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kotykmax [81]
3 years ago
5

A single card is drawn from a deck. Find the probability of selecting a heart or a 9

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0
Probability of heart = 13/52
probability of nine = 4/52

you add the probability because of the word "or" but must subtract the probability of drawing the 9 hearts because it's counted twice. counted once in heart probability and once again in nine probability.

probability of 9 <3 = 1/52

probability of heart or nine:
13/52 + 4/52 - 1/52 = 16/52
simplified;
= 4/13
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Find the mixed number equivalent to the im<br> proper fraction 22/6
Naddik [55]

Answer:

3\frac{2}{3}

Step-by-step explanation:

Given the following question:

\frac{22}{6}

In order to convert a mixed number into an improper fraction we have to divide the numerator (in this case; 22) by the denominator (in this case; 6) to find your answer.

\frac{22}{6}
\frac{22}{6} \div2=\frac{11}{3}
\frac{11}{3}=11\div3=3\frac{2}{3}
=3\frac{2}{3}

Let three represent how many times 3 goes into 11, let 2 represent the remainder while of course keeping the denominator the same. Your answer is "3 2/3."

Hope this helps.

6 0
2 years ago
Given a point A(-3,-1), it is dilated by some scale
Sidana [21]

Answer:

B' = (-3, -15)

Step-by-step explanation:

Given

A = (-3,-1)

A' = (-9,-3)

B = (-1,-5)

Required

Determine the coordinates of B'

Since A' is the image of A; we need to first calculate the scale factor using

A' = A * Scale\ factor

Make Scale Factor the subject

Scale\ Factor = \frac{A'}{A}

Substitute values for A' and A

Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}

Factorize the numerator

Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}

Scale\ Factor = \frac{3 * 1}{1}

Scale\ Factor = 3

The coordinates of B' is then calculated as follows:

B' = B * Scale\ Factor

Substitute values for B and Scale Factor

B' = (-1,-5) * 3

B' = (-3, -15)

3 0
3 years ago
The graph of f(x) = 18x is reflected about the x-axis and shifted upward 8 units. What is the equation of the new function, g(x)
stellarik [79]
<h3>Answer:</h3>
  • g(x) = -18x +8
  • y-intercept: (0, 8)
  • domain: (-∞, ∞)
  • range: (-∞, ∞)
<h3>Explanation:</h3>

Reflecting a function across the x-axis changes every y-value to its opposite. That is, f(x) = 18x becomes g(x) = -18x.

Shifting a function upward 8 units adds 8 to every y-value. That is, g(x) becomes g(x)+8.

The combined effect of these two transformations on f(x) is to give you ...

... g(x) = -18x + 8

You recognize this as the equation of a line in slope-intercept form, with the y-intercept being +8. That is, g(0) = -18·0 +8 = 8. The y-intercept is ...

... (0, 8)

The domain and range of any linear equation is "all real numbers," that is, ...

... (-∞, ∞).

8 0
4 years ago
I need help plz..................................
Xelga [282]
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5 0
3 years ago
18/? = ?/5 = 6? This is so confusing to me omg
Tju [1.3M]

Answer:

18/3=30/5=6

Step-by-step explanation:

6 0
3 years ago
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