All categories

2 years ago

Triangle Angle Sum Theorem

Mathematics

1 answer:

Kipish [7]2 years ago

7 0

Answer:

m<DCF = 155°

Step-by-step explanation:

m<DCF = m<D + m<E

m<DCF = 72° + 83°

m<DCF = 155°

You might be interested in

A car is traveling at a speed of

riadik2000 [5.3K]

108 kilometers is 108,000 meters

108,000 ÷ 60 = 1800 meters per minute

1800 ÷ 60 = 30

5 0

2 years ago

Listed below are the lead concentrations in mu ??g/g measured in different traditional medicines. Use a 0.10 0.10 significance l

laiz [17]

Answer:

We conclude that the mean lead concentration for all such medicines is less than 17 mu.

Step-by-step explanation:

We are given below are the lead concentrations in mu;

6.5 18.5 21.5 5.5 8.5 4.5 4.5 17.5 15.5 20

We have to test the claim that the mean lead concentration for all such medicines is less than 17 mu.

Let $\mu$ = mean lead concentration for all such medicines.

So, Null Hypothesis, $H_0$ : $\mu$ = 17 mu {means that mean lead concentration for all such medicines is equal to 17 mu}

Alternate Hypothesis, $H_A$ : $\mu$ < 17 mu {means that the mean lead concentration for all such medicines is less than 17 mu}

The test statistics that would be used here One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}$ ~ $t_n_-_1$

where, $\bar X$ = sample mean lead concentration = $\frac{\sum X}{n}$ = 12.25 mu

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 6.96 mu

n = sample size = 10

So, test statistics = $\frac{12.25 -17}{\frac{6.96}{\sqrt{10}}}$ ~ $t_9$

= -2.16

The value of t test statistics is -2.16.

Now, the P-value of the test statistics is given by the following formula;

P-value = P( $t_9$ < -2.16) = 0.031

Now, at 0.10 significance level the t table gives critical value of -1.383 for left-tailed test. Since our test statistics is less than the critical value of t as -2.16 < -1.383, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean lead concentration for all such medicines is less than 17 mu.

7 0

3 years ago

Write an equation of the line below.

atroni [7]

Answer:

y = 2/3 x

Step-by-step explanation:

slope = m = 4/6 = 2/3

y-intercept = b = 0

Equation: y = mx + b

y = 2/3 x

3 0

2 years ago

9-19 can somebody explain how to do one of them (not the answer) but how to work them out and the answer

Jet001 [13]

Answer: I’ll give you an example of how to do it by solving number 9 - h^2 + 8h + 16

Step-by-step explanation:

Step 1: Find two numbers that when you multiply them it gives you the first term’s coefficient multiplied by the last term’s coefficient (1x16 = 16) and when you add them it gives you the second term’s coefficient (8). The numbers in this case are positive 4 and positive 4.

Step 2: Create two parenthesis with the letter accompanied by the numbers. (h + 4)•(h+4). And that’s how you factor.

In case the first term is elevated to the third you will have to take out GCF (greatest common factor) first. If the numbers are too high like in the exercise number 15 you can also take out GCF and it will make it a lot easier to solve. Sometimes what you write on the parenthesis in the step 2 can be simplified, if that’s so then you would have to do it in order to get the correct answer.

Hope this helps you.

3 0

3 years ago

Read 2 more answers

the price of an article is marked at 25%above the cost price .If it is sold at the profit of Rs 125 after allowing 15%discount ,

I am Lyosha [343]

it will help you a lot is it correct

8 0

2 years ago