Express 30p as a fraction of £3.00

Answer:

Height = (x² + 10x + 25)

Step-by-step explanation:

We are given;

volume of cylinder; v = (x+5)•(x² + 10x + 25)π

Diameter = 2x + 10

So radius;r = diameter/2 = (2x + 10)/2 = x + 5

Now,formula for volume of cylinder is;

V = πr²h

Where r is radius and h is height

Plugging in the relevant values, we have;

(x+5)•(x² + 10x + 25)π = π(x + 5)*h

Dividing both sides by π(x + 5) gives us;

h = (x² + 10x + 25)

Answer:

2 hours and 45 minutes

Step-by-step explanation:

speed=distance/time

given speed=24kmph

distance=66km

time=distance/speed

66/24

Answer:93.75 miles

Step-by-step explanation:

Given

Distance between two cities is [tex]3.75\ inches[/tex]

and Map 2 shows 2 inches is equal to [tex]50\ miles[/tex]

So each inch is equal to [tex]25\ miles[/tex]

So [tex]3.75\ in.[/tex] measures

[tex]\Rightarrow =3.75\times 25=93.75\ miles[/tex]

So cities are [tex]93.75\ miles[/tex] apart

Answer: i just took the quiz it is 15

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

She found that the area of the garden will be 127 and one-half square feet by using the equation Area = b h. If the height, h, of the parallelogram-shaped garden is 8 and one-half feet, what is the base, b, in feet? Hmm so it says that base times height equals 127 and one half square feet and the height is 8 and one half feet so you guessed it you have to divided 127 and one half square feet by 8 and one half feet which is 15.

Hope this helped for you understanding how to do this problem have a great day!

Answer: whats the question tho

Step-by-step explanation:

Answer:whats the question

Step-by-step explanation:

Answer:

365.308 km

Explanation:

If you convert 140 miles into kilometers you get 225.308 km. Then you just have to add 140 and 225.308 together to get your answer. Hope this helped.

Answer:

centre = (2, - 5) and radius = 4

Step-by-step explanation:

The centre is positioned at (2, - 5 )

The distance from the centre to the circumference, the radius, is 4

Answer:

s=47

Step-by-step explanation:

s=[tex]\frac{611}{13}[/tex]

s=47

Answer:

A) 1

Step-by-step explanation:

2(1+x)= x+3

2(1+1)= 1+3

2×2= 4

4=4

Hence proven

Answer:

A. 1

Step-by-step explanation:

2(1 + x) = x + 3

2 + 2x = x + 3

2x - x = 3 - 2

x = 1

Answer:

ok

Step-by-step explanation:

Answer:

i think it might be 17%

Step-by-step explanation:

if you divide 100 by 10 u get 10 then divide 10 by 6 to get 1.6666666667 round that to one decimal place to get 1.7 then times it by 10 to get 17

Answer:

Answer is 1/6 (fraction answer)

The similarity ratio of  PQR to VXW is represented as 4 / 1

Similar triangles have the same shape but there sizes may vary. In similar triangles, corresponding sides are always in the same ratio.

The corresponding angles are congruent.

Therefore, the similarity ratio can be found as follows:

PQ / VX = PR / VW = QR / XW

Therefore,

8 / 2 = 4 / 1 = 8 / 2

4 / 1 = 4 / 1 = 4 / 1

Therefore, he similarity ratio of  PQR to VXW is 4 / 1

learn more on similar triangle here: https://brainly.com/question/12062060

#SPJ2

Answer:

10, 13, 3, 12, and 2

Step-by-step explanation:

The unit price of the first one which is a is 8 cents an ounce. The second one is 9 cents an ounce.

What you do is you take your price and divide it by the ounces.

Question one's answer is 0.08

Question two's answer is 0.09

Answer:

[tex]615.75units^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2\frac{h}{3} \\=\pi 7^2\frac{12}{3} \\=615.75units^3[/tex]

Answer:

The volume is 997.62 cubic units..

Step-by-step explanation:

We are given the following details:

The pyramid has a regular hexagonal base i.e. each side of hexagon is equal.

Side of hexagonal base, a = 8 units

Altitude of pyramid, h = 18 units

We have to find the volume of pyramid.

Formula:

[tex]V = \dfrac{1}{3} \times B \times h[/tex]

Where, B is the area of base of pyramid.

h is the height/altitude of pyramid

To calculate B:

Here, base is a hexagon with side 8 units.

