To find Paul and Luis's ages, the ratio 2:3 is translated to 2x and 3x, and with the sum of their ages being 35 years, we solve the equation to find x = 7. Therefore, Paul is 14 years old and Luis is 21 years old.
Explanation:The question involves finding the ages of Paul and Luis given that the ratio of their ages is 2:3 and the sum of their ages is 35 years. To solve this, let's denote Paul's age as 2x and Luis's age as 3x, where x is a common multiplier. The equation based on the sum of their ages will then be:
2x + 3x = 35
Solving this equation, we combine like terms:
5x = 35
Now, divide both sides by 5 to find the value of x:
x = 35 / 5
x = 7
So, Paul's age is 2x which is 2 * 7 = 14 years, and Luis's age is 3x which is 3 * 7 = 21 years.
Number 13a and 13b, please.
Martha and steve have 95 colored pencils. If Martha has 4 times as many as steve, how many does Steve have
Answer:
Steve has 19 pencils
Step-by-step explanation:
4 times of 19 is 76
So, Martha has 76 and Steve has 19
76+19=95
hope this helps!
Stewart wants to know how many students in his school enjoy watching sports on TV. He asks this question to all 25 students in his science class and finds that 60% of his classmates enjoy watching sports on TV. He claims that 60% of the school's student population would be expected to enjoy watching sports on TV. Is Stewart making a valid inference about his population?
Yes, it is a valid inference because he asked all 25 students in his science class
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
No, it is not a valid inference because he asked all 25 students in his science class instead of taking a sample from his math class
Answer:
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school.
Step-by-step explanation:
50% of babies are born female. Olive wants to find the probability that 20 or more of the 50 babies born today were female. Use the simulation data to find the probability. Round to the nearest percent.
To find the probability that 20 or more out of 50 babies are female, use a binomial distribution with parameters n=50 and p=0.5. Calculate the cumulative probability for P(X ≥ 20). Based on a potential sample output, the probability rounded to the nearest percent is 95%.
Finding the Probability Using Binomial Distribution
The question is about finding the probability that 20 or more out of 50 babies born today are female, given that 50% of babies are born female. This scenario can be modeled using a binomial distribution.
In a binomial distribution, n represents the number of trials (in this case, 50 babies), and p represents the probability of success on a single trial (in this case, the probability of a baby being female, which is 0.5). The binomial distribution formula is:
P(X = k) = (nCk) * (p^k) * ((1-p)^(n-k))
Where nCk represents the combination of n items taken k at a time.
To find the probability that 20 or more out of 50 babies are female, we need to calculate the cumulative probability from 20 to 50:
Use a binomial table or software to find P(X ≥ 20) for n=50 and p=0.5.If using a calculator or software: P(X ≥ 20) = 1 - P(X < 20).After calculating or using a binomial table, you might get a result. For example, suppose the cumulative probability is found to be 0.9523. Rounded to the nearest percent, the probability is 95%.
Table
Food - 1/3
Housing - 1/3
Medical Care - 1/4
This year, the managers of the farm will change the fraction of the budget for housing to 1/8 but will leave the fraction of the budget for food and medical Care the same. Again, the remaining portion of the budget will be for maintenance expenses. What is the difference between the fraction of the budget for maintenance this year and last year?
Answer:
[tex]\frac{5}{24}[/tex]
Step-by-step explanation:
Previous year table .
Food - [tex]\frac{1}{3}[/tex]
Housing - [tex]\frac{1}{3}[/tex]
Medical Care - [tex]\frac{1}{4}[/tex]
So, total =[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{4}[/tex]= [tex]\frac{11}{12}[/tex]
Since we are given that the remaining portion of the budget will be for maintenance expenses.
So, maintenance expenses = [tex]1-\frac{11}{12}=\frac{1}{12[/tex]
Present year table
Food -[tex]\frac{1}{3}[/tex]
Housing -[tex]\frac{1}{8}[/tex]
Medical Care - [tex]\frac{1}{4}[/tex]
So, total =[tex]\frac{1}{3}+\frac{1}{8}+\frac{1}{4}=\frac{17}{24}[/tex]
Since we are given that the remaining portion of the budget will be for maintenance expenses.[tex]1-\frac{17}{24}=\frac{7}{24}[/tex]
The difference between the fraction of the budget for maintenance this year and last year = 7/24 - 1/12 = 5/24
Hence the difference between the fraction of the budget for maintenance this year and last year is 5/24
A straight line equation y=1/2x+1 the point p lies on the straight line.p has a y-coordinate of 5. Find the x-coordinate of p
A rectangular prism is completely packed with 90 cubes of edge length 1/2 inch, without any gap or overlap. Which of the following describes the volume of this rectangular prism?
