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2 years ago

Probability is a measure of how likely an event is to occur. write the probability of the following statements:

Mathematics

1 answer:

attashe74 [19]2 years ago

7 0

Step-by-step explanation:

This is a probability related question, let the event be E

We know that the likelihood of an event happening is given as

Pr(E)=1

if an event will not occur the probability is

Pr(E)=0

a. This event is impossible: Pr(E)=0

b.This event will occur more often than not, but is not extremely likely:

Pr(E)=0<E>0.5

c.This event is extremely unlikely, but it will occur once in a while in a long sequence of trials:

Pr(E)=0<E<0.5

d.This event will occur for sure: Pr(E)=0

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How to round 65.85 to the nearest tenth

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Ok if the number behind the decimal is 4-0... round down, But if the number is 5-9 round up.

Example:65.85

The number behind the decimal is a 8.. So round this number up to the next availible whole number, which is 66.

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2 years ago

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Use the alternative form of the dot product to find u · v.

vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

$\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta$

$\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150$

$\overrightarrow{u}.\overrightarrow{v}= -1169.13$

(b) $\overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}$

$\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}$

$\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}$

$\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}$

Let the angle between them is θ

The formula in terms of the dot product is given by

$Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}$

$u=\sqrt{0.5^{2}+0.866^{2}}=1$

$v=\sqrt{-0.707^{2}+0.707^{2}}=1$

$Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}$

$Cos\theta=0.2587$

θ = 75°

$u=\sqrt{1^{2}+4^{2}+8^{2}}=9$

$Cos\alpha =\frac{1}{9}$

$Cos\beta =\frac{4}{9}$

$Cos\gamma =\frac{8}{9}$

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2 years ago

kaitlin is participating in a 5-day cross country biking challenge. She biked for 55,67,56,and 49 miles on the first four days.

SOVA2 [1]

The mean of a set of values is the sum of the data divided by the number of entries. So in this case:

$\frac{55+67+56+49+x}{5} =55$

Solve for x:

55 + 67 + 56 + 49 + x = 5(55)

227 + x = 275

x = 48

The answer is 48 miles.

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2 years ago

What is -6 3/4 and 27/5 and -5 5/8 as a decimal? Please help

7nadin3 [17]

The answer is, in order, -4.5, and -4.375

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