Drag an answer to each box to complete this paragraph proof. Given: Triangle ABC Prove: m/A= 66 A B (5x) By the C (x + 10) m/A+m/B +m/C= 180°. Using the the sum of the angles in a triangle is equal to 180°. Therefore, solve for x, first combine like terms to get 6x + 100 = 180. Using the (5x) +90° + (x + 10) = 180°. To 6x = 80. Then, using the division property of equality, x = 13. To find the measure of angle A, use the substitution property to get m/A = 5(13). Finally, simplifying the expression gets mA = 663"
Answers
The value of A has been illustrated, computed and proven based in the triangle given.
How to calculate the triangle?It should be noted that that a triangle is a shape that has three sides and the value of the addition of all the angles are equal to 180°.
Based on the information that's given, it should be noted that the value of angle A, angle B, and angle C will be equal to 180°.
In this case, the following can be deduced:
A = 5x
B = 90°
C = x + 10°
Therefore, A + B + C = 180° (sum of angles in a triangle)
5x + 90 + x + 10 = 180°
6x = 180° - 90° - 10°
6x = 80°
x = 80/6
x = 13 1/3
Therefore, the value of A will be:
= 5x
= 5 × 13 1/3
= 66 2/3
Therefore, A is 66 2/3.
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Related Questions
HELP HELP HELP
HELP HELP HELP
HELP HELP HELP
Answers
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
As per the given information ~
The given triangles are similar, so their corresponding sides should be in same ratio :
[tex]\qquad \sf \dashrightarrow \: \dfrac{2x}{4} = \cfrac{5}{x - 3} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{x}{2} = \cfrac{5}{x - 3} [/tex]
[tex]\qquad \sf \dashrightarrow \: x(x - 3) = 10[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} - 3x = 10 [/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} - 3x - 10 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} - 5x + 2x - 10 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: x(x - 5) + 2(x - 5) = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: (x + 2)(x - 5) = 0[/tex]
so, x = 5 or -2
but since side length can't be negative, we will take x = 5 neglecting the negative value (-2)
So, side lengths of unknown sides are :
[tex] \qquad \sf \dashrightarrow \: {2x = 2 × 5 = 10 units} [/tex]
and
[tex]\qquad \sf \dashrightarrow \: x - 3 = 5 - 3 = 2 \: \: units[/tex]
I needed help solving this
Answers
Answer:
Answer C: m = 26, f = 22
there is a typo in answer D.
Step-by-step explanation:
There are 48 vehicles, so m + f = 48.
They have 140 wheels, so 2m+4f = 140.
You can rewrite the first as m = 48-f and then plug it into the second:
2(48-f) + 4f = 140 =>
96 - 2f + 4f = 140 =>
2f = 140 - 96 =>
2f = 44
f = 22
m = 48 - 22 = 26
Answer:
D
Step-by-step explanation:
Let m = motorcycles and c = cars
m + c = 48 2m + 4c = 140
m + c = 48 Multiple this equation through by -2
-2m -2c = -96 Add this to the second equation above
2m +4c = 140
2c = 44 Divide both sides by 2
c = 22. There are 22 cars. Plug this back into the top equation to find the number of motorcycles.
m + c = 48
m + 22 = 48 Subtract 22 from both sides
m = 26
Ariel wants to write 8 entries for her blog. After 2 hours,she has 5 entries left. After 4 hours, she has 2 entries left. Which graph represents ariels remaining entries?
Answers
After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left.
1-10) Matching. Use OA below to match each part to its corresponding label.
PLEASE HELP DUE IN A FEW
Answers
The matched answers are:
1. semicircle
2. central angle
3. Radius
4. Secant
5. center
6. tangent
7. diameter
8. minor arc
9. chord
10. major arc
What is a circle?A circle is the locus of points equidistant from a given point called the center of the circle.
A circle can be described if its radius and the center of the circle is known.
Analysis:
1. RCH is called a semicircle when a diameter divides a circle into two equal parts, a part is called the semicircle.
2. ∠RAH is the central angle, because it is the angle subtended at the Center of the circle.
