Factorise using suitable identities (0.1x-0.2y)^2 plzzz help!!!!!

Answer:

The number of people in one session that will spend within two standard deviations below the mean and one standard deviations above the mean time on Facespace is 394 people

Step-by-step explanation:

The given information are;

The mean time spent of Facespace, μ = 30 minutes

The standard deviation of the time spent daily, σ = 6 minutes

The number of people in one sitting, n = 2900 people

The time spent two standard deviations below the mean = 30 - 12 = 18 minutes

The time spent one standard deviations above the mean = 30 + 6 = 36 minutes

The Z-score values are;

[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]

Which gives;

For x = 30

[tex]Z=\dfrac{36-30 }{6 } = 1[/tex]

For x = 18

[tex]Z=\dfrac{18-30 }{6 } = -2[/tex]

From the z-score table, we have;

P(Z > -2) = 1 - 0.02275 = 0.97725

P(Z < 1) = 0.84134

Therefore, the probability P(-2 < Z < 1) = 0.97725  - 0.84134 = 0.13591

Given that there are 2900 are on in one sitting, the number of them that will lie within two standard deviations below the mean and one standard deviations above the mean = 2900 × 0.13591 = 394.139 which is approximately 394 people.

Answer:

0.5% error

Step-by-step explanation:

We can use the percentage error formula, which is

[tex]\frac{|approx-exact|}{exact}\cdot100[/tex].

We know that the approximated value was 8.04, however it is actually 8cm, so we can substitute inside the equation.

[tex]\frac{|8.04 - 8|}{8}\cdot100 \\\\\frac{0.04}{8}\cdot100 \\\\0.005\cdot100 \\\\0.5[/tex]

Hope this helped!

Answer:

-17.3

Step-by-step explanation:

To solve for x, we can divide both sides by -3:

x = -52 / 3 which = -17.3

Answer:

Step-by-step explanation:

[tex] \sf{ - 3x = 52}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{52}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{x = - 17.33}[/tex]

Hope I helped!

Best regards!!

The correct answer is $15

Explanation:

The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.

1 cup of oil per batch x 5 batches = 5 cups of oil

This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.

12 cups of oil = $36   1. Write the values

5 cups of oil  = x      

12 x = 180           2.  Cross multiply this means 36x 5 and 12 multipy by x

x = 180 ÷ 12        3. Solve the equation

x=  15 - Cost for 5 cups used in the batches

Answer:

48°

Step-by-step explanation:

arc BC = 136(2) -145 = 127

arc DC = 83(2) - 127 = 39

arc AD = 360 - 145- 127 - 39 = 48

Answer:

49 degrees

Step-by-step explanation:

Measure of arc ABC = 116*2 = 232 degrees.

Measure of arc BC = 232-145 = 87 degrees.

Measure of arc BCD = 83*2 = 166 degrees.

Measure of arc DC = 166-87 = 79 degrees.

Measure of arc AD = 360 - (145+87+79) = 360 - 311 = 49 degrees

Answer:

18

Step-by-step explanation:

The formula for this is a x b = c x d where a is SR, b is FR, c is QR and d is PR. This will give us the equation 9(16) = 8(5x + 8); 144 = 40x + 64; 80 = 40x; x = 2. Now, plug this into PR which will be 5(2)+8 = 18. This is your answer.

Answer:

x = log 10/log 3

Step-by-step explanation:

3^x - 4 = 6

3^x = 10

We take log base 3 of both sides since log_3 3^x is simply x.

log_3 3^x = log_3 10

x = log_3 10

We have an answer for x, but it is a log base 3. We want log base 10.

Now we use the change of base formula.

log_b y = log y/log b

x = log 10/log 3

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

Answer:

h = 112.5 feets

Step-by-step explanation:

The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :

[tex]h=\dfrac{v_o^2}{16}\sin\theta\cos\theta[/tex]

We know that, [tex]2\sin\theta\cos\theta=\sin2\theta[/tex]

So,

[tex]h=\dfrac{v_o^2}{32}\sin2\theta[/tex]

Now we need to find the maximum horizontal distance possible and at what angle does this occur.

For maximum distance angle should be 45 degrees. Som,

[tex]h=\dfrac{60^2}{32}\sin2(45)\\\\h=112.5\ \text{feet}[/tex]

So, 112.5 feets is the maximum possible distance.

Answer:

The graph is attached below.

Step-by-step explanation:

The volume of the box containing the coffee mugs is,

[tex]V=x^{3}[/tex]

Then the function representing the side length, in inches, for the box is:

[tex]g(x)=x[/tex]

Now, it is provided that the company decides to double the volume of the box.

That is, the new volume will be:

[tex]V_{n}=2x^{3}[/tex]

Then the side length, in inches, for the box will be:

[tex]g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x[/tex]

Then the graph representing the function, formed using the following points is:

[tex]x\ \ \ \ \ \ \ \ \ g_{n}(x)\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\0\ \ \ \ \ \ \ \ \ \ \ 0\\1\ \ \ \ \ \ \ \ \ \ \ 2^{1/3}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

[tex]19.79 - 2.8 = 16.99gallons[/tex]

Answer:

8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer          

Answer:

216.

