Answer: 5/8 × 24 = 15
A red die is tossed and then a green die is tossed. What is the probability that the red die shows a number larger than three or the green die shows a number less than three?
The probability that the red die shows a number larger than three or the green die shows a number less than three is 0.83 or 83%.
Explanation:The question relates to the topic of probability in mathematics, which is the measure of the likelihood that an event will occur. In this case, we are looking at the probability of combined events with two standard six-sided dice, one red, and one green.
Firstly, the probability that the red die rolls a number larger than three is 3/6 or 0.5 since, out of 6 possible outcomes (1, 2, 3, 4, 5, 6), 3 (4, 5, 6) are favorable outcomes.
Secondly, the probability that the green die shows a number less than 3 is also 2/6 or approximately 0.33, as there are two favorable outcomes (1 and 2).
To find the probability of the red die showing a number larger than three OR the green die showing a number less than three, we add the two individual probabilities because these are independent events. Hence Probability = 0.5+0.33 = 0.83 or 83%
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The probability of the red die showing a number larger than three or the green die showing a number less than three is 1/9.
Explanation:To calculate the probability of the red die showing a number larger than three or the green die showing a number less than three, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The favorable outcomes are when the red die shows a number larger than three (i.e., 4, 5, or 6) or when the green die shows a number less than three (i.e., 1 or 2).
Since each die has 6 sides, the total number of possible outcomes for each die is 6. Therefore, the total number of possible outcomes for both dice is 6 * 6 = 36.
The number of favorable outcomes is 3 (for the red die) + 2 (for the green die) - 1 (for the outcome where both dice show a number larger than three and a number less than three) = 4.
Therefore, the probability is 4/36 = 1/9.
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If a sprinkler waters 1 over 12 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?
Answer:
12 hours
Step-by-step explanation:
Solve for y?
y/4-y+1/5=y+2/8
A)y=-4
B)y=-11/3
C)y=18/7
D)y=-6
the correct answer to this question would be: y=8
−(−y+18)+11 =1
y−18+11 =1
y−7 =1
y =8
This month salesperson A made 11% of $67,530. Salesperson B made 8% of $85,740. Who made more commission this month? How much did that salesperson make?
Answer: Salesperson A made $7,428.30 in commission which is $569.10 more than Salesperson A.
Step-by-step explanation:
A: $67,530 * 0.11 = $7,428.30
B: $85,740 * 0.08 = $6,859.20
$ 569.10
Solve the system by elimination state whether the system has one solution infinite solutions or no solution x+3y=-5 4x-y=6
Answer:
one solution, i.e x = 1 and y = -2
Step-by-step explanation:
Given two equations :
x+3y = -5 -------(1)
4x - y =6 ---------(2)
Using elimination method,
Multiply equation (2) by 3 and add it to equation (1)
We get,
x + 3y + {(4x - y)×3} = -5 +(6×3)
x + 12x + 3y - 3y = -5 + 18
13x = 13
x = 13/13 = 1
And corresponding y will be:
x + 3y = -5 , Plug x =1 to get y
1 + 3y = -5
3y = -5 - 1
y = -6/3 = -2
Hence we got only one solution, i.e x =1 and y = -2
Mrs. Ruiz bought 4 4/5 lbs of strawberries. She used 3/4 of them to bake a pie for dessert. How many lbs of strawberries did she use?
Answer:
3 3/5 lbs
Step-by-step explanation:
We will multiply the pounds of berries by the faction she used to see how much she used for the pie
4 4/5 * 3/4 = amount used in pie
We need to convert the mixed number to an improper fraction
4 4/5 = (5*4+4)/5 = 24/5
24/5 * 3/4 =
I will change the order to make the math easier
24/4 * 3/5
6 * 3/5 =
18/5
Now we need to change it back to a mixed number
5 goes into 18 3 times with 3 left over
3 3/5 lbs
She used 3 3/5 lbs
At the newest animated movie, for every 9 9 children, there are 4 4 adults. There are a total of 3 9 39 children and adults at the movie. How many children are at the movie?