[tex]\text{Area of hexagon, B }= 6 \times \dfrac{\sqrt{3}}{4}a^{2}[/tex]

Here, a = 8 units

[tex]\Rightarrow B = 6 \times \dfrac{\sqrt{3}}{4}\times 8^{2}\\\Rightarrow B = 166.27\text{ square units}[/tex]

Putting values of B and h in Formula of volume:

[tex]\Rightarrow V = \dfrac{1}{3} \times 166.27 \times 18\\\Rightarrow V = \dfrac{2992.89}{3} = 997.62\text{ cubic units}[/tex]

Hence, the volume is 997.62 cubic units.

Answer:

[tex]\mathrm{Circle\:with\:center\:at}\:\left(13,\:1\right)\:\mathrm{and\:radius}\:r=2[/tex]

Step-by-step explanation:

[tex]\left(x-13\right)^2+\left(y-1\right)^2=4\\Circle\:Equation\\\left(x-a\right)^2+\left(y-b\right)^2=r^2\:\:\mathrm{is\:the\:circle\:equation\:with\:a\:radius\:r,\:centered\:at}\:\left(a,\:b\right)\\\mathrm{Rewrite}\:\left(x-13\right)^2+\left(y-1\right)^2=4\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}\\\left(x-13\right)^2+\left(y-1\right)^2=2^2\\Therefore\:the\:circle\:properties\:are:\\\left(a,\:b\right)=\left(13,\:1\right),\:r=2[/tex]

Answer:

[tex]P(X<31)=P(\frac{X-\mu}{\sigma}<\frac{31-\mu}{\sigma})=P(Z<\frac{31-24.8}{6.2})=P(z<1)[/tex]

And we can find this probability using the normal standard distribution or excel and we got:

[tex]P(z<1)= 0.84[/tex]

And if we convert this into % we got 84% so then the best solution would be:

84%

Step-by-step explanation:

Let X the random variable that represent the size of gasoline tanks of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(24.8,6.2)[/tex]  

Where [tex]\mu=24.8[/tex] and [tex]\sigma=6.2[/tex]

We are interested on this probability

[tex]P(X<31)[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using the last formula we got:

[tex]P(X<31)=P(\frac{X-\mu}{\sigma}<\frac{31-\mu}{\sigma})=P(Z<\frac{31-24.8}{6.2})=P(z<1)[/tex]

And we can find this probability using the normal standard distribution or excel and we got:

[tex]P(z<1)= 0.84[/tex]

And if we convert this into % we got 84% so then the best solution would be:

84%

Answer:

The equation of the hyperbola is:

[tex]\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1[/tex]

Step-by-step explanation:

The equation of a hyperbola centered in the origin in standard form is:

[tex]\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}} = 1[/tex]

The distance between both vertexes is equal to:

[tex]2\cdot b = \sqrt{(0-0)^{2}+(\sqrt{12}+\sqrt{12})^{2}}[/tex]

[tex]2\cdot b = 2\cdot \sqrt{12}[/tex]

[tex]b = \sqrt{12}[/tex]

Now, the distance between any of the vertexes and origin is:

[tex]c = \sqrt{(0-0)^{2}+[(4-(-4)]^{2}}[/tex]

[tex]c = 8[/tex]

The remaining parameter of the hyperbola is determined by the following Pythagorean expression:

[tex]c^{2} = a^{2} - b^{2}[/tex]

[tex]a = \sqrt{c^{2}+b^{2}}[/tex]

[tex]a = \sqrt{64+12}[/tex]

[tex]a = \sqrt{76}[/tex]

The equation of the hyperbola is:

[tex]\frac{x^{2}}{76} - \frac{y^{2}}{12} = 1[/tex]

Answer:

The equation of the hyperbola is:

x²/76 - y²/12 = 1

Step-by-step explanation:

The standard for of an equation of a hyperbola centered in the origin is given as:

x²/a² - y²/b² = 1

The distance between both vertexes is:

2b, where b = √12

The distance between any of the vertexes and origin is:

c = 8

But a² = b² + c² (Pythagoras rule)

c² = a² - b²

8² = a² - 12

a² = 64 + 12 = 76

a = √76

Therefore, the equation of the hyperbola is:

x²/76 - y²/12 = 1

Answer:

[tex]z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43[/tex]  

Now we can calculate the p value with the following probability:

