The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.
What is the probability that a point chosen at random will be in the shaded region? Round the answer to two decimal places.
0.25
0.33
0.66
0.75
Answers
The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle
So,
Probability = 78.5/314 = 0.25
Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region.
Answer:
A. 0.25
Step-by-step explanation:
Related Questions
You owe $976.34 on a credit card that has an interest rate of 10.75% APR. You pay $100.00 at the end of each month.
You place the $100.00 in a savings account that earns a 2.75% APR. What is the difference in interest between savings earned and credit card interest paid
answer: $8.52
Answers
976.34*104=871.38
2. 100.00*0275=2.75
Myron bought a dozen eggs for $1.75 per dozen. If he bought 8 dozen eggs, how much did they cost?]
Answers
So, if 1 (dozen) of eggs equal ($1.75), we would want to multiply this by (8).
[tex] \left[\begin{array}{ccc}\boxed{\boxed{1.75*8}}\end{array}\right] \ =\left[\begin{array}{ccc}\boxed{14}\end{array}\right][/tex]
This would cost then ($14).
Hope this helps you!
A store is having a sale where all jeans are 1/4 off the regular price.Find the constant of proportionality, then write an equation relating to the sale price to the regular price.
Answers
Does the following equation represent growth or decay? Y=10,000(0.97)x
Answers
Given is Y = 10000·(0.97)ˣ
This is an exponential equation whose general form is y = a·bˣ
where 'a' is the initial value and 'b' is the growth or decay factor.
If value of b is greater than 1, then it is growth of population.
If value of b is lesser than 1 but greater than 0, then it is decay of population.
On comparison of the given equation with its general form, we get a = 10000, b = 0.97
So initial value is 10000.
Since value of b is 0.97 i.e. lesser than 1, so it is decay of population.
Hence, the given equation represents "Decay".
given the equation W=CE2/2, solve for C
Answers
CE^2 = 2W
C = 2W/E^2 Answer
Answer:
[tex]C=\frac{2W}{E^2}[/tex]
Step-by-step explanation:
[tex]W=\frac{CE^2}{2}[/tex]
Solve for C
To solve for C, we need to get C alone
LEts start with eliminating 2 from the denominator
Multiply the equation by 2 on both sides
[tex]2W= CE^2[/tex]
To isolate C, divide both sides by E^2
[tex]\frac{2W}{E^2} =C[/tex]
[tex]C=\frac{2W}{E^2}[/tex]
What is the geometric mean of 6 and 13?
What is the Geometric mean a 5 and 45?
Answers
√(6·13) = √78
What is the Geometric mean a 5 and 45?
√(5·45) = √225 = 15
Answer: [tex]\sqrt{78}[/tex] and [tex]15[/tex]
Step-by-step explanation:
Given: (1) two numbers [tex]6[/tex] and [tex]13[/tex].
(2) two numbers [tex]5[/tex] and [tex]45[/tex].
To Find: Geometric number of numbers in [tex](1)[/tex] and [tex](2)[/tex]
Solution:
Let first number be [tex]=\text{a}[/tex]
Let second number be [tex]=\text{b}[/tex]
Geometric mean of two numbers [tex]\text{a}[/tex] and [tex]\text{b}[/tex] is
[tex]\sqrt{\text{a}\text{b}}[/tex]
Now,
[tex](1)[/tex] First number is [tex]=6[/tex]
Second number is [tex]=13[/tex]
Geometric mean of both numbers is
[tex]\sqrt{6\times13}[/tex]
[tex]\sqrt{78}[/tex]
Geometric mean is [tex]\sqrt{78}[/tex]
[tex](2)[/tex] First number is [tex]=5[/tex]
Second number is [tex]=45[/tex]
Geometric mean of both numbers is
[tex]\sqrt{5\times45}[/tex]
[tex]\sqrt{225}[/tex]
[tex]15[/tex]
Geometric mean is [tex]15[/tex]
Find the markup and the selling price of the following item. Round answers to the nearest cent. A chemistry set costing $38.50, marked up 32% on cost. Markup = ? Selling price = ?
