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iris [78.8K]
3 years ago
5

What theorem shows ACE = BCD

Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Answer:

SAS

Step-by-step explanation:

in two triangles

if EC=DC

AC =BC

M<ECA =M<DCB "V.O.A"

THEN triangle ACE = triangle BCD

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5. Friday night’s hockey game was attended by 180 students. This is about 60% of the school’s population. What is the total popu
Ugo [173]
180*60%=180*60/100=10800/100=108
180+108=288
So the total population os school is 288 students!
If you have any questions ask down below!
6 0
2 years ago
Pls help <br><br> Thank you ❤️
nikdorinn [45]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem
Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = <em><u>population proportion</u></em>.

So, Null Hypothesis, H_0 : p = 0.013      {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, H_A : p > 0.013      {means that this is an unusually high number of faulty modems}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                             T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion faulty modems= \frac{10}{367} = 0.027

           n = sample of modems = 367

So, <u><em>the test statistics</em></u>  =  \frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }

                                     =  2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. <u>Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.</u>

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u><em>we reject our null hypothesis</em></u>.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0
3 years ago
How many different triangles, if any, can be drawn with one 90° angle and side length of 5 cm and 12 cm?
FromTheMoon [43]
Only one triangle is able to be drawn with those measurements and angle

4 0
3 years ago
Read 2 more answers
Cos(x+pi) = 1/2 over the interval [pi/2, pi]
valkas [14]

Answer:B

Step-by-step explanation:

3 0
3 years ago
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