The probability that a student chosen at random from a class has ginger hair is 5/14.
The probability that they have blonde hair is 9/28.
What is the probability that a student chosen from the class at random has either ginger or blonde hair?
Give your answer as a fraction in its simplest form.
Answers
Answer: The probability of a random student to have either ginger or blonde hair is 19/28.
Step-by-step explanation: Before anything is done, let's look and see what information the problem gives us and what we need to find out. We know that there's a 5/14 chance for a student to be ginger, and a 9/28 chance for them to be blonde. We need to find out the combined chance, as we want to know what the chances are for a student to have either hair color.
In order to do this, all we need to find is the sum of both fractions. Because the fractions have different denominators, we need to change one of them to match the other. 14 multiplied by 2 is equal to 28.
If we multiply both the numerator and denominator of 5/14 by 2, we get 10/28. Now, all we have to do is add that to 9/28. When we do that, we get 19/28.
19/28 cannot be simplified, so it is our final answer. Hope this helps!
Related Questions
Peter i making 30 undae with mint,chocolate,and vanilla icecream. 3/5 of the undae are mint icecream and 1/2 of the remaining undae are chocolate. The ret will be vanilla. How many undae will be vanilla?
Ty for helping me :)
-Credit to Zearn
Answers
The amount of vanilla in the ice cream is 1/5 in the sundae that is being mad by Peter.
Peter make sundae by using mint chocolate and vanilla ice cream.
It is given to us that, the mint ice cream is 3/5 and chocolate is 1/2 of the remaining.
So, first we calculate the amount of chocolate,
Let us say that, we take the sundae as 1,
so, algebraically, the mint is,
X - 3/5 = 1
X = 2/5
Now, half of the 2/5 is,
Half of 2/5 = 2/5x1/2
Half of 2/5 = 2/10
Half of 2/5 = 1/5
So, the remaining portion after filling chocolate is 1/5
So, the vanilla ice cream will be 1/5.
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What is 1 6/8 + 2 3/8
Answers
Answer: 4 1/8
Step-by-step explanation:
1 6/8 + 2 3/8 = 33/8 = 4 1/8
Answer:
4 1/8
Step-by-step explanation:
first turn the fractions into improper fractions...
so 1 6/8 = 14/8
and 2 3/8 = 19/8
then add together.. 14/8+19/8=33/8
change into a mixed number = 4 1/8
or
do 1+2=3
and 6/8+3/8=9/8=1 1/8
and add the two values together... 3+ 1 1/8 = 4 1/8
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (9, 8). After leaving the theater Tommy walks to the store at (9, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answers
Answer:
I think he walks 25 blocks
Step-by-step explanation:
he walks 0,8 then 9,8 then 9,0 so he goes 8y + 9x + 8y = 25 i don't know if that's right tho.
A local boys club sold 196 bags of mulch and made a total of $357. It sold two types of mulch: hardwood for $2.00 a bag and pine bark for $1.75 a bag. How many bags of each kind of mulch did it sell?
Answers
Total 56 bags of hardwood and 140 bags of pine bark bags are sold.
In the given question, a local boys club sold 196 bags of mulch and made a total of $357.
It sold two types of mulch: hardwood for $2.00 a bag and pine bark for $1.75 a bag.
We have to find how many bags of each kind of mulch did it sell.
Let total number of x bags of hardwood sell.
Let total number of y bags of pine bark sell.
Now the equation should be
2x + 1.75y = 357............................(1)
Total number of bags sold 196.
So x + y = 196............................(2)
From the equation 2 the value of x = 196-y. Now putting the value of x in equation 1.
2(196 - y) + 1.75y = 357
392 - 2y + 1.75y = 357
392 - 0.25y = 357
Subtract 392 on both side, we get
-0.25y = -35
Divide by -0.25 on both side, we get
y = 140
Now putting the value of y in x = 196-y
x = 196 - 140
x = 56
Hence, 56 bags of hardwood and 140 bags of pine bark bags are sold.
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Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls.
Answers
The required inequality to represent the above data regarding Valentina is x > 3.
How to illustrate the inequality?Valentina uses more than 36 ounces of dough 12 cinnamon rolls made by Valentina of weight ounces of dough represented by x ,then required inequality is given by 12x > 36.
Number of cinnamon rolls made by Valentina = 12
Weight of all 12 cinnamon rolls are equal
x represents the ounces of dough used by Valentina to make cinnamon roll.
Ounces of dough used by Valentina is more than 36.
Required inequality to represent the above data is given by:
12x > 36
Divide by 12 form both the sides we get,
12x /12 > 36/12
x > 3
The inequality is x > 3.
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Complete question
Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls. Let x represent how many ounces of dough Valentina uses for each cinnamon roll. Which inequality describes the problem?
use the pythagorean theorem to find the value of c.
