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3 years ago

find the variance and standard deviation of the given set of data to the nearest tenth. 440,130,280,500,150,640,760

Mathematics

1 answer:

Westkost [7]3 years ago

8 0

Answer:

The variance is 49595.9

The standard deviation is 222.7

Step-by-step explanation:

The step -by -step explanation is shown in the picture above.

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eive 19. The school cafeteria uses 48 cans of peaches per day. How many cans of peaches will they use in 19 days? help

Simora [160]

Answer:

912

Step-by-step explanation:

All that needs to be done is multiply both numbers they give you.

48 x 19= 912

3 0

2 years ago

In the following figure, the square ABCD is inscribed in the circle centered at point P. What is the area of the circle?

Ainat [17]

Answer:

$A_{Circle} \approx 39.24\: units^2$

Step-by-step explanation:

Square ABCD is inscribed in a circle with center P such that BC = 5 units.

BD will be diagonal of the square as well as diameter of the circle.

$BD = BC\times\sqrt 2$

$\implies BD = 5\sqrt 2$

-> Diameter of the circle $(d) = 5\sqrt 2$

-> Radius of the circle $(r) = 2.5\sqrt 2=3.535\: units$

$A_{Circle} =\pi(r)^2$

$\implies A_{Circle} =3.14(3.535)^2$

$\implies A_{Circle} =39.2381465$

$\implies A_{Circle} \approx 39.24\: units^2$

8 0

2 years ago

Suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of 9.6. A sample is drawn from

valkas [14]

Answer: A. 1.2

Step-by-step explanation:

Given : Sample size : n= 64

Standard deviation: $\sigma=9.6$

The formula to find the standard error of mean is given by :-

$S.E.=\dfrac{\sigma}{\sqrt{n}}\\\\\Rightarrow\ S.E.=\dfrac{9.6}{\sqrt{64}}\\\\\Rightarrow\ S.E.=\dfrac{9.6}{8}=1.2$

Therefore, the standard error of the mean= 1.2

Hence, A is the right option.

7 0

3 years ago

A recipe that serves 8 people requires 1 and one fourth cups of sugar. Using this recipe, how many cups of sugar are needed to

docker41 [41]

Answer:

3 1/8 or 3.125.

Step-by-step explanation:

First you would change 1 1/4 to 5/4. Then you would make a proportion of 5/4 or I like to use decimals, 1.25, over 8. Your proportion would look like: 1.25/8 = x/20. Then cross multiply 1.25 and 20 then divide your product by 8. Your final answer is 3.125 or 3 1/8. Hope this helps!

4 0

3 years ago

During the final 5 seconds of a race a cyclist increased her velocity from 4 m/s to 7 m/s . What was her average acceleration du

GREYUIT [131]

Answer:

The average acceleration of the cyclist was 0.6 m/s².

Step-by-step explanation:

Acceleration:

The rate change of velocity per unit time is call the acceleration of the object.

$a=\frac{v-u}t$

u= initial velocity

v= final velocity

t= time taken change of velocity.

During the final 5 seconds of a race cyclist increased her velocity from 4m/s to 7 m/s

Here v= 7 m/s and u=4 m/s t=5 seconds

$\therefore a=\frac{7\ m/s-4 \ m/s}{5s}$

$=\frac{3}{5} \ m/s^2$

=0.6 m/s²

The average acceleration of the cyclist was 0.6 m/s².

8 0

3 years ago