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13 days ago

10

Carlos has 58 pencils what is the value of the digit 5 in this number

2 answers:

AnnZ [9K]13 days ago

6 0

The digit 5 represents 50 because it is in the tens place.

PIT_PIT [9.1K]13 days ago

3 0

The digit has a value of 50.

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Mary put in a total of 16 1/2 hours mowing lawns during 5 days the past week. How long was her average work day?

Leona [9271]

Answer:

To find the average, divide 16 1/2 by 5.

Converting 16 1/2 to decimal form gives 16.5, and when divided by 5, the outcome is 3.3, which can also be represented as 3 and 3/10 in fractional form.

Thus, her average workday lasted 3.3 hours.

7 0

3 days ago

The chance of winning a certain game at a carnival is 2 in 5. If Andy plays the game 12 times, what is the probability that he l

PIT_PIT [9117]

Answer:

There is a 1.5267% chance that he loses AT MOST 3 times.

Step-by-step explanation:

Each game Andy plays has only two outcomes: a win or a loss. The probability of winning doesn’t depend on previous games, leading us to use the binomial probability distribution for this situation.

Binomial probability distribution

This distribution calculates the probability of achieving exactly x successes in n trials with only two possible outcomes for X.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

Where $C_{n,x}$ signifies the various combinations of x objects from a set of n elements, calculated using:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p represents the likelihood of X occurring.

The winning probability for a certain carnival game is 2 out of 5.

This implies a losing chance of (5-2) in 5, equaling 3 out of 5.

Thus, $p = \frac{3}{5} = 0.6$

Considering 12 games:

Consequently, $n = 12$ .

What probability is there that he loses AT MOST 3 times?

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$ .

Where:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.6)^{0}.(0.4)^{12} = 0.000017$

$P(X = 1) = C_{12,1}.(0.6)^{1}.(0.4)^{11} = 0.000302$

$P(X = 2) = C_{12,2}.(0.6)^{2}.(0.4)^{10} = 0.002491$

$P(X = 3) = C_{12,3}.(0.6)^{3}.(0.4)^{9} = 0.012457$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.000017 + 0.000302 + 0.002491 + 0.012457 = 0.015267$

The likelihood of losing AT MOST 3 times is 1.5267%.

6 0

16 days ago

Divide rs 350 in ratio 2:5

Zina [9171]

Answer:

100: 250

Step-by-step explanation:

Add the components of the ratio, 2 + 5 = 7 total parts

To determine the value of a single part of the ratio, divide the amount by 7.

350 ÷ 7 = 50 ← this represents the value of one part of the ratio, hence

2 parts = 2 × 50 = 100

5 parts = 5 × 50 = 250

350 is equivalent to 100: 250 in the ratio 2: 5

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2 days ago

Circle M has a radius of 7.0 cm. The shortest distance between P and Q on the

PIT_PIT [9117]

Answer:

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Step-by-step explanation:

7 0

1 month ago

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If December had 33 days, what would the 33rd calendar marker look like?

Svet_ta [9500]

Answer:black

Step-by-step explanation:

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10 days ago