How to solve 5(x+2)(x-2)

How do u type negative one on here

ipn [44]

Answer:

-1

Step-by-step explanation:

7 0

3 years ago

Evaluate if m=-6 what is m/2 + m =

love history [14]

Answer:

9

Step-by-step explanation:

they said that m=6 which you can plug in into the problem, now that you know what 'm' is. It will look like this:

6/2 + 6 = ?

6 divided by 2 = 3 so it'll look like this

3 + 6 = 9

7 0

3 years ago

You fly a hot air balloon 3.5 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round y

STatiana [176]

Answer:

$\Delta s \approx 334.545\,m$

Step-by-step explanation:

Let assume that Earth is a sphere, the following trigonometric diagram is constructed and presented below. The central angle is given by this inverse trigonometric equation:

$\theta = 2\cdot \cos^{-1} \left(\frac{r}{r+h} \right)$

$\theta = 2\cdot \cos^{-1}\left(\frac{4000\,mi}{4000\,mi+3.5\,mi} \right)$

$\theta = 4.792^{\circ}$

The distance of the portion of Earth that can be seen is:

$\Delta s = \frac{4.792^{\circ}}{360^{\circ}}\cdot (2\pi)\cdot (4000\,mi)$

$\Delta s \approx 334.545\,m$

7 0

3 years ago

The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. Th

ankoles [38]

We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{38-38}{6}=\frac{0}{6}=0$

Now we will find z-score corresponding to 56.

$z=\frac{56-38}{6}=\frac{18}{6}=3$

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is $-3\sigma\text{ to }3\sigma$ .

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

$\frac{99.7\%}{2}=49.85\%$

Therefore, approximately $49.85\%$ of lightbulb replacement requests numbering between 38 and 56.

6 0

3 years ago

Anyone who plays or watches sports has heard of the "home field advantage." Teams tend to win more often when they play at home.

AveGali [126]

Answer:

H0 : μ = 0.5

H0 : μ > 0.5

Kindly check explanation

Step-by-step explanation:

H0 : μ = 0.5

H0 : μ > 0.5

We perform a right tailed test :

Sample proportion :

Number of games won, x = 142

Number of games, n = 250

phat = x / n = 142 / 250 = 0.568 = 56.8%

Yes, it is consistent

Test statistic :

(phat - p) * √Phat(1-Phat)/n

1 -Phat = 1 -0.568 = 0.432

(0.568 - 0.5) /√(0.568*0.432)/250

0.068 / 0.0313289

= 2.17

The Pvalue using the z test statistic :

Pvalue = 0.015

α = 0.03

Since ;

Pvalue < α ; We reject the null and conclude that teams tend to win more often when they play at home.

8 0

3 years ago