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-BARSIC- [3]
3 years ago
6

If a single card is drawn from a standard 52-card deck, in how many ways could it be a diamond or a face card (a face card is a

Jack, Queen, or King)?
Mathematics
2 answers:
nataly862011 [7]3 years ago
6 0
There are 13 diamonds, and 4*3=12 face cards, of which 3 are diamonds.
So total of "diamond or face card" is 13+12-3=22.
=> 
Probability of drawing a diamond OR a face card from a full 52-card deck is
22/52=11/26.
zhuklara [117]3 years ago
4 0

Answer:

\frac{11}{26}

Step-by-step explanation:

Total number of cards in the deck = 52

Total number of face cards = 12

Total number of diamond cards = 13

Total number of diamond face card = 3

So, total number of ways become = 12+13-3=22

These are out of 52.

Hence, it could be a diamond or a face card = \frac{22}{52}=\frac{11}{26}

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You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk
Rina8888 [55]

Answer:

Part a) y=18.50x+100

Part b) The total cost is \$220.25

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

m=\$18.50\ per\ hour

The y-intercept or initial value is equal to

b=\$100

substitute

y=18.50x+100

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

so

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

y=18.50(6.5)+100\\y=\$220.25

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0
3 years ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
AlexFokin [52]

An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.

<h3>What is a quadratic equation?</h3>

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}

From the information provided, we have the following values;

0 = -3x² - 2x + 6

Where:

a = -3

b = -2

c = 6

Substituting the values into the quadratic formula, we have;

x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}

Read more on quadratic equation here: brainly.com/question/4053652

#SPJ1

4 0
1 year ago
SIMPLE CORDINATE PLOTTING! BRAINLIEST, 5 STAR, AND A LIKE ON UR ANSWER. SHOW SOME WORK.
Damm [24]

Answer:

A

Step-by-step explanation:

( 2, -5 )

( -2, -5)

Hope this helps dude

7 0
3 years ago
Read 2 more answers
Please help me I have been stuck for a while now
luda_lava [24]

Answer:

Option 3

Step-by-step explanation:

Pythagorean Theorem:

A^2 + B^2 = C^2 \\\\300^2 + 400^2 = 500^2

3 0
3 years ago
Write a polynomial in standard form with zeros at -2 and 3 !!!!! PLZ HELP
lara31 [8.8K]

If the zeros are -2 and 3, then the factored form would be

(x+2) and (x-3)  

-2+2 = 0 and 3-3 = 0

A polynomial is written as ax^2 + bx + c

Expand (x+2) (x-3) using FOIL: Multiply each tern in one set of parenthesis by each term in the other set and then simplify by combining like terms:

x*x + x*-3 + 2*x + 2*-3

x^2 -3x + 2x -6

Polynomial in standard form:

x^2 -x -6

3 0
3 years ago
Read 2 more answers
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