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2 years ago

True or False

1 answer:

4 0

$a,b,c-lengths\ sides\ of\ a\ triangle,\ then:\\\\a+b > c\\a+c > b\\b+c > c\\\\if\ a\leq b\leq c\ then\ a+b > c\\--------------------------\\Here:\\a=5;\ b=6;\ c=8\\\\a+b=5+6=11 > 8\\\\Answer:TRUE$

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Solve for unknown: 45/15=R/9

lora16 [44]

$~~~~~~~\dfrac{45}{15} = \dfrac{R}9\\\\\\\implies \dfrac{R}9 = 3\\\\\\\implies R = 9 \times 3\\\\\\\implies R =27$

8 0

1 year ago

let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know t

AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 4 minutes

This means that $m = 4, \mu = \frac{1}{4} = 0.25$

Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

4 0

2 years ago

Three people divide up a large pizza. If the first person gets half and the second person gets half as much as the first person

Eduardwww [97]

So, if the first person takes half of the pizza, half of the pizza is left.
If the second person takes half of the amount the first person took, that would be a quarter of the pizza left.

TL;DR - There is 1/4 of the pizza left

7 0

2 years ago

Is parallelogram a rectangle

denis-greek [22]

Answer:

Sometimes, but not always.

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides, but there are no requirements for its interior angles. A rectangle, on the other hand, <em>must</em> have four interior 90 degree angles. So a rectangle is always a parallelogram, but a parallelogram is not always a rectangle.

4 0

3 years ago

Read 2 more answers

Question 1<br> If f(x) = (x-1), what is f(-4.2)?

lana66690 [7]

Answer:

-5.2

Step-by-step explanation:

4 0

2 years ago