Which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsπ(103) four-thirdsπ(43) four-thirdsπ(103) – four-thirdsπ(43) four-thirdsπ(203) four-thirdsπ(43) four-thirdsπ(203) – four-thirdsπ(43)

Answer:

[tex]CI=\{2.5053,3.2147\}[/tex]

Step-by-step explanation:

Assuming the conditions for constructing a t-confidence interval are true, we use the formula [tex]\displaystyle CI=\bar{x}\pm t^*\biggr(\frac{s}{\sqrt{n}}\biggr)[/tex] where our sample mean is [tex]\bar{x}=2.86[/tex], our sample standard deviation is [tex]s=0.78[/tex], our sample size is [tex]n=15[/tex], and a 90% confidence level is equivalent to a critical value of [tex]t^*=1.7613[/tex],

[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=2.86\pm 1.761\biggr(\frac{0.78}{\sqrt{15}}\biggr)\\\\CI=2.86\pm0.3547\\\\CI=\{2.5053,3.2147\}[/tex]

Hence, we are 90% confident that the true population mean of a student's grade point average is between 2.5053 and 3.2147

I need help too  cause i have a quiz for it to take please help me

Step-by-step explanation:

an account transaction log is simply a sequence of basic additions and subtractions.

he made a mistake in line 4 : $180 - $188 = -$8 and not $8.

he missed that this was going below zero and needed a "-" sign.

from there on everything else is wrong too (although the individual calculations are correct) - the balances are off by $16 (2×8 from -8 to +8) :

+$20 gave the real balance of $12 and not $28.

-$5.95 gave the real balance of $6.05 and not $22.05.

The quotient of two fractions, (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27), is: 3(y - 5)/2

Quotient can be described as the result you get from dividing a term by another term.

Let's find the quotient of (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27)

Quotient = (2y² - 6y - 20)/(4y + 12) ÷ (y² + 5y + 6)/(3y² + 18y + 27)

Change the division sign to multiplication sign and turn the second fraction upside down

(2y² - 6y - 20)/(4y + 12) × (3y² + 18y + 27)/(y² + 5y + 6)

Bringing out the common terms, we would have:

2(y² - 3y - 10)/4(y + 3) × 3(y² + 6y + 9)/(y² + 5y + 6)

Factorize

2(y - 5)(y + 2)/4(y + 3) × 3(y + 3)(y + 3)/(y + 3)(y + 2)

Cancel out common factors

= 3(y - 5)/2

Quotient = 3(y - 5)/2

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Answer:b

Step-by-step explanation:

lol

Answer:

x = -1.5 , y = 5.17

Step-by-step explanation:

Solve the system of equation using ELIMINATION (solve for x)

x + 3y = 14

-x + y = 10

Solution

x + 3y = 14 ------- equation 1  * 1

-x + y = 10 ------- equation 2  * 3

x + 3y = 14 ------- equation 3

-(-3x + 3y = 30)------ equation 4

Using the ELIMINATION METHOD.

x-(-3x) + 3y-3y = 14-30

4x = -6

x = [tex]\frac{-6}{4}[/tex]

x = -1.5

Substuting -1.5 into equation one

x + 3y = 14

-1.5 + 3y = 14

Adding 1.5 to both sides

-1.5 + 1.5 +3y = 14 +1.5

+3y = 15.5

Dividing by the coeffient of y

[tex]\frac{3y}{3} = \frac{15.5}{3}[/tex]

y = 5.166666666666

y =5.17

Therefore x = -1.5 , y = 5.17

Answer:

52

x 6

300 6 x 5 tens

+12 6 x 2 ones

312

Answer:

a

34

b

17

c

46

Step-by-step explanation:

a

Lowest age = 21

Highest age = 55

Range = 34

b

Add them all together and you get 17

c

Median is middle

17 total people

Formula for median:

(n + 1)/2 = th

n is the total

17 + 1 is 18

18 halved is the 9th number

The 9th number is 46

Answer:

increasing from -2 to +∞

Step-by-step explanation:

The graph starts at -2 and continues to the right which means it increases from -2.

