The mean of four numbers is 10. Three of the numbers are 9, 11 and 7. Work out the fourth number

The volume of the given solid is 12 cubic units.

To evaluate the given double integral, we can first identify it as the volume of a solid. In this case, the integrand is (16-8y), which represents the height of the solid at any given point (x,y) in the region R=[0,1]x[0,1].

Thus, to find the volume of this solid, we need to integrate this height function over the entire region R.

∫ ∫ R (16 − 8y)dA = ∫₀¹ ∫₀¹ (16-8y) dx dy

Evaluating this double integral using iterated integration, we get:

∫₀¹ ∫₀¹ (16-8y) dx dy = ∫₀¹ [16x - 8yx] from x=0 to x=1 dy

= ∫₀¹ (16-8y) dy

= [16y - 4y²] from y=0 to y=1

= (16-4) - (0-0)

= 12

Therefore, the volume of the given solid is 12 cubic units.

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Answer:

x = 18°

Step-by-step explanation:

Since the angles are complementary, they must add up to 90°.

x + 72 = 90

x = 18°

Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

Answer:

The answer is 42/2

Step-by-step explanation:

I am so sorry if its not correct please tell me so i can fix my mistake if so.

The correct rule to describe the function g as a function of f and gives the correct rule is that g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

The correct rule to describe the function

g(x) = 3f(x)

in terms of the function f(x) = x³-2x²+7x-11 is that

g(x) = 3(x³-2x²+7x-11) and thus

g(x) = 3x³-6x²+21x-33.

In order to obtain the function g(x) from the given function f(x), it is necessary to multiply it by a constant, in this case 3.

Therefore, g(x) = 3f(x) means that g(x) is three times f(x).

Thus, we can obtain g(x) as follows:

g(x) = 3f(x) = 3(x³-2x²+7x-11) = 3x³-6x²+21x-33

Therefore, the correct rule to describe the function g as a function of f and gives the correct rule is that

g(x) = 3x³-6x²+21x-33.

This function is obtained by multiplying the function f(x) by a constant, which in this case is 3.

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Answer:

yung nasa pic sagut sa⇩

The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)

What is the equation of the circle in standard form?⇩

-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.

thank me later♡

Answer:

a no b yes c no d no e yes

Step-by-step explanation:

Use FOIL method...

1. (x^2 + 2xy + y^2)(x+1)

x^3 + 2x^2y + xy^2 + x^2 + 2xy + y^2

Add Like Terms

There are no like terms.

2. x^3 + x2 +2x2y +xy2 + y2 + 2xy

3. (6x -8)(2x -3)

4. (-2x – 1) (9x +2)

5. (2x^2 - 4xy + 2y^2) (3x-4)

6. 6x^3 – 12x^2y + 6xy^2 – 8x^2 + 16xy-8y^2

Answer:

The answer is c

Step-by-step explanation:

The conclusion does not change if the significance level went from 7% to 5%.

According to the given situation, 79% of the fruits sold are good and whether there is an increase in the percentage of good fruit is to be tested. If there is no increase in percentage of good fruit, p = 0.79 and if there is an increase in percentage of good fruit, p > 0.79.

The test statistic is given by z = (X - µ)/(σ/√n)

In the given data, µ = 0.79 and σ = √(0.79(1-0.79) = 0.407

In a random sample n = 475 and 85 are bad.

Good fruits = 475 – 85 = 390

X = 390/475 = 0.8211

Hence,

z = (0.8211 – 0.79)/(0.407/√475) = 1.66

From the z-table, p value is 0.9515.

The p value of the test that no increase in percentage of good fruits = 1 – 0.9515 = 0.0485

If the p-value is less than 0.05 it is statistically significant. As 0.0486 is less than 0.05 and 0.07 there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit. It is true for each significance level. Hence, the change in significance levels does not change the conclusion.

Note: The question is incomplete. The complete question probably is: In recent years, only 79% of the fruit sold at Fred's Fruit stand has been any good. Fred recently started buying fruit from new farmers and wants to know if there is a statistically significant increase in the percentage of good fruit. In a random sample of 475 pieces, 85 were bad. How would the conclusion change if the significance level went from 7% to 5%?

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Answer: 1/5

Step-by-step explanation:

Let's find the slope between your two points.

(2,4);(−3,3)

(x1,y1)=(2,4)

(x2,y2)=(−3,3)

Use the slope formula:

m=y2−y1/x2−x1

=3−4/−3−2

=−1/−5

=1/5

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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Answer:

m∠c = 30°

Step-by-step explanation:

Given:

m∠e = 115° and m∠b = 85°

To find:

m∠c

Angle e and angle a are the linear pairs.

By the property of linear pair of angles,

m∠a + m∠e = 180°

m∠e = 180° - m∠a

115° = 180° - m∠a

m∠a = 180 - 115

        = 65°

By the property of interior angles of a triangle,

m∠a + m∠b + m∠c = 180°

65° + 85° + m∠c = 180°

m∠c = 180 - 150

m∠c = 30°

Therefore, measure of angles c is 30°.

Answer:

6.63

Step-by-step explanation:

This is the answer because 26.54 - 75 %

=6.63

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Answer:

No because the sign does not have a line under it. The line means equal too

Step-by-step explanation:

Answer:

Domain: {-10, -8, -6, -4}

Range: {-5, -4, -3, -2}

Step-by-step explanation:

The domain is a set of all the x's. Here you were given points and the first number in the parenthesis is the x in (x, y). Sometimes they will give you a table or a graph. But domain is all the x's gathered together. I put them in order from small to big to be neat. There aren't any repeats here, but if there ever are repeats you don't have to list them multiple times, just once.

The range is all the y's in the points (x, y) its the second number. Gather all the y's in a set, that is the range.