Answer:
27 children.
Step-by-step explanation:
For every 9 children there are 4 adults .
x + y = 39 where x = number of children and y = number of adults.
and x/y = 9/4
so 4x = 9y
then x = 9y/4 , so substituting for x in the first equation:-
y + 9y/4 = 39 Multiplying through by 4:-
4y + 9y = 156
y = 156/13 = 12 so there are 12 adults
and 39 - 12 = 27 children
The problem is solved by using the ratio of children to adults and setting up a proportion. After cross-multiplying and solving the equation, it is determined that there are 27 children at the movie.
Explanation:This is a problem of ratio and proportion. In this case, the ratio of children to adults at the movie is 9 to 4. This means that for every 13 people at the movie (9 children plus 4 adults), 9 are children. We can set up a proportion to determine how many out of the total 39 people at the movie are children.
The proportion is:
9 children / 13 total people = x children / 39 total people
We can solve this problem by cross multiplying: 9 * 39 = 13 * x, which gives us: 351 = 13x. Dividing both sides of the equation by 13, we get: x = 27.
Therefore, 27 children are at the movie.
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Jim's weight is 80% of Elijah's weight. Elijah weighs 90 pounds.
Select all the statements that are true about Jim's weight.
Answer Choices
a.Jim weighs 70 pounds.
b.Jim's weight is less than Elijah's weight.
c.The ratio of Jim's weight to Elijah’s weight is represented by the shaded squares to the total squares.
d.The ratio of Jim's weight to Elijah’s weight is represented by the ratio of the number of shaded squares to the number of unshaded squares.
Some rectangles are not parallelograms.
A. True
B. False
Someone please answer this for me!!!!
A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
The rectangle is a quadrilateral that has four sides and the opposites are always parallel.
The statement "Some rectangles are not parallelograms" is false.
Option B is the correct answer.
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
Some rectangles are not parallelograms.
The rectangle is a quadrilateral that has four sides and the opposites are always parallel.
So,
All rectangles are parallelograms.
Thus,
The rectangle is a quadrilateral that has four sides and the opposites are always parallel.
The statement "Some rectangles are not parallelograms" is false.
Option B is the correct answer.
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Write a numerical or variable expression for the quantity: the value in cents of n nickels
The value in cents of n nickels: 5n
The value in cents of d dimes and p pennies: 10d + p
The value in cents of w dollars: 100w
The next whole number following a whole number w: w + 1
The value in cents of n nickels can be written as a numerical or variable expression as 5n, with n representing the number of nickels. This is because each nickel is worth 5 cents.
Explanation:The quantity in cents of n nickels can be written as a numerical or variable expression. Because each nickel is worth 5 cents, you multiply the number of nickels, represented by n, by 5. This can be written as 5n. For example, if you have 4 nickels, you could calculate the total value in cents by multiplying 5 by 4, giving you 20 cents.
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solve the equation 2x^2+18=0
Final answer:
The quadratic equation 2x² + 18 = 0 is solved by isolating the x² term and taking the square root of both sides, yielding solutions x = 3i and x = -3i.
Explanation:
To solve the quadratic equation 2x² + 18 = 0, you need to first move all terms to one side of the equation to set it equal to zero, which is already done in this case. Next, you would typically factor the quadratic or use the quadratic formula.
However, this equation can be simply factored since it is missing the x term. So, subtract 18 from both sides to isolate the x² term.
2x² = -18
Now, divide both sides by 2 to solve for x².
x² = -9
To solve for x, take the square root of both sides. Remember, when taking the square root of a number, you will have both a positive and negative solution.
x = √{-9} = ±3i
The solutions to the equation are x = 3i and x = -3i, where i is the imaginary unit.
What is the measure of each exterior angle for regular hexagon
Answer:
60 degrees.
Step-by-step explanation:
The total measure of the exterior angles of all polygons is 360 degrees,
A regular hexagon has 6 equal exterior angles so the measure of each angle is 360 / 6 = 60 degrees.
