MATHEMATICS HIGH SCHOOL

Thirty people are eligible to win cash prizes. The number of each cash award prize is shown in the table. Prizes will be given out randomly one at a time. What is the probability of the first person winning the $50 prize?

Answers

Answer 1

Answer: The probability is 5/30 or 1/6.

5 / 30 = 5/30

Simplified: 5/30 = 1/6

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?

Answers

Well, there are $x$ amounts of white flower and 6 cups of wheat flower.

So the total flower is $x+6$

Given that $y$ is the total, the equation you would use is:
$y=x+6$

The constraints are as follows:
y can only be $\geq$ 6

And if y=0, x would have to be -6 (which is impossible)

Final answer:

The equation representing the total amount of flour Otto used in his recipe is y = 6 + x. Here, x and y should be non-negative real numbers, and y will always be at least 6.

Explanation:

The total amount of flour that Otto used in his recipe is represented by the equation y = 6 + x, where x is the quantity of white flour used, and 6 is the amount of whole wheat flour used. This equation comes from the concept of sum in mathematics, where we combine or add up different quantities to get a total.

The constraint on the value of x (the amount of white flour) is that it must be a "non-negative real number". This is because, in real-life context, it's not possible to use a negative amount of something. Similarly, y (the total amount of flour) must also be a non-negative real number and must be at least 6 (since we always have 6 cups of whole wheat flour in the recipe).

Learn more about Mathematical Sum & Constraints here:

brainly.com/question/32631981

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What type of triangle is formed by joining the points D(7, 3), E(8, 1), andF(4, -1)?equilateral triangle isosceles triangle right triangle
acute scalene triangle obtuse scalene triangle

Answers

I have already answered...
It's very easy, to resolve this exercise is necessary to use the cartesian coordinate system. However the answear is: right triangle. ;)

Answer:

Step-by-step explanation:

Quadratic formula 9x²-6x-11=0

Answers

$9x ^(2)-6x-11=0 \n \n a=9 , \ b=-6, \ c = -11 \n \n \Delta = b^(2)-4ac = (-6)^(2)-4*9* (-11)= 36+396 = 432\n \n√(\Delta )=√(432)= √(144*3)=12√(3)\n \nx_(1)=(-b-√(\Delta ))/(2a) =(6-12√(3))/(2*9)=( 6(2-2√(3)))/(18)= ( 2-2√(3) )/(3) \n \nx_(2)=(-b+√(\Delta ))/(2a) =(6+12√(3))/(2*9)=( 6(2+2√(3)))/(18)= ( 2+2√(3) )/(3)$

According to The Fundamental Theorem of Algebra, how many zeros does the function. f(x) = 3x4 + x + 2 have?

Answers

According to The Fundamental Theorem of Algebra, we work with complex roots which means that the function. f(x) = 3x4 + x + 2 has !four! zeros that will coincide with degree of polynomial. You will have as many complex coefficients as many you have zeros. Hope it is clear. Regards.

The graph of the equation x2 + y2 + 8x − 10y − 40 = 0 is which of the following conic sections?ellipse

hyperbola

parabola

circle

Answers

in form
ax^2+by^2+cx+dy+e=0
to determine the shape
when a=c and b=d, you have a circle

if you do b^2-4ac
if:
1. the result is GREATER than zero: hyperbola
2. result is EQUAL to zero: parabola
3. result is LESS than zero: elipse

x^2+y^2+8x-10y-40
a is not equal c so nt circle
a=1
b=1
c=8
1^2-4(1)(8)
we can see this is less than 0
ellipse

What is the length of stack V W with bar on top ? Round to the nearest tenth of a unit.

Answers

I saw the image that should have accompanied this problem.

V (-3,-2)
W( 4, 6)

I studied the graph and I can form a right triangle with VW as the hypotenuse.

long leg = 8 units ; short leg = 7 units

Pythagorean theorem
a² + b² = c²
8² + 7² = c²
64 + 49 = c²
113 = c²
√113 = √c²
10.63 = c

the length of stack VW with bar on top is 10.63

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