The complete table for the pie chart is;
Type of Film Frequency Angle in °
Action 4 72°
Horror 11 198
Comedy 5 90
How to interpret Pie chart?From the given table used to form the pie chart, we see that;
Type of Film Frequency Angle in °
Action 4 72°
Horror 11
Comedy 5
We know that the angles in a circle is equal to 360 degrees. Thus;
Angle composed of horror and comedy = 360 - 72 = 288°
Thus;
Angle for horror film = (11/(4 + 11 + 5)) * 360°
= (11/20) * 360°
= 198°
Thus;
Angle for comedy = 288° - 198° = 90°
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What is 3-3×6+2 please?
Answer:
-13Step-by-step explanation:
What is 3-3×6+2 please?
remember PEMDAS
3 - 3 × 6 + 2 = (solve multiplication)
3 - 18 + 2 = (solve addition)
3 - 16 = (solve subtraction)
-13 (result)
Please help me fast if possible :(
Answer:
B
Step-by-step explanation:
Hi there!
The first one is addition because if she got more, we are adding to it.
The last one seems to be a multiplication problem, "each friend"
I am so sorry if this is wrong, Hope you have a good day/night.
what additional information is needed to show that abc def by asa
To prove congruence using SAS Theorem, you must understand that pairs of two angles are congruent as well as the pair of sides that are next to one of the specified angles.
What is triangle?In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
All triangles are contained in a single plane if all geometry is on the Euclidean plane, but in higher-dimensional Euclidean spaces, this is no longer the case.
The definition of the terminology used to classify triangles can be found on the first page of Euclid's Elements, which dates back more than two thousand years. In modern classification, names are either directly transliterated from Euclid's Greek or translated from Latin.
Hence, To prove congruence using S Theorem, you must understand that pairs of two angles are congruent as well as the pair of sides that are next to one of the specified angles.
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In a school of 900 students, 46% of the students walk to school and 35%
travel by bus. The rest travel by other means.
What percentage of the students travel by other means?
Work out how many students use each mode of transport to school.
A Parish Council budgeted $500 000 for refuse removal. At the end of the
year they worked out that they had spent 135% of the amount budgeted.
How much did they spend on refuse removal?
Answer:
19% travel by other means.
414 students walk to school.
315 students take the bus to school.
171 students travel by other means.
They spent $675,000.
Step-by-step explanation:
100 - (46 + 35) = 19
900 * 0.46 = 414
900 * 0.35 = 315
900 * 0.19 = 171
500,000 * 1.35 = 675,000
what is the area of the figure ? answers a. 12 units2 b. 17 units 2 c. 16 units 2 d. 24 units2 e. none
9514 1404 393
Answer:
17 square units
Step-by-step explanation:
There are several ways you can divide this figure into areas that are easily computed.
One that comes to mind is to consider the triangle that would include the missing area at lower right. That triangle would have a base of 6 and a height of 8, so an area of ...
A = (1/2)bh
A = (1/2)(6)(8) = 24 . . . . square units
The part at lower right that is cut out is a sort of reversed L-shape that is 3 squares along the bottom and 4 more up the side, for a total of 7 squares.
Then the area of the shaded part is ...
A = 24 - 7 = 17 . . . . square units
How much, including taxes of 12%, would you pay for an item with a retail price of $194.95?
Answer:
$217.88
Step-by-step explanation:
12% of 194.95 plus the original cost of 194.94 equals the total
1.12*194.54 = $217.8848
Rounded: $217.88
Can someone solve this Quadratic Equation using the formula (x=-b+and minus under the plus, then square root b^2-4ac divide in the bottom with 2a)
1. x^2=-5x+2
2.x^2+4x+17=8-2x
Step-by-step explanation:
We need to solve the given quadratic equations.
1.
\(x^2=-5x+2\\\\x^2+5x-2=0\)
Using the formula to find solutions.
We have, a = 1, b = 5 and c = -2
So,
\(x=\dfrac{-5\pm \sqrt{5^2-4(1)(-2)} }{2}\\\\x=0.37,-5.37\)
2.
\(x^2+4x+17=8-2x\\\\x^2+4x+17-8+2x=0\\\\x^2+6x+9=0\)
We have,
a = 1, b = 6 and c = 9
\(x=\dfrac{-6\pm \sqrt{6^2-4(1)(9)} }{2}\\\\x=-3,-3\)
Hence, this is the required solution.
1. An acrobat is on a platform that is 25 feet in the air. She jumps down
at an initial vertical velocity of 4 ft/s. Write a quadratic function to
represent the height h of the acrobat t seconds after the jump.
