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3 years ago

Marco can run 250 feet in 30 seconds. At the same rate, how many seconds will it take him to run 1 mile?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

At the same rate, it will take 638.3 seconds to run 1 mile.
hope it helps you .

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A single card is drawn from a standard 52-card deck. Let D be the event that the card drawn is a black card and let F be the eve

tester [92]

Answer:

The indicated probability of $P(D \cup F')=\frac{25}{26}$

Step-by-step explanation:

Probability of an event E to be;

P(E) = $\frac{Number of events within E}{Total number of possible outcomes}$

As per the given condition:

Total number of possible outcomes = 52 cards.

Let the event be D and F as follows;

D : Drawn card is a black card

F : Drawn card is a 10 card.

Then,

From the given condition:

P(D) = $\frac{26}{52}$ [Out of 52 cards, 26 were black] ,

P(F) = $\frac{4}{52}$ [Out of 52 cards, there are four 10 cards]

For any two events A and B we always have;

$P(A \cup B) = P(A)+P(B)-P(A \cap B)$

Now, we have to find the indicated probability:

$P(D \cup F')=P(D)+P(F')-P(D \cap F')$ ......[1]

First find the P(F');

P(F') =1-P(F) = $1-\frac{4}{52} =\frac{52-4}{52} =\frac{48}{52}$

Also, to find $P(D \cap F')$ .

We use the formula :

For any event A and B independent variable.

$P(A \cap B) =P(A) \cdot P(B)$

then;

$P(D \cap F') =P(D) \cdot P(F') = \frac{26}{52} \cdot \frac{48}{52} =\frac{24}{52}$

Now, substitute these in [1];

$P(D \cup F')=\frac{26}{52} +\frac{48}{52} -\frac{24}{52}$ = $\frac{26+48-24}{52} =\frac{50}{52} = \frac{25}{26}$

Therefore, the probability of $P(D \cup F')=\frac{25}{26}$

3 0

3 years ago

Urgent answer please <br> Ax+ay+xa+ya

marin [14]

Answer:

Possible derivation:

d/dx(a x + a y(x) + x a + y(x) a)

Rewrite the expression: a x + a y(x) + x a + y(x) a = 2 a x + 2 a y(x):

= d/dx(2 a x + 2 a y(x))

Differentiate the sum term by term and factor out constants:

= 2 a (d/dx(x)) + 2 a (d/dx(y(x)))

The derivative of x is 1:

= 2 a (d/dx(y(x))) + 1 2 a

Using the chain rule, d/dx(y(x)) = (dy(u))/(du) (du)/(dx), where u = x and d/(du)(y(u)) = y'(u):

= 2 a + d/dx(x) y'(x) 2 a

The derivative of x is 1:

= 2 a + 1 2 a y'(x)

Simplify the expression:

= 2 a + 2 a y'(x)

Simplify the expression:

Answer: = 2 a

Step-by-step explanation:

8 0

3 years ago

jane hilman went to her bank. she has a balance of $1009.88 in her savings account. she withdrew $130.00 and the teller credited

blagie [28]

First substract $130.00 from $1009.88 like this:
$\$1009.88-\$130.00=\$879,88$
Then substract $6.19 we get:
$\$879,88-\$6.19=\$873,69$
$873.69 is the remaining amount in <span>Jane hitman's account. </span>

3 0

3 years ago

SOLVE FOR BOTH K's PLS

Zarrin [17]

Answer:

4 and -3 if im not wrong......

3 0

2 years ago

I Will give you 98 points if you will answer this.

Readme [11.4K]

hey just use symbolad it shows you step by step and gives you the answer.

3 0

3 years ago