Answer:
Circle centered on origin, (0, 0)
Radius = 7units
To find if the point lies on the circle , check if the distance from the center to the point is 7units.
[tex]distance = \sqrt{(x_{1} -x_{2})^{2} +(y_{1} -y_{2})^{2} } \\(x_{1} ,y_{1} ) =(0, 0)\\(x_{2}, y_{2}) = (-3, 2\sqrt{10} )\\\\distance = \sqrt{(0--3)^2+(0-2\sqrt{10})^2 } = \sqrt{9+40} = \sqrt{49} = 7units[/tex]
Since the distance between the center and the point is 7units. the point lies on the circle.
Circle O is centered on the origin with a diameter of 14 units. Since the distance between the center and the point is 7units. So, the point lies in the circle.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
We have been given a Circle centered on the origin, (0, 0)
Radius = 7units
In order to find if the point lies on the circle, check if the distance from the center to the point is 7units.
(x, y) = (0, 0)
(p, q) = (-3,2√10)
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
[tex]D = \sqrt{(0-(-3))^2 + (0-2\sqrt{10} )^2} \: \rm units.\\\\D = \sqrt{9+ 40} \\\\D = \sqrt{49} \\\\D = 7[/tex]
Since the distance between the center and the point is 7units. So, the point lies on the circle.
Learn more about the distance between two points here:
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The total number of running yards in a football game was less than 100. The inequality x <100 represents the
situation. Which graph represents the inequality?
95 96 97 98 99 100101102103104105
95 96 97 98 99 100 101 102103104105
95 96 97 98 99 100 101 102103104105
95 96 97 98 99 100101102103104105
Answer:
answer is B
Step-by-step explanation:
got it right on edge :)
Find the volume of the
triangular prism.
3.2 cm
9 cm
4.8 cm
Answer:
53.76 cm3
Step-By-Step Explanation
What is the volume, in cubic meters, of a cylinder with a height of 3 meters and a base
radius of 4 meters, to the nearest tenths place?
Answer:
answer is 150
Step-by-step explanation:
hope it helps
the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards
Answer:
Step-by-step explanation:
W = 2L + 3, and:
P = 2W + 2L = 192
Substituting 2L + 3 for W, we get:
P = 2(2L + 3) + 2L = 192, or
4L + 6 + 2L = 192, or:
6L = 186
L = 186/6 = 31
The length is 31, the width is 62 + 3, or 65
Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)
Can someone help me find the measure of each angle indicated please
Answer:
Option B, 105 would be correct
Step-by-step explanation:
The Vertical Angles Theorem states that angles that are opposite diagonally are congruent, therefore; ? = 105°
Hope this helps!
solve for x 9.2, 16.5, x
Answer:
152
Step-by-step explanation:
If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?
Answer:
A = $3,526.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = [tex]\frac{R}{100}[/tex]
r = [tex]\frac{3.5}{100}[/tex]
r = 0.035 rate per year,
Then solve the equation for A
A = P(1 + [tex]\frac{r}{n}[/tex])nt
A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)
A = 2,500.00(1 + 0.035)(10)
A = $3,526.50
Hence:
The total amount of over 10 years is $3,526.50.
CAN SOME OME ANSWER A AND B PLEASE!!z
Pls help I’ll brainlest hurry due in 3 minutes
Answer:
B
Step-by-step explanation:
MOVE TO THE RIGHT 9 TIMES!!
Each day 1/2 of the money that is in a bank is removed .no money is added to the vault .which of the following models the situation
A flashlight flashes every 45 seconds. After 10 ½ minutes, how many times does the light flash?
Answer:
14
Step-by-step explanation:
Answer:
14 flashes.
Step-by-step explanation:
1 minute = 60 seconds
x minutes = 45 seconds.
1/x = 60/45 Cross multiply
60x = 45 Divide by 60
x = 45/60
x = .75
10 1/2 minutes = 10.5 minutes.
x flashes / 10.5 minutes = 1 flash / 0.75 minutes Multiply by 10.5
x = 10.5/0.75
x = 14
3X + 2 = 17 how do i show my work for this help
Which of the following is NOT a way to write a probability?
O Decimal
O Percent
O Fraction
O Mr. Eisenberg
Can someone help me with this?
