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Ilia_Sergeevich [38]
3 years ago
6

Which of the following sets of numbers could not represent the three sides of a triangle?

Mathematics
2 answers:
maw [93]3 years ago
7 0

Answer:

It would be {10, 16, 27}, {12, 27, 39}, {8, 22, 31} that DO NOT represent 3 sides of a triangle

Step-by-step explanation:

Since the only answer where the first 2 numbers is greater than the 3rd/last number is {14, 28, 39} (which makes it the only traingle), the others would ALL NOT be triangles.

earnstyle [38]3 years ago
4 0

Answer:

Options A, D

Step-by-step explanation:

The way that we will be checking if these 3 numbers can represent a triangle is by checking if a + b ≥ c.  That means that the first two sides have to be greater than or equal to the third side.

<u>Step 1:  Determine if Option A is a triangle</u>

10 + 16 = 26    <-    26 is less than 27 that means that it cannot form a triangle.

<u>Step 2:  Determine if Option B is a triangle</u>

14 + 28 = 42    <-    42 is greater than 39 which means that these three numbers can form a triangle.

<u>Step 3:  Determine if Option C is a triangle</u>

12 + 27 = 39    <-    39 is equal to 39 which means that these three numbers can form a right triangle.

<u>Step 4:  Determine if Option D is a triangle</u>

8 + 22 = 30    <-    30 is less than 31 meaning that these three numbers can't form a triangle.

Answer: Options A, D

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The output from a statistical computer program indicates that the mean and standard deviation of a data set consisting of 200 me
lesya [120]

Answer:

The limit that 97.5% of the data points will be above is $912.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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 problem, we have that:

\mu = 1500, \sigma = 300

Find the limit that 97.5% of the data points will be above.

This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.

So

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

-1.96 = \frac{X - 1500}{300}

X - 1500 = -1.96*300

X = 912

The limit that 97.5% of the data points will be above is $912.

6 0
3 years ago
Pls help I’m been stuck
ziro4ka [17]

Answer:

ANSWER: ADC=82

bda = 144

(7x+34)+(9x+46)=144

16x+80=144

16x=64

x=4

9(4)+46=82

adc=82

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
it costs $20 for 4 play tickets and $35 for 7 play tickets. Is cost per ticket constant? why or why not?
KonstantinChe [14]

Answer:

The cost per ticket is<u> constant</u>.

Step-by-step explanation:

Given:

It costs $20 for 4 play tickets and $35 for 7 play tickets.

Now, to get whether cost per ticket is constant or not.

So, if the cost per ticket is constant that means the cost of ticket for a play or more is fixed, non-varying and it does not change.

Now, we check it:

4 play tickets costs  = $20.

1 play tickets costs  = $20 ÷ 4 = $5.

So, 7 play tickets costs = $5 × 7 = $35.

Thus, the cost of ticket for play is not changing and it is constant.

So the cost per ticket is constant.

Therefore, the cost per ticket is constant.

4 0
3 years ago
Please answer this correctly
Aleks04 [339]

To get the volume, you need the area of the sides of the square.

The total surface area is 96, with 6 sides. To get the surface area of just one side, divide 96 by 6, which gets you 16. The surface area of a single square is 16. To get one side of the square, divide that by 4 because there are 4 sides.

Now, multiply 16 by 4 to get the volume.

The volume is 64 cubed milllimeters.

brainlieest?

Also i hope this helped

6 0
3 years ago
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 9 inches.
Debora [2.8K]
<span>You can get those ordered pairs subtracting 9-0.5, then that result minus 0.5 because from the rate the candle reduces its height 0.5inches per each hour.Part B: Is this relation a function? Yes, because each value of x has a single result or output in “y” (image)Part C: Yes, only difference is the time, the candle reduces its height 0.45 inches per each hour, examples of ordered pairs:  (0,9)  (1,8.55) (2,8.1)</span>
5 0
3 years ago
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