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3 years ago

Which data set has the same standard deviation as the data set {1, 1, 3, 5, 8}?

Mathematics

2 answers:

liberstina [14]3 years ago

7 0

B. {2, 2, 4, 6, 9}
Because they both follow this sequence:
+0, +2, +2, +3

just olya [345]3 years ago

6 0

Answer:

b. {2, 2, 4, 6, 9}

Step-by-step explanation:

<em>The value of standard deviation does not get affected if we add constant number in every observation.</em>

In the given data set if we add 1 in every observation then we will get same value as given in option (b).

Thus, the standard deviation of both the observation is same.

Also, we didn't get other options by addition and subtraction of any constant value.

Further, Standard Deviation is used to measure spread of the data and it is defined as square of the distance between the observation and mean of the distribution.

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Help please!!!! ;-; staph scrolling

sertanlavr [38]

$y = 4^x \quad \to\quad y = - \frac 2 3 (4^{x+7}) - 5$

$y=4^x$

OK, we'll go in steps. First a reflection through the x axis, which negates y.

$y = -4^x$

Now a vertical scaling of 2/3

$y = -\frac 2 3 \cdot 4^x$

Now we shift seven units to the right,

$y = -\frac 2 3 \cdot 4^{x+7}$

Now down five,

$y = -\frac 2 3 \cdot 4^{x+7} - 5$

There it is.

Answer: reflection thru x axis, vertical scale 2/3, right shift 7, down 5, second choice

8 0

4 years ago

A motorboat leaves a harbor and travels at an average speed of 8 mph toward a small island. Two hours later a cabin cruiser leav

Nikitich [7]

Answer:

2 hours.

Step-by-step explanation:

From the question given above, the following data were obtained:

Speed of motorboat (sₘ) = 8 mph

Speed of cabin cruiser (s꜀) = 16 mph

From the question given, we were told that the cabin cruiser started his journey 2 hours later after the motorboat has left.

Let t be the time for the cabin cruiser.

Thus, the time for the motorboat will be (2 + t)

Also, if the cabin cruiser and the motorboat must be along side each other, then their distance must be the same.

With the above information, we can obtain the time taken for the cabin cruiser and the motorboat to be along side each other. This can be obtained as follow:

Speed of motorboat (sₘ) = 8 mph

Time for motorboat (tₘ) = t + 2

Speed of cabin cruiser (s꜀) = 16 mph

Time for cabin cruiser (t꜀) = t

Distance of motorboat = distance of cabin cruiser

Recall:

Distance = speed × time

Therefore,

sₘ × tₘ = s꜀ × t꜀

8 × (t + 2) = 16 × t

Clear bracket

8t + 16 = 16t

Collect like terms

16 = 16t – 8t

16 = 8t

Divide both side by 8

t = 16 / 8

t = 2 hours

Thus, it will take 2 hours for the cabin cruiser and the motorboat to be along side each other.

5 0

3 years ago

Math

Snezhnost [94]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Here's the solution ~

$\qquad \sf \dashrightarrow \: 7.2 + (2x + 0.4)$

$\qquad \sf \dashrightarrow \: 7.2 + 2x + 0.4$

$\qquad \sf \dashrightarrow \: 7.2 +0.4 + 2x$

$\qquad \sf \dashrightarrow \: (7.2 +0.4) + 2x$

Therefore, the correct choice is A

3 0

2 years ago

Read 2 more answers

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Brrunno [24]

2-first we change the scientific notations into fraction then do the calculation. at the end, you can change them to scientific notations
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hope this helps

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3 years ago

The berry-picking boxes at Bingo Berry Farm have square bottoms that are 8 centimeters on each side. Todd fills his box with ras

Ugo [173]

To find volume of a rectangular prism, do width * length * height

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7 0

3 years ago