a)Work out an estimate for the mean time it took the students.Round your answer to 2 significant figures.
b)What fraction of the students finished in less than 20 minutes?

Answer:

[tex]proj_uw=6.2i-4.2j[/tex]

Step-by-step explanation:

The projection of a vector [tex]v[/tex] onto a vector [tex]u[/tex] is defined as the projection of the vector [tex]v[/tex] on the line that contains the vector [tex]u[/tex]. It can be calculated  using the following formula:

[tex]proj_uv=\frac{u\cdot v}{||u||^2} u[/tex]

Where:

[tex]u\cdot v[/tex]

Is the dot product between [tex]u[/tex] and [tex]v[/tex] which is given by:

[tex]u\cdot v= $$\sum_{i=1}^{n} u_iv_i= u_1v_1+u_2v_2+...+u_nv_n$$[/tex]

and:

[tex]||u||[/tex]

Is the magnitude of vector which can be calculated as follows:

[tex]||u||=\sqrt{u_1^2+u_2^2+...+u_n^2}[/tex]

In this sense, the projection of vector w onto vector u is:

[tex]proj_uw=\frac{u\cdot w}{||u||^2} u[/tex]

Where the dot product between [tex]u[/tex] and [tex]w[/tex] is:

[tex]u\cdot w =(9*19)+(-6*15)=171-90=81[/tex]

And the magnitude of [tex]u[/tex] is:

[tex]||u||=\sqrt{9^2+(-6)^2} = 3 \sqrt{13}[/tex]

Thus:

[tex]proj_uw=\frac{u\cdot w}{||u||^2} u=\frac{81}{117} \langle9,-6\rangle=\langle6.23,-4.15\rangle\approx6.2i-4.2j[/tex]

Answer:

A on edge

Step-by-step explanation:

Got it right on quiz (:

Answer:

depends on what car you are driving and its gas mileage

Answer:

add 17 to both sides

Step-by-step explanation:

as it cancels itself

mark brainliest

Answer:

Add 17 to both sides

Step-by-step explanation:

i did the quiz

Answer:

Light refracts whenever it travels at an angle into a substance with a different refractive index (optical density). This change of direction is caused by a change in speed. For example, when light travels from air into water, it slows down, causing it to continue to travel at a different angle or direction. Which would make him see the fish in a spot that its not at. So 2 is the correct answer.

Answer:

I don't think it can, because the two smaller sides cannot have a sum of less than the third side. 6+6=12, and 12 is less than 15, so it cannot be possible. You can even test this out on a piece of paper and you will see that it is not possible.

Answer:yes

Step-by-step explanation:

because 6,6 can be /\ and 15 is __ so it would be /_\....it would be a triangle

Step-by-step explanation:

there is the graph

Look at the attached picture

Hope it will help you....

-pragya~~

I don't know if this is going to be helpful but I think it is 94 ft squared

Answer:

The area and circumference is/are both 4π

Step-by-step explanation:

Formula for the circumference: 2πr

Formula for the area: πr²

2×π×2=4π

The circumference is 4π

π×2²= 4π

The area is 4π

Answer:

12.5%

Step-by-step explanation:

its 1/4 the area of the bigger square, so half of the 1/4 is 1/8

Answer: 3

Step-by-step explanation:

Answer:

3 and 3/1! Why both you ask? Because they mean the same thing.

Step-by-step explanation:

9 is your y-intercept, and 9/1 is totally off.

Answer:

D. 27/16

Step-by-step explanation:

Volume of a cyclinder=πr^2h

Volume of cylinder A=πr^2h

r=3

h=3

π=3.14

=3.14×3^2×3

=3.14×9×3

=84.78

Volume of cylinder B

r=2

h=4

Volume of cylinder B=πr^2h

=3.14×2^2×4

=3.14×4×4

=50.24

Ratio of A to B

=84.78/50.24

Change to fraction

=84.78×100/50.24×100

=8478/5024

=27/16

Answer:

30

Step-by-step explanation:

divide 10.5by 35/100

Answer:

+3

Step-by-step explanation:

Where the graph crosses the x axis is where the real zeros exist. The parabola's minimum is at point (-3,-3) by adding a +3 to the right side of the equation will raise the minimum to point (-3,0) therefore giving it only one point where it touches the x axis. Then the parabola will only have one zero, the minimum of the parabola.

Answer:

Answer is C

Step-by-step explanation:

The result of product [tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex].

