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1 year ago

Which statement BEST describes the graph of f(x - 6)?

Mathematics

1 answer:

Alex1 year ago

6 0

Answer:

B. f(x) is shifted left by 6 units

Step-by-step explanation:

when we talk about translations, we know they happen along the X axis, y axis or sometimes both, in this case we see that were subtracting x by six units, so we are moving left along the x axis

ways to remember this is:

-you count up x the RIGHT way going right

-you count UP y

and of cource by process of ellimination we know that decreasing X goes left and decreasing y goes down

ALSO NOTE: x always goes horizontally and y always goes vertically

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Libby wants to buy 290 raspberry yogurts. They are sold in packs of 4. How many packs does she need to buy?

oksano4ka [1.4K]

Answer:

73 packs

Step-by-step explanation:

Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.

290/4

= 72.5

Since we need a whole number answer, round this up:

72.5

= 73

So, Libby will need to buy 73 packs

3 0

2 years ago

There are 212.5 grams of sugar in a 2-liter bottle of soda. How much sugar is there in 4.5 bottles? please HELP ME

drek231 [11]

956.25 is the answer

Because 1 bottle is 212.5 grams of sugar you can just multiply that by 4.5 because there are 4 bottles and a half of a bottle

3 0

2 years ago

12- Find the percent of change: 56 increased to 88

Scorpion4ik [409]

Number 1 is 32 and the second one is 85

8 0

3 years ago

Evaluate 12 ÷ (-3)(2) + 5<br><br> -13<br> 3<br> -3

Alex_Xolod [135]

The answer is 3 because -3 times 2 is -6 , than 12 divided by -6 is -2 , than -2 plus 5 is 3 .

6 0

2 years ago

A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters

natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that $p = 0.7$

20 eligible voters were randomly selected from the population of all eligible voters.

This means that $n = 20$

What is the probability that fewer than 11 of them will vote?

This is:

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308$

$P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120$

$P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039$

$P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010$

$P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002$

$P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0$

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479$

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0

2 years ago