HELP!! pls
Circle O is centered on the origin with a diameter of 14 units. Determine if the point
reasoning
(-3,2/10)
is on the circle. Explain your reasoning

HELP!! Pls Circle O Is Centered On The Origin With A Diameter Of 14 Units. Determine If The Pointreasoning(-3,2/10)is

Answers

Answer 1

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.

Answer 2

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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Related Questions

Two angles in a triangle measure 102° and 54º. What is the measure of the third angle?

Answers

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]

Which of the following is NOT a way to write a probability?
O Decimal
O Percent
O Fraction
O Mr. Eisenberg

Answers

I’m really sure it’s D. Mr. Eisenberg

What is the measure of X , in degrees? HELPP!

Answers

Answer:

86°

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.

Answers

Answer:

you language is i don't know

Step-by-step explanation:

for now I did

Pls help me with math

Answers

Answer:

true

Step-by-step explanation:

They are dependent because the outcome of the event affects them

Find the volume of the
triangular prism.
3.2 cm
9 cm
4.8 cm

Answers

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?

Answers

Answer:

answer is 150

Step-by-step explanation:

hope it helps

Which equation is true?

Answers

Answer:

9 × 8 = 8 × 9 equation is true

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

Answers

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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3X + 2 = 17 how do i show my work for this help

Answers

3x +2=17
-2 -2
3x= 15
/3 /3

x=5

Can someone help me with this?

Answers

Answer:

I can help you via Watsapp

What is the area of the isosceles triangle shown?

Answers

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

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.

Answers

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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solve for x 9.2, 16.5, x

Answers

Answer:

152

Step-by-step explanation:

PLEASE HELP ASAP (:
Fill in the blank to complete this trig
ratio.
sin a =

Answers

Answer:

Sin(a)= [tex]\frac{z}{x}[/tex]

Hope this helps!

solve for x?

A. 2
B. 15
C. 50
D. 10​

Answers

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:

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?

Answers

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.

A flashlight flashes every 45 seconds. After 10 ½ minutes, how many times does the light flash?

Answers

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

Pls help I’ll brainlest hurry due in 3 minutes

Answers

Answer:

B

Step-by-step explanation:

MOVE TO THE RIGHT 9 TIMES!!

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

Answers

Answer:

answer is B

Step-by-step explanation:

got it right on edge :)

the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards

Answers

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

Answers

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!

What Is 3/4x1/3? Please Help Quick

Answers

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.

CAN SOME OME ANSWER A AND B PLEASE!!z

Answers

(3a) |-12|< |15| bc the absolute value of -12 is 12. 15 is greater than 12.

(3b) -3/4 is less than -2/3. We can find this by converting the fractions into decimals. -3/4 = -.75 -2/3 = -.66

Help !!!! I don’t understand

Answers

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]

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?

Answers

Answer:

72

Step-by-step explanation:

6x4=24x3=72

Solve for x.
Your answer must be simplified.
х
--30 <
-4.
First to answer correctly is Brainlyest

Answers

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

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.

Answers

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

A(2,2)B(4,6)C(6,2)

Scale factor=1/2

Apply and get new coordinates

A'=(1,1)B'=(2,3)C'=(3,1)

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

Answers

c. exponential decay function

Find the area of the parallelogram shown below 5 3

Answers

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

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