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marin [14]
3 years ago
11

*Awarding Brainliest to first responder with the correct answer!* What is m∠CDJ ?

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

Step-by-step explanation:

Angle ADC and angle CDJ are complementary.  That means that they add up to equal 90 degrees.  Therefore,

4x + 3x - 8 = 90 and

7x = 98 so

x = 14

Sub in a 14 for x in 3x - 8:

3(14) - 8 = 34

Angle CDJ = 34 degrees

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The martins car traveled 468 miles on 18 gallons of gas. Their car averaged how many miles per gallon.
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A researcher wants to study the average miles run per day for marathon runners. In testing the hypotheses: H0: μ = 25 miles vs.
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Answer:

The calculated value |Z|  = 1.325  < 1.881 at 0.03 level of significance

Null hypothesis is accepted

Alternative hypothesis is rejected

A researcher wants to study the average miles run per day for marathon runners is 25

Step-by-step explanation:

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

Given sample size 'n' = 36

Given mean of the sample x⁻ = 22.8 miles

Given mean of the Population 'μ' = 25

Given standard deviation of the Population 'σ' = 10

<u><em>Null hypothesis:-H₀: μ = 25</em></u>

<u><em>Alternative Hypothesis:H₁:μ ≠ 25</em></u>

Level of significance  = 3 % or 97%

The critical value  Z₀.₉₇ = 1.881

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

Test statistic

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

          Z  = \frac{22.8 - 25}{\frac{10}{\sqrt{36} } }

          Z = -1.325

       |Z| = |-1.325| = 1.325

The calculated value |Z|  = 1.325  < 1.881 at 0.03 level of significance

Null hypothesis is accepted

Alternative hypothesis is rejected

<u>conclusion:-</u>

A researcher wants to study the average miles run per day for marathon runners is 25

     

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