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Mekhanik [1.2K]
3 years ago
14

An ordinary deck of playing cards has 52 cards. There are four suits spades, hearts, diamonds, and clubs, with 13 cards in each

suit. Spades and clubs are black; hearts and diamonds are red. If two of these cards are selected at random, what is the probability that the card selected is a spade then a black face card?
Mathematics
1 answer:
AURORKA [14]3 years ago
3 0
1/4 probability because there is 4 suits and you are looking for one out of the four suits.<span />
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2 years ago
Paint can be purchased in two sizes: 1 gallon for $45.99 or 1 quart for $14.99.(round to the hundredths place)a.unit ratio of 1
ExtremeBDS [4]

Answer:

  a. $0.47 per ounce

  b. $0.36 per ounce

  c. the gallon size costs less per ounce

Step-by-step explanation:

A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.

__

<h3>a.</h3>

Unit cost for a quart:

  ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz

__

<h3>b.</h3>

Unit cost for a gallon:

  ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz

__

<h3>c.</h3>

The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.

If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.

3 0
2 years ago
If g(x)= x=2 and h(x) = 4 - X, what is the value of (gºh)(-3)?
navik [9.2K]

The required value of (g°h)(-3) is 5.

Step-by-step explanation:

Given,

g(x)= x-2 and h(x) = 4 - x

To find (g°h)(-3)

Now,

(g°h)(x) = g(h(x))

= g(4-x)

= (4-x)-2 = 2-x

So,

(g°h)(-3) = 2-(-3) = 5 [ putting x=-3]

8 0
3 years ago
Find slope x-intercept=5,y-intercept=3
shutvik [7]
Intercepts<span> occur when a line crosses the </span>x<span>-axis or the </span>y<span>-axis. When the line crosses the </span>x<span>-axis, then </span>y<span> = 0 and </span>x<span> = </span>3<span>. ... The </span>intercept<span> points are (0, 4) and (</span>3<span>, 0 ). So the </span>y-intercept<span> is 4 and the </span>x intercept<span> is </span>3<span> and the sum is 7.</span>
7 0
3 years ago
If the measure of ABC is 57º, what is the measure of AB?
azamat

Answer:

114°

Step-by-step explanation:

The measure of an arc is double the measure of the angle between the chord and the tangent line.

3 0
3 years ago
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