Two pence coins are used to make a square. If one millioncoins were used, what would be the length of the sides of the square?
How many square metres would these one million coins cover?
(The diameter of a 2p coin is 25mm to the nearest millimetre.

​

Answer:

the answer is -203 i got 100%

Step-by-step explanation:

Answer:

the expression of the information in terms of function f is:

13 = f(40)

The town of Tola has a population of 5000 persons and produces 2 tons of garbage each week.

Step-by-step explanation:

suppose G and p are the  two unknowns variables.

where;

G is measured in tons per week and:

p is measured in thousands of people.

∴

The relation between the amount of garbage produced by a city with population p can be expressed as:

G = f(p)

However;

The town of Tola has a population of 40,000 and produces 13 tons of garbage each week.

The objective is to express the information in terms of the function f.

So, if there is a population of 40,000 person in the town,

since p is measured in person per thousand and the value of garbage produced is 13 tons per week.

∴ the expression of the information in terms of function f is:

13 = f(40)

Explain the meaning of the statement f(5) = 2.

The given statement implies that

P which is measured in thousand people = 5

and the value of the garbage produced is 2.

SO , we can say that;

The town of Tola has a population of 5000 persons and produces 2 tons of garbage each week.

Answer:

We conclude that there is no difference between the two classes.

Step-by-step explanation:

We are given that two statistics teachers both believe that each has a smarter class.

A summary of the class sizes, class means, and standard deviations is given below:n1 = 47, x-bar1 = 84.4, s1 = 18n2 = 50, x-bar2 = 82.9, s2 = 17

Let [tex]\mu_1[/tex] = mean age of student cars.

 [tex]\mu_2[/tex] = mean age of faculty cars.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex]      {means that there is no difference in the two classes}  

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex]      {means that there is a difference in the two classes}

The test statistics that will be used here is Two-sample t-test statistics because we don't know about the population standard deviations;

                         T.S.  =  [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }[/tex]   ~  [tex]t_n_1_+_n_2_-_2[/tex]

where, [tex]\bar X_1[/tex] = sample mean age of student cars = 8 years

[tex]\bar X_2[/tex]  = sample mean age of faculty cars = 5.3 years  

[tex]s_1[/tex] = sample standard deviation of student cars = 3.6 years  

[tex]s_2[/tex] = sample standard deviation of student cars = 3.7 years  

[tex]n_1[/tex] = sample of student cars = 110  

[tex]n_2[/tex] = sample of faculty cars = 75  

Also, [tex]s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }[/tex]  = [tex]\sqrt{\frac{(47-1)\times 18^{2}+(50-1)\times 17^{2} }{47+50-2} }[/tex]  = 17.491

So, the test statistics =  [tex]\frac{(84.4-82.9)-(0)}{17.491 \times \sqrt{\frac{1}{47}+\frac{1}{50} } }[/tex]  ~  [tex]t_9_5[/tex]

                                     =  0.422    

The value of t-test statistics is 0.422.

Now, the P-value of the test statistics is given by;

P-value = P([tex]t_9_5[/tex] > 0.422) = From the t table it is clear that the P-value will lie somewhere between 40% and 30%.

Since the P-value of our test statistics is way more than the level of significance of 0.04, so we have insufficient evidence to reject our null hypothesis as our test statistics will not fall in the rejection region.

Therefore, we conclude that there is no difference between the two classes.

Answer:

c

Step-by-step explanation:

We need to divide [tex]9x^2-6x+2[/tex] by 3x -1

we know that 2 = 1+1 so

[tex](9x^2-6x+1)+1[/tex]

if you notice the thing that it's inside the parenthesis it's a perfect square

[tex]((3x)^2-2(3x)+1)+1\\=(3x-1)^2+1\\[/tex]

if we divide this by 3x -1 we get

[tex]\frac{(3x-1)^2+1}{3x-1} \\\\=\frac{(3x-1)^2}{3x-1}+\frac{1}{3x-1} \\\\=3x-1 + \frac{1}{3x-1}[/tex]

so answe is c

Answer:

