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4 years ago

The following table represents the running times of the men's 100 meters final at the London Olympics.

Mathematics

2 answers:

Rom4ik [11]4 years ago

8 0

This cannot be fit into a normal distribution. While the first 7 runners all have times relatively close, the time of the last runner is an outlier, as it is too far from the other data points. The standard deviation is calculated by taking the mean, subtracting each value from the mean, squaring the deviations, adding these, then dividing by the number of data points (7), and taking the square root. This gives an answer of SD = 0.1107.

olga_2 [115]4 years ago

7 0

Answer:

No it can not be fit into standard distribution.

The standard deviation is 155.96

Step-by-step explanation:

Standard Deviation:

1. Calculate Mean

2. Subtract the mean from each value in the data set

3. Square the differences

4. Take the average

5. Take the square root of the variance(average)

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If John read 8 pages in 10 minutes, how many pages can he read in 70<br> minutes?

loris [4]

Answer:

56 pages

Step-by-step explanation:

7 0

3 years ago

Im dumb so help me out here 50 points each Click on the image to enlarge

antiseptic1488 [7]

Answer:

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, that is

∠ 1 + ∠ 2 + ∠ 3 = 180°

Given ∠ 1 + ∠ 2 = 134°, then

134° + ∠ 3 = 180° ( subtract 134° from 180° )

∠ 3 = 46° → D

8 0

3 years ago

Can someone help me?

Lana71 [14]

Answer:

I'm not sure from my answer but I'm going to try

A = { a^2 - 4 = 0 }

A = { a^2 = 0+ 4 }

A = { a^2 = 4}

Take root of both sides

A = {a = 2}

A = {2}

B = { -2, -1, 0, 1, 2}

C = { 1, 2, 3, 4, 5, 6,7}

i) A\B

= {2} \ {-2,-1,0,1,2}

= ⌀ ( "null set" )

ii) (A\B) \C

= ( {2} \ {-2,-1,0,1,2} ) \ C

= ⌀ \ C

= ⌀ \ { 1, 2, 3, 4, 5, 6,7}

= ⌀ ( "null set" )

iii) (A ∪ B) \ C

= ( { 2 } ∪ { -2, -1, 0, 1, 2} ) \ C

= { -2, -1, 0, 1, 2} \C

= { -2, -1, 0, 1, 2} \ { 1, 2, 3, 4, 5, 6,7}

= { -2, -1, 0 }

iv) ( A\B) ∩ ( A\C)

= ( { 2 } \ {-2,-1,0,1,2} ) ∩ ( { 2 } \ { { 1, 2, 3, 4, 5, 6,7} )

= ⌀ ∩ ⌀

= ⌀

v) ( A ∩ B ) \ C

= ( { 2 } ∩ { -2, -1, 0, 1, 2 } ) \ C

= { 2 } \ { 1, 2, 3, 4, 5, 6, 7 }

= ⌀ "null set"

7 0

3 years ago

The girl to boy ratio is 3 to 7 if there are 50 students total how many boys

Naddik [55]

Answer:

15 girls, 35 boys

Step-by-step explanation:

Step 1:

3 : 7 Ratio

Step 2:

3x + 7x = 50 Substitute

Step 3:

10x = 50 Add

Step 4:

50 ÷ 10 Divide

Step 5:

x = 5

Answer:

15 girls, and 35 boys Multiply

Hope This Helps :)

5 0

3 years ago

"A new bakery offers decorated sheet cakes for children’s birthday parties and other special occasions. The bakery wants the vol

Darya [45]

Answer:

$w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}$

Step-by-step explanation:

We are given the following in the question:

Volume of cake = 351 cubic inches

Let x inches be the width of cake.

Width of cake, w =

$x\text{ inches}$

Then, length of cake,l =

$(x + 4)\text{ inches}$

Height of cake,h =

$\dfrac{x}{3}\text{ inches}$

Volume of cake = Volume of cuboid

$V = lwh$

Putting values, we get:

$351 = x(x+4)(\dfrac{x}{3})\\\\1053 = x^3 + 4x\\x^3+4x^2-1053= 0\\\\\text{For x = 9}\\(9)^3+4(9)^2-1053= 0$

Thus, dimensions of cake are:

$w = 9 \text{ inches}\\l = 13\text{ inches}\\h = 3\text{ inches}$

3 0

3 years ago