Answers
Answer:
c = [tex]\sqrt{296}[/tex]
Step-by-step explanation:
Using Pythagoras' theorem in the right triangle , with c the hypotenuse
c² = 10² + 14² = 100 + 196 = 296 ( take the square root of both sides )
c = [tex]\sqrt{296}[/tex] ≈ 17.2 ( to 1 dec. place )
Sunnyvale School is having their
annual lobster race. A team
consists of five lobsters. The
team score is the average of the five finishing place positions. His sister sally’s team has consistently finished behind his team, however, an unusual pattern has been noticed. For example, Sally’s first lobster finished right behind Peter’s first lobster. Her second lobster finished 2 places behind peter’s second lobster. Her third lobster finished 3 places behind peter’s third, her fourth was 4 places behind his fourth and her fifth was 5 places behind his fifth.
What is Sally's team score?
Answers
Sally's team score is 6.
We can determine Sally's team score by calculating the average of her team's finishing place positions.
From the information given, we know that:
Sally's first lobster finished one place behind Peter's first lobster.Sally's second lobster finished 2 places behind Peter's second lobster.Sally's third lobster finished 3 places behind Peter's third lobster.Sally's fourth lobster finished 4 places behind Peter's fourth lobster.Sally's fifth lobster finished 5 places behind Peter's fifth lobster.If we assume that Peter's team finished in 1st, 2nd, 3rd, 4th and 5th places, then we can calculate Sally's team score as follows:
Sally's first lobster finished in 2nd placeSally's second lobster finished in 4th placeSally's third lobster finished in 6th placeSally's fourth lobster finished in 8th placeSally's fifth lobster finished in 10th placeTo find the average of the five finishing place positions, we add up all the places and divide by 5:
(2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6
So, Sally's team score is 6.
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What is 7,648 rounded to the nearest hundred?
Answers
Answer:
7,600.
Step-by-step explanation:
The 6 is the hundreds digit - as the next digit after it is 4 we leave the 6 as it is so the answer is 7,600.
Answer:
7600
Step-by-step explanation:
First, 7648 rounded to the nearest hundred is:
7600
A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?
Solve these problems any way you choose.
Answers
1) 1000 AA Batteries in one Case.
2) 10,000 AA Batteries in One carton.
3) 100,000 AA Batteries in 10 cartons.
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.
We have to given that;
The Store sells AA batteries in the order below:
⇒ 10 batteries in 1 packages
⇒ 10 packages in 1 box
⇒ 10 boxes in 1 case
⇒ 10 cases in 1 Carton
1) We want to determine how many AA batteries are in 1 Case;
Using Multiplication
Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box
= 1000 AA Batteries
2) We want to determine how many AA batteries are in 1 Carton;
From Part (a),
There are 1000 AA Batteries in 1 Case.
Since, There are 10 Cases in 1 carton.
Number of Batteries in 1 carton = 10 × 1000
= 10,000 AA Batteries
3) 10 Cartons
⇒ 1 carton = 10000 AA Batteries
Therefore, We get;
⇒ 10 Cartons = 10 × 10000
= 100,000 AA Batteries
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Help aspp please thank you show ur work if you like
Answers
The equation indicates that the given equation's constant variable is 8.
What is the name of the variational constant?In other words, you may claim that y directly depends on x or that y is directly proportional to x. The continuity equation or the constant variable variation in this function is m (or k). a direct variation's product of two variables or the result of two variables in such an inverse variation K is the constant of variation in the direct variation equations.
According to the given information:"X fluctuates directly as Y" denotes that as y rises, x also rises by the same amount. In other words, the ratio between y and x is constant and is:
x = k × y
where k is the constant of variation.
Here,
it is given that y varies as x,
if y=24 and x=3,
therefore,
y = kx
24 = 3k
∴ k = 8
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How many different outfits can you make from 5 T-shirts, 3 pairs of
jeans, and 2 pairs of shoes?
Answers
Answer:
You can have a total of 15 outfits.
Step-by-step explanation:
Answer:answer above is correct
may someone please help me out
Answers
9h is the correct answer I believe.
The formula for volume of a cube is Length × Width × Height
3 × 3 × h = 9h
Volume is cubed not squared, so I would choose 9h.
A lost tourist arrives at a point with 2 roads A and B. Road A leads to the city and takes either 4 or 8 hours, depending on traffic, with equal probability. Road B brings him to the city after 7 hours on average. Since there are no signs on the road, the tourist chooses a road with equal probability; what is the expected time until the tourist arrives to the city
Answers
The expected time until the tourist arrives in the city is 4.75 hours.
The expected time until the tourist arrives at the city can be calculated by using the formula for the expected value:
Expected value = (probability of outcome 1) x (value of outcome 1) + (probability of outcome 2) x (value of outcome 2) + ...
