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3 years ago

How do I solve 5/9x + 1/6 = -3/4

Mathematics

2 answers:

joja [24]3 years ago

6 0

Hope this helps but I think the answer is -33/20 which simplifies to -1 13/20

Anika [276]3 years ago

6 0

First convert 5/9 into 20/36, 1/6 into 6/36, -3/4 into -27/36
Now the math

20/36x + 6/36 = -27/36
- 6/36. - 6/36
20/36x = -33/36
/(20/36) /(20/36)
x = -33/20 or -1.65

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Joe took out a loan for $5,000. There

erica [24]

Answer:

4750 dollars

Step-by-step explanation:

5000*.05=250

5000-250=4750

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3 years ago

Calculate the midpoint of the line segments joining the two points (-8, -7) and (4,9)

dmitriy555 [2]

Answer:

Step-by-step explanation:

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M [ -8 + 4/2 , -7 + 9/2]

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3 years ago

A group of women tried five brands of fingernail polish and ranked them according to preference. What level of measurement is th

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Answer: Ordinal

Step-by-step explanation:

We know that the ordinal scale is a level of measurement which is used when we are ordering attributes according to their ranks or preferences.

For example : In an exam we arrange position of students as :

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3 years ago

Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter

sweet [91]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events <em>A</em> and <em>B</em> are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

$P(A\cap B)=0$

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

$P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0$

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, $P(A\cap B)=0$ .

Events A and B are independent if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, $P(A\cap B)=P(A)\times P(B)$ .

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that $P(A\cap B)=0$ .

Now compute the value of $P(A)\times P(B)$ as follows:

$P(A)\times P(B)=0.30\times 0.40=0.12\neq 0$

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

4 0

3 years ago

sarah used 3/4 pound of blueberries to make 1/2 cup of jam. how many pounds of blueberries would she need to make a cup of jam?

Ksenya-84 [330]

Answer: She needed $1\frac{1}{2}\text{ pounds of blueberries}$ to make a cup of jam .

Step-by-step explanation:

Since we have given that

Sarah used $\frac{3}{4}$ pound of blueberries to make $\frac{1}{2}$ cup of jam.

As we need to find the number of pounds of blueberries she would need to make a cup of jam.

So, we will use "Unitary Method":

$\text{For }\frac{1}{2}\text{ cup of jam},\\\\\text{ she need }\frac{3}{4}\text{ pound of blueberries }\\\\\text{ For 1 cup of jam}.\\\\\text{She need }=\frac{3}{4}\times 2=\frac{3}{2}=1\frac{1}{2}\text{ pounds of blueberries }$

Hence, She needed $1\frac{1}{2}\text{ pounds of blueberries}$ to make a cup of jam .

4 0

3 years ago