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mina [271]
3 years ago
7

Determine whether each of the following triangles is a right-angled triangle

Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

To determine if this is a right triangle, use the pythagorean theorem and see if a^2 + b^2 is equal to c^2.

a^2 + b^2 = c^2

12^2 + 16^2 = 20^2

Evaluate the exponents.

144 + 256 = 400

Add them together.

400 = 400

Since a^2 and b^2 add up to equal c^2, this is a right triangle.

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Could someone please help me with this question
defon

Answer:

Proportional: second and third, non-proportional: first and fourth

Step-by-step explanation:

Proportional relationships are linear functions that pass through the origin. Using this definition, we can conclude that the proportional relationships are the second and third options whereas the non-proportional relationships are the first and fourth options.

3 0
3 years ago
Read 2 more answers
Suppose you buy a CD for $300 that earns 3% APR and is compounded quarterly. The CD matures in 3 years. How much will this CD be
andrew-mc [135]

Given: Principal Amount (P) = $300

The rate of interest (r) = (3/4) compounded quarterly.

No. quarters in 3 years (n) = 3×4 = 12

To find: The amount for the CD on maturity. Let it will be (A)

Formula: Compound Amount (A) = P [ 1 + (r ÷100)]ⁿ

Now,   (A) = P [ 1 + (r ÷100)]ⁿ

or,            = $300 [ 1 + (3 ÷400)]¹²

or,            = $300 × [ 403 ÷ 400]¹²

or,            = $300 × 1.0938069

or,            = $ 328.14

Hence, the correct option will be C. $328.14

7 0
3 years ago
Read 2 more answers
Please Help Will GIve Brainlest! Locks in 1 Hour!
denis-greek [22]

Answer:

-3.274

Step-by-step explanation:

attached

Hopes this helps

{please mark me brainiest}

5 0
2 years ago
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute
hoa [83]

Answer:

Obese people

Lower = \mu - 2\sigma = 373- 2(67) = 239

Upper = \mu + 2\sigma = 373+ 2(67) = 507

Lean People

Lower = \mu - 2\sigma = 526- 2(107) = 312

Upper = \mu + 2\sigma = 526+ 2(107) = 740

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, "almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ)".

Solution to the problem

Obese people

Let X the random variable that represent the minutes of a population (obese people), and for this case we know the distribution for X is given by:

X \sim N(373,67)  

Where \mu=373 and \sigma=67

On this case we know that 95% of the data values are within two deviation from the mean using the 68-95-99.7 rule so then we can find the limits liek this:

Lower = \mu - 2\sigma = 373- 2(67) = 239

Upper = \mu + 2\sigma = 373+ 2(67) = 507

Lean People

Let X the random variable that represent the minutes of a population (lean people), and for this case we know the distribution for X is given by:

X \sim N(526,107)  

Where \mu=526 and \sigma=107

On this case we know that 95% of the data values are within two deviation from the mean using the 68-95-99.7 rule so then we can find the limits liek this:

Lower = \mu - 2\sigma = 526- 2(107) = 312

Upper = \mu + 2\sigma = 526+ 2(107) = 740

The interval for the lean people is significantly higher than the interval for the obese people.

5 0
3 years ago
HELP ME ASAP<br> 20 points !!!
Molodets [167]
Mode means ‘most often number’ .

The most often numbers are:
20 and 16

Reason:
20 is shown 3 times.
16 is shown 3 times.
19 is shown 2 times.
18 is shown once.

So, the two most occurring/often numbers are 20 and 16.

Give this answer Brainliest!
3 0
1 year ago
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