The probability of throwing a drop of paint into one of the triangles is 3.96% if a large white canvas, 9' x 21', has two triangles painted on it, one with a base of a 1' and a height of 3', and the other with a right triangle with a hypotenuse of 5' and a side of 3'
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Total area of the canvas = 9' x 21' = 189 square units
This area is representing the total outcome = 189
Total favorable outcome = area of first triangle + area of the second
triangle
Area of the first triangle = (1/2)(1x3) = 3/2 square units
From the Pythagoras theorem:
Height = √(5² - 3²) = 4'
Area of the second triangle = (1/2)(3x4) = 6 square units
Total favourable outcome = 3/2 + 6 = 15/2
Now the probability:
[tex]= \frac{\frac{15}{2} }{189}[/tex]
= 15/378
= 0.0396×100
= 3.96%
Thus, the probability of throwing a drop of paint into one of the triangles is 3.96% if a large white canvas, 9' x 21', has two triangles painted on it, one with a base of a 1' and a height of 3', and the other with a right triangle with a hypotenuse of 5' and a side of 3'
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What is the volume of this sphere?
Question 13 options:
36πcm3
12πcm3
864πcm3
288πcm3
288π cm³
================
volume of sphere: 4/3 * π * radius³
⇒ 4/3 * π * (6)³
⇒ 4/3 * 216 * π
⇒ 288π
The more people living in an area, the more likely it is that public buses will be used. city a has a population of 51,242 and covers an area of 89.22 mi2. city b has a population of 50,178 and covers an area of 8.12 mi2. which statement about use of public buses in the cities is most likely true? the residents of city a are more likely to use public buses because their city has a greater population density. the residents of city b are more likely to use public buses because their city has a greater population density. the residents of both cities are equally likely to use public buses because both population densities are about the same. the residents of both cities are unlikely to use public buses because both population densities are too high.
The population density of city-B is greater, so, the public bus must be used for city-B.
What is the population density?Population density (in agriculture: standing stock and standing crop) is a measurement of population per unit area.
The total population of city A= 51,242
The total area of city A =89.22 mi^2
The population density of city A is given by;
[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\ Population \ density=\dfrac{51,242}{89.22}\\\\ Population\ density=574.3331[/tex]
The total population of city B = 50178
The total area of city B =8.12 mi^2
The population density of city B is given by;
[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\Population \ density=\dfrac{50178}{8.12}\\\\Population \ density=6179.55665[/tex]
Hence, the population density of city-B is greater, so, the public bus must be used for city-B.
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Answer:
b is the answer
Step-by-step explanation:
A grain of sand has a diameter that is 2 mm long. Under a magnifying glass, it looks 20 mm long. What magnification was used?
Answer:
Times 10 magnify
Step-by-step explanation:
26% of 42 is what number
Answer:
10.92
Step-by-step explanation:
26% is equivalent to 0.26 (% is in terms of 100, so if you divide the percent by 100, you gte the decimal form)
You just multiply the decimal form by the number and your result is the answer
0.26x42=10.92
Hunter earned a grade of 66% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Hunter get wrong?
There are 68 problems on the final exam did Hunter get wrong.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Hunter earned a grade of 66% on his multiple choice math final that had a total of 200 problems.
Now,
Since, Hunter earned a grade of 66% on his multiple choice math final that had a total of 200 problems.
Hence, The correct problem = 66% of 200
= 66/100 x 200
= 66 x 2
= 132
Thus, The incorrect question = 200 - 132
= 68
Therefore, There are 68 problems on the final exam did Hunter get wrong.
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Help!! The angle measurements in the diagram are represented by the following expressions.
∠
A
=
5
x
+
3
4
∘
∠A=5x+34
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 5, x, plus, 34, degrees, end color #11accd
∠
B
=
2
x
+
7
6
∘
∠B=2x+76
∘
Answer:
[tex]\boxed{\bf \angle A=84^o}[/tex]
Step-by-step explanation:
From the given diagram, we can see that ∠B & ∠C are corresponding angles, which means that they are equal. The two angles that form a straight line are supplementary angles (the sum of two supplementary angles is 180°).
[tex]\bf 5x+34^o+\angle C=180^o[/tex]
[tex]\bf 5x+34^o+\angle B=180^o[/tex]
[tex]\bf 5x+34^o+2x+76^o=180^o[/tex]
Now, let's solve for x :-
[tex]\bf (5x+34^o)+(2x+76^o)=180^o[/tex]
[tex]\bf (5x+2x)+(34+76)=180^o[/tex]
[tex]\bf 7x+110=180^o[/tex]
[tex]\bf (7x+110)-110^o=180-110^o[/tex]
[tex]\bf 7x=70^o[/tex]
[tex]\bf \cfrac{7x}{7} =\cfrac{70}{7}[/tex]
[tex]\boxed{\bf x=10^o}[/tex]
Now, in order to find ∠A will substitute the value of x into the expression:-[tex]\bf \angle A=5x+34^o[/tex]
[tex]\bf \angle A=5(10)+34^o[/tex]
[tex]\bf \angle A=84^o[/tex]
______________________
The book fair is selling erasers for $0.17 each. If Brandon spent a total of $2.21 on erasers, how many erasers did he purchase?
