A) No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
Lets define probability first
"Probability is the likeliness of occurrence of an event"
When we call a die fair, that means that each number on the die has an equal chance of occurrence when rolled.
If on 7 rolls, the outcomes were 7 each time, this doesn't mean that the chances of rolling a specific number on a fair die is changed. On the next roll, 3 will have the same probability as before that is 1/6
So,
The correct answer is:
A) No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Keywords: Probability, die roll
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Speed, Time, and Dis
1 a. Noah rides his bike with a constant
speed of 18 km/h. How long will he
take to travel a distance of
54 kilometers?
Answer:
3 hours
Step-by-step explanation:
Recall:
Distance = speed x time
we are given that speed = 18 km/h and distance = 54 km.
hence,
54 = 18 x time (divide both sides by 18 and rearrange)
time = 54/18 = 3 hours
Noah will take 3 hours to travel a distance of 54 kilometers at a constant speed of 18 km/h.
To determine how long Noah will take to travel a distance of 54 kilometers at a constant speed of 18 km/h, we can use the formula for time, which is:
Time = Distance / Speed
Let's calculate Noah's travel time:
Time = 54 km / 18 km/h = 3 hours
Noah will take 3 hours to cover the 54-kilometer distance on his bike.
HURRY 12 POINTS
This table is for a two-variable data set. Which is a correct description of the variables?
Name Ray Mary Ed Tia Rhonda Pam
Gender Male Female Male Female Female Female
Preferred Method of Learning Seeing Hearing Seeing Doing Doing Doing
A.
The variables are seeing, hearing, and doing. They are categorical variables.
B.
The variables are seeing, hearing, and doing. They are quantitative variables.
C.
The variables are gender and preferred method of learning. They are categorical variables.
D.
The variables are gender and preferred method of learning. They are quantitative variables.
Answer:
The correct description of the variables is given by as the following -
The variables are gender and preferred method of learning. They are categorical variables.
Step-by-step explanation:
The correct description of the variables is given by as the following -
The variables are gender and preferred method of learning. They are categorical variables.
Answer:
The variables are gender and preferred method of learning. They are categorical variables.
Step-by-step explanation:
Hope this helps
2x2 what is the answer to this math problem
Answer: The answer is 4.
Explanation: It is 4 because if you add 2 plus 2 you will get 4. Or if you put 2 sets of 2 it also equals 4.
What is the solution to x2 = 225?
O
A. X = 15 or x =
-15
O B. X = -15
OC. I = 15
D. r = 5 or x = -:
Dan
Answer:
x = ± 15
Step-by-step explanation:
Given
x² = 225 ( take the square root of both sides )
x = ± [tex]\sqrt{225}[/tex] = ± 15
That is x = - 15 0r x = 15
Answer:
Step-by-step explanation:
X² = 225
Finding the square root of both side
√X² = √225
X = 15 or -15
Does anyone know this?
Answer:
Just a guess but 101
Step-by-step explanation:
90-79=11. 90+11=101
How do you isolate the variable in 3x=9
Answer:
x = 3
Step-by-step explanation:
you would divide both sides by three to get the x alone giving you
x = 9/3
Natalia Leon bought a new bicycle for $248. The sales tax rate is 6 percent. What is the total purchase price
a. $368.22
C. $262.88
b. $234.66
d. $12.40
Answer:
c. $262.88
Step-by-step explanation:
248× 0.06= $14.88
248+14.88= 262.88
which of the following is an example of chemical property
a. boiling point
b. melting point
c. electric conductivity
d. decomposition caused by heat
Heat-induced decomposition is an illustration of chemical property.
Trying to break down is the phenomenon of decomposing. Whenever a substance is heated, it undergoes thermal breakdown, which is a chemical process.
At high temperatures, thermal breakdown processes occur. Before collapsing into the products, the reactions absorb a lot of energy.
So, Option "D" is the correct answer to the following question.
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Decomposition caused by heat is an example of a chemical property because it involves a substance changing into different substances through a chemical reaction.
