A student is filling out a college application that requires she supply either her math SAT score or her math ACT score. She scored 610 on the math SAT and 27 on the math ACT. Which should she report given that the mean SAT math score was 515 with a standard deviation of 114, and the mean ACT math score was 21.0 with a standard deviation of 5.1

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

[tex]\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324[/tex]

Answer:

a.

[tex] \frac{3a}{7 {b}^{2} } [/tex]

b.

[tex] \frac{2}{x} [/tex]

Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -

An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -

[tex]\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3[/tex]

And thus, you're solution is 5 cm^3, or in other words option b!

Answer:

The answer is B

Step-by-step explanation:

Answer:

$42.10

Step-by-step explanation:

Assuming that she did not yet buy a costume for herself, 800 dollars divided among 18 people plus herself is equal to $42.10 maximum per person.

Answer:

44.44

Step-by-step explanation:

800 didvided by 18.

Answer:

B. 5 + 2(3 + 2x) = x + 3(x + 1)

Step-by-step explanation:

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

4x - 4x = 3 - 11

0 = - 8

There are no solutions.

Answer:

A

4(x+3)+2x=6(x+2)

4x+12+2x=6x+12

6x+12=6x+12

6x-6x=12-12

0=0

Answer:

Solutions to the equation are [tex]=\frac{-5+/-\sqrt{17} }{2}[/tex]

which agrees with the last option listed among the possible answers

Step-by-step explanation:

We solve this quadratic equation via the quadratic formula:

[tex]x^2+5x=-2\\x^2+5x+2=0\\ \\x=\frac{-5+/-\sqrt{25-4(1)(2)} }{2\,(1)} \\x=\frac{-5+/-\sqrt{17} }{2}[/tex]

Answer:

Depth = 3.3 inches

Step-by-step explanation:

 Given that the shape of the satellite looks like a parabola

The equation of parabola is given as follows

[tex]x^2=4\times a\times y[/tex]

Where

a= 13

Therefore

[tex]x^2=4\times 13\times y[/tex]

[tex]x^2=52\times y[/tex]

Lets take (13 , y) is a

Now by putting the values in the above equation we get

[tex]13^2=52\times y[/tex]

[tex]y=\dfrac{13^2}{52}=3.25[/tex]

y=3.25 in

Therefore the depth of the satellite at the nearest integer will be 3.3 inches.

Depth = 3.3 inches

Answer:

16 shirts = GH¢256

Step-by-step explanation:

If 5 shirts cost GH¢80​

Let's determine the price of 16 shirts by cross multiplying the values

This method of evaluating answers is one of the essential methods .

It's just Making sure that the values within each side of the wall to symbol crosses each other.

But one shirt = GH¢80​/5

one shirt = GH¢16

So

5 shirts= GH¢80​

16 shirts = (16 shirts * GH¢80​)/5 shirts

16 shirts = GH¢1280/5

16 shirts = GGH256

Answer: 6

Step-by-step explanation:

A=bh plus 120 for A and 20 for B

120=20b

/20 divide by 20 each side

H=6

=======================================================

Explanation:

Let's go through each answer choice and solve for x

----------------------------------------------------------------------

Choice A

|x+3| < -5

This has no solutions because |x+3| is never negative. It is either 0 or positive. Therefore, it can never be smaller than -5. So we can rule this out right away.

----------------------------------------------------------------------

Choice B

|x+8| < 2

-2 < x+8 < 2 .... see note below

-2-8 < x+8-8 < 2-8 ... subtract 8 from all sides

-10 < x < -6

We will have a graph where the open circles are at -10 and -6, with shading in between. This does not fit the original description. So we can rule this out too.

----------------------------------------------------------------------

Choice C

|x+3| < 5

-5 < x+3 < 5 .... see note below

-5-3 < x+3-3 < 5-3 .... subtracting 3 from all sides to isolate x

-8 < x < 2

We found our match. This graph has open circles at -8 and 2, with shading in between. The open circles indicate to the reader "do not include this value as a solution".

----------------------------------------------------------------------

note: For choices B and C I used the rule that [tex]|x| < k[/tex] turns into [tex]-k < x < k[/tex] where k is some positive number. For choice A, we have k = -5 which is negative so this formula would not apply.

Answer:

The answer is option D.

