The slope is zero. Slope formula is Y=mx+b and since B is 1.5 and it is a straight line, Y=mx+1.5. What plus 1.5 is 1.5? 0. Hope this helps.
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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How do you simplify (2/3) with a sqrt of 2
The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.
One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran? (Round to the nearest tenth)
Mai travels abοut 4.2 feet per secοnd faster than Kiran.
What is circumference?Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.
The circumference οf Kiran's ring is:
C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft
The circumference οf Mai's ring is:
C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft
Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.
The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:
V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s
And the speed οf Mai in feet per secοnd is:
V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s
The difference in their speeds is:
V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s
Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.
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-4x=32 what is the answer
Answer:
x = -8
Step-by-step explanation:
-8 * -4 = 32
358 divided by 52
A- 5 r36
B- 6 r46
C- 6 r 40?
D- 6 r 36
Answer:
B
Step-by-step explanation:
u just do the long division <3
hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image
Answer:
d) 189.3 in²
Step-by-step explanation:
Area of rectangle is,
→ w × l
→ 10 × 15
→ 150 in²
Area of semi circle is,
→ (1/2)πr²
→ (1/2) × 3.14 × (5)²
→ 1.57 × 25
→ 39.3 in²
Now the total area will be,
→ 150 + 39
→ 189.3 in²
Thus, total area is 189.3 in².
In an analysis of variance with a between-groups population variance estimate of 30 and a within-groups estimate of 25, the F ratio is A) 25 / (30–25) = 5.00
B) (30–25) / 30 = 0.17 C) 25 / 30 = 0.83
D) 30 / 25 = 1.20
The F ratio is 1.2.
What is statistic?
The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.
30/25 = 1.2
In an ANOVA, this statistic is used in the F test to test the hypothesis that the group means are not equal to one another. The F ratio is calculated as follows:
Fobs=MSB/MSW
30/25 = 1.2
Where MSB is the mean square between the groups and MSW is the mean square within the groups.
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Please answer this question -+ is equals to what
Answer:
It means that there are two answers, a positive one and a negative one.
Step-by-step explanation:
If you get +-5, then you have two answers: +5 and -5
4. What is Probability?
(ii) State the axioms of probability
(iii)Two fair dice are thrown, what is the probability of getting
(a) the sum of 9
(b) two odd numbers
(c) two prime numbers
(d) two factors of 12
4c. What is Statistics?
(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.
(ii) The axioms of probability are:
the non-negativity (that the probability of an event is greater than or equal to zero), and
the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).
(iii) When two fair dice are thrown the probability of getting:
a) The sum of 9 = 1/9
b) Two odd numbers = 1/4
c) two prime numbers = 1/9
d) two factors of 12 = 1/9
(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.
How to find probability when two dice are thrown?To find probability when two dice are thrown, we have:
(a) The sum of 9:
We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways
A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.
(b) Two odd numbers:
We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).
possible outcomes = 9,
So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.
(c) Two prime numbers
We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)
possible outcomes = 4,
So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.
(d) Two factors of 12:
We count the number of ways and divide by the total possible outcomes.
The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways
possible outcomes = 6
Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12
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Summarize what these bond funds have in common.
Vanguard and Fidelity
There are many similarities between Vanguard and Fidelity, but there are also some significant distinctions. Vanguard focuses primarily on long-term, buy-and-hold investing.
What are bond funds?Fidelity, on the other hand, caters to investors who prefer a more hands-on approach.
There are more than 8,300 domestic investment-grade bonds held by the Vanguard Total Bond Market ETF.
Therefore, You'll need to study two (or more) sets of statements, keep track of several phone numbers, access a number of websites, and comprehend and keep track of hundreds of different funds.
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There are many similarities between Vanguard and Fidelity, but there are also some significant distinctions. Vanguard focuses primarily on long-term, buy-and-hold investing. Fidelity, on the other hand, caters to investors who prefer a more hands-on approach.
What do you mean by Bond?Bonds are issued by borrowers to attract capital from investors ready to extend a loan to them for a specific period of time. When you purchase a bond, you are making a loan to the issuer, which could be a corporate, government, or municipality.