If a safety net is placed 5 feet above the ground, how long will it take
for her to land safely on the net?
It will take the acrobat 1/4 of a second to land safely on the net.
What is velocity?Velocity is a physical quantity that measures the rate at which an object moves in a particular direction. It is measured in terms of distance traveled per unit of time, usually expressed in terms of meters per second (m/s). Velocity is a vector quantity, meaning it has both a magnitude and a direction. It is an important concept in physics and is used to understand the motion of objects and forces.
The quadratic equation representing the height h of the acrobat t seconds after the jump can be written as follows: \(h=-16t^2+4t+25\).
To find the time it takes for the acrobat to land safely on the net, we need to solve for t when h=5. We can do this by substituting 5 for h into the equation and solving for t:
\(h=-16t^2+4t+25\\\\5=-16t^2+4t+25\\\\=-16t^2+4t-20=0\\\\(4+\sqrt{64})/(-32)=t\\ \\t=(4+8)/(-32)\\\\t=1/4\)
Therefore, it will take the acrobat 1/4 of a second to land safely on the net.
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What is the cost of 1 apple and of 3 apples?
How do you know
Answer:
We find an easier point on the line to work out the gradient
4, 3 point is best as its a clearly shown value.
3/4 x 1 = 0.75
3/4 x 3 = 2.25
The cost of 1 apple = $0.75 and 3 apples = $2.25.
What is Graph?Graph is a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.
and collection of all points whose coordinates satisfy a particular relation (like a function). A group of edges and vertices that connect pairs of vertices.
Given graph shows the relation between no. of apple's and cost of apple in $. x axis shows no. of apples and cost on y axis.
from graph we find that cost of 2 apples is $1.5
cost of 1 apple = 1.5/2 = $0.75
cost of 3 apples = 3 x 0.75 =$2.25
Hence the cost of 1 apple is $0.75 and 3 apple cost is $2.25.
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2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Exactly 120 years ago, students planted a tree in front of their school. Since then, the tree has grown 33 meters taller and the distance around the trunk has increased by 3 meters. Use pencil and paper. Describe how you can use this information to find at least two different unit rates. Then find these unit rates.
Answer: Rate of tree's height per year = 0.275 m per year.
Rate of tree's trunk per year = 0.025 m per year.
Step-by-step explanation:
Given data,
Exactly 120 years ago, students planted a tree in front of their school
Since then, the tree has grown 33 meters taller
The distance around the trunk has increased by 3 meters.
Define Unit rate :
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
So, we can write,
There are 2 various unit rates in this:
The increase of the tree's height per year
The increase of the tree's trunk per year
Let us assume,
The increase of the tree's height per year = x
The increase of the tree's trunk per year = y
we can solve it :
Rate of tree's height per year x = 33m / 120 years
x = 0.275 m per year.
Rate of tree's trunk per year y = 3m / 120 years
y = 0.025 m per year.
Therefore,
Rate of tree's height per year = 0.275 m per year.
Rate of tree's trunk per year = 0.025 m per year.
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What is the value of the expression?
3 • [(30 - 8) ÷ 2 + 2]
Answer: 39
Step-by-step explanation:
30-8=22
22/2=11
11+2=13
13 times 3 =39
PLEASE ACCOMIDATE I WILL GIVE 5 STAR IF AWNSER
A six-sided composite figure. A vertical line on the left is labeled 4 meters. The base is labeled 9 meters. There is a small portion from the vertical line that is parallel to the base that is labeled 3 meters. This portion leads to two segments that come to a point, and from that point, there is a height of 3 meters labeled.
What is the total area of the figure?
75 m2
63 m2
61.5 m2
45 m2
Based on the description, the total area of the figure would be 45 square meters.
How to find the total area of the figure?To find the total area of the figure, we need to divide it into two triangles and one rectangle.
The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.
The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.
Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:
36 + 4.5 + 4.5 = 45 square meters
So the answer is 45 m2.
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I NEED THE ANSWER FOR THIS INEQUALITY ASAP 30+6r ≤ 100
don't mind the dirty white board lol
Jeff's shipping service charges $8 for the first package and $2 for each additional package. Use a linear equation to determine the cost to ship 8 packages.
Answer: 22
Step-by-step explanation:
The linear equation to determine the cost to ship 8 packages is x=22.
Given that, Jeff's shipping service charges $8 for the first package and $2 for each additional package.
What is a linear equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form linear equation is Ax+B=0.
Let the total charge be $x.
Now, x=8+(8-1)2
⇒x=8+14
⇒x=22
Therefore, the linear equation to determine the cost to ship 8 packages is x=22.
