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Usimov [2.4K]
3 years ago
11

Solve for x (Show work)

Mathematics
1 answer:
34kurt3 years ago
4 0

Answer:

x \approx 36.57

Step-by-step explanation:

Let the length of the perpendicular be y units.

So,. By Pythagoras Theorem:

{y}^{2}  =  {32}^{2}  -  {28}^{2}  \\    = (32 + 28)(32 - 28) \\  = 60(4) \\   {y}^{2} = 240 \\  \\ by \: geometric \: mean \: property \\  {y}^{2}  = 28(x - 28) \\  240 = 28x - 784 \\ 240 + 784 = 28x \\  1024 = 28x \\  x =  \frac{1024}{28}  \\  x = 36.5714286 \\ x \approx 36.57

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1.5 lbs of beans.................

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Describe what the line on a graph would look like if it had a constant positive rate.
Nuetrik [128]

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The line would be straight; it could be vertical or horizontal.

5 0
2 years ago
Question 6 (1.25 points)
Lisa [10]

Answer:

Test statistic Z= 1.713

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

Step-by-step explanation:

<u><em>Step(i):-</em></u>

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population  μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

H₀:  x⁻ =  μ

Alternative Hypothesis :  x⁻ ≠  μ

<u><em>Step(ii)</em></u>:-

Test statistic

                 Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

                 Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }

                Z =  1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

4 0
3 years ago
Exterior angle theorem
Ivanshal [37]

m1 = 79 + 58

m1 = 137

7 0
2 years ago
Help me with this plz
liberstina [14]
1/2 * 1/4 = 1/8
3/8 * 2/3 = 1/4 same for back left fin
2/5 *1/2 = 1/5
2/3 *1/2 = 1/3
1/4 + 3/4 = 8/8
2/3 +1/6 = 5/6
4/5 +1/5 = 4/4
1/4 +1/5 = 9/20
front/back right fin = 3/8
x+ 1 2/3..... = 4/5


8 0
2 years ago
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