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2 years ago

The value of the digit 4 in the number 42 780 is 10 times the value of the digit 4 in which number

Mathematics

1 answer:

saul85 [17]2 years ago

5 0

I believe the answer is that the 4 in 42,780 is 10 times greater than the 4 in 24,721

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Suppose there is a 20% chance of rain on Monday and a 40% chance of rain on Tuesday. Assuming the weather on successive days is

nadya68 [22]

Answer:

a. 52%

b. 40%

Step-by-step explanation:

Let A represents the event of raining on Monday and B represents the event of raining in Tuesday,

Then according to the question,

P(A) = 20% = 0.2,

P(B) = 40% = 0.4,

Here, A and B are independent events,

So, P(A∩B) = P(A) × P(B),

⇒ P(A∩B) = 0.2 × 0.4 = 0.08

We know that,

P(A∪B) = P(A) + P(B) - P(A∩B)

a. The probability it rains on Monday or Tuesday, P(A∪B) = 0.2 + 0.4 - 0.08

= 0.52

= 52%

b. The conditional probability it rains on Tuesday given that it rained on Monday,

$P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)} = \frac{0.08}{0.2}=0.4 = 40\%$

4 0

2 years ago

Which classification best describes the following system of equations? 3x+6y-12z=36 x=2y-4z=12 4x+8y-16z=48 inconsistent and dep

Viktor [21]

Answer:

Consistent and dependent

Step-by-step explanation:

We are given the following equation:

1. $3x+6y-12z=36$

2. $x+2y-4z=12$

3. $4x+8y-16z=48$

For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with $x+2y-4z=12$ which is the same as the equation number 2.

There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.

6 0

1 year ago

In a data set with a range of 55.4 to 105.4 and 400 observations, there are 176 observations with values less than 86. Find the

IrinaVladis [17]

ANSWER:

In a data set with a range of 55.4 to 105.4 and 400 observations.86 lies in the 49th percentile.

SOLUTION:

Given, in a data set with a range of 55.4 to 105.4 and 400 observations.

There are 176 observations below the value of 86, and we need to find the percentile for 86.

We know that, percentile formula = $\frac{\text {number of observations below the required number}}{\text {total number of observations}} \times 100$

Percentile of 86 = $\frac{176}{400} \times 100$

Since, we cancelled 400 with 100 we get 4 , hence above expression becomes,

$=\frac{176}{4}$ = 49

So, percentile of 86 = 49

Hence, 86 lies in the 49th percentile.

5 0

2 years ago

Nandita earned $224 last month.

dexar [7]

Answer:

X = 8 x 28 = 224

Nandita earns $8 last month by babysitting.

Step-by-step explanation:

225

divided by

28

4 0

1 year ago

Tom and Rob are brothers who like to make bets about the outcomes of different contests between them. Before the last bet, the r

Natali [406]

After Rob has lost, he will have 120 dollars. We can work this out by establishing that if Rob had 280 dollars before the final competition, and the ration at the point was 4 to 7, then this means that Tom must have had 4/7 of what Rob had, so x=4/7 * 280, x = 4 x 40, x = 160. This means that Tom had 160 dollars and Rob had 280. Adding this together they have a combined 440 dollars, but the ratio is now 8:3. There are 11 parts to the ration, due to the fact that 8 and 3 is 11, so we need to work out one part of the ratio - 440 divided by 11 equals forty. This means that Tom has 8 multiplied by 40 (320 dollars) and Rob has 40 multiplied by 3, so 120 dollars.

3 0

2 years ago