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Lapatulllka [165]
3 years ago
13

A quadrilateral PQRS is inscribed in a circle as shown below: what is the measure of the angle Q

Mathematics
1 answer:
velikii [3]3 years ago
5 0

Answer:

120.

Step-by-step explanation:

2x+4x=180

(2x+4x)=180

6x=180

6x÷6 = 180÷6

x=30.

Then, Substitute for measurement of angle Q

4*30=120.

<h2><u><em>Angle Q measures 120 degrees.</em></u></h2>
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A bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The m
Lana71 [14]

Answer:

(a) <em>H₀</em>: <em>μ</em> = 10 vs. <em>Hₐ</em>: <em>μ</em> < 10.

(b) The level of significance is 0.05.

Step-by-step explanation:

A new system is used to reduce the time customers spend waiting for teller service during peak hours at a bank.

A single mean test can be used to determine whether the waiting time has reduced.

(a)

The hypothesis to test whether the new system is effective or not is:

<em>H₀</em>: The mean waiting time is 10 minutes, i.e. <em>μ</em> = 10.

<em>Hₐ</em>: The mean waiting time is less than 10 minutes, i.e. <em>μ</em> < 10.

(b)

The information provided is:

\bar x=9.5\\s=2.2\\n=70

Compute the test statistic value as follows:

t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{9.5-10}{2.2/\sqrt{70}}=-1.902

The test statistic value is <em>t</em> = -1.902.

Compute the <em>p</em>-value of the test as follows:

p-value=P(t_{n-1}

               =P(t_{69}1.902)\\=0.031

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level (<em>α</em>).

The <em>p</em>-value obtained is 0.031.

To reject the null hypothesis the value of <em>α</em> should be more than 0.031.

The most commonly used values of <em>α</em> are: 0.01, 0.05 and 0.10.

So, the least value of <em>α</em> at which we can conclude that the wait times have decreased is, <em>α</em> = 0.05.

Thus, the level of significance is 0.05.

6 0
3 years ago
Subtract 5x – 2 from –3x +4. O 2x + 2 o 80 – 6 –80 + 2 -80 + 6 +​
STatiana [176]

Answer:

8x - 6

Step-by-step explanation:

5x - 2 - (-3x + 4)

1) Distribute

5x - 2 + 3x -4

2) Combine like terms

8x - 6

5 0
3 years ago
Read 2 more answers
A month of the year is chosen at random. What is the probability that it has 31 days
pogonyaev

There are 12 months, 7/12 have 31 days. You would have a 7/12 probability of choosing one with 31 days if it is random.

3 0
3 years ago
Read 2 more answers
Can someone solve this please
Elanso [62]
Question 47= 33 ounces
Question 48= 98 Fahrenheit
Question 49= 127 millimeters
Last question= 2 inches
7 0
3 years ago
Y=-×+1 and y=2×+4 how many solutions when graphed
dedylja [7]

Answer:

One solution (-1,2)

Step-by-step explanation:

Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.

To find that solution, we can simply set the equations equal to each other.

y = -x + 1

y = 2x + 4

-x + 1 = 2x + 4

-3 = 3x

-1 = x

Now plug that value back into one of the equations:

y = -x + 1

y = -(-1) + 1

y = 2

So now you know the crossing for these two equations occurs at (-1,2).

Cheers.

3 0
3 years ago
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