S = y / (V - k⁴) where V ≠ k⁴

Step-by-step explanation:

y = SV - Sk⁴

y = S(V - k⁴)

S = y / (V - k⁴) where V ≠ k⁴

Answer:

Remove 9 from triangle B to A

Step-by-step explanation:

Given

Three Triangles

A: 1,2,3

B: 7,8,9

C: 4,5,6

Required

Make their sum equal

First, we need to calculate the sum in each triangles;

[tex]A = 1 + 2 + 3[/tex]

[tex]A = 6[/tex]

[tex]B = 7 + 8 + 9[/tex]

[tex]B = 24[/tex]

[tex]C = 4 + 5 + 6[/tex]

[tex]C = 15[/tex]

Remove 9 from triangle B to A

[tex]A = 6 + 9[/tex]

[tex]A = 15[/tex]

[tex]B = 24 - 9[/tex]

[tex]B = 15[/tex]

At this point, we have:

[tex]A = 15[/tex]     [tex]B = 15[/tex]     [tex]C = 15[/tex]

Hence, the solution is to remove 9 from B to A

Answer:

0

Step-by-step explanation:

∫∫8xydA

converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.

So,

∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ

So we integrate r from 0 to 9 and θ from 0 to 2π.

∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ

= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ

= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ

= 8[6561/4]∫(cosθsinθ)dθ

= 13122∫(cosθsinθ)dθ

Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2

Substituting this we have

13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ

= 13122/2[-cos2θ]/2 from 0 to 2π

13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]

= -13122/4[cos4π - cos(0)]

= -13122/4[1 - 1]

= -13122/4 × 0

= 0

Answer:

4times tall

Step-by-step explanation:

Volume of the boxes = Base area × height

Volume of the first box V1 = A1h1

Given the base of the first box to be 5cm, the base area:

A1 = 5cm×5cm = 25cm²

Volume of the first box V1 = 25h1... 1

Similarly, volume of the second box

V2 = A2h2

Given the base of the second box to be 10cm, the base area:

A2= 10cm×10cm = 100cm²

Volume of the second box

V2 = 100h2... 2

If the two boxes have the same volume, then V1 = V2

25h1 = 100h2

divide both sides by 25

25h1/25 = 100h2/25

h1 = 4h2

Since the height of the smaller box is represented as h1, then the height of the smaller base is 4 times tall.

Answer:

4times tall

Step-by-step explanation:

Volume of the boxes = Base area × height

Volume of the first box V1 = A1h1

Given the base of the first box to be 5cm, the base area:

A1 = 5cm×5cm = 25cm²

Volume of the first box V1 = 25h1... 1

Similarly, volume of the second box

V2 = A2h2

Given the base of the second box to be 10cm, the base area:

A2= 10cm×10cm = 100cm²

Volume of the second box

V2 = 100h2... 2

If the two boxes have the same volume, then V1 = V2

25h1 = 100h2

divide both sides by 25

25h1/25 = 100h2/25

h1 = 4h2

Since the height of the smaller box is represented as h1, then the height of the smaller base is 4 times tall.

Answer:

18

Step-by-step explanation:

25=7+r     25-7=18     7-7=0

r=18 Do you understand? I really hoped I helped. I was in your position when i was learning that.

Solve using PEMDAS for the numerator and denominator.

24-11^4/24+11^4

24-14641/24+14641

-14617/14665

Best of Luck!

Answer:

Hey there!

Basically, you are either going to North Dakota, New Hampshire, New Jersey, New York, New Mexico or North Carolina, as those are the only two word states beginning with N.

Thus, the chance of picking one of those is 6/50, or 3/25.

You have to choose one state, so this is Mutually Exclusive.

