The figure below shows a shaded circular region inside a larger circle:
A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.
What is the probability that a point chosen inside the larger circle is not in the shaded region?
24%
36%
50%
64%
Points earned on this question: 0
Answers
1. To find the area of the unshaded region, you will subtract the area of the larger circle and the area of the smaller circle.
A = pi x r^2 -
3.14 x 5^2 - 3.14 x 4^2
78.5 - 50.24
Area of the unshaded is 28.26 square inches.
Area of unshaded 28.26
Area of large circle = 78.5
Divide these to find the probability.
0.36 is 36% probability.
The probability if 36%.
Answer:
36%
Step-by-step explanation:
Related Questions
The sum of two numbers is 0.25. their quotient is 0.25. find the numbers.
Answers
[tex]n,\ m-the\ numbers\\\\n+m=0.25\qquad(*)\\\\n:m=0.25\to\dfrac{n}{m}=0.25\to n=0.25m\qquad(**)\\\\\text{Substitute}\ (**)\ \text{to}\ (*):\\\\0.25m+m=0.25\\\\1.25m=0.25\qquad\text{divide both sides by 1.25}\\\\\boxed{m=0.2}\\\\\text{Put the value of }\ m\ \text{to}\ (**):\\\\n=0.25(0.2)\\\\\boxed{n=0.05}\\\\Answer:\ \boxed{0.05\ and\ 0.2}[/tex]
how do i answer this question
[tex]7 - 3x = 2x + 7 - 5x[/tex]
Answers
7 - 3x = - 3x + 7
You can rearrange the right side to be:
7 - 3x = 7 - 3x
Because are the same thing, your answer ends up being all real numbers or infinitely many solutions. This means whatever number you plug in for the x-variable, the two sides will always be equal to each other.
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions of the rectangle.
Answers
Answer:
length = 9 kilometres
Width = 12 kilometres
Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.
Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.
The area of a rectangle can be found by using the formula:
A = width × length
Plug in the data from the formula
A = x (2x - 6).
Simplify using rainbow technique.
[tex]x(2x - 6) = 2 {x}^{2} - 6x[/tex]
Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.
[tex]2 {x}^{2} - 6x = 108[/tex]
Subtract 108
[tex]2 {x}^{2} - 6x - 108 = 0[/tex]
Divide by 2.
[tex] {x}^{2} - 3x - 54[/tex]
[tex](x - 9)(x + 6) = 0[/tex]
Rule AB = 0, gives A is 0 or B is 0.
[tex]x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6[/tex]
The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).
Length
[tex]x = 9[/tex]
Width
[tex]2x - 6 = 2 \times 9- 6 = 18 - 6 = 12[/tex]
Answer:
length = 9 kilometres
Width = 12 kilometres
~ Hope this helps you!
Make t the subject of the formula
Answers
[tex]t= \frac{4p+3}{p-2} [/tex]
Hopefully i helped, i suppose ill go answer the other one too hehe well mark brainly if possible ^.^
How many turning points are in the graph of the polynomial function?
2 turning points
3 turning points
4 turning points
5 turning points
Answers
We then have to look for the slope changes in the given function,
We have inflection points in:
4 points of the given graph.
Answer:
4 turning points
Explanation:
The turning points are those points where the graph changes direction, i.e. where the function changes from growing to decreasing or from decreasing to growing.
That is the typical behavior of polinomial and it is related with the degree of the polynomial.
In this case, since you have the graph you can directly telling the turning points. Those are near x = - 2, x = -1, x = 1 and x = 2, i.e. four turning points.
Those turning points correspond to local maxima (if the function changes from growing to decreasing) or local minima (if the function changes from decreasing to growing).
15 POINTS
What is the equation of the following graph in vertex form?
(parabolic function going down from the left through the point negative four comma zero and turning at the point negative three comma negative one and going up through the point negative two comma zero and then through the point zero comma eight and continuing up towards infinity)
y = (x − 3)2 − 1
y = (x + 3)2 − 1
y = (x − 4)2 − 2
y = (x − 4)2 + 8
Answers
And y coordinate of vertex is -1 so the answer is B.
