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2 years ago

How do you find the total sum of squared values?

Mathematics

1 answer:

tester [92]2 years ago

7 0

Answer:

Step-by-step explanation:

$\sum^{12}_{r=1} r^2 = \frac{12(12+1)(2*12+1)}{6}= A$

$\sum_{r=3}^{12}= \sum_{r=1}^{12} - (r_1+r_2)$

$r_1= 1^2$

$r_2= 2^2$

you do your math!!

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The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 9 in. and 12 in. long. What's the length

kow [346]

The length of he altitude to the hypotenuse is the square root of 108

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2 years ago

Suppose a family has three children of different ages. We assume that all combinations of boys and girls are equally likely. (a)

Ivan

Answer:

a) There are 8 possible combinations and each probability is 1/8.

b) The probability that it is a boy given that there are two girls is 3/8

Step-by-step explanation:

a) The sample space is given by:

BBB (3 boys)

BBG (Boy, boy, girl)

BGB (Boy, girl, boy)

BGG (Boy, girl, girl)

GBB (girl, boy, boy)

GBG (girl, boy, girl)

GGB (girl, girl, boy)

GGG (3 girls)

The probability of each combination is the same:

P(BBB)=P(B∩B∩B)= $\frac{1}{2} \frac{1}{2} \frac{1}{2}=\frac{1}{8}$

2) There are three possible combinations in which there are 2 girls and 1 boy:

BGG, GBG, GGB

So the probability is given by:

P(BGG ∪ GBG ∪ GGB)= $\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}+\frac{1}{2} \frac{1}{2} \frac{1}{2}=\frac{3}{8}$

6 0

2 years ago

Which theorem or postulate proves the two triangles are similar?

Andre45 [30]

Answer:

The corresponding pair of sides are in the same ratio.

Step-by-step explanation:

For two triangles to be similar, the theorem that is required is the corresponding sides of the two triangles are in the same ratio.

Now, see the diagram of two triangles given with the question.

The ratios of the corresponding sides are $\frac{20}{16} = \frac{19}{\frac{76}{5} } = \frac{5}{4}$

If two pairs corresponding sides are in 5 : 4 ratio, then the third pair of corresponding sides will also be in 5 : 4 ratio.

Therefore, the two triangles are similar. (Answer)

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3 years ago

The side lengths 4, 4, and 10 can form a triangle. True False

velikii [3]

Answer:

false

Step-by-step explanation: ...

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2 years ago

375,000 using scientific notation

MAVERICK [17]

3.75X10^5 Is the answer, check it in your calculator just to be sure!

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3 years ago