Amira decides to estimate the volume of an apple by modeling it as a sphere. She measures its circumference as 43.4 cm. Find the apples's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

For completion of table you should know the basics formulas :-

[tex]\sf{=}{\sf{\dfrac{Sum \:of\: class \:interval }{ 2}}}[/tex]

That is,

[tex]\sf{=}{\sf{\dfrac{ = 18 + 25}{2}}}[/tex]

[tex]\sf{=}{\sf{\dfrac{ = 43}{2}}}[/tex]

[tex]\sf{= 21.5 }[/tex]

[ For more calculation ,Please refer the attachment ]

[tex]\sf{ fx = frequency {\times} midpoint }[/tex]

[tex]\sf{ fx = 8 {\times} 21.5 }[/tex]

[tex]\sf{ fx = 172 }[/tex]

[ For more calculation please refer the attachment ]

We have to calculate mean, median and mode of the given data

We know that the,

Mean = Sum of all observation / no. of observation

That is

[tex]\sf{ Mean = }{\sf{\dfrac{ {\sigma}fx}{{\sigma}x}}}[/tex]

Subsitute the required values,

[tex]\sf{ Mean = }{\sf{\dfrac{ 1811 }{ 187.5}}}[/tex]

[tex]\sf{ Mean = 9.65}[/tex]

Hence, The mean of the given data is 9.65

We know that, For odd numbers

[tex]\sf{ Median = l + }{\sf{\dfrac{ (n/2 - c)}{ f}}}{\sf{ h }}[/tex]

Here,

[tex]\sf{ n = }{\sf{\dfrac{ 50 + 1}{ 2}}}[/tex]

[tex]\sf{ n = }{\sf{\dfrac{ 50 }{ 2}}}[/tex]

[tex]\sf{ n = 25 }[/tex]

Subsitute the required values in the above formula :-

[tex]\sf{ Median = 34 + }{\sf{\dfrac{ (25-20)}{ 14}}}{\sf{ 7 }}[/tex]

[tex]\sf{ = 34 + }{\sf{\dfrac{ 5}{ 14}}}{\sf{ {\times}7 }}[/tex]

[tex]\sf{ = 34 + }{\sf{\dfrac{ 35}{ 14}}}[/tex]

[tex]\sf{ = 34 + 2.5}[/tex]

[tex]\sf{ = 36.5 }[/tex]

Hence, The median of the given data is 36.5 .

We know that,

[tex]\sf{ M= l }{\sf{\dfrac{ (f1 - fo)}{ 2f1 - fo - f2 }}}{\sf{ {\times} h }}[/tex]

Subsitute the required values,

[tex]\sf{ M= 34 }{\sf{\dfrac{ (14 - 12)}{ 2(14)- 12 - 12 }}}{\sf{ {\times} 7 }}[/tex]

[tex]\sf{ M= 34{\times}}{\sf{\dfrac{ 2}{ 28 - 24 }}}{\sf{ {\times} 7 }}[/tex]

[tex]\sf{ M= 34{\times}}{\sf{\dfrac{ 2}{ 4 }}}{\sf{ {\times} 7 }}[/tex]

[tex]\sf{ M= 34{\times}}{\sf{\dfrac{ 1}{ 2 }}}{\sf{ {\times} 7 }}[/tex]

[tex]\sf{ M= 34{\times}}{\sf{\dfrac{ 7}{ 2 }}}[/tex]

[tex]\sf{ M= 34 + 3.5 }[/tex]

[tex]\sf{ M= 37.5 }[/tex]

So,

Hence ,The mode of the given data is 37.5 .

