Find the volume of the portion of the solid sphere rholess than or equals5 that lies between the cones variant phiequalsStartFraction pi Over 6 EndFraction and variant phiequalsStartFraction 5 pi Over 6 EndFraction .

Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%

We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%

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Step-by-step explanation:

5+2•(-3)-10/(-5)

15+2•(-3×2)

15+2•-6

15-12

3

So; the answer is 3

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

A= 81

------------

Hope this helps :)

Answer:

-3

Step-by-step explanation:

simplify the expression

Answer:

-3

Step-by-step explanation:

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

The total pay for last week that Nelly earned was £180

From the information given, we have that;

For Monday - Friday

For Saturday

Double the normal rate of £8 per hour

The total hour She worked from Monday to Friday is;

= 3. 5 + 5 + 2.5 + 4 + 2

= 17 hours

From Monday to Friday

£8 × 15 = £120

£10 × 2 = £20

For Saturday

£8 × 2 = £16

£8 × 5 = £40

Total amount = £120 +  £20 + £40

Total amount = £180

Thus, the total pay for last week that Nelly earned was £180

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The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

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2.6 satisfies both conditions of having a digit sum of 8 and its double being 1 less than the number obtained by interchanging the digits. Option 3.

To solve this problem, let's consider the given options one by one and see if any of them satisfy the given conditions.

Option 1: 1.7

The sum of the digits is 1 + 7 = 8, which satisfies the first condition. Now let's check the second condition: its double is 1 less than the number obtained by interchanging the digits.

The double of 1.7 is 3.4, which is not 1 less than the number obtained by interchanging the digits. So, option 1 is not the correct answer.

Option 2: 5.3

The sum of the digits is 5 + 3 = 8, which satisfies the first condition. Now let's check the second condition: its double is 1 less than the number obtained by interchanging the digits.

The double of 5.3 is 10.6, which is not 1 less than the number obtained by interchanging the digits (3.5). So, option 2 is not the correct answer.

Option 3: 2.6

The sum of the digits is 2 + 6 = 8, which satisfies the first condition. Now let's check the second condition: its double is 1 less than the number obtained by interchanging the digits.

The double of 2.6 is 5.2, which is indeed 1 less than the number obtained by interchanging the digits (6.2). Therefore, option 3 satisfies both conditions and is the correct answer.

Option 4: 6.2

The sum of the digits is 6 + 2 = 8, which satisfies the first condition. Now let's check the second condition: its double is 1 less than the number obtained by interchanging the digits.

The double of 6.2 is 12.4, which is not 1 less than the number obtained by interchanging the digits (2.6). So, option 4 is not the correct answer.

In conclusion, the correct answer is option 3: 2.6.

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Answer:

∆ABC ~ ∆QPR by SSS since 6/8 = 9/12.

The probability of getting all vowels when three letters of the alphabet are selected at random with replacement is 1/125.

There are 5 vowels in the English alphabet (a, e, i, o, and u) and 26 letters in total. If we select three letters at random with replacement, we have 5 options for each selection.

The probability of getting a vowel on any one selection is 5/26. Since we are replacing the letter each time, the probability of getting three vowels in a row is:

(5/26) × (5/26) × (5/26) = 1/125

Therefore, the probability of getting all vowels when three letters of the alphabet are selected at random with replacement is 1/125.

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Answer:

42 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees

90-48=42

Answer:

B) 42°

Step-by-step explanation:

"complementary" means the angles add up to 90°

48° + 42° = 90°

Angle B must be 42°.

Answer:

x equals to 10

Step-by-step explanation:

every triangle is 180 degrees, so 180-(79+57)= 44.

4x+4 (reverse it), 44-4= 40, 40÷4= 10. so x=10.

I hope you understand!!!

Answer:

A. Q and R

Step-by-step explanation:

The x-axis is the horizontal line. The y-axis is the vertical line.

On the x-axis, go to the left, all the way to -5.

Look at the line that goes through -5 vertically. You will see that that line intersects with both Q and R.

This means that Q and R have equal x-coordinates, -5.

They're x and y coordinates would be

Q- (-5, 6)

R- (-5, -7)

I hope this helps!

