All categories

3 years ago

Simplify this expression

Mathematics

1 answer:

Juliette [100K]3 years ago

3 0

x^2+2x+1
= x^2 + 1x + 1x + 1
= (x^2+1x) + (1x+1)
= (x+1)(x+1)

You might be interested in

Suppose an NBA basketball player shooting an uncontested 2-point shot will make the basket with probability 0.6. How- ever, if y

Snezhnost [94]

Answer:

0.06

Step-by-step explanation:

The computation of the value of p is shown below;

P in the case (2 points if not fouled) = 0.6

Now Expected points if not fouled is

= 0.6 × 2

= 1.2

Now Expected points from free throw is

0 × (1-p)^2 + 1 × 2p(1-p) + 2 × p^2 = 2p

As we can see that 2p would be lower tha 1.2 in order to make a foul on shooter that represent all values of p<0.06 would be considered to foul in the shooter

8 0

3 years ago

If right good review

yaroslaw [1]

The line has a slope of 4

8 0

3 years ago

Read 2 more answers

6у — 10+ 6у + 10=180

Vlad1618 [11]

Answer: y = 15

Step-by-step explanation:

6y - 10 + 6y + 10 = 180

+ 10 - 10 -10 +10

12y = 180

12y/12 = 180/12

y = 15

8 0

3 years ago

Read 2 more answers

What is the equation? Picture attatched

Cerrena [4.2K]

Answer:

y = x - 5

Step-by-step explanation:

Equation of any two parallel lines differ only by a constant.

Therefore, the equation of the line parallel to $ax + by + c_1 = 0$ would be ax + by + c₂ = 0.

The equation of the line parallel to $y = x - 3$ should be equal to

x - y + c = 0.

Since, a point intersecting the line is given this means that the line passes through this point. This can be used to determine the value of c.

⇒ 3 -(-2) + c = -5 + c = 0

⇒ c = - 5.

Substituting we get: x - y - 5 = 0

⇒ y = x - 5 is the required equation of the line.

6 0

3 years ago

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and

balu736 [363]

Answer:

(a) The sample size required is 43.

(b) The sample size required is 62.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean is:

$CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

(a)

The information provided is:

σ = 4 minutes

MOE = 72 seconds = 1.2 minutes

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1.2}]^{2}\\\\=42.684\\\\\approx 43$

Thus, the sample size required is 43.

(b)

The information provided is:

σ = 4 minutes

MOE = 1 minute

Confidence level = 95%

α = 5%

Compute the critical value of z for α = 5% as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size required as follows:

$MOE=z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}$

$=[\frac{1.96\times 4}{1}]^{2}\\\\=61.4656\\\\\approx 62$

Thus, the sample size required is 62.

3 0

3 years ago