All categories

3 years ago

Find the sum of the first 13 terms in the series -5+1+7...+67

Mathematics

1 answer:

valentinak56 [21]3 years ago

5 0

This is an arithmetic series with common difference 6

S13 = (13/2)[2*-5 + (13-1)*6)] = 403

You might be interested in

In recent years major league baseball games have averaged three hours in duration. However, because games in Denver tend to be h

lara31 [8.8K]

Answer:

We conclude that the games in Denver would be longer than major league baseball games.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 180 minutes

Sample mean, $\bar{x}$ = 185.54 minutes

Sample size, n = 81

Alpha, α = 0.05

Sample standard deviation, s = 24.6 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 180\text{ minutes}\\H_A: \mu > 18\text{ minutes}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{185.54 - 180}{\frac{24.6}{\sqrt{81}} } = 2.026$

Now,

$t_{critical} \text{ at 0.05 level of significance, 80 degree of freedom } = 1.664$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis.

We conclude that the games in Denver would be longer than major league baseball games.

8 0

3 years ago

Find the mean for the following group of data items. 175, 115, 145, 115, 135

leva [86]

Answer:

137

Step-by-step explanation:

175+115+145+115+135= 685

685÷5= 137

To put that into words you add up all the numbers and divide the sum by how many numbers there are.

4 0

3 years ago

PLEASE ANSWER FAST...WILL MARK BRAINLIEST IF ANSWERED NOW. 20POINTS

Otrada [13]

they all multiple by 4 like y 2/4+ 4y- 21

5 0

3 years ago

Read 2 more answers

15/10 as a mixed number

Sauron [17]

15/10

= 10/10 + 5/10

= 1 + 1/2

5 0

3 years ago

2x+y=3<br> x=3+y<br> This is an equation of substitution and I need help

Aliun [14]

2(3+y)+y=3
6+3y=3
Y=-1
Substitute to solve for x
X=3-1
X=2

7 0

3 years ago

Read 2 more answers