Step-by-step explanation:

These numbers are perfect cubes starting with 2^3.

2^3, 3^3,  4^3,  5^3 so the next one is 6^3, which is 216.

Answer:

C. 178−−−√ m

Step-by-step explanation:

Given the following :

v = final velocity (in m/s)

u = initial velocity (in m/s)

a = acceleration (in m/s²)

s = distance (in meters).

Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters

Using the 3rd equation of motion :

v^2 = u^2 + 2as

v^2 = 8^2 + 2(3)(19)

v^2 = 64 + 114

v^2 = 178

Take the square root of both sides :

√v^2 = √178

v = √178

Answer:

D. Tom is about to open a small bakery and is using the result of the sampling to decide what kind of cookies to offer.

Step-by-step explanation:

I believe that is correct....

Answer:

32

Step-by-step explanation:

Brainlist plz

Answer:

[tex]\Large \boxed{161\°}[/tex]

Step-by-step explanation:

Adjacent angles in a parallelogram add up to 180 degrees.

m∠Q and m∠S add up to 180 degrees.

m∠Q + m∠S = 180

m∠Q + 19 = 180

Subtract 19 from both sides.

m∠Q + 19 - 19 = 180 - 19

m∠Q = 161

Answer:

c. 4187 cubic units

Step-by-step explanation:

V = 4/3 π r³

= 4/3(3.14)(10)³

= 4186.6666666

D) in the question

1002, 3001

Answer:

a) 503 b) 307 c) 56789 D) 1002

Step-by-step explanation:

Numbering starts from the left hand side and are arranged in ascending order.

A) (530, 503)

503 < 530

503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.

B.) (370, 307)

370 > 307

307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.

C.) (98765, 56789)

98765 > 56789

56789 will appear on the leftside of 98765 when both number are illustrated on a number line.

D.) 1002 < 3001

1002 will appear on the leftside of 98765 when both number are illustrated on a number line.

Answer:

G. 7

Explanation:

The longest side must be less than the sum of the two shorter sides.

The difference between the longest and shortest sides must be less than the middle side.

l+a = 11

l < (a + 4) ... l < (11 - l + 4)

... 2 l < 15 ... l <  7.5

--Variables

l = 7 (Longest Side/Answer)

a = 4 (Other Missing Length)

m = 4 (Side Given)

Your answer is x + 12

Hope this helped!

Answer:

x+12

Step-by-step explanation:

Correct on test

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}[/tex]

Thank you.

Step-by-step explanation:

1. c

2. a

3. c

4. c

5. d

6. b

7. a

8. b

9. c

Answer:

Hey there!

First, let's identify the point. We always go x axis first, then y axis, so the point is at (3, 8).

From the graph, we see that it means the tree is 8 feet tall and three years old.

Let me know if this helps :)

Answer:

A. EF

Step-by-step explanation:

Answer:

EF

Step-by-step explanation:

The reason is because EF and BC are in the same plane

Answer:

B. The line of best fits shows a negative correlation between the number of months and the number of minutes

Step-by-step explanation:

In a scatter plot, when the data points are clustered along the line of best fit, it shows a trend, and it implies there's a correlation between the x-variable and the y-varisble.

Also, when the line of best fit slopes upward, from your left to your far right, it shows a positive correlation between the variables on the x-axis and y-axis.

On the other hand, if the line of best fit slopes downwards, from your left down to your right, this shows a negative correlation.

Thus, considering the line of best fit in the question, the line of best fit shows a negative correlation between the number of months and the number of minutes. The line of best fit slopes downwards, from your left to your right.

This shows that, as month number increases, number of minutes decreases.

Answer:

The area of the shaded part is 36.53 cm²

Step-by-step explanation:

The dimension of the side of the square ABCD = 8 cm

The shaded part is seen to be the area of intersection of two quarter circles

The dimension of the radius of the quarter circles = The side length of the square

Therefore;

The dimension of the radius of the quarter circles = 8 cm

The figure can be taken as being formed by the two quarter circles with a square removed

The shaded area is the

Therefore, the area of the shaded part Sₐ, is given by the relation;

Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square

Given that the dimensions (radius) of the two quarter circles are the same, we have;

Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²

Area of the square = (Side length of the square)² = 8² = 64 cm²

Sₐ =  (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²

The area of the shaded part = 36.53 cm².

Answer:

400(π+2) feet square

Step-by-step explanation:

let x be the diagonal of the cage=40√2 at the same time it is the radius of the circle ( the tiger can go in circle)

but since the cage is part of the circle and not full turn πr²/8

area of the circleπr²+ half area square

(π(40√2)²)/8 +40²/2

3200π/8+1600/2

400π+800

400(π+2) feet square

Answer:

11, 16

Step-by-step explanation:

the difference between -4 and -9, 1 and -4, 6 and 1 is 5...so add 5 to 6 = 11

then 11 + 5 = 16

Answer:

11,16

Step-by-step explanation:

We are adding 5 each time

-9+5 = -4

-4+5 =1

To find the next two terms

6+5 =11

11+5 = 16