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n200080 [17]
2 years ago
6

John has 8 cards that spell the word H O M E W O R K. She shuffles them and then places them face down. Assume she returns the c

ard on each occasion.
b) What is the probability she will choose a consonant?
Mathematics
1 answer:
finlep [7]2 years ago
3 0

Answer:

The probability that I will choose a consonant is 62.50%.

Step-by-step explanation:

Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:

Vowels: 3

Consonants: 5

5/8 = X

0.625 = X

0.625 x 100 = 62.50

Therefore, the probability that I will choose a consonant is 62.50%.

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Five years ago, the population of a city was 49,000. each year the zoning commission permits an increase of 580 in the populatio
Paladinen [302]

The maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population. This can be obtained using the formula of arithmetic progression.

<h3>What will the maximum population be 5 year from now?</h3>

Formula of arithmetic progression is given by,

⇒ aₙ = a + (n - 1)d

where aₙ = nth term, a = first term, d = common difference

Here in the question it is given that,

  • Five years ago, the population of a city was 49,000
  • Each year the zoning commission permits an increase of 580 in the population

   

We have to find out the maximum population in 5 year from now.

By using the formula of arithmetic progression we get,

aₙ = a + (n - 1)d,

here in the question,

  • a = 49,000,
  • n = five years ago + current year + five years from now ⇒ n = 5 + 1 + 5         ⇒ n = 11g
  • d = 580

Now we get,

⇒ aₙ = a + (n - 1)d

⇒ aₙ = 49000 + (11 - 1)580

⇒ aₙ = 49000 + (10)580

⇒ aₙ = 49000 + 5800

⇒ aₙ = 54,800

Hence the maximum population be 5 year from now will be 54,800 given that five years ago, the population of a city was 49,000 and each year the zoning commission permits an increase of 580 in the population.

Learn more about arithmetic progression here:

brainly.com/question/16954227

#SPJ4

8 0
1 year ago
According to the American Lung Association, 7% of the population has lung disease. Of those having lung disease, 90% are smokers
postnew [5]

Answer:

Probability that a smoker has lung disease = 0.2132

Step-by-step explanation:

Let L = event that % of population having lung disease, P(L) = 0.07

So,% of population not having lung disease, P(L') = 1 - P(L) = 1 - 0.07 = 0.93

S = event that person is smoker

% of population that are smokers given they are having lung disease, P(S/L) = 0.90

% of population that are smokers given they are not having lung disease, P(S/L') = 0.25

We know that, conditional probability formula is given by;

                        P(S/L) = \frac{P(S\bigcap L)}{P(L)}  

                        P(S\bigcap L) = P(S/L) * P(L)

                                      = 0.90 * 0.07 = 0.063

So,  P(S\bigcap L) = 0.063 .

Now, probability that a smoker has lung disease is given by = P(L/S)

      P(L/S) = \frac{P(S\bigcap L)}{P(S)}

P(S) = P(S/L) * P(L) + P(S/L') * P(L')

       = 0.90 * 0.07 + 0.25 * 0.93 = 0.2955

Therefore, P(L/S) = \frac{0.063}{0.2955} = 0.2132

Hence, probability that a smoker has lung disease is 0.2132 .

7 0
3 years ago
Last year Lira earned $12,000 less than her husband Todd. Together they earned $75,000. How much did Lira earn last year?
nexus9112 [7]

Given:

Last year Lira earned $12,000 less than her husband Todd.

Together they earned $75,000.

To find:

The amount earned by Lira in last year.

Solution:

Let x be the amount earned by Lira's husband inn last year.

Last year Lira earned $12,000 less than her husband Todd.

Amount earned by Lira = x-12000

Total amount earned by Lira and her husband = x+(x-12000)

                                                                             = 2x-12000

Together they earned $75,000.

2x-12000=75000

2x=75000+12000

2x=87000

x=\dfrac{87000}{2}

x=43500

Now,

Amount earned by Lira = x-12000

                                       = 43500-12000

                                       = 31500

Therefore, the amount earned by Lira in last year is $31500.

6 0
3 years ago
Round 222702 to the nearest ten thousand
melomori [17]
220000 because 2 rounds down
4 0
2 years ago
Read 2 more answers
A parent is using a garden hose to fill up a small inflatable pool for her young child. The
9966 [12]

Answer:

The independent is the 90 gallons and the dependent is the 8 minutes.

Hope this helps!

Step-by-step explanation:

7 0
2 years ago
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