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Arada [10]
2 years ago
9

Determine the value of x, then y,and finally z

Mathematics
1 answer:
Monica [59]2 years ago
6 0
28 + 39 + x = 180
67 + x = 180
x = 113

113 + y = 180
y = 67

64 + 67 + z = 180
131 + z = 180
z = 49
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HELP!!<br> Which table is a probability distribution table?
fomenos

Answer:

Table 1 is the only table which represents PROBABILITY DISTRIBUTION table.

Step-by-step explanation:

In any given probability distribution:

1) The probability of each event should be strictly POSITIVE.

2) Sum of all events in a a distribution should be 1.

Now, here

A) All of the values of probability (0.11, 0..5, 0.49,0.35)  are positive.

Also, 0.11 +  0.5 +  0.49 + 0.35  = 1

So, the given table is a PROBABILITY DISTRIBUTION.

B)The table is NOT a PROBABILITY DISTRIBUTION as here

P(Blue) =  -1, which is negative.

C)The table is NOT a PROBABILITY DISTRIBUTION as here

P(Green) =  -0.49, which is negative.

D)The table is NOT a PROBABILITY DISTRIBUTION as here

P(Purple) =  -0.1, which is negative.

Hence, table 1 is the only table which represents  PROBABILITY DISTRIBUTION table.

3 0
3 years ago
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,280 ft Determine the flag's width and
GarryVolchara [31]

Answer:

use area to help solve

Step-by-step explanation:

5 0
3 years ago
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Find the measure of angle ADE.
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The answer is 135 degrees as 45 add 135 equals 180 degrees as it's a straight line
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A consensus forecast is the average of a large number of individual analysts' forecasts. Suppose the individual forecasts for a
zaharov [31]

Answer:

a) P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)

And we can find this probability using the complement rule:

P(z>-1.25)=1-P(z

b) P(X

And we can find this probability uing the normal standard table:

P(z

c) P(3.5

And we can find this probability with this difference:

P(-1.25

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-1.25

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(5,1.2)  

Where \mu=5 and \sigma=1.2

We are interested on this probability

P(X>3.5)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)

And we can find this probability using the complement rule:

P(z>-1.25)=1-P(z

Part b

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability uing the normal standard table:

P(z

Part c

P(3.5

And we can find this probability with this difference:

P(-1.25

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-1.25

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3 years ago
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skad [1K]
Zack will arrive at his office at 7:25 A.M.
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