In this case, there are two possible outcomes: the tourist takes road A or road B.
If the tourist takes road A, the expected time until he arrives in the city is the average of the two possible travel times (4 hours and 8 hours). The probability of this outcome is 0.5 (the tourist has an equal chance of choosing either road). So, the expected value for this outcome is (0.5) x (4 + 8)/2 = 6 hours.
If the tourist takes road B, the expected time until he arrives in the city is 7 hours. The probability of this outcome is also 0.5. So, the expected value for this outcome is (0.5) x 7 = 3.5 hours.
To find the overall expected time until the tourist arrives in the city, we add up the expected values for each outcome:
Expected time = (0.5) x 6 + (0.5) x 3.5 = 4.75 hours
So the expected time until the tourist arrives in the city is 4.75 hours.
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VX
Linear equation: -Ź (6
(6x + 10) = 13
Step 1.-3x - 5 = 13
Step 2: -3x = 18
Step 3: x= -6
Which sequence describes the inverse operations used
for steps 2 and 3 to solve the linear equation?
O the addition property of equality and then the
division property of equality
O the addition property of equality and then the
multiplication property of equality
O the subtraction property of equality and then the
division property of equality
O the subtraction property of equality and then the
multiplication property of equality
Done
Intro
Answers
The base of a triangle is 12 in and the area of the triangle is 54 sq. in. What is the height of the triangle?
Answers
Answer:
12 x X x 1/2 = 54
12x x 1/2 = 54
x2 x2
12x = 108
divide by 12 on both sides:
X = 9
Let's double check!
9 x 12 = 108
108 divided by 2 = 54
IT WORKS!
Therefor your answer will be,
9!
Terry had to travel outh 50 mile and then wet 25 mile. Find the hortet ditance between the tart and end point
Answers
Shortest distance between start and end point is 55.9 miles
According to given statement,
Terry had to travel south 50 miles and then west 25 miles.
We are taking X as a start point and Z is end point.
In triangle XYZ, we are taking angle Y to be of 90 degrees, which qualifies the Triangle XYZ to qualify Pythagorean theorem [The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right angle triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.]
XY = 50 miles
YZ= 25 miles
XZ^2 = XY^2 + YZ ^2
XZ^2 = (50) ^2 + (25) ^2 = 3125
XZ = 55.9
Shortest distance between start and end point is 55.9 miles
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Complete the inequality below to describe the
domain of the graph shown.
Domain:
DONE
completo the inequality holow to dogorike the
Answers
On solving the provided inequality equation we cans ay that therefore, 60x + 45 <250 is the necessary inequality for the given situation.
Describe inequality.An inequality in mathematics shows how two values are related in an imbalanced algebraic expression. According to inequality signals, one of the two variables on either side of the inequality may be larger than, greater than or equal to, less than, or less than or equal to another value.
If the daily cost for each crew member is $60, the daily wage for crew members is $60, and the daily cost of operations is $45; the amount paid equals the total of the wages for each crew member plus the cost of operations. In this case, let x indicate the size of the crew.
= 60x + 45
Since the maximum daily payment is $250,
In other words, the total payment cannot be more than $250.
60x + 45 ≤ 250
Therefore , the required inequality for given problem is 60x + 45 ≤ 250.
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The lengths of the sides of a rectangular rug are 2 feet more than the widths. If Sammy decides to buy a new rug whose sides are all 4 feet longer than the original rug, write and expression that represents the area of the new rug.
Answers
W^2+2W
New Rectangle = (W+4)*(W+6)
W^2+10W+24
Area of New Rug = Old Rug + 8*Width + 24
What is the range of f?
A. -3<_f(x)<_7
B. The f(x)-values -3,3,6, and 7
C. -6<_f(x)<_6
D. The f(x)-values -6,-4,-3, and 6
Answers
The range of f is C.
What is range?
Range is the difference between the highest and lowest values in a set of data. It is a measure of variability, providing an indication of how widely values in the data set are dispersed from one another. In statistics, range is an important tool that helps to describe and summarize data. Range is also used to measure the dispersion of data within a data set, including the degree of spread or variability in the data.
-6<_f(x)<_6. This means that the f(x)-values range from -6 to 6, including -4 and -3. The range of f does not include -3, 3, 6, and 7, which are not within the range of -6 to 6.
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What is the solution to this equation?
Answers
Answer:
4/9
Step-by-step explanation:
Though that may be just my ancient kicking in
A die is rolled 8 times. Find the probability P(of exactly 6 occurrences of 3).
Answers
The Sanchez Family pays $1,975 per month to rent a four-bedroom house. They are planning to buy a house and make monthly payments of $2,590. If the cost of moving was $545, find their additional cost for housing the first year.
