"If we assume that 57% of Americans says that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60%or more who says that GM foods are generally unsafe to eat" is valid interpretations of this p-valid.
Given info;
Genetically modified foods: A 2016 Pew Research survey found that 56% of Americans believe that eating genetically modified (GM) food is generally harmful. This month, a survey of 500 randomly chosen American citizens found that 60% believe gm foods are typically dangerous to consume. We examine the possibility that more people than 56% believe that eating GM food is generally unsafe this year. 0.084 is the p-value.
If we assume that 57% of Americans say that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60% or more who say that GM foods are generally unsafe to eat” is a good interpretation of the P-value. The P-value is the probability that results will be as or more extreme than those from the latest survey if opinions have not changed since 2014.
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Prove the following.
Given: BA is perpendicular to BC,
BD bisects mABC.
Prove: mABD = 45°
2. An auto repair shop charges $50 plus $25 per hour. Using C for cost and h for hours, write an
equation to model the problem. Then, use your equation to find the cost for an 8-hour repair job
at the shop.
Answer:
Step-by-step explanation:
The equation would be y=25x+ 50 which is linear. Radical expressions have a number under the radical sign which this equation doesn't. Rational expressions have fractions containing polynomials in the numerator and denominator and exponential equations have 'x' as the exponent in a function.
Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. the side length of Cube B is twice that of Cube A.
A. is the surface are of Cube B also twice that of Cube A?
B. is the volune of Cube B also twice that of Cube A?
The volume of the cube A is 8 cm³ and the volume of the cube B is 64 cm³
What is a cube?
A cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, and 4 on the sides faces.
We have been given that Two larger cubes are made out of unit cubes. Cuba A is 2 by 2 by 2. Cube B is 4 by 4 by 4. then the side length of Cube B is twice that of Cube A.
Then the surface area of Cube B = 6a²
Cube B = 6 x 4² = 96
Surface area of Cube A = 6 x 2² = 24
The volume of the cube A = a³ = 2³ = 8 cm³
The volume of the cube B = a³ = 4³ = 64 cm³
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Use matrices A and B. Compute B - A, if you can.
Answer:
Step-by-step explanation:
When adding or subtracting, the matrices must be the same size!
Therefore, B-A is not possible.
Solve this problem:
√-9k=√16-k
k=
4. Rewrite the expression 12x + 8 to find an
equivalent expression. Show three possible
expressions. What do the rewritten expressions
tell you about the relationships among the
quantities?
To rewrite the expression 12x+8 to find an equivalent expression.
The answer is
12 x + 8 is equivalent to 4(3x + 2) is equivalent to
3x + 3x+3x+3x + 2 +2+2+2 is equivalent to (x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2
Therefore these are the possible expressions
Step: 1
Here given that,
Rewrite the expression 12x + 8 to find an equivalent expression. Show three possible expressions. What do the rewritten expressions tell you about the relationships among the quantities.
Step: 2
When you rewrite an expression, you are writing an equivalent expression.
12 x + 8 is equivalent to 4(3x + 2) is equivalent to
3x + 3x+3x+3x + 2 +2+2+2 is equivalent to
(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2
Therefore these are the possible expressions
Hence the answer is
12 x + 8 is equivalent to 4(3x + 2) is equivalent to
3x + 3x+3x+3x + 2 +2+2+2 is equivalent to
(x+x+x)+(x+x+x)+(x+x+x)+(x+x+x)+2+2+2+2
Therefore these are the possible expressions
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For the equation
y-3 = 2(x + 4),
which of the following is true?
1. Trevor vende dulces en paquetes de 3 y de 7
Un día compro 102 dulces para vender. Como vende más
paquetes de 7, intento agrupar la mayor cantidad de
dulces en paquetes de 7
y algunos fueron paquetes de 3.
Si empaquetó todos sus dulces, ¿Cuántos de paquetes de 3
agrupo?
Answer:
A. 63.
Step-by-step explanation:
Please help me!!!!!!!!!!
