Answer:
0.295
Explanation:
Given that:
Total number of modems = 19
Number of defective modem = 3
Non-defective modems = 19 - 3 = 16
Probability of that all selected modems are not defective :
Required outcome / Total possible outcomes
[(16C6) * (3C0)] ÷ 19C6
(8008 * 1) ÷ 27132
8008 / 27132
= 0.2951
Hence,
Probability of accepting the shipment is 0.295
This histogram shows the distribution of exam scores for a class of 33 students. which of the following is the most reasonable estimate for the median 50, 75, or 85?
Answer:
[tex]Median = 75[/tex]
Explanation:
Given
[tex]n = 33[/tex]
See attachment for histogram
Required
Determine the median
Median is calculated as:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{33+1}{2}th[/tex]
[tex]Median = \frac{34}{2}th[/tex]
[tex]Median = 17th[/tex]
From the histogram, the 17th entry fall in the class: 70 - 80
In this case: the median is the average of 70 and 80
So:
[tex]Median = \frac{1}{2}(70 + 80)[/tex]
[tex]Median = \frac{1}{2}(150)[/tex]
[tex]Median = 75[/tex]
PLEASE HELP!!! Which describes the transformation from the pre image to the image.
A. Translation 5 units up
B. Rotation 90 degrees clockwise
C.Reflection over the X axis
D. Translation 5 units down
For a population with a mean of μ=45 and a standard deviation of σ=10,
Question:
For a population with a mean of μ=45 and a standard deviation of σ=10. What is the corresponding z score if it has a score of X = 44?
Answer:
[tex]z = -0.10[/tex]
Explanation:
Given
[tex]\mu = 45[/tex]
[tex]\sigma = 10[/tex]
[tex]x = 44[/tex]
Required
Calculate the z score
This is calculated as:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So:
[tex]z = \frac{44 - 45}{10}[/tex]
[tex]z = \frac{-1}{10}[/tex]
[tex]z = -0.10[/tex]
It has been demonstrated that students with high self-esteem tend to have higher grades than students with low self-esteem. Does this relationship mean that higher self-esteem causes better academic performance? Does it mean that better academic performance causes higher self-esteem? Explain your answer, and identify the general problem that can preclude a cause and-effect explanation
Answer:
yes
Explanation:
because when you pass you tend to believe in your self more and not be afraid to try new problems .
PLEASE HELP!!! Which sequence of transformations results in figures that are similar but not congruent
A. 90 degrees clockwise rotation, translation 5 units to the left
B. Reflection over the X axis, dilation with a a scale factor of 1/2
C. Translation 3 units down, reflection over the y axis
D. Reflection over the x-axis, translation 7 units to the left
Suppose y is inversely proportional to x. If y = –8 when x = –2, find y when x = 32
Answer: 1/2
Explanation:
When y is inversely proportional to x. This implies that:
y = k/x
If y = –8 when x = –2, then the constant of proportionality will be;
y = k/x
-8 = k/-2
k = (-8 × -2)
k = 16
when x = 32, the value of y will be:
y = k/x
y = 16/32
y = 1/2
Describe the sounds, smells, and sights you associate with spring. Write a paragraph with at least 4 sentences.