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4 years ago

Round to the nearest ten-thousandths place. 74.12365 = _____

Mathematics

2 answers:

Bas_tet [7]4 years ago

7 0

Answer:

74.1237

Step-by-step explanation:

74.12365 rounds to 74.1237

wariber [46]4 years ago

4 0

Answer:

74.1237

Step-by-step explanation:

If the number after the target of the round is greater or equal to 5, you round up.

74.12365 => 74.1237

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Students sold raffle tickets to raise money for a field trip. The first 20 tickets sold cost $4 each. To sell more tickets, they

frosja888 [35]

They got $80 from the first twenty tickets. Then they got $136 from the other tickets. 136/2=68. 20+68=88 They sold 88 raffle tickets.

6 0

4 years ago

Read 2 more answers

6 9/10 x 20/21<br> Simplify your answer completely and change to a mixed number.

Sidana [21]

Answer:

$6\frac{4}{7}$

Step-by-step explanation:

Hello,

I am going to start with to change to a improper fraction:

1. I will convert 6 and 9/10 into a improper fraction:

$69/10$

2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.

$69 * 20 / 21 * 10 = 1380/210$

3. Now I can simplify this value and convert it into a mixed fraction

$46/7$

After further simplifying I can convert this into an mixed number

$6\frac{4}{7}$

5 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

3 0

3 years ago

Read 2 more answers

Classify each sequence as arithmetic, geometric or neither

Karolina [17]

Answer:

Geometric sequence = ⁵/9, ⁵/3, 5, 15, 45. . .

Arithmetic sequence = 16, 11, 6, 1, -4 . . .

Step-by-step explanation:

A geometric sequence is a sequence of numbers, in which every number in the sequence after the first term is multiplied by a common ratio, which gives us the next term. The common ratio is the ratio of a term to the term before it.

On the other hand, an arithmetic sequence is a sequence of number have a common difference between each consecutive terms. This common difference is gotten by subtracting a term from the term before it.

Now let's examine each sequence given:

==>16, 11, 6, 1, -4 . . .

11 - 16 = -5

6 - 11 = -5

1 - 6 = -5

-4 - 1 = -5

This is an arithmetic sequence. The commons difference "-5" is the same

==>⁵/9, ⁵/3, 5, 15, 45. . .

⁵/3 ÷ ⁵/9 = ⁵/3 × ⁹/5 = ⁹/3 = 3

5 ÷ ⁵/3 = ⁵ × ⅗ = 3

15 ÷ 5 = 3

45 ÷ 15 = 3

The common ratio "3" is the same. This is a geometric sequence.

3 0

3 years ago

Plz help!!

garri49 [273]

Answer:

150 ft^3

.1 ton or 200 lbs

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 5*5*6

V = 150 ft^3

To find how much 1 ft^3 weighed take the weight and divide by the volume

15 tons / 150 ft^3

.1 ton / 1 ft^3

1 ft^3 weights .1 ton

We know that 1 ton = 2000 pounds

.1 ton = 200 pounds

4 0

4 years ago

Read 2 more answers