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1 year ago

26. A single card is drawn from a deck. Find the probability that the card is either red or a face card.

Mathematics

1 answer:

Lana71 [14]1 year ago

7 0

Answer:

8/13

Step-by-step explanation:

There are total 26 red cards in the deck of 52 cards.

There are also 12 face cards in the deck ( which is 6 of them are red, while 6 of them are black)

Since we only need either one of them, 26 + 6 = 32

The probability of drawn a card that either red or a face card is 32/52

The simplest form of this fraction is 8/13.

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Train a travel 175 miles in a four hours. for train b y=43.5x represents its rate of speed over the same 4 hours which train tra

stepan [7]

Answer:

Train A is faster by a factor of 1.01

Step-by-step explanation:

Given:

Train A:

Distance = 175 Miles

Time = 4 Hours

Train B:

y=43.5x

To Find:

which train travels at a faster rate in by what factor =?

Solution:

The speed of the train A = $\frac{Distance}{time}$

The speed of train A = $\frac{175}{4}$

The speed of train A = 43.75 miles per hour

Speed of the train B is the slope of the given line

The standard equation of the slope of the line is

y = mx+b

where m is the slope

and we are given with

y = 43.5x

So comparing with the standard equation

m = 43.5

Hence the speed of train B is 43.5 miles per hours

Train A travels faster

$Rate =\frac{\text{speed of train A}}{\text {Speed of train B}}$

$rate = \frac{43.75}{43.5}$

rate =1.01

7 0

3 years ago

8. Stephanie bought a pair of earrings for $3.25 and a necklace for

Marysya12 [62]

Answer:

the answer is 9.56

Step-by-step explanation:

3.25 + 5.25 = 8.50 ÷ 8 = 1.06 + 8.50 = 9.56

hope it helps :)

6 0

2 years ago

Evaluate :<br> A. <img src="https://tex.z-dn.net/?f=x%5E%7Bx%5E3%7D%3D3" id="TexFormula1" title="x^{x^3}=3" alt="x^{x^3}=3" alig

sdas [7]

Answer:

$x^{x^3} = 3$
log $x^{x^3}$ = log 3
x³ log x = log 3
3x³ log x = 3 log 3
x³ log x³ = log 3³
$x^3^{x^3}$ = 3³
x³ = 3
x = $3^{1/3}$

4ˣ + 6ˣ = 9ˣ
2²ˣ + 2ˣ3ˣ = 3²ˣ

<u>Divide both sides by 2²ˣ</u>

1 + (3/2)ˣ = (3/2)²ˣ

<u>Substitute (3/2)ˣ = t</u>

t² - t - 1 = 0

<u>Solve for t:</u>

t = (1 ± √5)/2

<u>Positive root is considered as (3/2)ˣ can't be negative.</u>

(3/2)ˣ = (1 + √5)/2
x = log [(1 + √5)/2] / log (3/2)
x = 1.18681439028

7 0

3 years ago

Can three segments with lengths 18, 35, 16 make a triangle?

tiny-mole [99]

Answer:

no since 18+16=34<35 it must be greater than 35

8 0

3 years ago

For the following system, if you isolated x in the second equation to use the subsition method, what expression would you subsit

kkurt [141]

A.3y+12

i think so,or maybe D or B

7 0

2 years ago