Answer:
440
Step-by-step explanation:
Prime factors of 40 = 2 x 2 x 2 x 5
Prime factors of 220 = 2 x 2 x 5 x 11
Common factors = 2² x 5
Prime factors of 40 (excluding common factors with 220) = 2
Prime factors of 220 (excluding common factors with 40) = 11
Multiply the common factors with remaining factors
2² x 5 x 2 x 11
= 440
Answer:
Step-by-step explanation:
Volume of the stack of paper is 140.25 cubic inches
The length and width of the stack will be equal to that of a single sheet of paper so
Let be the height of the stack.
Volume of the stack would be
So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.
Thickness of one sheet of paper is given by
Hence, the height of each sheet of paper is .
Answer:
61°
Step-by-step explanation:
∠SPQ is a straight line, so it equals to 180°.
∠SPR is 119° and since we're looking for ∠QPR, we subtract 119° from 180°.
180° - 119° = 61°, so ∠QPR = 61°
Answer:
61 degrees
Step-by-step explanation:
Because SPQ is said to be a straight line, we know that a straight line in this kind of equation is equal to 180 degress.
Since we already know the measure to one angle (119), we would need to find the difference between 180 and 119, meaning we'd have to subtract.
(180-119)
Then we would just get the sum, which in this case, is 61 degrees.
A) 0 to 5 minutes
B) 0 to 18 minutes
C) 0 to 30 minutes
D) 18 to 30 minutes
the data in the table in the attached figure
we know that
Linear model regression is used to predict the relationship between 2 variables by fitting the observed data in a linear equation.
The range of time values that describes the interpolation that Georgianna would be making is from
Because
the minimum value of the time of the data in the table is equal to minutes
the maximum value of the time of the data in the table is equal to minutes
therefore
the answer is the option
please help i’m so confused
Answer:
-1
Step-by-step explanation:
-isolate everything with x on one side and without x on the other side
-remember if you pass the equal sign change the sign of that term
13x+8x+9x = -22-8
-combine like terms
30x = -30
-divide both sides by 30
x= -1
Answer:
x = -1
Step-by-step explanation:
simplfy to 21x + 8 = -9x -22
add 9x to get 30x + 8 = -22
then subtract 8 to get 30x =-30
divide by 30 and you get x = -1
Answer: The size of the sample is 840.
The probability that the first three letters of the four-letter code are vowels is
Step-by-step explanation:
Th total number of letters given to form code of 4 letters = 7
Since, the order of the letters in the code matters, which means there is no repetition.
The total number of ways to form the code size =
Therefore, The size of the sample is 840.
Since, there are 3 vowels and rest of 4 letters are consonant.
The number of ways to form code such that the first three letters of the four-letter code are vowels =
The probability that the first three letters of the four-letter code are vowels is
=
The probability that the first three letters of the four-letter code are vowels is 1/35 and the size of the sample is 840.
Step 1 - Determine the sample size.
It is to be noted that the total number of letters given to form code of 4 letters = 7
Given that the order of the letters in the code matters, which means there is no repetition; hence,
The total number of ways to form the code size = 7 x 6 x 5 x 4 = 840
Thus, the size of the sample is 840.
Step 2 - Solve for the Probability
Given that there are 3 vowels and rest of 4 letters are consonant.
The number of ways to form code such that the first three letters of the four-letter code are vowels
= 3 x 2 x 1 x 4
= 24
Hence, the probability that the first three letters of the four-letter code are vowels is
= 24/840
= 1/35
Learn more about probability at;
brainly.com/question/24756209
#SPJ5