Answer: 3 and 5 (b and g)

Step-by-step explanation:

I got it correct on Edge

Answer:

(5,4)

Step-by-step explanation:

that is directly between the two points

Answer:

C. 15%

Step-by-step explanation:

35 * 0.15 = 5.25

35 - 5.25 = 29.75

A percentage is a way to describe a part of a whole. The percentage of discount on the swimsuit is 15%.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

We know that the cost of the swimsuit is $29.75, while the original cost of the swimsuit is $35. Now, after the discount the price will be a percentage of the original, therefore, the discounted price can be written as,

Discounted Price = x% of Original Value

[tex]29.75 = \dfrac{x}{100} \times 35\\\\x = 85[/tex]

Now, as we know that the discounted price is 85% of the original price, therefore, the price will have a 15% discount(100%-85%).

Hence, the percentage of discount on the swimsuit is 15%.

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Answer:

P = 1/5 = 0.20 = (20%)

Step-by-step explanation:

there are 12 horses and 8 cows, in total there are 20 animals

of which 4 horses are brown

Then

[tex]P=\frac{4}{20} =\frac{1}{5}[/tex]

Hope this helps

Answer:

14 (exactly 500) or 15 (over 500)

Step-by-step explanation:

We know that Alexis has already bought 50 stamps.

50 + 30 = 80

We need to subtract to see how many stamps she needs.

500 - 80 = 420

We divide by 30 to see about how many weeks it would take.

420 / 30 = 14

We can add 1 more week because she wants to have more than 500 stamps.

hope this helps :)

Answer:

943 exponent 14

Step-by-step explanation:

The question deals with indices(exponents). Therefore,all laws of indices related to the question must be applied to clearly solve and understand the question.

so,(943 exponent 78 · 943 exponent 1)/943 exponent 65

· means multiplication so simply,(943 exponent 78 × 943 exponent 1)/943 exponent 65

The laws of indices clearly state that, when two indices of the same base are multiplying, you add their exponents and when dividing,you subtract their exponents.

As all the indices have the same base which is "943", we can quickly add & subtract the exponents.

(Leaving base out of calculation now to make it easier to directly deal with exponents)

(78+1)-65(From the rules)

79-65=14,which means 943 exponent 14

∴The answer is 943 exponent 14

Answer:

The answer is 1.25

Step-by-step explanation:

5% of 25 = ?

5/100 × 25

1/20 × 25 = 25/20 = 5/4 = 1.25

Thus, 5% of 25 is 1.25

Answer:

6 years

Step-by-step explanation:

Given values :

To Find :

Solving :

Answer:

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

__

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

__

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

  Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

  Sn ≥ 1,000,000

  1 × (2^n -1)/(2 -1) ≥ 1,000,000

  2^n ≥ 1,000,001 . . . . add 1

  n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

  n ≥ 19.93

The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.

Answer:

x<−0.00325153

x> 0.00325153

Step-by-step explanation:

-1/2 (3^(2)+7) x >32

-1/2 (3^(9) x >32

-1/2 (19683) x >32

-9841.5 x >32

x<−0.00325153

x> 0.00325153

[tex]\\ \rm\rightarrowtail 5x^2-2x-7=0[/tex]

[tex]\\ \rm\rightarrowtail 5x^2-7x+5x-7=0[/tex]

[tex]\\ \rm\rightarrowtail x(5x-7)+1(5x-7)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(5x-7)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1,7/5[/tex]

Answer:

Given:

⇒ P(black ball) = 3/10 = 0.3

⇒ P(white ball) = 7/10 = 0.7

If one ball is chosen at random and replaced, the probabilities do not change between the first and second ball.

Let event D = first ball is black

Let event S = second ball is black

P(D) = 0.3

P(S) = 0.3  (since the first ball is replaced)

⇒ P(D ∩ S) = P(D) × P(S)

                   = 0.3 × 0.3

                   = 0.09

For Independent Events we know that:  P(A ∩ B) = P(A) × P(B)

Therefore, as P(D ∩ S) = P(D) × P(S) the events are independent.