3. CA is the radius of the circle, a line drawn from the center to any point on the circumference of the circle.
4. MR is a secant, a line that cuts the circle into two parts.
5. A is the center of the circle.
6. MT is the tangent, because line MT touches the circle at a point T.
7. CH is the diameter of the circle, a line that divides the circle into two semi circles.
8. CT is the minor arc, the curved line that is found in the smaller part of the divided circle.
9. HT is chord, it is a line that divides the circle into two unequal parts.
10. CRH is major arc, the curved line of the bigger portion of the divided circle.
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An airplane covers 3450 km in an hour. how much distance will it cover in 7 hours?
Answers
Answer:
24,150km
Step-by-step explanation:
The plane travels 3450km in 1 hr, since we need the distance traveled in 7 hrs we need to multiply 3450 by 7.
distance in 7hrs: 3450*7 = 24,150km
Which expression is equivalent to 4x^2sqrt 5x^4 times 3sqrt 5x^8 , if x ≠ 0?
Answers
The expression which is equivalent to 4x²√5x⁴ × 3√5x^8 is; 60x^8.
Which expression is equivalent to the given expression?The expression given in the task content is; 4x²√5x⁴ × 3√5x^8.
Hence, upon evaluation of the product; we have;
= 12x²√25x¹².
= 60x^8.
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Compared to the graph of f(x) = x², the graph of g(x) = (x − 2)² +3
is the result of translating f(x)
Answers
Answer:
Vertical shift up 3
Horizontal shift to the right 2
Brainliest, please :)
Answer:
Step-by-step explanation:
f(x) is moved 2 units to the right followed by 3 units up,
Analyzing the Discrim
Which values of c will cause the quadratic equation-x²+3x+c=0 to have no real number solutions? Check all that
apply.
0-5
0 0 0
9
Intro
ant of a Quadratic Equation
Done
Answers
The values of x that will give the quadratic equation no real number solutions are -5 and 9
What are real roots of a quadratic equation?Real roots of a quadratic equation are values of x, whose numbers can be represented on a number line.
Analysis:
We have -[tex]x^{2}[/tex] +3x +c = 0
[tex]b^{2}[/tex] - 4ac is called the discriminant of a quadratic equation.
if [tex]b^{2}[/tex] - 4ac < 0, then the quadratic equation has no real root.
where a = -1, b = 3 c = c
[tex](3)^{2}[/tex] -4(-1)c < 0
9 + 4c < 0
4c < -9
c < -9/2
Which means values lower than -9/2 would give the solution no real root.
From, the options, only -5 would give no real solution, since it is lower than -9/2.
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PLS HELP!!!!!!!!!!!!! math related
Answers
Answer: B
Step-by-step explanation:
When you evaluate f(-1)=2x^4+x^2-5 we will get -2 in basic notation (-1,-2). We need to find the root of the function to find the other roots or factors, where y=0.
Find the perimeter of the rhombus below, given that a = 7 and b = 14. (round your answer to one decimal place, if necessary.)
Answers
If the value of a is 7, b is 14 in the rhombus then the perimeter of the rhombus is equal to 31.3 units.
Given that the value of a is 7,b is 14.
We are required to find the perimeter of the rhombus.
The values which are given to us are of the lengths of diagonals of rhombus.
Perimeter of the rhombus is equal to 4 times the side of the rhombus. So in order to find the perimeter of the rhombus we need the side of the rhombus not the diagonals.
When we draw the diagonals in the rhombus it forms four right angled triangle in which the Base is equal to 7/2 units and 7 is the perpendicular.
We have to use pythagoras theorem to find the hypotenuse which is the side of the rhombus.
Suppose base is BC , perpendicular is AB and hypotenuse is AC.
AC=[tex]\sqrt{7^{2} +7/2^{2} }[/tex]
=[tex]\sqrt{49+49/4}[/tex]
=[tex]\sqrt{245/4}[/tex]
=7.826
Perimeter of rhombus=4*side
=4*7.826
=31.304
After rounding off it will be 31.3 units.
Hence if the value of a is 7, b is 14 in the rhombus then the perimeter of the rhombus is equal to 31.3 units.
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What z-score value separates the highest 70% of the scores in a normal distribution from the lowest 30%?
a. z = 0.52
b. z = 0.84
c. z = -0.84
d. z = -0.52
Answers
Using the normal distribution, the value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is:
z = -0.52.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The value that separates the highest 70% of the scores in a normal distribution from the lowest 30% is is the 30th percentile, which is Z with a p-value of -0.3, hence z = -0.52.
