Is 1/4 of 200 greater than 1/2 of 100

A construction company wants to hire x carpenters for $220 a day and y plumbers for $260 a day. the company wants to hire at lea

Ksju [112]

Answer:6

Step-by-step explanation:

$220 × 6 = $1320 this is how much it cost to pay 6 carpenters for one day. Now lets find how much it cost to 12 plumbers at $260 a day. $260 × 12 = $3120 this is how much it costs to pay 12 plumbers a day.

7 0

3 years ago

When you ask a question how do you mark Brainliest?<br> If someone tells me they will get brainleist

kondor19780726 [428]

Answer:

Well usually at the bottom right corner of a persons' answer there will be a little crown that you click on to mark as brainliest.

Step-by-step explanation:

7 0

2 years ago

Need help with 21-23 you suppose to simplify the expression

lora16 [44]

To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:

-(4x + 17) + 3(7-x)

To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.

-4x - 17 + 21 - 3x

Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.

-7x + 4 (your answer)

Now, we can move on to question 22 and solve it in a similar manner:

7(2n-8) - 4(12 - 8n)

Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.

14n - 56 - 48 + 32n

Next, we will combine like terms (add the n terms together and subtract the constant terms).

46n - 104

Now, we can solve problem 23:

8 + 2(5f - 3)

We will again distribute through the parentheses:

8 + 10f - 6

Combine like terms after that:

10f + 2

Therefore, your answers for the three problems are as follows:

21) -7x + 4

22) 46n - 104

23) 10f + 2

Hope this helps!

7 0

3 years ago

Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form? mc010-1.jpg mc010-2.jpg y = 2(x + 7)2 – 73 y = (x + 7)2 – 24

MArishka [77]

Y=(x+3)²+(x+4)²
y=x²+6x+9+x²+8x+16
y=2x²+14x+25
y=2(x²+7x+3.5²-3.5²)+25
y=2(x+3.5)²-2*3.5² +25
y=2(x+3.5)²+0.5

7 0

3 years ago

Read 2 more answers

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.08

kvv77 [185]

Answer:

a) 44.93% probability that there are no surface flaws in an auto's interior

b) 0.03% probability that none of the 10 cars has any surface flaws

c) 0.44% probability that at most 1 car has any surface flaws

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the binomial probability distributions.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Binomial 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.

Poisson distribution with a mean of 0.08 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel.

So $\mu = 10*0.08 = 0.8$

(a) What is the probability that there are no surface flaws in an auto's interior?

Single car, so Poisson distribution. This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.8}*(0.8)^{0}}{(0)!} = 0.4493$

44.93% probability that there are no surface flaws in an auto's interior

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws?

For each car, there is a $p = 0.4493$ probability of having no surface flaws. 10 cars, so n = 10. This is P(X = 10), binomial, since there are multiple cars and each of them has the same probability of not having a surface defect.