Answers
[tex]38.50\times0. 32=12,32[/tex]
The markup is then $12,32.
The selling price is the sum of the cost and the markup:
[tex]38.50+12,32=50,82[/tex]
Answer:
markup, 12.32
selling price, 50.82
Step-by-step explanation:
If the cubic function P(x) includes the points (−4, 0), (0, 0), and (2, 0), which of the following represents this function?
Answers
The function cannot be determined with the given information.
Explanation:The given points (-4, 0), (0, 0), and (2, 0) indicate that the function is a cubic function with three real roots. A cubic function is of the form P(x) = ax^3 + bx^2 + cx + d. Since the function passes through the x-axis at (-4, 0), (0, 0), and (2, 0), the roots of the cubic function are -4, 0, and 2. Therefore, the function can be written as P(x) = a(x + 4)(x - 0)(x - 2). However, since a cubic function with three real roots has an odd degree, the coefficient 'a' must be negative or positive. This means that the function can also be written as P(x) = -a(x + 4)(x - 0)(x - 2) or P(x) = a(x + 4)(x - 0)(x - 2). So, the correct representation of the function cannot be determined with the given information.
PLEASE HELP BABES!!
How likely is it that you would pick the number 67 if you closed your eyes?
A) certain
B) impossible
C) probable
D) unlikely
Answers
What are the values of a and b?
Answers
https://brainly.com/question/8861591
Short Side : Long Side is the same for all triangles
.. a/20 = 20/21
.. a = 400/21
Hypotenuse : Long Side is the same for all triangles
.. b/20 = 29/21
.. b = 580/21
The 1st selection is appropriate.
“Find the equation of the line passing through (8,-2) & (7,-4). Write your equation in point-slope AND slope intercept forms.
Point slope form using (8,-2) _____
Point slope form using (7,-4) _____
Slope intercept form: y=2x-18
Answers
the equation of the line in point-slope------------> (y – y1) = m(x – x1)
the equation of the line in slope intercept forms. -----> y =mx+b
find the slope m
point (8,-2) & (7,-4).
m=(y2-y1)/(x2-x1)---------> (-4+2)/(7-8)=-2/-1----------> m=2
Part A)
find the equation of the line in point-slope using (8,-2)
(y – y1) = m(x – x1)---------> (y-(-2)) = 2*(x – 8)-------> y+2=2x-16
y=2x-16-2--------> y=2x-18
Part B)
find the equation of the line in point-slope using (7,-4)
(y – y1) = m(x – x1)---------> (y-(-4)) = 2*(x – 7)-------> y+4=2x-14
y=2x-14-4--------> y=2x-18
Part C)
find the equation of the line in slope intercept forms
using (7,-4)
y=mx+b--------> -4=2*7+b----------> -4=14+b-----------> b=-18
then
y=2x-18
Part D)
find the equation of the line in slope intercept forms
using (8,-2)
y=mx+b--------> -2=2*8+b----------> -2=16+b-----------> b=-18
then
y=2x-18
Gas costs $1.64 a gallon. Elaine spent $23.78 at the gas station.How many gallons of gas did she but?
Answers
she paid $23.78
23.78÷1.64
She paid for 14.5 gallons
To check:
1.64 * 14.5
23.78
Hope this helps
Answer:
23.78
Step-by-step explanation:
Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.
Answers
.. 2(x +2) +3(y -1) = 0
This equation can now be put into any desired form. Based on the given equation, it looks like you would like "standard form."
.. 2x +3y = -1
To find the equation of a line that is perpendicular to the line 3x - 2y = 5 and passes through the point (-2, 1), we determine that the slope of the perpendicular line must be -2/3. Using the point-slope form, the equation of the desired line is y = (-2/3)x - (1/3).