Explanation:The question asks which of the following options is an example of a chemical property. Chemical properties are characteristics of a substance that indicate its ability to undergo a chemical change, resulting in the formation of new substances. Options like boiling point, melting point, and electric conductivity are considered physical properties because they describe aspects of a substance that can be observed or measured without changing the substance's chemical identity. In contrast, an option like decomposition caused by heat is a chemical property because it involves a chemical change where the original substance is transformed into different substances as a result of the chemical reaction induced by heat.
Therefore, the correct answer to the original question, "which of the following is an example of a chemical property?" is:
d. decomposition caused by heatSimilarly, from the reference exercises provided, flammability is also a chemical property. It specifies a substance's ability to burn or ignite, causing it to change chemically and form new substances as it reacts with oxygen in the air.
The second side of a triangular deck is 4 feet longer than the shortest side , and the third side is 4 feet shorter than twice the length of the shortest side. If the perimeter of the desk is 76 feet , what are lengths of the three sides
The lengths of the three sides of the triangular deck are 19 feet, 23 feet, and 34 feet. The shortest side is 19 feet, the second side is 23 feet, and the third side is 34 feet, and they add up to a perimeter of 76 feet.
Let's denote the length of the shortest side of the triangular deck as "x" feet.According to the problem:The second side is 4 feet longer than the shortest side, so its length is "x + 4" feet.The third side is 4 feet shorter than twice the length of the shortest side, so its length is "2x - 4" feet.Now, we can use the perimeter formula for a triangle, which is:Perimeter = Sum of all sidesIn this case, the perimeter is given as 76 feet, so we can write:x + (x + 4) + (2x - 4) = 76Now, let's solve for x:Combine like terms:4x = 76Divide both sides by 4:x = 19So, the shortest side of the triangular deck is 19 feet.Now, we can find the lengths of the other two sides:The second side is "x + 4," which is 19 + 4 = 23 feet.The third side is "2x - 4," which is 2 * 19 - 4 = 38 - 4 = 34 feet.Therefore, the lengths of the three sides of the triangular deck are 19 feet, 23 feet, and 34 feet.For more questions on sides -
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Please help!!!!!!!!!!!!
Answer:
The fraction is: [tex]$ \frac{\textbf{21}}{\textbf{110}} $[/tex]
Step-by-step explanation:
Given that the income is 66000 $ and the amount spent on taxes is 12600 $.
Therefore, the ratio of the amount of taxes and the income
[tex]$ = \frac{12600}{66000} $[/tex]
[tex]$ = \frac{126}{660} $[/tex]
Simplifying, we get: [tex]$ \frac{\textbf{21}}{\textbf{110}} $[/tex]
Hence, the answer.
Find PR
PR = 2x
RQ = 25
PQ = 6+3x (adding 2 lengths as seen on diagram)
Answer:
Therefore,
[tex]PR=10\ unit[/tex]
Step-by-step explanation:
Given:
PR = 2x
RQ = 25
Say M divide PQ such that
PM = 6
MQ = 3x
∠PRM ≅ ∠QRM
RM is the angle Bisector of angle PRQ
To Find:
PR = ?
Solution:
Angle Bisector Theorem:
The angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle.
It equates their relative lengths to the relative lengths of the other two sides of the triangle.
Here RM is the angle Bisector of angle PRQ
Therefore,
[tex]\dfrac{PR}{RQ}=\dfrac{PM}{MQ}[/tex] ...Angle Bisector Theorem.
Substituting the values we get
[tex]\dfrac{2x}{25}=\dfrac{6}{3x}\\\\x^{2}=25\\Square\ Rooting\\x=\pm\sqrt{25}\\x=5[/tex]
As x cannot be negative x =5
Substituting x value in PR we get
[tex]PR=2\times 5=10\ unit[/tex]
Therefore,
[tex]PR=10\ unit[/tex]
(- 7 10 ÷ - 2 5 ) × (6 − 1.25) =
Answer: 134.9
Step-by-step explanation: Simplify the expression.
Hope this helps you out!
A population y of coyotes in a national park triples every 20 years. The function y = 15(3)^x
represents the population, where x is the number of 20 year periods.
a. Find and interpret the y-intercept.
b. How many coyotes are in the national park in 40 years?
