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3 years ago

Can someone please answer number 32

Mathematics

2 answers:

dem82 [27]3 years ago

7 0

8 & 4 when you add them together it’s 12 and when you multiply then it’s 32. When you see sum in a problem it means add. When you see product in a problem it means multiply.

Tanya [424]3 years ago

4 0

Step-by-step explanation:

We can do this either by looking at:

the bonds of 12, (of which there are 7 pairs)

(which pairs of numbers add up to 12?)

or the factors of 32 (of which there are 3 pairs)

Using the factors seems quicker.

Write the factors and in each find their sum.

As 12 is quite small in comparison to 32, I would expect that the middle factors will be the ones we want - they have the smallest sum and the smallest difference of all the pairs:

1×32

=32

1+32

=33

2×16

=32

2+16

=18

4×8

=32

4+8

=12

these are the ones we want.

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agasfer [191]

Well technically it would be $600

5 0

2 years ago

A number decreased by 14 is equal to 18. What is the number?

Sunny_sXe [5.5K]

The correct answer is 32 because:

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3 0

2 years ago

Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to

Pavlova-9 [17]

Answer:

The average rate of change of the function in this interval is of 18.

Step-by-step explanation:

The average rate of change of a function $f(x)$ in an interval from a to b is given by:

$A = \frac{f(b) - f(a)}{b - a}$

In this question:

$f(x) = x^2 + 6x$

Where x goes from 5 to 7.

This means that $b = 7, a = 5$ . So

$f(7) = 7^2 + 6(7) = 49 + 42 = 91$

$f(5) = 5^2 + 6(5) = 25 + 30 = 55$

The rate of change is:

$A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18$

The average rate of change of the function in this interval is of 18.

8 0

2 years ago

According to a survey, 18% of the car owners said that they get the maintenance service done on their cars according to the sche

Annette [7]

Answer:

a) For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

b) Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Solution to the problem

Part a

For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

Part b

Find to 3 decimal places the probability that exactly 3 car owners in a random sample of 12 get the maintenance service done on their cars according to the schedule recommended by the auto company.

Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

6 0

2 years ago

Solve the compound inequality 6b < 42 or 4b + 12 > 8. (1 point)

Nitella [24]

6b<42
b<7
4b+12>8
4b>-4
b>-1
b>-1 or b<7

8 0

2 years ago