[tex]p_v =P(z>2.43)=0.0075 \approx 0.008[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

[tex]\hat p=0.64[/tex] estimated proportion of interest

[tex]p_o=0.5[/tex] is the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level

Confidence=95% or 0.95

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:[tex]p =0.5[/tex]  

Alternative hypothesis:[tex]p > 0.5[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43[/tex]  

Now we can calculate the p value with the following probability:

[tex]p_v =P(z>2.43)=0.0075 \approx 0.008[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Testing the hypothesis, it is found that:

The null hypothesis is:

[tex]H_0: p = 0.5[/tex]

The alternative hypothesis is:

[tex]H_0: p > 0.5[/tex].

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]\overline{p} = 0.64, p = 0.5, n = 75[/tex].

The value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.64 - 0.5}{\sqrt{\frac{0.5(0.5)}{75}}}[/tex]

[tex]z = 2.42[/tex]

The p-value is the probability of finding a sample proportion above 0.64, which is 1 subtracted by the p-value of z = 2.42.

Looking at the z-table, z = 2.42 has a p-value of 0.992.

1 - 0.992 = 0.008, hence, the p-value is of 0.008.

Since the p-value of the test is 0.008 < 0.05, there is significant evidence to conclude that the proportion is greater than 0.5.

A similar problem is given at https://brainly.com/question/15350925

Answer:

x =-48.1

Step-by-step explanation:

-72 + 12 - 2.x = 23 + 13.2

Combine like terms

-60 -2x = 36.2

Add 60 to each side

-2x -60+60 = 36.2+60

-2x = 96.2

divide by -2

-2x/-2 = 96.2/-2

x =-48.1

Answer:

[tex] = - 48.1[/tex]

Step-by-step explanation:

[tex] - 72 + 12 - 2x = 23 + 13.2 \\ - 2x = + 72 - 12 + 23 + 13.2 \\ - 2x = 96.2 \\ \frac{ - 2x}{ - 2} = \frac{96.2}{ - 2} \\ x = - 48.1[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

360 pi in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 12 so the radius is 1/2  the diameter

r = d/2 = 12/2 = 6

V = pi (6)^2 * 10

V = pi (36)*10

V = 360 pi in ^3

We can approximate pi by 3.14

V =1130.4 in ^3

Or we can approximate pi by using the pi button

V =1130.973355  in ^3

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Trout increased its predicted average population.

Answer: 35 miles per hour.

Step-by-step explanation:

Miles per hour is found by dividing miles driven by the time it took to drive said miles.

175 / 5 = 35 miles per hour.

Answer:

35 mph

Step-by-step explanation:

175/5=35

Answer:

(1) II only

Step-by-step explanation:

[tex]\frac{1}{2} +\sqrt{2} \:is\: the\: only\: irrational\; number\: out\; of\: the\: given\: numbers.[/tex]

Answer:

The correct answer is A

Using the numbers shown each line on the graph represents 0.1

R is 2 lines above 33.0, so R would be 33.2

The answer is A.

Answer:

[tex]-x^4-5x^3+8x^2[/tex]

Step-by-step explanation:

[tex]\left(-x^2\right)x^2+\left(-x^2\right)\cdot \:5x+\left(-x^2\right)\left(-8\right)\\-x^2x^2-5x^2x+8x^2\\-x^4-5x^3+8x^2[/tex]

Answer: −x4−5x3+8x2

Step-by-step explanation:

Answer:

( x+1)^2 = 4

Step-by-step explanation:

x^2+2x-3=0

Add 3 to each side

x^2 +2x = 3

Take the coefficient of x

2

Divide by 2

2/2 =1

Square it

1^2 =1

Add to each side

x^2 +2x = 3

x^2 + 2x+1 = 3+1

( x+1)^2 = 4

Take the square root of each side

x+1 = ±2

Subtract 1 from each side

x+1-1 = -1 ±2

x = -1+2        x = -1-2

x =1              x = -3

Answer:

(2,0)

Step-by-step explanation:

To find the midpoints of two points in the format (x,y), we find the mean for the values of x and y.

In this question:

(-2,4) and (6,-4)

Mean for the values of x:

(-2 + 6)/2 = 2

Mean for the values of y:

(4-4)/2 = 0

Midpoint:

(2,0)

Step-by-step explanation:

2x + 3 = x-4

2x-x. = -4-3

x= -7