By purchasing a bond, you are effectively lending the issuer money. In exchange, they commit to repay you the face amount of the loan on a particular date and to make periodic interest payments—typically twice a year—along the way. Unlike stocks, which grant you ownership rights, bonds issued by corporations do not.
Therefore, Vanguard's primary investment strategy is long-term buy-and-hold investing. On the other hand, Fidelity caters to investors who favor a more active strategy.
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A triangle has angle measurements of 63°, 38°, and 79°. What kind of triangle is it?
Is the following a reflection,
rotation or translation?
find 24% of 165.........................................
Answer:
39.6
Step-by-step explanation:
Answer:
39.6
Step-by-step explanation:
If you need an explanation i can edit the answer and give you one.
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
State where in the ty-plane the hypotheses of the Existence and Uniqueness Theorem are satisfied for the equation y'=(ycot(2t))/(t^2+y^2+1)
We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.
Where in the ty-plane the hypotheses of the existence and uniqueness theorem are satisfiedThe Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:
1. f(t, y) is continuous in the region.
2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.
then there exists a unique solution to the differential equation that passes through any point in the region.
In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:
f(t, y) = (y cot(2t)) / (t² + y² + 1)
This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.
To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:
∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²
Taking the absolute value and simplifying, we get:
|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|
= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|
Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:
1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1
Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.
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At Sammy's Shoe Store, salespeople earn a 12.5% commission on each shoe sale. If Samuel sold $325.50 worth of shoes last week, how much did he make in commission?
Class width
How many houseflies had a wingspan of less than 4.2 millimeters
What portions of the house flies length of 4.8 millimeters or more express as decimal
Answer:
it should be solve with the help of computer, laptop,or mobile because it needs internet and in brainly I will tell you to open on your laptop or computer to ms execl and draw this graph and easy to solve
Step-by-step explanation:
hope it would help you.
please mark me as brainlest
Anne and chima are to share a sum of money in ratio 4:1.Anne obtains #6000.what is chima's share?
Answer:
Chima would obtain 1200
At a zoo in a butterfly enclosure, 5 drops of nectar is sufficient for 2 butterflies. How many butterflies could be fed with 59 drops of nectar?
Answer:
111 can i get brailyist for replying so fast.
Answer:
23
Step-by-step explanation:
\( \frac{2}{5} \times \frac{x}{59} \)
the number of drops of nectar goes on the bottom, and the number of butterflies goes on the top
then you cross multiply to get 5x= 118
solve for × and you get 23.6
for this situation, 0.6 of a butterfly doesn't make sense, so we need to round down.
we round down because it's okay if there's extra nectar, but there can't be less than enough.
you can be 23 butterflies with 59 drops of nectar
What trigonometric expression can be used to find the value of x? Replace a and b with the correct values.
Answer:
x ≈ 8.39
Step-by-step explanation:
You'd have to use the tangent ratio in order to solve for x.
tangent ratio = opposite/adjacent
tan 50° = 10/x
x = 10/tan 50°
x = 8.39099631177
≈ 8.39
The trigonometric expression of tan θ can be used to calculate the value of x.
The value of x can be written as, x = 10/tan 50°.
What are trigonometric ratios?Trigonometric ratios are the ratios of the sides in a right triangle, that are fixed for all angles despite the measurements of the sides.
The various trigonometric ratios are:-
sin θ = perpendicular/hypotenusecos θ = base/hypotenusetan θ = perpendicular/basecot θ = 1/tan θ = base/perpendicularsec θ = 1/cos θ = hypotenuse/basecosec θ = 1/sin θ = hypotenuse/perpendicular.How to solve the question?In the figure, we are asked to find the value of x.
In the given triangle, using the trigonometric expression of tan θ, we can write:
tan 50° = perpendicular/base = 10/x,
or, x = 10/tan 50°.
Thus, the trigonometric expression of tan θ can be used to calculate the value of x.
The value of x can be written as, x = 10/tan 50°.
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Find the volume of a right circular cone that has a height of 5.6 m and a base with a radius of 16.6 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
1615.97 m^3
Step-by-step explanation:
V=πr^2 h/3
V= π (16.6)^2 (5.6/3)
V= 1615.97 m^3
The volume of a cone with a height of 5.6 m and a base with a radius of 16.6 m is 1615.15 cubic meters.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreases to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
We know the volume of a cone is (1/3)πr²h.