Answers
$2,590 x 12 months = 31,080
+ $545 = $31,625
HELP DUE IN 10 MINS!
What are the values of x and y for the irregular pentagon below.
x =?? degrees
° y =?? degrees
Answers
Answer:
x = 91
y = 98
Step-by-step explanation:
x: 180 - 89 = 91
y: 180 - 82 = 98
Hope this helps!
If the probability of getting a reult in an experiment i 75. 3%, what i the probability of not getting that reult? Select the bet choice
Answers
The probability of not getting result is found as 24.7%.
Explain the probability of experiment?The number of times an event happened during the experiment as a percentage of all the times the experiment was run is known as the experimental probability of that event occurring.
Theoretical Probability: the mathematically predicted outcomes of an experiment.Experimental Probability: the likelihood that the experiment will actually succeed.The mathematics of opportunity is known as probability (p). The probability of an event (E) occurring is shown through probability.Any occurrence can have its likelihood expressed as a number between 0 and 1, with 1 being the most likely outcome.The likelihood of an impossibility is zero. One represents the probability of an event. A probability between 0 and 1 can be attributed to any other events that fall in between these two extremes.So,
P(Result) = 0.753.
P(no result) = 1 - 0.753
P(no result) = 0.247
Thus, the probability of not getting that result is found as 24.7%.
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The correct question is-
If the probability of getting a result in an experiment is 75. 3%, what i the probability of not getting that result?
A sine function has the following key features:
Period = 4
Amplitude = 4
Midline: y = 1
y-intercept: (0, 1)
The function is not a reflection of its parent function over the x-axis.
Answers
The sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].
What is sine function?
The trigonometric functions in mathematics are real functions that relate the right-angled triangle's angle to the ratios of its two side lengths. They are extensively used in all fields of geometry-related science, including geodesy, solid mechanics, celestial mechanics, and many others.
The general sine function is
[tex]y = Asin(b(x+c)+D[/tex]
Where
Amplitude = A
Period = [tex]\frac{2\pi }{B}[/tex]
Phase shift = c
Vertical shift = D
Given:
A = 4 (amplitude)
[tex]\frac{2\pi }{B} = 4[/tex] (period)
[tex]B = \frac{\pi }{2}[/tex]
Since midline: y = 1
And we know that graph of [tex]4sin(\frac{\pi }{2}x)[/tex], midline to be y = 1.
It must have vertical shift D = 1.
Since, y - intercept (0, 1)
⇒ x = 0, y = 1
⇒ It has no phase shift ⇒ c = 0
Since it satisfy [tex]y = 4sin(\frac{\pi }{2}(x+c))+D[/tex]
The graph of the sine function is attached below.
Hence, the sine function becomes, [tex]y = 4sin(\frac{\pi }{2}x) + 1[/tex].
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Please just write the numerical value of the volume of the prism.
I really need an answer for this FAST so if anybody can answer id really appreciate it :)
Answers
The volume of the prism in the attached figure is calculated to be
672 m³
How to find the volume of the prismIn the given problem, the formula used for volume of prism is
= area of base * height
Assuming a triangular base
area of triangular base = 1/2 * base * height
where
base = 12 m
height = 14 m
area of triangular base = 1/2 * 12 * 14
area of triangular base = 84 m²
The volume of the prism with a triangular base
volume of the prism = area of triangular base * height
where
area of triangular base = 84 m²
height = 8 m
volume of the prism = 84 * 8
volume of the prism = 672 m³
The volume of the prism is solved to be 672 m³
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a net of a building is show below what is the total surface area of the building block
Answers
Answer:D
Step-by-step explanation:
Answer:
the first or the two
Step-by-step explanation:
plz answer will give 5* brainliest and thanks plz plz plz ur being timed xD
Answers
Answer:
y=2x+0
Step-by-step explanation:
The slope is rise over run (which is 10/5, so 2) and the y-intercept is 0,0
Willing to give brainliest on the first one to answer!! And, 30 points! (NO LINKS)
This is pretty easy, but oh well.
(05.07) The net of a pyramid is shown below:
The surface area of the solid is ____ square inches |
v
Answers
Answer:
14in. :|
Step-by-step explanation:
Marga earns 5% commission on the value of the homes she sells. Which equation can be used to determine her commission (C) on selling a home worth $375,000?
Answers
Answer:
375,000x0.05
Step-by-step explanation:
Multiply and it should be how much she receives
Amount of commission is $18,750
C = [Selling cost of house]rateGiven that;
Rate of commission = 5%
Selling cost of house = $375,000
Find:
Amount of commission
Computation:
Amount of commission
C = [Selling cost of house]rate
Amount of commission = [$375,000][5%]
Amount of commission = [$375,000][0.05]
Amount of commission = $18,750
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