Answer:

Increasing from -2 to positive infinity.

Step-by-step explanation: This is because this is the graph of the square root of x + 2. It will increase from -2 in the x range and eventually hit every single x value from -2 to positive infinity.

Answer:

205.03125.

Step-by-step explanation:

18/12 = 1.5

27/18 = 1.5

This is geometric with nth term = ar^(n-1)

Here first term a = 12 and common ratio r = 1.5, so

The 8th term = 12(1.5)^(8-1)

= 205.03125

Answer:

The answer is option B

[tex]859[/tex] [tex]m^2[/tex] [tex],[/tex] [tex]891[/tex] [tex]m^2[/tex]

Step-by-step explanation:

Step 1

Find the lateral area

we know that

The formula to calculate the lateral area is equal to

[tex]LA=Ph[/tex]

where

P is the perimeter of the base of the prism

h is the height of the prism

In this problem we have

[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]

[tex]h=41[/tex] [tex]m[/tex]

substitute in the formula

[tex]LA=20.94*41=858.54[/tex] [tex]m^2[/tex]

[tex]LA=859[/tex] [tex]m^2[/tex]

Step 2

Find the surface area

we know that

The formula to calculate the surface area is equal to

[tex]SA=2B+Ph[/tex]

where

B is the area of the base of the prism

P is the perimeter of the base of the prism

h is the height of the prism

In this problem we have

[tex]B=8*4/4=8[/tex] [tex]m^2[/tex]

[tex]P=4+8+8.94=20.94[/tex] [tex]m[/tex]

[tex]h=41[/tex] [tex]m[/tex]

substitute in the formula

[tex]SA=4(8)+20.94*41=890.54[/tex] [tex]m^2[/tex]

[tex]SA=891[/tex] [tex]m^2[/tex]

Answer:

the answer is π^8

Step-by-step explanation:

the math program has got some bugs in it. See your teacher and tell him or her about it

Answer:

The answer is 243

Step-by-step explanation:

Since there are 3 answers for each question and a total of 5 questions, you could do 3*3*3*3*3 or 3^5. Both will equal 243. 243 is the amount of possible different combinations that exist in this problem.

Hope this helps!

Answer: coeficient is 20 and the constant which is 13

Step-by-step explanation:

Answer:

if you have a graphing calculator you can just plug the whole equasion in. the anser I got was -0.1547307191

Step-by-step explanation:

to get pie you have to hit second and then ^

Step-by-step explanation:

9x²/3x + 12x/3x + 1

= 3x/1 + 4/1 + 1

= 3x + 5

I hope this is true..

Area of base

Area of one triangle side

Area of 4 sides

TSA

20+25=45ft²

Answer:

C)  45 ft²

Step-by-step explanation:

Formulae

Area of a square = x²  (where x is the side length)

Area of a triangle = 1/2 × base × height

The surface area of a square pyramid comprises:

⇒ area of square base = 5² = 25 ft²

⇒ area of triangular face = 1/2 × 5 × 2 = 5 ft²

⇒ Total surface area = area of square base + 4 triangular areas

                                   = 25 + 4(5)

                                   = 25 + 20

                                   = 45 ft²

Answer:

0.8x

Step-by-step explanation:

According to BODMAS,

Step 1 :

4 ÷ 5

= 4 / 5

= 0.8

Step 2 : Multiply x.

0.8 * x = 0.8x

Answer:

Step one

4 ÷ 5

= 4/5

= 0.8

Step two = 0.8 * x

= 0.8x

Based on the calculations, the measure of angle YUV is equal to 42°.

A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.

