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NemiM [27]
2 years ago
11

In a class of 30 student .(x+10) study Algebra.(10x-3) study statistics ,4 students study both Algebra and statistics,2x study o

nly Algebra and 3 study neither Algebra nor Statistics .Each student study at least one of the two subject.
i) illustrate the information on a Venn diagram
ii) how many students study,
a) Algebra
b) only Statistics​
Mathematics
1 answer:
kherson [118]2 years ago
3 0

Answer:

Step-by-step explanation:

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1. What is the approximate volume of the cone? Use 3.14 for π.
iren2701 [21]
The volume of a cone is V = (1/3)*pi*h*r^2
V = (1/3)*3.14*8*12^2 = 1206 cu.cm
4 0
3 years ago
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 8 times a half?
xz_007 [3.2K]

Answer:

4

Step-by-step explanation:

my theory would be 4

4 0
3 years ago
Read 2 more answers
Evaluate show the solution of 14C6 and 15C4​
ICE Princess25 [194]

Answer:

Evaluate each expression for a = 4, b = 2, and c = 5.

c − a

8 0
3 years ago
I need you To reply To This question I need numbers 14-17
slava [35]
The area of a circle is:
\pi \times r \times r
"r" being the radius and π being 3.14
14. The diameter is 12. So, to get the radius, we would need to halve it. So, the radius would be 6.
Now we plug in 6 for r and 3.14 for π which makes it
3.14 \times 6 \times 6
which equals 113.04
15. The diameter is 9, so to get the radius we need to halve it to get 4.5
Plug in 4.5 for r and 3.14 for π and we get
3.14 \times 4.5 \times 4.5
which equals 63.585
16. The diameter is 18, so to get the radius we need to halve it to get 9
Plug in 9 for r and 3.14 for π and we get
3.14 \times 9 \times 9
which equals 254.34
17. The diameter is 8, so to get the radius we need to halve it to get 4.
Plug in 4 for r and 3.14 for π and we get

3 0
3 years ago
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