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gayaneshka [121]
2 years ago
13

Finding Angles (Level 1) PLEASE full explanation :))

Mathematics
1 answer:
grandymaker [24]2 years ago
3 0

Answer:

  • 59°

Step-by-step explanation:

A and B are complementary angles since C is right angle.

  • m∠A + m∠B = 90°
  • 31° + m∠B = 90°
  • m∠B = 90° - 31°
  • m∠B = 59°
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One sample has Aa Aa One sample has n 10 scores and a variance of s2 20, and a second sample has n 15 scores and a variance of s
siniylev [52]

Answer:

option (a) It will be closer to 30 than to 20

Step-by-step explanation:

Data provided in the question:

For sample 1:

n₁ = 10

variance, s₁² = 20

For sample 2:

n₂ = 15

variance, s₂² = 30

Now,

The pooled variance is calculated using the formula,

S^{2}_{p} = \frac{(n_{1}-1)\times s^{2}_{1} +(n_{2}-1)\times s^{2}_{2}}{n_{1}+n_{2}-2}

on substituting the given respective values, we get

S^{2}_{p} = \frac{(10-1)\times 20 +(15-1)\times 30}{10+15-2}

or

S^{2}_{p} = 26.0869

Hence,

the pooled variance will be closer to 30 than to 20

Therefore,

The correct answer is option (a) It will be closer to 30 than to 20

4 0
3 years ago
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world
rusak2 [61]

Answer:

\huge\boxed{3a^2(a^3-6a+2)}

Step-by-step explanation:

\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
5 0
2 years ago
Let FS R be a finite set. (a) Prove that F is closed (b) Prove that every point in F is an isolated point.
Lorico [155]

Answer:

a) Suppose that F is ordered in ascending order: F = \{x_1,\ldots, x_n\}. Then, the complement of F can be written as

F^c = (-\infty,x_1)\cup (x_1,x_2)\cup (x_2,x_3)\cup \cdots \cup (x_{n-1}, x_{n})\cup (x_n,+\infty)

which is the union of a finite number of open intervals, then F^c is an open set. Thus, F is a closed subset of the real numbers.

b) Take an arbitrary element of F, let us say x_k. Now, choose a real number \epsilon such that

0 there are not other element of F, because \epsilon is less that the minimum distance between x_k and its neighbors.

In case that k=1 we only consider 0, and if k=n we only consider 0.

Then, all points of F are isolated.

Step-by-step explanation:

8 0
3 years ago
Please provide a answer
Schach [20]

Answer:

uhh, look it up

Step-by-step explanation:

8 0
3 years ago
Point A is the midpoint of side XZ and point B is the
Ludmilka [50]

Answer:

4 units

Step-by-step explanation:

just took a quiz and got it right

6 0
3 years ago
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