Finding the Equation of a Perpendicular Line
To write the equation of a line that is perpendicular to another line, you first need to determine the slope of the original line. The given equation, 3x - 2y = 5, can be rewritten in slope-intercept form (y = mx + b) by solving for y:
3x - 2y = 5
=> -2y = -3x + 5
=> y = (3/2)x - (5/2)
The slope (m) of this line is 3/2. Perpendicular lines have slopes that are negative reciprocals of each other. Thus, the slope of the line perpendicular to the original line is -2/3.
To find the equation of the line passing through the point (-2, 1) with this slope, use the point-slope form of the equation:
y - y1 = m(x - x1)
=> y - 1 = (-2/3)(x + 2)
Simplifying, we have:
y - 1 = (-2/3)x - (4/3)
=> y = (-2/3)x - (4/3) + 1
=> y = (-2/3)x -(1/3)
This is the equation of the line that passes through (-2, 1) and is perpendicular to the line 3x - 2y = 5.
Which statement about the population shown in this graph is true? A. The number of individuals will increase endlessly. B. The number of individuals will eventually drop to zero. C. The population has increased until it reached its carrying capacity. D. There are no limiting factors to control population growth.
Answers
D will be your correct answer.
Hope this helps
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. a pollster contacts 92 people in the 18-21 age bracket and finds that 78 of them respond and 14 refuse to respond. when 284 people in the 22-29 age bracket are contacted, 265 respond and 19 refuse to respond. assume that 1 of the 376 people is randomly selected. find the probability of getting someone in the 22-29 age bracket or someone who refused to respond.
Answers
= (284+14) / 376
= 0.792
= 0.79
Final answer:
The probability of selecting a person from the 22-29 age bracket or someone who refused to respond is approximately 79.3% out of the total number of people contacted.
Explanation:
The student is asking about finding the probability of selecting either a person from the 22-29 age bracket or someone who refused to respond from a combined group of people contacted in a survey. To solve this problem, we use the addition rule of probability. The total number of people is 376. The number of people who are in the 22-29 age bracket is 284, and the number of people who refused to respond is 14+19=33. However, this would include those who refused from the 22-29 bracket twice, so we subtract the 19 from the 22-29 age group who refused, leaving us with 33-19=14. Thus, the total number in either category is the sum of these, 284+14=298.
The probability (P) of picking someone from the 22-29 age bracket or someone who refused to respond is therefore calculated as:
P = Number in either category / Total number = 298 / 376 ≈ 0.793 or 79.3%
(64-2^2)-(8+7)
answer please
Answers
64 - 2² - (8 + 7)
= 64 - 4 - 15
= 60 - 15
= 45
Let me know if you have any misunderstanding!
As always, I am here to help!
Weight Gain after gaining 25 pounds, a person is 115 pounds lighter than double his previous weight. How much did the person weigh before gaining 25 pounds? How could I write this problem
Answers
Cross 115 over the 'bridge' and add it with 25: x+140 = 2x
Cross x over the 'bridge' and subtract with 2x: 140 = x
ANSWER: x
John bought a house. He decided to reduce his square backyard by 40 inches along its width. The area of the new backyard is given by the function below, where z represents the length in inches.
A(z)=z^2-40z
Which statement best describes the term 40z?
* The area of the playground after expansion
* The width of the backyard
* The area of the backyard before reduction
* The area reduced from the backyard
Answers
The height of a rock thrown off a cliff can be modeled by h=-16t^2-8t+120, where h is the height in feet and t is time in seconds. How long does it take the rock to reach the ground?
Answers
----------------------
Here is the work in how you can find this answer...:
----------------------
The height, h, of an object thrown upward from an initial height, H, with an initial velocity, Vo, is given by the function h as a function of time, t:
h(t) = -16t^2 + Vot + H
Since Vo = 48 ft/sec and H 64 ft, then:
h(t) = -16t^2 + 48t + 64
You want to know at what time, t, will the rock hit the ground (h = 0). Set the above function = 0.
-16t^2 + 48t + 64 = 0
Solve this quadratic equation for t. First, factor -16.
-16 ( t^2 - 3t -4 ) = 0
Apply the zero products principle.
t^2 - 3t - 4 = 0
Factor.