A: 11 unit cubes and 1 smaller cube of volume 1/8 cubic inch
B: 22 unit cubes and 4 smaller cubes of volume 1/8 cubic inch each
C: 11 unit cubes and 2 smaller cubes of volume 1/8 cubic inch each
D: 22 unit cubes and two smaller cubes of volume 1/8 cubic inch each
Answer:
C. (11 unit cubes and 2 smaller cubes of volume 1/8 cubic inch each.)
Step-by-step explanation:
90 cubes * 1/8 inch = 11 1/8 inch.
What is the measure of the missing angle
Answer:
115
Step-by-step explanation:
i did the test
Francis teaches the piano. He charges each student an enrollment fee of $100 plus $15 per hour of piano lessons. The average cost of lessons for a student per hour is $25.
how to find irrational number between 3 and 4
Answer:
Step-by-step explanation:
a triangle has interior angles measuring 36° and 112° which triangles are similar to this triangle select true or false for each triangle
Answer:
Triangle with interior angles measuring 36° and 32°
Triangle with interior angles measuring 32° and 112°
Step-by-step explanation:
we know that
If two triangles are similar, then its corresponding angles are congruent
If two triangles have two equal internal angles, then the triangles are similar by AA Similarity Postulate
step 1
Calculate the measure of the third internal angle
Remember that the sum of the internal angles of a triangle must be equal to 180 degrees
so
Let
x------> the measure of the third internal angle
[tex]x\°+36\°+112\°=180\°\\ \\x=180\°-148\°\\ \\x=32\°[/tex]
step 2
Verify each triangle
case A) Triangle with interior angles measuring 36° and 32°
Is true -----> by AA Similarity Postulate
case B) Triangle with interior angles measuring 36° and 148°
Is false -----> Is not a triangle because the sum of its internal angles is greater than 180 degrees
case C) Triangle with interior angles measuring 32° and 112°
Is true -----> by AA Similarity Postulate
case D) Triangle with interior angles measuring 112° and 148°
Is false -----> Is not a triangle because the sum of its internal angles is greater than 180 degrees
Answer:
agree
Step-by-step explanation:
A cylinder has a radius of 16 m and a height of 9 m. What is the approximate surface area of the cylinder? Use 3.14 for π. A. 603 m2 B. 904 m2 C. 2512 m2 D. 14,469 m2
ANSWER IF YOU KNOW THE ANSWER!!!!!!!!!!!!!!!!!!!!
IF THE ANSWER IS WRONG I WILL REPORT YOU!!!!!!!!!!!!!
HELP! Multiplying radicals. Questions on photo.
Can someone help me with this question please?
We are given a parallelogram with sides:
3 1/8 and 2 3/16.
Let us convert each into improper fraction.
3 1/8 = 25/8
2 3/16 = 35/16
Now perimeter of parallelogram is given by:
[tex] P = 2(sum of non parallel sides) [/tex]
[tex] P= 2(\frac{25}{8} + \frac{35}{16}) [/tex]
Now we have to find lcd of 8 and 16.
lcd of 8 and 16 is 16.
[tex] P= 2(\frac{25*2}{8*2} + \frac{35}{16} ) [/tex]
[tex] P=2( \frac{50}{16} + \frac{35}{16} ) [/tex]
[tex] P= 2(\frac{50+35}{16} ) [/tex]
Perimeter = 85/8 km
Answer : Perimeter of parallelogram is given by 85/8 km.
Fifty six is what decimal part of 70
56 is 0.8 as a decimal fraction of 70.
What is Fraction?A fraction represents a part of a whole.
We have to find Fifty six is what decimal part of 70
To find what fraction 56 is of 70,
We have to divide Fifty six by seventy
56 / 70 = 0.8
Therefore, 56 is 0.8 as a decimal fraction of 70.
To learn more on Fractions click:
https://brainly.com/question/10354322
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solve the problem 22=4+8e-2e
The smaller rectangle was scaled by a factor of 4 to produce the larger figure.
Use the drop-down menus to show the missing dimensions of the scaled figure.
Answer:
Step-by-step explanation: so the problem is asking for the missing dimensions of the rectangle. The smaller rectangle has a length of 12 inches, a width of 8 inches, and an area of 96 inches. To clarify, 8x12 is 96 so when looking at the bigger rectangle, it says that it was scaled by a factor of 4.
