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3 years ago

the function g is a transformation of f if g has a y-intercept at -1 which of the following functions could represent g

Mathematics

1 answer:

garri49 [273]3 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

The function f has a y-intercept of -5. The function g's y-intercept of -1 is 4 units up from that, so one way to represent g is ...

g(x) = f(x) +4

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If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$

Now compute each combination separately:

$\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700$

and now replace the values:

$\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}$

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0

3 years ago

Account A: $300 monthly deposits, interest rate is 4.2%. Account B: $250 monthly deposits, interest rate is 5.1%. Which account

Elan Coil [88]

Answer:

Step-by-step explanation:

We have to determine the future value of the annuity to determine which account has a greater value

Future value = Amount x annuity factor

annuity factor = Annuity factor = {[(1+r)^n] - 1} / r

Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14

Account B = 250 x[ (1.051)^15 - 1 ] / 0.051 = $5435,42

Account A will be greater

4 0

2 years ago

The fitness club opens with 80 members each month the membership Increases by 15 members which equation represents the relations

creativ13 [48]

Answer:

y=15x+80

Step-by-step explanation:

where x is the monthly membership increase and y is the total amount of memberships

3 0

3 years ago

Divide 2/7÷1/3 what is the answer I need help please help me

d1i1m1o1n [39]

Answer: 0.85714285714

Step-by-step explanation:

I just googled it so yeah

7 0

3 years ago

Pls guys help me with this i will give u more points!

gtnhenbr [62]

$3x - 4y = - 6 \\ - 2x + y = 1$

<em>The Ordered pair of solution will be (x,y)=(2,3)</em>

$\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}$

<h3>Steps below⤵️</h3>

Solve the second equation for y
Substitute the given value of y into the first equation
Solve the first equation for x
Substitute the given value of x into the second equation
Solve the equation for y
The possible solution of the system is the ordered pair (x,y)
And we are done solving!!~

5 0

2 years ago