Answer with explanation:
→The given curve is Quadratic,having two real roots,as it cuts X axis at two distinct points that is at ,-2 and -4.
→Graph is symmetrical about line , x=-3.
→This curve is a Parabola,opening in upward direction ,that is having Y axis as Axis of Symmetry.
→Parabola is defined as locus of all the points such that distance from fixed point called focus, to distance from fixed line called Directrix ,is always Constant.
→Point which divides PARABOLA in two symmetrical parts is called Vertex having coordinates (-3,-1).
Equation of parabola having vertex ,(-3,-1) and opening in Upward Direction,that is in vertical direction, is given by:
General Equation: Equation of parabola passing through point (a,b) and opening in upward direction and having focus (k,h) is
y-b=4 k× (x-a)²
So, the equation of parabola will be
→y-(-1)=4 k[x-(-3)]²
→y+1==4 k(x+3)²-----(1)
This parabola also passes through (-4,0) and (-2,0).
→0+1=4 k×(-4+3)²
→1=4 k×(-1)²
[tex]1=4 k\\\\k=\frac{1}{4}[/tex]
If you will substitute , x=-2 and y=0 in equation 1,you will get same value of k.
Equation of Parabola ,that is equation 1,can be written as
[tex]y+1=4\times\frac{1}{4}(x+3)^2\\\\y+1=(x+3)^2\\\\ y=(x+3)^2-1[/tex]
Option B: y=(x+3)²-1
A climber is standing at the top of Mount Kazbek, approximately 3.1 miles above sea level. The radius of the Earth is 3959 miles. What is the climber's distance to the horizon?
Answers
The radius of the earth = OC = OB = 3959 miles
Peak of the Mount Kazbek = A = 3.1 miles
OA = OC + CA
OA = 3959 + 3.1 = 3962.1 miles
As OBA is a right triangle,
[tex] OA^{2} [/tex] = [tex] OB^{2} [/tex] + [tex] AB^{2} [/tex]
[tex] 3962.1^{2} [/tex] = [tex] 3959^{2} [/tex] + [tex] AB^{2} [/tex]
15698236.41 = 15673681 + [tex] AB^{2} [/tex]
[tex] AB^{2} [/tex] = 15698236.41 - 15673681
[tex] AB^{2} [/tex] =24555.41
AB = 156.701659
climber's distance to the horizon is 156.7 miles
What are the solutions of the inequality? 12x – 3x + 11 > 4x – (17 – 9x) a. x > –7 b.x > −1411 c. x < −1411 d.x < 7
Answers
Explanation:
1) given: 12x – 3x + 11 > 4x – (17 – 9x)
2) expand the parenthesis: 12x - 3x + 11 > 4x - 17 + 9x
3) combine like terms on each side: 9x + 11 > 13x - 17
4) subtract 9x and add 17 to both sides:9x - 9x + 11 + 17 > 13x - 9x - 17 + 17
5) combine like terms: 28 > 4x
6) divide both sides by 4: 7 > x
That is x < 7 which is the option d.
Roll a 5 win 6 dollars roll a 6 win 12 dollars if you play one time what is your expected reward
Answers
Jamal baked muffins for the school bake sale. He made 12 corn muffins and 15 blueberry muffins. What is the ratio of blueberry muffins to all muffins?
Answers
hope it helps! <3
Answer:
5:9
Step-by-step explanation:
If you flip 3 coins, what is the probability of landing on heads only 2 times? list your answer as a fraction in simplest form.
Answers
No. of outcomes with only 2 heads = 3
S0 the Probability of just 2 heads = 3/8
At the start of an experiment , there are 30 bacteria dish. The bacteria population is expected to grow at a rate of 180% each day. Which is the best prediction for the bacteria population after 7 years?