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1. The midpoint of KL is M(5, -7). One endpoint is K(9,-7). Find the coordinates of the other endpoint L.
O
O
O
(7.-7)
(1.-7)
(1,0)
Answers
Answer:
L (1, - 7 )
Step-by-step explanation:
give endpoints (x₁, y₁ ( and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = K (9, - 7 ) and (x₂, y₂ ) = L (x, y )
use the midpoint formula and equate to corresponding coordinates of M
[tex]\frac{9+x}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )
9 + x = 10 ( subtract 9 from both sides )
x = 1
and
[tex]\frac{-7+y}{2}[/tex] = - 7 ( multiply both sides by 2 )
- 7 + y = - 14 ( add 7 to both sides )
y = - 7
Then L = (1, - 7 )
Which
expression is equivalent to
(x^6y^8)^3/x^2y^2
Answers
Answer: [tex]x^{16}y^{22}[/tex]
Step-by-step explanation:
[tex]\frac{(x^6 y^8)^3}{x^2 y^2}=\frac{x^{18}y^{24}}{x^2 y^2}=x^{16}y^{22}[/tex]
In which of these situations do the quantities combine to make 0?
A. Kathy receives $20 as a gift. She gives half of her $20 to a friend and keeps the rest for herself.
B. A player in a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board. C. In the morning, the temperature rises 30 degrees. In the evening, it falls by 30 degrees.
D. A hot air balloon rises 40 feet. It then rises another 40 feet.
Answers
Answer:
C
Step-by-step explanation:
The temperature rises by 30 degrees, so lets say that it goes from 0 to 30.
The temperature is now 30. But then, it falls by 30 degrees. It is now 0 again. The quantities even out, or make 0.
A community pool that is shaped like a regular pentagon needs a new cover for the winter months. the radius of the pool is 20.10 ft. the pool is 23.62 ft on each side. to the nearest square foot, what is the area of the pool that needs to be covered?
Answers
The area of the pool that needs to be covered is 960.42 square feet.
What is Pythagoras theorem give example?To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula c2 = a2 + b2, where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.According to the question:
We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.To find the area of community pool we will use area of pentagon formula.[tex]Area of pentagon=\frac{1}{2} a * p$[/tex] , where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.Let us find the perimeter of our given pentagon by multiplying each side length by 5.
[tex]Perimeter of community pool $=5 \times 23.62\\Perimeter of community pool $=118.1$[/tex]
Now let us find apothem of our pentagon by using Pythagoras theorem.
[tex]a^{2}=20.10^{2}-11.81^{2}\\$a^{2}=404.01-139.4761\\$a^{2}=264.5339\\$a=\sqrt{264.5339}\\$a=16.2645$[/tex]
Upon substituting our given values in above formula we will get,
[tex]Area of community pool =\frac{1}{2} \times 16.2645 \times 118.1\\Area of community pool $=8.13224907 \times 118.1\\Area of community pool $=960.418615627971 \approx 960.42$[/tex]
Therefore, the area of the pool that needs to be covered is 960.42 square feet.
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Answer: B). 960 ft2
Step-by-step explanation:
PLEASE HELP IM STUCK
Answers
Step-by-step explanation:
[tex] \frac{y2 - y1 }{x2 - x1} = \frac{3 - - 2}{5 - 0} = \frac{5}{5} = 1[/tex]
Hey there!
Here, given;
The points are; (0,-2) and (5,3).
Now, simply use slope formula.
slope(m)
y?-yl
7
^ 4.2
Put all values.
3+2
m
Simplify them to get answer.
3
Therefore the slope is 1.