Let me know if this helps :)

Answer:

45 / 15 = 3

Step-by-step explanation:

Required

Steps to divide 45 by 15 using integer tiles

Step 1: We start by writing out 45 items;

See attachment 1 where I used 45 boxes as illustration

Step 2: Then, we group these 45 items into groups (15 per groups)

See attachment 2 for illustration

Step 3: Count the number of groups

There are 3 groups;

Hence, 45 / 15 = 3

Answer:

The answer is B

Step-by-step explanation:

bc its 45/15 :)

Answer:

0.0075

Step-by-step explanation:

According to the given situation, the calculation of the probability that the TPMS will trigger a warning is shown below:-

The tire pressure which is 26% below the target pressure is

[tex]= 26\% \times 28[/tex]

= 7.28

Therefore, Tire pressure monitoring systems warn at below is

= 28 - 7.28

= 20.72

Now we will assume tire pressure be x

So,

[tex]P(X<20.72) = P(\frac{X-\mu}{\sigma}<\frac{20.72-28}{3} )[/tex]

After solving the above equation we will get

= [tex]P(X<20.72) = P(Z<-2.43)[/tex]

we will get

= 0.0075

Answer:

T = BP

Step-by-step explanation:

Boxes = B

Pack of paper in each box = P

Total number of packs = T

Is the equation for total number of packs of paper

Answer: Experimental probability

Step-by-step explanation:

There are two kinds of probability: Theoretical probability and Experimental probability.

To calculate theoretical probability we divide favorable outcomes by total outcomes.

To calculate experimental probability we divide number of times an event occurs by the total number of trials or times the activity is performed.

Here, A child gets 20 heads out of 30 tosses of a coin. If he declared the chance of getting a head with that coin were 2/3, which is dependent on the activity he performed, thus it is an experimental probability.

Answer:

x=4

Step-by-step explanation:

19=7X+3-3x

Combine like terms

19 = 4x +3

Subtract 3 from each side

19-3 = 4x+3-3

16 = 4x

Divide each side by 4

16/4 = 4x/4

4 =x

Answer:

T = 5c +5d,    where unit of the equation is $.

Step-by-step explanation:

Cost of 1 large cheese  pizza = $5

No. of large cheese pizza = c

therefore

cost of c  large cheese pizza = c*Cost of 1 large cheese  pizza = $5c

Cost of 1 large one topping  pizza = $6

No. of large one topping pizza = d

therefore

cost of d  large one topping pizza = d*Cost of 1 large one topping  pizza =             cost of d  large one topping pizza = $6d  

Total cost of  c  large cheese pizza and cost of d  large one topping pizza

= $5c +$6d

total cost is represented by T

thus, T = $5c +$5d  Answer

Answer:

D. (2, -4),(3, -1), (4, -4)

Step-by-step explanation:

Hello!

When you reflect over the y-axis you reverse the x.

Negatives become positives and positives become negatives

(-2, -4) turns into (2, -4)

(-3, -1) turns into (3, -1)

(-4, -4) turns into (4, -4)

look for the answer that has (2, -4),(3, -1), and (4, -4)

The answer is D

Hope this helps!

Answer:

the answer is D

Step-by-step explanation:

because i said so

Answer: Choice A

Note: the range should be [tex][-5, \infty)[/tex]. See explanation below.

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

We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say [tex](-\infty, \infty)[/tex] which is interval notation. It represents the interval from negative infinity to positive infinity.

The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that [tex]y \ge -5[/tex] and that translates to the interval notation [tex][-5, \infty)[/tex].

The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote [tex](-5, \infty)[/tex] for choice A, when they should have written [tex][-5, \infty)[/tex]

I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.

Option A is the correct choice .

Domain will be → all real numbers .

Range will be → y belongs to R : y greater than or equal to -5 .

→ (x+3)^2 It means 0 to infinity

So (x+3)^2-5= (-5, infinity)

→ Range = (-5, infinity )

Answer:

im Pretty sure x

Step-by-step explanation: Distribute:

=4x2+−12x+9+−9x2+12x+−4

Combine Like Terms:

=4x2+−12x+9+−9x2+12x+−4

=(4x2+−9x2)+(−12x+12x)+(9+−4)

=−5x2+5

Answer:  −5x2+5

Answer:

m = 1/2 and b = 1.