A.51,750
B.40,479
C.2682
D.1837
Answers
ending amount = beginning amount * (1.8)^days
7 years = 2,555 days
ending amount = 30 * 1.8^7
ending amount = 30 * 61.2220032
ending amount = 1836.660096 or 1,837 (rounded)
answer is D.
The daily intakes of milk (in ounces) for ten randomly selected people were: 26.0 13.0 13.5 14.8 19.1 13.6 21.6 30.8 15.8 14.1 find a 99% confidence interval for the population standard deviation σ.
Answers
To establish a 99% confidence interval for the population standard deviation, we first need to calculate the sample standard deviation of the data. We then use the Chi-Square distribution with the appropriate degrees of freedom to get the interval. The formula [√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)] can be applied.
Explanation:This question refers to constructing a 99% confidence interval for the population standard deviation using the information from a sample. The mentioned sample comprises measures of daily intakes of milk in ounces for ten randomly selected people. To address this, first, we need to calculate the sample standard deviation. After that, we use Chi-Square distribution (χ² distribution) to create the confidence interval for the standard deviation since population standard deviation (σ) is unknown.
Let's denote:
n as number of observations: n=10s as sample standard deviationχ²(α/2,n-1) as the χ² value for α/2 (± z-score for standard normal distribution) with n-1 degrees of freedom99% confidence interval for the population standard deviation σ can be found using the formula:
[√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)]
Here, χ²0.995,n-1 and χ²0.005,n-1 represent the values from χ² distribution table corresponding to 0.005 and 0.995 (For 99% confidence interval, α=1-0.99=0.01. α/2=0.01/2=0.005) with n-1 degrees of freedom.
Please note that all numbers should be rounded according to the context, and the final values are but estimates that should not be treated as 100% accurate.
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What is the probability of drawing five face cards?
Answers
Total number of face cards = 12
P( 5 face cards) = (12/52)(11/51)(10/50)(9/49)(8/48) = 33/108290
Answer: 33/108290
F(x)=5x^3-2x^2-3x Polynomial factoring
Answers
N a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. what is the mean?
Answers
A family took a trip. They spent $90.71 for gasoline, $153.00 on meals, $197.00 on amusements, and $73.38 on miscellaneous expenses. How much did the trip cost?
Answers
Theoretically, the actual TRIP cost $90.71, because the extra money spent was on other things other than the transportation, which is the main part of the trip.
but in total, DURING that trip, they spent $514.09
I hope this helps, and have a nice day!
I have a question about the application of definite integrals. I came up with the following integral:
[tex] \int\limits^5_0 {62.5 * 6 * 2 * x} \, dx [/tex]
This is equal to 9780. Unfortunately, 9780 ft-lb is not an answer, but 9375.0 ft-lb is! Can someone tell me what is wrong with my integral and if 9375.0 ft-lb is the answer to my question?
Answers
The volume of each slice is 6*2*DeltaX cubic feet. So the force pulling down on each slice is 62.5*6*2*DeltaX pounds as this is the weight of the slice.
The work done to move that slice x feet upward is 62.5*6*2*DeltaX*x or 62.5*6*2x*DeltaX as you wrote for your integrand.
Integrating with respect to x will effectively add up all the horizontal slices to get the total work done
See the attached image for the integral and steps leading to the answer of 9375
If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of the unknown leg? Explain.
Answers
By using Pythagoras theorem, length of one leg of triangle can be determined.
Given:
A triangle with length of one leg and the hypotenuse
According to question,
Let the length of one leg of triangle which can be base [tex](b)[/tex] or perpendicular [tex](p)[/tex] and hypotenuse represented by [tex](h)[/tex].
Now, using Pythagoras theorem which states that if a triangle is right-angled ([tex]90[/tex] degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
From the figure,
In [tex]\Delta AOB, \;\angle O=90^\circ[/tex]
[tex]\rm{H^2=P^2+B^2}\\\rm{AB^2=AO^2+OB^2[/tex]
[tex]h^2=p^2+b^2[/tex]
[tex]b=\sqrt{h^2-p^2}\\[/tex]
or
[tex]p=\sqrt{h^2-b^2}\\[/tex]
Therefore, length of one leg of the triangle is determined by using Pythagoras theorem.
