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forsale [732]
4 years ago
9

3 -² = Evaluate each expression.

Mathematics
2 answers:
NNADVOKAT [17]4 years ago
8 0
The answer is one because 3-2 =1 I hope it helps
Lena [83]4 years ago
4 0

For this case we must evaluate the following expression:

3 ^ {-2}

By definition of power properties we have to:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Now, we can rewrite the expression as:

\frac {1} {3 ^ 2} = \frac {1} {9}

Finally we have to:

3 ^ {- 2} = \frac {1} {9}

Answer:

3 ^ {- 2} = \frac {1} {9}

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a box of candy contains 0.6 of pounds of caramels and 3.6 pounds of coconut what precent of the contents of the box
enyata [817]

Answer:

We know that the box has:

0.6lb of caramels

3.6lb of coconut.

Then the total mass of candy in the box is:

0.6lb + 3.6lb = 4.2lb

This is the 100% of the box.

Now, we can write this as:

4.2lb = 100%

For example, if we want to know which percentage is caramels, we write the equation:

0.6lb = X

We want to find the value of X

Then we have two equations:

0.6lb = X

4.2lb = 100%

Let's take the quotient of these two equations:

(0.6lb/4.2lb) = X/100%

Now we can solve this for X:

(0.6lb/4.2lb)*100% = X = 14.3%

the caramels represent the 14.3% of the wheight of the box.

And for the coconut candy, we have the relation:

3.6lb = Y

Now let's do the same again, we start with the two equations:

3.6lb = Y

4.2lb = 100%

Take the quotient:

(3.6lb/4.2lb) = Y/100%

Solve for Y:

(3.6lb/4.2lb)*100% = Y = 85.7%

Now we found the percentage that represent each type of candy in the box.

5 0
3 years ago
Using traditional methods, it takes 11.111.1 hours to receive a basic driving license. A new license training method using Compu
IgorLugansk [536]

Answer:

The value of the test statistic is -0.979

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 11.1 hours

Sample mean, \bar{x} = 10.7 hours

Sample size, n = 24

Alpha, α = 0.05

Sample standard deviation, s = 2.0 hours

First, we design the null and the alternate hypothesis

H_{0}: \mu = 11.1\text{ hours}\\H_A: \mu \neq 11.1\text{ hours}

We use two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{10.7 - 11.1}{\frac{2}{\sqrt{24}} } = -0.979

Thus, the value of the test statistic is -0.979

7 0
3 years ago
4. Duane and Roberto joined a rock-a-thon
KonstantinChe [14]

Answer:

Roberto rocked 3 hours longer than Duane.

4 0
3 years ago
Read 2 more answers
What’s 1/6 plus 1.5?
Ivan
The answer would be 1.6667, 1 2/3, or 8/3. All of those are the same thing. Hope this helps!
3 0
3 years ago
What’s the least common multiple of the denominators of 9+3/4x=7/8x-10
Alona [7]

Answer:

x = 72

Step-by-step explanation:

9 +  \frac{3}{4} x =  \frac{7}{8} x - 10 \\  \frac{3}{4}x  -  \frac{7}{8} x =  - 10 - 9 \\  \frac{6}{8} x -  \frac{7}{8} x =  - 19 \\  -  \frac{1}{8}x =  - 19 \\ x =  \frac{ - 9}{ -  \frac{1}{8} }  \\ x = 72

8 0
3 years ago
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