Answer:
1/27
Step-by-step explanation:
To find the probability of a defective jelly bean
P(defective) = number defective/ total
=2/54
= 1/27
Trigonometry Problem, please help and explain
The bottom triangle is a 30°-60°-90° triangle that has the special property that its hypotenuse is twice the length of the shortest leg, 20√3.
The upper triangle is a 45°-45°-90° triangle, in which the hypotenuse is longer than one of its legs by a factor of √2.
All this to say x = √2 × 20√3 = 20√6 (A).
To use the two sample t procedure to perform a significance test on the difference of two means, we assume:
We assume that the population standard deviation are known, the samples from each population are independent, the population is normally distributed if we use t test of two samples.
Given T test of significance has been used.
T test is a statistical test that is like z test. Z test is used when n>30 and t test is used when n<30. It is used in hypothesis testing.
We know that there are many test which can be used to test a hypothesis.
The requirements to perform a two sample t procedure are as follows:
1)The two samples have equal variance. Hence the variance should be known.
2) The samples for which the two sample t procedure is performed must be independent.
3) The data are in alignment with the normal distribution probability.
4) The sample are random samples taken from different respective population.
Hence when two sample t procedure is performed we have to assume population standard deviation is known and population is normally distributed.
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A boy had a packet of 320 candies with 2 different flavours. 7/16 were orange flavour and the rest were lemon. He gave his friend 30 orange candies and some lemon ones. As a result, the ratio of the number of orange candies to that of lemon became 11:15. How many lemon candies did he give his friend
30 lemon candies he give his friend.
It is given that a boy had 320 candies. There were 2 flavors. 7/16 were orange flavor and the rest were lemon. He gave his friend 30 orange candies and some lemon ones.
320 (7/16) = 140 were orange
320 - 140 = 180 were lemon
Let x be the number of lemon ones he gave away
So,
[ 140 - 30 ] / [ 180 - x ] = 11/15
110 = (11/15) ( 180 - x )
(15/11) (110) = 180 - x
150 = 180 - x
x = 180 - 150 = 30
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Writing an Equation from a Graph
10
8
*
x
-10 8 6 4
2 4 6 8 10
-2
-6
-8
-10-
Intro
6
Yo
2469 9
Study the graph of the line. Use the drop-down menu
to find its equation.
The equation of the line is
Done
Answer:
y = x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-0}{0-(-2)}[/tex] = [tex]\frac{2}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
the line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = x + 2 ← equation of line
Question 8
Which equation best represents the set-up for solving the following.
A
9 + 16 = x
B
x + 9 = 16
C
x2 + 162 = 92
D
92 + x2 = 162
The equation that best represents the set-up is (d) 9^2 + x^2 = 16^2
How to determine the equation?The complete question is in the image
The value of x is calculated using the following Pythagoras theorem
16^2 = x^2 + 9^2
Rewrite as:
9^2 + x^2 = 16^2
Hence, the equation that best represents the set-up is (d) 9^2 + x^2 = 16^2
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Polygons ABDC and A′B′D′C′ are shown on the following coordinate grid:
A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon ABDC is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex D on ordered pair 5, negative 3 and vertex C on ordered pair 1, negative 3. A polygon A prime B prime D prime C prime is shown with vertex A prime on ordered pair 1, 2 , vertex B prime on ordered pair 1, 4, vertex D prime on ordered pair 2, 5 and vertex C prime on ordered pair 2, 1.
What set of transformations is performed on ABDC to form A′B′D′C′?
A: A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
B: A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin
C: A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
D: A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin
(Sorry if its hard to understand)
Answer: A
Step-by-step explanation:
Let's first review how turning about the origin changes a point's coordinates:
After rotating and translating some points, one can see the following pattern:
180° Rotation: (x,y) -> (-x,-y)90° Clockwise Rotation: (x,y) -> (y, -x)90° Counter-clockwise Rotation: (x,y) -> (-y, x)Translation a units to the left: (x, y) -> (x-a, y)Using these patterns will make it much easier to find the correct series of transformations than graphing each one.
A: A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
Using the patterns found above, this set of transformations would make (x,y) move first to (-y, x), then (-y-1, x).