Answer:
a. y int. = initial amount of coyotes
b. 135 coyotes
Step-by-step explanation:
a. when x = 0, you get y int. = 15 coyotes. This shows that at the very beginning, you had 15 coyotes.
b. 40 years = two 20 year periods. x = 2 after 40 years
y = 15 * (3)^2
y = 135 coyotes
a. y int. = initial amount of coyotes
b. 135 coyotes
The calculation is as follows:a. when x = 0, you get y int. = 15 coyotes.
This represent that at the very beginning, you had 15 coyotes.
b. 40 years = two 20 year periods. x = 2 after 40 years
[tex]y = 15 \times (3)^2[/tex]
y = 135 coyotes
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A technology company produces two types of calculators.
• They must produce at least 10 and not more than 30 graphing calculators per day.
• Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.
• The number of scientific calculators cannot exceed 40 per day.
If x is the number of graphing calculators produced daily and y is the number of scientific calculators produced daily, what are the constraints ?
10 ≤ x ≤ 30, x < 2y, x < 40.
Solution:
Given x is the number of graphing calculators produced daily and
y is the number of scientific calculators produced daily.
Step 1: A company produce atleast 10 and not more than 30 graphing calculators per day.
⇒ 10 ≤ x < 30
Step 2: Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.
⇒ x < 2y
Step 3: The number of scientific calculators cannot exceed 40 per day.
⇒ x < 40
Hence, the constraints are 10 ≤ x ≤ 30, x < 2y, x < 40.
If f(x) = 4(3x - 5), find f-1(x)
Answer:
[tex]f^{-1}(x) = \frac{1}{12}(x+20)[/tex]
Step-by-step explanation:
Given: f(x) = 4(3x - 5)
Is required to find f⁻¹(x)
f(x) = y = 4(3x - 5)
∴ y = 4 * 3x - 4 * 5
∴ y = 12x - 20 ⇒ add 20 to both sides
∴ y + 20 = 12x ⇒ divide both sides by 12
∴ [tex]\frac{1}{12} (y+20) = x[/tex]
Replace the places of x and y.
∴ [tex]y=\frac{1}{12} (x+20)[/tex]
∴ [tex]f^{-1}(x) = \frac{1}{12}(x+20)[/tex]
(Full question above)
The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.
A.60
B.300
C.540
D.780
Answer:
B. 300
Step-by-step explanation:
Final figure volume = big cuboid volume - small cuboid volume
Volume of a cuboid = height x width x length
Final figure = (6 x 6 x 15) - (4 x 4 x 15)
Final figure = 540 - 240
Final figure = 300mm^2
To calculate the volume of a solid rectangular prism with a hole, subtract the volume of the hole from the volume of the prism. Without specific dimensions, we cannot determine the exact volume from the given options.
Explanation:To find the volume of a three-dimensional figure that is a solid rectangular prism with a hole through the center, we need to subtract the volume of the hole from the volume of the solid rectangular prism. If the dimensions are not given in the question, we can look at examples provided in similar problems.
For instance, in problem 13, the volume of a rectangular solid with a square face of 5 cm and a length of 10 cm is found by multiplying its dimensions: Volume = length × width × height = 5 cm × 5 cm × 10 cm = 250 cm³. Similarly, we would calculate the volume of the outer prism and the inner prism in the given problem and subtract the inner volume from the outer to find the final volume.
The options provided (A. 60, B. 300, C. 540, D. 780) suggest specific volumes. Given the lack of specific dimensions in the question, it is not possible to determine the correct answer from the options provided without additional information.
What is -5x-10=10 answer
Answer:
-4
Step-by-step explanation:
-5x-10=10
+10 +10
-5x=20
÷-5 ÷-5
×=-4
4 decimals whose sum is 2.35
Answer:
One way you can solve this problem would be to take 2.35/4
2.35/4= .5875
Then you can add .5875 + .5875 +.5875 +.5875
Which equals 2.24
.5875 + .5875 +.5875 +.5875
Hope this helps ;)
To find four decimals whose sum is 2.35, you can set up a system of equations and solve for the values. The four decimals are 0.10, 0.20, 0.15, and 0.15.
Explanation:The question is asking for four decimals whose sum is 2.35. To find these decimals, we can assign variables to each decimal (let's call them a, b, c, and d) and set up an equation: a + b + c + d = 2.35. Since we want the decimals to have only two places after the decimal point, we can express them in hundredths. For example, instead of 0.1, we can write it as 10/100 = 0.10.
