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3 years ago

Combine like terms: A. 7a + 7b - 13a - 11b B. -5a - 12a + 2b - 3b Explain

Mathematics

1 answer:

valkas [14]3 years ago

6 0

A. 7a i have done this before

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At Sanger’s auto garage, three out of every five cars brought in for service need an oil change. Of the cars that need an oil ch

Alina [70]

Answer:

The probability that a car that comes into the garage needs both an oil change and a tire rotation is $\frac{12}{35}$ .

Step-by-step explanation:

The conditional probability of an event B given that another event A has already occurred is:

$P(B|A)=\frac{P(A\cap B)}{P(A)}$

Denote the events as follows:

X = cars brought in for service need an oil change

Y = cars brought in for service need a tire rotation

The information provided is:

$P(X)=\frac{3}{5}$

$P(Y|X)=\frac{4}{7}$

Compute the value of P (X ∩ Y) as follows:

$P(Y|X)=\frac{P(X\cap Y)}{P(X)}$

$\frac{4}{7}=\frac{P(X\cap Y)}{3/5}$

$P(X\cap Y)=\frac{4}{7}\times \frac{3}{5}$

$=\frac{12}{35}$

Thus, the probability that a car that comes into the garage needs both an oil change and a tire rotation is $\frac{12}{35}$ .

8 0

3 years ago

Read 2 more answers

Find the probability of rolling a 66 -sided dice and getting a number that is a divisor of 2020

boyakko [2]

Answer:

2/3 or 0.66 repeated

Step-by-step explanation:

Since 2022 is only divisible by 1,2,4, and 5, the probability of getting a number that is a divisor of 2020 is 4/6, simplified to 2/3 or %0.66.

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2 years ago

Translate the phrase into an expression with integers: negative 13. Do not simplify your expression.

Genrish500 [490]

Answer:

-13

Step-by-step explanation:

negative 13 = -13

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2 years ago

Solve the integral I've come across some difficulties with this one..

disa [49]

Multiply the integrand's numerator and denominator by $1-\sin x$ , then simplify:

$\displaystyle\int\frac{\mathrm dx}{1+\sin x}=\int\frac{1-\sin x}{1-\sin^2x}\,\mathrm dx=\int\frac{1-\sin x}{\cos^2x}\,\mathrm dx=\int(\sec^2x-\sec x\tan x)\,\mathrm dx$

You should be familiar with

$\dfrac{\mathrm d}{\mathrm dx}\tan x=\sec^2x$

$\dfrac{\mathrm d}{\mathrm dx}\sec x=\sec x\tan x$

so that

$\displaystyle\int\frac{\mathrm dx}{1+\sin x}=\tan x-\sec x+C$

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3 years ago

Pleasee helpp againnnn loo

densk [106]

The second answer 5(2,5d)

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3 years ago