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zepelin [54]
2 years ago
6

When f(a) = 227 + 32 - 3, evaluate f( - 1) helpp

Mathematics
1 answer:
Hoochie [10]2 years ago
7 0

Step-by-step explanation:

f(x) = 2 {x}^{2}  + 3x - 3

f( - 1) = 2. {( - 1)}^{2}  + 3.( - 1) - 3

f( - 1) = 2 - 3 - 3

f( - 1) =  - 4

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The tallest man ever recorded was Robert Wadlow, who was 272 cm tall. The tallest woman on record was Zeng Jinlian. Her height w
Zanzabum
Hello! 

Here we just need to find .91 of 272cm to find her height,

so we take .91percent * 272cm= 247.52 rounded to nearest cm is 248cm tall

hope this helps. any questions please ask! thank you!
3 0
3 years ago
Read 2 more answers
I need help on 1, 2, an 3
e-lub [12.9K]

Answer: 1. A) 2/5 B) X= -5 Y= 2

2. A) -3/2 B) X= 2 Y= 3

3. A) -2/3 B) X= -3 Y= -2

Step-by-step explanation: A) Look where the line intersects perfectly through a corner of one of the boxes, find the next one closes to that count how many it goes up and how many across. Rise/Run so the amount it goes up goes on the top of the fraction and the amount across on the bottom of the fraction.

B) This is where the line intersects the X and Y axis

5 0
3 years ago
A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 80 square feet. Find the
ki77a [65]
The length and width of the rectangle would be 20*4 or 10*8. hope that helped
8 0
4 years ago
Rachel has a collection of 40 stuffed animals. 3/8 of the animals are bears and are dogs. How many bears and dogs does she have?
Ludmilka [50]

Answer:

total animal 40

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Step-by-step explanation:

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5 0
4 years ago
Brown Law Firm collected data on the transportation choices of its employees for their morning commute. The table shows the perc
yanalaym [24]

The two events out of the listed events which are independent events are given by: Option A: A and C

<h3>What is chain rule in probability?</h3>

For two events A and B, by chain rule, we have:

P(A \cap B) = P(B)P(A|B) = P(A)P(A|B)

<h3>What is law of total probability?</h3>

Suppose that the sample space is divided in n mutual exclusive and exhaustive events tagged as

B_i \: ; i \in \{1,2,3.., n\}

Then, suppose there is event A in sample space.

Then probability of A's occurrence can be given as

P(A) = \sum_{i=1}^n P(A \cap B_i)

Using the chain rule, we get

P(A) = \sum_{i=1}^n P(A \cap B_i) = \sum_{i=1}^n P(A)P(B_i|A) = \sum_{i=1}^nP(B_i)P(A|B_i)

<h3>How to form two-way table?</h3>

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n values of Y are there as Y_1, Y_2, ..., Y_krows and left to the columns. There will be n \times kvalues will be formed(excluding titles and totals), such that:

Value(i^{th} row, j^{th} column) = Frequency for intersection of X_i and Y_jvalues are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

<h3>How to calculate the probability of an event?</h3>

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

<h3>How to find if two events are independent?</h3>

Suppose that two events are denoted by A and B.

They are said to be independent event if and only if:

P(A \cap B) = P(A)P(B)

The given frequency table is:

\begin{array}{ccccc} &\text{Public}&\text{Own}&\text{Others}&\text{Total}\\\text{Male}&12&20&4&36\\\text{Female}&8&10&6&24\\\text{Total}&20&30&10&60\end{array}

The probability table for the same labels would be:

\begin{array}{ccccc} &\text{Public}&\text{Own}&\text{Others}&\text{Total}\\\text{Male}&12/60&20/60&4/60&36/60\\\text{Female}&8/60&10/60&6/60&24/60\\\text{Total}&20/60&30/60&10/60&1\end{array}

The events A, B,C,D and E are given as:

  • A: The employee is male.
  • B: The employee is female.
  • C: The employee takes public transportation.
  • D: The employee takes his/her own transportation.
  • E: The employee takes some other method of transportation.

Checking all the listed options one by one, for them being independent:

  • Case 1: A and C

P(A) = P(The employee is male. ) = 36/60

P(C) = P(The employee takes public transportation.) = 20/60P(A \cap C) = 12/60 \\\\ P(A)P(C) = \dfrac{36 \times 20}{60^2} = 12/60

P(A \cap C) = P(A)P(C)

Thus, A and C are independent events.

  • Case 2: A and D

P(A) = P(The employee is male. ) = 36/60

P(D) = P(The employee takes his/her own transportation.) = 30/60

P(A\cap D) = 20/60\\\\P(A)P(D) = \dfrac{30 \times 36}{60^2} = 12/60 \neq P(A \cap D)

Thus, A and D are not independent events.

  • Case 3: B and D

P(B) = P(The employee is female. ) = 24/60

P(D) = P(The employee takes his/her own transportation.) = 30/60

P(B \cap D) = 10/60 \neq P(B)P(D)=\dfrac{24 \times 30}{60^2} = 12/60

Thus, B and D are not independent events.

  • Case 4: B and E

P(B) = P(The employee is female. ) = 24/60

P(E) = P(The employee takes some other method of transportation.) = 10/60

P(B \cap E) = 6/60 \neq P(B)P(E)= \dfrac{24 \times 10}{60^2} = 4/60

Thus, B and E are not independent events.

Thus, the two events out of the listed events which are independent events are given by: Option A: A and C

Learn more about independent events here:

brainly.com/question/3898488

5 0
2 years ago
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