The population distribution of SAT scores is normal with a mean of μ=500 and a standard deviation of SD=100. For example, what is the probability of randomly selecting an individual from this population who has an SAT score greater than 700?

Answer:

  55°

Step-by-step explanation:

Perhaps you want the measure of angle B. (There is no "b" in the figure.)

That measure is half the measure of the intercepted arc:

  m∠B = 110°/2 = 55°

Angle B is 55°.

Answer:

35:40 = 7:8 is the equivalent ratio.

Step-by-step explanation:

35 / 5 = 7

40 / 5 = 8

=

7:8

Answer:

the equivalent ratio is 35:40 = 7:8

Step-by-step explanation:

35 divided by 5= 7

40 divided by 5= 8

=7:8

Answer:

A.   L = 240 m

Step-by-step explanation:

use similar triangle

L / 60 = 80 / 20

L = (80 * 60) / 20

L = 240 m

The required distance across the lake is 240 m. Hence correct option is A.

Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.

Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m

Thus, the required distance across the lake is 240 m.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ2

Answer:

The equal sign is generally placed at the separation between the left hand side and the right hand side

Step-by-step explanation:

Basically a typical equation has two parts, and one part is seen to be equal to the other part, and they are:

Generally equations are expressed algebraically,that is using letters/ alphabets and symbols to express mathematical relations

The left hand side mostly is the solution of the equation, while the right hand side contains symbols, alphabets used to find solution to the equation.

Answer:

i think 60 degree is the answer

Answer:

72°

Step-by-step explanation:

There are 5 petals , so

angle of rotation = 360° ÷ 5 = 72°

Answer:

-3x + y = 8.

3y = 9x.

Step-by-step explanation:

To find the slope of the lines we convert to slope-intercept form, which is

y = mx + c   (m is the slope.)

The slope of y = 3x + 5 is therefore 3.

Parallel lines have the same slope.

Finding the slope of the given lines:

-3x + y = 8

y = 3x + 8  - slope is 3 so this is parallel to  y = 3x + 5.

3y = 9x

Divide through by 3:

y = 3x  - so this is also parallel to 3x + 5.

y = -jx  The slope is -j so it is not parallel.

16x + 2y = 12

2y = -16x + 12

y = -8x + 6  - Not parallel.

Answer:

21 cents

Step-by-step explanation:

Take the cost per muffin and multiply by the number of muffins

7 cents * 3 muffins

21 cents

Answer:

4 hours per each room for 5 people

Step-by-step explanation:

Answer:

The formula for the slope is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Assign each given point to a variable:

Substitute in the values into the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}[/tex]

Therefore, the slope is 1/2.

Answer:

1/2

Step-by-step explanation:

The formula for slope: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Plug in:

[tex]\frac{11-7}{5-(-3)}[/tex]

11 - 7 = 4

5-(-3)

5 + 3 = 8

4/8 = 1/2

The slope is 1/2.

Hope this helped.

Answer:

Step 1 should have a -2 substituted for both values.

Answer: [tex]\large \boldsymbol{} \pmb{6\sqrt{2} i}[/tex]

Step-by-step explanation:

[tex]\large \boldsymbol{} \bf i=\sqrt{-1} \\\\ 2n^2=-144 \\\\n^2=-72 \\\\n=6\sqrt{2} i[/tex]

[tex]\\ \sf\longmapsto 2n^2=-144[/tex]

[tex]\\ \sf\longmapsto n^2=\dfrac{-144}{2}[/tex]

[tex]\\ \sf\longmapsto n^2=-72[/tex]

[tex]\\ \sf\longmapsto n=\sqrt{-72}[/tex]

[tex]\\ \sf\longmapsto n=8.4i[/tex]

Answer:

Okay please complete your question:)

Step-by-step explanation:

The math problem is incomplete...

Answer:   [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]

Step-by-step explanation:

[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]

Answer:

(x+8)(x-5)

Step-by-step explanation:

x^2 +3x-40

What two numbers multiply to -40 and add to 3

8 * -5 = -40

8+-5 = 3

(x+8)(x-5)

Answer:

(x + 8)(x - 5)

Brainliest, please!

Step-by-step explanation:

(x + )(x - )

Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8

(x + 8)(x -5)

Answer:

d. [tex]\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG[/tex]

Step-by-step explanation:

Here, we are given a diagram in which there are two triangles to be considered:

[tex]\triangle CJG \ and\ \triangle BJI[/tex].

We can consider the whole diagram in the form as attached in the answer area.

To find:

The conditions to prove [tex]\triangle CJG \sim \triangle BJI[/tex].

Solution:

First of all, let us learn about AAA similarity.

AAA stands for Angle Angle Angle.

i.e. when we prove that the all the three corresponding angles of two triangles are equal ,the triangles are similar.

There is one more property of the triangles, that if two angles of two triangles are equal then the third angle of the triangles will also be equal to each other.

So, actually, to prove that [tex]\triangle CJG \sim \triangle BJI[/tex], we need the conditions that two corresponding angles of the triangles are equal to each other, then we can say that third angle will also be equal. Therefore the triangles will be similar to each other.

Let us consider the corresponding angles:

[tex]\angle BIJ \ and \ \angle CGJ\ ,\ \angle BJI \ and \ \angle CJG\ , \ \angle IBJ\ and \ \angle GCJ[/tex]

So, if we are given that any of the two above three pairs are equal/congruent to each other, we can prove [tex]\triangle CJG \sim \triangle BJI[/tex].

Therefore, the correct answer is:

d. [tex]\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG[/tex]

Answer:

y = - 6, y = 4

Step-by-step explanation:

Given

2y² + 4y - 48 = 0 ( divide through by 2 )

y² + 2y - 24 = 0

Consider the factors of the constant term (- 24) which sum to give the coefficient of the y- term (+ 2)

The factors are + 6 and - 4 , since

6 × - 4 = - 24 and 6 - 4 = + 2 , thus

(y + 6)(y - 4) = 0

Equate each factor to zero and solve for y

y + 6 = 0 ⇒ y = - 6

y - 4 = 0 ⇒ y = 4

Answer:

Step-by-step explanation:

2y² + 4y - 48 = 0

2y² +  12y -  8y  + (-8)* 6 = 0

         2y(y + 6) - 8(y + 6) =0

                 (y + 6) (2y - 8)= 0

y + 6 = 0    ; 2y- 8 = 0

     y = -6            2y = 8

                             y = 8/2

                             y = 4

Solution: y = -6 , 4

Answer:

£600

Step-by-step explanation:

1 months= 30 days

here,

money made in 1 day= £20

now,

money made in 30 days= 20×30

= 600

[:• In one month you earn £600]

Answer:560 pounds

Step-by-step explanation:

If 1 day is equal to 20 pounds, to find how much pounds will you have a month, first check how many days are there in a month. Then multiply the number of days in a month to the given pound in one day.

So =1 month = 28 days

=1 day = 20 pounds

So= 20 pounds × 28 = 560 pounds

Answer:

The number of seedlings the three boys planted together is 560 seedlings

Step-by-step explanation:

The possible information in the question are;

Percentage of the seedlings planted by Ali = 40%

Percentage of the seedling planted by Ben = 45%

The percentage of the seedling planted by Cliff = The rest of the seedling

The number of seedling planted by Cliff = 84 siblings

Therefore, the percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%

Given that Cliff planted 15% of the seedlings, we have;

15% of seedlings Cliff planted = 84

Let X = the total number of seedlings

15/100 × X = 0.15×X = 84

X = 84/0.15 = 560

The total number of seedlings = The number of seedlings the three boys planted together = 560 seedlings.

Answer: 20 times 2 equal 40/ 40 divided by 2 is 20

Step-by-step explanation: Both of them should help you find the answer

The answer is

8f+5f

=13f

Answer:

x + 6 / 8

Step-by-step explanation:

The sum of a number is the answer to addition. So that means an unknown number and 6 are being added together. Lets make this unknown number x.

x + 6

The sum of this is being divided by 8. Since we already know what division is, we can just add the line and 8.

x + 6 / 8

Answer:

might be 50 b cause 50+55is 105 which is the are outside the triangle

Step-by-step explanation:

hi

Answer:

To solve this problem, you can write a simple equation:

55+x=105

This equation works, thanks to the exterior angle theorem.

Solving for x, we see that it is equal to 50 degrees.

