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Viefleur [7K]
2 years ago
7

1 Solve 8x - 9 = 15 for x.

Mathematics
1 answer:
Anna [14]2 years ago
7 0

Answer:

x= 3

Step-by-step explanation:

8x - 9 =15

+9 on both sides

8x = 15 + 9

Add 15 and 9 to get 24

8x = 14

Divide 8 by both sides

x = 3

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To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hou
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Answer: <u>Last option</u>

Z_ {13} = 0.5,\ Z_ {17} = 2.5

Step-by-step explanation:

The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.

To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.

so  

Z = \frac{x- \mu}{\sigma}.

Where x is the value of the data, μ is the mean and σ is the standard deviation

In this case :

μ = 12 $/h

\sigma = 2 $/h

We need to calculate the Z-scores for x = 17 and x = 13

Then for x = 17:

Z_{17} = \frac{17-12}{2}.

Z_{17} = 2.5

Then for x = 13:

Z_{13} = \frac{13-12}{2}.

Z_{13} = 0.5

Therefore the answer is:

Z_ {13} = 0.5,\ Z_ {17} = 2.5

8 0
1 year ago
Read 2 more answers
Triangle A and triangle B are drawn on the grid. Describe fully the single transformation which maps triangle A onto triangle B.
madam [21]

Answer:

Step-by-step explanation:

Triangle A, transforms into a smaler size, and goes into full shape. Triangle B, goes into the negative numbers.

7 0
1 year ago
A metal alloy is a metal made by blending 2 or more types of metal. A jeweler has supplies of two metal alloys. On alloy is 30%
tensa zangetsu [6.8K]

Answer:

He should combine 1 kg of 30% alloy and 3 kg of 10% alloy.

Step-by-step explanation:

Let x = mass of 30% ally.

Let y = mass of 10% alloy.

He needs 4 kg of alloy, so the first equation, dealing with masses, is

x + y = 4

Now we deal with the amount of gold.

He uses x mass of 30% gold alloy. The amount of gold in that mass is 0.3x.

He uses y mass of 10% gold alloy. The amount of gold in that mass is 0.1y.

The total mass of gold is 0.3x + 0.1y. We are told the told the end alloy is 4 kg of 15% gold alloy. That contains 0.15(4) kg = 0.6 kg of gold.

The second equation is

0.3x + 0.1y = 0.6

Now we put together the two equations as a system of equations.

x + y = 4

0.3x + 0.1y = 0.6

Multiply both sides of the second equation by -10.

-3x - y = -6

Add this equation to the first original equation.

         x + y = 4

+     -3x - y = -6

---------------------

        -2x    = -2

            x    = 1

Now substitute x = 1 in the first original equation and solve for y.

x + y = 4

x + y = 4

y = 3

Answer: He should combine 1 kg of 30% alloy and 3 kg of 10% alloy.

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Step-by-step explanation:

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