Answer:
Measure of each exterior angle for regular hexagon = 60°
Step-by-step explanation:
We have sum of interior angles of a polygon with n sides = (n-2) x 180
Sum of exterior angles = n x 180 - (n-2) x 180 = 2 x 180 = 360 degree.
So whatever be the number of sides the sum of exterior angles of a polygon is 360°.
Here we are asked to find the measure of each exterior angle for regular hexagon.
We know sum of exterior angles = 360°
Number of exterior angles = 6
Measure of each exterior angle for regular hexagon = 360/6 = 60°
Measure of each exterior angle for regular hexagon = 60°
Last month, a car dealership sold 184 new cars. To determine customer satisfaction, the sales manager asked all of these newcar owners to complete an online survey. Only 32 of them completed the survey, and 24 of them said they were completely satisfied with their purchase. Based on the survey results, how many of all new car owners from last month are not−−− completely satified with their purchase?
Help me pleeeeaaaase
Answer:
Step-by-step explanation:
4x=2z+5/y
X= 1/4(2z+5/y)
A photographer has 591 photos of animals and 234 photos of plants. He wants to put all of the photos into photo books. Each page of the photo books holds 8 photos. What is the fewest number of pages he could use in the photo books?
Answer:
He could use 104 pages in the photo books .
Step-by-step explanation:
Given :
A photographer has 591 photos of animals and 234 photos of plants.
Each page of the photo books holds 8 photos.
To Find : Fewest number of pages he could use in the photo books.
Solution :
A photographer has 591 photos of animals and 234 photos of plants.
Thus total no. of photos he have = 591+234 = 825 photos
Since he wants to put all the photos into photo book
No. of pages required for 8 photos = 1
No. of pages required for 1 photo = 1/8
No. of pages required for 825 photos:
= [tex]\frac{1}{8} *825[/tex]
⇒103.125 pages ≈ 104 pages
Hence he could use 104 pages in the photo books .
plz answer its easy math.
Answer:
B and E
Step-by-step explanation:
The rules of indicies states:
[tex]x^{a}[/tex] ÷[tex]x^{b}[/tex] = [tex]x^{a-b}[/tex]
So [tex]3^{-8}[/tex] ÷ [tex]3^{-4}[/tex] = [tex]3^{-8 - - 4}[/tex] = [tex]3^{-4}[/tex]
So that means B is one of the correct answers.
To find the other correct value, you can divide the two fractions as stated in the question:
[tex]3^{-8}[/tex] by [tex]3^{-4}[/tex] = [tex]\frac{1}{81}[/tex]
81 is equivalent to 3⁴
So that means E is also correct.
[tex]\text{Use}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}\\-----------------------\\\\\dfrac{3^{-8}}{3^{-4}}=3^{-8-(-4)}=3^{-8+4}=\underbrace{\boxed{3^{-4}}}_{\boxed{B.}}=\underbrace{\boxed{\dfrac{1}{3^4}}}_{\boxed{E.}}\\\\Answer:\ \boxed{B.\ and\ E.}[/tex]
Diagram 7 shows a trapezium ABCD. The straight lines AB and CD are parallel.Find
(a) the equation of the straight lines CD
(b)the x-intercept for the straight line CD
Answer:
see explanation
Step-by-step explanation:
(a)
Since lines AB and CD are parallel then their slopes are equal
y = - [tex]\frac{1}{2}[/tex] x + 14 is in slope- intercept form ( y = mx + c )
with slope m = - [tex]\frac{1}{2}[/tex]
Hence slope of CD = - [tex]\frac{1}{2}[/tex]
D is the point (0, 7) ⇒ c = 7
y = - [tex]\frac{1}{2}[/tex] x + 7 ← equation of CD
(b)
to find the x- intercept let y = 0, in the equation and solve for x
- [tex]\frac{1}{2}[/tex] x + 7 = 0 ( multiply through by 2 )
- x + 14 = 0 ⇒ - x = - 14 ⇒ x = 14 ← x- intercept of CD
On a line segment, C is between B and D. If BC = 3.6 and BD = 8.4, what is CD?