Answer:
i can't see the pic
Step-by-step explanation:
solve for brainliest
The students' Landry and Erika was the name used and the image is attached
What is linear function ?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
y = output variable
m = slope
x = input variable
c = y intercept
The two graphs shown the first from the left represents a positive slope while the second is a negative slope
Cole and Erika are both positive slopes while Landry has a negative slope. This makes Landry to be sure of the second graph
Considering c (y intercept)
In Cole's equation c = -1 and in Erika's equation c = +4
Erika's equation coincides with the graph with positive slope and Landry matches with second graph.
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n is an integer 5
5<2n<20
write down all the possible values of n
If n is an integer , the possible values of n in the given inequality are n > 5/2 and n < 10 .
In the question ,
it is given that ,
the inequality is 5 < 2n < 20 , where n is an integer .
we need to find the all the possible values of n that satisfy the given inequalities .
to find the possible values of n , we solve both sides of the inequality separately ,
that is ,
5 < 2n
dividing both sides in the inequality by 2, we get
5/2 < n
n > 5/2
and
2n < 20
dividing both sides in the inequality by 2 , we get
n < 20/2
n < 10
Therefore , the possible values of n are n > 5/2 and n < 10 .
The given question is incomplete , the complete question is
Write down all the possible values of n for the inequality 5<2n<20 , where n is an integer ?
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Simplify. 5(x+2)-3(x-2)+7x= Please Help!!! Make it legit!
Answer: 9x + 16
Simplify the expression
Algebra 2 with Trigonometry
Raul baked a loaf of pumpkin bread that is 9 inches long. Each day, he cuts off a half-inch slice of the bread to have as dessert. Raul claims that the remaining length of pumpkin bread varies inversely with the number of slices of pumpkin bread he cuts and eats.
Write an equation that gives the remaining length of pumpkin bread p (in inches) as a function of the number of slices s that he cuts and eats.
Enter the correct expression in the box.
p = ___
Note: I'm not sure about the answer, but it is not an inverse variation function.
Answer: p = 9 - 0.5s
Optionally you can replace 0.5 with the fraction 1/2
===================================================
Explanation:
s = number of slices
0.5s = total width of all of those slices mentioned
9-0.5s = amount left over.
For example, if he eats s = 4 slices then he has eaten 0.5s = 0.5*4 = 2 inches of bread, and there are 9-2 = 7 inches left.
Notice how 9-0.5s=9-0.5*4 = 9-2 = 7.
The equation p = 9 - 0.5s is not an inverse variation because it's not in the form p = k/s, where k is some constant.
125% of what number is 52.5
Answer:
42
Step-by-step explanation:
1.25x = 52.5 Divide both sides by 1.25
x = 42
What is the slope of a line parallel to the line whose equation is 10x+6y=-96. Fully simplify your answer.
The slope of a line parallel to the line whose equation is 10x + 6y = -96 is;
m = - 5/3
Find the slope fully simplify my answer.
10x + 6y =-96
y = - 5/3 x – 16
y = - 5/3 x + (-16)
y = - 5/3 x + (-16), m = - 5/3
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solve the simultaneous equation F-2g+3=2f-39+2=1
The value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1 .
According to the question,
We have the following equation:
f-2g+3=2f-39+2=1
Now, we will equate both these equations to 1:
f-2g+3 = 1
Subtracting 3 from both sides:
f-2g = 1-3
f-2g = -2 ..(1)
2f-39+2 = 1
2f -37 = 1
Adding 37 to both sides:
2f = 1+37
2f = 38
Dividing by 2 on both sides:
f = 38/2
f = 19
Putting this value of f in equation 1:
f-2g = -2
19-2g = -2
-2g = -2-19
-2g = -21
g = 21/2
g = 10.5
Hence, the value of f is 19 and the value of g is 10.5 after solving the simultaneous equation, f-2g+3=2f-39+2=1.
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Please answer this i need it within 5 minutes
Answer:
(-2.-3)
Step-by-step explanation:
(-2.-3)
Find the value of x.
12x-5,
O
K
43
L
N
M
Answer:
x = 4
Step-by-step Explanation:
[tex]\triangle LMO \sim \triangle NMO \ \rm{(AA \ Similarity)} \\ \\ \rm \implies 12x - 5 = 43 \\ \\ \rm \implies 12x = 43 + 5 \\ \\ \rm \implies 12x = 48 \\ \\ \rm \implies x = \frac{48}{12} \\ \\ \rm \implies x = 4[/tex]
K
Assume x and y are functions of t. Evaluate
dy
(Type an exact answer in simplified form.)
dy
for 4xy-4x+4y³ = -36, with the conditions dx
dt
dt
=-16, x= 4, y = -1.
