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exis [7]
2 years ago
6

A pair of numbers that has the sum of 12 and a difference of eight

Mathematics
1 answer:
anygoal [31]2 years ago
7 0

Answer:

2 ; 10

Step-by-step explanation:

a + B = 12

a - B = 8

a = 12 - B

(12 - B) - B = 8

a = 12 - B

12 - 2B = 8

B = 2

A = 10

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Please help me with this it might look easy to you but not to me :
Rasek [7]

Answer:

10

Step-by-step explanation:

5/6 =0.8333

12x0.8333 = 10

7 0
3 years ago
F. one die is rolled 3 times. what is the chance of getting no 2's?
aniked [119]
6^3 = 216. When using chance, take the number of outcomes(six for a die) and raise it to the power of the number of repetitions 
6 0
3 years ago
What is the unit rate for You create 18 centerpieces for a party in 6 hours. ​
Snezhnost [94]

Answer: The unit rate is 3 centerpieces per hour

Step-by-step explanation:

18centterpieces/6hrs =3

8 0
3 years ago
Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat
Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, \bar{x} = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis  such that the power plant will be shut down when the null hypothesis is rejected.

H_{0}: \mu \leq 60\\H_A: \mu > 60

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49

Now, z_{critical} \text{ at 0.05 level of significance } = 1.64

Since,  

z_{stat} > z_{critical}

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

7 0
3 years ago
Solve for x.<br>8 + 6x<br>4*+2​
zheka24 [161]

Answer:

x = 0

Step-by-step explanation:

8 + 6x = 4 * 2

If this is the equation then start with multiplying 4 by two and subtracting 8 from both sides

6x = 0

Divide 6 from both sides

x = 0

To test this, insert the value of x which is 0

8 + 6(0) = 4 * 2

Multiply 6 and 0

8 + 0 = 4 * 2

Multiply 4 and 2

8 + 0 = 8

Add

8 = 8

This equation is true as you can see so x is equal to 0.

Hope this helps.

- Que

5 0
3 years ago
Read 2 more answers
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