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vodka [1.7K]
3 years ago
14

If x is a positive integer divisible by 6, and x < 60, what is the greatest possible value of x?

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0
The greatest value of x is 59
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State if the triangle is congruent
melisa1 [442]

Answer:

Step-by-step explanation:

m∠ JHI + m∠GHJ = 180    { linear pair}

m∠JHI + 90 = 180

m∠JHI = 180 -90 = 90

In ΔGHJ and ΔJHI,

          GJ = IJ   { given}

         JH = JH    {common}

 m∠ JHI = m∠GHJ  { above proved}

ΔGHJ  ≅ ΔJHI     { Angle Side Side congruence}

8 0
3 years ago
The average yield of the standard variety off soybeans per acre on a farm in a region is 48.8 bushels per acre, with a standard
I am Lyosha [343]

Answer:

z=\frac{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3  

p_v =P(Z>2.3)=1-P(Z  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.  

Step-by-step explanation:

1) Data given and notation  

\bar X=53.4 represent the sample mean

\sigma=12 represent the population standard deviation assumed

n=36 sample size  

\mu_o =48.8 represent the value that we want to test  

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 48.8, the system of hypothesis would be:  

Null hypothesis:\mu \leq 48  

Alternative hypothesis:\mu > 48  

Since we assume that know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3  

4)P-value  

Since is a right tailed test the p value would be:  

p_v =P(Z>2.3)=1-P(Z  

5) Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.  

3 0
3 years ago
Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 p
solong [7]

Answer:

(205-9x) times15

Step-by-step explanation:

7 0
3 years ago
Question:Find the area of he trapezoid by decomposing it into other shapes.
Ad libitum [116K]

Answer:

D) 171 cm²

Step-by-step explanation:

You don’t actually need to decompose it.  You could just do it as a trapezoid:

(15+23)/2=19

19x9=171

If you want to decompose it into 2 triangles and a rectangle:

10=15x9=135

1/2(3)(9)=13.5

1/2(5)(9)=22.5

135+13.5+22.5=171 also

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3 years ago
1. What is the solution to the system of equations?
inysia [295]
<span> Use the substitution method to justify that the given system of equations has no solution.</span>
4 0
3 years ago
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