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Leokris [45]
3 years ago
9

Solve the equation. Select all that apply.

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Answer:

x = 11, x = -11

Step-by-step explanation:

I know this is kind of late but the two previous answers were wrong.

We have x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:

√x² = √121

x = √121

You might think that x = 11 but remember, x can be negative as well because you can square negative numbers. Basically, every real number has two square roots - a positive and a negative one. So, the answer isn't just x = 11, it's also x = -11 because (-11)² = 121 as well.

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How many times greater is the population of Illinois than the population of Alaska?
Jet001 [13]

Answer:

17 times

Step-by-step explanation:

IIIinois : 12670000

Alaska : 731545

12670000/731545=17.31

5 0
4 years ago
Read 2 more answers
In early spring, you buy 6 potted tomato plants for your container garden. The plants contained in 8 inch pots sell for $5 and t
prohojiy [21]
X - the number of plants in 8 in pots
y - the number of plants in 10 in pots

x+y=6\\
5x+8y=36\\\\
x=6-y\\
5x+8y=36\\
5(6-y)+8y=36\\
30-5y+8y=36\\
3y=6\\
y=2\\\\
x+2=6\\
x=4

4 plants in 8 in pots and 2 in 10 in pots.

3 0
3 years ago
Write a equation representing the area Bruce covered, y, in terms of the number of tiles he used,x.
diamong [38]
Answer: y = 4x

Step by step explanation:

If each tile is ¼ of a square foot then y (in terms of square feet) will be equal to x / 4 meaning that the equation would be y = 4x
5 0
3 years ago
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Which function has a greater y-intercept? f(x)=2x^2-6x+4
ludmilkaskok [199]

Answer:a. f has a greater y- intercept than g

Step-by-step explanation:

4 0
3 years ago
For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with l
murzikaleks [220]

Answer:

The answer is "0.68".

Step-by-step explanation:

Given value:

X_i \sim \frac{G_1}{2}

E(X_i)=2 \\

Var (X_i)= \frac{1- \frac{1}{2}}{(\frac{1}{2})^2}\\

             = \frac{ \frac{2-1}{2}}{\frac{1}{4}}\\\\= \frac{ \frac{1}{2}}{\frac{1}{4}}\\\\= \frac{1}{2} \times \frac{4}{1}\\\\= \frac{4}{2}\\\\=2

Now we calculate the \bar X \sim N(2, \sqrt{\frac{2}{n}})\\

\to \frac{\bar X - 2}{\sqrt{\frac{2}{n}}}  \sim  N(0, 1)\\

\to \sum^n_{i=1}  \frac{X_i - 2}{n}  \times\sqrt{\frac{n}{2}}}  \sim  N(0, 1)\\\\\to  \sum^n_{i=1}  \frac{X_i - 2}{\sqrt{2n}}  \sim  N(0, 1)\\

\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\

\to P(-1 \leq X_n \leq 2)  = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\

                               = 0.92 -0.24\\\\= 0.68

6 0
3 years ago
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