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3 years ago

Describe the shape of the data distribution.

Mathematics

1 answer:

Karolina [17]3 years ago

4 0

Answer:

A.) negatively skewed

B.) Symmetric

C.) Positively skewed

Step-by-step explanation:

The shape of a distribution can be described in terms of the tail and peak of the distribution as Symmetric, left tailed or right tailed.

In the first graph; distribution is left tailed as we have a longer tail to the left Than to the right side of the distribution and the peak Hence, slightly shifting to the right.

The second graph on the other hand sees the peak being centered, at the centre of the distribution and the tails being even. Hence, we have a Symmetric or normal distribution.

The third is the opposite of the first with the tail being to the right and peak slightly shifting to the left to give a positive skew or right tailed distribution.

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the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base

wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

According to question

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 = 2 ×(l × b + b × h + h × l)

Or, (l × b + b × h + h × l) = $\dfrac{95}{2}$ ....1

Similarly

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = $\dfrac{63}{2}$ ......2

Putting value of eq 2 into eq 1

so, (l × b + $\dfrac{63}{2}$ ) = $\dfrac{95}{2}$

Or, l × b = $\dfrac{95}{2}$ - $\dfrac{63}{2}$

Or, l × b = $\dfrac{95 - 63}{2}$

i.e l × b = $\dfrac{32}{2}$

so, l × b = 16

Now, Again

∵The Area of the base = ( length × breadth ) cm²

So, z = l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

5 0

3 years ago

a plane can fly 7 miles per minute. the plane will fly 8 trips, and each trip is 810 miles. how many hours will the plane fly? s

Gnesinka [82]

Answer: 12 hours and 24 Minutes

Step-by-step explanation:

7*60 = 420

810/420 = 1.9285

93- 100 = 53-60

subtract 40 from 93.

1.53*8 = 12.24

Answer: 12 hours and 24 Minutes

3 0

4 years ago

Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive

navik [9.2K]

Answer:

The explicit formula

$a_n = 3 +0.25 (n-1)$

The recursive formula

$a_1 = 3$ for $n=1$

$a_n = a_ {(n-1)} +0.25$ if $n>1$

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

$3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25$

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

$a_n = a_1 + d (n-1)$

Where d is the constant difference between the terms.

$d = 0.25$

$a_1$ is the first term of the sequence.

$a_1 = 3$

$a_n = 3 +0.25 (n-1)$

Finally, the recursive formula is:

$a_1 = 3\\\\a_n = a_ {(n-1)} +0.25$

8 0

3 years ago

Please help ASAP!!!

QveST [7]

The answer is 3. 1/6 because there are 6 sides in the cube. So the probability of getting a certain number is 1/6.

7 0

3 years ago

10 is 5% of what number

GarryVolchara [31]

We can use proportion to get the result
10 ----------- 5%
x ------------- 100%
Crossmultiply proportion

5*x=10*100
5x=1000 /:5 divide both sides by 5
x=1000:5
x=200 - its the answer

6 0

4 years ago

Read 2 more answers