Answer: Q and R

Step-by-step explanation:

See since in the photo the Q coordinate(Q) is directly above the R coordinate(R), that can only mean that they have the same X coordinate(X) or else it wouldn't be possible for Q to be right above R. The reason Q is right above R is because their Y coordinates(Y) are different, not because of X.

I hope this helps!

Answer:

Step-by-step explanation:

It is estimated that 0.861 percent of the population is faulty. The sample proportion's standard error is 0.022. A 98% confidence level has an upper bound of 0.910 and a lower bound of 0.812.

The comparative relationship between two or more things in terms of their size, amount, or number is referred to as a "proportion." Either a ratio or a fraction can be used to express it. The term "proportion" in statistics refers to the division of the total number of events by the frequency of each event.

The formula p = x/n, where p is the estimated proportion of defectives in the population, x is the number of defectives in the sample, and n is the sample size, can be used to determine the estimated proportion of defectives in the population.

When we substitute values, we obtain:

p = 353/410 = 0.861

As a result, the population's estimated defectiveness rate is 0.861.

The formula SE = √(p(1-p)/n), where SE is the standard error and n is the sample size, can be used to get the standard error of the sample percentage.

When we substitute values, we obtain:

SE is equal to√(0.861(1.0.861)/410) = 0.022.

As a result, the sample proportion's standard error is 0.022.

Using the following formula, the upper and lower bounds for a 98% confidence level can be determined:

Lower bound = z*SE - p

Upper bound = z*SE + p

where z is the z-score for a 98% degree of confidence.

We discover that the z-score corresponding to a 98% confidence level is roughly 2.33 using a z-table or calculator.

When we substitute values, we obtain:

Lower bound is equal to 0.861 - 2.33*0.022, or 0.812.

Upper bound is equal to 0.861 + 2.33 * 0.022 = 0.910.

Consequently, the range of a 98% confidence level is as follows:

Maximum: 0.910

Upper limit: 0.812

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It is estimated that 0.861 percent of the population is faulty. The sample proportion's standard error is 0.022. A 98% confidence level has an upper bound of 0.910 and a lower bound of 0.812.

What is a proportion?

The comparative relationship between two or more things in terms of their size, amount, or number is referred to as a "proportion." Either a ratio or a fraction can be used to express it. The term "proportion" in statistics refers to the division of the total number of events by the frequency of each event.

The formula p = x/n, where p is the estimated proportion of defectives in the population, x is the number of defectives in the sample, and n is the sample size, can be used to determine the estimated proportion of defectives in the population.

When we substitute values, we obtain:

p = 353/410 = 0.861

As a result, the population's estimated defectiveness rate is 0.861.

The formula SE = √(p(1-p)/n), where SE is the standard error and n is the sample size, can be used to get the standard error of the sample percentage.

When we substitute values, we obtain:

SE is equal to\(\sqrt{\frac{0.861(1.0.861)}{410)}\)= 0.022.

As a result, the sample proportion's standard error is 0.022.

Using the following formula, the upper and lower bounds for a 98% confidence level can be determined:

Lower bound = z*SE - p

Upper bound = z*SE + p

where z is the z-score for a 98% degree of confidence.

We discover that the z-score corresponding to a 98% confidence level is roughly 2.33 using a z-table or calculator.

When we substitute values, we obtain:

Lower bound is equal to 0.861 - 2.33*0.022, or 0.812.

Upper bound is equal to 0.861 + 2.33 * 0.022 = 0.910.

Consequently, the range of a 98% confidence level is as follows:

Maximum: 0.910

Upper limit: 0.812

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve for x ~

Answer:

\(\boxed{\blue{ = \frac{196}{3}}} \)

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+2=198

Step 1: Subtract 2 from both sides.

3x+2−2=198−2

3x=196

Step 2: Divide both sides by 3.

\( \tt \: \frac{3x}{3} = \frac{196}{3} \)

Result:

\(\boxed{\underline{ x = \frac{196}{3}}} \)

Answer:

Step-by-step explanation:

n+n

Answer:

n+n

Step-by-step explanation:

I think thats right

Answer:

C

Step-by-step explanation:

x-3≠0

x≠3

so C

Answer:

it is C

Step-by-step explanation:

i just took the test

The given box plot represented by the data sets in option A and B.

From the given box plot, we have

Minimum value = 3

Maximum value = 18

First quartile (Q1) = 7

Third quartile (Q3) = 13

Median = 10

Option A:

3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18

Median = 12

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option B:

3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Option C:

3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option D:

2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Therefore, the correct options are B and D.

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The  drawing of the number line representing the bank balances is attached below . Kyle owes the bank more money than Jason.

The number line a physical representation of all real numbers. A number line is basically a graph of all real numbers. A number line is a representation of a graduated straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

On the number line all the values of the bank balances of the 3 siblings are given.

Kyle owes the bank $2.25 , therefore Sue has $2.25 in her bank account.

Now we can see in the number line that -2.25 is to the left of -2.0 ,

therefore we can say that:

|-2.25| > |-2.00|

as the absolute value of the given balance .

But  -2.25 < -2.00

Hence Kyle owes more money to the bank as represented on the number line.

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Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

Answer:

Step-by-step explanation:

The range (ice to steam) of a Celsius thermometer = 100 C.

The range of the given thermometer = 10 + 110 = 120 degrees.

So, 1 degree C ≡ 1.2 degrees on the given thermometer.

A. So, 20 degrees C ≡ 24 on given thermometer and the reading will be 24 - 10 = 14.

Answer

Option C is correct.

Area of the figure = 50.13 inches squared

Explanation

The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.

The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.

The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,

a² + b² = (hyp)²

So, we need to calculate the radius of the semicircle on top of the figure.

a = radius of the semicircle = ?

b = 12

hyp = √153

a² + b² = (hyp)²

a² + 12² = (√153)²

a² + 144 = 153

a² = 153 - 144

a² = 9

Take the square root of both sides

√a² = √9

a = 3 in.

So,

Area of the figure = (Area of triangle) + (Area of semicircle)

Area of triangle = ½bh

b = Base of the triangle = a + a = 3 + 3 = 6 in.

h = perpendicula height of the triangle = 12 in.

Area of triangle = ½bh = ½ (6) (12) = 36 square inches

Area of semi circle = ½ (Area of circle) = ½ (πr²)

r = Radius = 3 in.

Area of semi circle = ½ (πr²) = ½ (π (3²)) = 4.5π = 14.13 square inches

Area of the figure = (Area of triangle) + (Area of semicircle)

= 36 + 14.13

= 50.13 inches squared

Hope this Helps!!!

Answer:

66-26 = 40

Step-by-step explanation:

u = 40 degrees

Answer:

a) 1365 different ways.

b) 126 different ways.

c) 504 different ways.

d) 1239 different ways.

Step-by-step explanation:

The order in which the delegates are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

(a) How many different delegations are possible?

4 delegates from a set of 15. So

\(C_{15,4} = \frac{15!}{4!11!} = 1365\)

1365 different ways.

(b) How many delegations would have all Democrats?

4 delegates from a set of 9. So

\(C_{9,4} = \frac{9!}{4!5!} = 126\)

126 different ways.

(c) How many delegations would have 3 Democrats and 1 Republican?

3 from a set of 9 and 1 from a set of 6. So

\(C_{9,3}*C_{6,1} = \frac{9!}{3!6!}*\frac{6!}{1!5!} = 84*6 = 504\)

504 different ways.

(d) How many delegations would include at least 1 Republican?

Subtract the number of delegations with only democrats(126) from the total(1365). So

1365 - 126 = 1239

1239 different ways.

The volume of the sphere is approximately 8181.510 cm³.

The volume of a sphere is the amount of space that is enclosed within the surface of a sphere.

It is a measure of the three-dimensional space that is contained within the sphere.

The volume of a sphere is used in a variety of fields, such as physics, engineering, and architecture, to calculate the space enclosed by a sphere or a spherical object, such as a planet or a ball.

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere. Substituting r = 12.5 cm and π = 3.14, we get:

V = (4/3) × 3.14 × (12.5 cm)³

V ≈ 8181.51 cm³

The volume of the sphere is approximately 8181.510 cm³.

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Answer:

I have made it in above picture

hope it helps