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2 years ago

(PLEASE ANSWER QUICK) Which data set could be represented by the box plot shown below?

Mathematics

1 answer:

Naily [24]2 years ago

8 0

Answer:

Your answer is B

Step-by-step explanation:

The lowest number is 4, therefore it cannot be C.

Now you'll have to cross out numbers on both sides and your mean will be 9 because you'll have to add 8 and 10 together and 18 divided by 2 is 9.

Next, put a line between 8 and 10, now the 8 side is the lower quartile and the 10 side is the greater quartile.

For the lower quartile, add 7 and 7 together, divide 14 by 2 and the lower quartile is 7.

For the greater quartile, add 11 and 13 together, that's 24, divide 24 by 2 and that's 12.

Lowest: 4

Mean: 9

Lower quartile: 7

Greater quartile: 12

Highest: 14

Therefore your answer is B and not A or C.

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For each sentence below, find the value of x that makes each sentence true.

vitfil [10]

ANSWER

1. $x=\frac{1}{2}$

2. $x=1$

QUESTION 1

The first sentence is $(5^{\frac{1}{5}})^5=25^x$ .

Recall that;

$(a^m)^n=a^{mn}$

We simplify the left hand side by applying this property to get;

$5^{\frac{1}{5}\times 5}=25^x$ .

$\Rightarrow 5^{1}=25^x$ .

We now rewrite the right hand side too in an index form to obtain;

$\Rightarrow 5^{1}=5^{2x}$

We now equate the exponents to get;

$\Rightarrow 1=2x$ .

$\Rightarrow \frac{1}{2}=x$

$\Rightarrow x=\frac{1}{2}$ .

QUESTION 2

The second sentence is $(8^{\frac{1}{3}})^2=4^x$

We simplify the left hand side first to get;

$(2^{3\times \frac{1}{3}})^2=4^x$

$2^2=4^x$

We now rewrite the left hand side too in index form to obtain;

$2^2=2^{2x}$

We equate the exponents to get;

$2=2x$

This implies that;

$1=x$

$x=1$

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