The answers of all the parts are solved below:

1. Significant digits:

12.03: 4 significant digits

58.2: 3 significant digits

0.002: 1 significant digit

0.0030: 4 significant digits

0.00050004: 7 significant digits

2: 1 significant digit

2. Conversions:

0.05 km to mm: 0.05 km = 0.05 x 10^6 mm = 50,000 mm

0.15 hm to cm: 0.15 hm = 0.15 x 100 cm = 15 cm

280 dm to dam: 280 dm = 280 x 10 dam = 2,800 dam

500,000 mm to km: 500,000 mm = 500,000/10^6 km = 0.5 km

85 m to hm: 85 m = 85/100 hm = 0.85 hm

3. Significant digits in calculation:

(a) 25.3456 +888.010 + 53.11 + 7-10: 925.456, 4 significant digits

(b) (45.805 * 2.00) / 5.0 + 0.1: 13.52, 4 significant digits

4. Scientific notation with significant digits:

(a) 70,000,000 * 9.8540 * 2.00 * 10^8 = 1.38 x 10^18, 2 significant digits

(b) 8.888 * 10^14 * 4.00 * 10^-6 - 3.0 * 10^7 = 3.555 x 10^7, 4 significant digits

Trigonometry:

Given triangle ABC with angle B = 56, angle C = 35 and side A = 10. To find side B.

Using the law of cosines, B = sqrt(A^2 + C^2 - 2 * A * C * cos(B)) = sqrt(10^2 + 56^2 - 2 * 10 * 56 * cos(56)) = 115, 3 significant digits.

Thus, All the answers are solved above.

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Answer:

5 months

Step-by-step explanation:

I'm assuming there was a typo and said that Phil weighed both amounts so I'm assuming that the second amount is Bill's weight

We can use LCM for this

So lets make a list for both of them

Phil:120, 130, 140, 150, 160, 170, 180, 190, 200

Bill: 150, 154, 158, 162, 166, 170, 174

As you can see here, after 5 months, they will have the same weight.

We can check our work to.

lets do 120+(10*5)=170

and 150+(4*5)=170

I hope this makes sense

Answer:

5 months

Step-by-step explanation:

lets chart it like i did as you can see they both started at 120 and 150 then 5 month later there both 170

bill              phil

start . 120      150

1m.130       154

2m.140       158

3m.150       162

4m.160       166

5m.170        170

The following that correctly identifies the set of outputs are {(−2, 5), (−1, 1), (2, −2), (5, 2)}.

The correct answer to the given question is option A.

The correct answer is A. {(−2, 5), (−1, 1), (2, −2), (5, 2)}.

In this question, we are asked to identify the set of outputs from the given options. To do this, we need to look at the graph of the function and see which y-values correspond to the given x-values.

By looking at the graph, we can see that when x = -2, the corresponding y-value is 5. Similarly, when x = -1, the corresponding y-value is 1. When x = 2, the corresponding y-value is -2, and when x = 5, the corresponding y-value is 2.

Therefore, the set of outputs for this function is {(−2, 5), (−1, 1), (2, −2), (5, 2)}, which matches option A.

Option B, {−2, −1, 2, 5}, is incorrect because it only lists the x-values and not the corresponding y-values.

Option C, {(5, −2), (1, −1), (−2, 2), (2, 5)}, is incorrect because it lists the coordinates in a different order than what is shown on the graph.

Option D, {−2, 1, 2, 5}, is incorrect because it only lists the x-values and not the corresponding y-values.

Therefore, the correct answer is A. {(−2, 5), (−1, 1), (2, −2), (5, 2)}.

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There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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Answer: The answer is B

Step-by-step explanation:

Answer:

Option B is correct

Step-by-step explanation:

cos (3pi/4) = -cos(pi - 3pi/4) = -cos(pi/4) = -sqrt(2)/2

=> Option B is correct

Answer:

x=0

Step-by-step explanation:

21x-3x=yx(7-1)

18x=6xy

18x=6xy=0

6x(3-y)=0

x=0

Answer:

\(AP = \frac{1}{2} AB \\ AB = 2AP\)

Answer:

\(x=2, \ y=1\)

Step-by-step explanation:

\(\displaystyle \left \{ {{\text{Equation I:} \ \ 2x+y =5} \atop {\text{ Equation II:} \ \ 3x-2y=4}} \right.\)

Multiply \(\text{Equation I}\) by 2.

Now we have this system of equations:

We can add the equations together to cancel out y.

Substitute x = 2 into the first equation and solve for y.

The solution to this system of equations is:

Answer:

\(y = 120000( {1.055}^{x} )\)

The last option c is right because each book selected represents the sample from the population of full library books.

We have given that,

Sahira chooses a random sample from the library and records the type of books in the chart below.

Type of Book      Number

Fantasy                 10

Literature              25

Children’s               4

Nonfiction             11

t, showing the distribution of the number of books in a library.

Also given that Sahira chooses a random sample from the library and records the type of books in the chart below.

Sahira's sample can be said to be representative because given that books are taken at random.  

So just because books literature more we cannot say it is not representative  II option is not right, because each book was not chosen uniquely, just random books were drawn.

A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.

The last option c is right because each book selected represents the sample from the population of full library books.

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Answer: His score is 7.  

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Correct answer = +5

Incorrect answer =-2

Unattempted =0

Ram gets 3 correct and 4 incorrect out of 7 questions.

He attempted 7 questions (3 correct +4 incorrect) so, there are not unattempted questions.

Next, we have to multiply the number of correct questions by the marks given for each correct question ( some process for the incorrect questions)

3 correct = 3 (5) = +15

4 incorrect = 4 (-2) = -8

Adding both results:

+15-8= 7

His score is 7.  

Feel free to ask for more if needed or if you did not understand something.