12 tickets for $4.68 or 10 tickets for $4.50

A human body that is performing light work generates about 650 BTUs of body heat per hour. If a storage room that is 20 ft × 25

Damm [24]

in case your wodering its 2.1 BTUs/ft^3

6 0

3 years ago

Find the missing terms in each arithmetic sequence <br> 1,__,__,-17<br> 2,__,__,20

Galina-37 [17]

Answer:

-5,-11

8,14

Step-by-step explanation:

Let 's say r the commun difference

1)

1,1+r,1+2r,1+3r=-17

1+3r=-17

3r=-18

r=-6

Sequence is 1,-5,-11,-17

2)

2,2+r,2+2r,2+3r=20

2+3r=20

3r=18

r=6

Sequence is 2,8,14,20

4 0

3 years ago

Kayla won 37 super bouncy balls

Mariana [72]

Answer:

15 friends

Step-by-step explanation:

37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.

7 0

3 years ago

During the 2000 season, the home team won 138 out of 240 regular season National Football League games. (15 points) a) Construct

jeka94

Answer:

Step-by-step explanation:

A) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 240

x = 138

p = 138/240 = 0.58

q = 1 - 0.58 = 0.42

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Therefore, the 95% confidence interval is

0.58 ± 1.96√(0.58)(0.42)/240

Confidence interval is

0.58 ± 0.062

B) winning more than halve of the games would be winning 120 games and above.

p = 120/240 = 0.5

We would set up the hypothesis test.

For the null hypothesis,

P ≥ 0.5

For the alternative hypothesis,

P < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 138

n = number of samples = 240

P = 138/240 = 0.58

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.58 - 0.5)/√(0.5 × 0.5)/240 = 2.48

Recall that this is a left tailed test. We would determine the probability value of the area to the right of the z score from the normal distribution table.

P value = 1 - 0.9934 = 0.0066

Since alpha, 0.01 > the p value, 0.0066, then we would reject the null hypothesis.

Therefore, At the 0.01 significance level, there is no strong evidence of a home field advantage (they win more than half of the games) in professional football.

3 0

3 years ago

What is the area of the trapezoid?

ExtremeBDS [4]

<h2>Answer:</h2>

42 square units

<h2>Step-by-step explanation:</h2>

For a better understanding, I add an EFGH Rectangle.

The area of EFGH Rectangle = p x l

The area of EFGH Rectangle = 10 x 8

The area of EFGH Rectangle = 80cm²

The area of BHA Triangle = 1/2 x a x t

The area of BHA Triangle = 1/2 x 6 x 4

The area of BHA Triangle = 2 x 6

The area of BHA Triangle = 12cm²

The area of AGD Triangle = 1/2 x a x t

The area of AGD Triangle = 1/2 x 4 x 2

The area of AGD Triangle = 4cm²

The area of CFD Triangle = 1/2 x a x t

The area of CFD Triangle = 1/2 x 2 x 6

The area of CFD Triangle = 6cm²

The area of BEC Triangle = 1/2 x a x t

The area of BEC Triangle = 1/2 x 8 x 4

The area of BEC Triangle = 4 x 4

The area of BEC Triangle = 16cm²

The area of the trapezoid = EFGH Rectangle - (BHA Triangle + AGD Triangle + CFD Triangle + BEC Triangle)

The area of the trapezoid = 80 - (12 + 4 + 6 + 16)

The area of the trapezoid = 80 - 38

The area of the trapezoid = 42cm²

<h3>Conclusion :</h3>

The area of the trapezoid is <u>42 square units</u>

7 0

2 years ago