The Answer-
Length:48
Width:32
Area:1,536
A cylinder has a radius of 14m and a height of 6m what is the exact volume of this cylinder
Hello!
A cylinder has a radius of 14m and a height of 6m what is the exact volume of this cylinder
Data:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?
Formula:
[tex]V = \pi *r^2*h[/tex]
Solving:
[tex]V = \pi *r^2*h[/tex]
[tex]V = \pi *14^2*6[/tex]
[tex]V = \pi *196*6[/tex]
[tex]\boxed{\boxed{V = 1176 \pi\:m^3}}\end{array}}\qquad\quad\checkmark[/tex]
if, we adopt: π= 3.14, so:
[tex]V = 1176*\pi \to V = 1176*3.14 \to \boxed{\boxed{V \approx 3692.64\:m^3}}\qquad\quad\checkmark[/tex]
________________________
I Hope this helps, greetings ... Dexteright02! =)
i need help I have to find the area of the composite figure
In Exercises 6 and 7, use the given measure to find the missing value in each data set.
6. The mean of the ages of 5 brothers is 13 years.
12, 16,__, 14, 8 7.
7. The median number of students in each music class is 19 people.
16,___, 24, 17, 20, 21 8.
Write a data set where both the mean and the median describe the data equally well. Explain your reasoning. _________________________________________________________________________________________ _________________________________________________________________________________________
PLEASE SHOW ALL WORK
7x to the fourth power- 5x to the fourth power
Help pls I don’t get it
How would you solve this problem? Help Please asap
You charged $65 dollars on a credit card and you returned a item hat was pitched with the card and it cost $24? Then u bought an item with he card that cost $24 dollars
How many subsets does A have?
Let A
equals
=
StartSet 9 comma 10 comma 11 comma 12 comma 13 comma 15 EndSet
{9,10,11,12,13,15}.
Which ratio can be used to convert meters to kilometers
HELP PLEASE
Which point on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units use 3.14 for TT
Answer:
Point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
Step-by-step explanation:
It is given that the radius of the cylinder is 4 units and the height of the cylinder is 4 units.
The volume of the cylinder is
[tex]V=\pi r^2h[/tex]
Where, r is radius and h is height of the cylinder.
Substitute r=4, h=4, π=3.14 in the above formula.
[tex]V=(3.14)\times (4)^2\times (4)[/tex]
[tex]V=200.96[/tex]
The volume of the cylinder is 200.96. Therefore, point E on the number line represents the approximate volume of a cylinder with a radius of 4 units and height of 4 units.
Answer:
The Answer is E
Step-by-step explanation:
I got it right on the test
Which of the following values is closest to the mean for the set of data shown below?
99, 78, 56, 11, 43, 22, 16, 31, 49, 28, 37, 29 38, 34
The mean of the given set of numbers is approximately 40.07, determined by summing all the numbers in the set and then dividing by the count of numbers in the set.
The question asks for the mean of a set of numbers. The mean is found by adding all the numbers in a set and then dividing by the total number of values in the set. To find the mean for the given data set (99, 78, 56, 11, 43, 22, 16, 31, 49, 28, 37, 29, 38, 34), we first add all the numbers:
99 + 78 + 56 + 11 + 43 + 22 + 16 + 31 + 49 + 28 + 37 + 29 + 38 + 34 = 561.
Next, we divide by the number of values, which is 14:
Mean = 561 ÷ 14 = 40.07. Therefore, the mean of the data set is approximately 40.07.
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points A(−6,5) , C(4,−3) , and D(−6,−3) . Point B is the fourth vertex of the rectangle.
What is the distance from point A to point B?
K12 grade 6th -MTH
Answer:
The correct answer is 10.
Explanation:
I took the test and Aced it. Aka, got 100%
The answer top guy gave is incorrect.
Guarantee .
Hope this helps.
Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters. If the train travels at a speed of 180 kilometers per hour, how long will it take Lola to travel from Paris to Nice?
Answer:
It will take 5 hours for Lola to travel from Paris to Nice.
Step-by-step explanation:
Lola takes the train from Paris to Nice. The distance between the two cities is about 900,000 meters.
We will convert this to km.
1000 meter = 1 km
900000 meter = [tex]\frac{900000}{1000}[/tex] = 900 km
The train travels at a speed of 180 kilometers per hour, so time taken to travel from Paris to Nice will be = [tex]\frac{900}{180} =5[/tex] hours
Hence, it will take 5 hours for Lola to travel from Paris to Nice.