Answer:
The probability she has none of the risk factors [tex]P(N) = 15.3 \%[/tex]
The probability he has none of the risk factors [tex]P(M) = 19.3 \%[/tex]
Step-by-step explanation:
From the question we are told that
The number of patients enrolled is n = 120,000
The number of international studies is N = 14
The number of years is y = 10 years
The risk factor for women is r = 84.7%
The risk factor for men is R = 80.7%
Generally the probability that she has none of the risk factors is mathematically represented as
[tex]P(N) = 100 - r)\%[/tex]
=> [tex]P(N) = 100 - 84.7)\%[/tex]
=> [tex]P(N) = 15.3 \%[/tex]
Generally the probability that he has none of the risk factors is mathematically represented as
[tex]P(M) = 100 - R)\%[/tex]
=> [tex]P(M) = 100 - 80.7)\%[/tex]
=> [tex]P(M) = 19.3 \%[/tex]
Select the equivalent expression (7/2)^8
A. 7/2^8
B.28
C.7^8/2^8
D.(7-2)^2
Answer:
The answer is A
Step-by-step explanation:
[tex] { (\frac{7}{2} )}^{8} = {7}^{8} \div {2}^{8} [/tex]
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.
- 1/2x+1=7x−14
(the 1/2 is got a - in the middle before it)
Answer:
x=2
Step-by-step explanation:
- 1/2x+1=7x−14
find the nth terms of the sequence with the following first four terms as shown in the table.
________________________
n 1 2 3 4
________________________
an 5 9 13 17
_______________________
Answer:
see explanation
Step-by-step explanation:
Both sequences have a common difference between consecutive terms, that is
2 - 1 = 3 - 2 = 4 - 3 = 1
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 1 , thus
[tex]a_{n}[/tex] = 1 + n - 1 = n
--------------------------------------------------------------------
Similarly
d = 9 - 5 = 13 - 9 = 17 - 13 = 4 and a₁ = 5 , then
[tex]a_{n}[/tex] = 5 + 4(n - 1) = 5 + 4n - 4 = 4n + 1
PLZZ HELP IF RIGHT I LL MART BRAINLYLIST!!!!!
Answer:
The length of C'D' = 2.8
This is because, ABCD is rotated on the point R 55 degrees
So, now, if you turn back the rotation, you will get, that CD = C'D'
Now, CD = 2.8 , So, C'D' = 2.8
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Thank You!!
What is the first step needed to solve (3/4) times -3=-18
Triangle angles review (khan academy)
Find the value of x in the triangle shown below
X = ?
Answer:
The correct answer is 44°
use the binomial theorem to expand (4-2z)^3
Answer:
(
t
+
w
)
4
=
t
4
+
4
t
3
w
1
+
6
t
2
w
2
+
4
t
1
w
3
+
w
4
Explanation:
First, you should get to know Pascal's triangle. Here's a small portion of it up to 6 lines. Basically you're just adding the numbers that are beside each other, then writing the sum below them. (For example,
1
+
2
in the third line equals to
3
in the fourth line.) If you want a better explanation for that, feel free to do some more research on it.
Expansion of ( 4- 2z)³ using binomial expansion is equals to
64 - 96z + 48z² - 8z³.
What is binomial theorem?
" Binomial theorem is a way of expanding a binomial expression with exponent n, where n is any positive integer."
Formula used
Binomial Expansion
(a - b) ⁿ = ⁿC₀ aⁿb⁰+ ⁿC₁ aⁿ⁻¹ (-b)¹ + ⁿC₂ aⁿ⁻² + ....... + (-1)ⁿ ⁿCₙ a° bⁿ
According to the question,
Given,
(4 -2z)³
a = 4
b = 2z
Substitute the value in the formula of binomial expansion we have,
= ³C₀ (4)³ (-2z)⁰ +³C₁ (4)² (-2z)¹ +³C₂ (4)¹ (-2z)² + ³C₃ (4)⁰ (-2z)³
= (4)³ - 3 (4)² (2z) + 3 (4) (2z)² -(2z)³
= 64 -96z +48z² -8z³
Hence, expansion of ( 4- 2z)³ using binomial expansion is equals to
64 - 96z + 48z² - 8z³.
