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2 years ago

Why do i have to subtract 3 from both sides of the following equation instead dividing by 9 first.

2 answers:

6 0

Because the 3 doesn't have a "letter" behind it. You would subtract the 3 first and all you would have left on the left side of the expression will be 9x. then on the other side of the expression you would subtract 3 from 27. So, 27 minus 3. After you get the answer from 27 minus 3, you will then divide that answer by 9. Then you have the answer or what "x" equals after you divide by 9.

Nata [24]2 years ago

3 0

You are trying to find x, and you need to isolate it as much as possible

Remember PEMDAS

you are pretty much doing the opposite of it, or SADMEP, to find x

hope this helps

9x + 3 = 27
9x + 3 (-3) = 27 (-3)
9x = 24
9x/9 = 24/9

x = 8/3

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Question 3(Multiple Choice Worth 3 points)

KiRa [710]

Answer:

-5

Step-by-step explanation:

The coefficient is the number that goes in front of the variable

The only variable is x and the number in front is -5

The coefficient is -5

5 0

2 years ago

A well-mixed cookie dough will produce cookies with a mean of 6 chocolate chips apiece. What is the probability of getting a coo

posledela

The probability of getting a cookie with no more than 3 chips is 0.714.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Well-mixed cookie dough will produce cookies with a mean of 6 chocolate chips apiece.

Using poison ratio:

$\rm P (X = k) = \dfrac{\lambda^k e^{-\lambda}}{k!}$

λ is the mean number of chocolate chips in a piece

$\rm P (X = 6) = \dfrac{6^k e^{-6}}{k!}$

P(X ≥ 5) = 1 - P(X < 5)

P(X ≥ 5) = 1 - P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

$\rm P(X \geq 5) = 1-[\dfrac{6^0 e^{-6}}{0!}+\dfrac{6^1 e^{-6}}{1!}+\dfrac{6^2 e^{-6}}{2!}+\dfrac{6^3 e^{-6}}{3!}+\dfrac{6^4 e^{-6}}{4!}]$

After solving;

P(X ≥ 5) = 0.714

Thus, the probability of getting a cookie with no more than 3 chips is 0.714.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

6 0

1 year ago

What is 2 2/3 + 1 1/2

AnnyKZ [126]

Answer:

4.17

Step-by-step explanation:

4 0

2 years ago

How hot does it get in Death Valley? The following data are taken from a study conducted by the National Park System, of which D

Sonbull [250]

Answer:a) mean=167.1

b)median=168.5

c)mode= 180

Step-by-step explanation:

Mean= total sum of values in the data set/ number of values

=2339/14=167.1

Median = midpoint = 165+172/2= 337/2= 168.5

Mode= number with the highest number of frequency, for this data set, 180 occurred most because it occurred three times

8 0

2 years ago

An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholde

n200080 [17]

Answer:

(a)

$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

(b)

$P(3 \le x \le 6) = 0.30$

$P(4 \le x)=0.60$

Step-by-step explanation:

Given

$F(x) = \left[\begin{array}{ccc}0& x$

Solving (a): The pmf

This means that we list out the probability of each value of x.

To do this, we simply subtract the current probability value from the next.

So, we have:

$\begin{array}{cccccc}x & {1} & {3} & {4} & {6} & {12} \ \\ P(x) & {0.30} & {0.10} & {0.05} & {0.15} & {0.40} \ \end{array}$

The calculation is as follows:

$0.30 - 0 = 0.30$

$0.40 - 0.30 = 0.10$

$0.45 - 0.40 = 0.05$

$0.60 - 0.45 = 0.15$

$1 - 0.60 = 0.40$

The x values are gotten by considering where the equality sign is in each range.

$1 \le x < 3$ means $x = 1$

$3 \le x < 4$ means $x = 3$

$4 \le x < 6$ means $x=4$

$6 \le x < 12$ means $x = 6$

$12 \le x$ means $x = 12$

Solving (b):

$(i)\ P(3 \le x \le 6)$

This is calculated as:

$P(3 \le x \le 6) = F(6) - F(3-)$

From the given function

$F(6)= 0.60$

$F(3-) = F(1) = 0.30$

So:

$P(3 \le x \le 6) = 0.60 - 0.30$

$P(3 \le x \le 6) = 0.30$

$(ii)\ P(4 \le x)$

This is calculated as:

$P(4 \le x)=1 - F(4-)$

$P(4 \le x)=1 - F(3)$

$P(4 \le x)=1 - 0.40$

$P(4 \le x)=0.60$

8 0

2 years ago