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NISA [10]
3 years ago
12

If 4 boxes of apples weigh 75.6 lb, how much do 8.5 boxes of apples weigh?

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

Answer:

160.65 lbs.

Step-by-step explanation:

In order to answer this question, we can find the unit weight of each box. In order to do that, we have to divide the amount of weight of the 4 boxes by 4:

75.6 / 4 = 18.9

So, each box of apples weighs 18.9 lbs. Now, we can multiply this unit weight by 8.5 to get the answer:

18.9 * 8.5 = 160.65

And your answer is 160.65 lbs.

Hope this helps ! :)

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Marat540 [252]
1/5 goes into 37 185 times:

37 / (1/5) = 37*(5/1)=185
3 0
3 years ago
The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 247.9 and a standard deviation of
labwork [276]

Answer:

A) Approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) approximate percentage of women with platelet counts between 53.8 and 442.0 = 99.7%

Step-by-step explanation:

We are given;

mean;μ = 247.9

standard deviation;σ = 64.7

A) We want to find the approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3.

Now, from the image attached, we can see that from the empirical curve, the probability of 1 standard deviation from the mean is (34% + 34%) = 68 %.

While probability of 2 standard deviations from the mean is (13.5% + 34% + 34% + 13.5%) = 95%

Thus, approximate percentage of women with platelet counts within 2 standard deviations of the​ mean, or between 118.5 and 377.3 = 95%

B) Now, we want to find the approximate percentage of women with platelet counts between 53.8 and 442.0.

53.8 and 442.0 represents 3 standard deviations from the mean.

Let's confirm that.

Since mean;μ = 247.9

standard deviation;σ = 64.7 ;

μ = 247.9

σ = 64.7

μ + 3σ = 247.9 + 3(64.7) = 442

Also;

μ - 3σ = 247.9 - 3(64.7) = 53.8

Again from the empirical curve attached, we cans that at 3 standard deviations from the mean, we have a percentage probability of;

(2.35% + 13.5% + 34% + 34% + 13.5% + 2.35%) = 99.7%

5 0
2 years ago
In the diagram below, determine the value of $x$: [asy] size(6.5cm); pair cis(real magni, real argu) { return (magni*cos(argu*pi
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Answer:

55 degrees

I answered the question on AoPS and it said it was correct.

6 0
3 years ago
Determine the length of the leg of a 45o – 45o – 90o triangle with a hypotenuse length of 15 inches. ( ANSWER NEEDS TO BE IN RED
SIZIF [17.4K]

Answer:

The lenghts of both legs: \frac{15\sqrt{2}}{2}\ inches

Step-by-step explanation:

By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.

Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of  any leg of the given triangle by applying the Trigonometric Identity sin\alpha=\frac{opposite}{hypotenuse}:

sin(45\°)=\frac{leg}{15}\\\\leg=\frac{15}{\sqrt{2}}

Finally, simplifying, we get:

leg=\frac{15(\sqrt{2})}{(\sqrt{2})(\sqrt{2})}=\frac{15\sqrt{2}}{2}

3 0
2 years ago
Anyone that can help with these questions is greatly appreciated <br> Thank you
svlad2 [7]
#3 describes an isosceles triangle.

#5 describes an equilateral triangle.

#7 describes a right triangle.
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