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2 years ago

A) Complete the table of values for x + 2y = 7

Mathematics

2 answers:

lozanna [386]2 years ago

7 0

Answer:

4.5 , 4 , 3.5 , 3 , 2.5 , 2

Step-by-step explanation:

It's really easy

we need to replace value of 'x' in x+2y=7 by the given values and find the value of y and write it in the table

so first the value of x is -2

replacing value of x by -2

x+2y=7

or, -2+2y=7

or, 2y = 7+2

or, y= 9/2

or, y= 4.5

and we do the same process for other values of x and y

Marrrta [24]2 years ago

3 0

The values for y are as follows
4.5, 4, 3.5, 3, 2.5, 2

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2 years ago

The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The di

babunello [35]

Solution:

$Z score =\frac{X-\sigma}{\mu}$

1. For Best Actor

$X_{1}$ = 59 years

$\sigma=7.3, \mu=42.0$

Z, Score for best actor named, $Z_{1}$

$Z_{1}=\frac{59-7.3}{42}\\\\Z_{1}= \frac{51.7}{42}\\\\Z_{1}=1.23095\\\\ Z_{1}=1.24$

Z-Score for best actor = 1.24

2. Z , Score for best supporting actor , called $Z_{2}$

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Z-Score for best supporting actor = 0.70

Z-Score is usually , the number of standard deviations from the mean a point in the data set is.

3. As, $Z_{1}=1.24$

So, we can say that,Option (B) The Best Actor was more than 1 standard deviation above is not unusual.

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8 0

2 years ago

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

Sophie [7]

Answer:

Variance =10900.00

Standard deviation=104.50

Step by step Explanation:

Admissions Probability for 1100= 0.2

Admissions Probability for 1400=0.3

Admissions Probability for 1300 =0.5

To find the expected value, we will multiply each possibility by its probability and then add.

mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290

To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.

E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000

Variance(X)=E(X²)- [E(X)]²

= 1675000 - (1290)²

=10900

Hence, the Variance(X)=10900

Then to calculate the standard variation , we will use the formular below,

standard variation (X)=√ var(X)= √10900

=104.5

Hence the standard variation=104.5

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