The probability that Ethan does NOT have computer science homework is 0.3
From the information given:
Let the probability that homework is assigned in Ethan's computer science be P(A) = 7/10However, in probability, the sum of all event outcomes is always equal to 1.
∴
[tex]\mathbf{P(A) + P(A^c) = 1}[/tex]
where;
[tex]\mathbf{ P(A^c) = }[/tex] the probability that Ethan does NOT have computer science homeworkThus;
[tex]\mathbf{ P(A^c) = 1- P(A)}[/tex]
[tex]\mathbf{ P(A^c) = 1- \dfrac{7}{10}}[/tex]
[tex]\mathbf{ P(A^c) =\dfrac{10 -7}{10}}[/tex]
[tex]\mathbf{ P(A^c) =\dfrac{3}{10}}[/tex]
[tex]\mathbf{ P(A^c) =0.3}[/tex]
Therefore, we can conclude that the probability that Ethan does NOT have computer science homework is 0.3
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The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 188 feet. Find the width of the garden.
Answer:
44 Feet
Step-by-step explanation:
Trust me
Answer:
Width = 43 feet
Step-by-step explanation:
Given the 188-feet perimeter of a rectangular garden, for which its length is 8 feet longer than its width:
We can express the length of the rectangular garden as: 8 + W.
Hence, in order to solve for the length and the width of the rectangular garden, use the following formula for the perimeter of a rectangle:
Perimeter (P) = 2(L + W) or 2L + 2W = 188 feet
Length (L) = 8 + W
Width (W) = W
Substitute these values into the perimeter formula to solve for the value of the rectangular garden's dimensions:
P = 2L + 2W
188 feet = 2(8 + W) + 2W
Distribute 2 into the parenthesis, (8 + W):
188 = 16 + 2W + 2W
Combine like terms:
188 = 16 + 4W
Subtract 16 from both sides:
188 - 16 = 16 - 16 + 4W
172 = 4W
Divide both sides by 4 to solve for W:
[tex]\LARGE\mathsf{\frac{172}{4}\:=\:\frac{4W}{4}}[/tex]
W = 43
Therefore, the width of a rectangular garden is 43 feet.
Since we determined that the length is 8 + W, then it means that the length of the rectangular garden is 51 feet.
Verify the dimensions:Double-check whether we have the correct dimensions for the rectangular garden by substituting the length (L) = 51 feet, and the width (W) = 43 feet, into the perimeter formula:
P = 2L + 2W
188 feet = 2(51) + 2(43)
188 feet = 102 + 86
188 feet = 188 feet (True statement). This means that we have the correct dimensions for the rectangular garden.
Answers:Therefore, the width of a rectangular garden is 43 feet.
A.
x f(x)
0 1
2 3
3 4
4 5
5 6
6 7
B.
x f(x)
-3 9
-2 4
-1 1
0 0
1 1
2 4
C.
x f(x)
0 3
2 3
3 3
4 3
5 3
6 3
D.
x f(x)
0 -1
2 3
0 4
2 5
0 6
2 7
Which table does NOT represent a function?
A)A
B)B
C)C
D)D
Answer:
xf xf f1x2 x f, y. x y = 2x + 3,. 10, 32. for x = 0, y = 2x + 3 = 2 #0 + 3 = 3; and so on.
Step-by-step explanation:
the principal Will attend the class on Tuesday and Wednesday is it simple statement or compound statement
Answer:
compound
Step-by-step explanation:
because it has and
The given statement is a compound statement.
A simple statement is one that does not contain another statement as a component.
A compound statement contains at least one simple statement as a component, along with a logical operator, or connectives.
Given statement is,
The principal will attend the class on Tuesday and Wednesday
In above statement and is connective word.
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Which expression gives the best estimate of 45 percent of 76?
Answer:
[tex]34\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{45}{100}*76[/tex]
[tex]\frac{171}{5} = 34\frac{1}{5}[/tex]
Answer:
Step-by-step explanation:
babababa
Please help hurry hurry hurry fast
Rafael is building a fence around his garden. For every 3 feet of fencing, the cost is $18.
Complete the table below showing the length of the fence and the cost.
Answer:
4 = 30
7 = 42
8 = 48
10 = 60
Step-by-step explanation:
The first thing you'll want to do is find the price for 1 foot of fencing.
18/3 = 6, which means that 1 foot of fencing costs $6. Then, either multiply or divide the number given by 6 to find the blank number. Hope this helps!
Answer:
30/18 = 1.666666667 x 3
1. 5/30
7/5 = 1.4 x 30 = 42
2. 7/42
48/42 = 1.4285714286 x 7 = 8
3. 8/48
10/8 = 1.25 x 48 = 60
4. 10/60
Step-by-step explanation:
you can use a equavilent fractions or ratios calculator to make sure this is 100% correct.
ma trận nghich đoa rlaf gì
Step-by-step explanation:
??? I don't understand pls? type on English
If f(x) = x2 + 5, find f(-9).