( t - 4 )( t + 1 )
Again, apply the zero products principle.
t - 4 = 0 and/or t + 1 = 0
If t - 4 = 0, then t = 4 seconds
If t + 1 = 0, then t = -1 second...Discard this solution as negative time is not meaningful in this problem.
---
OVERALL = THE ROCK HITS THE GROUND AFTER 4 SECONDS
---
How to do this because I do not understand how to do it
Answers
-------------------------------------------
Work Shown:
Convert the time 7:45, which represents 7 min 45 sec, to seconds only
7:45 = (7 min) + (45 sec)
7:45 = (7*60 sec) + (45 sec)
7:45 = (420 sec) + (45 sec)
7:45 = (420+45) sec
7:45 = 465 sec
Do the same for 5:51
5:51 = (5 min) + (51 sec)
5:51 = (5*60 sec) + (51 sec)
5:51 = (300 sec) + (51 sec)
5:51 = (300+51) sec
5:51 = 351 sec
So the initial time is 465 seconds and it drops to 351 seconds
Subtract the values to find the amount dropped: 465-351 = 114
Divide that difference over the initial time: 114/465 = 0.24516
Move the decimal over 2 spots to the right to convert to a percentage: 0.24516 --> 24.516%
Then round to the nearest hundredth of a percent (2 decimal places) to go from 24.516% to 24.52% which is our final answer
So the reduction is roughly 24.52%
This means if you took 24.52% of the initial time and subtracted it off, then you'd get to about 351 seconds.
Answer:
24.52%
Step-by-step explanation:
Mr. Young has a section of his parking lot, measuring 10 yards by 12 yards, that needs to be repaved. The paving company told Mr. Young the workers complete square yards every hour. How long should it take to pave the parking lot?
Answers
10 yards × 12 yards = 120 yards^2
if the take 1 hour to complete 1 square yard , the would take 120 hours to complete the intire parking lot.
I hope you understood my brief explanation
And please consider marking this as the Branliest awnser if you think it deserves it! Thank you :)
Sarah has grades of 98 and 98 on her first two test if she want to average at least 80 after her third test what must she make on that test
Answers
So sarah need to get a 44 percent on her next test!
Hope this helps!
♤MidnightQueen
240\80=44 Answer is 44
When 2/3 of a number is added to 10 the result is 5 more than the number find the number g?
Answers
[tex]g-the\ number\\\\\dfrac{2}{3}g+10=g+5\qquad\text{multiply both sides by 3}\\\\2g+30=3g+15\qquad\text{subtract 30 from both sides}\\\\2g=3g-15\qquad\text{subtract 3g from both sides}\\\\-g=-15\qquad\text{change the signs}\\\\\boxed{g=15}[/tex]
Use the empirical rule to solve the problem. ed's monthly phone bill is normally distributed with a mean of $65 and a standard deviation of $11. what percentage of his phone bills are more than $76?
Answers
16% of Ed's monthly phone bills are more than $76.
Answer:
16% of his phone bills are more than $76
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 65
Standard deviation = 11
What percentage of his phone bills are more than $76?
