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3 years ago

Round to the nearest tenth if necessary.

Mathematics

1 answer:

Andrei [34K]3 years ago

4 0

Answer:

B) 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, -8)

Point (-4, -4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-4--1)^2+(-4--8)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-3)^2+(4)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{9+16}$
[√Radical] Add: $\displaystyle d = \sqrt{25}$
[√Radical] Evaluate: $\displaystyle d = 5$

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The variables y and x have a proportional relationship, and y = 5 when x = 4. What is the value of x when y = 8? Enter your answ

Charra [1.4K]

Answer

Find out the what is the value of x when y = 8 .

To prove

As given

The variables y and x have a proportional relationship.

$y \propto x$

y = kx

Where k is the constant of proportionality.

As y = 5 when x = 4

Put in the above

5 = 4k

$k = \frac{5}{4}$

Now find out the value of x , when y = 8

$8 = \frac{5\times x}{4}$

$x = \frac{8\times 4}{5}$

x= 6.5

Therefore when y = 8 than x = 6.4

7 0

3 years ago

Read 2 more answers

A Game of Thrones fan predicts there is a 70% chance that her favorite character will survive the next season and a 75% chance t

zepelin [54]

Answer:

The probability that the second favorite character will die given that the first favorite character dies is 0.53

This kind of probability is called conditional probability

Explanation:

Name the events and their probabiities:

Event A: her favorite character will survive, so P (A) = 0.70

Event B: her her second favorite character will die, so P(B) = 0.75

Both characters will die ⇒ P (B and not A) = 0.16

You want to find P (B | not A).

That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.

P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3

So, you have P(B), P(not A) and want to find P (B | not A)

The definition of conditional probability is:

P (X | Y) = P (X and Y) / P (Y)

So, replacing with our terms, we get:

P ( B | not A) = P (B and not A) / P (not A) = 0.16 / 0.3 ≈ 0.53

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3 years ago

Data collected at Toronto Pearson International Airport suggests that an exponential distribution with mean value 2725hours is a

Ivan

Answer:

a) What is the probability that the duration of a particular rainfall event at this location is at least 2 hours?

We want this probability"

$P(X >2) = 1-P(X\leq 2) = 1-(1- e^{-0.367 *2})=e^{-0.367 *2}= 0.48$

At most 3 hours?

$P(X \leq 3) = F(3) = 1-e^{-0.367*3}= 1-0.333 =0.667$

b) What is the probability that rainfall duration exceeds the mean value by more than 2 standard deviations?

$P(X > 2.725 + 2*5.540) = P(X>13.62) = 1-P(X$

What is the probability that it is less than the mean value by more than one standard deviation?

$P(X$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}$