Answer:
25
Step-by-step explanation:
When you substitute x for 3, the new equation would be ; 3(3)(2) - 2(3) + 13
using order of operations from left to right, you would start by multiplying
3(3)(2) and 3(3) is 9, and 9(2) is 18. The next step is to multiply 2 and 3 which is 6. Once you have both groups of numbers simplified, you can plug them back in : 18 - 6 + 13 ; 18 - 6 is 12, and 12 + 13 is 25, so the answer is 25.
Answer:
Kamille paid $34.88 for her outfit after tax.
Ms. Roth will pay $59.16 in total.
Step-by-step explanation:
Kamille brought a new outfit that cost $32.00. The tax rate is 9%. How much did she pay for the outfit after tax?
32.00 x 0.09 = 2.88
32 + 2.88 = 34.88
Ms. Roth went to I-Hop for breakfast. She ordered pancakes for $5.00, eggs for $3.50, and orange juice for 42.50. if she tips the waiter 16%, how much will she pay in total?
5 + 3.5 + 42.50 = 51
51 x 0.16 = 8.16
51 + 8.16 = 59.16
Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:
In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.
0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377
If there are 245 total preschoolers, there will be 105 boys.
- What is unitary method?
- The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
- Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
- Recognizing the units and values is crucial when using the unitary technique to a problem.
- Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.
acc to our question-
- Fraction of boys = 3/7
- Fraction of girls = 4/7
- Total number of students = 245
- The number of boys will be:
- = 3/7 × 245.
- = 105 boys
Therefore, there are 105 boys in the school.
learn more about unitary method click here:
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Answer:
( 6, pi/6)
Step-by-step explanation:
( 3 sqrt(3), 3)
To get r we use x^2 + y ^2 = r^2
( 3 sqrt(3) )^2 + 3^2 = r^2
9 *3 +9 = r^2
27+9 = r^2
36 = r^2
Taking the square root of each side
sqrt(36) = sqrt(r^2)
6 =r
Now we need to find theta
tan theta = y/x
tan theta = 3 / 3 sqrt(3)
tan theta = 1/ sqrt(3)
Taking the inverse tan of each side
tan ^-1 ( tan theta) = tan ^ -1 ( 1/ sqrt(3))
theta = pi /6
