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3 years ago

A stack of 7 nickels is 13.65 mm high . What is the height of the stack to the nearest tenth of s millimeter ?

Mathematics

2 answers:

Lerok [7]3 years ago

7 0

Answer:

13.7 mm

Step-by-step explanation:

To round decimals to tenth we have to look the hundredth, is the hundredth is less than five we drop it and the tenth place does not change. because the hundredth is equal to 5, the tenth place is increased by one. so the stack is 13.7 mm high.

steposvetlana [31]3 years ago

3 0

The answer I got was 95.55mm

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A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x < 10 represent the situation

wlad13 [49]

Answer:

Option 4

Step-by-step explanation:

Let any two real number a and b (no matter +ve, -ve or 0). a ≥ b

The average of them will always lie in between them or be equal(if 0).

Let's prove : According to the statement,

a ≥ (a + b)/2 ≥ b

2a ≥ a + b ≥ 2b

2a ≥ a + b and a + b ≥ 2b

a ≥ b and a ≥ b, as we assumed.

Moreover, as the average exists in between a and b, we have the average (a + b)/2. Similarly, there exists one more average of (a + b)/2 and a or b, which definitely lie between a and b as (a + b)/2 lies there and smaller than a and b.

In the same order, we can have many average and the process would stop. This leads to infinite number between a and b.

Notice that we talked about all the numbers moreover there are many irrational(non-terminating like 9.898989.... etc numbers as well.

Option (4), infinite solutions.

Note: we solved for all the number (not specifically odd, even, natural, whole, integer, etc).

7 0

3 years ago

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th

IgorLugansk [536]

Answer:

a) 0.32 = 32% probability that your bid will be accepted

b) 0.72 = 72% probability that your bid will be accepted

c) An amount in excess of $15,400.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

This means that $a = 10400, b = 15400$

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

You will win if the competitor bids less than 12000. So

$P(X \leq 12000) = \frac{12000 - 10400}{15400 - 10400} = 0.32$

0.32 = 32% probability that your bid will be accepted

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

You will win if the competitor bids less than 14000. So

$P(X \leq 14000) = \frac{14000 - 10400}{15400 - 10400} = 0.72$

0.72 = 72% probability that your bid will be accepted

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

His bid is uniformly distributed between $10,400 and $15,400.

So, to maximize the probability that you get the property, you should bid an amount in excess of $15,400.

6 0

3 years ago

If the integral of f(x)dx = 2.3 from 1 to 3 and F'(x) = f(x), what is the value of F(3) - F(0). The graph will be inserted as a

lana66690 [7]

F(3)−F(0)=∫30f(x)dx
so it looks like 2.3+1=3.3

4 0

2 years ago

Read 2 more answers

If Jake buys 3 new shirts, how many of them would you expect to be t-shirts, and how many would you expect to be collared?

Sophie [7]

Answer:

2 t-shirts ; 1 collar shirt

Step-by-step explanation:

We need to first obtain the ratio of T - shirts to collar shirts :

T - shirts = 10

Collar shirts = 5

Ratio = T - shirts / Collar shirts = 10 / 5 = 2 /1 = 2:1

Hence, using the ratio obtained ; if Jake buys 3 new shirts :

Number of T-shirts :

(Ratio of t-shirts / total ratio) * new t-shirts

2/3 * 3 = 2 t-shirts

Collar shirts :

1/3 * 3 = 1

2 t-shirts ; 1 collar shirt

4 0

2 years ago

Together, Dante and Mia have a total of 350 pennies in their piggy banks. After Dante lost ½ of his pennies and Mia lost ⅓ of he

natta225 [31]

Answer:

Altogether they lost 150 pennies.

Step-by-step explanation:

X = Dante's pennies

Y = Mia's pennies

X + Y = 350 1/2 X = 2/3 Y

X = 4/3 Y

4/3 Y + Y = 350

7/3 Y = 350

Y = 350 * 3/7

Y = 50 * 3

Y = 150

X + 150 = 350

X = 200

1/2 * 200 = 2/3 * 150

100 . = 100

1/2 * 200 = 100 -> Dante lost 100 pennies

1/3 * 150 = 50 -> Mia lost 50 pennies

Altogether they lost 150 pennies.

3 0

3 years ago

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