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balu736 [363]
3 years ago
14

Given 4,7,10,13. Calculate the 20th term.​

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Answer:

61

Step-by-step explanation:

to calculate the 20th term you use the formula

Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:

Tn=4+(20-1)3

=4+19×3

=4+57

=61

the 20th term is 61

I hope this helps

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Employees from Company A and Company B both receive annual bonuses. What information would you need to test the claim that the d
Natalija [7]

Answer:

Step-by-step explanation:

This is a test of the mean difference between 2 independent groups or populations.

Let μ1 be the mean annual bonus of Company A's employees and μ2 be the mean annual bonus of Company B's employees.

The random variable is μ1 - μ2 = difference in the mean annual bonus of Company A's employees and the mean annual bonus of Company B's employees

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 ≤ μ2 H0 : μ1 - μ2 ≤ 100

The alternative hypothesis is

H1 : μ1 > μ2 H1 : μ1 - μ2 > 100

This is a right tailed test because of the inequality sign at the alternative hypothesis. We need to take samples of annual bonuses from both company's employees and find the averages. Then we would determine the test statistic as well as the p value. We would use the p value with the level of significance to make decisions

5 0
3 years ago
Assume that adults have iq scores that are normally distributed with a mean of 100100 and a standard deviation of 15. find the t
anastassius [24]
The bell curve attached below shows the normal distribution of the data.

We are looking the value of X such as the area to its left gives the probability of 0.75

We first need the z-score which we can obtain by reading from the z-table (as shown in the second picture below)

The z-score is = 0.7734

Then we use the following formula to work out X
z-score = (X - Mean) ÷ Standard Deviation
0.7734 = (X - 100) ÷ 15
0.7734×15 = X - 100
11.601 = X - 100
X = 11.601 + 100
X = 111.601 ≈ 112 

Hence the third quartile is 112

4 0
3 years ago
3200 dollars is placed in an account with an annual interest rate of 6.5%. To the nearest year, how long will it take for the ac
madam [21]

4 yrs

Step-by-step explanation:

Formulae for simple interest is;

A= P (1 + rt)                Whereby;

   A = Total Accrued Amount (principal + interest)

   P = Principal Amount

   I = Interest Amount

   r = Rate of Interest per year in decimal; r = R/100

   R = Rate of Interest per year as a percent; R = r * 100

   t = Time Period involved in months or years

15300 = 3200 (1 + 106.5/100 *t)

15300/3200 = 1 + 1.065t

4.78125 – 1 = 1.065t

3.78125 = 1.065t

3.78125/1.065 = t

3.55 = t

Rounded off to the nearest whole number;

= 4

5 0
3 years ago
A train leaves Ayr station every day at 09:50 and arrives in Glasgow at 10:39. How long is the journey?
Pepsi [2]

Answer:

49 minutes

Step-by-step explanation:

9:50 to 10:00 is 10 minutes

plus the 39 minutes in 10:39

10 + 39 = 49

hope i helped

4 0
3 years ago
Read 2 more answers
Pls, can someone help me with this problem?
ExtremeBDS [4]

Answer:

0.\overline{33}

Step-by-step explanation:

If you divide number 1 by number 3, you will notice that number 3 will constantly repeat at the decimal part.

So, the answer is 0.\overline{33}.

5 0
2 years ago
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