Learn more about Pythagoras theorem here:
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A computer salesperson's monthly income depends on the amount of his sales. his monthly income is a salary of $1575 plus 9% of his monthly sales. write a linear equation for his monthly income for sales of x dollars. ( i=mx+b ).
Answers
Commission = 9% = 0.09
Monthly Sales = x
Monthly income = 1575 + 0.9x
Answer: Monthly income = 1575 + 0.9x
The solution is, 1575 + 0.9x, is a linear equation for his monthly income for sales of x dollars.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
Here, we have,
given that,
A computer salesperson's monthly income depends on the amount of his sales.
his monthly income is a salary of $1575 plus 9% of his monthly sales.
Fixed salary = $1575
Commission = 9% = 0.09
Monthly Sales = x
Monthly income = 1575 + 0.9x
Answer: Monthly income = 1575 + 0.9x
Hence, The solution is, 1575 + 0.9x, is a linear equation for his monthly income for sales of x dollars.
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If area of a circle measures 16/25 pi cm square, what is the circumference of the circle in terms of pi
Answers
(16/25)*pi = pi*r^2
16/25 = r^2
rt(16/25) = r
r = 4/5
C = 2pi*r
C = 2pi*(4/5)
C = (8/5) pi cm
A lion’s heart beats 12 times in 16 seconds.how many heartbeats will it have in 60 seconds?
Answers
Here is your answer:
The proper answer to this question is "44 times".
Reason:
You have to solve it this way:
12 heartbeats=16 seconds
16+16=32
36+16=48
48+16=64
16-12=4
12+12=36+8=44
Therefore lions heart beats 44 times every 60 seconds.
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Based on the information marked in the diagram, ABC and XYZ must be congruent.
Can somebody help ??
A. True
B. False
Answers
There isn't enough info. We have a pair of hypotenuses that are congruent (AB and XY) based on the single tickmarks they share together. Other than that, we don't know anything about any other pairs of sides. We know that angle C = angle Z because of the square angle markers (they're both 90 degrees), but we don't know anything else about the other angles. The triangles could be congruent, or they may not be. There's no way to tell without more information.
Answer: The answer i false
Step-by-step explanation:
Which equation can be used to find the volume of this solid?(Please see attached picture)
V=3*5*4
V-3+5+4
V=5*4
V=3*5
Answers
Hope that helps
how do you subtract 42 minutes from 1 hour ,25 minutes.explain what to do and why you do it?
Answers
60+25= 85 minutes
Now we should subtract the 42
85-42=43
The circle graph shows the portions of the time that Ralph spent playing different games.
Which two types of games did Ralph spend a total of 9/10 of his time playing?
Choose exactly two answers that are correct. exactly two plz!!
A.
Truck Rider
B.
Space Cadet
C.
Trivia Tasks
D.
Wizard Maze
Answers
Marie is buying an ice-cream sundae. There are 3 sizes of sundaes, 15 different ice-cream flavors, and 5 different toppings. How many ways can Marie choose a sundae?
Answers
[tex]3 \times 15 \times 5 = 225[/tex]
Multiplying them out, you can see that there are 225 different combinations of sundaes
A principal of $3900 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years? Use the calculator provided and round your answer to the nearest dollar.
Answers
[tex]3900 \times 0.065 \times 5 = 1267.5 \\ 1267.5 + 3900 = 5167.5[/tex]
Answer:
The answer would to be able to multiply the answers together. For example, the answer for this question would be 5,343 dollars rounded to the nearest tenth.
Step-by-step explanation:
Which linear equation has a slope of 3 and a y-intercept of –2?
Answers
Y=3x-2, or B.
Answer:
I believe the answer is A.
Step-by-step explanation:
How many dimes in 1898.59
Answers
there are 189 whole dimes
Since there are 10 dimes per dollar, you'd multiply $1,898 by 10, to get your final answer (18,985 dimes).
I hope this helps!