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Temka [501]
3 years ago
6

Martha has a jar that contains 5 red marbles and 7 white marbles. She randomly draws one marble and then draws another marble. W

hat is the probability of drawing two white marbles if the marbles are drawn:
(a) without replacement?
(b) with replacement?
Mathematics
1 answer:
maxonik [38]3 years ago
4 0

Answer:

the probability is 2/12

you might have to explain what replacement means

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ABC is a straight line.The length of AB is four times the length of BC.AC=75
bearhunter [10]

Answer:

AB = 60

Step-by-step explanation:

Given AC = 75 and AB = 4BC, then

AB + BC = AC, that is

4BC + BC = 75

5BC = 75 ( divide both sides by 5 )

BC = 15

Thus

AB = 4BC = 4 × 15 = 60

7 0
3 years ago
Simplify the expression 5+6i/4+6i<br> A) 56-6i/-20<br> B) -16-6i/-20<br> C)56-6i/52<br> D) -16-6i/52
IRISSAK [1]

Answer:

The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

= \frac{5 + 6i}{4 + 6i}

Now rationalize the expression.

= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}

= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}

As i² = -1

= \frac{20-30i+24i+36}{16 + 36}

= \frac{56-6i}{52}

Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

8 0
3 years ago
Read 2 more answers
Which inequality defines the shaded region graphed below?
masha68 [24]

Answer:

Every ordered pair within this region will satisfy the inequality y ≥ x. Incorrect. The boundary line here is y = x, and the correct region is shaded, but remember that a dotted line is used for < and >. The inequality you are graphing is y ≥ x, so the boundary line should be solid.

7 0
2 years ago
1. Complete the tables of values below for graphing the secant and cotangent functions. You can type “U” for an undefined value.
Katyanochek1 [597]

Step-by-step explanation:

1. All the trigonometric values can be found using the unit circle.  See attached table.

2. Graph:

desmos.com/calculator/10n7yrm3tm

3. All trig functions are periodic functions.  The period of secant and cosecant is 2π.  The period of cotangent is π.

4. Using the table from step 1 and the graph from step 2, secant has a domain of x ≠ pi/2, 3pi/2 and a range of x ≤ -1, x ≥ 1.  Cotangent has a domain of x ≠ 0, pi, 2pi and a range of -∞ < x < ∞.

5. Graph:

desmos.com/calculator/tldiqt7qra

Cosecant has the same graph as secant shifted π/2 to the right.  So they have different domains, but the same range.

6 0
3 years ago
Triangle ABC has vertices A(0,0), B(3,2), and C(0,4). This triangle may be classified as ?..?
djyliett [7]
It is definitely an isosceles triangle. when you plot it in a graph you will see that AB=BC=CA or AC.All the sides will be equal.
5 0
3 years ago
Read 2 more answers
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