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zlopas [31]
3 years ago
10

You select a card at random from the cards that make up the word REPLACEMENT. On each card, there is 1 letter. Without replacing

the card, you choose a second card. Find the probability of choosing a vowel and then not a vowel.
Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0
Replacement.....4 vowels, 7 consonants...total of 11 letters

P(vowel) = 4/11
without replacing
P(not a vowel) = 7/10

P(both events) = 4/11 * 7/10 = 28/110 reduces to 14/55
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What is the equation of the parabola passing through the points<br>(0,6). (3, 15.6), and (10,-4)?​
Novosadov [1.4K]

Answer:

y = -0.6x^2 + 5x + 6

Step-by-step explanation:

First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.

y = mx + b

15.6 = 3m + 6

9.6 = 3m

m = 3.2

y = 3.2x + 6

y = a(x - 0)(x - 3) + 3.2x + 6

y = a(x)(x - 3) + 3.2x + 6

Finally, substitute 10 for x and -4 for y in the equation above to find a.

-4 = a(10)(10 - 3) + 3.2*10 + 6

-4 = a(10)(7) + 32 + 6

-4 = 70a + 38

-42 = 70a

a = -0.6

Simplify to write in standard form.

y = -0.6(x)(x - 3) + 3.2x + 6

y = -0.6x^2 + 5x + 6

7 0
2 years ago
Rewrite the function W= 50+2.3(h-60) in order to express height as a function of weight
OLga [1]
You need to solve the equation for h.

<span>W= 50+2.3(h-60)

Distribute the 2.3.

W = 50 + 2.3h - 138

W = 2.3h - 88

Add 88 to both sides.

W + 88 = 2.3h

Switch sides.

2.3h = W + 88

Divide both sides by 2.3.

h = (W + 88)/2.3
</span>
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3 years ago
Mrs.Murray gave 60 cans to the food drive. 1 out of every 4 cans were soup cans. How many donated cans were soup cans? Answers a
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3 years ago
Two numbers are in the ratio 3:7
lbvjy [14]

Answer:

98 And 18 i think

Step-by-step explanation:

8 0
3 years ago
Find all pairs of natural numbers which can be the solution to the equation a+b=42.
Setler [38]

Answer:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

Step-by-step explanation:

To find all pairs of natural numbers which are solution to a+b=42, we need to first choose a value to one of them (let's choose 'a'), and that value will be the lowest possible, so we begin with a=1, and then we increase to 2, and 3, and so on.

For each value of a, we calculate the value of b using the equation.

So, starting with a=1, we have that b=41

Then, with a=2, we have that b=40, and so on.

Doing this until a=41 (so b=1 will be the lowest value possible for b), we have the pairs of natural number we want:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

5 0
3 years ago
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