The product is represented as:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex]

Multiply the roots

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= \sqrt[3]{24\times 45}[/tex]

Rewrite the above expression as:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (24\times 45)^{1/3}[/tex]

Expand 24

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (3 \times 8 \times 45)^{1/3}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (3 \times 2^3 \times 45)^{1/3}[/tex]

So, we have:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 45)^{1/3}[/tex]

Express 45 as 9 * 5

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 9 \times 5)^{1/3}[/tex]

Express 9 as 3^2

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 3^2 \times 5)^{1/3}[/tex]

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3^3 \times 5)^{1/3}[/tex]

So, we have:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2\times 3(5)^{1/3}[/tex]

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 6(5)^{1/3}[/tex]

Rewrite as:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 6\sqrt[3]{5}[/tex]

Hence, the result of product [tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex]

Read more about products at:

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Answer:

writing. a good pen of the type and point size that's most comfortable for you. Generally I find that fine-point pens are the best for taking notes. You can write smaller and get more on a page. If your handwriting tends to be small, you'll probably prefer a fine point.

Answer:

106 degrees

Step-by-step explanation:

Since all the angles add up to 360 degrees we can find the value of x first and then substitute that value into angle VUX (12x+10)

11x + 1 + 12x + 10 + 75 + 90 = 360

23x + 176 = 360

23x = 184

x = 8

when x = 8,

<VUX = 12x + 10 = 12(8) + 10 = 106 degrees

Answer:

∠VUX = 106º

Step-by-step explanation:

Once the Quadrilateral add up to 360,

[tex]360\º=90\º+11x+1+75\º+12x+10\\360\º=176\º+23x\\8\º=x[/tex]

The measure of ∠VUX is [tex]12x+10[/tex]

Once [tex]x=8\º[/tex]

[tex]12(8)+10\\106[/tex]

Answer:

1a. 119

1c. 598

2a. 36

2c. 825

Step-by-step explanation:

1a. So to discount 15% you take 85% of 140. That is 119

1c. Take 92% of 650. That is 598

2a. So to markup 20% you take 120% of 30. That is 36

2c. Take 110% of 750. That is 825

Answer:

its c on edg 2020

Step-by-step explanation:

Answer: $22.12

Step-by-step explanation:

I just did the compound interest formula which is

starting amount * (1. interst rate) ^ number of years

example if you have 100$ and you want to know how much it is worth if it appretiates by 7% of a period of 20 years it would look something like this;

100 * (1.10) ^20 = 672.74$

but since you have to figure out what it was in 2008 which was exactly half way in the period you divide the exponent by half so your formula should be;

I know the answer is right because I asked my teacher and it's correct.

REAL EXAMPLE: 18 * (1.51) ^.5 = 22.12$

The amount should be $22.12.

[tex]= 18 \times (1.51) ^{.5}[/tex]

= $22.12

learn more about the percentage here: https://brainly.com/question/21678821

Answer:

519

Step-by-step explanation:

Let's assume that the scores for the national verbal proficiency test follow a normal distribution.

Mean score (μ) = 500

Standard deviation (σ) = 75

According to a Z-score table, the score for the 60th percentile is roughly z = 0.253

For any score "x", the z-score is given by:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

For z = 2.53:

[tex]0.253=\frac{X-500}{75}\\X=519[/tex]

The raw score to the 60th percentile is 519.

Answer:

19.5

6.5% of 300

Answer:

-2x-44

Step-by-step explanation:

-6x-42=-4x-2

Answer:

one

Step-by-step explanation:

-6x -6×7 = -4x-2 :

-6x -42 = -4x -2 : (+4x)

-2x -42 = -2 : (+42)

-2x = 40 (/-2)

x = -20

Answer:

x:o

Step-by-step explanation:

Answer:

X : O

Step-by-step explanation:

That's a ratio.

Answer:

( x - 8 )^2 + ( y + 16 )^2 = 4; Option C

Step-by-step explanation:

~ We know that the standard circle equation ( x - a )^2 + ( y - b )^2 provided r ⇒ radius of the circle, centered at ( a, b ) ~

1. With that being being said, we are given the center with coordinates (8, -16), that can be plugged into this circle equation as a and b, while x and y are kept such: ( x - 8 )^2 + ( y - ( - 16 ) )^2 ⇒ simplified to be ⇒

( x - 8 )^2 + ( y + 16 )^2

2. Given the radius 2, it is convenient for us that we can simply substitute this value of r into the circle equation: ( x - 8 )^2 + ( y + 16 )^2 = 2^2

3. Now let us square the radius 2, as to simplify to ⇒

Answer: ( x - 8 )^2 + ( y + 16 )^2 = 4

Answer:

A)

7.2 7 * ⇒ correct

8.5 8 9 ⇒ 9 is the correct answer

12.9 13 * ⇒ correct

3.4 3 * ⇒ correct

11.5 11 12 ⇒ 12 is the correct answer

9.5 9 10 ⇒ 10 is the correct answer

B)

When a decimal number is 5 or more, you must round up, e.g. 4.5 must be rounded up to 5. You round down when the number is 4 or less.

Answer:

a = 4.50

b = 13.50

Step-by-step explanation:

i did the quiz

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The area if base x height

8 x height = 96

Divide both sides by 8 to find the base size:

96 / 8 = base

base = 12

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Answer:

strong

modern

weak

strong

Step-by-step explanation: