The Anderson can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?They can set up _____tables in 5 hours.

Answers

Answer 1
Answer: 30 tables :) 6 times 5 is 30
Answer 2
Answer:

Final answer:

The Andersons can set up 30 tables in 5 hours, as the problem deals with direct proportion. The calculation is 6 tables/hour * 5 hours = 30 tables.

Explanation:

The problem we're dealing with is a direct proportion scenario, where the number of tables the Andersons can set up increases linearly as time increases. It states that they can set up 6 tables in 1 hour. To find out how many tables they can set up in 5 hours, you simply multiply the rate (6 tables/hour) by the amount of time (5 hours).

So, 6 tables/hour * 5 hours = 30 tables. Therefore, the Andersons can set up 30 tables in 5 hours.

Learn more about Direct Proportion here:

brainly.com/question/28730073

#SPJ12


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Given that g(4)=9 and g(-11)=k, find the value of k that would result in a slope of 5 between the two points.

A car insurance company has determined that 7% of all drivers were involved in an accident last year. If 11 drivers are selected at random, what is the probability that 3 or more were involved in an accident last year?

Answers

Using the binomial distribution, it is found that there is a 0.0369 = 3.69% probability that 3 or more were involved in an accident last year.

For each driver, there are only two possible outcomes, either they were involved in an accident, or they were not. The probability of a driver being involved in an accident is independent of any other driver, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

C_(n,x) = (n!)/(x!(n-x)!)

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:

  • 7% of all drivers were involved in an accident last year, hence p = 0.07.
  • 11 drivers are selected at random, hence n = 11.

The probability is:

P(X \geq 3) = 1 - P(X < 3)

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

Then

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

P(X = 0) = C_(11,0).(0.07)^(0).(0.93)^(11) = 0.4501

P(X = 1) = C_(11,1).(0.07)^(1).(0.93)^(10) = 0.3727

P(X = 2) = C_(11,2).(0.07)^(2).(0.93)^(9) = 0.1403

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.4501 + 0.3727 + 0.1403 = 0.9631

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.9631 = 0.0369

0.0369 = 3.69% probability that 3 or more were involved in an accident last year.

To learn more about the binomial distribution, you can check brainly.com/question/24863377

Answer:

Therefore the probability that 3 or more were involved in an accident last year is 0.376.

Step-by-step explanation:

Binomial distribution:

A discrete random variable X having the set {0,1,2.....,n} as the spectrum, is said to have binomial distribution with parameter n= the number of trial and p = probability of getting successes in one trial if the p.m.f of X is give by

P(X=x)=C(n,x)p^x(1-p)^(n-x)   for x=0,1,2,....,n

               =0                                   elsewhere

where C(n,x)= (n!)/(x!(n-x)!), n is a positive integer and 0<p<1.

Given that,

7% of all drivers were involved in an accident last year that was determined by a car insurance company.

p= 7%=0.07, n=11, x=3

P(X≥3)

= 1-P(X≤2)

= 1- P(X=0)-P(X=1)-P(X=2)

          =1- C(11,0)(0.07)^0(1-0.07)^(11)- C(11,1)(0.07)^1(1-0.07)^(10)- C(11,2)(0.07)^2(1-0.07)^(9)

=1- C(11,0)(0.07)^0(0.93)^(11)- C(11,1)(0.07)^1(0.93)^(10)- C(11,2)(0.07)^2(0.93)^(9)

=1-0.624

≈0.376

Therefore the probability that 3 or more were involved in an accident last year is 0.376.

A rectangular block of metal is 25cm long, 11cm wide and 9cm high. The metal block is melted down and all of the metal is used to make a cube. Work out the length of each side of the new cube formed

Answers

Answer:

29.03 cm

Step-by-step explanation:

Step one:

given

A rectangular block of metal is

25cm long

11cm wide and

9cm high.

The volume of the block is

= 25*11*9

= 2475cm^3

Required

The dimension of an equivalent cube

we know that volume of cube

v=l^3

24475=l^3

cube root both sides

l= ∛24475

l= 29.03 cm

Answer:

13.5cm

Step-by-step explanation:

Tried the other answer and got it wrong and saw the right one.

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

Answers

I believe the answer is y = -5/2x + 6

Answer:

y = -5/2x + 5

Step-by-step explanation:

i did the test

How do u write 4,000,000+3,000+50+2 in standard form

Answers

The answer to that would be 4,003,052.
4,003,052 is the answer

Can anyone help me choose the correct answer?!

Answers

Answer:

f(x)=9x-7

when x=-1

f(-1)=9×-1-7=-9-7=-16

when x=0

f(0)=9×0-7=-7

other are similar to this

Can someone help me solve for x?

Answers

3x = 12 - x because they are vertical angles.
+x     +x
4x = 12
/4     /4
x = 3