Answer:
4.8
Step-by-step explanation:
b to c is 3.6
b to d is 8.4
if c is in the middle , you would subtract 8.4 and 3.6
The formula
[tex]p = 14.7e {}^{ - 0.21x} [/tex]
gives the average atmospheric pressure, P, in pounds per square inch, at an altitude x, in miles above sea level. Find the average atmospheric pressure for an altitude of 2.3 miles. Round your answer to the nearest tenth.
Answer
the answer is P=7.8
Step-by-step explanation:
P=14.7e -0.21x
X=14.7e (-0.63)
take the natrual log of both sides
1n(P)=1n(14.7e(-.63)
1n(P)=1n(14.7)-.63
(because ln(e^a) = a)
1n(P)=2.688 - .63
1n(P)=2.058
P=e 2.058
P=7.8
Final answer:
To find the average atmospheric pressure at an altitude of 2.3 miles, substitute x = 2.3 into the given formula and solve, resulting in approximately 9.1 pounds per square inch.
Explanation:
The average atmospheric pressure for an altitude of 2.3 miles can be found by substituting x = 2.3 into the given formula: [tex]p = 14.7e^{-0.21x[/tex]
Substitute x = 2.3 into the formula:
p = [tex]14.7e^{-0.21(2.3)[/tex]
p ≈ [tex]14.7e^{-0.483[/tex]
p ≈ 14.7 × 0.617 ≈ 9.1 pounds per square inch (rounded to the nearest tenth)
If (-6,-38) and (5,28) are two anchor points on the trend line, then find the equation of the line
Answer:
The equation of the line is y = 6x - 2 .
Step-by-step explanation:
Formula for the equation of line is.
[tex](y - y_{1}) = m (x - x_{1})[/tex]
Where m is the slope.
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
As given
If (-6,-38) and (5,28) are two anchor points on the trend line.
Than
[tex]m = \frac{28 - (-38)}{5 - (-6)}[/tex]
[tex]m = \frac{28 + 38}{5 + 6}[/tex]
[tex]m = \frac{66}{11}[/tex]
m = 6
Put the value in the equation of a line.
[tex](y - (-38)) = 6 (x - (-6))[/tex]
[tex](y + 38) = 6 (x + 6)[/tex]
[tex](y + 38) = 6x + 6\times 6[/tex]
[tex](y + 38) = 6x + 36[/tex]
y = 6x +36 - 38
y = 6x - 2
Therefore the equation of the line is y = 6x - 2 .
On Monday, Harry had 75\%75% as many toys as Teddy did. On Tuesday, after Harry acquired 3232 more toys and Teddy acquired 15\%15% more than he had on Monday, Harry had as many toys as Teddy did. How many toys did Harry have on Monday?
Let the number of toys Teddy has on Monday = x
On Monday Harry has = 75% of x or 0.75x
As given, On Tuesday, after Harry acquired 32 more toys and Teddy acquired 15% more than he had on Monday, Harry had as many toys as Teddy did.
Toys Teddy has = [tex]x+\frac{15x}{100}[/tex]
=[tex]\frac{100x+15x}{100} =\frac{115x}{100}[/tex] = 1.15x .... (i)
Toys Harry has = 0.75x+32 ...... (ii)
As both have equal toys now, so equation (i) equals equation (ii)
[tex]1.15x=0.75x+32[/tex]
[tex]1.15x-0.75x=32[/tex]
[tex]0.4x=32[/tex]
x=80
Hence, Teddy had 80 toys on Monday.
And Harry had 75% of 80 toys = 60 toys on Monday.
how to answer this problem
Luke receives an electric bill of $84.21\$84.21$84.21 for the month of April. The electric company charges $0.14\$0.14$0.14 per kilowatt-hour (kWh)(\text{kWh})(kWh) of electricity. Given that April has 303030 days, about how many kilowatt-hours did Luke use per day during the month of April?