Answer
The answer is 13
Step-by-step explanation:
I divided 2.21 by 0.17
Answer:
13 Erasers
Step-by-step explanation:
2.21 ⁒ 0.17 = 13
Hope this helps :)
Find the MAD for this data set
Answer:
O.8 is the answer
Step-by-step explanation:
What is the value of x in the equation −6 + x = −3? (5 points) Group of answer choices −9 −3 9 3
Answer:
The value of x is 3
Step-by-step explanation:
=> −6 + x = −3
=> x = -3+6
=> x = 3
Elias tossed a ball into the air. The following table represents the ball's height with respect to time, where y represents the ball's height, in feet, and x represents number of seconds after the ball was tossed.
The table is an illustration of a quadratic function, and the range of Ella's table is 0 ≤ y ≤ 9
How to determine the range?From the complete question, we have the following highlights:
The minimum output value is 0, and the maximum output value is 9
This means that the range of the table is 0 to 9
Express properly as:
0 ≤ y ≤ 9
Hence, the range of Ella's table is 0 ≤ y ≤ 9
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D
Question 6
11 pts
Use the previously created equation to solve for the verbal description (give your
answer to the nearest cent and include commas and decimal points). For example,
12,345,67
The value of a car purchased for $20,000 decreases at a rate of 12% per year. What
will be the value of the car after 3 years?
Question 7
79°F
Practice A
In Exercises 1-3, find the value of x. Write your answer in simplest form.
Answer:
Where is the question??
Determine if \sqrt{41}
41
is rational or irrational and give a reason for your answer.
Assume √41 is rational, so that there exist integers p, q such that
[tex]\sqrt{41} = \dfrac pq[/tex]
and p/q is irreducible. Taking squares, this would mean
[tex]41 = \dfrac{p^2}{q^2} \implies p^2 = 41q^2[/tex]
This tells us that 41 is a factor of p², which in turn means 41 is a factor of p because 41 is prime. We can consequently write p = 41n for some integer n. But then
[tex]p^2 = (41n)^2=41q^2 \implies 41n^2 = q^2[/tex]
which says 41 also divides q² and hence divides q as well. In other words, p/q is reducible, so we have a contradiction.
Select all the expressions that equal 4×106.
(2×108)(2×10-2)
40×105
40 6
400,000
1. 2×1093×102
Answer:
None of the expressions are equal to 4*106
Step-by-step explanation:
(2×108)(2×10-2) does not equal 4*106
40×105 does not equal 4*106
40 6 does not equal 4*106
400,000 does not equal 4*106
2×1093×102 does not equal 4*106
what is porpotinal to 1/5
Answer:
To find fractions, multiply 5 by the numerator to find the denominator.
Step-by-step explanation:
Fractions:
1/5, 2/10, 3/15, etc.
Decimal:
0.2
Percentage:
20%
What is the value of 0.23? Enter your answer in the box.
Maria, age 28, wants to pay no more than $300 a year in life insurance. what is the face value of the largest 20-year term policy she can buy without spending more than $300 annually? annual life insurance premium (per 1,000 dollars of face value) for age 28. a 10-year term for female is 1.28, 15 year term for female is 1.54, 20 year term for female is 1.89, and whole life for female is 9.46. a. $234,000 b. $158,000 c. $11,000 d. $567,000
The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
What is face value?Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.
Maria, age 28, wants to pay no more than $300 a year in life insurance.
The period for this policy is 20-year term.
Annual life insurance premium (per 1,000 dollars of face value) for age 28.
A 10-year term for female is 1.28, A 15 year term for female is 1.54, A 20 year term for female is 1.89, A whole life for female is 9.46.For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,
[tex]\rm Face \; Value=\dfrac{300}{1.89}\times1000\\\rm Face \; Value\approx158000[/tex]
Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
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Answer: B
on edge
Step-by-step explanation:
How many Cube Bs will fit into Cube A? Enter the max amount.
Answer:
8
Step-by-step explanation:
The answer is 8 because 1/2 times 1/2 times 1/2 is 1/8, which means that 8 B cubes can fit into cube A.
The length of the base of a triangle is four more than twice the height. the area of the triangle is 80 m^2. find the lengths of the base and the height of the triangle.
can someone help me out with this? none of my friends understand this question either.
