The heaviest bell in the world is the tsar kolokol, cast in 1733 in moscow, U.S.S.R it weighs 196,000 kilograms.

If the probability of an event is what is the probability of the event not happening?20/69Write your answer as a simplified frac

Vilka [71]

If an event has a probability P of happening, then there is a probability of (1-P) of the event not happening.

In this case the probability of the event is p=20/69.

Then, the probability of the event not happening is:

$P(\text{not happening})=1-p=1-\frac{20}{69}=\frac{69-20}{69}=\frac{49}{69}$

Answer: the probability of the event not happening is 49/69.

6 0

8 months ago

Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a sta

jarptica [38.1K]

Answer:

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.64

P(X<x) = 0.64

$P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64$

Calculation the value from standard normal z table, we have, $p(z$

$\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8$

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

8 0

3 years ago

The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

Andru [333]

we can use formula

$\theta=tan^{-1}(\frac{a_y}{a_x})$

(a)

we are given

$a_x=12,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{12})$

$\theta=tan^{-1}(1)$

$\theta=\frac{\pi}{4}rad$

(b)

we are given

$a_x=20,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{20})$

$\theta=tan^{-1}(\frac{3}{5})$

$\theta=30.96^{\circ \:}$

(c)

we are given

$a_x=12,a_y=20$

now, we can plug values

$\theta=tan^{-1}(\frac{20}{12})$

$\theta=tan^{-1}(\frac{5}{3})$

$\theta=59.03^{\circ \:}$

6 0

2 years ago

7. The measures of the angles in a triangle are in the extended ratio of 3:4:5. Find the

Mashcka [7]

Answer:

Below.

Step-by-step explanation:

Angle 1 = (3/(3+4+5) * 180 = 3/12 * 180

= 45 degrees.

Angle 2 = 4/12 * 180 = 60 degrees.

Angle 3 = 5/12 * 180 = 75 degrees.

6 0

2 years ago

Give the line that is parallel to the line y=-5x-2 and goes through (3,-9)

igor_vitrenko [27]

Answer: I don’t think there is such a line. A Line that passes through the point (3,-9) must have a positive slope, unlike the line y=-5x-2, which has a negative slope. If a line where to go through (3,-9), is would intersect the line you presented.

3 0

2 years ago