Hope it helps…
The vertices of a quadrilateral are A(-1,6),B(-2,4),C(2,2), and D(3,4). Write a paragraph proof to determine whether quadrilateral ABCD is a rectangle. 15px
Answers
Determining the slopes of each side, we get the slope of [tex]\overline{AB}[/tex] is [tex]2[/tex], the slope of [tex]\overline{BC}[/tex] is -1/2, the slope of [tex]\overline{CD}[/tex] is 2, and the slope of [tex]\overline{AD}[/tex] is -1/2. Since the slopes of sides AB and CD and BC and AD are equal, it follows that [tex]\overline{AB} \parallel \overline{CD}[/tex] and [tex]\overline{BC} \parallel \overline{AD}[/tex]. Thus, ABCD is a parallelogram because it is a quadrilateral with two pairs of opposite congruent sides. However, we can also note that the slope of side AB is the negative reciprocal of that of sides BC, and thus [tex]\overline{AB} \perp \overline{BC}[/tex]. Using the fact that perpendicular lines form right angles, we can conclude that [tex]\angle ABC[/tex] is a right angle, and since ABCD is thus a parallelogram with a right angle, it must also be a rectangle.
Answer:
Answers will vary based on the method used, but the final slope-intercept form of the equation of AB↔ will be the same.Let the equation of AB↔ in slope-intercept form be y=mx+d, where m is the slope and d is the y-intercept.The coordinates of points A and B are (1, 1) and (5, 3), respectively, so the slope of AB↔ is m=yB−yAxB−xA=24=0.5.Substitute the value of m back in the equation:y = 0.5x + d.Substitute the coordinate of point A (1, 1) in the equation above, and solve for d: 1 = 0.5 + dd = 0.5.Therefore, the equation of AB↔ is y = 0.5x + 0.5. To check whether C lies on AB↔ substitute the x-coordinate of C into the right side of the equation: 0.5 (2.6) + 0.5 = 1.8.The result is equal to the y-coordinate of C. Thus, C satisfies the equation of AB↔ which means that C lies on AB↔.
Step-by-step explanation:
I did it
What is the sum of the 12th square number and the 9th square number
Answers
Answer: 225
Step-by-step explanation:
What is a square number?
A square number is a product of a number times itself
So, the 12th square number would be 12 * 12, or 12²
The 9th square number would be 9 * 9, or 9²
The equation would be 12² + 9²
So:
12² + 9²
= 144 + 81
= 225
So, the answer is 225
What is the formula for margin of error?
Z•√√5
√r
OME =
OME =
OME =
z. √s
Z•
77
Z•S
√n
Z S
OME= 77
Answers
The margin of error is calculated using the formula, C. ME = z × s / √n.
What is the Formula Used to Determine Margin of Error?The formula for finding the margin of error is given as: ME = z × s / √n, where we have the following:
ME = margin of error
z = z-score
s = population standard deviation
n = sample size
The margin of error is used to determine amount of error in a random sampling.
Thus, the formula is: C. ME = z × s / √n.
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Help fast!!!
each shelf holds a total of 64 deciliters of apple juice. the bottles have three different sizes: large medium, and small. how many deciliters of apple juice does a medium bottle contain?
do a quick explanation!
dont just take the points or i will report you!
less than a minute!!!
Answers
The quantity of deciliters of apple juice a medium bottle contain is 10 deciliters
EquationLarge bottles = lMedium bottles = mSmall bottles = sTotal bottles in each shelf = 644s + 3l = 64
3s + 2l + 2m = 64
6s + 4m = 64
If
m = 10
s = 4
l = 16
Check:
3s + 2l + 2m = 64
3(4) + 2(16) + 2(10)
= 12 + 32 + 20
= 64
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PLEASE HELP FAST!
A figure has rotational symmetry if a rotation of 180°
or less produces an image that fits exactly on the original figure. Select each degree of rotation that shows the figure below has rotational symmetry.
30 °
45 °
60 °
90 °
120 °
135 °
150 °
180 °
Answers
Answer:180 °
Step-by-step explanation:
Answer:
90 degrees
Step-by-step explanation:
The only numbers that are possible to be divided into 180 are these: 30, 45, 60, 90, & 180.
Now to figure out if this figure is symmetrical. It is. Why? Because you can put at least one line through each triangle. 8 in total but 180 cannot be divided by 8. So you could maybe split it in half. 180/4= 45
45x2= 90
Easy: Since there are now, two halves, since it is split up, it could be possible that the answer could be 90. Because 180/2 halves= 90.
The answer is 90
There are a total number of 38 possible equally likely outcomes on a roulette wheel. Out of the 38 outcomes, there are 18 odd-numbered outcomes. What's the probability of rolling an odd number
Answers
The probability of rolling an odd number is 9/19.