For the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.
As given in the question,
Given function is equal to :
4xy-4x+4y³ = -36
Let us consider x and y are function of t.
Now , evaluate the derivative of function with respect to t we get,
4x(dy/dt) + 4y(dx/dt) -4(dx/dt) + 12y²(dy/dt) = 0
⇒( 4x + 12y² ) (dy/dt) + ( 4y -4 ) (dx/dt) = 0
Substitute the value of dx/dt = -16, x = 4 , y = -1 we get,
[ 4(4) + 12(-1)² ](dy/dt) + [ 4(-1) - 4 ] (-16) =0
⇒(16 +12) (dy/dt) + (-8)(-16) = 0
⇒ dy/dt = - ( 8× 16)/ 28
⇒ dy/dt = -32/7
Therefore, for the given function 4xy-4x+4y³ = -36 , value of dy/dt for the condition dx/dt = -16 , x= 4, y= -1 is equal to dy/dt = -32/7.
The complete question is:
Assume x and y are functions of t. Evaluate dy/dt , for 4xy-4x+4y³ = -36, with the conditions dx/dt = -16 , x = 4 , y = -1.
(Type an exact answer in simplified form.)
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Find the least common denominator of 7/2 and 3/10
Answer: 10
Step-by-step explanation: it’s 10 because 2 is a multiple of 10 and 10 is 10 so no change required.
Answer:
LCD = 10
Step-by-step explanation:
7/2 = 35/10
3/10 = 3/10
A new car is purchased for 20300 dollars. The value of the car depreciates at 9. 5% per year. What will the value of the car be, to the nearest cent, after 11 years?.
The value of the car to be, to the nearest cent, after 11 years is $7641.
Given data;
A brand-new car is bought for $20300. The car's value decreases by 9.5% annually.
To know the value of the car to be, to the nearest cent, after 11 years;
[tex]S(t) = 20300*(0.915)^t[/tex]
[tex]S(11) = 20300*(0.915)^1^1[/tex]
[tex]S(11) = 20300*0.376[/tex]
[tex]S(11) = 7640.61[/tex]
Hence, the value of the car after 11 years is $7641.
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simplify the expression, leaving only positive exponents in your answer
-3x^2(6xy-2x^3y^2z)
Answer:
simplify - 3x^2xy-(-3x^2) x 2x ^3y^2^z: -3x^3y+6x^2+3y2z
a grocer purchase 5 dozenegg at rs 12 each.10 eggs are broken and he sold remaining at rs 14 each (i)his total loss or profit find profit or loss percent.
Answer:
Approximately 3% loss======================
Number of eggs purchased:
5*12 = 60Cost of eggs:
60*12 = 720Number of eggs sold:
60 - 10 = 50Money made:
50*14 = 700Profit or loss?
Cost (Rs 720) is greater than money made (Rs 700), so this is a lossPercent loss:
(720 - 700) / 720 × 100% = 20/720 × 100% =≈ 3%Determine whether a linear relationship exists between x and y. If the relationship is linear, find the constant rate of change.
X 1 2 3 4
y 4.3 8.6 12.9 16.3
Write "linear" or "nonlinear" in the Show your work area. If linear, type the constant rate of change in the answer box. if not linear, briefly explain why in the answer box.
The values of x and y are not in a linear relationship.
Given,
x y
1 4.3
2 8.6
3 12.9
4 16.3
The linear relationship between x and y can be determined by using,
[tex]y=kx\\k=\frac{y}{x}[/tex]
Where, k=constant rate of change
If k is same for all values of x and y then the given data are said to be in linear relationship.
At first row,
[tex]k=\frac{4.3}{1} =4.3[/tex]
At second row,
[tex]k=\frac{8.6}{2}=4.3[/tex]
At third row,
[tex]k=\frac{12.9}{3}=4.3[/tex]
At fourth row,
[tex]k=\frac{16.3}{4} =4.075[/tex]
So, the k is not same for all values for x and y. Hence, the given data is non linear
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Question
A triangle is cut from a rectangle. The height of the triangle is half of the unknown side length s. The area of the shaded region is 84 square inches. Write an equation you can use to find the side length s.
