Answer:
y = kx
Step-by-step explanation:
Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.
The ratios that represent quantities that are proportional is
15/10 and 21/14
Option B is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
When two ratios are equal it is said that the ratios are in proportion.
4/6 and 10/16
4/6 = 2/3
10/16 = 5/8
The ratios are not equal.
15/10 and 21/14
15/10 = 3/2
21/14 = 3/2
The ratios are equal.
25/35 and 20/24
25/35 = 5/7
20/24 = 5/6
The ratios are not equal.
9/5 and 19/10
The ratios are not equal.
Thus,
The ratio that is proportional is 15/10 and 21/14.
Learn more about ratios here:
https://brainly.com/question/2462048
#SPJ2
i need #14 to be answered if you want you can answer more ❤️
Answer:
H-40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
At the Rockville middle school carnival, 4 of the first 160 people who played the ring toss game won the first prize, 8 won the second prize, and 12 won the third prize. What is the experimental probability of not winning the first,second , or third prize?
Answer: Which of the following expressions cannot be factored? Explain.
a. 6 + 3x
b. 7x + 3
c. 15x + 10
d. 30x + 40
Step-by-step explanation:
A golf tournament organizer is attempting to determine whether hole (pin) placement has a significant impact on the average number of strokes for the 13th hole on a given golf course. Historically, the pin has been placed in the front right corner of the green and the historical mean number of strokes for the hole has been 4.25, with a standard deviation of 1.6 strokes. On a particular day during the most recent golf tournament, the organizer placed the hole (pin) in the back left corner of the green. Sixty-four golfers played the hole with the new placement on that day. Determine the probability of the sample average number of strokes exceeding 4.75 using the historical mean and standard deviation.
the probability of the sample average number of strokes exceeding 4.75 using the historical mean and standard deviation is approximately 0.0062, or 0.62%.
To determine the probability of the sample average number of strokes exceeding 4.75, we can use the Central Limit Theorem and the properties of the normal distribution.
Given that the historical mean number of strokes for the hole is 4.25 and the standard deviation is 1.6, we can consider the distribution of sample means for samples of size 64. The mean of the sample means will still be 4.25, and the standard deviation of the sample means (also known as the standard error) can be calculated by dividing the population standard deviation by the square root of the sample size.
The standard error = 1.6 / √64 = 1.6 / 8 = 0.2
Now, we can convert the sample average number of strokes of 4.75 to a z-score using the formula:
z = (x - μ) / σ
where x is the sample average number of strokes, μ is the population mean, and σ is the standard error.
z = (4.75 - 4.25) / 0.2 = 0.5 / 0.2 = 2.5
Next, we need to find the probability of the sample average number of strokes exceeding 4.75, which is equivalent to finding the probability of obtaining a z-score greater than 2.5.
Using a standard normal distribution table or a statistical software, we can look up the probability associated with a z-score of 2.5. The probability is approximately 0.0062.
To know more about number visit:
brainly.com/question/3589540
#SPJ11
How can someone's knowledge of math be applied to be more successful life?
Is this equation an identity?
0 = 16g − 16g
Yes as if you work it out everytime 16 - 16 is going to. Give you the output of 0
PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².
What is the Surface Area of the Composite Figure?Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.
Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².
Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²
Area of the surface both share together = 2(16)(5) = 160 m²
Total surface area = 276 + 328 - 160 = 444 m².
Learn more about the surface area of triangular prism on:
https://brainly.com/question/16147227
#SPJ1
4) TRY THIS! When you fold a rectangular piece of paper in half,
the fold creates two new rectangles. If you fold the folded piece
of paper again, the folds will create 4 rectangles. Every time you
fold the paper the number of rectangles will double. How many
rectangles will there be if you folded the piece of paper 10
times?
Help m en please right now
Answer:
yes me too
Step-by-step explanation:
-1.8(3-1.4h) simplify the expression
Answer:
-5.4 + 2.52h
Step-by-step explanation:
What is 29 divided by 5123
How much would you need to deposit in an account now in order to have $2000 in the account
in 5 years? Assume the account earns 6% interest compounded monthly.
Answer:
$1950.74
Step-by-step explanation:
step 1
x(1 + 0.06/12)^5=2000
step 2
x= 2000/(1 + 0.06/12)^5
= 1950.741337
Answer:
$946.21
Step-by-step explanation:
Can you solve x2-x-20=0 in algebra 1 explanation .
Answer:
x = 5, -4
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
x = 5, x = -4
Explanation:
Solve with the quadratic formula
\(x_{1,2} =\frac{-(-1)+-\sqrt{(-1)^2-4*1*(-20)} }{2*1}\) = \(x_{1,2} = \frac{-(-1)+-(9)}{2*1}\)
Separate the solutions
\(x_1 = \frac{-(-1)+9}{2*1} , x_2 = \frac{-(-1)-9}{2*1}\)
\(x_1 = 5\\x_2 = -4\)
percent of increase from 43 to 78
I need help plz
Answer: about 81.395%
Step-by-step explanation:
1) Subtract 78 - 43 to find the difference. ==> 35
2) Divide the increase by the original number, 43. ==> 35/43 = 0.8139534884
3) Multiply the answer by 100. ==> ~81.395%
BASICALLY: % increase = Increase ÷ Original Number × 100.
Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ?
Answer:
243 km
precio de los kilómetros: $2357.10
Step-by-step explanation:
precio total = tarifa mínima + precio de los kilómetros
Para x kilómetros,
P = 490 + 9.7x
P = 2847.1
490 + 9.7x = 2847.1
9.7x = 2357.1
x = 243
precio de los kilómetros: 243 × $9.70/km = $2357.10
Respuesta: 243 km
precio de los kilómetros: $2357.10
figure 2 was constructed using figure 1 for the transformation to be defined as a rotation which statrments must be true select three options
THE ANSWER IS FIGURE 2 BECAUSE THE FIGURES ARE CONSTRUCTED
Shawn drama made the two statements. It is not possible to draw a trapezoid that is a rectangle, it is possible to draw a square that is a rectangle
Shawn's first statement is correct. A trapezoid is a quadrilateral with at least one pair of parallel sides. A rectangle is a quadrilateral with four right angles and opposite sides of equal length. It is not possible to draw a trapezoid that is a rectangle, because the two shapes have different sets of properties.
However, Shawn's second statement is incorrect. A square is a type of rectangle in which all sides are of equal length. So, every square is a rectangle, but not every rectangle is a square. So it is not accurate to say that it is possible to draw a square that is a rectangle, because a square is already a type of rectangle.
To find more questions on Geometry
https://brainly.com/question/24375372
#SPJ4
What is the circumference in centimeters the circle is 24 centemeters in diamater
Answer:
75.398 cm to the nearest thousandth.
Step-by-step explanation:
Circumference = π * diemeter
= 24π
= 75.3982 cm
In Coach Bryant’s math class, he had his students create a net of a cube. An example of the net is below.
Net of a cube. The measurements for each side 2.5 in.
What is the total surface area of the cube?
37.5 in2
6.25 in2
31.25 in2
60 in2
Answer:7.5 in2
Step-by-step explanation:A=6a2=6·2.52=37.5in²
graph: y + 2 = 2 (x + 3)
A hospital director is told that 54% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is not the expected percentage. A sample of 260 patients found that 130 were insured. At the 0.05 level, is there enough evidence to support the director's claim
Yes, there is enough evidence to support the director's claim that the percentage of insured patients is not the expected percentage at the 0.05 level of significance. The calculated test statistic value exceeds the critical value, indicating a significant difference. The p-value being less than the significance level further strengthens the claim.
1. Set up the hypothesis: The null hypothesis (H0) is that the percentage of insured patients is equal to the expected percentage, and the alternative hypothesis (Ha) is that the percentage is not equal to the expected percentage.
2. Calculate the test statistic: Using the formula for the test statistic for a hypothesis test of proportions, the calculated test statistic value is approximately 2.06.
3. Determine the critical value and p-value: With a significance level of 0.05, the critical value is approximately 1.96 for a two-tailed test. The p-value associated with the test statistic is approximately 0.039.
4. Compare the test statistic to the critical value: Since the test statistic value of 2.06 exceeds the critical value of 1.96, we reject the null hypothesis.
5. Evaluate the p-value: The p-value of 0.039 is less than the significance level of 0.05, indicating strong evidence against the null hypothesis.
So, there is enough evidence to support the director's claim that the percentage of insured patients is not the expected percentage at the 0.05 level of significance.
To know more about hypothesis visit:
https://brainly.com/question/32562440
#SPJ11
HELP ME I WILL GIVE 20 POINTS PLS
the given proportional relationship y=0.5x with proportional constant is 1/2.
what is proportional relationship?
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.
Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.
For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.
So the equation will be y = kx
or y = 0.5(x)
Here proportional constant is 1/2 or 0.5.
For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.
Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.
Learn more about proportional relationship, by the following link.
brainly.com/question/12242745
#SPJ1
Please help, I needed help with this all day T-T, thank you.
Since P(x) = R(x) - C(x), then:
\(P(x)=(2x^4-3x^3+2x-1)-(x^4-x^2+2x+3)\)Then, simplify the expression above.
First, distribute the negative sign to the terms inside the second parenthesis.
\(P(x)=2x^4-3x^3+2x-1-x^4+x^2-2x-3\)Then, arrange the terms according to their degree.
\(P(x)=2x^4-x^4-3x^3+x^2+2x-2x-1-3\)Then, combine similar terms.
\(P(x)=x^4-3x^3+x^2-4\)Therefore, the value P(x) is x⁴ - 3x³ + x² - 4.
Tammy received
5
of the 49 votes cast for class vice-president. How many votes did she receive?
7
Write your answer in simplest form.
Answer:
Step-by-step explanation:
you will do 5+49 if u gain something u are adding the answer would be 98
how do you decompose a number into a prime number
Answer:
Find two numbers that multiply to equal the original number; write them as numbers that branch off the original one. ..
