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3 years ago

The dot plot represents a sampling of ACT scores:

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

5 0

Answer:

The first box plot is correct

Step-by-step explanation:

Andru [333]3 years ago

3 0

Answer:

A. With numbers 18, 21, 22, 23 and 25

Step-by-step explanation:

Lets analyze the dot plot and work out 5 numbers.

We see the minimum score is 18 and maximum score is 25, these are the two numbers.

The scores

18 , 19, 19, 19, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25

Median of the data:

(22 + 22)/2 = 22

Lower half

18 , 19, 19, 19, 21, 21, 21, 21, 22

Median of lower half = 21

Upper half

22, 22, 22, 23, 23, 23, 24, 24, 25

Median of upper half = 23

We now have 5 number summary:

18, 21, 22, 23 and 25

Looking at the box plots, we see the first one is reflecting the numbers we got.

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3 years ago

How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

3 0

3 years ago

2. Given that a = 7, b = 5 and c = 5. Find the square root of 3a + 2b + c

ollegr [7]

Step-by-step explanation:

$3a + 2b + c = 3(7) + 2(5) + 5 \\ = 21 + 10 + 5 \\ = 36 \\ \sqrt{3a + 2b + c} = \sqrt{36} \\ = 6$

5 0

3 years ago