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2 years ago

What is the solution to the equation: 37x=9x+4

Mathematics

2 answers:

kykrilka [37]2 years ago

8 0

Answer:

28x=4

x=1/7

Step-by-step explanation:

First you would make simplyfiy the expression so that you would have x on one side, when you do that you will get 28x=4. When simplyfied you will get 1/7.

aalyn [17]2 years ago

5 0

Answer: X = 1/7

Step-by-step explanation:

37x = 9x + 4

subtract 9x to both sides

28x = 4

now divide by 28

x = 4/28

simplified its

x = 1/7

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Flauer [41]

C) You have to subtract3x from x yielding -2x.

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3 years ago

What is the length and width of a 864 square feet

spayn [35]

The area doesn't tell you the dimensions. There are an infinite number of different answers, all with the same area but different dimensions.
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3 years ago

A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude

EleoNora [17]

Answer:

a) $P(X \leq 2)= P(X=0)+P(X=1)+P(X=2)$

And we can use the probability mass function and we got:

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

And adding we got:

$P(X \leq 2)=0.0115+0.0576+0.1369 = 0.2061$

b) $P(X=4)=(20C4)(0.2)^4 (1-0.2)^{20-4}=0.2182$

c) $P(X>3) = 1-P(X \leq 3) = 1- [P(X=0)+P(X=1)+P(X=2)+P(X=3)]$

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

$P(X=3)=(20C3)(0.2)^3 (1-0.2)^{20-3}=0.2054$

And replacing we got:

$P(X>3) = 1-[0.0115+0.0576+0.1369+0.2054]= 1-0.4114= 0.5886$

d) $E(X) = 20*0.2= 4$

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=20, p=0.2)$

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:

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

Part a

We want this probability:

$P(X \leq 2)= P(X=0)+P(X=1)+P(X=2)$

And we can use the probability mass function and we got:

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

And adding we got:

$P(X \leq 2)=0.0115+0.0576+0.1369 = 0.2061$

Part b

We want this probability:

$P(X=4)$

And using the probability mass function we got:

$P(X=4)=(20C4)(0.2)^4 (1-0.2)^{20-4}=0.2182$

Part c

We want this probability:

$P(X>3)$

We can use the complement rule and we got:

$P(X>3) = 1-P(X \leq 3) = 1- [P(X=0)+P(X=1)+P(X=2)+P(X=3)]$

$P(X=0)=(20C0)(0.2)^0 (1-0.2)^{20-0}=0.0115$

$P(X=1)=(20C1)(0.2)^1 (1-0.2)^{20-1}=0.0576$

$P(X=2)=(20C2)(0.2)^2 (1-0.2)^{20-2}=0.1369$

$P(X=3)=(20C3)(0.2)^3 (1-0.2)^{20-3}=0.2054$

And replacing we got:

$P(X>3) = 1-[0.0115+0.0576+0.1369+0.2054]= 1-0.4114= 0.5886$

Part d

The expected value is given by:

$E(X) = np$

And replacing we got:

$E(X) = 20*0.2= 4$

3 0

3 years ago

PLEASE HELP ill give brainlist to the first right answer

attashe74 [19]

Answer:

Step-by-step explanation:

Put it into y=mx+b form and use substitution.

3 0

2 years ago

What is the unit rate $1.29 for 15oz to nearest tenth

Nina [5.8K]

Answer:

The unit price of an item is the cost for each unit.

The unit price may be calculated for several reasons.

It will allow an easy comparison of the cost of the same quantity of items that come in different sizes.

For example, Company A sells peaches in a can. Their can holds 16 oz of peaches at a price of $1.60. Company B also sells peaches in a can, but their can holds 10 oz of peaches at a price of $1.10. At first glance, Company B looks like they might have cheaper peaches because of the lower overall price, but when you calculate the unit price, you get a more accurate way to compare.

For Company A, $1.60 ÷ 16oz = $0.10 per ounce.

For Company B, $1.10 ÷ 10oz = $0.11 per ounce.

The peaches are measured with ounces as the unit, so now that we have unit prices, we can definitely tell that Company A is the better deal, if you like peaches!

Unit price can also be helpful to find the cost of a single item when many items are purchased together. This may be required if the items are going to be divided up and resold. It could also be useful if several people will pay together with each person paying their fair share of the cost based on how many items they receive.

Step-by-step explanation:

5 0

3 years ago