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Multiple-choice test with 50 questions has five possible choices for each question. There are 4 marks for each correct answer, -1 mark for each incorrect answer, and 0 marks for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered
Answer:
Total score of a student = 130 marks
Step-by-step explanation:
Marks for each correct answer = [tex]4[/tex]
Marks for each incorrect answer = [tex]-1[/tex]
Marks for each unanswered question = [tex]0[/tex]
Number of correct answers = 35
Number of incorrect answers = 10
Number of unanswered answers = 5
So,
Total score of a student [tex]=35(4)+10(-1)+5(0)=140-10+0=130[/tex] marks
Answer:
35 correct: 35x4= 140 marks
10 incorrect: 10x -1= -10 marks
5 unanswered: 5x0= 0 marks
140-10+0= 130 marks
Step-by-step explanation:
What is the distance between points (-2,1) and (2,4)?
What is the distance between points (1,2) and (3,4)
Answer:
✓{2-(-2)2+(4-1)2
✓16+9
✓25
5
Step-by-step explanation:
using this formula you may find
✓(x2-x1)2+(y2-y1)2
Answer:
(-2,1) and (2,4) = 5
(1,2) and (3,4) = 2.82
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(6,3) and (0,9)
help please
Plz help me with this ASAP!
Angel H and G are both are 51 degrees, and angle I is 78 degrees.
The two angles (H and G) are equal to each other, but before we know what the angles are, we must find x.
[tex]5x + 6 = 2x + 33[/tex]
[tex]3x = 27[/tex]
[tex]x = 9[/tex]
Plug in x for one equation:
[tex]5x + 6[/tex]
[tex]5(9) + 6[/tex]
[tex] = 51[/tex]
Therefore,
[tex]m < h = 51 \:[/tex]
and
[tex]m < g = 51[/tex]
And because we know the angles within a triangle = 180, we subtract 102 from 180 to find m<I:
[tex]180 - (51 + 51) = [/tex]
[tex]180 - 102 = [/tex]
[tex] = 78[/tex]
the area of the rhombus with diagonal 6.2cm and 10cm is _ square cm
Answer:
31cm².
Step-by-step explanation:
as we know that ,
area of Rhombus equal 1/2 of product of their diagonals .
product of the diagonals equal 6.2*10=62
1/2*62=31cm².
3. Simplify the expression.
4(2x - 3)
ASAP PLS HELP
Answer with step-by-step explanation:
(4 x 2x) - (4 x 3) = 8x - 12
Hope this was helpful!
Answer: 8x + -12
Explanation: Let's simplify this problem using the distributive property.
The first thing we want to do is change the minus to plus a negative.
Now we can distribute or multiply this 4 times
each of the terms inside the set of parenthses.
So we get 4(2x) + 4(-3) and this simplifies to 8x + -12.
Note that if you wrote your answer as 8x - 12, it means the same thing.
pls help it doesn't have the answers
I don't know why doesn't have answers, but I know the answer 7/20.
The answer to the problem 5 x (4 + 1) is called a _____. 2 points
Answer:
25
Step-by-step explanation:
5x(4+1)=
4+1=5
5x5=25
Please respond quickly
Answer:
B. X
Step-by-step explanation:
Each X value can only have one Y value.
2x - (3-x) > x+1 solve
Answer:
x > 2
Step-by-step explanation:
Step 1: Write inequality
2x - (3 - x) > x + 1
Step 2: Solve for x
Distribute negative: 2x - 3 + x > x + 1Combine like terms: 3x - 3 > x + 1Subtract x on both sides: 2x - 3 > 1Add 3 to both sides: 2x > 4Divide both sides by 2: x > 2Here we see that any value x greater than 2 would work as a solution.
Solve for the letter A
Answer:
a=bcd
Step-by-step explanation:
Answer:
a=bcd
Step-by-step explanation:
Let's solve for a.
a
dc
=b
Step 1: Multiply both sides by cd.
a=bcd
Answer:
a=bcd
Consider the highlighted products the common factor is
Answer:
3
Step-by-step explanation:
Find the missing exponent
Steps for solving 4x - 12 = 20 are shown.
Explain how Step 3 helps solve the equation.
4x - 12 = 20
4x-12 +12 - 20 +12
4x = 32
4x32
4 4
X = 8
Original equation
Step 1
Step 2
Step 3
Step 4
A. Multiplying both sides by 4 undoes the division.
B. Dividing both sides by 4 eliminates the variable.
C. Multiplying both sides by 4 isolates the variable.
D. Dividing both sides by 4 isolates the variable.
SUBMIT
For the given equation, in step 3 it is dividing both sides by 4 to eliminate the variable. Hence, option B is correct.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
The step 3 according to the question is,
4x = 32
Dividing both sides by 4,
x = 32/4
x = 8
Therefore, the final result will be x = 8.
