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9966 [12]
3 years ago
7

You select a card at random from the cards that make up the word “replacement”. Without replacing the card, you choose a second

card. Find the probability of choosing a consonant and then an “e”. There is 1 letter for each card.
Mathematics
1 answer:
natta225 [31]3 years ago
6 0
To find the total probability, we first need to solve for the probability of the individual events.

Event 1:
P(consonant)=7/11
We know this to be true because out of the 11 total possibilities for the event, 7 of them are consonants.
R E P L A C E M E N T 


Event 2
P(e)=3/10
We know this to be true because out of the 10 total possibilities for the event (since we didn't replace the first card we withdrew), 3 of them are the letter 'e'.
R E P L A C E M E N T (-1 to account for the first card we withdrew)

The possibility of both events...

P(consonant then 'e')=7/11*3/10=21/110

Answer: P=21/110
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I need help with #2 and #6 pleaseeeeee
Mumz [18]

Answer:

Area of the rectangle = x² - 3x - 10

2019

Step-by-step explanation:

Length of the rectangle = x + 2

Width of the rectangle = x - 5

Area of the rectangle = length × width

= (x + 2) (x - 5)

= x² + 2x - 5x - 10

= x² - 3x - 10

Area of the rectangle = x² - 3x - 10

C = 20t² + 135t + 3050

Where

C = the number of new cars

t = year the number of new cars was purchased

t = 0 corresponds to 1998

Find the when c = 15,000

C = 20t² + 135t + 3050

15,000 = 20t² + 135t + 3050

20t² + 135t + 3050 - 15,000 = 0

20t² + 135t - 11,950 = 0

4t² + 27t - 2390 = 0

Solve using quadratic equation

t = -b ± √b² - 4ac / 2a

= -27 ± √27² - 4(4)(-2390) / 2(4)

= -27 ± √729 -(-38240) / 8

= -27 ± √729 + 38240 / 8

= -27 ± √38969 / 8

= -27/8 + √38969/8 or 27/8 - √38969/8

= -3.375 + 197.41/8 or -3.375 - 197.41/8

= -3.375 + 24.67625 or -3.375 - 24.67625

t = 21.30125 or - 28.05125

t cannot be negative

Therefore,

t = 21.30125

To the nearest whole number

t = 21

Recall,

t = 0 corresponds to 1998

Therefore

1998 + 21 = 2019

c = 15,000 in the year 2019

4 0
3 years ago
Convert 17/97 to decimal using Long Division Method (round to 3 dp)
Mariana [72]

17/97 to decimal

17/ 97 = 0.175

Answer : 0.175

..

6 0
1 year ago
Answer this question correctly please and then I’ll mark you as a brainliest!
Studentka2010 [4]

Answer:


Step-by-step explanation:

1) 2 - (- 8) = 2 + 8 = 10


2) 2/5 + (- 1/5) = 2/5 - 1/5 = 1/5


3) We can find the common denominators through the least common multiple between the denominators:


4,12 | 2

2, 6 | 2

1, 3 | 3

1, 1 (2 × 2 × 3 = 12)


Then, 12 is the least common denominator.


4) 8 (1/4) + 10 (2/5) + 7 (5/8)

8 (1/4) = 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 4/4 + 1/4 = 33/4


10 (2/5) = 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 5/5 + 2/5 = 52/5


7 (5/8) = 8/8 + 8/8 + 8/8 + 8/8 + 8/8

+ 8/8 + 8/8 + 5/8 = 61/8


33/4 + 52/5 + 61/8


Employing the least common denominator:


4, 5, 8 | 2

2, 5, 4 | 2

1, 5, 2 | 2

1, 5, 1 | 5

1, 1, 1 (2 × 2 × 2 × 5 = 40)


(40 ÷ 4 × 33)/40 + (40 ÷ 5 × 52)/40 + (40 ÷ 8 × 61)/40

330/40 + 416/40 + 305/40

1051/40


This person ran about 26 Miles


I hope I helped you.



8 0
3 years ago
Help me solve seven pls pls
frutty [35]

Answer:

B. 20

Step-by-step explanation:

First, 20% of 20 is 4.

36 decreased by 4 (36-4) is 32.

The equation is N (160%)=32    or    1.6n=32

160% because it was already 100%, and its increased by 60% (100+60)

Divide  both sides by 1.6.

You get n=20

I hope this helps!

8 0
3 years ago
3. Elana has a box with the dimensions
kykrilka [37]
The answer is really easy you can go through anything
3 0
3 years ago
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