19. 140% of 60
find the percent of the number. Explain your method

Answer:

30

percenr

Step-by-step explanation:

Answer:

0.933 ; not independent

Step-by-step explanation:

Given :

A - made from natural polished wood

B - made from chrome accent

P(A) = 0.9

P(B) = 0.75

P(AnB) = 0.7

1.) probability of natural wood Giveb that it has chrome accent

P(A|B) = P(AnB) / P(B)

P(A|B) = 0.7 / 0.75

P(A|B) = 0.933

2.)

For an independent event :

P(AnB) = p(A) * p(B)

P(AnB) = 0.9 * 0.75 = 0.675

However, p(AnB) Given here is 0.7, thus the event aren't independent

A) 0.933

B) Not independent

Let us consider

'A' - made from natural polished wood

'B' - made from chrome accent

% of the boats are given. Thus the probability will be:

P(A) = 0.9

P(B) = 0.75  

P(AnB) = 0.7

1.) Probability of natural wood that it has chrome accent

\(P(\frac{A}{B}) = \frac{P(AnB)}{P(B)}\\\\P(\frac{A}{B}) =\frac{0.7}{0.75}\\\\P(\frac{A}{B}) =0.933\)

The probability that if a boat has chrome accents it is also made of natural wood is 0.933.  

2.)  For an independent event :  

\(P(A\text{ n}B) = P(A) * P(B)\\\\P(A\text{ n}B)= 0.9 * 0.75\\\\P(A\text{ n}B) = 0.675\)

However, p(AnB) Given here is 0.7, thus the event aren't independent.

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Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Answer:

\(\$1125\)

Step-by-step explanation:

The equations of the system are

\(2x+4y\leq 12\)

\(y\geq 0\)

\(0<x\leq 3\)

From the graph it can be seen that points \((3,1.5)\) and \((3,0)\) falls in the bounded region.

The income will be

\(125x+500y=125\times 3+500\times 1.5\\ =\$1125\)

\(125\times 3+500\times 0=\$375\)

So, the person can do 3 small jobs and build 1 and a half cabinets per day.

The maximum income will be \(\$1125\).

The volume of the solid whose base is the semicircle y = √(16 - x²), where -4 < x < 4 and whose cross section perpendicular axis are squares is 256/3 unit³

To obtain the volume of a 3D shape, the cross-section area is discovered and then integrated across a predetermined limit. This technique is known as the cross-sectional method of volume fining. The area of the square base is determined in the given problem, and it is then integrated to determine the overall volume.

To find the volume we will first find the cross-sectional area and then integrate it with respect to x from -4 to 4.

Thus the volume is given as follows:

y = √(16 - x²)

V = ₋₄∫⁴ (√(16 - x²))² dx

V = ₋₄∫⁴ (16 - x²) dx

V = [16x - x³/3]₋₄⁴

V = (64 - 64/3 + 64 -64/3)

V = 256/3 unit³

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it's interpreted as 28 - 21 = 7

Answer:

83/10

Step-by-step explanation:

Decimal form:8.3

Mixed number form: 8 3/10

Answer:

Step-by-step explanation:

8.3

Answer:

D. 13 1/2

Step-by-step explanation:

Answer: d

Step-by-step explanation:

Answer:

x=38

Step-by-step explanation:

Answer:

B. x = 0

Step-by-step explanation:

we notice that a point and it’s image have the same y-coordinate and opposite x-coordinates

Example :

A(-2 , 2) is a point and A(2 , 2) it’s image by the reflection

\(y_{A}=2=y_{A^{\prime }}\)

\(x_{A}=-2=-x_{A^{\prime }}\)

Then the reflection is across the y-axis

Or The equation of the y-axis is  x = 0

answer-

577468-64753=57623546

The value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π​, is 0.906.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees. The formula for cos compound angle using angle sum theorem can be given as,

\(\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)\)

The exact value of cos (a+b)  has to be find out. It is given that,

\(\cos a= \dfrac{3}{5}\)

The value of a is lies between 0<a< π/2. The value of other side of the triangle using the Pythagoras theorem,

\(5^2={x^2+3^2}\\x^2=25-9\\x=\sqrt{16}\\x=4\)

Thus, the value of sin a is 4/5 from the trigonometry ratio. the value of sine b is,

\(\sin b = -\dfrac{8}{17}\)

The value of b is lies between  3π / 2 <b < 2 π​. The value of the other side of the triangle using the Pythagoras theorem,

\(17^2={(-8)^2+y^2}\\y^2=289-64\\y=\sqrt{225}\\y=15\)

Thus, the value of cos b is, 15/17. Put the values in above formula,

\(\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)\\\cos (a+b)=\dfrac{3}{5}\times\dfrac{15}{17}-\dfrac{4}{5}\times\dfrac{-8}{17}\\\cos (a+b)=\dfrac{9}{17}+\dfrac{32}{85}\\\cos (a+b)=0.906\)

Thus, the value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π​, is 0.906.

