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3 years ago

Please help: (picture)

Mathematics

1 answer:

Slav-nsk [51]3 years ago

3 0

We need to solve the speed formula for d. To do so, let's start by moving the number of the left hand side:

$\frac{S}{356} = \sqrt{d}$

Square both sides to get rid of the square root:

$\frac{S^2}{126736} = d$

Now plug the known value of the speed to find the distance:

$d = \frac{140^2}{126736} = \frac{19600}{126736} \approx 0.15465$

So the closest answer is the last one: d=0.155km

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2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation whic

Artemon [7]

<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

$\sf{\rightarrow{d = kt}}$

$\sf\rightarrow{20 = 2k }$

$\sf\rightarrow{K= \frac{20}{2} }$

$\sf\rightarrow{K={\color{magenta}{10}}}$

<h2><u>Answer</u>:-</h2>

Therefore, the constant of variation is 10.

3 0

3 years ago

Can someone explain this? :)

Alchen [17]

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

-------------------------

To summarize, we have these three angles

a = 123

b = 123

c = 57

6 0

3 years ago

Read 2 more answers

The midpoint of AB is M (-3,-3) if the coordinates of A are (-8,-2)what are the coordinates of B

bearhunter [10]

The coordinates of B would be (2, -4)

In order to find this, we need to know that the value of M's points will always be the average of A and B's points. This is because it is the midpoint. Therefore we can use the following formula.

Value of x

(A + B)/2 = M

(-8 + B)/2 = -3

-8 + B = -6

B = 2

Then we can do the same for the y values

Value of y

(A + B)/2 = M

(-2 + B)/2 = -3

-2 + B = -6

B = 4

7 0

3 years ago

Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.

statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Suppose a basketball player has made 231 out of 361 free throws.

This means that $p = \frac{231}{361} = 0.6399$

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095$

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

$E = -31*0.4095 + 21*0.5905 = -0.29$

The expected value of the proposition is of -0.29.

3 0

3 years ago

Least to greatest -14,10,12,-6,-8,-9,13

tatyana61 [14]

Answer: -14, -9, -8, -6, 10, 12, 13

Step-by-step explanation: Think of all the numbers money. The negative ones mean that you owe people money so the bigger the negative number is the more you owe people which is the less money you have.

6 0

3 years ago

Read 2 more answers