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3 years ago

4. Bikes A and B are traveling on perpendicular roads. At the same time, bike A is

Mathematics

1 answer:

Rashid [163]3 years ago

4 0

1 foot per second and the distance between them after five seconds is 5 feet

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The line passing through (-2,5) and (2,p) has a gradient of -1/2. <br><br> Fnd the value of p

makkiz [27]

Given:

The line passing through (-2,5) and (2,p) has a gradient of $-\dfrac{1}{2}$ .

To find:

The value of p.

Solution:

If a line passes through two points, then the slope of the line is:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

The line passing through (-2,5) and (2,p). So, the slope of the line is:

$m=\dfrac{p-5}{2-(-2)}$

$m=\dfrac{p-5}{2+2}$

$m=\dfrac{p-5}{4}$

It is given that the gradient or slope of the line is $-\dfrac{1}{2}$ .

$\dfrac{p-5}{4}=-\dfrac{1}{2}$

On cross multiplication, we get

$2(p-5)=-4(1)$

$2p-10=-4$

$2p=-4+10$

$2p=6$

Divide both sides by 2.

$p=3$

Therefore, the value of p is 3.

4 0

3 years ago

Find the probability.

KATRIN_1 [288]

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.

After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.

For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

$p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366$

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0

2 years ago

What is the value of X ?

umka21 [38]

Answer:

15 because its 15j hvyb

7 0

3 years ago

The weight of baby goats is believed to be Normally distributed, with a mean of 5.75 pounds. The average weight of a random samp

Julli [10]

Answer:

The standard error of the mean is 0.0783.

Step-by-step explanation:

The Central Limit Theorem helps us find the standard error of the mean:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

The standard deviation of the sample is the same as the standard error of the mean. So

$SE_{M} = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\sigma = 0.35, n = 20$

$SE_{M} = \frac{\sigma}{\sqrt{n}}$

$SE_{M} = \frac{0.35}{\sqrt{20}}$

$SE_{M} = 0.0783$

The standard error of the mean is 0.0783.

7 0

3 years ago

Meyer used 8 loads of gravel to cover 2/5 of his driveway. How many loads of gravel will he need to cover his entire driveway?

stich3 [128]

Answer:Meyer uses 2.5 loads

Step-by-step explanation:Why does he use 2.5? Because, he has 8 loads and with 1 load he covers 2/5 of his driveway so 2 loads covers 4/5 and 2.5 loads cover 5/5 of his driveway

3 0

3 years ago