The equation that can be used to find the side length of the shape is 14s - 7s/2 = 84
How to calculate the length?From the information, the two sides of the rectangle are 14 and s.
Area of a rectangle = length × width
The triangle is cut from the rectangle, the height is s/2 and the base is 14.
The area will be: = 1/2 × base × height
= 1/2 × 14 × s/2
= 7s/2
The area of shaded part will be;
= Area of rectangle - Area of triangle
= 14s - 7s/2
Since area is 84, the equation is 14s - 7s/2 = 84.
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Jai has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 11.5 points for each visit to the movie theater.
He needs 181 points for a free movie ticket.
Answer: B
Step-by-step explanation:
NEED HELP ASAP, EXPLANATION WOULD BE APPRECIATED THANKS
The value of variable x is 16.5 using the cross-multiplication method.
What is the cross-multiplication method?The denominator of the first term is multiplied by the numerator of the second term when utilizing the cross-multiplication method.
In mathematics, more specifically in elementary arithmetic and elementary algebra, one could cross-multiply an equation between two fractions or rational expressions to make the equation easier or to determine the value of a variable.
So, the value of x will be:
Use the cross-multiplication method as follows:
2x-7/4 = x+3/3
3(2x-7) = 4(x+3)
6x - 21 = 4x + 12
2x = 12 + 21
2x = 33
x = 33/2
x = 16.5
Therefore, the value of variable x is 16.5 using the cross-multiplication method.
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Correct question:
Obtain the value of x.
ASAP! exponent rules.
Answer: 5^13
Step-by-step explanation:
1. The Exponent out of the parenthesis would be multiplied by the exponent in the parenthesis
(5^2)^4*5^5
5^8*5^5
2. Since the exponents have the same base, when they are multiplied you will keep the same base, and the exponents will add up
5^8*5^5=5^13
Put the numbers in order from smallest to largest.
= 3.24 x 10°
= 4.68 z 10
= 5.48 x 10°
6
= 8.34 z 10 2
1.2 z 107
27
Order for the given exponential numbers will be:
5.48 x [tex]10^{9}[/tex]
3.24 x 10^{9}
1.2 x 10^{7}
8.34 x 10^{-2}
4.68 x 10^{-6}
What are the exponential functions?
A mathematical function called an exponential function is employed frequently in everyday life. It is primarily used to compute investments, model populations, find exponential decay or exponential growth, and so forth. You will discover the formulas, guidelines, characteristics, graphs, derivatives, exponential series, and examples of exponential functions in this article. The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the most frequently used exponential function base.
With the highest power in exponential function,
function will be more greater if the numbers multiplied by exponential function are in same order of decimal number.
In given Que,
numbers multiplied are all of 2 decimal number.
So, we can directly compare the values x in e^{x}
i.e. 9 > 7 > -2 > -6
for same value of x: compare value of number multiplied.
Hence, we found out the correct answer.
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At a carnival you win a prize if you get a heads, you must first choose a coin. There is a fair and a biased coin, while choosing each coin is equally likely, the biased coin has a 78% of landing tails. What is the probability of choosing the biased coin if you won a prize.
The probability of choosing the biased coin if you win a prize is 0.3056
To answer this query, we employ the conditional probability formula. It is, where
P(B|A) is the likelihood that event B will occur in the absence of event A.
is the likelihood that both A and B will occur.
P(A) denotes the likelihood that A will occur.
The following probability applies:
50% chance of winning a prize with the fair coin.
There is a 100-78 = 22% chance of winning a reward with the biased coin.
50% chance of selecting each coin.
What is the likelihood that you would choose the biased coin if you were to win a prize?
Event A: Receiving the award
Choosing the skewed coin is event B.
the likelihood of selecting the skewed coin and obtaining the reward.
p(A∩B) = 0.5 * 0.22 = 0.11
probability of winning the prize:
p(A) = 0.5*0.22 + 0.5 *0.5 = 0.36
conditional probability:
p(B/A) = 0.11/0.36= 0.3056
the probability of choosing the biased coin if you win a prize is 0.3056
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