According to the statement
Total number of possible outcomes = 38
Odd numbered of outcomes = 18
Now we find the probability
Probability = possible outcomes / total outcomes
Probability = 18/38
Probability = 9/19
So, The probability of rolling an odd number is 9/19.
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How do I solve question 6 through 8?
Solve for me
Answers
The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
How to determine the functions?A quadratic function is represented as:
y = a(x - h)^2 + k
Question #6
The vertex of the graph is
(h, k) = (-1, 2)
So, we have:
y = a(x + 1)^2 + 2
The graph pass through the f(0) = -2
So, we have:
-2 = a(0 + 1)^2 + 2
Evaluate the like terms
a = -4
Substitute a = -4 in y = a(x + 1)^2 + 2
y = -4(x + 1)^2 + 2
Question #7
The vertex of the graph is
(h, k) = (2, 1)
So, we have:
y = a(x - 2)^2 + 1
The graph pass through (1, 3)
So, we have:
3 = a(1 - 2)^2 + 1
Evaluate the like terms
a = 2
Substitute a = 2 in y = a(x - 2)^2 + 1
y = 2(x - 2)^2 + 1
Question #8
The vertex of the graph is
(h, k) = (1, -2)
So, we have:
y = a(x - 1)^2 - 2
The graph pass through (0, -3)
So, we have:
-3 = a(0 - 1)^2 - 2
Evaluate the like terms
a = -1
Substitute a = -1 in y = a(x - 1)^2 - 2
y = -(x - 1)^2 - 2
Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2
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Identify the range of values for y.
The figure shows a triangle. The first side of the triangle goes from the lower left corner to the upper right corner. The second side of the triangle goes from the lower right corner to the upper left corner. An angle between these sides is an obtuse angle. The third side of the triangle goes from the lower left corner to the lower right corner. A line connects a vertex of the obtuse angle with a point on the third side. This line divides the third side into left and right segments. An angle between this line and the second side measures 60 degrees. An angle between this line and the left segment of the third side measures 105 degrees. The second side of the triangle is congruent to the left segment of the third side. The right segment of the third side has a length of 5 times y plus 8 units. The first side of the triangle has a length of 4 times y plus 15 units.
Answers
The range of values of y is -1.6 < y < 7
How to determine the range?The complete question is added as an attachment
From the attached image, we have the following sides
4y + 15 and 5y + 8
Both sides must be greater than 0.
So, we have:
4y + 15 > 0 and 5y + 8 > 0
Rewrite as:
4y > -15 and 5y > - 8
Solve for y
y > -3.75 and y > -1.6
If y is less than -1.6, the side 5y + 8 would be negative.
So, we make use of the inequality y > -1.6 as one of the range
Also, 4y + 15 is greater than 5y + 8.
So, we have:
4y + 15 > 5y + 8
Evaluate the like terms
-y > -7
Divide by -1
y < 7
So, we have:
y > -1.6 and y < 7
Combine both inequalities
-1.6 < y < 7
Hence, the range of values of y is -1.6 < y < 7
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Give the equation of the circle that has a diameter with endpoints G(-6, — 3) and
R(-6,-8).
Answers
Generally, the equation of a circle is organized like this: [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the centre and r is the radius.
Solving the QuestionWe're given the endpoints of the diameter: [tex](-6,-3)[/tex] and [tex](-6,-8)[/tex].
First, we can find the centre of the circle by finding the midpoint of these two endpoints.
