Find a coordinate on the line.

y - 5 = 8(x + 2)
Question 3 options:


(8, 2)


(2, -5)


(-2, 5)


(-5, 2)

Answer:

Radius on it's own is enough

Step-by-step explanation:

you could get the radius from the other informations, but after all you will calculate the volume with it and not the otheds, so just take radius. a sphere is, in terms of information, the simplest 3D-body to describe, like with a circle in 2D

The dimensions would you need to calculate the volume of a basketball is Radius on its own is enough

We have given that,

radius and height

length, width, and slant height

radius

length, width, and height

We have to determine the dimensions would you need to calculate the volume of a basketball.

Dimensions in mathematics are the measure of the size or distance of an object or region or space in one direction.

you could get the radius from the other information, but after all, you will calculate the volume with it and not the others, so just take the radius.

A sphere is, in terms of information, the simplest 3D body to describe, like a circle in 2D.

To learn more about the dimension visit:

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Answer:

See attachment

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccc}{Marks} & {0-10} & {10-20} & {20-30} & {30-40} & {40-50} & {50-60}\ \\ {Students} & {7} & {15} & {22} & {30} & {16} & {10} \ \end{array}[/tex]

Required

The frequency polygon

We have:

[tex]\begin{array}{ccccccc}{Marks} & {0-10} & {10-20} & {20-30} & {30-40} & {40-50} & {50-60}\ \\ {Students} & {7} & {15} & {22} & {30} & {16} & {10} \ \end{array}[/tex]

First, we calculate the midpoint of each class

[tex]\begin{array}{ccccccc}{Midpoint} & {(0+10)/2} & {(10+20)/2} & {(20+30)/2} & {(30+40)/2} & {(40+50)/2} & {(50+60)/2}\ \\ {Students} & {7} & {15} & {22} & {30} & {16} & {10} \ \end{array}[/tex]

[tex]\begin{array}{ccccccc}{Midpoint} & {5} & {15} & {25} & {35} & {45} & {55}\ \\ {Students} & {7} & {15} & {22} & {30} & {16} & {10} \ \end{array}[/tex]

Lastly, we plot the midpoint against the frequency of students (see attachment)

Answer:

y=3 and x=3*sqrt(3)

Step-by-step explanation:

sin(30)=y/6

1/2=y/6, y=3. As it's a right angled triangle, 6^2-3^2=x^2, x=3*sqrt(3)

Answer:

x = 3 sqrt(3)

y = 3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 30 = y /6

6 sin 30 = y

6 (1/2) = y

3 = y

cos theta = adj / hyp

cos 30 = x /6

6 cos 30 =x

6 ( sqrt(3)/2) =x

3 sqrt(3) = x

Answer:

B

Step-by-step explanation:

f(x) = sqrt(x) + 9

f(x) - 9=sqrt(x)

f^(-1)(x)=(x-9)^2 and it's domain is greater than 0

Answer:

1. Degree = 1, monomial

2. Degree = 2, monomial

3. degree = 2, trinomial

4. Degree = 2, binomial

5. Degree  = 2, binomial

Step-by-step explanation:

Answer:

Simply because x=y2 doesn't imply that y=

√

x

.

Answer:

[tex]n = 8[/tex]

Step-by-step explanation:

Given

[tex]3(^nP_2 + 24) = ^{2n}P_2[/tex]

Required

Find n

To do this, we simply apply permutations formula

[tex]nP_r = \frac{n!}{(n -r)!}[/tex]

So, we have:

[tex]3 * [\frac{n!}{(n -2)!} + 24] = \frac{2n!}{(2n -2)!}[/tex]

Expand

[tex]3 * [\frac{n * (n - 1) * (n - 2)!}{(n -2)!} + 24] = \frac{2n * (2n - 1) * (2n - 2)}{2n - 2}[/tex]

[tex]3 * [n * (n - 1) + 24] = 2n * (2n - 1)[/tex]

[tex]3 * [n^2 - n + 24] = 4n^2 - 2n[/tex]

Open bracket

[tex]3n^2 - 3n + 72 = 4n^2 - 2n[/tex]

Collect like terms

[tex]3n^2 - 4n^2- 3n+2n + 72 = 0[/tex]

[tex]-n^2- n + 72 = 0[/tex]

Expand

[tex]-n^2 -9n + 8n + 72 = 0[/tex]

Factorize

[tex]-n(n +9) - 8(n + 9) = 0[/tex]

Factor out n + 9

[tex](-n -8)(n + 9) = 0[/tex]

Split

[tex](-n -8)= 0 \ or\ (n + 9) = 0[/tex]

Solve for n

[tex]n =8\ or\ n = -9[/tex]

The positive value is [tex]n = 8[/tex]

Answer:

Option b: Rectangle

Explanation:

Give branliest pls ;)

9514 1404 393

Answer:

  90°, 60°, 30°

Step-by-step explanation:

The remaining angles have a ratio of 2:1, so total 3 "ratio units". The first angle is equal to that sum: 3 ratio units, so all of the angles together total 3+2+1 = 6 ratio units. The total of angles is 180°, so each ratio unit is 180°/6 = 30°.

The first angle is 3 ratio units, or 90°.

The second angle is 2 ratio units, or 60°.

The third angle is half that, or 30°.

The three angles are 90°, 60°, 30°.

Answer:

AC is about 4.29

Step-by-step explanation:

we need to use simple trigonometry for this problem

the tangent of an angle is the ratio between the opposite side and the adjacent side

so the tangent of the angle 35º is BC / AC

tan(35) is about 0.7

this means that BC / AC = 0.7

we know BC is 3

so 3 / AC = 0.7

3 = 0.7(AC)

AC is about 4.29

Answer:

ask in English then I can help

The expected value of a normal distribution is the mean of the distribution, while the variance measures the squared deviation of a value from the expected value. The expected value and the variance are: [tex]13.6190 \times 10^{-5}[/tex] and [tex]580.8000 \times 10^{-9}[/tex]

Given that, the diameters are:

[tex]d_1 = 0.02[/tex]

[tex]d_2 = 0.08[/tex]

The radius is:

[tex]r = \frac{d}{2}[/tex]

So, we have:

[tex]r_1 = \frac{0.02}{2} = 0.01[/tex]

[tex]r_2 = \frac{0.08}{2} = 0.04[/tex]

The volume of the sphere is:

[tex]V = \frac{4}{3} \times \pi \times r^3[/tex]

For [tex]r_1 = 0.01[/tex], the volume is:

[tex]V_1 = \frac{4}{3} \times \frac{22}{7} \times 0.01^3 = 0.419047 \times 10^{-5}[/tex]

For [tex]r_2 = 0.04[/tex], the volume is

[tex]V_2 = \frac{4}{3} \times \frac{22}{7} \times 0.04^3 = 26.819047 \times 10^{-5}[/tex]

The mean of a uniform distribution is:

[tex]E(y) = \frac{a + b}{2}[/tex]

In this case, the mean is:

[tex]E(y) = \frac{V_1 + V_2}{2}[/tex]

So, we have:

[tex]E(y) = \frac{0.419047 \times 10^{-5} + 26.819047 \times 10^{-5}}{2}[/tex]

[tex]E(y) = \frac{27.238094\times 10^{-5} }{2}[/tex]

[tex]E(y) = 13.619047 \times 10^{-5}[/tex]

Approximate

[tex]E(y) = 13.6190 \times 10^{-5}[/tex]

The variance of a uniform distribution is:

[tex]V(y) = \frac{(b-a)^2}{12}[/tex]

In this case, the volume is:

[tex]V(y) = \frac{(V_2-V_1)^2}{12}[/tex]

So, we have:

[tex]V(y) = \frac{(26.819047 \times 10^{-5}- 0.419047 \times 10^{-5})^2}{12}[/tex]

[tex]V(y) = \frac{(26.4 \times 10^{-5})^2}{12}[/tex]

[tex]V(y) = \frac{(696.96 \times 10^{-10})}{12}[/tex]

[tex]V(y) = 58.08000 \times 10^{-10}[/tex]

Rewrite as:

[tex]V(y) = 580.8000 \times 10^{-9}[/tex]

Hence, the expected value and the variance of the sphere are:[tex]13.6190 \times 10^{-5}[/tex] and [tex]580.8000 \times 10^{-9}[/tex]

Learn more about expected values and variance at:

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Answer:

y = -3x/2 - 1/2

Step-by-step explanation:

slope m = -3/2

-5 = (-3/2)×3+b

or, b = -1/2

putting it into y = mx + b

y = -3x/2 - 1/2

Answered by GAUTHMATH

9514 1404 393

Answer:

  (d)  360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

[tex]f(t) = 10000(0.9407)^t[/tex]

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

[tex]f(t) = f(0)(1-r)^t[/tex]

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that [tex]f(0) = 10000[/tex], thus:

[tex]f(t) = 10000(1-r)^t[/tex]

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

[tex]f(2) = 8850[/tex]

We use this to find 1 - r.

[tex]f(t) = 10000(1-r)^t[/tex]

[tex]8850 = 10000(1-r)^2[/tex]

[tex](1-r)^2 = \frac{8850}{10000}[/tex]

[tex](1-r)^2 = 0.885[/tex]

[tex]\sqrt{(1-r)^2} = \sqrt{0.885}[/tex]

[tex]1 - r = 0.9407[/tex]

Thus

[tex]f(t) = 10000(1-r)^t[/tex]

[tex]f(t) = 10000(0.9407)^t[/tex]

Using the hypergeometric distribution, it is found that there is a 0.2831 = 28.31% probability that exactly one of the containers is from the Florida supplier.

The containers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that exactly one of the containers is from the Florida supplier is P(X = 1), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 1) = h(1,18,3,11) = \frac{C_{11,1}C_{7,2}}{C_{18,3}} = 0.2831[/tex]

0.2831 = 28.31% probability that exactly one of the containers is from the Florida supplier.