Now, we can set up a system of equations:
a + b + c + d = 2.35
a = 10/100
b = 20/100
c = 15/100
d = 15/100
By substituting the values back into the first equation, we have: (10/100) + (20/100) + (15/100) + (15/100) = 2.35. Simplifying the equation, we have 0.10 + 0.20 + 0.15 + 0.15 = 0.60. Therefore, the four decimals whose sum is 2.35 are 0.10, 0.20, 0.15, and 0.15.
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6. Persevere Mr. Alton wants to be
tickets for a show. The tickets are for
seats in 3 rows with 3 seats in each
row. The total cost of the tickets
is $81. Each ticket costs the same.
What is the cost of one ticket?
Answer:
Each ticket it 9$
Step-by-step explanation:
3 by 3 is 3 times 3
3 times 3 is 9
$81/9 is 9
You want to deliver a package to Japan. The FedEx delivery service charges a $15 flat fee plus $2 per additional kilogram. You can also use the USPS Priority Mail service which charges you $5 per kilogram. After how many kilograms will the total costs of the two options be the same?
Answer:
5kg
Step-by-step explanation:
Step 1.
Write in y=mx+c format
m= $/kg
c=flat fee
x=additional kilograms
FedEx:
y=2x+15
USPS:
y=5x
Step 2.
Keep Changing the x value (the no. of kilograms) in both equations until y is the same number
y=5×5
=25
y=2×5+15
=25
∴It would cost the same for both options at 5kg
Answer:
5kg
Step-by-step explanation:
Step 1.
Write in y=mx+c format
m= $/kg
c=flat fee
x=additional kilograms
FedEx:
y=2x+15
USPS:
y=5x
Step 2.
Keep Changing the x value (the no. of kilograms) in both equations until y is the same number
y=5×5
=25
y=2×5+15
=25
∴It would cost the same for both options at 5kg
PLEASE HELP PLEASE
A group of 20 people from the retirement community is visiting the fair today. Each person is between 75 and 79 years old and will participate in either the Pie Eating Contest or the Chili Cookoff. If all 20 people joined the same event, how would the shape of the histogram change compared to the original?
Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50. Histogram with title Chili Cookoff, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 30, the second goes to 50, the third goes to 40, and the last goes to 10.
The Chili Cookoff would be more skewed.
The Pie Eating Contest would be more skewed.
The Chili Cookoff would be less symmetrical.
The Pie Eating Contest would be more symmetrical.
Answer:
The Pie Eating Contest would be more skewed.
Step-by-step explanation:
In order to answer this, first we need to draw original histograms for both of these two events. Since all of the 20 people from the retirement community is attending one of the events, but we don't know which one, we need to draw new histograms for each of the events (see the attachment).
The only distinction of new histograms is the change in the fourth bin representing the 60-79 age group, since all visitors from retirement community fall into this age group.
A histogram is symmetrical if, when split in half by a vertical line, its left and right half act approximately as an object and its reflection in the mirror.
A histogram is skewed if, when split in half by a vertical line, one of its halves shows much greater values then the other.
So looking at our histograms, if all 20 people went to a Pie Eating Contest, that histogram would become more skewed and if all 20 people went to a Chili Cookoff, that histogram would become more symmetrical, which makes b) the correct answer.
Based on the information given, the correct option is B. The Pie Eating Contest would be more skewed.
From the information given, it was stated that a group of 20 people from the retirement community is visiting the fair today and that each person is between 75 and 79 years old and will participate in either the Pie Eating Contest or the Chili Cookoff.In a situation where all the 20 people joined the same event, the shape of the histogram will change compared to the original as the pie-eating contest would be more skewed.This implies that when split in half by a vertical line, one of its halves will have greater values than the other.
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Find the measure of x in each figure
Answer:
The answer is in both because, the x goes into 3 accordingly. Also in 30 degrees you move upward, and they both factor into the same equations.
Answer:
Step-by-step explanation:
What is 4 9/8 as a simplified fraction
Answer:
5 1/8
Step-by-step explanation:
4 9/8 is an improper fraction since the numerator is greater than the denominator. To simplify it, you can find how many total eighths there are. 4*8 = 32, and 32 + 9 = 41. Therefore, there are 41/8. There are 5 eights in 41, with one as a remainder, so 4 9/8 simplifies to 5 1/8.
