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max2010maxim [7]
3 years ago
12

Point A is located at (1, 5), and point M is located at (−1, 6). If point M is the midpoint of segment AB, find the location of

point B.
Mathematics
1 answer:
sashaice [31]3 years ago
7 0
Ans: B=(-3, 7)

Step by step explanation:
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Please help!! "Quadrilateral ABCD is inscribed in the circle below. Find the measure of all four angles."~!!!!!
expeople1 [14]
For a cyclic quadrilateral
The opposite angles are supplementary (meaning they sum up to 180 °)
I.e (x +20) ° + 3x ° =180 °
20 + 4x = 180
4x=180 - 20
4x = 160
Divide through by 4
x = 40 °

Angle at point A
(2x + 38) = (2(40) + 38) = 118 °

Angle at point B
3x = 3(40) = 120 °

Angle at point D
x + 20 = 40 + 20 = 60 °

Angle at point C
The total angle in a quadrilateral is 360 °
I.e 118 + 120 + 298 +
8 0
2 years ago
What is the absolute value of -7? <br> 1/7<br> -1/7<br> -7<br> 7
Digiron [165]

Answer:

7 :)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A number is K units to the left of 0 on the number line. Describe the location of it's opposites
Nitella [24]
It opposite has to be a positive because the left of zero is negative so if K equals -50 the opposite has to be +50
8 0
3 years ago
Exponential and Logarithmic Functions<br><br>4^x=8^x-1​
Elina [12.6K]

Answer:

x=3

Step-by-step explanation:

4^{x} =8^{x-1} \\(2^{2} )^{x} =(2^{3}) ^{x-1} \\2x=3x-3\\3=x

7 0
2 years ago
A bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The m
solong [7]

Answer:

Both the approach gave the same conclusion:

There is enough evidence to support the claim that the mean waiting time is shorter than six minutes

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 6 minutes

Sample mean, \bar{x} = 5.46 minutes

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 2.475 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu = 6\text{ minutes}\\H_A: \mu < 6\text{ minutes}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{5.36 - 6}{\frac{2.475}{\sqrt{100}} } = -2.5858

a) Use the critical value approach

Now, t_{critical} \text{ at 0.05 level of significance, 99 degree of freedom } = -1.6603Since, the calculated test statistic is less than the critical value of t, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Conclusion:

Thus, there is enough evidence to support the claim that new system reduces the time customers spend waiting for teller service during peak hours from the current 9 to 10 minutes to less than 6 minutes.

b) Use the p-value approach

The p-value can be calculated as:

P-value = 0.0055

Since the p-value is less than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Conclusion:

Thus, there is enough evidence to support the claim that new system reduces the time customers spend waiting for teller service during peak hours from the current 9 to 10 minutes to less than 6 minutes.

5 0
3 years ago
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