3u + 1 + 7y

All the terms here are different and cannot be combined

Hope this helps you

Hello! :)

____________ ☆ ☆____________________

Answer:

(7a+4)⋅(a+7)

Step-by-step explanation:

First you have to multiply... 7x28=196

Now find the factors of 196

Factor: 53

Add the first two terms

Add up the four terms and you get your answer

ANSWER: (7a + 4) • (a + 7)

_____________ ☆ ☆___________________

Hope this helps! :)

By BrainlyMember ^-^

Good luck!

If the equation is

[tex]7\sin^2x-14\sin x+2=-5[/tex]

then rewrite the equation as

[tex]7\sin^2x-14\sin x+7=0[/tex]

Divide boths sides by 7:

[tex]\sin^2x-2\sin x+1=0[/tex]

Since [tex]x^2-2x+1=(x-1)^2[/tex], we can factorize this as

[tex](\sin x-1)^2=0[/tex]

Now solve for x :

[tex]\sin x-1=0[/tex]

[tex]\sin x=1[/tex]

[tex]\implies\boxed{x=\dfrac\pi2+2n\pi}[/tex]

where n is any integer.

If you meant sin(2x) instead, I'm not sure there's a simple way to get a solution...

Answer:

The right answer is the first one, 6,245.

Step-by-step explanation:

[tex]EG^2=DG*GF \\ EG^2 = ab\\ EG^2 = 3*13\\ EG^2=39\\ EG=\sqrt{39}[/tex]

[tex]\sqrt{39} = 6,2449... = 6,245[/tex]

Answer:

C.

volume of cone 2

volume of prism 3

OD.

Step-by-step explanation:

Answer:

I just took the test and the correct option is B.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

7x² - 4x - 8 - [ -3x² - 3x - 3]

In subtraction, flip the sign of all terms in the minuend

   7x² - 4x - 8

  3x² + 3x + 3

   4x² - x - 5

Answer:

v = -3

Step-by-step explanation:

-8(v + 7) = 3v - 23

Expand.

-8v - 56 = 3v - 23

Add -3v and 56 on both sides.

-8v - 56 + 56 - 3v = 3v - 23 + 56 - 3v

-8v - 3v = -23 + 56

Combine like terms.

-11v = 33

Divide -11 into both sides.

-11v/-11 = 33/-11

v = -3

Answer:

v=-3

Step-by-step explanation:

-8v-56=3v-23 (brackets expanded)

-56+23=3v+8v (like termz together)

-33=11v (simplified according to maths operation )

-3=v

Answer:

$128.37

Step-by-step explanation:

Find 33% of 389:

389(0.33) = 128.37

The amount of the discount is $128.37

━━━━━━━☆☆━━━━━━━

▹ Answer

0.5 = 1/2 and the rectangle with 3 cubes shaded in

0.6 = 60/100 and circle with three parts shaded in

0.8 = Rectangle with 8 cubes shaded and 4/5

▹ Step-by-Step Explanation

You can convert the fractions into decimals, and count the shaded parts for the shaded images.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

The equation that represents the line that passes through the points A and C is y = x + 1

A linear equation is an equation that has a constant rate or slope, and is represented by a straight line

The points are given as:

(x,y) = (2,3) and (-4,-3)

Calculate the slope, m using:

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

So, we have:

[tex]m = \frac{-3 -3}{-4 - 2}[/tex]

Evaluate

m = 1

The equation is then calculated as:

y = m *(x - x1) + y1

So, we have:

y = 1 * (x - 2) + 3

Evaluate

y = x - 2 + 3

This gives

y = x + 1

Hence, the equation that represents the line that passes through the points A and C is y = x + 1

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ2

Answer:

y = x + 1

Step-by-step explanation:

Edge2020

Answer:

20π in³ or 62.832 in³

Step-by-step explanation:

The surface area for each cake is given by:

[tex]S=\pi r^2+2\pi rh[/tex]

Where 'r' is the radius of each cake (4 inches), and 'h' is the height of each cake (3 inches). Since there are two cakes, the total surface area is:

[tex]A=2*(\pi r^2+2\pi rh)\\A=2*(\pi 4^2+2\pi*4*3)\\A=80\pi\ in^2[/tex]

If Jayvon wants a consistent quarter-inch deep layer of frosting covering the surface of the cakes, the volume of frosting required is:

[tex]V=80\pi *0.25\\V=20\pi\ in^3 = 62.832\ in^3[/tex]

He needs 20π in³ or 62.832 in³ of frosting.