Answer:
The answer would be 20.05 hours per day.
Answer: There are 20.05 kwh that Luke use per day during the month of April.
Step-by-step explanation:
Since we have given that
Amount of electric bill = $84.21
Charges of electric company = $ 0.14 per kWh
We need to find the number of kilowatt hours.
Number of days in the month of April = 30 days
According to question,
[tex]84.21=0.14\times 30\times x\\\\84.21=4.2\times x\\\\\dfrac{84.21}{4.2}=x\\\\x=20.05\ kwh[/tex]
Hence, there are 20.05 kwh that Luke use per day during the month of April.
18 out of 20 is what percentage
I used Google and got 90%...if you simplify it you will get 9/10 which is a 90%
If 18 out of 20 is given. Then the percentage will be 90%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
The given number statement is 18 out of 20.
Then the percentage will be
P = 18/20 x 100
P = 90%
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a tv screen is 38.4” wide and 3.2” high. determine the size of the tv
the TV screen would have an area of 122.88 inches
to find this all you would have to do is multiply the 38.4 by 3.2
Answer:
The size of the tv is 122.88", or 122.88 in²
Step-by-step explanation:
a = w * h
w = 38.4
h = 3.2
a = (38.4) * (3.2)
a = 122.88
In 2005, joe planted a tree that was 3 feet tall. In 2010, the tree was 13 feet tall. Assuming the growth of the tree is linear, what was the rate of the growth of the tree?
Answer:
2 feet per year
Step-by-step explanation:
First, we need to find the amount it grew:
13 - 3 = 10
So between 2005 and 2010 it grew 10 feet.
Now to find the yearly growth we need to divide the distance by time:
10 ÷ 5 = 2
So it grew 2 feet per year.
The Ratio of 3 numbers id 2:7:1. The sum of the numbers is 30. What are the 3 numbers?
Answer:
Three numbers are : 6 , 21 and 3
Step-by-step explanation:
Given,
Ratio of 3 numbers is 2:7:1 .
We can assume 3 numbers as : 2x ,7x and x respectively.
According to the problem :
2x + 7x + x = 30 {The sum of the 3 numbers is 30}
10x = 30
x = 3
Hence 3 numbers are, x = 3
2x = 2*3 = 6
7x = 7*3 = 21
Therefore we get three numbers as : 6 , 21 and 3
Remember , you can check their ratios to cross check the correct answer.
Answer:
6, 21, and 3
Step-by-step explanation:
Please help with this scatter plot question...PLEASE!!!
Answer:
Positive association and nonlinear
Step-by-step explanation:
Answer:
Positive association & Linear Association
Step-by-step explanation:
Positive charts go up from left to right (which this plot does)
Liner plots are any plots that can form a straight line (which this one does)
faith buys 3 pounds of flour. she uses 1/4 pound each day. in how many days does she use up the flour. ANWSER QUICK!!!!!
Solve the inequality:
-4| 5x+12| -13> -44
Answer:
-79/20 < x< -17/20
Step-by-step explanation:
-4| 5x+12| -13> -44
The first step is to add 13 to each side
-4| 5x+12| -13+13> -44+13
-4| 5x+12| > -31
Divide each side by -4. Remember when dividing by a negative to flip the inequality
-4/-4| 5x+12| < -31/-4
| 5x+12| < 31/4
Now we will have 2 equations, one positive and one negative. Remember to flip the inequality for the negative
5x+12 < 31/4 and 5x+12 >-31/4
Subtract 12 from each side
5x+12-12 < 31/4-12 and 5x+12-12 >-31/4-12
5x < 31/4-12 and 5x >-31/4-12
Get a common denominator of 4
5x < 31/4-48/4 and 5x >-31/4-48/4
5x < -17/4 and 5x > -79/4
Divide each side by 5
x < -17/20 and x >-79/20
-79/20 < x< -17/20