Let me know if this helps

Answer:

Cada uno de ellos gana:

S/. 24

S/. 36

Step-by-step explanation:

Planteamiento:

a + b = 60

a = 12 + b

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

(12+b) + b = 60

2b + 12 = 60

2b = 60 - 12

2b = 48

b = 48/2

b = 24

de la segunda ecuación del planteamiento:

a = 12 + b

a = 12 + 24

a = 36

Check:

24 + 36 = 60

Answer:

27 inches

Step-by-step explanation:

We can use The Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21.6 ^2 + 16.2^2 = c^2

466.56+262.44 = c^2

729 = c^2

Taking the square root of each side

sqrt(729) = sqrt(c^2)

27  = c

Answer:

72 cubes

Step-by-step explanation:

Top view of the rectangular prism shows the unit cubes arranged in two rows along the length.

In each row number of unit cubes arranged = 9

Right view side of the prism shows the unit cubes arranged in two columns.

Number of unit cubes in each column = 4

Total number of cubes arranged in the prism = (Number of cubes in each row × Number of cubes arranged in two columns) × Number of columns

= (9 × 4) × 2

= 72

Therefore, number of cubes filled completely in the prism with no gaps = 72

Answer:

15 trucks

Step-by-step explanation:

If there are a total of 60 vehicles, and 1/4 of them are trucks, we can multiply 60 by 1/4 to get our answer. Or because 1/4 is split into fourths, we can divide 60 by 4 to also get our answer.

Hope this helps!

Answer:

Step-by-step explanation:

These are really difficult, but one thing I noticed pretty much across the board is that we state our trig ratios in terms of sin and cos using the Pythagorean identity:

[tex]sin^2x+cos^2x=1[/tex], even this one where tangents are involved. Let's begin:

If tan⁻1(x) = u (this is just a substitution to make things easier down the road), then tan(u) = x

If tan⁻1(y) = v, then tan(v) = y.

If that be the case, what we have as a rewrite from our original problem is

sin(u + v) which, according to the identity is:

[tex]sin(u-v)=sin(u)cos(v)-sin(v)cos(u)[/tex] which also tells us that we need those tangents in terms of sines and cosines, as stated earlier. We will take the Pythagorean identity and solve it for both sinx and cosx. Sinx first:

If [tex]cos^2x+sin^2x=1[/tex] then solving for sin:

[tex]\frac{cos^2x}{sin^2x}+\frac{sin^2x}{sin^2x}=\frac{1}{sin^2x}[/tex] (as you can see, I just divided everything by sin-squared):

[tex]cot^2x+1=\frac{1}{sin^2x}[/tex] and

[tex]\frac{1}{tan^2x}+1=\frac{1}{sin^2x}[/tex] and work on eliminating the denominators by multiplying through by sin-squared times tan-squared:

[tex]sin^2x*tan^2x(\frac{1}{tan^2x}+1=\frac{1}{sin^2x})[/tex] which simplifies to

[tex]sin^2x+sin^2x*tan^2x=tan^2x[/tex] and factor out on the left:

[tex]sin^2x(1+tan^2x)=tan^2x[/tex] and solve for sin-squared:

[tex]sin^2x=\frac{tan^2x}{1+tan^2x}[/tex] and take the square root of both sides:

[tex]sinx=\frac{tanx}{\sqrt{1+tan^2x} }[/tex] .  Do the same to solve for cos(x) to get:

[tex]cosx=\frac{1}{\sqrt{1+tan^2x} }[/tex] and now we're ready to fill in our formula for sin(u + v):

[tex]\frac{tanu}{\sqrt{1+tan^2u} }*\frac{1}{\sqrt{1+tan^2v} }[/tex]  -  [tex]\frac{tanv}{\sqrt{1+tan^2} }*\frac{1}{\sqrt{1+tan^2u} }[/tex]  and...

since tanu = x and tanv = y:

[tex]\frac{x}{\sqrt{1+x^2}}*\frac{1}{\sqrt{1+y^2}}-\frac{y}{\sqrt{1+y^2}}*\frac{1}{\sqrt{1+x^2} }[/tex] which, in the end, simplifies to

[tex]\frac{x-y}{\sqrt{1+x^2}*\sqrt{1+y^2} }[/tex] and you're done! Yikes to that!!!!

Answer:

a +d = a2

Step-by-step explanation:

-2 - (-9) =

-2+9=7

a + d = a2