A(2,-2) -> A'(1,2)B(4,-2) -> B'(1,4)D(5,-3) -> D'(2,5)C(1,-3) -> C'(2,1)B: A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin
This would make (x,y) move first to (x-1,y), then to (-y, x-1)
A(2,-2) -> A'(2, 1)B(4,-2) -> B'(2,3)D(5,-3) -> D'(3,4)C(1,-3) -> C'(3,0)C: A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left
This would make (x,y) move first to (y, -x), then (y-1, -x)
A(2,-2) -> A'(-3, -2)B(4,-2) -> B'(-3,-4)D(5,-3) -> D'(-4, -5)C(1,-3) -> C'(-4, -1)D: A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin
This would make (x,y) move first to (x-1,y), then (y, -x+1)
A(2,-2) -> A'(-2, -1)B(4,-2) -> B'(-2, -3)D(5,-3) -> D'(-3, -4)C(1,-3) -> C'(-3, 0)Therefore, the answer is A, as only it correctly matches to polygon A'B'D'C'.
Three rectangular-shaped holes have been drilled passing all the way through a solid 3 × 4 x 5 cuboid. The diagrams show the front, side and top views of the resulting block. What fraction of the original cuboid remains?
The volume of a cuboid implies the product of its length, width, and height. So that the fraction of the original cuboid that would remain is [tex]\frac{7}{15}[/tex].
A cuboid is a solid derived from a rectangle, thus it has rectangular faces. Its volume can be determined by;
volume of a cuboid = length x width x height
In the given question, the volume of the original cuboid can be determined as;
volume = 3 x 4 x 5
= 60 Cubic units
Since holes can not be drilled at the intersection of the holes, then the volume of the hole has to be determined.
To determine the volume of the hole drilled, we have:
(6 x 3) + (3 x 2) + (2 x 2) = 28 Cubic units
So that the fraction of the original cuboid that would remain = [tex]\frac{28 cubic units}{60 cubic units}[/tex]
= [tex]\frac{7}{15}[/tex]
Therefore, [tex]\frac{7}{15}[/tex] of the original cuboid would remain.
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A bag contains 14 good eggs and 7 bad ones. if one egg is picked at random fr the bag what is the probability that it is goods
Answer:
2/3
Step-by-step explanation:
expected over total
14/14+7 = 14/21 = 2/3
[tex]bad \: eggies = 7 \\ good \: eggies = 14 \\ total \: number \: of \: eggs = 21[/tex]
[tex]let \: event \: a = getting \: a \: good \: egg[/tex]
[tex]p(a) = \frac{number \: of \: good \: eggs}{total \: number \: of \: eggs} = \frac{14}{21} = \frac{2}{3} [/tex]
What is thirty six times thirty eight divided by three
Answer:
456Step-by-step explanation:
What is thirty six times thirty eight divided by three
36 * 38 : 3 =
1368 : 3 =
456
Find the remainder of the division. 2001 • 2002 • 2003 + 2004^3 by 7.
Show steps.
Answer:
[tex]1[/tex]
Step-by-step explanation:
The gist of modular arithmetic in a nutshell: the numbers [tex]a[/tex] and [tex]b[/tex] are considered to be congruent by their modulus [tex]m[/tex] if [tex]m[/tex] is a divisor of their difference.
In mathematics: [tex]a \equiv_{m} b \Leftrightarrow (a - b) \vdots m[/tex]
Exemplifying this: [tex]6 \equiv_{7} -1[/tex] because [tex]6 - (-1) = 6 + 1 = 7[/tex], [tex]7 \vdots 7[/tex].
Let us have following equivalences: [tex]a \equiv_{m} b[/tex] and [tex]c \equiv_{m} d[/tex], then: [tex](a - b) \vdots m[/tex] and [tex](c - d) \vdots m[/tex] by definition.
Properties:
1. [tex]a + c \equiv_{m} b + d \Leftrightarrow ((a + c) - (b + d)) \vdots m \Leftrightarrow (a + c - b - d) \vdots m \Leftrightarrow ((a - b) + (c - d)) \vdots m[/tex].
2. [tex]a - c \equiv_{m} b - d \Leftrightarrow ((a - c) - (b - d)) \vdots m \Leftrightarrow (a - c - b + d) \vdots m \Leftrightarrow ((a - b) - (c - d)) \vdots m[/tex].