Answer:
f(-9) = 86
Step-by-step explanation:
Hi there!
f(x) = x² + 5
To find f(-9), replace x with -9:
f(-9) = (-9)² + 5
f(-9) = 81 + 5
f(-9) = 86
I hope this helps!
A rectangle has a length of 1.5abc and a width of 10abc find the area of the rectangle
Answer:
A = 15 a²b²c² square units
Step-by-step explanation:
Area of a rectangle = LW
A = (1.5abc)(10abc)
A = 15 a²b²c² square units
5p+6>41
SHOW WORK.
giving brainiest
Answer:
P>7
Step-by-step explanation:
1) Subtract 6 from both sides.
5p>41-6
2) Simplify 41-6 to 35.
5p>35
3) Divide both sides by 5.
p>35/5
4) Simplify 35/5 to 7.
p>7
Solve this please math problem asap please
Answer:
87
Step-by-step explanation:
Hope this helps
Here is the histogram of a data distribution. All class widths are 1.
5
4
3
3
2
1
1 2 3 4 5 6 7 8 9 10
What is the median of the distribution?
A. 7
O B. 5
C. 4
O D. 6
Answer:
D. 6
Step-by-step explanation:
So median means very middle, so mark off one side, then the other, then back and forth until you have 1 left
5 X
4 X
3 X X
2 X X X X X
1 X X X X X X X X
1 2 3 4 5 6 7 8 9 10
The answer is 6 because it is in the very middle when finding the median
The United States Department of Agriculture reports that 14% of Americans are now on food stamps. If there are 340,000,000 Americans, how many are on food stamps?
Answer: 47600000
Step-by-step explanation:
340000000 * 0.14
= 47600000
are fractions 3/9,3/10,3/11,and 3/12 arranged in order from least to greatest or greatest to least
Answer:
They are arranged in order from greatest to least
Step-by-step explanation:
Since the numerator in these fraction are all the same, as smaller the denominator, as bigger the fraction. So these fractions are arranged in order from greatest to least.
Please help!! Thank you so much in advance :)
Answer:
Step-by-step explanation:
x = 1 - i sqrt(2) ^ y = 10 + i sqrt(2)
x = 1 + i sqrt(2) ^ y = 10 - i sqrt(2)
Answer:
Step-by-step explanation:
y = 11 - x ----------(I)
y = 2x² - 4x + 6 -----------(II)
Substitute y = 11- x in (II)
11 - x = 2x² - 4x + 6
0 = 2x² - 4x + x + 6 - 11
0 = 2x² - 3x - 5
2x² - 3x - 5 = 0
Sum = -3
Product = -10
Factors = -5 , 2
2x² - 5x + 2x - 5 = 0
x(2x - 5) + (2x - 5) = 0
(2x -5 )(x +1)=0
2x - 5 = 0 ; x + 1 = 0
2x = 5 ; x = -1
x = 5/2
When x = -1 ; y = 11 - (-1) = 11 + 1 = 12
[tex]When x = \dfrac{5}{2} ; y = 11- \dfrac{5}{2}= \dfrac{22}{2}- \dfrac{5}{2}= \dfrac{17}{2}[/tex]
Solution: (-1 , 12) and (5/2 , 17/2)
Convert decimals to fractions
Answer:I’m not sure if you had a file if so it’s not there but heres something else
Step-by-step explanation:
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Plz help I need help
Answer:
c
Step-by-step explanation:
the equation is basiclly:
3*1/5x-3*1/7
3/5x-3/7
Answer:
[tex]\frac{3}{5} x-\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]3(\frac{1}{5}x- \frac{1}{7} )[/tex]
[tex]\frac{3}{5} x-\frac{3}{7}[/tex]
write an equation of the line below?
Justice needs 24 feet of fencing to surround his garden. The fencing is priced at $0.25 per inch how much will it cost justice to fence in his garden?
Answer:
66 dollars
Step-by-step explanation:
Justice needs $72 to fence in his garden.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Justice needs 24 feet of fencing to surround his garden.
The fencing is priced at $0.25 per inch.
Since, 1 foot = 12 inch
Hence, 24 feet = 24 x 12 inch = 288 inch.
Cost of the fencing in one inch = $0.25
So, Cost of the fencing in 288 inch = 288 x 0.25
= $72
Thus, Justice needs $72 to fence in his garden.
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The perimeter p of the rectangle equals 30. Find the value of X?