Step-by-step explanation:

The y intercept (b)  is at y = 1 so we have

y = mx + 1  so b = 1

The m is the slope of the line.

The graph passes through the point (4, 2)

From the graph, the slope  = 2/4 = 1/2.

So it is y = 1/2x + 1.

Answer:

y= 75

x= 53

Step-by-step explanation:

y= 75

Vertically opposite angles

x=53

75 + 52 = 127

angles in a triangle add up to 180

180 - 127 = 53

Hope this helps!

♣ GIVEN ♣

♣ TO FIND ♣

♣ SOLUTION ♣

In the given figure y = 75° , since y and 75° are Vertically opposite angles and vertically opposite angles are equal to each other.

Now , we know that the angle sum property of a ∆ is 180°, i.e. sum of all interior angles of a triangle is equal to 180°.

So , in the given ∆ ,

=> x + y + 52° = 180° .

=> 75° + 52° + x = 180°.

=> 127° + x = 180° .

=> x = (180 - 127)°.

☞ x = 53° .

Hence ,

Answer:

D. -7

Step-by-step explanation:

Sum of three times the square of a number and -7.

If we call the number x, then the expression is:

Here - 7 is constant, x is variable, 3 is coefficient

Correct answer choice is: D. -7

The answer should be c) To determine if the relationship is bi-directional.

What is a scatterplot?

Scatterplot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed

To get an initial sense of whether the means of the groups are different from each other. scatterplot is used to show relation between the two variables. So option a is wrong.

To determine the research hypothesis has been proven. Scatterplot is no where related to research hypothesis. so option b is wrong

determine if the relationship is bi-directional. Scatterplot is used to determine that the variables are dependent or not i.e they have a relation or not ,option c is correct

To see if the relationship is postive or negative . Scatterplot is used to show dispersed data, it can't be used to show positive or negative.So option d is wrong

Therefore, option c is correct

Learn more about scatterplot.

https://brainly.com/question/6592115

#SPJ2

Answer:

y-11

Step-by-step explanation:

First you divide 3 by 3 to get one. Then you add 12 to -1 to get 11. Then you will have y-11. PEMDAS saves lives.

Answer:

y = - 11

Step-by-step explanation:

Let y - 3/3 + 12 = 0

Multiply through by 3, we have as follow:

3y - 3 + 36 = 0

3y + 33 = 0

3y = - 33

y = -33/3 = -11

Answer:

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a rectangular shape

we are required to solve for the length and width of the rectangular ball court

we know that the perimeter is expressed as

[tex]P= 2(L)+2(W)[/tex]

let the width be x

hence the length is 2x

Given data

perimeter = 64 meters

length l= 2x

width w= x

Substituting our data  and solving for x we have

[tex]64= 2(2x)+2(x)\\\\64= 4x+2x\\\\64= 6x[/tex]

Dividing both sides by 6 we have

[tex]x=\frac{64}{6}\\\\ x= 10.66[/tex]

Hence the width is 10.66 meters

The length is 2x= 2(10.66)= 21.33 meters

Answer:

200% of tickets handed out this year

Step-by-step explanation:

Let

Tickets handed out last year=x

Tickets handed out this year=2x

The number of tickets handed out this year was what percent of the number handed out last year

Last year was x%

Then, this year would be 200x%

200% tickets was handled out this year

Answer:

Inequality

Step-by-step explanation:

An inequality is mathematical sentence that compares expression that are not equal.

Answer:

5.79%

Step-by-step explanation:

The percentage error in the measurement is obtained by;

|measured temperature - actual temperature|/actual temperature ×100

actual temperature= 95°F

measured temperature= 100.5°F

|100.5 - 95|/95×100

%error= 5.79%

Answer:

7 + 8x

Step-by-step explanation:

-11 + 2 (4x -1) + 6

=> -11 + 8x -2 + 6

=> -13 + 8x + 6

=> -7 + 8x

So, the simplified expression is 7 + 8x.