MATHEMATICS HIGH SCHOOL

PRECALC HELP
please help with the image above (translation up and down)

Answers

Answer 1

Answer:

Answer:

fourth option

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Thus

f(x) = (x - 11)³ ← has been translated right by 11 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus

f(x) = (x - 11)³ + 4

represents a translation 11 units right and 4 units up

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On Friday, a local restaurant served 150 customers. Of these, 114people ordered soup. What percent of the customers ordered soup?

A: 13%

B: 66%

C: 34%

D: 76%

Answers

The answer is D, because we will divide 114 by 150 and the total converted to percentage is 76

Event B is dependent on event A, and event A occurs before event B. Which formula can be used to find the probability of event A?a. P(A and B)
P(B)

b. P(A and B)
P(B|A)

c. P(A and B)
P(A|B)

d. P(A and B) × P(B|A)
e. P(A and B) × P(B)

Answers

Answer:

Option d - $P(A)=\text{P(A and B)} * P(B|A)$

Step-by-step explanation:

Given : Event B is dependent on event A, and event A occurs before event B.

To find : Which formula can be used to find the probability of event A?

Solution :

Event B is dependent on event A

i.e. The intersection of A and B - A and B

Probability of event B is dependent on event A is P(A and B)

Event A occurs before event B

i.e. B|A

Probability of event A occurs before event B is P(B|A)

Event B is dependent on event A, and event A occurs before event B is

$\text{P(A and B)} * P(B|A)$

The formula which shows the probability of event A is

$P(A)=\text{P(A and B)} * P(B|A)$

Therefore, Option d is correct.

The right answer for the question that is being asked and shown above is that: "d. P(A and B) × P(B|A)." Event B is dependent on event A, and event A occurs before event B. the formula that can be used to find the probability of event A is P(A and B) × P(B|A)

One angle is five less than three times the size of another angle. Together they have a sum of 143 degrees. What are the sizes of each angle?

Answers

Let the size of one angle be x
so the size of another angle = 3x-5
sum of the two angles = 143 degrees
so, x + 3x - 5 = 143
or, 4x = 143+5
or, x = 149/4 = 37.25 degrees
other angle = 3*37.25-5 = 106.75 degrees

let the another angle be x ,then first angle will be 3*x-5
according to the question
x + 3*x-5 =143'
x+3*x=143+5
4*x=148
x=148/4
x=37'
another angle = x =37'
first angle = 3x-5 = 3*37-5 = 111-5 = 106'

With two coins, what is the probability of both coins landing on tails?