[tex]midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Plug in the points:
[tex]midpoint=(\dfrac{-6+-6}{2},\dfrac{-3+-8}{2})\\\\midpoint=(-6,\dfrac{-11}{2})[/tex]
Therefore, the centre of the circle is [tex](-6,\dfrac{-11}{2})[/tex]. Plug this into the general equation:
[tex](x-h)^2+(y-k)^2=r^2\\\\(x-(-6))^2+(y-(-\dfrac{11}{2}))^2=r^2\\\\(x+6)^2+(y+\dfrac{11}{2})^2=r^2[/tex]
To find the radius of the circle, we can calculate the distance between the centre and one of the given endpoints:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Plug in the centre and one of the endpoints:
[tex]d=\sqrt{(-6-x_1)^2+(\dfrac{-11}{2}-y_1)^2}\\d=\sqrt{(-6-(-6))^2+(\dfrac{-11}{2}-(-3))^2}\\d=\sqrt{(-6+6)^2+(\dfrac{-11}{2}+3)^2}\\\\d=\sqrt{(0)^2+(-5.5+3)^2}\\\\d=\sqrt{(0)^2+(-2.5)^2}\\\\d=\sqrt{(0)^2+(-\dfrac{5}{2})^2}\\\\d=\sqrt{0+\dfrac{25}{4}}\\d=\sqrt{\dfrac{25}{4}}\\\\d=\dfrac{5}{2}[/tex]
Therefore, the radius of the circle is [tex]\dfrac{5}{2}[/tex]. Plug this into the general equation:
[tex](x+6)^2+(y+\dfrac{11}{2})^2=r^2\\\\(x+6)^2+(y+\dfrac{11}{2})^2=(\dfrac{5}{2})^2\\\\(x+6)^2+(y+\dfrac{11}{2})^2=\dfrac{25}{4}[/tex]
Answer[tex](x+6)^2+(y+\dfrac{11}{2})^2=\dfrac{25}{4}[/tex]
What is the domain of the exponential function shown below?
F(x) = 5.3*
O A. All real numbers except 5
OB. All real numbers
C. x<0
OD. x>0
Answers
The function will exist on all real numbers. Hence the domain of the exponential function given is all real numbers
Domain of a functionThe domain are independent values of an expression for which it exist. The standard exponential equation is expressed as y = ab^x
Given the exponential function as shown:
y = 5(3)^x
The function will exist on all real numbers. Hence the domain of the exponential function given is all real numbers
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Select all the correct answers.
The table shows points on the graph of the function f (x) = 3 sin (x- pi/2) + 1
Answers
Answer:
B,C and E
Step-by-step explanation:
The period can be calculated by dividing 2pi by the coefficfient of the x, so in this case 1. And we'll get 2pi/1 = 2pi.
The function clearly has a minimum of -2, you can see that from the table.
Same thing for the maximum = 4.
Answer:
See Photo
Step-by-step explanation:
Plato/Edmentum
Of the last 16 people at a carnival booth, 6 won a prize. what is the experimental probability that the next person at the booth will win a prize? write your answer as a fraction or whole number. p(win)
Answers
The experimental probability that the subsequent booth competitor will receive a reward is 3/8.
Probability calculationThe possibility of an event occurring is determined by probability.
The probability of the occurrence ranges from 0 to 1.
If the event doesn't happen, it = 0;
otherwise, it = 1.
For instance, the likelihood that it will storm on Sunday ranges from 0 to 1. If it storms, the event is given a value of 1. If it doesn't, the event is given a value of zero.
Depending on the outcome of a study that has been run several times, the experimental probability is calculated.
The number of winners in the games divided by the total number of competitors in those games determines the probability that the following competitor will earn a reward.
So, here the probability = 6/16 = 3/8 (by dividing both the numerator and the denominator by 2).
Therefore, the final solution is P= 3/8 .
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If Dwayne drinks 48 bottles of water in 12 days, how many bottles of water will he drink in 4 days?
Answers
Dwayne will drink 12 bottles of water in 4 days.
To find out how many bottles of water Dwayne will drink in 4 days, we can set up a proportion based on the information given:
Let x be the number of bottles of water he will drink in 4 days.
The number of bottles of water consumed per day remains constant, so we can set up the following proportion:
48 bottles / 12 days = x bottles / 4 days
Now, solve for x:
48 / 12 = x / 4
4x = 48
x = 48 / 4
x = 12
So, Dwayne will drink 12 bottles of water in 4 days.
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Question 13 (5 points
if the current mortgage rates are high and expected to drop in the near future, which of the following loans do you not want to get?
fixed rate
15-year
variable rate
30-year
Answers
When the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has C. variable rate.
What is mortgage?It should be noted that a mortgage simply means a loan that's made by a bank to purchase a house.
In this case, the current mortgage rates are high and expected to drop in the near future, the loans that will be gotten is one that has a variable rate. This is because once the mortgage rate decreases, one will pay a lesser amount.
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