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3 years ago

10

Which measure best represents the data? 45.6 or 56? Explain your reasoning.

1 answer:

FrozenT [24]3 years ago

6 0

45.6 would because it is the closer number to the mean (or average) of all the numbers.

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The table and graph both represent

valina [46]

I'm not sure what your table and graph look like but they might both represent the relationship between numbers, like the common difference (+5 ect) They could also both represent positive growth or negative growth depending on how the graph and table look.

Hope this helps!

8 0

2 years ago

Which functions are correctly graphed? <br><br> Select all the correct answers

garri49 [273]

the second one, and the third one

4 0

2 years ago

A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

5 0

2 years ago

HELP!<br> Find the Area of the triangle

Zigmanuir [339]

Answer:

A ≈ 65.8 m²

Step-by-step explanation:

Given 2 sides and the angle between them then the area (A) is

A = $\frac{1}{2}$ bc sinA

= 0.5 × 19.9 × 10.7 × sin38.17°

≈ 65.8 m² ( to 1 dec. place )

6 0

2 years ago

2: A bag contains 5 black counters, 4 blue counters, and

drek231 [11]

Answer:

The probability that the counter was blue is $\mathbf{\frac{2}{5}}$

Step-by-step explanation:

Number of black Counters = 5

Number of blue Counters = 4

Number of white Counters = 1

We need to write down the probability that the counter was blue.

First find Total Counters

Total Counters = Number of black Counters + Number of blue Counters + Number of white Counters

Total Counters = 5+4+1

Total Counters = 10

Now, we need to find probability that the counter taken was blue

The formula used is:

$Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}$

There are 4 blue counters in the back, so Favourable outcomes = 4

$Probability= \frac{Number\:of\:favourable\:outcomes}{Total\:outcomes}\\Probability= \frac{4}{10}\\Probability= \frac{2}{5}$

The probability that the counter was blue is $\mathbf{\frac{2}{5}}$

5 0

2 years ago