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Sergio [31]
2 years ago
6

What of the angle is the vertex?

Mathematics
1 answer:
Gala2k [10]2 years ago
8 0

Answer:

Vertex: The common end point at which the two rays meet to form an angle is called the vertex. Here, the point O is the vertex of ∠AOB. We can find angles in various things around us, such as in a pair of scissors, a hockey stick, a chair.

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A bank branch located in a commercial district of a city has the business objective of improving the process for serving custome
choli [55]

Answer:

We conclude that the mean waiting time is more than or equal to 5 minutes at 5% level of significance.

Step-by-step explanation:

We are given that waiting time is defined as the time the customer enters the line until he or she reaches the teller window.  

A random sample of 15 customers is selected. Results found that the sample mean waiting time was 4.287 minutes with a sample standard deviation of 1.638 minutes.

Let \mu = <u><em>mean waiting time.</em></u>

SO, Null Hypothesis, H_0 : \mu \geq 5 minutes     {means that the mean waiting time is more than or equal to 5 minutes}

Alternate Hypothesis, H_A : \mu < 5 minutes      {means that the mean waiting time is less than 5 minutes}

The test statistics that would be used here <u>One-sample t-test statistics</u> 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 waiting time = 4.287 minutes

            s = sample standard deviation = 1.638 minutes

            n = sample of customers = 15

So, <u><em>the test statistics</em></u>  =  \frac{4.287 -5}{\frac{1.638}{\sqrt{15} } }  ~ t_1_4

                                       =  -1.686

The value of t test statistics is -1.686.

Since, in the question we are not given the level of significance so we assume it to be 5%. <u>Now, at 5% significance level the t table gives critical value of -1.761 at 14 degree of freedom for left-tailed test.</u>

Since our test statistic is more than the critical value of t as -1.686 > -1.761, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the mean waiting time is more than or equal to 5 minutes.

5 0
3 years ago
I need help plzzz<br><br> -6p + 19 &gt; 7
Jet001 [13]

Answer:

p < 2

Step-by-step explanation:

hope this is right and have a good day

7 0
3 years ago
If mAD
bija089 [108]

Answer:

36

Step-by-step explanation:

you add the first two the order of operations then you do big and little

7 0
2 years ago
If the diagonal of a square is approximately 12.73, what is the length of its sides?
Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

D^{2} = L^{2} + L^{2}

Solving further, we have

D^{2} = 2L^{2}

Divide both sides by 2

\frac{D^{2}}{2} = \frac{2L^{2}}{2}

\frac{D^{2}}{2} = L^2

Take Square root of both sides

\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}

\sqrt{\frac{D^{2}}{2}} = L

Reorder

L = \sqrt{\frac{D^{2}}{2}}

Now, the value of L can be calculated by substituting 12.73 for D

L = \sqrt{\frac{12.73^{2}}{2}}

L = \sqrt{\frac{162.0529}{2}}

L = \sqrt{{81.02645}

L = 9.001469325

L = 9.0015 (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0
3 years ago
Name two triangles that are congruent by the ASA Postulate.
lubasha [3.4K]
Is there a picture to this question?
8 0
3 years ago
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