Based on the information given, we can deduce the following:

From triangle UOV, we have:

∠OUV + ∠OUV + ∠UOV  = 180°

2OUV + 84 = 180

2OUV = 180 - 84

2OUV  = 96

OUV  = 96/2

OUV  = 48°

Now, we can determine the measure of angle YUV:

∠YUV = ∠YUO - ∠OUV

∠YUV = 90 - 48

∠YUV = 42°.

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Answer:

42

Step-by-step explanation:

Answer:

The answer is C, the total amount spent on drinks

Answer:

4x + 5x = 180

9x = 180

x = 180/9

x = 180 ÷ 9

x = 20

Answer:

Er I think it’s 8 but not sure

Step-by-step explanation:

Answer:

310

Step-by-step explanation:

Multiply the l/w/h x 2

The n-th trianglar number is given by

[tex]T_n = \dfrac{n(n+1)}2[/tex]

Then

[tex]T_4 + T_3 = \dfrac{4\times5}2 + \dfrac{3\times4}2 = \boxed{16}[/tex]

Alternatively, the triangular numbers are defined recursively by

[tex]\begin{cases}T_1 = 1 \\ T_n = T_{n-1} + n & \text{for } n>1\end{cases}[/tex]

This means

[tex]T_1=1[/tex]

[tex]T_2 = T_1 + 2 = 3[/tex]

[tex]T_3 = T_2 + 3 = 6[/tex]

[tex]T_4 = T_3 + 4 = 10[/tex]

so that

[tex]T_3+T_4=\boxed{16}[/tex]

The standard form of the expanded polynomial, is expressed as: 7r² - 6r - 9.

The standard form of a polynomial is expressed by writing the term with the highest exponent or power first, while the constant is written last.

Given the polynomial:

(8r² - 7r - 9) + (-r² + r)

Distribute to open the bracket

8r² - 7r - 9 - r² + r

Combine like terms

7r² - 6r - 9 (standard form)

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Answer:

12 ft

Step-by-step explanation:

for the model is 1 and the actual is 5

conversion yards to feet

3 feet = 1 yard

20 * 3 = 60

60/5 = 12

your answers 12 ft

hope this helps:)

The relation between the exponential and the logarithm is used. Then the expression [tex]e^{\ln3}[/tex] is given as 3.

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

The expression is given below.

[tex]\rightarrow e^{\ln3}[/tex]

We know the formula

[tex]\rm e^{\ln x} = x[/tex]

Then the expression can be written as

[tex]e^{\ln3} = 3[/tex]

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Answer:

ITS C

Step-by-step explanation:

trust

Step-by-step explanation:

Stephanie has spent $150

she has saved $90

and owes her brother$40

Answer:

64 Ounces

Step-by-step explanation:

64 Ounces of hot dogs

Answer:

64 oz

Step-by-step explanation:

1 lb = 16 oz

4 × 1 lb = 4 × 16 oz = 64 oz

Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 225 - 1 = 224 df, is t = 1.6517.

The other parameters are given as follows:

[tex]\overline{x} = 48.5, s = 1.8, n = 225[/tex].

Hence the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 48.5 - 1.6517\frac{1.8}{\sqrt{225}} = 48.3[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 48.5 + 1.6517\frac{1.8}{\sqrt{225}} = 48.7[/tex]

The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.

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Hi Student!

Reading the question we can pull out specific bits of information that would help us find our answer.  One of the bits of information that is useful is that we are trying to find the perpendicular line.  However, in order to determine a line that is perpendicular to the other line we first need to determine the slope of the first line.  Looking at the equation given, we can see that it follows the y = mx + b form where m is the slope and in this case our slope is 8.

Now that we have completed the information gathering, we can move onto the next part which is determining a slope that is perpendicular to that of the original line.  In order to find that we first need to negate our slope which would turn our 8 into a -8.  The second step that we need to do is take the reciprocal of the number which means that we basically flip the number and so we convert -8 into -1/8.  Looking at the given options, there is none that match our answer so that either means that the question is wrong or the choices that are given are wrong.