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faust18 [17]
1 year ago
12

which of the diagram below represents the contrapositive of the statement if it is an equilateral triangle,then it is an isoscel

es
Mathematics
1 answer:
GalinKa [24]1 year ago
4 0

Answer:Contrapositive of a Statement , if A then B, states that, if not B ,then not A.

In the statement given:

A= A triangle is Equilateral

B=then the triangle is Isosceles.

So,→→Contrapositive of the statement, If A, then B will be ,not B,then Not A

Not B= The triangle is not Isosceles

Then ,Not A= the triangle is not equilateral.

→→Figure A, matches with "Contrapositive of the statement “if it is an equilateral triangle, then it is an isosceles triangle”

=

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A newly drilled water well produces 50,000 quarts of water per week. With no new water feeding the well, the production drops by
Sveta_85 [38]

Answer:

Total amount of water = 5,200,000

Step-by-step explanation:

Given:

water produced = 50,000 quarts of water per week

Production drop = 5% = 0.05 per year

Number of week in year = 52 week

Find:

Total amount of water

Computation:

Sum = a / r

a = 50,000 x 52

a = 2,600,000

Sum = a / [1-r]

Sum = 2,600,000 / 5%

Sum = 2,600,000 / 0.05

Total amount of water = 5,200,000

5 0
1 year ago
Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x
Blababa [14]

I am not sure but I think it represent the middle coordinate

4 0
1 year ago
The random variable Y is normally distributed with a mean of 470, and the value Y=340 is at the 15th percentile of the distribut
adell [148]
The empirical rule says that about 68% of any normal distribution lies within one standard deviation of the mean. This leaves 32% of the distribution that lies outside this range, with about 16% to either side.

At the 16th percentile, there is a value of Y=y such that

\mathbb P(Y

where \sigma is the standard deviation for the distribution, and Z is the random variable corresponding to the standard normal distribution. This value of y would correspond roughly to a z-score of Z=-1.

You're told that Y=340 lies at the 15th percentile, so that

\mathbb P(Y

Roughly, then, it'd be fair to say that y\approx340. So you have

\dfrac{340-470}\sigma\approx-1\implies\sigma\approx130

which falls between (A) and (B). To narrow down the choice, notice that y would have be slightly larger than 340 in order to have \mathbb P(Y. This brings y closer to the mean, and thus suggests the standard deviation for the distribution is actually smaller than our approximation.

This tells us that (A) is the answer.
4 0
1 year ago
The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?
PolarNik [594]

Answer:

31

Step-by-step explanation:

Let the numbers be x and y.

"The sum of two numbers is 43." gives us the first equation.

x + y = 43

"One number is five less than three times the other number." gives us the second equation.

y = 3x - 5

Now we solve the system of two equations below.

x + y = 43

y = 3x - 5

Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.

x + y = 43

x + 3x - 5 = 43

4x - 5 = 43

4x = 48

x = 12

The first number is 12. Now we find the second number.

x + y = 43

12 + y = 43

y = 31

The larger number is 31.

4 0
2 years ago
Read 2 more answers
Consider the function below. f(x) = ln(x4 + 27) (a) Find the interval of increase. (Enter your answer using interval notation.)
andrezito [222]

Answer:

a) The function is constantly increasing and is never decreasing

b) There is no local maximum or local minimum.

Step-by-step explanation:

To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.

f(x) = ln(x^4 + 27)

f'(x) = 1/(x^2 + 27)

Now we take the derivative and solve for zero to find the local max and mins.

f'(x) = 1/(x^2 + 27)

0 = 1/(x^2 + 27)

Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.

6 0
2 years ago
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