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Graph 8x - 2y = -16.
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Complete Question

Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

           x        1        2         3           4          5

         P(x)      0     0.31     0.12     0.23       0.4

Answer:

The value is  [tex]\sigma = 0.89[/tex]

Step-by-step explanation:

From the question we are told that

  The probability distribution is  

           x        1        2         3           4          5

         P(x)      0     0.31     0.12     0.23       0.4

So

           [tex]x^2[/tex]     1           4         9          16           25  

Generally the mean is mathematically represented as

            [tex]E(X) = \sum [x * P(x)][/tex]

=>         [tex]E(X) = (1 * 0) + (2 * 0.31 ) + (3 * 0.12 ) + (4 * 0.23) + (5 * 0.4 )[/tex]

=>         [tex]E(X) = 3.9[/tex]

Generally  

      [tex]E(X^2) = \sum [X^2 * P(x)][/tex]

=>   [tex]E(X^2) = (1 * 0) + (4 * 0.31 ) + (9 * 0.12) + (16 * 0.23) + (25 * 0.4)[/tex]

=>   [tex]E(X^2) =16[/tex]

Generally the variance of this probability distribution is

      [tex]V(X) = E(X^2) - [E(X)]^2[/tex]

     [tex]V(X) = 16 - 3.9^2[/tex]

    [tex]V(X) = 0.79[/tex]

Generally the standard deviation of this probability distribution is  

       [tex]\sigma = \sqrt{V(x)}[/tex]

=>    [tex]\sigma = \sqrt{0.79}[/tex]

=>    [tex]\sigma = 0.889[/tex]

Answer:

Possibly A, cause you didn't give the first number.

I CAN'T UNDERSTAND PLEASE REPEAT THE QUESTION

The equation of the line that passes through the point (-6, -2) and has a slope of -1/6 will be y = -(1/6)x - 3.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope is - 1/6. Then the equation is given as,

y = -1/6 x + c

The equation passes through (-6, -2). Then we have

-2 = - (1/6) (-6) + c

- 2 = 1 + c

c = - 3

Then the equation is given as,

y = - (1/6)x - 3

The equation of the line that passes through the point (-6, -2) and has a slope of -1/6 will be y = -(1/6)x - 3.

More about the linear equation link is given below.

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Step-by-step explanation:

Given the values  9.657 and 6.475. Before we can know how much smaller is the 7 in the second number compare to the first, we need to get their place values first.

For 9.657

The place value of 7 in this value is 7 thousandth

7 thousandth = 7/1000 = 0.007

For 6.475

The place value of 7 in this value is 7 hundredth

7 hundredth= 70/1000 =7/100 = 0.07

Hence the value of 7 in the first is smaller that that of the second.TO know by how much, we will take the ratio of the two values

Find their ratios:

0.07/0.007 = 7/100 ÷ 7/1000

= 7/100×1000/7

= 7000/700

= 10

This means that the place value of 7 in 9.657 is 10 times smaller than the value of 7 in 6.475

The answer would be 80 because 252+x/4 =83 x=80

Hope this helps

Have a great day/night

Feel free to ask any questions

The lowest score that Gil can earn on the fourth and final test of the term if he wants to have an average of at least 80.

What is average?
The ratio of total sum in a given set to all the values in the data set is the mean value, which is the definition of the average. In mathematics, the central value of the a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to a number of units in the list. In terms of statistics, the term "mean" also refers to the average of a particular set of numerical data. The average of 2, 3, and 4 is, for instance, (2+3+4)/3 = 9/3 = 3. The central value of 2, 3, and 4 in this instance is 3, so. Finding the mean value of the a group of numbers is the definition of average.

According to question,
[tex]\frac{86+88+78+x}{4} = 83[/tex]⇒ [tex]x = 80[/tex]
Hence, Gill can score 80.

Learn more about average from the link.
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9514 1404 393

Answer:

  40 units²

Step-by-step explanation:

You can figure the side lengths using the distance formula, or you can use a formula for finding area from coordinates. The latter looks like ...

  [tex]\displaystyle A=\dfrac{1}{2}\left|\sum\limits_{k=1}^n{x_k(y_{k-1}-y_{k+1})}\right|\qquad\text{where $y_0=y_n$ and $y_{n+1}=y_1$}[/tex]

So, the area is ...

  A = (1/2)|(-6(-5-1) +2(-1-7) +2(1-3) +3(7+3) +3(3+5) -5(-3+1)|

  = (1/2)|36 -16 -4 +30 +24 +10| = (1/2)(80)

 A = 40

The area of the figure is 40 units².

The p-value for the test statistic: [tex]Z_o=-1.96[/tex] is 0.025.

In statistics, the p-value is a measure that quantifies the strength of evidence against a null hypothesis. It represents the probability of observing a result as extreme as, or more extreme than, the one obtained in a statistical test, assuming that the null hypothesis is true.

The null hypothesis, denoted as H₀, represents the default or initial assumption that there is no significant difference or relationship between variables or no effect of a treatment. The alternative hypothesis, denoted as H₁, suggests the existence of a significant difference or relationship.

The p-value for the test statistic: [tex]Z_o=-1.96[/tex]:

p-value = P{[tex]Z_o < -1.96[/tex]}

             = 0.025.

So, the required p-value is 0.025.

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The complete question is given below:

For The Hypothesis Test H0:-7 Against H 1: 7 And Variance Known, Calculate The P Value For The Following Test Statistic: [tex]Z_o < -1.96[/tex]. Round your answer to three decimal places (e.g. 98.765).

