Here are 10 test scores: 50, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these scores is 76. How does removing the outlier 50 affect the mean?A.
The set has 50 as an outlier and removing it decreases the mean by about 6.
B.
The set has 50 as an outlier and removing it decreases the mean by about 2.
C.
The set has 50 as an outlier and removing it increases the mean by about 3.
Answers
The set has 50 as an outlier and removing it increases the mean by about 3.
Since 50 is significantly smaller number than all others, it is expected that removing 50 will increase the mean.
The first mean is 76:
The mean after removing 50 is:
X₂ ≈ 79
The difference between the second and the first mean is 79 - 76 = 3, thus
removing 50 as an outlier increases the mean by about 3.
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6(7a-10)= 42a-60
hence the answer is, 42a-60
Answers
The probability that all cards are the same suit is 33/16660 if the standard deck of cards has 52 members consisting of 4 suits each with 13 members (2, 3, …, 10, j, q, k, a).
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
A standard deck of cards has 52 members consisting of 4 suits each with 13 members (2, 3, …, 10, j, q, k, a)
Five cards are dealt from the randomly mixed deck.
P(5 cards are from same deck) = 4(13/52)(12/51)(11/50)(10/49)(9/48)
P(5 cards are from same deck) = 33/16660
Thus, the probability that all cards are the same suit is 33/16660 if the standard deck of cards has 52 members consisting of 4 suits each with 13 members (2, 3, …, 10, j, q, k, a).
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Answer: 33/16660
Answers
∴((8w²) × (2w+8) × w
(16w³ × 64w²) × w
Answers
The length of the other leg of a right angle triangle is, 10.95 units
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A right angle triangle has a hypotenuse of length 13 units and a leg of length 7 units.
Now, By the Pythagoras theorem, we get;
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ 13² = 7² + Base²
⇒ 169 = 49 + Base²
⇒ Base² = 169 - 49
⇒ Base² = 120
⇒ Base = √120
⇒ Base = 10.95 units
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(7)² + B² = 13²;
49 + B² = 169;
B² = 130;
B = 11.40
The length of the other leg is 11.40.
B. (12,18)
C. (6,8)
D. (8,12)
Answers
Answers
The correct options are A and C because irrational numbers are nonterminating and nonrepeating.
Given:
Some statements for irrational numbers are written in decimal form.
Explanation:
Rational number: A rational number can be defined in the form of . Rational numbers are either terminating or repeating decimal numbers.
Examples: etc.
Irrational number: An irrational number cannot be defined in the form of . Irrational numbers are nonterminating and nonrepeating decimal numbers.
Examples: etc.
Therefore, the correct options are A and C.
Learn more:
The correct answers are
A. Irrational numbers are nonterminating; and C. Irrational numbers are nonrepeating.
Explanation:
Irrational numbers are numbers that cannot be written as rational numbers, or fractions.
Terminating decimals have a specific endpoint; this means we can find the place value of the last digit of the number and write it as a fraction (if it ends in the tenths place, it is a fraction over 10; if it ends in the hundredths place, a fraction over 100; etc.).
Repeating decimals can also be written as a fraction; for example, 0.3 repeating is 1/3; 0.6 repeating is 2/3; 0.1 repeating is 1/9; etc.
This means that irrational numbers must be nonrepeating and nonterminating.