Answer:
Step-by-step explanation:
y = 3.25x + 1.25
1.25 is y-intercept
3.25 is the slope of a graph.
If x = 0, then y = 1.25
(0, 1.25)
If x = 3, then y = 3.25(3) + 1.25 = 11
(3, 11)
Answer:
Therefore the required ways are =190
Step-by-step explanation:
Combination: Combination is the number of selection of items from a collection of items where the order of selection does not matter.
Total number of smartphones =22
Defective phone = 2
Non defective phone = (22-2) =20
The control inspector randomly test 4 smartphones of which 2 are defective.
Non defective phone = 2
The ways to select 2 non defective phone is

The ways to select 2 defective phone is= 
Therefore the required ways are = (190×1) =190
Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is of
.
- The standard deviation is of
.
- Sample of 100, hence

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:
Z = -2:

By the Central Limit Theorem




Z = 2:




The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213
Answer:
<em>(D). x = 2 , y = - 5</em>
Step-by-step explanation:
A = - 8 + 48 = 40
= -76 + 156 = 80
= 104 - 304 = - 200
<em>x =</em>
= <em>2</em>
<em>y =</em>
= <em>- 5</em>
<u><em>( 2, - 5 )</em></u>