Find the common difference of the arithmetic sequence shown.

If 28% of students in College are near-sighted, the probability that in a randomly chosen group of 20 College students, exactly

cluponka [151]

Answer: (D) 16%

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_xp^x(1-p)^n-x$ , where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.

Given : The proportion of students in College are near-sighted : p= 0.28

Sample size : n= 20

Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

$P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%$

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.

7 0

3 years ago

The following data show the weight, in ounces, of 10 different bags of candy:

LuckyWell [14K]

B) is correct; on average, each bag of candy has a weight that is 2.6 oz different than the mean weight of 5 oz.

To find the mean absolute deviation, we first find the mean. Find the sum of the data points and divide by the number of data points (without the outlier, 21, in it):
(10+3+7+3+4+6+10+1+2+4)/10 = 50/10 = 5

Now we find the difference between each data point and the mean, take its absolute value, and find their sum:
|10-5|+|3-5|+|7-5|+|3-5|+|4-5|+|6-5|+|10-5|+|1-5|+|2-5|+|4-5| =
5+2+2+2+1+1+5+4+3+1 = 26

We now divide this by the number of data points:
26/10 = 2.6

This is a measure of how much each bag of candy varies from the mean.

4 0

3 years ago

Read 2 more answers

Factor:14x3 – 21x

Vlada [557]

7x (2x^2 - 3) is your answer my dude/lady

7 0

2 years ago

Please help:) with my math it’s Quadratic Functions

vaieri [72.5K]

Answer:

Part A: 2531.25; It means the maximum amount of profit that can be obtained at a specific amount of price reduction (x-value) for the shirts' market price.

Part B: (0,2500); It represents the profit that can be made by reducing $0 in the shirts' price.

Part C: Yes, it has a zero. Its zero is (25,0) and that represents the amount of profit made by reducing $25 from the price of each shirt being sold, which means if it sells for $0 by reducing $25 from the price of each shirt, then the x-coordinate must also represent the original price of each shirt, $25.

Step-by-step explanation:

Part A: Look at the graph! The highest y-value should be the maximum of each graph, which can be located at the vertex of a quadratic function. In this graph, the vertex is (2.5, 2531.25), where which its y-value contains the highest point of a graph, since the graph is concave down.

$y=a(x-2.5)^{2} +2531.25\\$

$0=a(25-2.5)^{2} +2531.25\\$

$a(22.5)^{2} =-2531.25$

$506.25a =2531.25$

$a=-5$

$y=-5(x-2.5) ^{2}+2531.25$

$y=-5(0-2.5)^{2} +2531.25$

$y=-31.25+2531.25$

$y=2500$

y-intercept: $(0,2500)$

The graph only has a zero if the function touches the x-axis, also known as the line, $y=0$ . In this case the graph does intersect the x-axis at the point, $(25,0)$ . Therefore, it has a zero, and the value of the x coordinate at the zero is 25. This value represents the profit generated from reducing the price of each shirt by $25, which is $0. Therefore, this also represents the original price of each shirt without any price reduction, since there is no profit made by completely reducing the price of each shirt at that specific point in the graph, which is 25 or $25. Therefore, this displays that.

4 0

3 years ago

How to solve this?? (-4)-(-8)+(-4)

kirill115 [55]

(-4) - (- 8) + (- 4)
- 4 - (- 8) + (- 4)
- 4 + 8 + (- 4 )
- 4 + 8 - 4
= 0

6 0

1 year ago

Read 2 more answers