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Katarina [22]
1 year ago
5

If f(x) = 6x-11, what is f(-6)?​

Mathematics
1 answer:
In-s [12.5K]1 year ago
5 0

If f(x) = (6x-11), then f(-6) = -47.

We are provided in the question statement with a function "f(x)" whose output is a polynomial of 1 variable and degree 1.

To obtain the value of f(-6) from the output polynomial of the function f(x), we will simply need to substitute (-6) as the value of x in the polynomial and calculate the final value.

So,

f(-6)=[(6*(-6))-11]\\or, f(-6)=(-36-11)\\or, f(-6)=-(36+11)\\or, f(-6) =-47

Hence, f(-6) = -47.

  • Polynomial: In mathematics, an expression of more than two algebraic terms, especially the sum of several terms that contain the same variable(s) of different powers and individual, distinct co-efficients.
  • Function: In Mathematics, a function is an operator which on taking input, provides a certain output.

To learn more about Polynomials and Functions, click on the link below.

brainly.com/question/26910958

#SPJ9

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Exercise 1.A committee of five people is chosen randomly from four men and six women. Find the probability that:a) Exactly four
MatroZZZ [7]

Answer with explanation:

Given : Number of men = 4

Number of women = 6

Total people = 6+4=10

Total number of ways to make a committee of five people from 10 persons :-

^{10}C_{4}=\dfrac{10!}{4!(10-4)!}=210

a) Number of ways to make committee that has exactly four women :

^6C_4\times ^4C_1=\dfrac{6!}{4!(6-4)!}\times4=60

The  probability that committee has exactly four women :

\dfrac{60}{210}=\dfrac{2}{7}

b) Number of ways to make committee that has at-least four women :

^6C_4\times ^4C_1+^6C_5=\dfrac{6!}{4!(6-4)!}\times4+6=66

The probability that committee at-least four women :

\dfrac{66}{210}=\dfrac{22}{70}

c) Number of ways that committee has more than 4 women :-

^6C_5\times^4C_0=6

The probability that committee has more than 4 women :-

\dfrac{6}{210}

Now, the  probability that committee has at most four women :-

1-\dfrac{6}{210}=\dfrac{204}{210}=\dfrac{102}{105}

5 0
3 years ago
Simplify (-8pst + 3prq + 14) - (7prq - 20 - 2pst)​
Anna [14]

Answer:

-6pst -4prq+34

hope it will help you

7 0
2 years ago
The average adult has approximately 1.25 gallons of blood. Blood donors typically donate 1 pint of blood. How many donations wou
viktelen [127]
10 pints.
We know that there are 8 pints in a gallon. We have one gallon so we already have 8 pints.
Then there is a .25 gallon, this is equivalent to one-fourth of a gallon. So 1/4 times 8 is 2.
8 + 2 is 10 pints.
7 0
3 years ago
Read 2 more answers
Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the re
max2010maxim [7]

Answer:

country = 0.31

rock and roll =0.47

Blues = 0.22

Step-by-step explanation:

country = 11

Rock and roll= 17

blues = 8

Total = 36

the probabilities by dividing the frequencies by the total. ( round to the nearest hundredth.)

11/36 = country

17/36 = rock and roll

8/36 = blues

Divide

country = 0.31

rock and roll =0.47

Blues = 0.22

pls mark brainliest

8 0
3 years ago
Suppose a simple random sample of size nequals45 is obtained from a population with muequals64 and sigmaequals14. ​(a) What must
jeka94

Answer:

Step-by-step explanation:

Given that sample size = n=45

mu = 64 and sigma =14

a) Sample mean will follow a normal distribution irrespective of the original distributions provided

i) samples are randomly drawn

ii) samples represent the population

iii) Sample size is sufficiently large

b) Here we have sample std dev= \frac{\sigma}{\sqrt{n} } \\=\frac{14}{\sqrt{45} } \\=2.09

P(X bar>68.1) = P(Z>\frac{68.1-64}{2.09} \\=P(Z>1.96)\\=0.25

c) P(X bar>66.3) = P(Z>\frac{66.3-64}{2.09} \\=P(Z>1.10)\\=0.136

7 0
3 years ago
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