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1 year ago

What is the effect of removing the outlier 11 from the following data set? (1 point)

Mathematics

1 answer:

KiRa [710]1 year ago

6 0

Answer:

A The mean would increase.

Step-by-step explanation:

mean = sum of numbers ÷ how many numbers there are

the mean with the outlier 11:

(11 + 85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 9 = 81.4

the mean when removing the outlier 11:

(85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 8 = 90.25

the mean has now increased

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rewona [7]

Answer:

$9d = 36$

Step-by-step explanation:

See attachment for complete question

$Length = 36ft$

$n = 10$

From the question, we understand that one shrub must be at both ends.

Taking the first as a point of reference, we're left with:

$(n - 1) * distance = 36$

Substitute 10 for n and d for distance

$(10 - 1) * d = 36$

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$9d = 36$

Hence:

$9d = 36$ answers the question

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2 years ago

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Step-by-step explanation:

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2 years ago

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that $\triangle NOP$ is an right angled triangle.

$\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}$

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled $\triangle$ , we know that:

$tan \theta = \frac{Perpendicular}{Base}$

Here, $\theta$ is $\angle N$ , Perpendicular is side OP and Base is side PN.

So, $tan 59^\circ = \frac{OP}{PN}$

$\Rightarrow OP = PN \times tan59^\circ$

Putting the values of PN and $tan59^\circ$ .

$OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft$

Hence, the value of OP is $12.3\ feet$ .

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2 years ago