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Will MARK BRAINLIEST!!!!! What is the domain of the given function?
{x | x = –6, –1, 0, 3}
{y | y = –7, –2, 1, 9}
{x | x = –7, –6, –2, –1, 0, 1, 3, 9}
{y | y = –7, –6, –2, –1, 0, 1, 3, 9}
From the sum of 3x-4y+5z,2x-7y and 9z-5y subtract -2xy-2y-2z
Answer:
5x - 14y + 16z + 2xy
Step-by-step explanation:
Given expressions:
3x - 4y + 5z
2x - 7y
9z - 5y
-2xy - 2y -2z
Solution:
Sum of 3x - 4y + 5z
2x - 7y
9z - 5y
= 3x - 4y + 5z + 2x - 7y + 9z - 5y
= 3x + 2x - 4y - 7y -5y + 5z + 9z
= 5x - 16y + 14z
Subtract -2xy - 2y -2z
= 5x - 16y + 14z - ( -2xy - 2y -2z )
= 5x - 16y + 14z + 2xy + 2y + 2z
= 5x - 16y + 2y + 14z + 2z + 2xy
= 5x - 14y + 16z + 2xy
25. Willa purchases a vase for her kitchen
that is shaped like a cube and will hold 343
cubic inches of water. What are the
dimensions (length, width and height) of the
vase?
Answer:
7,7, and 7
Step-by-step explanation:
If she vase is cubical we know that all 3 dimensions are the same. This means that x^3 = 343. So we know the answer is the cube root of 343, which is 7
The dimensions of the cubic vase are 7 by 7 by 7.
What is a cube?A three-dimensional object with six congruent square faces is called a cube. The cube's six square faces all have the same dimensions.
Given that the volume of the cubic vessel is 343 cubic inches.
The formula for the volume of a cube of side length a is:
V =a³
Substitute V= 343:
343 = a³
Or, a = ∛343
a = 7
Hence, the dimensions of the cubic vase are 7 by 7 by 7.
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The value of -4^2 is _____.
8
-16
16
-8
And please tell me why
Answer:
16
Step-by-step explanation:
A negative times a negative is a positive. -4^2 is equal to -4 times -4. This would give us 16.
Which equation represents a line that is parallel to the line with equation y = 2x + 1?
Select all that apply.
A. y= 2x - 8
B. y=-2x + 1
C. 2x + y=7
D. -2x + y = 2
E. -2x - y=9
Answer:
A and D
Step-by-step explanation:
Parallel lines have same slope.
equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
Options A and D
Given :
The equation of a parallel line [tex]y=2x+1[/tex]
The given equation is in the form of y=mx+b
where m is the slope
Slope of parallel lines are same .
Slope of given line is 2.
Lets check whether the slope of all lines given in the options are equal to 2
[tex]y= 2x - 8\\slope =2\\\\y=-2x + 1\\slope =-2\\\\2x + y=7\\y=-2x+7\\slope =-2\\\\-2x + y = 2\\y=2x+2\\slope =2\\\\-2x - y=9\\-y=2x+9\\y=-2x-9\\slope =-2[/tex]
Equations A and D have same slope 2
equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
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Maya’s grandfather open a savings account for a while she was born. He open the account with $100 and not add or take out money after that. The money in the account grows at a rate of 4% per year. Make a table to show the amount in the account from the time Maya was born until she turn 10.
Answer:
1140
Step-by-step explanation:
because 4% equals 4 pounds × 10 equals 40% which equals 40 pounds and 100 times 10 equals 1000 plus the extra 100 pounds from the beginning
An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room and of the area for the 1/6 kitchen. What area, in square feet, is left over for other parts of the house?
A 1400 ft2
B 1000 ft2
C 140 ft2
D 100 ft2
Answer:
6o×40=2400
area 1/4=2400÷4=600
area 1/6=600÷6=100
(d)=100 ft2
I need help ASAP cause I'm stuck
Answer:-16r^7
Step-by-step explanation:
is the slope of the line with equation y-3=-1/2(x-2)
Answer:
-1/2 is the slope.
Step-by-step explanation:
y-3 = -1/2(x-2)
y-3 = -1/2x +1
y= -1/2x + 4
m= -1/2