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user100 [1]
2 years ago
10

3. The angles on a quadrilateral must total 360° Find the measurement of the missing angle. 100 105 84​

Mathematics
1 answer:
AlladinOne [14]2 years ago
6 0

Answer:

71 degrees.

Step-by-step explanation:

Add all the measures available!

- 100+105+84 = 289.

Sum - Measures available.

360-289 = 71 degrees!

(∩^o^)⊃━☆

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Whats the answer.......waiting
7 0
3 years ago
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The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than av
34kurt

Answer:

Probability that the 50 randomly selected laptops will have a mean replacement time of 3.1 years or less is 0.0092.

Yes. The probability of this data is unlikely to have occurred by chance alone.

Step-by-step explanation:

We are given that the replacement times for the model laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years.

He then randomly selects records on 50 laptops sold in the past and finds that the mean replacement time is 3.1 years.

<em>Let M = sample mean replacement time</em>

The z-score probability distribution for sample mean is given by;

            Z = \frac{ M-\mu}{\frac{\sigma}{\sqrt{n} } }} }  ~ N(0,1)

where, \mu = population mean replacement time = 3.3 years

            \sigma = standard deviation = 0.6 years

            n = sample of laptops = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the 50 randomly selected laptops will have a mean replacement time of 3.1 years or less is given by = P(M \leq 3.1 years)

 P(M \leq 3.1 years) = P( \frac{ M-\mu}{\frac{\sigma}{\sqrt{n} } }} } \leq \frac{ 3.1-3.3}{\frac{0.6}{\sqrt{50} } }} } ) = P(Z \leq -2.357) = 1 - P(Z \leq 2.357)

                                                           = 1 - 0.99078 = <u>0.0092</u>  or  0.92%          

<em>So, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.357 in the z table which will lie between x = 2.35 and x = 2.36 which has an area of 0.99078.</em>

Hence, the required probability is 0.0092 or 0.92%.

Now, based on the result above; <u>Yes, the computer store has been given laptops of lower than average quality</u> because the probability of this data is unlikely to have occurred by chance alone as the probability of happening the given event is very low as 0.92%.

8 0
3 years ago
One of the factors of 2d2 + 5d - 12 is d + 4 ,which of the following the other factor?​
guapka [62]

Answer:

2d-3

Step-by-step explanation:

it may help you to understand

4 0
2 years ago
©
mafiozo [28]

Answer:

She bought 2 videos and 8 CDs.

4 0
3 years ago
I will mark brainliest to whoever gets this answer! Please help!
lisov135 [29]

Answer:

20 yd²

Step-by-step explanation:

This problem is really easy once you break it down!

First, find the area of the triangle.

A = \frac{1}{2}bh

b = 5 + 3 = 8

h = 4 + 4 = 8

A = \frac{1}{2}*8*8

A = 32

Now find the area of the square.

A = lw

A = 4*3

A = 12

The last step is to subtract.

Area of triangle - area of rectangle =

32 - 12 = 20

20 yd²

Hope this helped! :)

4 0
3 years ago
Read 2 more answers
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