A line has a slope 1/8 of and passes through the point (-4, -7). What is its equation in point-

A ball is launched into the sky at 54. 4 ft./s from a 268.8 m tall building. The equation for the ball’s height, h, at time t se

Crank

Answer:

t = 21

Step-by-step explanation:

The ball strikes the groujd when h = 0.

$-3.2t^2 + 54.4t+268.8=0 \\ \\ 32t^2 - 544t-2688=0 \\ \\ t^2 - 17t-84=0 \\ \\ (t-21)(t+4)=0 \\ \\ t=-4, 21$

Since time must be positive, t = 21.

6 0

2 years ago

What is 42/6 in simplest form

Sindrei [870]

$\frac{42}{6} =\frac{6\times7}{6\times1} =\frac{7}{1} =\boxed{\bf{7}}$

42/6 in simplest form is 7.

4 0

3 years ago

Read 2 more answers

Write an equation that could be used to find the measure of each angle

zheka24 [161]

Answer:

3x =50 2x= 50

Step-by-step explanation:

because if 3x is 50 and 2x is 50 then you have the 80 degree angle that makes a straight angle which is 180 degrees.

8 0

3 years ago

WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the

azamat

Answer:

a) $P(X>20)=P(\frac{X-\mu}{\sigma}>\frac{20-\mu}{\sigma})=P(Z>\frac{20-15}{3.5})=P(z>1.43)$

And we can find this probability using the complement rule, the normal standard distribution or excel or a calculator

$P(z>1.43)=1-P(z$

b) $P(X$

And we can find this probability using the normal standard distribution or excel or a calculator

$P(z$

c) $P($

And we can find this probability using the normal standard distribution or excel or a calculator with the following difference:

$P(-1.43$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:

$X \sim N(15,3.5)$

Where $\mu=15$ and $\sigma=3.5$

We are interested on this probability

$P(X>20)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X>20)=P(\frac{X-\mu}{\sigma}>\frac{20-\mu}{\sigma})=P(Z>\frac{20-15}{3.5})=P(z>1.43)$

And we can find this probability using the complement rule, the normal standard distribution or excel or a calculator

$P(z>1.43)=1-P(z$

Part b

$P(X$

And we can find this probability using the normal standard distribution or excel or a calculator

$P(z$

Part c

$P($

And we can find this probability using the normal standard distribution or excel or a calculator with the following difference:

$P(-1.43$

5 0

3 years ago

767 runners entered a race. 305 more entered before the race started. How many runners are in the race? A 1072

boyakko [2]

1072 is the answer duh

4 0

3 years ago