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VikaD [51]
3 years ago
6

Write a division problem. Show two different ways that you can estimate the quotient using compatible numbers.

Mathematics
1 answer:
Levart [38]3 years ago
3 0
98 divided by 7


1. 98-round to 100
    7-round to 10

100 divided by 10=10

So 98 divided by 7 is about 10

That is one way

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A standard deck of cards contains 52 cards. One card is selected from the deck.​(a)Compute the probability of randomly selecting
Aneli [31]

a. There are four 5s that can be drawn, and \binom43=4 ways of drawing any three of them. There are \binom{52}3=22,100 ways of drawing any three cards from the deck. So the probability of drawing three 5s is

\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of \frac8{52}=\frac2{13}\approx0.15 of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability \frac{12}{52}=\frac3{13}\approx0.23 of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of \frac{16}{52}=\frac4{13}\approx0.31.

- - -

Note: \binom nk is the binomial coefficient,

\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k

6 0
3 years ago
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of serv
dimulka [17.4K]

Answer:

B

Step-by-step explanation:

The wording in the problem statement is ...

... "less than 3 years"

... "at least 3. but less than 6 years"

so we expect the inequality symbols to look like ...

... 0 ≤ x < 3

... 3 ≤ x < 6

These match <em>the second piecewise function</em>.

3 0
3 years ago
What number must be added to the expression below to complete the<br> square?<br> х2 - 20х
DochEvi [55]

Answer:

100

Step-by-step explanation:

This is formula fot completing the square:

(b/2)^(2)

(-20/2)^(2)

100

6 0
3 years ago
Katy is on a path, moving towards a bridge. The given table represents a function that describes Katy’s distance from the bridge
Sophie [7]

Answer:

D : Katy was 300 meters from the bridge, and it took her 6 minutes to reach the bridge.

Step-by-step explanation:

Recall that x represents the time walked

When you see the first entry on the table as: x=0, that means Katy is about to start her walk, and the value to the right which represents her distance from the bridge is 300 meters. So as her walk started she was 300 meters from the bridge.

Now look at the last entry pair at the bottom of the table: the value in the "x" column (that represents the number of minutes she walked) reads: 6, and the value to the right (next column) reads 0 (0 meters from the bridge)

This is telling us that Katy was at the bridge after 6 minutes of walk. So answer D is the correct answer representing the given table of time and distance values.

3 0
3 years ago
How do you find a proportional relationship in a table?
jekas [21]

AnsweTo see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.r:

Step-by-step explanation:

6 0
3 years ago
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