.If either number is prime, circle it and end that branch.
Continue branching off non-prime numbers into two factors; whenever a branch reaches a prime number, circle it and close the branch.
Gina Wilson All Things Algebra Unit 4: Congruent Triangles Homework 7: Proofs Review: all methods
page 1
To identify which triangles are congruent measure the angles and sides of each of the triangles and compare them.
What is the meaning of congruent?In mathematics, the word congruent is used if two figures have the same size and shape, although their orientation can be different.
How to know if two triangles are congruent?In the case of triangles two factors should be considered:
Length of each side.Angles.This means that to determine if the triangles are congruent, you must measure each side and angle and make sure these are the same in each triangle.
Learn more about triangles in: https://brainly.com/question/25813512
) Show that if seven integers are selected from the first 10 positive integers, there must be at least two pairs of these integers with the sum 11. b) Is the conclusion in part (a) true if six integers are selected rather than seven
a. there must be at least two pairs of these integers with the sum 11. b. The conclusion in part (a) is not true if six integers are selected instead of seven.
a) To show that if seven integers are selected from the first 10 positive integers, there must be at least two pairs of these integers with the sum 11, we can use the pigeonhole principle.
In this case, we have 10 positive integers to choose from. If we select seven integers, we can think of each integer as a pigeonhole. Since we have more pigeons (selected integers) than pigeonholes (possible sums), by the pigeonhole principle, there must be at least one pigeonhole with at least two pigeons.
Let's consider the possible pairs of integers with a sum of 11:
(1, 10), (2, 9), (3, 8), (4, 7), (5, 6)
If we select seven integers, at least two of them must belong to the same pair, and their sum will be 11. Therefore, there must be at least two pairs of these integers with the sum 11.
b) If six integers are selected rather than seven, the conclusion in part (a) may not be true. Let's consider a scenario where we select the integers 1, 2, 3, 4, 5, and 6. In this case, there are no two pairs of integers with a sum of 11. The possible sums of pairs from these integers are:
(1, 10): Not selected
(2, 9): Selected
(3, 8): Not selected
(4, 7): Selected
(5, 6): Not selected
As we can see, with only six integers selected, we can choose them in such a way that there are no two pairs with a sum of 11. Therefore, the conclusion in part (a) is not true if six integers are selected instead of seven.
Learn more about integers here
https://brainly.com/question/929808
#SPJ11
I picked the second one, was I correct?
Answer:
yes
Step-by-step explanation:
what is the height of ABC is 30 centimeters, what is the length of a side of this triangle in the centimeters?
Since each triangle is a right triangle we can apply trigonometric functions:
Sin a = opposite side / hypotenuse
Where;
a = angle = 60° ( we are looking at the bottom left one)
Opposite side = 30 cm
Hypotenuse = AB
Replace:
Sin60 = 30 / AB
Solve for AB
AB = 30 / sin 60
AB = 34.64 cm
What is the volume of a sphere with a radius of 2.5? answer in terms of pi
options:
-20 5/6π
-25π
-8 1/3π
-15 5/8π
\(8 \frac{1}{3} \pi\)
Step-by-step explanation:
volume of a sphere = 4/3 pi r²
r = 2.5
4/3× pi× 2.5² = 25/3pi
25/3 as a mixed number is 8 and 1/3
therefore rhe answer is 8 and 1/3 pi
the area of the recatangle is 112cm square if the length of the rectangle is 14cm what is the width of the rectangle
Answer:8cm
Step-by-step explanation:112/14=8
1 point) a boy has 2 red , 6 yellow and 4 green marbles. in how many ways can the boy arrange the marbles in a line if... (a) ...marbles of the same color are indistinguishable?
If the marbles of the same color are indistinguishable, the boy can arrange the marbles in a line in 66,660 different ways.
If the marbles of the same color are indistinguishable, we can treat them as identical objects. In this case, we can use combinations to calculate the number of ways the boy can arrange the marbles.
The total number of marbles is 2 red + 6 yellow + 4 green = 12 marbles.
To calculate the number of ways to arrange these marbles in a line, we can use the concept of permutations with repetition. The formula for permutations with repetition is:
P(n; r1, r2, ..., rk) = n! / (r1! * r2! * ... * rk!)
where n is the total number of objects and r1, r2, ..., rk represent the repetition factors for each object.
In this case, the number of ways to arrange the marbles would be:
P(12; 2, 6, 4) = 12! / (2! * 6! * 4!)
Calculating this expression:
P(12; 2, 6, 4) = (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (2 * 1 * 6 * 5 * 4 * 3 * 2 * 1 * 4 * 3 * 2 * 1)
Simplifying:
P(12; 2, 6, 4) = 66,660
Therefore, if the marbles of the same color are indistinguishable, the boy can arrange the marbles in a line in 66,660 different ways.
To learn more about expression visit;
https://brainly.com/question/28170201
#SPJ11