3. [tex]ac \equiv_{m} bd \Leftrightarrow (ac - bd) \vdots m \Leftrightarrow (ac - bc - bd + bc) \vdots m \Leftrightarrow (c(a - b) + b(c - d)) \vdots m[/tex].
4. What if we have [tex]a \equiv_{m} b[/tex] twice? If we abide by property 3, we can come to the conclusion that [tex]a^2 \equiv_m b^2[/tex]. It is fair enough that there is room for the equivalence [tex]a^n \equiv_{m} b^n[/tex].
[tex]2001 * 2002 * 2003 + 2004^3 = 2002 * (2001 * 2003) + 2004^3 \equiv_{7} 0 * (2001 * 2003) + 2^3 \equiv_{7} 0 + 8 \equiv_{7} 8 \equiv_{7} 1[/tex]
Notice that [tex]2002 \vdots 7[/tex] already. There is no need to consider the rest multipliers because the product is [tex]0[/tex] anyways, we can cut corners in this regard.
We used property 4.
Recapitulating this: our remainder is [tex]1[/tex].
How many pages should the manufacturer advertise for each cartridge if it wants to be correct 99% of the time
The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
z-score is the number of standard deviations from the mean value of the reference population
99%=0.99
The z-value associate with 0.99 is 2.33:
2.33 = (X - 12425) / 595:
X - 12425 = 2.33 * 595
X = (2.33 * 595) + 12425
X = 138111
Therefore, The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time
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PLEASE HELP!!! FINDING PROBABILITY MATH!!!
i need the answer to question 2, 3, and 4. question 1's answer is 9/28 & 32.1%.
The probability that a person wins the game is 32.1%
How to illustrate the probability?Based on the information given, the following can be depicted. It should be noted that there are 6 sides as well as 4 cards.
Therefore, the numbers on the dice i.e from 1 - 6 will be represented 4 times each. This gives a total of (4 × 6) = 24. There are also 4 cards. The total in sample space will now be:
= 24 + 4 = 28
The frequency table will be such that 28 or more have a relative frequency of 9. Therefore, the probability that a person wins the game will be:
= 9/28 = 32.1%
When you win 25% of the time, this illustrates that the number of products picked will be:
= 25% × 28
= 7 products.
The probability of participants achieving a winning score of 36 or higher in four consecutive attempts will be:
= 1/6⁴ = 1/1296
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subtracting polynomial expressions
Answer:7m^5 - 3m^3 + 9
Step-by-step explanation: You’d have to remove the brackets, but remember that the second has to have everything multiplied by -1, because there’s a minus sign in front of the second bracket. Then you’d group like terms, then add or subtract. Here’s the step by step
6m^5 + 3 - m^3 - 4m + m^5 - 2m^3 + 4m + 6
2. 6m^5 + m^5 - 2m^3 - m^3 + 4m - 4m + 6 + 3
Subtract or add what’s needed, which would be figures with the same variable and coefficient.
3. 7m^5 - 3m^3 + 9
After this, there’s nothing you can add, since the remaining figures don’t have the same variable.
Hope it’s clear and this wasn’t that long
help me please i need help
Answer:
The answer is 74.
Step-by-step explanation:
To find the area, you have to divide the shape into rectangles. To solve, I divided it like the image above. (Sorry if the lines are squiggly I'm trying to do this fast)
So first, now that we've divided it into smaller rectangles, we find the area of the smaller ones. Remember, the area of a rectangle is length * height.
Since the two smaller rectangles are the same, we just need to find one and multiply it by 2.
[tex]3 \times 5=15 \\15\times 2=30[/tex]
So the area of the two smaller ones is 30. Now we need to find the big rectangle and add it together. We know that the length is 11, but we don't know the height. The height of the small rectangles was 5, so the height is 4 since 9 - 5 = 4. So to finish up, we do this:
[tex]11\times4=44 \\ 44 + 30=74[/tex]
So our final answer is 74.
Question 6 of 10
If a student had homework 67 days out of 100, what fraction and what
percentage of days did the student not have homework? Choose two
answers.
Answer: 33/100, 33%
Step-by-step explanation:
I can't choose two answers if you don't give me the possible answers
67 days of homework = 100-67 or 33 days without homework.
33/100 or 33%
Step-by-step explanation:
100% = 100 days
1% = 100%/100 = 100/100 = 1 day
the student does NOT have homework on 100-67 = 33 days.
that is 33 out of 100 days or on 33/100 of days.