Answer:
I can help you via Watsapp
What Is 3/4x1/3? Please Help Quick
Answer:
1/4
Step-by-step explanation:
For this, think of dividing 3/4 into 3 parts, each of them being 1/3 of the original amount.
With this, it would be 1/4, as 1/4 + 1/4 + 1/4 = 3/4.
Solve for x.
Your answer must be simplified.
х
--30 <
-4.
First to answer correctly is Brainlyest
Answer:
x < 26
Step-by-step explanation:
Given the following algebraic expression;
x - 30 < -4
To find the value of x in its simplest form;
First of all, we would have to rearrange the algebraic expression to make the variable on one side and the integer on the other side;
Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.
x < -4 + 30
x < 26
Find the area of the parallelogram shown below 5 3
Answer:
15 square units
Step-by-step explanation:
If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.
All you have to do is length x height
5 x 3 = 15
solve for x?
A. 2
B. 15
C. 50
D. 10
Answer:
Is it C. 50
Step-by-step explanation:
Answer:
Easy is 15 bc 15 and 10 are in a 5 equal to 5 x 2 10 and you take the 5 away from the 50 and so its 15 trust
Step-by-step explanation:
Mama kupiła szampon do włosów, mydło i krem do rąk. Za te zakupy zapłaciła 19 zł. Szampon kosztował o 7 zł więcej niż mydło, a krem do rąk był cztery razy droższy niż mydło.
Ile kosztowała każda z rzeczy zakupionych przez mamę? Ułóż odpowiednie równanie i je
rozwiąż.
Answer:
you language is i don't know
Step-by-step explanation:
for now I did
What are the coordinates of the image of ABC after a dilation with center (0, 0) and a scale factor of 1/2 ? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Use numbers 1,2,3,4,5,6
Please help I will give 100 points.
Answer:
A(2,2) _scale factor ½--(1,1)
B(4,6)_scale factor ½--(2,3)
C(6,2)_scale factor ½--(3,1)
is a required coordinate
Scale factor=1/2
Apply and get new coordinates
A'=(1,1)B'=(2,3)C'=(3,1)The knockoff Jersey store sold 6 more Leafs jerseys than Senators. Four times the number of Senators Jersey sold plus three times the number of Leafs jerseys sold is 102. How many Leaf Jerseys were sold?
Answer:
72
Step-by-step explanation:
6x4=24x3=72
What is the measure of X , in degrees? HELPP!
Answer:
86°
Step-by-step explanation:
Two angles in a triangle measure 102° and 54º. What is the measure of the third angle?
Answer:
24°
Step-by-step explanation:
The sum of all interior angles of a triangle always equal to 180°.
There are two givens in the problem. Set up the equation by equaling 180 to the two given angles and the unknown.
[tex]180 = 102 + 54 + x\\180 = 156 + x\\[/tex]
Isolate x by subtracting 156 to both sides.
[tex]180 - 156 = 156 - 156 + x\\x= 180-156\\x=24\\[/tex]
Pls help me with math
Answer:
true
Step-by-step explanation:
They are dependent because the outcome of the event affects them
What is the area of the isosceles triangle shown?
Answer:
672 meters squared
Step-by-step explanation:
Area of Triangle: b*h*1/2
The isosceles triangle's height, splits the base in half.
Answer:
672
Step-by-step explanation:
Area of a triangle = [tex]\frac{bh}{2}[/tex]
where b = base length and h = height
In the triangle shown, we are only given the base length
This means that we must find the height in order to find the area.
We can do this by using the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex]
where a and b = legs and c = hypotenuse
Two right triangles are formed within the isosceles triangle.
Each has a hypotenuse of 50 m, a base length of 28/2=14m ( because they are sharing the base length ) and they are both sharing the height.
So we are given the hypotenuse and a leg and we need to find the other leg
So we plug in what we are given and solve for the missing side length
[tex]50^2=a^2+14^2\\50^2=2500\\14^2=196\\2500=a^2+196[/tex]
step 1 subtract 196 from each side
2500 - 196 = 2304
196 - 196 cancels out
we now have 2304 = a²
step 2 take the square root of each side
[tex]\sqrt{a^2} =a\\\sqrt{2304} =48[/tex]
we're left with a = 48
This means that the height of the isosceles triangle is 48m
Now we can find the area.
Using the formula stated previous....
