For a certain​ candy, 15​% of the pieces are​ yellow, 5​% are​ red, 20​% are​ blue, 20​% are​ green, and the rest are brown. ​a) if you pick a piece at​ random, what is the probability that it is​ brown? it is yellow or​ blue? it is not​ green? it is​ striped?

Hence, x=-2 and y=4 are the answers to the system of equations.

Why do people utilise coordinate geometry?

For the purpose of connecting algebra and geometry with the aid of line and curve graphs, coordinate geometry is necessary. Finding points on a plane is a crucial component of mathematics. It also has a number of uses in other scientific fields such dimensional geometry, calculus, and trigonometry. Use y=-2x in place of x in the first equation:

5x - 9(-2x) = -46

Simplify and find x's value:

5x + 18x = -46

23x = -46

x = -2

We can use the second equation to get y now that we know the value of x:

y = -2x = -2(-2) = 4

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Answer:

a) d: 1  2  0  0  2

b)

c)

d)

So the p value is lower than the significance level provided, so then we can conclude that we reject the null hypothesis that the difference mean between population 1 and 2 is less than 0. And we can say that the mean difference is higher than 0 at 5% of significance.  

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations (This problem) we can use it.  

Let put some notation  

x=Population 1 , y = population 2

x: 21  28  18  20  26

y: 20 26  18  20  24  

a. Compose the difference valuefor each element

Let d =x-y, so the values for the difference are:

d: 1  2  0  0  2

b. Compute d.

We need the mean for the difference. If we use the following formula we got:

c.Compute the standard deviation sd.

For the standard deviation we can use the following formula:

d.Conduct a hypothesis test using α=.05.What is yourconclusion?

If we assume that the system of hypothesis for this case are:

Null hypothesis:

Alternative hypothesis:

We can calculate the statistic given by :

The next step is calculate the degrees of freedom given by:

Now we can calculate the p value, since we have a right tailed test the p value is given by:

So the p value is lower than the significance level provided, so then we can conclude that we reject the null hypothesis that the difference mean between population 1 and 2 is less than 0. And we can say that the mean difference is higher than 0 at 5% of significance.  

Final answer:

To complete this hypothesis test, calculate the difference value for each element, compute the sample mean difference (d), calculate the standard deviation (sd), and then conduct the hypothesis test using a significance level of α = 0.05.

Explanation:

To compute the difference value for each element, subtract the second value from the first value for each pair. For example, the difference for the first pair is 1-2 = -1. Repeat this for each pair of elements in the data set.

To compute the sample mean difference (d), add up all the difference values and divide by the total number of pairs. In this case, d = (-1 + 1 + 2 + 0 + 2)/5 = 0.8.

To compute the standard deviation (sd), first calculate the squared difference value for each pair and sum them up. Then divide the sum by (n-1), where n is the total number of pairs. Finally, take the square root of the result. In this case, sd = sqrt(((1-0.8)^2 + (2-0.8)^2 + (0-0.8)^2 + (2-0.8)^2)/4) = 1.32.

For the hypothesis test, we compare the sample mean difference (d) to the population mean difference (μd) under the null hypothesis. The null hypothesis states that there is no difference between the two populations. If the difference between d and μd is statistically significant at a significance level of α = 0.05, we reject the null hypothesis and conclude that there is a significant difference between the two populations. Otherwise, we fail to reject the null hypothesis.

Without information about the population mean difference (μd), we cannot perform the hypothesis test or draw a conclusion.

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Answer:

32

Step-by-step explanation:

so because there is 1 cup of  kernels which makes 4 cups of pop corn and there are 8 cups of crenels you would multiply 8 and 4.

Final answer:

The roots of the equation 9x² - 29x - 28 = 0 are x = 4 and x = -0.78.

Explanation:

The equation given is a quadratic equation. To solve it, we can use the quadratic formula: x = [-b ± sqrt(b²-4ac)] / (2a), where a, b, and c are coefficients of the quadratic equation. In your equation, a=9, b=-29, and c=-28.

So now, we substitute these values into the quadratic formula:
x = [29 ± sqrt((-29)²-4*9*(-28))] / (2*9)
Solving inside the square root first, we get:
x = [29 ± sqrt(841+1008)] / 18
x = [29 ± sqrt(1849)] / 18
Continue to simplify and you get:
x = [29 ± 43] / 18, which gives us two possible solutions:
x = 72 / 18 = 4
and
x = -14 / 18 = -0.78 (to two decimal places).

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Answer:

x = 4 or x = 0.78

Step-by-step explanation:

9x² – 29x – 28 = 0

2 roots: x = ((-(-29) ± √(-29)² - 4 x 9 x (-28)) / (2 x 9)

               = (29 ± √841 + 1008) / 18

               = (29 ± 43) /18

x = 72 /18 = 4     or

x = -14 /18 = - 0.78

Answer with explanation:

Average Height of tallest Building in San Francisco

Average Height of tallest Building in Los Angeles

→→Difference between Height of tallest Building in Los Angeles and  Height of tallest Building in San Francisco

               =233.9-197.8

               =36.1

⇒The average height of the 10 tallest buildings in Los Angeles is 36.1 more than the average height of the tallest buildings in San Francisco.

⇒Part B

Mean absolute deviation for the 10 tallest buildings in San Francisco

 |260-197.8|=62.2

 |237-197.8|=39.2

 |212-197.8|=14.2

 |197 -197.8|= 0.8

 |184 -197.8|=13.8

 |183-197.8|=14.8

 |183-197.8|= 14.8

 |175-197.8|=22.8

 |174-197.8|=23.8

 |173 -197.8|=24.8

Average of these numbers

Mean absolute deviation=23.12

Answer:

1st -36.1 meters or more

2nd -23.12

Step-by-step explanation:

Answer:

40,000

Step-by-step explanation: