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3 years ago

What’s the measure of angle 6?

Mathematics

2 answers:

Firlakuza [10]3 years ago

4 0

Answer:

120

Step-by-step explanation:

iren [92.7K]3 years ago

3 0

Answer: The measure of angle 6 is 120°

Step-by-step explanation:

You might be interested in

Which numbers belongs in the box?

EleoNora [17]

Answer:

Step-by-step explanation:

$42 + 120 = 2 + 160$

3 0

3 years ago

Read 2 more answers

People who use aluminum siding are satisfied Therefore, if you don't use our aluminum siding, you won't be sati ud.

Eva8 [605]

Answer:

The conclusion is invalid.

The required diagram is shown below:

Step-by-step explanation:

Consider the provided statement.

People who use aluminum siding are satisfied Therefore, if you don't use our aluminum siding, you won't be satisfied.

From the above statement we can concluded that those use aluminum siding are definitely satisfied but it may be possible that some people don't use aluminum siding but they still satisfied.

Therefore, the conclusion is invalid.

The required diagram is shown below:

3 0

3 years ago

A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 student

Gwar [14]

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that $p = 0.25$

Class of 18 students

This means that $n = 18$

What would be the probability that at least 6 students drive themselves to school?

This is

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006$

$P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034$

$P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096$

$P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17$

$P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213$

$P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718$

$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282$

Closest option is B, just a small rounding difference.

4 0

3 years ago

Find the GCF of the given polynomial. 16a4b4 + 32a3b5 - 48a2b6

Anna11 [10]

16 $a^{4} b^{4} +32 a^{3} b^{5} -48 a^{2} b^{6}$
GCF=16 $a^{2} b^{4}$

6 0

3 years ago

Find the domain of the function algebraically q(r)=3square root r^2 -16

lawyer [7]

Hello :
q(r)=3√(r²-16)
q exist : r² - 16 ≥ 0
r² ≥ 16
√r² ≥ √16
but : √16 = 4 and √r² = |r |
|r | ≥ 4
r ≤ 4 or r ≥ 4
the domain is : ] -∞, 4] ∪ [,4 , + ∞ [

4 0

3 years ago