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2 years ago

Find the 44th in the following arithmetic sequence 2,3,4,5

Mathematics

1 answer:

sp2606 [1]2 years ago

7 0

Answer:

Step-by-step explanation:

To find the common difference d, use the formula a1+4d=a5.

For us, a1 is 10 and a5 is 38.

10+4d=38

Now we can solve for d.

4d=28

d=7

Add the common difference to the first term to get the second term.

a2=a1+d=10+7=17

https://www.varsitytutors.com/algebra_1-help/how-to-find-the-nth-term-of-an-arithmetic-sequence

im not sure but i think this is right

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Need help with number 6

posledela

Answer:

(3)

Step-by-step explanation:

the sum of n and 5 is (n + 5), then multiply by 3 gives

3(n + 5)

The result is at least 17 which means it must be greater than or equal to 17

3(n + 5) ≥ 17

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3 years ago

How do I solve 5 + 6y = 9y + 2 + 3(1 - y)

Stella [2.4K]

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George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56

marshall27 [118]

Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

x = 2y

Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

x + y + z ≥ 56 - - - - - - - - - - 1

Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

4y - 4 ≥ 56

4y ≥ 56 + 4

y ≥ 60/4

y ≥ 15

z = y - 4 = 15 - 4

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2 years ago

Complete this section.

choli [55]

look at the attached picture

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Good luck on your assignment

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2 years ago

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0 A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.5 gram. In a random sampl

balandron [24]

Answer:

The first step is to determine the average

$x= \frac{0,6+0,7+ 0,7+0,3+0,4+ 0,5+ 0,4 +0,2}{8}\\\ x= 0,475$

The exercise says it’s a normal distribution: (n=8)

$s^{2}= \frac{1}{n-1} ((0,6.x)^2+2(0,7-x)^2+(0.3-x)^2+2(0.4-x)^2+(0.5-x)^2+(0.2-x)^2)\\\ \frac{1}{7}*0,235 = 0,0336 \\\\ s= 0183$

According to the exercise, the mean is equal to 0,5 then the value of t of the distribution can be obtained

$t= \frac{x-u}{\frac{s}{\sqrt{n} }}\\\ t= \frac{0,475 - 0,5}{0,183}\\\ t= -0,3860$

The variable t has 7 grade to liberty, we calculate the p-value as:

$2* P(t < - 0,3860)= \\\ 2* 0,3554 = 0,7108$

This value is very high, therefore the hypothesis is not rejected

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3 years ago