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kotykmax [81]
3 years ago
11

HELP FAST!!! Solve using substitution. y = 8 5x – 3y = -9

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
X=3 im pretty sure i dont rly have a explanation
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A study of 420,076 cell phone users found that 131 of them developed cancer of the brain or nervous system. Prior to this study
Keith_Richards [23]

Answer:

a) 95% Confidence interval = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (131/420076) = 0.0003118483 = 0.0312%

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 420,076 is obtained from the z-tables because the sample size is large enough for the properties of the sample to approximate the population properties.

Critical value = 1.960 (from the z-tables)

Standard error = σₓ = √[p(1-p)/n]

n = sample size = 420,076

σₓ = √(0.0003118×0.999688/420076) = 0.0000272421 = 0.0000272

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.000312 ± (1.96 × 0.0000272)

CI = 0.000312 ± 0.0000534

95% CI = (0.0002586055, 0.0003653945)

95% Confidence interval = (0.000259, 0.000365)

95% Confidence interval = (0.0259%, 0.0365%) = (0.026%, 0.037%) to 3 d.p

b) The result of the 95% confidence interval does not agree with the previous rate of such cancer because the value 0.0224% does not lie within this confidence interval obtained.

Hope this Helps!!!

7 0
3 years ago
Find the area of rectangle qrst if the area of rectangle defg is 108 cm2 and the scale factor is 3/4.
Levart [38]
Considering the scale as qrst being 3/4 of defg

108x3 = 324

324/4 = 81

Area is 81 cm^2
3 0
3 years ago
Walid is four times as old as Sami . Five years ago,
trapecia [35]

Answer:

he is11 years old cause when he was 1 walked was 5

4 0
3 years ago
Solve this system of equations.<br> 2x + 2y + 7z = -1<br> 2x + y + 2z = 2<br> 4x + 6y +z = 15
saw5 [17]

Answer:

x =1

y = 2

z = -1

Step-by-step explanation:

I Hope it helps. Please if you need any clarification, let me know .

3 0
4 years ago
What is the volume of the sphere?
nataly862011 [7]

The volume of the sphere in the given image, to the nearest tenth, is: 2,143.6 cm³.

<h3>How to calculate the Volume of a Sphere?</h3>

A sphere is a solid shape that is round. The volume of a sphere is the amount of space it contains, which is calculated by the formula expressed as:

Volume = 4/3 × π × r³, where r is the radius of the sphere.

The parameter of the sphere is given below:

Radius of the sphere (r) = 8 cm.

π = 3.14

Substitute r = 8 into 4/3 × π × r³ to find the volume of the sphere

Volume of the sphere = 4/3 × π × r³ = 4/3 × 3.14 × 8³

Volume of the sphere = 4/3 × 3.14 × 512

Volume of the sphere = (4 × 3.14 × 512)/3

Volume of the sphere = (6,430.72)/3

Volume of the sphere = 2,143.6 cm³

In summary, the volume of the sphere in the given image, to the nearest tenth, is: 2,143.6 cm³.

Learn more about the volume of sphere on:

brainly.com/question/22807400

#SPJ1

5 0
2 years ago
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