Answer:

She delivers 6 pizzas in 1 hour

She delivers 30 pizzas in 5 hours

Step-by-step explanation:

1 hour = 6 pizza deliveries

30 pizza deliveries = 5 hours

Answer:

$29.01

Step-by-step explanation:

According to my calculations, an item with an original price tag of $82.88 that is marked down by 35% will have a sales price of $53.87 -- a savings of $29.01.

(1 - (30 / 100)) * $30.00

Sale Price = (1 - 0.30) * $30.00

Sale Price = 0.70 * $30.00

Sale Price = $21.00

Answer:

The correct answer is -28.24

Answer:

Unit rate: 56.67 miles per hour

9 hours: 510 miles

plz mark brainliest :DD

Answer:

1. 56.66666667

2.504

Step-by-step explanation:

Answer:

−21.573x

Step-by-step explanation:

simplify it

Answer:

7 large boxes and 2 small boxes

Step-by-step explanation:

if you take 350 and times it by 7 you get 2450 then add 2 small boxes which are 50 each and you have 2550 and 5 more large boxes then small

The contractor purchased 2 no. of small boxes and 7 large boxes.

A linear equation is an algebraic equation of highest degree 1.

According to the given question A contractor needs to buy nails to build a house.

The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails.

The contractor bought 5 more large boxes than small boxes,So assuming he bought x no. of small boxes.

∴ He bought (x+5) nos. of large boxes.

So, 50(x) + 350(x+5) = 2550.

50x + 350x + 1750 = 2550.

400x = 2550 - 1750.

400x = 800.

x = 2.

∴ Large no. of boxes he purchased is 7.

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Answer:

98/2

Step-by-step explanation:

The numbers in 14 divided by 2/7 are labeled below:

14 = whole number

2 = numerator

7 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

14 x 7

2

 =    

98

2

Thus, the answer to 14 divided by 2/7 in fraction form is:

98

2

To make the answer to 14 divided by 2/7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

98 / 2 = 49

The answer is rounded to the nearest two decimal points if necessary.

98/2 can be simplified to 49/1.

49/1 is an improper fraction and should be written as 49.

the simplest form of 14 divided by 2/7 is 49.

To divide 14 by 2/7, we can convert the division operation into multiplication by taking the reciprocal (flipping) of the divisor. The reciprocal of 2/7 is 7/2. So, we have 14 multiplied by 7/2.

To simplify this further, we can cancel common factors between the numerator of 14 and the denominator of 2. Both 14 and 2 share a common factor of 2. Dividing both by 2, we get 7 and 1 respectively.

Therefore, the division 14 divided by 2/7 simplifies to 7 multiplied by 7/1, which equals 49. Thus, the simplest form of 14 divided by 2/7 is 49.

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Answer:

Use your calculator, its 57 meters.

Step-by-step explanation:

380/20 = 19

19x3=57

Answer:

12000

Step-by-step explanation:

If you mean one side of the stepping stone is 20 inches then you would multiply 20 by 20 to get the area of one, since that would be multiplying length times width (the area formula). The area of one would result in 400 and you would then multiply this by the thirty tiles (400 times 30) to get 12000.

Answer:

12000

Step-by-step explanation:

Answer:

multiply 12x65, then multiply that by 1,000 to get 780,000

Step-by-step explanation:

Answer:

7 meters

Step-by-step explanation:

One meter is about 40 inches and 276/40 = 6.9

6.9 roundest to the closest tenth is 7

Answer:

B

Step-by-step explanation:

It correctly represents the situation as it shows that for each adult, you pay 29.35 more and 17.45 for each child.

Answer:

2. m∠1 = 129°

3. m∠1 = 37°

Step-by-step explanation:

We know that the sum of all interior angles in a triangle adds up to 180°.

2. To find measure 1 for problem 2, we can see that ∠1 is a supplementary angle with the interior angle in side

180°-(67°+62°)

180°-129°

51°

Now that we found the missing interior angle, we can find ∠1

180°-51° = 129°

m∠1 = 129°

3. Same thing as well for this problem except we're going to be going reverse we need to find the supplementary angle first, then we can find m∠1.

180°-152° = 28°

Now that we found the interior angle, we can find m∠1

180° - (115°+28°)

180°-(143°)

37°

m∠1 = 37°

Answer: y=-5x+2

Step-by-step explanation: Luckily for you, they already pretty much gave you all the information you need for this problem. Keep in mind that the standard form for linear equations is y=mx+b, where m is slope and b is figure 0, or the y-intercept. So, all you have to do is substitute the values for the given information. You know that -5 is the slope, m, and (0,2) is the y-intercept, or b (you know that this is the y-intercept because x is at zero). So, you'd be left with y=-5x+2.

Hope this helps,

Lacia :)

Answer:

22 feet per second

Step-by-step explanation:

The speed on the zip line is 22 feet per second.

let's use the conversion rate below

1 miles  = 5280 foot

1 hour = 3600 seconds

The  rate is measured in miles per hour. Let's convert it to feet per seconds. Therefore,

Let convert the distance first

1 miles  = 5280 foot

15 miles = ?

cross multiply

distance in miles = 5280 × 15 = 79200 foots

let convert the hours to seconds

3600 seconds = 1 hour

Therefore,

speed in foot per seconds = 79200 / 3600 = 22 ft/secs

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