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EastWind [94]
3 years ago
10

Help me please it’s algebraic expression

Mathematics
1 answer:
Ksju [112]3 years ago
4 0

Answer:

17. xy + z = 51

18 yz - x = 18

21. 5z + ( y - x ) = 20

22. 5x - ( y2 - 4x ) = -10

23 . x2 + y2 - 10z = 70

24. z3 + ( y2 - 4x ) = 1

25. y + xz / 2

26 .3y + x2 / z = 30

Step-by-step explanation:

17.(6 x 8)+3=

    48+3=51

18.(8 x 3)- 6 =

     24 - 6 = 18

21. 15 + ( 8 - 3 )

      15 + 5=

        20

22 .30 - (64 - 24)=

      30 - 40=

       -10

23. 36 + 64 - 30

      100 - 30

        70

24.  9 + (16 - 24 )=

       9 + -8 =

        1

25. 8 + 48 / 2

      56 / 2

       28

26. 24+ 36/3

      60/3=

       30

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Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

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

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

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t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

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3 years ago
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Answer:

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Step-by-step explanation:


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3 years ago
10% of what number is 78?
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So we know that <u><em>10%</em></u> means <em>10/100</em>, <u><em>of</em></u> means times, <em><u>what</u></em> <em><u>number</u></em> means <em>x</em>, <u><em>is</em></u> means <em>equals</em>, and <em><u>12</u></em> means 12.

Notice that <em>10/100</em> can be reduced to 1/10.

So rewriting our problem we have <em>X/10 = 78</em>.

To get rid of the fraction, we multiply both sides of the equation by 10 and we have <em>x = 780</em>. So, 10% of 780 is 78.

Now let's check our answer back in the original problem to see if it makes sense.

We have <em>10% of 780 is 78</em>. Well we know that 100% of of 780 would be 780 so 10% of 780 should be alot less than 780 so 78 seems to make sense.

Image provided showing my work.

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Answer:

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