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URGENT DUE IN FEW MINS6th grade math Calculate to TOTAL Surface Area.
Do NOT count the surface under the pyramid.
The surface area of the solid is 281 ft².
Given that, a solid figure made of a rectangular prism and a square pyramid,
We need to find its surface area,
To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,
So,
Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,
= 2×5×5 + 2(4·12+12·5+4·5)-5²
= 50+256-25
= 281 ft²
Hence the surface area of the solid is 281 ft².
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evaluate cos(sin^-1 x0)
Answer:
Pull terms out from under the radical, assuming positive real numbers.
0
Step-by-step explanation:
The table describes the quadratic function p(x).
x p(x)
−4 24
−3 9
−2 0
−1 −3
0 0
1 9
2 24
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 3
p(x) = 2(x + 1)2 − 3
p(x) = 3(x − 1)2 − 3
p(x) = 3(x + 1)2 − 3
Step-by-step explanation:
\(p(x) = 3 {(x + 1)}^{2} - 3\)
Which event is considered neither likely nor unlikely?
A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.
According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.
Which event is considered neither likely nor unlikely?In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:
A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.
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Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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Triangle FGH, with vertices F(-5,-7), G(-2,-5), and H(-6,-2), is drawn inside a rectangle, as shown below.
The area of the triangle FGH is equal to 13√10 unit²
Given that the vertices;
F(-5,-7), G(-2,-5), and H(-6,-2)
We have to find the area of the triangle as;
Area of triangle = 1/2bh²
Here,
Area of triangle FGH = 1/2 (GH) (FG)²
Now,
Length of FG = √26
Length of GH = √10
Then,
Area of triangle FGH = 1/2 (GH) (FG)²
Area of triangle = 1/2 × √10 × √26²
Area of triangle = 1/2 × √10 × 26
Area of triangle FGH = 13√10
Therefore,
The area of the triangle FGH = 13√10 unit²
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a line passes through the point (6,-1) and is perpendicular to the line with equation "-2+3y=-6" which is the equation of the line
Answer:
y = 1/3x
Step-by-step explanation:
PLEASE HELP
I need this done in 15 minutes
Triangle ABC has vertices at A(-5,2), B(1,3), and C(-3,0). Determine the coordinates of the vertices for the image of the pre image is translated 4 units right.
A. A’(-9,2),B’(-3,3), C’(-7,0)
B. A’(-4,6),B’(0,7),C’(1,0)
C. A’(-1,2),B’(5,3),C’(1,0)
D. A’ (-5,-2), B’(-1,-1), C’(-3,-4)
The coordinates of the vertices for the image of the pre image is translated 4 units right are:
C. A' = (-1,2), B' = (5, 3), C' = (1,0)
How to determine the coordinates of the vertices for the image of the pre image is translated 4 units right?A geometric transformation involves taking a geometric object as input and producing a new geometric object as output. We have different types of geometric transformations such as translation, rotation, reflection etc.
A translation moves a geometric object a certain distance in a certain direction. Translation to the right means movement in the positive x-direction.
Thus, the coordinates of the vertices for the image of the pre image if it is translated 4 units right can be obtained by adding 4 to x-coordinate values while y-coordinate values remain the same. That is:
A(-5,2) becomes A'(-5+4, 2) = (-1,2)
B(1,3)becomes B'(1+4, 3) = (5, 3)
C(-3,0) becomes C'(-3+4, 0) = (1,0)
Therefore, the coordinates of the vertices of the image of triangle ABC after it is translated 4 units right are (-1, 2), (5, 3), and (1, 0).
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write an equation in slope intercept form of the line with the given characteristics:
through: (-3,1), slope = 2
please help this is due in 10 minutes!!
Answer:
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
Step-by-step explanation:
The slope-intercept form of an equation is given by:
\(y = mx+b\)
here m is the slope of the line and b is the y-intercept
Given
\(m = 2\)
Putting m=2 in the general form
\(y = 2x+b\)
In order to find the y-intercept, the given point (-3,1) will be substituted in the equation
So
\(1 = 2(-3)+b\\1 = -6+b\\b = 1+6\\b = 7\)
Putting the value of b
\(y = 2x+7\)
Hence,
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
center =
3. A diameter of a circle has endpoints P(-7,-4) and Q (3,2).
a. Find the center of the circle (hint use midpoint formula)
b. Find the radius. If your answer is not and integer, express in radical form. (hint use
distance formula)
c. Write an equation for the circle.