The value of the mixed number A = 4 9/8 is A = 5 1/8
What are Mixed Numbers?A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.
Given data ,
Let the mixed number be represented as A
Now , the value of A is
A = 4 9/8 be equation (1)
On simplifying the equation , we get
A = 4 9/8
A = ( 32 + 9 ) / 8
A = 41 / 8
Now , the value of A is an improper fraction , and to convert in into a mixed number , we get
The value of A = 5 1/8
Therefore , the value of A is 5 1/8
Hence , the mixed number is 5 1/8
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h divided by 6 equals 47
multipy 47 by 6 and then plug in your answer into h
what is 100-100-100-100-100-100-100-100-100-100-100-100
Answer:
-1000
Step-by-step explanation:
(100-100)-(100+100+100+100+100+100+100+100+100+100)=
= 0 - (100+100+100+100+100+100+100+100+100+100)
= -(100 + 100+100+100 + 100+100+100 + 100+100+100)
= -(100×10)
= - 1000
Answer:
-1000
Step-by-step explanation:
The height of a tree in feet, y, is modeled by the equation y = 2.5x + 3, where x represents
the age of the tree in years. How old will the tree be when it is 33 feet tall?
Answer:
85.5 feet tall
Step-by-step explanation:
2.5(33)+3
82.5+3
85.5
You are trying to order 1/4 pound of saffron, but the ordering system wants a decimal.What should you type in?
Answer:
Step-by-step explanation:
1/4 = (1 divided by 4) = 0.25
To convert 1/4 pound of saffron to a decimal for an ordering system, divide 1 by 4, resulting in 0.25. Therefore, the appropriate decimal to enter is 0.25.
The question involves converting a fraction to a decimal for the purpose of entering an order quantity in a system. In this case, we want to convert 1/4 pound of saffron into a decimal. To do this, simply divide the numerator (1) by the denominator (4). Therefore, 1 divided by 4 equals 0.25. Hence, you should type 0.25 into the ordering system to order 1/4 pound of saffron.
What percent is 93 out of 930?
Answer:
it is 100 pls give me braiy if I'm right s
**WORTH 75 PONITS*
Lily had 16 tomatoes she give Brandy 1/8 of tomatoes,
sadie 1/2 of the tomatoes,
and Kiley 1/4 of the tomatoes.
how many tomatoes did lily give away?
how many tomatoes did sasha have left?
what fraction of the tomatoes did lily have left?
Answer:
she gave away 14 I think.
If you mean Lilly she had 2 left
1/8 tomatoes left
Step-by-step explanation:
1/8=2 1/2=8 1/4=4. 2+8+4=14
A recipe calls for 120 mL of milk for each 200 g of flour.Juan is going to use 1 pound of flour. Estimate the number cups of milk Juan should us
Final answer:
To find how much milk Juan should use for 1 pound of flour, convert the flour to grams (454 g), set up a proportion based on the recipe's ratio, solve for the milk in milliliters, and then convert to cups. Juan will need approximately 1.135 cups of milk, or roughly 1 and 1/8 cups.
Explanation:
The question involves calculating how much milk Juan should use in his recipe based on the amount of flour he has. Since the recipe calls for 120 mL of milk for each 200 g of flour, we need to find out the equivalent amount for 1 pound of flour.
First, let's convert 1 pound of flour to grams, knowing that 1 pound is equivalent to approximately 454 grams. The recipe ratio is 120 mL to 200 g of flour, so we set up a proportion:
200 g flour : 120 mL milk = 454 g flour : x mL milk
To solve for x, we use cross multiplication:
(200 g) * (x mL) = (120 mL) * (454 g)
x = (120 mL * 454 g) / (200 g)
x ≈ 272.4 mL
Since there are about 240 mL in 1 cup of milk, we can convert the milliliters to cups:
x ≈ 272.4 mL / 240 mL/cup
x ≈ 1.135 cups of milk
Therefore, Juan should use approximately 1.135 cups of milk for 1 pound of flour. For ease of measuring, Juan can round this to about 1 and 1/8 cups of milk.