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4 years ago

6. Which shape has a larger area: a rectangle that is 7 inches by inch, or a square with

Mathematics

1 answer:

RoseWind [281]4 years ago

5 0

Answer:

Rectangle = L x b = 7 x 7 = 49 inch^2

square = a^2 = 2^2=4 inch^2

Therefore the area of rectangle is more because it's area is greater than square

rectangle 's area > square's area.

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Consider the following sample set of scores. Assume these scores are from a discrete distribution. 21 29 32 38 38 45 50 64 72 10

ASHA 777 [7]

Answer:

Original data: 21 29 32 38 38 45 50 64 72 100

$\bar X = \frac{21+29+32+38+38+45+50+64+72+100}{10}=48.9$

Mode =38.

$Median = \frac{38+45}{2}=41.5$

Change 1: 2 29 32 38 38 45 50 64 72 100

$\bar X = \frac{2+29+32+38+38+45+50+64+72+100}{10}=47$

Mode =38.

$Median = \frac{38+45}{2}=41.5$

Change 2: 29 32 38 38 45 50 64 72 100

$\bar X = \frac{29+32+38+38+45+50+64+72+100}{9}=52$

Mode =38.

$Median = 45$

Step-by-step explanation:

Original data: 21 29 32 38 38 45 50 64 72 100

The mean is calculated with the following formula:

$\bar X = \frac{\sum_{i=1}^{10} X_i}{10}$

And if we replace we got:

$\bar X = \frac{21+29+32+38+38+45+50+64+72+100}{10}=48.9$

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

$Median = \frac{38+45}{2}=41.5$

Change 1: 2 29 32 38 38 45 50 64 72 100

The mean is calculated with the following formula:

$\bar X = \frac{\sum_{i=1}^{10} X_i}{10}$

And if we replace we got:

$\bar X = \frac{2+29+32+38+38+45+50+64+72+100}{10}=47$

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.

$Median = \frac{38+45}{2}=41.5$

Change 2: 29 32 38 38 45 50 64 72 100

Now the sample size is 9 instead of 10

The mean is calculated with the following formula:

$\bar X = \frac{\sum_{i=1}^{9} X_i}{9}$

And if we replace we got:

$\bar X = \frac{29+32+38+38+45+50+64+72+100}{9}=52$

The mode is the most repeated value in the sample and on this case is Mode =38.

Since we have odd number of points the median is calculated from the 5 position of the dataset ordered.

$Median = 45$

7 0

4 years ago

What is the product of (6x^2 + 8)(3x^2 – 5x + 7)?

noname [10]

Answer:

x = 14 /3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A random sample of 150 recent donations at a certain blood bank reveals that 82 were type A blood. Does this suggest that the ac

kati45 [8]

Answer:

We reject H₀ Porcentage of type A blood donations differs from 40% (porcentage of population having type A blood)

Step-by-step explanation:

We are going to develop a proportion test.

Information we have:

Proportion P₀ = 40 % P₀ = 0,4 (porcentage of population having type A blood)

Sample size n = 150

Sample mean P = 82/ 150 P = 0,5466

As P₀ = 0,4 Q₀ = 0,6 P₀*Q₀ = 0,24

1.-Test Hypothesis:

H₀ null hypothesis P₀ = 0.4

Hₐ alternative hypothesis P₀ ≠ 0.4

2.- signficance level

a ) α = 0.01 we have a two tail-test α/2 = 0.005

b ) α = 0.05 α/2 = 0.025

Then from t-student table we get t(c) n = 150 df = 149

a ) α/2 = 0.005 t(c) = 2.581

b ) α/2 = 0.025 t(c) = 1.962

3.-Compute t(s)

t(s) = ( P - P₀ ) / √P₀Q₀/n

Plugging in known values

t(s) =[ ( 0.5466 - 0,4 )*√150 ] / √0.24

t(s) = 0,1466 * 12.25 / 0.4899

t(s) = 3.6657

Compare t(s) and t(c)

t(s) > t(c) 3.6657 > 2.581

Then t(s) is out of the acceptance region we reject H₀.

Simple inspection led us see that for

α/2 = 0.025 t(c) = 1.962

The situation is the same

6 0

3 years ago

IM LAZY SO SOMEONE PLZ TELL ME 308 DIVIDED BY 2

Vanyuwa [196]

Answer:

154

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Barbara can walk 3,200 meters in 24 meters. Mavis can walk 11,808 feet in 24 minutes. Who walks faster rate of speed? Explain th

grin007 [14]

I used a converter so i put 3200 meters into feet which was 10,498.69 and i rounded it to 10,498 and then i subtract 10,498 feet from 11,808 feet and got 1,310 feet as the answer

4 0

4 years ago

Read 2 more answers