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Arte-miy333 [17]
3 years ago
9

Find angle ABC if ABC = 4x+9 and angle EBD = 7x-9

Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

33°

Step-by-step explanation:

As this are vertical angles there value must be same. We have 4x+9=7x-9, so 3x=18 and x=6. Then ABC=33°

Have a nice day ;)

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.12%

5 0
2 years ago
Will give 50 points
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120.96$

Step-by-step explanation:

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Hope this helps!!

7 0
2 years ago
A sociologist wants to determine if the life expectancy of people in africa is less than the life expectancy of people in asia.
Colt1911 [192]

Answer:

The sample statistics are attached.

First, we need to determine the hypothesis.

The null hypothesis should be: H_{o} : u_{africa} \geq u_{asia}.

The alternative hypothesis should be: H_{a}: u_{africa}

The next step is about calculating the<em> t statistics </em>based on the samples. This <em>t test </em>will give the probability value or p-value, which determines if there's enough to reject the null hypothesis. The formula we need to use to find the t-value is: t=\frac{x_{1}-x_{2}  }{\sqrt{\frac{s_{1} ^{2} }{n_{1} } +\frac{s_{2} ^{2} }{n_{2} } } }

Replacing all the values into the formula, we have:

t=\frac{52.4-58.1}{\sqrt{\frac{(7.4)^{2} }{45}+\frac{(8.8)^{2} }{35}  } } \\t=\frac{-5.7}{\sqrt{1.2+2.2} } =\frac{-5.7}{1.8} =-3.2

Therefore, the t-value is -3.2.

Now, we using a level of significance of 0.01, and a degree of freedom (df) of 34, we use the t-table to find the p-value for this results. (df = N -1; in this case, we take the smaller sample, which is 35, giving us 34 of df).

Therefore, according to the table attached, <em>the p-value is less than 0.01,</em> which is less than our level of significance. This result means that the null hypothesis is rejected. In other words, there's enough evidence to say that <em>the life expectancy of people in Africa is less than the life of expectancy of people in Asia.</em>

<em></em>

3 0
3 years ago
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Let P = Pressure, V = Volume and be K = constant, by definition of Boyle's Law in which says that the volume of a gas varies inversely with the pressure, we have:  P = K / V  586 = K / 5  K = 2930.  Then, the pressure when the volume is 2L will be:  P = 2930/2 = 1465Kpa
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this dot plot shows the number of cakes sold each day in aunt alice's cake shop last month? what is the median number
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Where’s the dot plot
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