33 days are 33×1% = 33%
In a flower shop, if 5929 plants are to be set in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.
Answer:
77
Step-by-step explanation:
Based on the question, we can deduce the arrangement of the plants is in a form of a square. (Number of rows = Number of Columns).
In that case, the answer is very straightforward, just square root the number of plants to be planted:
[tex]\sqrt{5,929} \\= 77[/tex]
This means there would be 77 rows of 77 plants per row.
Question 9 of 25
Which of the sequences is an arithmetic sequence?
OA. -3, -10,-17, -24, -31, ...
OB. 3, 6, 9, 15, 24,...
OC. 1, -2, 3, 4, 5, ...
OD. 1, 8, 16, 24, 32, ...
Answer:
B.
Step-by-step explanation:
an arithmetic sequence is B
Answer:0c
Step-by-step explanation:
what is the chance to get 4 items with 10% chance of each occurring, while there 8 items in total with other 4 items having a 90% chance of each occurring
Step-by-step explanation:
Simple events in probability have a certain chance of happening. For example, a 10% chance of rain today. When two or more probabilities are possible, they are added together to get the total probability. A 10% chance of snow and a 15% chance of hail would mean a 10% + 15% = 25% chance of bad weather. This article will show you how to find the probability of a simple event happening.
In the figure below AOD is a diameter of the circle cetre O. BC is a chord parallel to AD. FE is a tangent to the circle. OF bisects angle COD. Angle BCE = angle COE = 20° BC cuts OE at X
Calculate;
(a) angle BOE
(b) angle BEC
(c) angle CEF
(d) angle OXC
(e) angle OFE
Step-by-step explanation:
∠ACB=90∘
[∠ from diameter]
In ΔACB
∠A+∠ACB+∠CBA=180∘
∠CBA=180∘
−(90+30)
∠CBA=60∘ (1)
In △OCB
OC=OB
So, ∠OCB=∠OBC
[The sides are equal]
∠OCB=60∘
∠OCD=90∘
∠OCB+∠BCD=90°
∠BCD=30∘ (2)
∠CBO=∠BCO+∠CDB
[external ∠ bisectors]
60=30+∠CDB
∠CDB=30° (3)
from (2) & (3)
BC=BD
[The ∠.S are equal]
Can someone help me. What number is it can anyone help?
Step-by-step explanation:
2k=3×4
2k=12
2k/2=12/2
k=6
Answer:
k = 6
Step-by-step explanation:
In Ratio Questions , The Denominator takes the same Ratio as the Numerator and vice versa
so for Question , 4 is double 2
Then k must be double of 3
Then k=2*3 = 6
Find the surface area of the composite solid.
The area of the composite solid in the image given is: 399.6 m².
What is the Surface Area of a Composite Solid?The surface are of the composite solid = area of the 3 triangular face of the top solid + area of the triangular base of the bottom solid + 3(area of rectangular face of the bottom solid).
Area of the 3 triangular face of the top solid = 3(1/2bh) = 3(1/2 × 8 × 7) = 84 m²
Area of the triangular base of the bottom solid = 1/2bh = 1/2 × 8 × 6.9 = 27.6 m²
3(area of rectangular face of the bottom solid) = 3(length × width) = 3(12 × 8) = 288 m²
Surface area of the solid = 84 + 27.6 + 288 = 399.6 m²
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The diagram shows MNP. Which term describes point Q?
M
OA. Incenter
OB. Orthocenter
C. Centroid
OD. Circumcenter
N
P
Answer:
answer is A - incenter just did it
Step-by-step explanation:
the question is on the image.
Answer:
18+[tex]6\sqrt{5}[/tex]
Step-by-step explanation:
Since the helicopter flies east for six miles and north for 12 miles, it flies 18 miles. Then on the way back, it flies an unknown amount of miles. the path the helicopter takes is in the form of a triangle, and the path back is the hypotenuse of the triangle. To find the hypotenuse, we can do [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse. We do
[tex]6^2+12^2=c^2\\36+144=c^2\\180=c^2\\\sqrt{180}=c\\ 6\sqrt{5}=c[/tex]Therefore, the total distance flown by the helicopter is 18+[tex]6\sqrt{5}[/tex].