[tex]A=\frac{28*48}{2} \\28*48=1344\\\frac{1344}{2} =672[/tex]
Hence, the area is 672m²
Help !!!! I don’t understand
Answer:
[tex](g\ o\ f)=-20x+10[/tex]
Step-by-step explanation:
One is given the following functions:
f(x) =5x + 2
g(x) = 4x + 2
One is asked to find the following:
[tex](g\ o\ f)(x)[/tex]
One can rewrite this operation as the following:
g(f(x))
In essence, one substitutes in function (g) in place of the parameter (x), and solves to find the new function formed.
[tex]g(f(x))\\\\=g(-5x+2)\\\\=4(-5x+2)+2[/tex]
Simplify, distribute, multiply every term in the parenthesis by the term outside of it, then simplify,
[tex]=-20x+8+2\\\\=-20x+10[/tex]
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Aaron sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
41 visitors purchased no costume.
78 visitors purchased exactly one costume.
10 visitors purchased more than one costume.
If next week, he is expecting 2000 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.
Answer:
115
Step-by-step explanation:
41 no costume, 78 exactly one costume, 10 more than one costume.
41+78+\color{steelblue}{10}=
41+78+10=
\,\,\color{indianred}{129}
129
There were a toal of 129 visitors. 10 purchased more than one costume.
Probability the next customer will purchase more than one costume:
\frac{\color{steelblue}{10}}{\color{indianred}{129}}\phantom{=}
129
10
=
\,\,
Out of 2000 new trials, we would expect more than one costume to be selected:
\color{purple}{2000}\times\frac{\color{steelblue}{\color{steelblue}{10}}}{\color{indianred}{\color{indianred}{129}}}=
2000×
129
10
=
\,\,155.038759...
155.038759...
\approx
≈
\,\,155
155
The number of visitors that expect to buy more than one costume will be 155.
What is the expected value?The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
Aaron creates a website where players may trade and purchase these costumes. The numbers below show how many people visited the website and how many costumes were bought in a single day.
The probability of visitors purchasing more than one costume is calculated as,
p = 10 / (41 + 78 + 10)
p = 10 / 129
If next week, he is expecting 2000 visitors. Then the expected value is given as,
E = 2000 x (10 / 129)
E = 155.038
E ≈ 155
The number of visitors that expect to buy more than one costume will be 155.
More about the expected value link is given below.
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PLEASE HELP ASAP (:
Fill in the blank to complete this trig
ratio.
sin a =
Answer:
Sin(a)= [tex]\frac{z}{x}[/tex]
Hope this helps!
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it. You randomly ask 20 Greensboro voters whether they support the bond referendum. The standard error of the sample proportion is _____. The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is _____. Group of answer choices 0.0993; 0.6000 0.0993; 0.0951 0.1095; 0.1170 0.1095; 0.8830
Answer:
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
73% of voters support it.
This means that [tex]p = 0.73[/tex]
Sample of 20 voters
This means that [tex]n = 20[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.73[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993[/tex]
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is
12/20 = 0.6, so this is the p-value of Z when X = 0.6.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.6 - 0.73}{0.0993}[/tex]
[tex]Z = -1.31[/tex]
[tex]Z = -1.31[/tex] has a p-value of 0.0951.
So
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951
Given that,
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it.
You randomly ask 20 Greensboro voters whether they support the bond referendum.
We have to determine,
The standard error of the sample proportion is.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is .
According to the question,
There is a school bond referendum in Greensboro, and 73% of voters support it.
20 Greensboro voters whether they support the bond referendum.
To find standard deviation of sample proportion.
[tex]standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
Where, p = 73% = 0.73
And n = 20
Therefore,
[tex]Standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}\\\\ Standard \ deviation = \sqrt{\dfrac{0.73(1-0.73)}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.73\times 0.27}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.19}{20}}\\\\Standard \ deviation = 0.0098[/tex]
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is,[tex]\dfrac{12}{20 }= 0.6[/tex]
This is the p-value of Z when X = 0.6.
Therefore,
[tex]Z = \dfrac{X-\mu}{\sigma}\\\\Z = \dfrac{0.6-0.73}{0.993}\\\\Z = -1.31\\\\[/tex]
Z = -1.31 has a p-value of 0.0951.
Hence, The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
To know more about Probability click the link given below.
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Which equation is true?
9 × 8 = 8 × 9 equation is true