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1 year ago

I need serious help guys!!!!!!

Mathematics

1 answer:

hammer [34]1 year ago

5 0

Answer:

Step-by-step explanation:

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The probability of event A is 0. 48, the probability of event A and B is 0. 21, and the probability of events A or B is 0. 89. W

Mice21 [21]

Probabilities are used to determine the chances of an event

The probability of event B is 0.62

The probabilities are given as:

$\mathbf{P(A) = 0.48}$

$\mathbf{P(A\ and\ B) = 0.21}$

$\mathbf{P(A\ or\ B) = 0.89}$

To calculate the probability of event B, we make use of the following formula

$\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}$

So, we have:

$\mathbf{0.21 = 0.48 + P(B) - 0.89}$

Collect like terms

$\mathbf{P(B)= -0.48 +0.21 + 0.89}$

$\mathbf{P(B)= 0.62}$

Hence, the probability of event B is 0.62

Read more about probabilities at:

brainly.com/question/11234923

7 0

2 years ago

Find all solutions of the equation in the interval [0,2π) sec(theta) +2=0

Komok [63]

I will first reveal the most obvious secret of trig: Most of the problems are 30/60/90 or 45/45/90 triangles of some sort.

$\sec \theta + 2 = 0$

$\dfrac{1 }{ \cos \theta} = -2$

$\cos \theta = - \frac 1 2$

The rule to remember is $\cos x = \cos a$ has solutions

$x = \pm a + 2 \pi k \quad$ integer $k$

Continuing where we left off, a cosine of -1/2 is a 30/60/90 triangle in the second or third quadrant; we pick second, and a little thought tells us the angle is $120^\circ$ .

$\cos \theta = - \frac 1 2$

$\cos \theta = \cos \frac {2\pi} 3$

$\theta = \pm \frac {2\pi} 3 + 2 \pi k \quad$ integer $k$

In the range we want, that's $k=0$ with the plus sign and $k=1$ with the minus, so

$\theta = \frac {2\pi} 3$ or $-\frac {2\pi} 3 + 2 \pi = \frac{4 \pi} 3$

$\theta = \frac {2\pi} 3$ or $\frac{4 \pi} 3$

6 0

2 years ago

Will mark brain list if answered correct) On this number line, zero represents sea level. Plot the following points based on the

Flauer [41]

Answer:

The points would be:

1.5

4.5

-2

-4

-2.5

-3.5

Step-by-step explanation:

8 0

1 year ago

A wise man once said 500 reduced by 4 times my age is 232. what is his age

11Alexandr11 [23.1K]

Well 500 reduced by 4 times my age is 232...
The first step to discover the age (I'll assume that's your question) is subtract 232 from 500 500-232 equals 268. Divide this by 4 to get 67. Boy, that's a pretty old age. Hope this helps!

3 0

2 years ago

The base of a rectangular solid is a square with a side of the length a cm. The height of the rectangular solid is b cm and its

Free_Kalibri [48]

The base has an area of $a^2$

So, the volume is $V=a^2b$

Solving for a, you get $a=\sqrt{\frac{V}{b}} =\frac{\sqrt{Vb}}{b}$

3 0

2 years ago