5,3,7,9, 5, 19,4
In the data above, five is the
mean
mode
median and mode
median
Help me please.

Answer:

a. Ratio of their circumference = 2:3

b. The ratio of their surface areas = 2:3

c. The ratio of their volume = 4:9

Step-by-step explanation:

Let the cylinders be labelled as A and B respectively.

Diameter of cylinder A = 6 in,

its radius = [tex]\frac{diameter}{2}[/tex]

                = [tex]\frac{6}{2}[/tex] = 3 in

Diameter of cylinder B = 9 in,

its radius = [tex]\frac{diameter}{2}[/tex]

               = [tex]\frac{9}{2}[/tex]  = 4.5 in

Thus,

a. circumference of a circle = 2[tex]\pi[/tex]r

Circumference of cylinder A = 2[tex]\pi[/tex]r

                                               = 2 x [tex]\pi[/tex] x 3

                                            = 6[tex]\pi[/tex] in

Circumference of cylinder B = 2[tex]\pi[/tex]r

                                              = 2 x [tex]\pi[/tex] x 4.5

                                              = 9[tex]\pi[/tex]

Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]

                                               = [tex]\frac{6\pi }{9\pi }[/tex]

                                               = 2:3

b. The surface area of a cylinder = 2[tex]\pi[/tex]rh

the surface area of cylinder A = 2[tex]\pi[/tex]rh

                                                  = 6[tex]\pi[/tex]h

the surface area of cylinder B = 2[tex]\pi[/tex]rh

                                                = 9[tex]\pi[/tex]h

The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]

                                                 = [tex]\frac{6\pi h}{9\pi h}[/tex]

                                                 = 2:3

c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                = [tex]\pi[/tex] x [tex]3^{2}[/tex] x h

                                = 9[tex]\pi[/tex]h

volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h

                                    = [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h

                                    = 20.25[tex]\pi[/tex]h

The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]

                                         = [tex]\frac{9\pi h}{20.25\pi h}[/tex]

                                         = 4:9

d=6in,9in

r=3in,4.5in

circumference:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

LSA:-

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto 2:3[/tex]

TSA

[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]

[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]

[tex]\\ \sf\longmapsto 7:15[/tex]

Volume:-

[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]

[tex]\\ \sf\longmapsto 4:9[/tex]

Answer:

C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 100[/tex]

Because of the claim of the farmer.

The alternate hypothesis is:

[tex]H_{1} \neq 100[/tex]

The alternate hypothesis tests the farmer's claim at a significance level.

The results are calculated to be statistically significant at the 0.01 level.

This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.

Answer:

6 hour and 110 Min

Step-by-step explanation:

Answer:

7 hours and 59 minutes

Step-by-step explanation:

1 hour 52 minutes = 60 + 52 = 112 minutes

2 hours 6 minutes= 120+6 =126 minutes

2 hours 3 minutes = 120 +3= 123 minutes

1 hour 58 minutes = 60 + 58 = 118 minutes

Total number of minutes / 60 minutes= # hours + minutes

479/60= Approximately 8 hours. It is 7 hours and 59 minutes to be exact.

Answer:

Hi and have a great day!

Step-by-step explanation:

Answer:

The answer should be $7,087.50

Step-by-step explanation:

4.50 x 50 = 225

225 x 1.05 = 236.25

236.25 x 30 = 7087.50

Compound interest is the interest we earned from the principal together with the interest.

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

P = $1125

R = 5% compounded annually

Time = 30 years.

The amount saved for retirement is $4861.13.

It is the interest we earned from the principal together with the interest.

The formula for the amount earned with compound interest after n years is given as:

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

We have,

Principal:

There are 5 weekdays in a week.

50 weeks = 50 x 5 weekdays = 250 weekdays.

One weekday = $4.50

250 weekdays = 250 x 4.50 = $1125

Now,

P = $1125

Rate = R = 5%

Time = T = 30 years

n = 1

The formula for compound interest:

A = P [tex](1 + \frac{R}{n})^{nT}[/tex]

A = 1125 [tex](1 + \frac{5}{100}) ^{30}[/tex]

A = 1125 x 4.321

A = 4861.125

A = $4861.13

Thus,

The amount saved for retirement is $4861.13.

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Answer:

The first one

Step-by-step explanation:

Answer:

Its the first one.

Step-by-step explanation:

The solution for y in the equation 48/y = 12 is y = 4 .

To solve for y in the equation 48/y = 12, we can multiply both sides of the equation by y to eliminate the denominator:

48/y * y = 12 * y

On the left side, the y in the denominator cancels out:

48 = 12 * y

Next, divide both sides of the equation by 12 to isolate y :

48/12 = y

Simplifying, we get:

4 = y

Therefore, the solution for y in the equation 48/y = 12 is y = 4 .

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Answer:

40%

Step-by-step explanation:

40%

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hope it helps

I don't really know how to explain sorry

Answer:

It would seem it's an isosceles triangle.

Step-by-step explanation:

An isosceles triangle has 2 equal sides (legs). It can have 3 equal sides, but that's not so in this case. I'd appreciate if someone could correct me if I'm wrong. :)

Answer:

1+y [tex]\leq[/tex] -13

Step-by-step explanation:

The problem states that one plus y is No greater than -13.

