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4 years ago

Estimate the number of pints in 445 ounces

Mathematics

2 answers:

netineya [11]4 years ago

5 0

The exact answer is 27.813, but the estimated answer is 28.0 pints
I Hope This Helps! :)

Contact [7]4 years ago

3 0

Answer:

To find how many pints are in ounces multiply the ounce value by the conversion factor.

1 ounces = $\frac{1}{16}$ = 0.0625 pint

Given: 445 ounces

Convert 445 ounces into pints multiply 445 to 0.0625.

we have

$445 \times 0.0625 =27.8125$ pints

Therefore, the estimate number of pints in 445 ounces is, 28 pints

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Anni [7]

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4 years ago

RT has the endpoints (0, 2) and (4, 2). What is its midpoint?

Nimfa-mama [501]

R=(0,2), T=(4,2)
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v=(4-0,2-2)=(4,0)
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3 0

4 years ago

Read 2 more answers

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

17 randomly selected pens

This means that $n = 17$

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is $P(X \leq 2)$ when $p = 0.1$ . So

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

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

$P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167$

$P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315$

$P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762$

0.762 = 76.2% probability that this shipment is accepted

8 0

4 years ago

Find the sides of a triangle if two of its sides are equal, the third side is 1 1 3 cm longer than the others, and its perimeter

Helga [31]

Answer: $137\dfrac{1}{3}\ cm,\ 137\dfrac{1}{3}\ cm,\ 250\dfrac{1}{3}\ cm$

Step-by-step explanation:

Let x be the equal sides of the triangle .

The , the third side would be x+113 cm.

The perimeter is the sum of all sides of a triangle.

So , The perimeter of triangle would be x+x+(x+113)= 3x+113 --------(1)

Since , it is given that the perimeter of triangle is 525. -----(2)

So from (1) and (2) , we have

$3x+113=525\\\\ 3x=525-113=412\\\\ x=\dfrac{412}{3}=137\dfrac{1}{3}$

Then, third side = $137\dfrac{1}{3}+113=250\dfrac{1}{3}\ cm$

Hence , the sides of a triangle are: $137\dfrac{1}{3}\ cm,\ 137\dfrac{1}{3}\ cm,\ 250\dfrac{1}{3}\ cm$

7 0

4 years ago

What is the sum of the measures of the interior angles of a regular 72-gon?

JulsSmile [24]

Sum of all the interior angles of a n-gon = (n-2) x 180

Sum of all the interior angles of a 72-gon = (72-2) x 180 = 12600°

--------------------------------------------
Answer : 12600°
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3 0

4 years ago