Katie bought some flour.

The coordinates of a point on a coordinate grid are (−3, 7). The point is reflected across the x-axis to obtain a new point. The

shepuryov [24]

The reflected points would be (-3,-7)

The x coordinate would stay the same but the y-coordinate would be the opposite

8 0

3 years ago

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

PLEASE HELP ASAP!!! 100 POITS!!!

ololo11 [35]

Answer:

The ratio children to adult is 9:3

In reduced form, the ratio is 3:1

3 0

3 years ago

Read 2 more answers

Serena drove 40 km on 3 L of gasoline. Which of the following would be an equation to help you find out how far she can travel o

velikii [3]

So here is the solution to the given problem above.
Given that Serena drove 40km on 3L of gasoline, we can say that she drove 13.33 kilometers per liter of gasoline. Since we want to find out how far she travelled with a full tank of 50L, we will only multiply 13.33 by 50 and we get 666.67 kilometers. So the answer would be 666.67 kilometers for 50 L of gasoline. Hope this helps.

8 0

3 years ago

The formula for the volume v of a regular dodecahedron (a solid with 12 regular pentagons as faces) is v =7.66a^3 where a is the

jonny [76]

Answer:

Volume = 7.66* side^3

side^3 = Volume / 7.66

side^3 = 30 / 7.66

side^3 = 3.9164490862

side = 1.5762707925

side = 1.58 feet (rounded)

Step-by-step explanation:

4 0

3 years ago