Answer:

66.6667

Step-by-step explanation:

100% correct mark brainliest

Answer:

2 x-intercepts

Step-by-step explanation:

Standard form of quadratic equation: [tex]\sf y=ax^2+bx+c[/tex]

Given equation: [tex]\sf y=x^2+3x[/tex]

Therefore:

Discriminant: [tex]\sf b^2-4ac[/tex]

Substituting values into discriminant:

[tex]\sf \implies 3^2-4(1)(0)=9[/tex]

As discriminant > 0 then 2 real roots (2 x-intercepts)

Answer:

sqrt(11)

Step-by-step explanation:

a^2+b^2 = c^2

a = 5

c = 6

b = ?

25 - b^2 = 36

36 - 25 = b^2

b = sqrt(11)

The ladder should be 7.81 feet long.

Pythagoras theorem tell us the relation between the sides of a right-angled triangle, it states, the sum of the squares of the base and perpendicular is equal to the square of the hypotenuse.

Given that, Aubrey is building a slide for her kids. If the ladder is 6 feet tall, and she wants the bottom of the slide to be 5 feet from the ladder,

This slide is in the form of a right triangle, therefore applying the Pythagoras theorem, we have,

a²+b² = c² (refer to the figure attached)

5²+6² = c²

c² = 25+36

c² = 61

c = √61

c ≈ 7.81

Hence, the length of the slide should be 7.81 feet.

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The 7th term of the sequence to the nearest thousandth is 223.949

These are sequence that increases in an exponential form.

The formula for calculating the nth term of a geometric sequence is expressed as:

Tn = ar^n-1

Given the following parameters

a = 75

r = 1.2

n = 7

Substitute the given parameter into the formula

T7 = 75(1.2)^6
T7 = 223.949

Hence the 7th term of the sequence to the nearest thousandth is 223.949

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Answer:

$125 you will end up w/ $5125

Step-by-step explanation:

Answer:

(b) is inverse while (a) is not inverse.

Step-by-step explanation:

we can see this since the values of x and y should flip if the function is inverse. we see this in (b) but not in (a).

[tex]8x \leqslant 29[/tex]

Answer:

8x ≤ 29

Step-by-step explanation:

The reason why is because, 8 times 'x' also means 8 multiplied by x.

The words less than or equal to mean ≤, this is because the less than sign (<) denotes that the product of 8 and 'x' is below 29 and the line underneath the less than sign (<) means that it is equal to.

Answer:

Step-by-step explanation:

Answer:

95/351

Step-by-step explanation:

the first thing you must do is to add 140 and 94 and 22 together

you get 256

then you subtract 351 with 256 and get 95

and then you do this

95/351

Answer:

I am sorry but u didn't really ask any question to be answered so next time give a question to be answered

Answer:

y= |x-3|+ |x+2|-|x-5|; x<-2

y=-2

Answer: 4 1/2 hours

Step-by-step explanation:

if it takes luke 3 hours to drive 150 miles that means in 6 hours he would have driven 300 miles.

he drives 50 miles per hour

so 250 miles is 4 1/2

A necessary step for constructing perpendicular lines through a point on a line is D. Draw arcs on either side of a given point of the line.

A perpendicular line simply means the lines that intersect at 90 degrees.

In this case, a necessary step for constructing perpendicular lines through a point on a line is to draw arcs on either side of a given point of the line. This can be done by opening the compass bans marking two points of intersection between the arcs in a given line.

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Answer:nj

Step-by-step explanation:

j

Answer:

area of trapezium=1/2 h(length 1+length2)

1/2*5*(13+6)

1/2*5*19

Answer:

Area = 47.5cm^{2}

Step-by-step explanation:

Area = 1/2 (a+b) × height

Area = 1/2 (6 + 13) × 5

  Area = 1/2 (19) × 5

    Area = 47.5cm^{2}

Answer:

  (b)  65/27

Step-by-step explanation:

Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.

The sum represented by the summation symbol is ...

  5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3

  = 5(1 -2/3 +4/9 -8/27)

  = 5/27(27 -18 +12 -8)

  = 5(13/27) = 65/27

__

There is a formula for the sum of a geometric series:

  Sn = a1×(1 -r^n)/(1 -r)

Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...

  S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27