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4 years ago

What is the equation to -2x-9=-89

Mathematics

2 answers:

Oksana_A [137]4 years ago

7 0

Step-by-step explanation:

I'm guessing you mean answer?

You would need to solve for x.

Steps:

1. -2x-9=-89

--add 9 to both sides

2. -2x=-80

--divide each side by -2

3. x=40

Hope this helped!! :))

inna [77]4 years ago

6 0

The answer for X is 40

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In the united states, voters who are neither democrat nor republican are called independent. it is believed that 12% of voters a

Nitella [24]

Answer:

a) 0.0245 = 2.45%

b) 0.9483 = 94.83%

c) 0.6931 = 69.31%

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are independent, or they are not. The probability of a person being independent is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

It is believed that 12% of voters are independent.

This means that $p = 0.12$

Survey of 29 people

This means that $n = 29$

a. what is the probability that none of the people are independent? probability =

This is P(X = 0). So

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

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

0.0245 = 2.45% probability that none of the people are independent

b. what is the probability that fewer than 7 are independent? probability =

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

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

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X = 3) = C_{29,3}.(0.12)^{3}.(0.88)^{26} = 0.2274$

$P(X = 4) = C_{29,4}.(0.12)^{4}.(0.88)^{25} = 0.2016$

$P(X = 5) = C_{29,5}.(0.12)^{5}.(0.88)^{24} = 0.1374$

$P(X = 6) = C_{29,6}.(0.12)^{6}.(0.88)^{23} = 0.0750$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0245 + 0.0971 + 0.1853 + 0.2274 + 0.2016 + 0.1374 + 0.0750 = 0.9483$

0.9483 = 94.83% probability that fewer than 7 are independent

c. what is the probability that more than 2 people are independent? probability =

Either two or less are, or at least 3 are independent. The sum of the probabilities of these events is decimal 1. So

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

We want P(X > 2). So

$P(X > 2) = 1 - P(X \leq 2)$

In which

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

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

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0245 + 0.0971 + 0.1853 = 0.3069$

$P(X > 2) = 1 - P(X \leq 2) = 1 - 0.3069 = 0.6931$

0.6931 = 69.31% probability that more than 2 people are independent

3 0

3 years ago

What is the difference from 10 and 12

goblinko [34]

$\huge\text{Hey there!}$

$\large\text{What is the \bf{difference from 10 and 12}}\large\text{ ?}$

$\large\text{The word \underline{DIFFERENCE} usually it means \underline{SUBTRACT} in}\\\large\text{mathematical terms.}$

$\large\text{So, we will reword the question saying 10 SUBTRACTED by 12}$

$\large\text{10 - 12 = \bf -2}$

$\large\text{12 - 10 = \bf 2}$

$\boxed{\huge\textsf{The difference from 10 \& 12 is: \boxed{\huge\text{\bf -2 or 2 }}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

3 0

3 years ago

You have a drawer with five pairs of white socks, three pairs of black socks, and one pair of red socks. You choose one pair of

Katena32 [7]

Answer:

20.8%

Step-by-step explanation:

To find the final probability, two separate events must be done and the final propagation is the multiplication of these, like this:

First event:

Probability of black socks on Monday:

Total pair of socks: 1 + 3 + 5 = 9

Number of black socks on Monday: 3

Thus:

3/9 = 1/3

Second event:

Probability of white socks on Tuesday:

Total pair of socks: 8

Number of white socks on Tuesday: 5

Thus:

5/8

Final probability:

1/3 * 5/8 = 5/24

P = 0.208

So the probability would be 20.8%

7 0

3 years ago

Gaby has a total of 36 coins in her piggy bank. If the only coins in the bank are nickels and quarters, and add up

IrinaK [193]

Answer:

21 quarters = 5.25

15 nickel. = .75

Step-by-step explanation:

21 + 15 = 36

5.25 + .75 = 6.00

5 0

3 years ago

Can someone please teach me how to to this<br> Item: $30 Discount: 15%

seraphim [82]

Answer:

$25.5

Step-by-step explanation:

Sure, so the total of the

Item:

30 Dollars ($)

and the discount price is

15 percent (%)

So 30 times 0.15 because 30 is the price in total and 0.15 is the percentage but in a decimal form.

30 times 0.15 equals 4.5

4.5 is the amount that 15 % equals.

30 minus (-) 4.5 because once again the total is 30 and since we have a discount price then we minus (-) the discount price by the total and you get

A total with the discount price as 25.5 Dollars or $25.5

Hope this helps ;)

5 0

3 years ago