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Maksim231197 [3]

3 years ago

9

Joseph wants to estimate 1 3/7 . 5 4/5 To estimate, he simplifies the expression 1 1/2 . 6 Is Joseph’s estimate an underestimate

or an overestimate? A. underestimate B. overestimate

1 answer:

Zolol [24]3 years ago

7 0

Well if her simplifies 1 3/7 to 1 1/2 and 5 4/5 to 6 then he would be overestimating because 1 1/2 is greater than 1 3/7 and 6 is greater than 5 4/5

Hope this helps!

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A serving of filet mignon is generally considered to be about 1/4

dybincka [34]

If 1 serving = 1/4 pound, then 4 servings = 1 pound. 6 pounds *4=24 servings. That leaves 1/3 of a pound. 1/4 pound is less than 1/3 pound, so you get one more serving.

That makes 25 servings, and 1/12 of a pound left over.

How do you know it is 1/12? Well, LCD (lowest common denominator) shows that 1/3-1/4= 4/12-3/12=1/12.

3 0

4 years ago

Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and

motikmotik

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

XY = n + 4

YZ = 2n

ZX = n - 2

According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3

YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2

ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3

It is provided that <em>n</em> ≥ 5.

Then the sides of the triangle are:

XY = n + 4 ≥ 5 + 4 = 9

YZ = 2n ≥ 2 × 5 = 10

ZX = n - 2 ≥ 5 - 2 = 3

So, the longest side of the triangle is YZ. And the shortest side is ZX.

The largest angle of a triangle is opposite to the longest side.

The angle opposite to YZ would be X. So, the largest angle is ∠X.

The smallest angle of a triangle is opposite to the shortest side.

The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.

Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

6 0

3 years ago

A train travels 250 miles at a constant speed (x), in miles per hour.Enter an equation that can be used to find the speed of the

Nastasia [14]

The first thing we must do for this case is to take into account the following variable:
x = speed in miles per hour
Then, by definition we have to:
d = v * t
Where,
d: distance
v: speed
t: time
Substituting values:
250 = x * 5
Answer:
An equation that can be used to find the speed of the train is:
250 = x * 5

6 0

3 years ago

The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is about 66 mm ("Annual maximums of,"

svetlana [45]

Answer:

At least 202.44 mm in the top 15%.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 134, \sigma = 66$

How many yearly mm of rainfall would there be in the top 15%?

At least X mm.

X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

$Z = \frac{X - \mu}{\sigma}$

$1.037 = \frac{X - 134}{66}$

$X - 134 = 66*1.037$

$X = 202.44$

At least 202.44 mm in the top 15%.

5 0

3 years ago

On the first day of winter, the temperature in Cassville was – 3°F. That same day, the temperature in Shorewood was – 11°F

just olya [345]

Answer:

Step-by-step explanation:

___________________________________________________________

-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0

Okay so on this number line that I made you see -3 degrees F and -11 degrees F. All you have to do is count, start at -3 and count the numbers until you get -11 so the answer would be -8 degrees F because it takes 8 units to get to 7 on the negative number line.

3 0

3 years ago