This means that is less than or equal to -13.

It also gives you one plus y, or 1+y

Put everything together to get 1+y [tex]\leq[/tex] -13

Answer:

1+y=

Step-by-step explanation:

Step-by-step explanation:

The formula is given by :

[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]

We have,

m = 19° and d = 9 cm

So,

[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]

Hence, this is the required soltion.

Answer:

C. progressive taxation

Step-by-step explanation:

Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.

There are three (3) types of taxation used by the government, these are;

1. Regressive taxation: it involves charging individuals with low incomes a higher percentage of their total income and vice-versa.

- For instance, John pays 15% on $60,000 and Joyce pays 20% on $36,000.

2. Proportional taxation: it involves charging both lower and higher income earners equally in proportion to their income.

- For instance, John pays 20% on $50,000 and Joyce pays 20% on $36,000.

3. Progressive taxation: it involves charging individuals having higher incomes a higher percentage of their total income.

- For instance, John pays 30% on $70,000 and Joyce pays 10% on $45.000.

Hence, if employees who make more money pay a higher percentage of their income to the government, this is known as progressive taxation.

Answer:460

Step-by-step explanation:on delta math

The total number of action figures in Genesis's collection will be 460.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.

The obtained expression for the given condition,

=253 / (1-0.45)

=253/0.55

=25300/55

=460

Thus, the total number of action figures in Genesis's collection will be 460.

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Answer:

x =23

Step-by-step explanation:

1) [tex]\frac{7x}{20x-4}[/tex] = [tex]\frac{3}{2x+2}[/tex]

2) Cross multiply - 14x+14=60x-12

3) Combine like terms - 46x=2

4) Divide - x=23

Answer:

6

10

10

Step-by-step explanation:

3/5 x 10 = 30/5 = 6

5/6 x 12 = 60/6 = 10

5/8 x 16 = 80/8 = 10

Answer:

68 degrees

Step-by-step explanation:

60-12(12 degrees colder on Tuesday)=58

58+10(10 degrees warmer on Wednesday)=68

Answer:

12 cats or B

Step-by-step explanation:

Because there are 3 more dogs than cats and if there is 2 cats for every 5 dogs, 5x6=30 so 2x6=12.

Answer:

The straight-line distance between the points is approximately 8.6.

Step-by-step explanation:

The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:

[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)

Where:

[tex]x[/tex] - Horizontal distance between the points.

[tex]y[/tex] - Vertical distance between the points.

Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:

[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]

[tex]d \approx 8.6[/tex]

The straight-line distance between the points is approximately 8.6.

Answer:

Line segment AD

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

[tex]AD = \sqrt{c^{2}+d^{2}}[/tex]

Line segment BC

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

[tex]BC = \sqrt{c^{2}+d^{2}}[/tex]

Line segment AB

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

[tex]AB = \sqrt{b^{2}+0^{2}}[/tex]

[tex]AB = b[/tex]

Line segment CD

[tex]CD = \sqrt{[c-(b+c)]^{2}+(d-d)^{2}}[/tex]

[tex]CD = \sqrt{b^{2}+0^{2}}[/tex]

[tex]CD = b[/tex]

Step-by-step explanation:

We defined the length of each side by the Equation of the Line Segment, which is a particular case of the Pythagorean Theorem. Let [tex]A(x,y) = (0,0)[/tex], [tex]B(x,y) = (b,0)[/tex], [tex]C(x,y) = (b+c, d)[/tex] and [tex]D(x,y) = (c,d)[/tex], we construct the equations below:

Line segment AD

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

[tex]AD = \sqrt{c^{2}+d^{2}}[/tex]

Line segment BC

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

[tex]BC = \sqrt{c^{2}+d^{2}}[/tex]

Line segment AB

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

[tex]AB = \sqrt{b^{2}+0^{2}}[/tex]

[tex]AB = b[/tex]

Line segment CD

[tex]CD = \sqrt{[c-(b+c)]^{2}+(d-d)^{2}}[/tex]

[tex]CD = \sqrt{b^{2}+0^{2}}[/tex]

[tex]CD = b[/tex]

-2(5x-8)

-10x+16

So A.

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hope it helps

Answer:

The pooled estimate of the common variance is approximately 639.59

Step-by-step explanation:

The given parameters are;

The number of shops Emily visited, n₁ = 12 shops

The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85

The standard deviation of the estimate Emily was given, s₁ = $28

The number of shops John visited, n₂ = 9 shops

The average repair estimate John was given, [tex]\overline x_2[/tex] = $65

The standard deviation of the estimate John was given, s₂ = $21

The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;

[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]

[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]

∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59

Answer:

Kirans aunt is 32 years old

Step-by-step explanation:

When Kiran was born her/his Aunt would be 17 as the problem says, so just add 15 to 17 to make 32; therefore Kiran's Aunt is 32 years old

Answer:

B. No , b/c the sides are not congruent

Step-by-step explanation:

A square is a four-sided figure whose sides are all the same length and whose angles are all right angles measuring 90 degrees. To be a square, a shape must be all these things:

A plane figure

A closed shape

A regular polygon

A quadrilateral