PLEASE HELP!!! WILL THANK AND MARK BRAINIEST!!!! Match the properties for 2.8 + 6.7 - 8.4

PLEASE SHOW WORK OR EXPLAIN

timofeeve [1]

Answer:

Step-by-step explanation:

You must use the trigonometric function.

In this case, it will be tangent.

$tangent=\dfrac{opposite}{adjacent}$

We have

$\theta=38^o,\ opposite=r,\ adjacent=20$

$\tan38^\approx0.7813$

Substitute:

$\tan38^o=\dfrac{r}{20}$

$\dfrac{r}{20}=0.7813$ <em>multiply both sides by 20</em>

$r=15.626$

Tree height is r + 5.

Therefore

$r+5=15.626+5=20.626\approx20.6\ ft$

7 0

3 years ago

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2643 miles, with a standard

musickatia [10]

Answer:

$P(2643-51< \bar X < 2643+51)= P(2592< \bar X$

And we can use the z scoe formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the limits we got:

$z = \frac{2592-2643}{\frac{368}{\sqrt{44}}}= -0.919$

$z = \frac{2694-2643}{\frac{368}{\sqrt{44}}}= 0.919$

And this probability is equivalent to:

$P(-0.919$

Step-by-step explanation:

For this case we can define the random variable X as "number of miles between services" and we know the following info given:

$\mu = 2643 , \sigma = 368$

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

We select a random sample size of n =44. And we want to find this probability:

$P(2643-51< \bar X < 2643+51)= P(2592< \bar X$

And we can use the z scoe formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for the limits we got:

$z = \frac{2592-2643}{\frac{368}{\sqrt{44}}}= -0.919$

$z = \frac{2694-2643}{\frac{368}{\sqrt{44}}}= 0.919$

And this probability is equivalent to:

$P(-0.919$

4 0

3 years ago

How do you prove this??? I tried and i didn't get the answers

Sonbull [250]

The equation is correct. There's nothing wrong with it.

8 0

4 years ago

Which conversion requires division? Use the metric table to help answer the question.

denis-greek [22]

Anything that is going from small scale to large scale
Like Centimeter to Meter
Like Meter to Kilometer
Like Feet to Mile
Like Yard to Mile
Like Feet to Yard

12000 feet divided by 3 is 4000, so 4000 yards, that kid of thing

8 0

4 years ago

Read 2 more answers

(05.05) Which of the following inequalities matches the graph? (1 point)

ZanzabumX [31]

Answer: Choice C. $y \ge -1$

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Explanation:

The boundary line is a solid line and it's horizontal. Every point on the boundary line has y coordinate -1. So y = -1 is the equation of the boundary line. We can write it as y = 0x-1.

The shading is above the boundary line, so the inequality is $y \ge -1$

Any point (x,y) in the shaded region has y coordinate that is y = -1 or greater.

For example, the point (0,2) in the shaded region has y coordinate y = 2, and it satisfies the inequality $y \ge -1$ because $2 \ge -1$ is a true statement.

Note: the boundary line is solid, so any point on the boundary line is part of the shaded solution set. This is due to the "or equal to" as part of the inequality sign.

5 0

3 years ago

PLEASE HELP!!! WILL THANK AND MARK BRAINIEST!!!! Match the properties for 2.8 + 6.7 - 8.4 - 4.1