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3 years ago

BRAINLIEST!!!

Mathematics

1 answer:

Liula [17]3 years ago

8 0

Answer:

SA = 615.4 yd²

Step-by-step explanation:

The surface area (SA) of a sphere is calculated as

SA = 4πr² ← r is the radius

Here diameter = 14, thus r = 14 ÷ 2 = 7, then

SA = 4π × 7² = 4π × 49 = 196π = 196 × 3.14 ≈ 615.4 yd²

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MATHS

Snowcat [4.5K]

Answer:

1. 50000

i 274625000cm

ii 274.625m

Step-by-step explanation:

1. Area of a rectangle: length*width

250*200=50000cm

2. Volume of a cube: length^3

i 650^3=274625000cm

ii 650 cm=6.5m; 6.5^3=274.625m

8 0

3 years ago

Read 2 more answers

A magazine provided results from a poll of 500500 adults who were asked to identify their favorite pie. Among the 500500 respon

Komok [63]

Answer:

99% confidence interval is wider as compared to the 80% confidence interval.

Step-by-step explanation:

We are given that a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie.

Among the 500 respondents, 14% chose chocolate pie, and the margin of error was given as plus or minus ±3 percentage points.

The pivotal quantity for the confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who chose chocolate pie = 14%

n = sample of adults = 500

p = true proportion

Now, the 99% confidence interval for p = $\hat p \pm Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$

Here, $\alpha$ = 1% so $(\frac{\alpha}{2})$ = 0.5%. So, the critical value of z at 0.5% significance level is 2.5758.

Also, Margin of error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$ = 0.03 for 99% interval.

So, 99% confidence interval for p = $0.14 \pm2.5758 \times \sqrt{\frac{0.14(1-0.14)}{500} }$

= [0.14 - 0.03 , 0.14 + 0.03]

= [0.11 , 0.17]

Similarly, 80% confidence interval for p = $0.14 \pm 1.2816 \times \sqrt{\frac{0.14(1-0.14)}{500} }$

Here, $\alpha$ = 20% so $(\frac{\alpha}{2})$ = 10%. So, the critical value of z at 10% significance level is 1.2816.

Also, Margin of error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$ = 0.02 for 80% interval.

So, 80% confidence interval for p = [0.14 - 0.02 , 0.14 + 0.02]

= [0.12 , 0.16]

Now, as we can clearly see that 99% confidence interval is wider as compared to 80% confidence interval. This is because more the confidence level wider is the confidence interval and we are more confident about true population parameter.

5 0

3 years ago

At his birthday party Joey got $100 from each of his 2 grandmothers $40 from his dad and $5 from sister, how much did he get? Dr

horsena [70]

He got $245 for his birthday

6 0

3 years ago

Which pairs make the equation x-9y=12 true

Serggg [28]

Answer:

(12,0), (3, -1) (0,-4/3)

Step-by-step explanation:

To do this problem, you have to plug in the x and y values. For example, the first one would be 12-9(0)=12, and so on.

6 0

3 years ago

What does the a small MAD tell you about a set of data

Tamiku [17]

Answer:

Mean absolute deviation is the average of the absolute deviations from the mean. It is a measure of variability, which gives us an idea about the spread of data points from mean. Therefore, the small MAD means the data points are less deviated from mean. And the large MAD means the data points are more deviated from mean.

Hence, smaller the MAD lesser the variation in data.

3 0

3 years ago