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Nataliya [291]
3 years ago
6

C) work out the value of 3² + 2³ d) work out the value of 2⁴ - 3²​

Mathematics
1 answer:
ki77a [65]3 years ago
6 0

Answer:

a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64

b) 7^4 = 7*7*7*7 = 2401

c) 3^2 + 2^3

= 9 + 8

= 17

d) 2^4 - 3^2

= 16 - 9

= 7

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How do you know that 1.026÷5.051≠0.02 without doing the​ division?
OLga [1]

Answer:

Mental Math and Logic

Step-by-step explanation:

You might not have access to a calculator, so when times comes like this when you have to validate a statement if wrong or right, mental math comes in help.

You only need the approximate number to do something like mental math. Both numbers divided by each other, is really close to their whole numbers of 1 and 5, respectively. If you divide 1/5, you get 0.2, which is not what the answer is.  0.02 and 0.2 are very different answers, and you would not get 0.02 no matter how many decimals after that 1.0 and 5.0.

Which means the statement is not true based on logic and mental math.

4 0
2 years ago
What is the solution to the inequality -6+|2p+3|>7
andrezito [222]

Answer:

p >5                  or                            p <-8

Step-by-step explanation:

-6+|2p+3|>7

Add 6 to each side

-6+6+|2p+3|>7+6

|2p+3|>13

We get a positive and negative solution

2p +3 > 13             and  2p +3 < -13

Subtract 3 from each side

2p +3 -3> 13-3           or 2p +3-3 < -13-3

2p > 10                                      2p < -16

Divide by 2

2p/2 > 10/2                                2p/2 <-16/2

p >5                  or                            p <-8

5 0
3 years ago
Read 2 more answers
Which expression is a rational number? A) ( 25 + 25 )2 B) ( 25 + 50 )2 C) ( 50 + 75 )2 D) ( 25 + 72 )2
tigry1 [53]
I believe it's a hope it helps
6 0
3 years ago
Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46
JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

M = \frac{50463-38737}{2} = 5863

Relating the margin of error with the sample size:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.64.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

For this problem, we have that \sigma = 14300, M = 5863. So

M = z\frac{\sigma}{\sqrt{n}}

5863 = 1.645\frac{14300}{\sqrt{n}}

5863\sqrt{n} = 1.645*14300

\sqrt{n} = \frac{1.645*14300}{5863}

(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2

n = 16

The sample size was of 16.

7 0
3 years ago
Look at the steps used to solve the equation below . Which mathematical property justifies the work between steps #3 and 4 step#
Neko [114]
I’m sorry I’m wasting an answer but I’m having some technical issues with Brainly so I will try answering a question to see if it works
4 0
3 years ago
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