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Alchen [17]
3 years ago
8

Solve the equation to find a positive value of c: 32 + 42 = c2

Mathematics
2 answers:
Afina-wow [57]3 years ago
8 0

Answer:

8

Step-by-step explanation:

32 + 42 = c^2

64 = c^2

c = 8 or -8 since the positive value wanted the answer is 8

Yuri [45]3 years ago
7 0

Answer:

5

Step-by-step explanation:

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Exhibit: Department Store.
aalyn [17]

Answer:

Step-by-step explanation:

Considering the central limit theorem, the distribution is normal since the number of samples is large.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Confidence interval = mean ± z × σ/√n

Where

σ = population standard Deviation

σ/√n = sample standard deviation

Confidence interval = x ± z × σ/√n

1) x = $75

σ = $24

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

α = 1 - 0.96 = 0.04

α/2 = 0.04/2 = 0.02

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

1 - 0.02 = 0.98

The z score corresponding to the area on the z table is 2.05. Thus, confidence level of 96% is 2.05

Confidence interval = 75 ± 2.05 × 24/√64

= 75 ± 2.05 × 3

= 75 ± 6.15

The lower end of the confidence interval is

75 - 6.15 = 68.85

The upper end of the confidence interval is

75 + 6.15 = 81.15

2) n = 400

x = $75

σ = $24

z = 2.05

Confidence interval = 75 ± 2.05 × 24/√400

= 75 ± 2.05 × 1.2

= 75 ± 2.46

The lower bound of the confidence interval is

75 - 2.46 = 72.54

The upper bound of the confidence interval is

75 + 2.46 = 77.46

3) n = 400

x = $200

σ = $80

The z score corresponding to the confidence level of 94% is 1.88

z = 1.88

Confidence interval = 200 ± 1.88 × 80/√400

= 200 ± 1.88 × 4

= 200 ± 7.52

Margin of error = 7.52

7 0
3 years ago
What is the value of the x in the figure? Plz help ASAP
zalisa [80]

Answer:

2x+15=145........ vertically Opposite

2x=145-15

2x=130

x=130/2

65

x=65

4 0
2 years ago
Read 2 more answers
What's 3,897.003 in expanded form.
Art [367]
3,897.003 in expanded form is:

3,000 + 800 + 90 + 7 + 0.003
3 0
3 years ago
A survey of 2541 American households discovered<br> that 64% of the households own one car.
Ipatiy [6.2K]

Answer:

1626.24

Step-by-step explanation:

You need to take the sample(2541) and divide it by the percentage so you would do 2541 x .64 =1626.24

6 0
3 years ago
Alaska, Hawaii and Washington have active volcanoes. Alaska has 43, Hawaii has 5 and Washington has v. If they have 52 active vo
Mama L [17]

Answer:

five

Step-by-step explanation:

8 0
2 years ago
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