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3 years ago

What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20

1 answer:

7 0

Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

mean = (17+13+13+22+11+20)/6 = 16.

Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16

Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

So the variance by coincidence is the same as the mean.

Answer C is your answer.

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Pls say hard very hard

Simora [160]

(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.

(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?

On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:

50 ≤ score ≤ 60 ==> 50-60

60 < score ≤ 70 ==> 60-70

70 < score ≤ 80 ==> 70-80

80 < score ≤ 90 ==> 80-90

90 < score ≤ 100 ==> 90-100

Then a student who scored a 60 should be added to the 50-60 category.

8 0

2 years ago

Someone help :(( thank youuuu so much if u do

VMariaS [17]

Answer:

-10

Step-by-step explanation:

The equation would be -8 - (-10) = 2. When subtracting a negative, you are actually just adding a positive. It's like the two negative signs cancel each other out, so it would look more like -8 + 10 = 2. For the answer box, just put -10.

5 0

2 years ago

The local hamburger restaurant is famous for how quickly they can assemble a burger. The restaurant advertises that its constant

melisa1 [442]

The gievn equation is ,

$t=11.3h\ldots(1)$

where t is the time in seconds and h is the no.of hamburgers assembled.

put h = 2 in equation (1).

$\begin{gathered} t=11.3\text{ (2)} \\ t=22.6 \end{gathered}$

blank A assembles 2 hamburges in 22.6 seconds.

put h = 3 in equation (1)

$\begin{gathered} t=11.3(3) \\ t=33.9 \end{gathered}$

blank B assembles 3 hamburgers in 33.9 seconds.

put h = 5 in equation (1)

$\begin{gathered} t=11.3(5) \\ t=56.5 \end{gathered}$

blank C assembles 5 hamburgers in 56.5 seconds.

put h = 8 in equation (1)

$\begin{gathered} t=11.3(8) \\ t=90.4 \end{gathered}$

blank D assembles 8 hamburgers in 90.4 seconds.

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10 months ago

The shorter leg of a right triangle is two less than the hypotenuse. The longer leg is one less than the hypotenuse. Find all th

Marina86 [1]

Answer:

x = 5

Step-by-step explanation:

using the Pythagorean theorem:

(x-1)² + (x-2)² = x²

x²-2x+1 + x²-4x+4 = x²

reduce:

2x²-6x+5 = x²

subtract x² from each side:

x²-6x+5 = 0

(x-1)(x-5) = 0

x=1 but because shorter leg would be 0, a triangle would be impossible.

x=5

5 0

2 years ago

The product the lies between__and__. 3×3/4?

cupoosta [38]

Saying 3/4 * 3 is the same thing as saying 3/4 of 3. Imagine you have 3 pies, each cut into 4 slices. That would be 3 * 4 = 12 slices of pie, right?
So when there's 12 slices, that would be 4/4 of the pies, since all the pieces are there.
To find out how many pies we would have with 3/4 of the pie left, we just need to multiply the original equation.

3 * 3/4 = 2 1/4

The product of those two numbers lies between 2 and 3.
Hope that helped =)

7 0

3 years ago