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djyliett [7]
3 years ago
10

Solve: 3x - 9 = 5(x-3)

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Hi,

3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3

Have a good day.

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alexandr1967 [171]
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(9q^2)-(6q)-(6q)+4
9q^2 -12q +4
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An automobile shop manager timed 27 employees and recorded the time, in minutes, it took them to change a water pump. Assuming n
SSSSS [86.1K]

Answer:

Excel attached with the solution.

Step-by-step explanation:

Mean

\bar{x}=\frac{\sum x_{i}}{n}

Standard deviation

sd=\sqrt{\frac{\sum (x_{i}-\bar{x})}{n-1}}

Confidence interval

\bar{x} \pm z_{\alpha}*sd/\sqrt{n}

The formulas used are in the Excel file attached.

Download xlsx
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3 years ago
Y+x2÷2 when x=4 and y=−3.
shtirl [24]

Answer:

The answer is 1.

Step-by-step explanation:

Plug in the values to make the equation -3+4*2/2

According to the order of operations, you should multiply what you can first.

so 4*2 = 8

Then 8 divided by 2 = 8/2=4

Then -3+4=1

5 0
3 years ago
Read 2 more answers
Suppose at another time you would like to use the same pancake recipe.
erma4kov [3.2K]

For the pancake recipe, the results of the conversion of all the ingredients of the recipe to use exactly 3/4 cup of milk is:

  • Milk = 3/4 cup
  • Flour = 1 cup
  • Baking powder = 1 tablespoon      
  • Salt = 0.5 teaspoons
  • Eggs = 1
  • Blueberries = 0.62 cups
  • Servings = 3

   

To convert the recipe to use exactly 3/4 cup of milk, we need to convert all the ingredients units. We can start with the cups of flour.  

Initially, we had the following amount of milk:

milk = 1 + 1/2 = 3/2\: cups

Before we needed 2 cups of flour for 1 1/2 cups of milk, now for 3/4 cups of milk we need the following cups of flour:  

flour = \frac{2\: flour}{3/2 \:milk}*3/4 \:milk = 1\: cup

We can convert the other ingredients with this amount of cup of milk.

<u>Tablespoons baking powder</u>

baking powder = \frac{2\: baking\: powder}{3/2 \:milk}*3/4 \: milk = 1\: tablespoon  

Hence, we need to use now 1 tablespoon of baking powder.

<u>Teaspoon salt </u>

salt = \frac{1\: salt}{3/2 \:milk}*3/4 \:milk = 0.5 \: teaspoon  

Therefore, we need now 0.5 teaspoons of salt.  

<u>Eggs</u>

eggs = \frac{2\: eggs}{3/2 \:milk}*3/4 \:milk = 1  

Then, we need 1 egg.

<u>Cups blueberries</u>

blueberries = \frac{5/4 \: blueberries}{3/2 \:milk}*3/4 \:milk = 0.62 \:cups  

Therefore, 0.62 cups of blueberries are needed now.

The new amount of serving (s) is:

s = \frac{6 s}{3/2 \:milk}*3/4 \:milk = 3

Hence, for 3/4 cup of milk we can make now 3 servings.

You can find more about the conversion factor here:

  • brainly.com/question/14193078?referrer=searchResults    
  • brainly.com/question/17345991?referrer=searchResults                                                                                                                          

I hope it helps you!                          

8 0
3 years ago
The probability distribution for a
pishuonlain [190]

Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.

Given:

The probability distribution for a random variable x is given in the table.

x     :    -5          -3            -2            0           2          3

P(x) :  0.17      0.13       0.33       0.16       0.11      0.10

To find:

The probability of -2.

Solution:

From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.

P(-2)=0.33

Therefore, the probability of -2 is 0.33.

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3 years ago
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