76 = 65 + 11
So 76 is one standard deviation above the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% are more than 1 standard deviation from the mean. Since the normal probability distribution is symmetric, 16% of them are more than 1 standard deviation below the mean and 16% are more than 1 standard deviation above the mean. So
16% of his phone bills are more than $76
subtracting/adding mixed fractions
Answers
= 3 2/4
= 3 1/2
b)
= 7 10/15 + 2 3/15
= 9 13/15
Find the exact length of the curve.x = y48 + 14y2, 1 ≤ y ≤ 2
Answers
[tex]x=\frac{y^4}{8}+\frac{1}{4y^2},1\leq y\leq 2[/tex]
We'll use the formula for the arc length of a function which is the following:
[tex]L=\int ds\\ ds=\sqrt{1+\lef(\frac{dx}{dy} )^2}dy[/tex]
Now let's get the derivative of x:
[tex]\frac{dx}{dy}=\frac{4}{8}y^3-\frac{2}{4}\frac{1}{y^{3}}\\=\frac{1}{2}(y^3-\frac{1}{y^3})[/tex]
Alright now plug this into ds formula to get:
[tex]ds=\sqrt{1+\frac{1}{4}(y^3-\frac{1}{y^3})^2}[/tex]
Notice that:
[tex]1+\frac{1}{4}(y^3-\frac{1}{y^3})^2=1+\frac{1}{4}y^6-\frac{1}{2}+\frac{1}{4y^6}\\ =(\frac{1}{2}y^3+\frac{1}{2}y^{-3})^2 [/tex]
Now the integral will be more simple:
[tex]L=\int_1^2\sqrt{(\frac{1}{2}y^3+\frac{1}{2}y^{-3})^2}dy=\int_1^2\frac{1}{2}y^3+\frac{1}{2}y^{-3}dy\\=[\frac{1}{8}y^4-\frac{1}{4}y^{-2}]_2^1\\ =\frac{33}{16}[/tex]
The exact length of the curve x = y^48 + 14y^2, for 1 ≤ y ≤ 2, can be found by differentiating x with respect to y, substituting into the formula for arc length, and solving the integral from y=1 to y=2.
Explanation:To solve this problem, we use the formula for the arc length of a curve given by a function in parametric form. This formula is L = ∫sqrt(1+(dx/dy)^2)dy, with integration done over the interval [1,2].
In this case, our function is given as x = y^48 + 14y^2. First, we differentiate x with respect to y to get dx/dy = 48y^47 + 28y. We then substitute this into the formula to get L = ∫sqrt(1+(48y^47 + 28y)^2)dy. To solve this integral, you can use a standard calculus method or a calculator with integral functions. Make sure to evaluate the definite integral from y=1 to y=2.
Learn more about Arc Length here:https://brainly.com/question/32035879
#SPJ11
Choose the correct classification of x6 + 3x3 by number of terms and by degree.
Third degree polynomial
Fourth degree trinomial
Third degree binomial
Sixth degree binomial
Answers
Since there are 2 terms, this is a binomial
The degree of these is found by looking at the largest exponent on its variables. The highest degree in this binomial is the power 6
Therefore, it is a sixth degree binomial
The uploaded picture below will be helpful
A box has dimensions of 3 inches, 5 inches and 7 inches what is the surface area
Answers
2(3*5+5*7+7*3)
2(15+35+21)
2(71)
SA= 142
Final answer:
The surface area of a box with dimensions of 3 inches by 5 inches by 7 inches is calculated using the formula 2lw + 2lh + 2wh, resulting in a total surface area of 142 square inches.
Explanation:
To calculate the surface area of a box with dimensions of 3 inches, 5 inches, and 7 inches, you would use the surface area formula for a rectangular prism. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
In this case:
Length (l) = 3 inches
Width (w) = 5 inches
Height (h) = 7 inches
Now, plug these dimensions into the formula:
Surface Area = 2(3 inches × 5 inches) + 2(3 inches × 7 inches) + 2(5 inches × 7 inches)
Surface Area = 2(15) + 2(21) + 2(35)
Surface Area = 30 + 42 + 70
Surface Area = 142 square inches
Therefore, the surface area of a box with dimensions of 3 inches by 5 inches by 7 inches is 142 square inches.
Evaluate the expression 9p6
Answers
9P6 = 60480
Explanation:
In general:
nPx = n! / (n-x)!
In the given, we have:
n = 9 and x = 6
Therefore:
9P6 = 9! / (9-6)!
= 9! / 3!
= (9*8*7*6*5*4*3*2*1) / (3*2*1)
= 60480
Hope this helps :)
Answer:
60,480
Step-by-step explanation:
I got it correct on founders edtell
One drawer in a dresser contains 7 blue socks and 7 white socks. a second drawer contains 5 blue socks and 1 white socks. one sock is chosen from each drawer. what is the probability that they match? express the answer in decimals.