Given, A cone that has a height of 5.6 m and a base with a radius of 16.6 m.
Therefore, The volume of this cone is,
= (1/3)π(16.6)²×5.6 cubic meters.
= 1615.15 cubic meters.
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How many eights are there in 41/4?
Answer:
If you are meaning how many times can you subtract 8 from the answer with it still being a positive number, then 1. Otherwise 0
Step-by-step explanation:
What is the area of a triangle whose vertices are X(1, 1), Y(3, -1), and Z(4,4)?
Answer:
Step-by-step explanation:
Note that in this diagram, point A represents point X, point B represents point Y, and point C represents point Z.
From the diagram, it appears as if \(\overline{XZ} \perp \overline{XY}\). To determine if this is the case, we can find the slopes of both segments.
\(m_{\overline{XZ}}=\frac{4-1}{4-1}=1\\m_{\overline{XY}}=\frac{-1-1}{3-1}=-1\)
Since these slopes are negative reciprocals, we know that they are perpendicular.
This means we can use the formula \(A=\frac{1}{2}bh\), where b is the base (XY) and h is the height (XZ).
Note these are interchangeable.Using the distance formula,
\(XY=\sqrt{(3-1)^{2}+(-1-1)^{2}}=2\sqrt{2}\\XZ=\sqrt{(4-1)^{2}+(4-1)^{2}}=3\sqrt{2}\)
This means the area is \(\frac{1}{2}(2\sqrt{2})(3\sqrt{2})=\boxed{6}\)
The theater sells two types of tickets: adult tickets for $6 and child tickets for $4.
Last night, the theater sold a total of 364 tickets for a total of $1930. How many adult tickets did the theater sell last night?
Answer:
237
Step-by-step explanation:
This is a system of equations.
The theater sold 364 adult and child tickets, so a + c = 364
They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.
Let's line them up
a + c = 364
6a + 4c = 1930
Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:
-4a - 4c = -1456
6a + 4c = 1930 Add them together
----------------------
2a = 474 Divide by 2 to solve for a
a = 237
There were 237 adult tickets sold
Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
Find the value of x in the triangle shown below.
Solution: all triangles add up to 180 degrees, if you take 98 + 45 that will equal 143 degrees, you can now take 180 degrees - 143 degrees to get your answer for x
Answer: X = 37 degrees
HELP!!! An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is ___
square inches.
Answer:
130 in^2 net area
136 in^2 gross area (counting the 6 in^2 scrap loss for the side cutouts)
Step-by-step explanation:
top=1.5x4=6
middle=1.5x4=6
bottom=3x4=12
sides=(2x3x8)-(2x1.5x2)=42
front & back=2x8x4=64
6+6+12+42+64=130
The amount of cardboard required to make one box is 130 inch².
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
From the figure we have
top = 1.5 x 4 = 6
and, middle = 1.5 x 4 =6
and, bottom = 3 x 4 = 12
So, the side is
= (2 x 3 x 8) - (2 x 1.5 x 2)
=42
and, For front and back
= 2 x 8 x 4
=64
Thus, the amount cardboard required
= 6+6+12+42+64
= 130 in²
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Estimate the product of
5
and 4
Then find the product.
1: Look at the 4, its a lot easier to multiply 5 x 5 rather than 5 x 4, plus if you are estimating, you are going to round either up or down.
2: Multiply 5 x 5 // the answer is 25.
3: Multiply 5 x 4 (the original) // which is 20.
9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33
Based on the information, there are 25 cars with good brakes and good tires.
How to calculate the valueTotal cars = 50
Cars with faulty brakes = 10
Cars with faulty tires = 15
Cars with faulty brakes and good tires = 2
Let's calculate the number of cars with good brakes and good tires:
Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires
= 10 + 15 - 2
= 25
Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires
= 50 - 25
= 25
Therefore, there are 25 cars with good brakes and good tires.
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what is the value of x
Answer:
hhiuhdhdbbduwhebbdbnosjwbbsundnks
Step-by-step explanation:
Answer:x=9
Step-by-step explanation:
3x-20 is proportional to 56 by 1/8, exactly as the left side is. (I don’t remember the name of the theorem but you can look it up online.) Because of this you can determine that 3x-20 is 7, so 3x=27 and x=9.