17
radius=
equation of the circle:
work:
< 2/3
I
>
a. The center of the circle is (-2, -1).
b. The radius of the circle is √136.
c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:
Midpoint = ((-7 + 3)/2, (-4 + 2)/2)
= (-4/2, -2/2)
= (-2, -1)
Therefore, the center of the circle is at the coordinates (-2, -1).
b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.
Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)
Using the distance formula:
Distance = √[(3 - (-7))^2 + (2 - (-4))^2]
= √\([(3 + 7)^2 + (2 + 4)^2]\)
= √\([10^2 + 6^2\)]
= √[100 + 36]
= √136
Therefore, the radius of the circle is √136.
c. The equation for a circle with center (h, k) and radius r is given by:
\((x - h)^2 + (y - k)^2 = r^2\)
In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:
\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)
\((x + 2)^2 + (y + 1)^2 = 136\)
Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
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Ronnie sales wooden toothpicks it cost him $.10 to make a box of toothpicks he charges $1.20 per box toothpicks how many toothpicks does he need to sell to profit $1000
Answer:
910 boxes of toothpicks
Step-by-step explanation:
Create an equation to represent the situation, and let x represent the number of boxes of toothpicks.
1.20x - 0.1x = 1000
1.1x = 1000
x = 909.09
Round up to the nearest whole number:
= 910
So, Ronnie would have to sell 910 boxes of toothpicks to profit $1000.
10- (6m + 7) what is this
Answer:
3 + 6m
Step-by-step explanation:
If you are just trying to get a simplified term, then follow these steps.
10 - (6m + 7)
10 - 7 + 6m
3 + 6m
PLEASE GIVE STEP BY STEP EXPLANATION !!
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x): A graph with two linear functions; f of x passes through 0, negative 1 and 5, 14, and g of x passes through negative 6, negative 1 and negative 1, 14. Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points) Part B: Solve for k in each type of transformation. (4 points) Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
The two types of transformations that can be used to transform f(x) to g(x). g (x) = f(x) + 16 and g (x) = f(x + 8)
ABC has vertices at A (12, 8), B (4, 8)
What is the equation about?f(x)= 0, -1 ,5,14
g(x)= -6, -1, -1, 14
g(x)=f(x)+k
-6= 0+k
k= -6
A) g (x) = f(x) + 16 and
g(x) = f(x + 8)
B) g(x)=f(x)+k
-1= -1+ k
k= -1+1=0
g(x)=f(x)+k
-1= 5+k
k= -1-5=-6
g(x)=f(x)+k
14= 14+k
k= 0
k= -6,0,-6,0
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Assume that round widgets from a manufacturing process have diameters that are normally distributed with mean 135.75 centimeters and standard deviation 1.85 centimeters. The chances that a randomly selected widget has diameter between 129 centimeters and 143 centimeters is closest to which of the following?a. 99,999 out of 100,000.
b. 99 out of 100.
c. 999 out of 1,000.
d. 9,999 out of 10,000.
Answer:
b. 99 out of 100.
Step-by-step explanation:
We solve for this using z score formula
z-score formula is given as:
z = (x - μ)/σ
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
a) x = 129cm, μ = 135.75cm, σ = 1.85cm
z = (129- 135.75)/1.85
z = -3.64865
Finding the Probability value of the z score from the z table:
P(x = 129) = P(z = -3.64865)
= 0.00013181
b) x = 143 cm, μ = 135.75cm, σ = 1.85cm
z = (143- 135.75)/1.85
z = 3.91892
Finding the Probability value of the z score from the z table:
P(x = 143) = P(z = 3.91892)
= 0.99996
The chances that a randomly selected widget has diameter between 129 centimeters and 143centimeters
= P(x = 143) - P(x = 129)
= P(z = 3.91892) - P(z = -3.64865)
= 0.99996 - 0.00013181
= 0.99982819
Converting to percentage
= 0.99982819 × 100
= 99.982819%
Therefore, option b. 99 out of 100 is the correct answer
URGENT! Can someone please help?
a. The missing values of the logarithm expression is log₃(40).
b. The missing values of the logarithm expression is log₅(8).
c. The missing values of the logarithm expression is log₂(1/25).
What is the missing of the logarithm expression?The missing values of the logarithm expression is calculated as follows;
(a). log₃5 + log₃8, the expression is simplified as follows;
log₃5 + log₃8 = log₃(5 x 8) = log₃(40)
(b). The log expression is simplified as;
log₅3 - log₅X = log₅3/8
log₅X = log₅8
X = 8
(c). The log expression is simplified as;
-2log₂5 = log₂Y
log₂5⁻² = log₂Y
5⁻² = Y
1/25 = Y
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