formula:
since we know that natural log and log with base 10 are different
So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:
Hence , the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one
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Find the minimal and maximum value of the function y=7 cos x
Answer:
The minimum and maximum cannot be determined because this is not a quadratic function.
Step-by-step explanation:
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
How do you find the coordinates of a point example?
To find the coordinates of a point in a coordinate system, do the inverse. Start at the point and trace a vertical line up or down to the x-axis. There you have your x-coordinate. Then repeat the process, but this time follow a horizontal line to determine the y-coordinate.
A point is identified by its ordered pair of (x, y). The first number represents the x-coordinate, while the second represents the y-coordinate.
To graph a point, you draw a dot at the coordinates of the ordered pair. It's usually a good idea to begin at the beginning.
An ordered pair of integers, such as an x-coordinate, which is a number on the x-axis, and a y-coordinate, which is a number on the y-axis, can be used to identify each point. Parentheses are used to indicate ordered pairings (x-coordinate, y-coordinate). The starting point is at (0,0).
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Kadeesha has a smart phone data plan that costs $45 per month that includes 10 GB of data, but will charge an extra $25 per GB over the included amount. How much would Kadeesha have to pay in a month where she used 4 GB over the limit? How much would Kadeesha have to pay in a month where she used went over by xx GB?
Answer:
1. $145
2. 45+25x=total $
Step-by-step explanation:
45+(25•4)=145
Step-by-step explanation:
Given:
10 GB included with plan
$45 per month
$25 per GB over the amount of 10
Need to find out:
How much would Kadeesha have to pay in a month where she used 4 GB over the limit, how much would it be if it went over xx GB?
Let's solve the first problem:
10 GB included + 4 GB (over) =14 total GB
$45=10GB. $25×4= 4 GB over.
$45+$100=$145
Therefore, Kadeesha would have to pay $145 if she went 4 GB over the 10.
Now, let's solve the next problem:
So, for this problem we are going to find the amount it wil be in other various amounts. To do this we will create a chart /table
$45 ------> 10GB
$70 -----> 11 GB
$95 ----> 12 GB
$120 ---> 13 GB
$145 ---> 14 GB
$170 ---> 15 GB
and so on....
but here we can see any given amount will be her usual Phone bill amount ($45), with the 10 GB and an additional $25 for every added GB.
if something is unclear, or seems wrong just let me know!
I hope this helps:)
what is the fraction and the percentage of o.5
Answer:
Fraction: 1/2
Precentage: 50%
Step-by-step explanation:
PLEASE HELP ME IM TIMED WILL MARK BRAINLIEST NO LINKS
Answer:
27.83 dollars
Step-by-step explanation:
At SaveRite, a 4-ounce carton of juice costs $0.85 and a 16-ounce carton costs $2.70. Which size carton would you buy to pay the least amount per ounce?
Answer:
16-ounce carton
Step-by-step explanation:
you divide by the cost by the amount of ounces per cent and when buying the 4 ounce one is 21 cents per ounce while the 16 ounce one is 16 cents per ounce
find the volume of this triangular prism.
The volume of the triangular prism is 120 cm cube.
How to find the volume of a triangular prism?A triangular prism is a three-sided prism. The volume of a triangular prism can be represented as follows:
volume of a triangular prism = 1 / 2 bhl
where
b = base of the triangular faceh = height of the triangular facel = height of the triangular prismTherefore,
b = 10 cm
h = 12 cm
l = 6 cm
Therefore,
volume of a triangular prism = 1 / 2 × 10 × 12 × 6
volume of a triangular prism = 1 / 2 × 120 × 6
volume of a triangular prism = 60 × 6
volume of a triangular prism = 120 cm³
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Find the value of x then classify the triangle.
Answer:
x= 35⁰ - obtuse triangle
Step-by-step explanation:
since the sum of angles of the triangle = 180⁰
(3x-5) + (x+10) + (x) =180⁰
5x+5= 180
(subtracting 5 from both sides)
5x=180-5
5x= 175
(dividing by 5)
x= 35⁰
so the angles of the triangle are
(3x-5) = 105-5= 100⁰
(x+10) = 45⁰
(x) = 35⁰
then this triangle is an obtuse triangle