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3 years ago

8(2 W - 1) - 4 W = - 116

Mathematics

1 answer:

fiasKO [112]3 years ago

4 0

Step 1) Distribute everything in parentheses by 8.

16w-8-4w=-116

Step 2) Combine like terms

12w-8=-116

Step 3) Add 8 to both sides

12w=-108

Step 4) Divide

Answer: -9

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-9 is____ units away from 0 on the number line.

Aloiza [94]

Answer:

My answer would be 9 unit away

Step-by-step explanation:

becuase you can subtract 0 from -9

0 + -9 would equal -9

then 9 - (-9) = 0

so 9 is my answer

sorry if i am wrong

7 0

4 years ago

A certain virus infects one in every 400 people. A test used to detect the virus in a person is positive 90% of the time if the

Ahat [919]

Answer:Given:

P(A)=1/400

P(B|A)=9/10

P(B|~A)=1/10

By the law of complements,

P(~A)=1-P(A)=399/400

By the law of total probability,

P(B)=P(B|A)*P(A)+P(B|A)*P(~A)

=(9/10)*(1/400)+(1/10)*(399/400)

=51/500

Note: get used to working in fraction when doing probability.

(a) Find P(A|B):

By Baye's Theorem,

P(A|B)

=P(B|A)*P(A)/P(B)

=(9/10)*(1/400)/(51/500)

=3/136

(b) Find P(~A|~B)

We know that

P(~A)=1-P(A)=399/400

P(~B)=1-P(B)=133/136

P(A∩B)

=P(B|A)*P(A) [def. of cond. prob.]

=9/10*(1/400)

=9/4000

P(A∪B)

=P(A)+P(B)-P(A∩B)

=1/400+51/500-9/4000

=409/4000

P(~A|~B)

=P(~A∩~B)/P(~B)

=P(~A∪B)/P(~B)

=(1-P(A∪B)/(1-P(B)) [ law of complements ]

=(3591/4000) ÷ (449/500)

=3591/3592

The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

.~A .399 .3591 . 3990

Tot .408 .3592 . 4000

So P(A|B)=9/408=3/136

P(~A|~B)=3591/3592

As before.

Step-by-step explanation: its were the answer is

5 0

4 years ago

How many zeros does this equation have?

anastassius [24]

I would say the answer is 2

7 0

3 years ago

Read 2 more answers

How do you model a decimal using a fraction

stiks02 [169]

Okie dokie,
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or $\frac{5}{10}$
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
$\frac{1}{2}$ is your answer!
--------
Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
26/100 or $\frac{26}{100}$
You can simplify this!
13/50 is your answer!

Calculators can also come in handy!
Good luck!

4 0

3 years ago

If I am adding one positive number and one negative number, will the answer be positive or negative? What does it depend on?

maxonik [38]

It depends on which number has the greatest absolute value.

Think about it as money

If you owe me $10, this is shown as -10

Now if I give you back 2 dollars (+2), How much money do I still owe you.

The equation is -10+2

I still owe you 8 dollars which is portrayed as -8

Hope this helps :)

8 0

3 years ago