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3 years ago

In triangle ABC shown below, side AB is 8 and side AC is 6:

Mathematics

2 answers:

ira [324]3 years ago

3 0

The answer is C because AD is half of AB and AE is half of AC.

Burka [1]3 years ago

3 0

Answer: The correct option is

(D) Segment AD is 4, and segment AE is 3.

Step-by-step explanation: In the given figure, we are shown a triangle ABC with side AB measures 8 units and AC measures 6 units.

We are to select the statement that is needed to prove that segment DE is half the length of segment BC.

Midpoint Theorem :

The line joining the mid points of any two sides of a triangle is parallel to the third side and is half of the third side.

In triangle ABC, applying the midpoint theorem,

for DE to be half of BC, D must be the midpoint of AB and E must be the midpoint of AC.

If so, then

$AD=\dfrac{1}{2}\times AB=\dfrac{1}{2}\times8=4,\\\\\\AE=\dfrac{1}{2}\times AC=\dfrac{1}{2}\times 6=3.$

Thus, for DE to be half of BC, segment AD is 4 and segment AE is 3.

Option (D) is CORRECT.

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An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

$P(X\leq 1) = P(X=0) + P(X =1)$

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

6 0

3 years ago

the product of two whole numbers is 36 . what is the greatest possible sum that the number can have?

ch4aika [34]

Whole numbers are positive numbers without decimals. First, list all the whole number factors of 36:

1 and 36

2 and 18

3 and 12

4 and 9

6 and 6

Next, see which one of those pairs has the highest sum:

1+36=37

2+18=20

3+12=15

4+9=13

6+6=12

The greatest possible sum the numbers can have is 37.

Hope this helps!!

3 0

2 years ago

Find the 92nd term of the arithmetic sequence 11, 19, 27, ...

arlik [135]

Answer:

The 92nd term of the arithmetic sequence is 731 because the common difference between them is 8 and then I added 8 with every single number that I got and I continued adding until I get my 92nd term which is 731.

6 0

3 years ago

Which option correctly represents the graph of f(x) = 1/3x^2+2 and describes

bagirrra123 [75]

The function is even

7 0

2 years ago

Recommendations

antoniya [11.8K]

There is 3.7 grams of sugar in each ounce of sugar Buzz.

Two variables are said to be proportional or have a proportional relationship when they have equivalent ratios. That is they increase or decrease by a factor.

Let x represent the size of Sugar Buzz soft drink and let y represent the amount of sugar.

y is proportional to x, hence:

y = kx; k is the constant of proportionality.\

When x = 12 ounce, y = 44.4 grams, hence:

12k=44.4

k = 3.7 gram per ounce

Therefore there is 3.7 grams of sugar in each ounce of sugar Buzz.

Find out more at: brainly.com/question/25049845

6 0

3 years ago