A similar problem is given at https://brainly.com/question/24826394

Answer:504

This is the answer

504

Answer:

1/19

Step-by-step explanation:

There are a total of 36+2 = 38 spaces

2 are green

P(green) = green / total

             = 2/38

            =1/19

            .052631579

The correct answer of the question is "0.7062" and "0.835". The further solution is provided below.

Given:

Probability of student smoke,

P = 27.7%

  = 0.277

Number of students (n) = 632

[tex]q = 1-p[/tex]

  [tex]=1-0.277[/tex]

  [tex]=0.723[/tex]

(i)

Here,

Number of students (n) = 60

then,

⇒ [tex]n_P=60\times 0.277[/tex]

         [tex]=16.62[/tex]

⇒ [tex]n_q=60\times 0.723[/tex]

        [tex]=43.38[/tex]

We can see that [tex]n_P > 10[/tex] and [tex]n_q>10[/tex] so the normal approximation condition are met.

Now,

[tex]\mu = n_P= 16.62[/tex]

[tex]\sigma = \sqrt{n_{Pq}}[/tex]

  [tex]= \sqrt{60\times 0.277\times 0.723}[/tex]

  [tex]=3.9664[/tex]

Now,

⇒ [tex]P(X<19) = P(X<18.5)[/tex]

                      [tex]=P(Z_{18.5})[/tex]

The Z-score is:

= [tex]\frac{18.5-16.62}{3.4664}[/tex]

= [tex]0.5423[/tex]

hence,

The probability will be:

⇒ [tex]P(Z_{18.5}) = 0.7062[/tex]

or,

⇒ [tex]P(Z<19) = 0.7062[/tex]

(ii)

Here,

Number of students (n) = 75

[tex]\mu = n_P = 75\times 0.277[/tex]

            [tex]=20.775[/tex]

[tex]\sigma = \sqrt{n_{Pq}}[/tex]

   [tex]=\sqrt{75\times 0.277\times 0.723}[/tex]

   [tex]=3.8756[/tex]

Now,

⇒ [tex]P(X>17) = P(X> 17.5)[/tex]

                      [tex]=1-P(X \leq 17.5)[/tex]

                      [tex]=1-P(Z_{17.5})[/tex]

The Z-score is:

= [tex]\frac{17.5-20.775}{3.8756}[/tex]

= [tex]-0.9740[/tex]

then, [tex]P(Z_{17.5}) = 0.165[/tex]

hence,

The probability will be:

⇒ [tex]P(X>17) = 1-0.165[/tex]

                      [tex]=0.835[/tex]    

Learn more about Probability here:

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Answer:

y = 3x - 2

Happy Studying

9514 1404 393

Answer:

  B) -2

Step-by-step explanation:

The midpoint is the average of the end points.

  M = (A +B)/2

  M = (-6 +2)/2 = -4/2 = -2

The coordinate of M is -2.

Answer:

Mr. Rowley=16:14

=8:7

Ms.Rivera= 64:60

=16:15

Answer:

HJ = FG

Step-by-step explanation:

SAS means side - (included) angle - side.

we have one angle confirmed (at H and at G).

we have actually one side confirmed (HG), because the graphic shows that this side is shared between the triangles. so, implicitly it is not only congruent but really identical.

so, we need the confirmation of the second side enclosing the confirmed angle.

Answer:

X = 560

Step-by-step explanation:

Speed = distance / time

Distance = 2660 miles

Time taken = 4.75 hours

Writing the equation in terms of proportion :

Rate or speed = Distance : time

Speed = 2660 : 4.75

Reducing to lowest term ;

Divide both sides by 4.75

Hence, we have ;

Speed = 2660/4.75 : 4.75/4.75

Speed = 560 : 1

Comparing with the proportion in the question, X = 560

Answer:

1500000

Step-by-step explanation:

1 metre = 100 cm

15000metre =15000*100

=1500000

Answer:

a) generalization

Step-by-step explanation:

The statement is an example of a generalization. This is because the statement is assumming that all individuals who go to community college are poor. Therefore, this is why they cannot go to a four-year college, and instead go to a community college which is far cheaper. This assumption is being applied to all individuals who attend community college, without any further or more-specific information about each individual, therefore generalizing the entire situation.

Answer:D) Under-root 25.Under-root 3

Step-by-step explanation

Under-root 25 = 5

Answer:

Answer D and B.

Step-by-step explanation:

[tex]{ \bf{5 \sqrt{3} }} \\ = { \bf{ \sqrt{ {5}^{2} } \times \sqrt{3} }} \\ = { \bf{ \sqrt{25} . \sqrt{3} }}[/tex]

Answer:

P(0 < z < 1.56)=0.4406

Step-by-step explanation:

(3x +2)(x -3)

FOIL method

3x^2 -9x + 2x -6

3x^2 -7x -6

Your answer: 3x^2 -7x -6