Sixteen and eight hundred fifty-two thousandths written in standard form
Answer:
16.852
Step-by-step explanation:
Writing the worded terms
Sixteen = 16Eight hundred fifty two thousandths = 852 x 10⁻³ = 0.852Standard form
16 + 0.85216.852Translate this into an algebraic equation.
Milo is 400,000$ in debt. He gets a job that pays 1,906.67 a month. How much money will Milo have in 12 months?
Answer:
$22,880.04 Without paying off the debt
$18,880.04 After paying off the debt
Step-by-step explanation:
A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have?
The quadratic equation will have no real solutions.
Given quadratic equation is: [tex]ax^{2} +bx+c=0[/tex]
What is the discriminant of a quadratic equation?The discriminant(D) of a quadratic equation is [tex]D=b^{2}-4ac[/tex]. It depicts the nature of the roots.
[tex]D > 0[/tex] the roots are real and distinct.
[tex]D=0[/tex] the roots are real and equal.
[tex]D < 0[/tex] the roots will be imaginary.
We have [tex]D=-16[/tex] which is negative.
So, the roots will be imaginary.
So, the given quadratic equation will have no real solutions.
Hence, the given quadratic equation has no real solutions.
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Grayson asked 50 people how many times they exercise per week. The curcle graph shows the responses and the percentages of people who gave each response hos many of the people surveyed exercise once a week or less
There were 8 people who surveyed exercise once a week or less out of the 50 people who were surveyed.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the circle graph, percentage of the people surveyed exercise once a week or less = 100% - (10% + 40% + 20% + 14%) = 16%
Number of the people surveyed exercise once a week or less = 15% of 50 = 0.16 * 50 = 8
There were 8 people who surveyed exercise once a week or less
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Of the hats in Tammy's Hat Shop, 3/8 are green and another 1/4 are blue. What fraction of the hats are either green or blue?
Answer:
5/8
Step-by-step explanation:
Since it’s either, that is essentially saying ‘or’Because of this we add the fractions togetherThis gives [tex]\frac{3}{8} +\frac{1}{4}[/tex]Find a common denominator1/4 = 2/83/8 + 2/8 = 5/8Can you check the answers pls ?
Thank you
Answer:
yeah it's perfect u did a grade job
what are rational. numbers?
Rational numbers are defined as "a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q." This quote can be broken down to make it easier to understand. In basic terms, a rational number is a real number that is an integer, fraction, terminating decimal, or repeating decimal.
Integer
An integer is any positive or negative whole number including 0. Examples of integers include 4, -9, and 0.
Fraction
All fractions that do not have a 0 denominator (which makes the number undefined) are rational numbers. Additionally, complex fractions are not always considered rational numbers. Complex fractions are fractions where either the numerator or denominator is a decimal or fraction itself. Examples of rational fractions include [tex]\frac{4}5}[/tex], [tex]\frac{7}{4}[/tex], and [tex]\frac{2}{2}[/tex].
Terminating Decimals
Terminating decimals are decimals that have a finite number of digits. This means that the decimal stops at some point. Examples of terminating decimals include 0.346, 0.47834, and 0.345832454525456
Repeating Decimals
Repeating decimals are any decimal that is not terminating but has some pattern that repeats for infinity. Examples of repeating decimals include [tex]0.\bar 9[/tex], [tex]0.\bar8\bar6[/tex], and [tex]0.\bar 5\bar7\bar8\bar4[/tex]. In this case, the bar notation represents numbers that repeat forever.
Help please! Put a step-by-step explanation.
No links.
Answer:
70 degrees
Step-by-step explanation:
Angles directly opposite are equal
The coordinates of the vertices of a polygon are (1, 2), (1, -1), (-6, -1) and (-6,2). What is the perimeter of the polygon
Check the picture below.
14. Solve the equation using the Zero Product Property
(2x-4) (2x-1)=0
A. 2, -1/2
B. 2,1/2
C.-2, 2
D. -2,1/2
16. A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden.
A. 15m
B. 3m
C. 12m
D. √12m
Answer:
14) D; 16) C.
Step-by-step explanation:
14) the given equation can be written (x-2)(x-1/2)=0;
D. -2; 1/2.
16. if the original length is 'x', then it is possible to make up the equation of area:
(x+3)²=225; ⇒ x=12;-18; x=12 [m], the C option.
It takes you 1/4 hours to walk 1/3 of a mile.
How long will it take you to walk 2 1/2? Miles?
PLS HELP ASAP
Answer:
15/8 Hours
Step-by-step explanation:
To start, I would find see how long it takes to walk a mile.
1/3 · 3 = 1
1/4 · 3 = 3/4
So we now know that walking one mile takes 45 minutes. Next, I multiplied 1 mile by 2.5 and repeated the same process with the time.
3/4 · 5/2 = 15/8
Therefore, it takes 15/8 hours to walk 2.5 miles.