An appliance repair person charges $60 for a service call and a labor charge of $30 per hour. What is the rate of change represented in this situation? (PLEASE INCLUDE HOW TO SOLVE IT TYSM)
Answer:
30$ (the labor charge per hour)
Step-by-step explanation:
The rate of change can be described as the slope, or how much the y-value is going to change as the x-value increases by 1. So the first step would be to understand what is x and what is y in this context. Well usually y is the dependent variable and x is the independent variable, so as x changes y changes as a result. In this case the y would represent the price the repair person charges and the x would represent the amount of hours, since as the amount of hours changes, the price changes. And since the person charges 30$ per hour, that means the rate of change is 30, since as the amount of hours increases by 1, the price or amount charged increases by 30$
Answer: $30
Step-by-step explanation:
The appliance repair person charges $30 per hour, meaning the rate of change is 30
A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio of the area of the larger hexagon to the area of the smaller hexagon
4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
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How tall is the tower?
Answer:
x=33ft
height of tower=33+6=39ft
Consider a standard 52-card deck of cards with 13 card values (Ace, King, Queen, Jack, and 2-10) in each of the four suits (clubs, diamonds, hearts, spades). Answer each of the below. Note that "or" in this question refers to inclusive, not exclusive, or. If a card is drawn at random, what is the probability that it is a heart?
The probability that it is a heart = 1/4 or 0.25.
Total standard cards = 52
The probability of choosing a heart from a deck of cards with 13 card values (Ace, King, Queen, Jack, and 2-10) in each of the four suits (clubs, diamonds, hearts, spades) is given by =
P(Heart) = number of hearts / total number of cards
= 13 / 52
= 1/4 or 0.25
Hence, The probability that it is a heart = 1/4 or 0.25.
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Question 4(Multiple Choice Worth 1 points)
(08.03 LC)
What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?
x = the quantity of negative 3 plus or minus the square root of 29 all over 2
x = the quantity of 3 plus or minus the square root of 29 all over 2
x = the quantity of 3 plus or minus the square root of 11 all over 2
x = the quantity of negative 3 plus or minus the square root of 11 all over 2
i know its the frist or second one i did the test i am also in flvs :)
Calcula de dos maneras diferentes
1) (-12).8
2) 14.(-5).(-11)
Porfa
The value of (-12) . 8 is -96 and the value of 14.(-5).(-11) is 770
How to solve the expressions?The question implies that we calculate the expressions in two different ways.
1) (-12).8
Way 1:
We have:
(-12).8
This means
(-12) . 8 = -12 * 8
Evaluate
(-12) . 8 = -96
Way 2
We have:
(-12).8
This means
(-12) . 8 = -12 * 8
Express 8 as 4 + 4
(-12) . 8 = -12 * (4 + 4)
Expand
(-12) . 8 = -12 * 4 -12 * 4
Evaluate the products
(-12) . 8 = -48 - 48
Evaluate the sum
(-12) . 8 = -96
Hence, the value of (-12) . 8 is -96
2) 14.(-5).(-11)
Way 1:
We have:
14.(-5).(-11)
This means
14.(-5).(-11) = 14 * -5 * -11
Evaluate
14.(-5).(-11) = 770
Way 2
We have:
14.(-5).(-11)
This means
14.(-5).(-11) = 14 * -5 * -11
Multiply -5 and -11
14.(-5).(-11) = 14 * 55
Multiply 14 and 55
14.(-5).(-11) = 770
Hence, the value of 14.(-5).(-11) is 770
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△TUS∼△CBS
Two similar triangles. Triangle TUS is similar to triangle CBS. Segment BU and segment CT pass through point S. Side TU and side BC are horizontal. Side BS has a length of 8 point 5. Side CS has a length of 7 point 5. Side US has a length of 42 point 5. The length of side TS is unknown, and is labeled x.
What is the value of x?
Enter your answer as a decimal in the box.
x
=
The value of x from the diagram is 42. 5
How to determine the valueSince we have that △TUS∼△CBS
Line BS = 8. 5
Line CS = 7. 5
Line US = 42. 5
TS = x
To find TS, we can see that line US is equivalent in length to line TS
If line US = 42. 5, then line TS = 42. 5
TS = x = 42. 5
Thus, the value of x from the diagram is 42. 5
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