MATHEMATICS COLLEGE

61+r=122 so what is r please help quickly

Answers

Answer 1

Answer:

Answer:

it's 61+61

Step-by-step explanation:

i hope this helps

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Prove that if a,b and c are odd integers such that a + b +c = 0, then abc < 0. (you are permitted to use well-known properties of integers here.) be sure to show all work.
Jessie made 3/4 of a quat of hot chocolate.Each mug holds 3/8 of a quat.How many mugs will Jessie be able to fill?

How to write an equivalent expression for n times a using only addition

Answers

Maybe an answer would be 30=20+n What is the value of the variable?

The tread life on tires produced at one factory has a standard deviation of sigma equals 4 comma 000 miles. What is the standard deviation of the sampling distribution of the sample means given the sample size is 4

Answers

Answer:

$\sigma_x = 2000$

Step-by-step explanation:

Given

$\sigma = 4000$

$n = 4$

Required

The sample standard deviation

The sample standard deviation cannot be calculated directly. However, we can use the value of standard error because standard error approximates to sample standard deviation.

So, we have:

$\sigma_x = (\sigma)/(\sqrt n)$

$\sigma_x = (4000)/(\sqrt 4)$

$\sigma_x = (4000)/(2)$

$\sigma_x = 2000$

Hence, the sample standard deviation is 2000

(a) What is the probability that a person who was polled prefers chocolate ice cream to vanilla? Round your answer to four decimal places.

Answers

Answer:

$P(k)=0.2628$

Step-by-step explanation:

Given

$n = 1693$ --- sample size

$k = 445$ --- those that prefer chocolate ice cream to vanilla

Required

$P(k)$

This is calculated as:

$P(k)=(k)/(n)$ --- probability formula

So, we have:

$P(k)=(445)/(1693)$

$P(k)=0.2628$

On Monday, there were 827 people at the amusement park. On Tuesday, the weather was rainy and only 686 people were at the park. Write an expression to estimate the difference of the number of people atthe park on Monday and Tuesday by rounding each value to the nearest
hundred.

Answers

Answer:

let monday be a = 800 (nearest 100)

let tuesday be b = 700 (nearest 100)

a+b = 800 + 700 = 1500

a+b = 1500

HELP!! Find the value of x in the triangle!! 20PTS!!

Answers

Answer:

x = 5°

Step-by-step explanation:

We know that in a triangle, the measure of an exterior angle is equal to the sum of its two remote interior angles, therefore:

7x + 4 + 61 = 20x

7x + 65 = 20x

13x = 65

x = 5°

Answer:

Solution given:

61°+(7x+4)°=20x [ exterior angle is equal to the sum of two opposite interior angle]

65+7x=20x

65=20x-7x

13x=65°

x= $(65)/(13)$ =5°

value of x=5°

Find the greatest common factor of 108d^2 and 216d

Answers

Answer:

$\boxed{108d}$

Step-by-step explanation:

Part 1: Find GCF of variables

The equation gives d ² and d as variables. The GCF rules for variables are:

The variables must have the same base.
If one variable is raised to a power and the other is not, the GCF is the variable that does not have a power.
If one variable is raised to a power and the other is raised to a power of lesser value, the GCF is the variable with the lesser value power.

The GCF for the variables is d.

Part 2: Find GCF of bases (Method #1)

The equation gives 108 and 216 as coefficients. To check for a GCF, use prime factorization trees to find common factors in between the values.

Key: If a number is in bold, it is marked this way because it cannot be divided further AND is a prime number!

Prime Factorization of 108

108 ⇒ 54 & 2

54 ⇒ 27 & 2

27 ⇒ 9 & 3

9 ⇒ 3 & 3

Therefore, the prime factorization of 108 is 2 * 2 * 3 * 3 * 3, or simplified as 2² * 3³.

Prime Factorization of 216

216 ⇒ 108 & 2

108 ⇒ 54 & 2

54 ⇒ 27 & 2

27 ⇒ 9 & 3

9 ⇒ 3 & 3

Therefore, the prime factorization of 216 is 2 * 2 * 2 * 3 * 3 * 3, or simplified as 2³ * 3³.

After completing the prime factorization trees, check for the common factors in between the two values.

The prime factorization of 216 is 2³ * 3³ and the prime factorization of 108 is 2² * 3³. Follow the same rules for GCFs of variables listed above and declare that the common factor is the factor of 108.

Therefore, the greatest common factor (combining both the coefficient and the variable) is $\boxed{108d}$ .

Part 3: Find GCF of bases (Method #2)

This is the quicker method of the two. Simply divide the two coefficients and see if the result is 2. If so, the lesser number is immediately the coefficient.

$(216)/(108)=2$