Answer:

a = 16.733

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 9^2 = 19^2

a^2 = 19^2 - 9^2

a^2 = 361-81

a^2 =280

Taking the square root of each side

sqrt(a^2) = sqrt(280)

a = 16.73320053

Rounding to the nearest thousandth

a = 16.733

Answer:

7.8 DAYS

Step-by-step explanation:

The time taken for the substance to reach 12g is 7.8 days

The half-life of a substance is the time taken for it to reach half it's initial value.

I will list some formula and concepts which are of importance to this topic but not necessarily this question.

In solving this problem, we may need the formula to calculate half life of a substance which is given as.

[tex]T_\frac{1}{2}= In2/[/tex]λ

where λ = Disintegration constant.

But to find this constant, we need to use another formula

[tex]N=N_oe^-yt\\\frac{N}{N_o}= e^-yt\\[/tex]

where the values are

However,

[tex]n=\frac{Log_e\frac{No}{N} }{Log_e2}[/tex]

Everything remains the same as above but only a slight change now

Substituting the values,

[tex]n = \frac{Log_e(\frac{30}{12}) }{log_e2}\\n = 1.32[/tex]

Since n stands for the half life passed within time (t)

The time taken would be

[tex]t = 1.32 * 5.9\\t =7.8[/tex]

The time taken for the substance to reach 12g is 7.8 days.

Learn more about half-life here;

https://brainly.com/question/2320811

Answer:

3,717,000

Step-by-step explanation:

The calculation of paperback copies is shown below:-

Let us assume hardback copies is x, so paperback copies will be 9x

now the equation is

35,000 + x + 9x = 448,000

10x = 448,000 - 35,000

10x = 413,000

[tex]= \frac{413,000}{10}[/tex]

= 41,300

Therefore, the paperback copies are

=  [tex]9\times 41,300[/tex]

= 3,717,000

Hence, the paperback copies is 3,717,000

Answer:

resultant = 0.356N 202.1°

Step-by-step explanation:

Resultant force = √((x component)² + (y component)²)

X component= 1 cos 90 + 2 cos 30 + 3 cos 30 -4 cos 0

X component = 0 + 1.732 + 2.598 - 4

X component = 0.33

Y component = 1 sin 90 + 2 sin 60 -3sin 60 + 3 sin 0

Y component= 1+1.732-2.598

Y component= 0.134

Resultant = √( (0.33)² +(0.134)²)

Resultant= √(0.1089+0.017956)

Resultant= √ 0.126856

Resultant= 0.3562 N

Tan tita = 0.134/0.33

Tan tita = 0.406

Tita = 22.1°

Tab is positive In the third quadrant and first quadrant but the magnitude of the force lies mainly on the third so resultant = 0.356N 202.1°

For the fifth force.

X component =- 0.356 cos 67.9 +x

X component= -0.134 +x

Y component = 0.356sin22.1 +0

Y component= 0.1334

Tan tita = 0.1334/(-0.134+x)

Tita = tan^-1 0.1334/(-0.134+x)

90 = 0.1334/(-0.134+x)

Tan 90 is undefined so no more solution

Answer:

hope u get it.......!!

The question is incomplete. The complete question is:

Find an equation of the tangent line to the curve y = [tex]\sqrt{x}[/tex] at the given point (16,4). To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (16,4) we know that (16,4) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x = a can be found using the formula m tan = lim x↔a f(x) - f(a)/ x - a.

Answer: y = [tex]\frac{x}{8} + 2[/tex]

Step-by-step explanation: The tangent line is a line that intercepts a curve in only one point. The point-slope formula for a line is [tex]y-y_{0} = m(x-x_{0})[/tex], where m is the slope of the line and can be calculated by the first derivative of the given curve. For this case:

y = [tex]\sqrt{x}[/tex]

f'(x) = [tex]\frac{dy}{dx} = \sqrt{x}[/tex]

f'(x) = [tex]\frac{1}{2\sqrt{x} }[/tex]

At point (16,4), the slope will be:

m = f'(16) = [tex]\frac{1}{2.\sqrt{16} }[/tex]

m = [tex]\frac{1}{8}[/tex]

With slope and a point, the line function will be:

[tex]y-y_{0} = m(x-x_{0})[/tex]

y - 4 = [tex]\frac{1}{8}[/tex](x - 16)

y = [tex]\frac{x}{8}[/tex] - 2 + 4

y = [tex]\frac{x}{8}[/tex] + 2

The tangent line to the curve is y = x/8 + 2