Answer:
13
Step-by-step explanation:
The perimeter is calculated by multiplying the sum of width and height with 2
2*(4x-2+7x+9) = 300 solve inside the parenthesis
2*(11x+7) = 300 multiply inside the parenthesis with 2
22x + 14 = 300 subtract 14 from both sides
22x = 286 divide both sides by 22
x = 13
the test is already done but I don't have the answer scheme
Step-by-step explanation:
[tex] = {( \frac{3 {x}^{2} y}{x {y}^{ - 1} } )}^{2} \times ( \frac{4 {x}^{ \frac{1}{2}} {y}^{ - 2} }{ \sqrt{27 {x}^{3} } } )[/tex]
[tex] = {(3 {x}^{2 - 1} {y}^{1 - ( - 1)} )}^{2} \times (\frac{4 {x}^{ \frac{1}{2} } {y}^{ - 2} }{ {27}^{ \frac{1}{2} } {x}^{ \frac{3}{2} } } )[/tex]
[tex] = (3x {y}^{2} )^{2} \times ( \frac{4}{ {3}^{ \frac{3}{2} } } {x}^{ \frac{1}{2} - \frac{3}{2} } {y}^{ - 2} )[/tex]
[tex] =( {3}^{2} {x}^{1 \times 2} {y}^{2 \times 2} ) \times ( \frac{4}{ {3}^{ \frac{3}{2} } } {x}^{ - 1} {y}^{ - 2} )[/tex]
[tex] = ( {3}^{2} {x}^{2} {y}^{4} ) \times ( \frac{4}{ {3}^{ \frac{3}{2} } x {y}^{2} } )[/tex]
[tex] =4 \times {3}^{2 - \frac{3}{2} } {x}^{2 - 1} {y}^{4 - 2} [/tex]
[tex] = 4 \times {3}^{ \frac{1}{2} } x {y}^{2} [/tex]
[tex] = 4 \times \sqrt{3} xy[/tex]
[tex] = 4xy \sqrt{3} [/tex]
you make an invesment of 1,000 that you are not allowed to cash in for 10 years. the value decreases by 10% each year. how much money will be left at the end of the 10 year term
Answer:
0
Hope I helped
Help help help help help help help help help help
Answer:
A (7,7)
B (10,4)
C (6,5)
Step-by-step explanation:
The translation rule shows that you have to move the coordinates 9 units right on the x axis, and 3 units up on the y axis.
If 4 kg of pork cost $1200, which would give the cost of 9kg of pork?
4 kg of pork = $1200
Then, 1 kg of pork = $1200/4 = $300
Now, cost of 9 kg of pork = $300 × 9
=》Cost of 9 kg of pork = $2700
_____
RainbowSalt2222 ☔
Jonah earns $3 an hour working after school and $4 an hour working on Saturdays. Last week he earned $43, working a total of 13 hours. How many hours did he work on Saturday?
Answer:x = amount of hours worked after school
y = amount of hours worked on saturday
x+%2B+y+=+13 or x+=+13+-+y
and
3x+%2B+4y+=+43
plug:
3%2813+-+y%29+%2B+4y+=+43
39+-+3y+%2B+4y+=+43
y+=+4
plug:
x+=+13+-+y
x+=+13+-+4+=+9
9 hours worked after school and 4 hours worked on saturday
Step-by-step explanation:
Which graph bet suits the following function?
[tex]y=(\frac{8}{9})^{x}[/tex]
Graph 1 - The x y-coordinate plane is given. The curve enters the window just above the x-axis, goes up and right becoming more steep, crosses the y-axis at y = 1, and exits the window at the approximate point (10, 3.2).
Graph 2 - The x y-coordinate plane is given. The curve enters the window just below the x-axis, goes down and right becoming more steep, crosses the y-axis at y = −1, and exits the window at the approximate point (10, −3.2).
Graph 3 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−10, −3.2), goes up and right becoming less steep, crosses the y-axis at y = −1, and exits the window just below the x-axis.
Graph 4 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−10, 3.2), goes down and right becoming less steep, crosses the y-axis at y = 1, and exits the window just above the x-axis.
Step-by-step explanation:
Graph 3 - The x y-coordinate plane is given. The curve enters the window at the approximate point (−10, −3.2), goes up and right becoming less steep, crosses the y-axis at y = −1, and exits the window just below the x-axis.
Find the measure of two complementary angles if the measure of one is 15 degrees more than twice the measure of the other
Answer:
25 and 65
Step-by-step explanation:
Let one of the angles be x.
So, the other angle is 15 + 2x
complementary angles add up to 90 degrees.
so, we have
x + 2x + 15 = 90
3x + 15 = 90
Subtract 15 from both sides
3x = 75
solve for x
x = 25
so, the angles are 25 and 65
2 complementary angles sum up to 90°.
Take one angle as 'x'. Then, the other angle will be '15 + 2x'.
15 + 2x + x = 90°
15 + 3x = 90°
3x = 90 - 15
3x = 75
x = 75/3
x = 25°.
Measure of 1st angle (x°) = 25°
Measure of 2nd angle (15 + 2x°) = 15 + 2*25 = 65°.
=》 The 2 complementary angles are 25° & 65°.
________
RainbowSalt2222 ☔
Solve 9x + 3y = 15 for y.
A. y=-3x + 15
B. y = 9x + 15
C. y = -9x + 5
D. y=-3x + 5
Answer: D) y = -3x + 5
Step-by-step explanation:
Move x.
3y = -9x + 15
Divide by 3.
y = -3x + 5
Hope it helps :) and let me know if you want me to elaborate.
Answer:
D. y = -3x + 5
Step-by-step explanation:
Subtract 9x from both sides
3y = 15 - 9x
y = 15/3 - 9x/3
y = 5 - 3x
y = -3x + 5
Help me pleaseeeeeee
Answer:
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Need the answer and steps please
