3 years ago

In the diagram, Line AC is a diameter of the circle with center O. If mACB = 50°, what is mBAC?

Mathematics

1 answer:

Nataliya [291]3 years ago

5 0

The answer is B im sorry if I am late

You might be interested in

For i≥1 , let Xi∼G1/2 be distributed Geometrically with parameter 1/2 . Define Yn=1n−−√∑i=1n(Xi−2) Approximate P(−1≤Yn≤2) with l

murzikaleks [220]

Answer:

The answer is "0.68".

Step-by-step explanation:

Given value:

$X_i \sim \frac{G_1}{2}$

$E(X_i)=2 \\$

$Var (X_i)= \frac{1- \frac{1}{2}}{(\frac{1}{2})^2}\\$

$= \frac{ \frac{2-1}{2}}{\frac{1}{4}}\\\\= \frac{ \frac{1}{2}}{\frac{1}{4}}\\\\= \frac{1}{2} \times \frac{4}{1}\\\\= \frac{4}{2}\\\\=2$

Now we calculate the $\bar X \sim N(2, \sqrt{\frac{2}{n}})\\$

$\to \frac{\bar X - 2}{\sqrt{\frac{2}{n}}} \sim N(0, 1)\\$

$\to \sum^n_{i=1} \frac{X_i - 2}{n} \times\sqrt{\frac{n}{2}}} \sim N(0, 1)\\\\\to \sum^n_{i=1} \frac{X_i - 2}{\sqrt{2n}} \sim N(0, 1)\\$

$\to Z_n = \frac{1}{\sqrt{n}} \sum^n_{i=1} (X_i -2) \sim N(0, 2)\\$

$\to P(-1 \leq X_n \leq 2) = P(Z_n \leq Z) -P(Z_n \leq -1) \\\\$

$= 0.92 -0.24\\\\= 0.68$

6 0

3 years ago

What’s the area of a square the side is 7x-3

Gnoma [55]

Area of a square = Side × Side

Side = 7x-3

Area of the square = (7x-3) × (7x-3)

= 7x(7x-3) -3(7x-3)

= 49x^2 -21x -21x +9

=49x^2 -42x +9

4 0

3 years ago

What is the square root of 164

mote1985 [20]

I believe it is 12.8.

4 0

4 years ago

Read 2 more answers

If cos theta is -5/13 and sin θ < 0, what is tan θ ?

tensa zangetsu [6.8K]

Take the right angled triangle with sides 13, 12 and 5. sine theta will be 12/13

When sin theta < 0 and cos theta < 0 we are in the third quadrant so sin theta will be -12/13

tan theta = sin theta / cos theta = -5/13 / -12/13 = -5*13 / -12*13 = 5/12

7 0

3 years ago

Select the two statements that are true about the equation y − 10 = 60(x − 40).

aivan3 [116]

Answer:

The answer for this question is B and C

6 0

2 years ago

Read 2 more answers