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Answer:

x = 7 ,   y = 4

Step-by-step explanation:

The required probability is 0.970 (approx.) or 97/100 (in fraction).

Given that 69% of people in a large population have been vaccinated. We are required to determine the probability of at least one person being vaccinated if three people are randomly selected. Let's solve it using the complement rule.

The complement rule states that the probability of an event occurring is equal to 1 minus the probability of that event not occurring. That is, if A is an event, then P(A) = 1 - P(A').

We can solve the given problem using the complement rule as follows: Let P(A) be the probability of at least one person being vaccinated.

Then, the probability of no one being vaccinated is P(A') = (100 - 69) = 31%.

To find the probability of at least one person being vaccinated, we can subtract the probability of none of them being vaccinated from 1. That is, P(A) = 1 - P(A') = 1 - 0.31 × 0.31 × 0.31 = 1 - 0.029791 = 0.97021.

Hence, the probability of at least one person being vaccinated if three people are randomly selected is 0.97021 (rounded to 3 decimal places).

Therefore, the required probability is 0.970 (approx.) or 97/100 (in fraction).

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Answer:

  B)  15/17

Step-by-step explanation:

You want the sine of acute angle A in the right triangle shown.

The sine of the angle is the ratio ...

  Sin = Opposite/Hypotenuse

We can go to the trouble to figure the hypotenuse, or we can choose the only suitable answer from the list provided. (It is the one marked already.)

The leg lengths of the triangle shown are 8 and 15, with leg 15 being opposite angle A. This is the first clue that the ratio will have 15 in the numerator. Only answer choice B matches.

The value of the sine function is never greater than 1, eliminating answer choices A, C, and E, leaving choices B and D.

Since the side opposite angle A is the longest of the two legs, we know that angle A is more than 45°, and its sine is more than √2/2. That means choice D can be eliminated, since it is less than 1/2.

The sine of angle A is 15/17.

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Outputs represent your y - values in coordinate.

Input represent your x - values in coordinate.

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We know that;

A relation is said to be a function if set of inputs having one output each.

Hence, In coordinate (x, y);

All x - values represents inputs and all y - values represent outputs.

Hence, Outputs represent your y - values in coordinate.

And, Input represent your x - values in coordinate.

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Answer:

Subtraction property of inequality

Step-by-step explanation:

Step 1: Definition of Subtraction property

Subtraction property of equality refers to balancing an equation by using the same mathematical operation (minus) on both sides.

Step 2: Relate the definition above with the given question.

It can be seen from the statements in the question that 3 was subtracted from both sides of the initial equation to get:

\(x + 3 = 17 \\ x + 3 - 3 = 17 - 3 \\ x = 14\)

Answer:

d.

Brand C, Brand A, Brand B

Step-by-step explanation:

To find the unit price, we divide the price by the number of pounds.

Brand A: $1.48 for 2.5 pounds

Unit price of:

\(\frac{1.48}{2.5} = 0.592\)

Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams

907.18/453.59 = 2 pounds

Unit price of:

\(\frac{1.3}{2} = 0.65\)

Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces

50/16 = 3.125 pounds

Unit price of:

\(\frac{1.55}{3.125} = 0.496\)

From lowest to highest unit price:

C, A and B, so option d.

Answer:

D

Step-by-step explanation:

Unit prices are ratios, so you can add the two prices together and divide by the smaller unit price to get a usable number.

Given dimensions of the room:

Length: \(\displaystyle\sf 12.5 \,m\)

Width: \(\displaystyle\sf 9 \,m\)

Height: \(\displaystyle\sf 7 \,m\)

Area of each wall:

\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)

\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)

Area of each door:

\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)

Area of each window:

\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)

Total area occupied by doors:

\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)

Total area occupied by windows:

\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)

Total wall area excluding doors and windows:

\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)

\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)

\(\displaystyle\sf = 275 - 6 - 6\)

\(\displaystyle\sf = 263 \,m^2\)

Cost of painting the walls:

\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)

\(\displaystyle\sf = 263 \times 3.50\)

\(\displaystyle\sf = 920.50 \,Rs\)

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

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Answer:

A- 3 3/4

Step-by-step explanation:

15*1/4= 3 3/4......

Answer:

Less

Step-by-step explanation:

100% is full size

The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:

Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.

Some of the common profitability ratios include:

Stockholders' equity = $442,600

Total assets = $640,000

Net sales = $480,000

Net income = $36,000

Profit margin ratio = Net income/Net Sales x 100

= $36,000/$480,000 x 100

= 7.5%

= 8%

Return on equity ratio = Net income/Shareholders' Equity x 100

= $36,000/$442,600 x 100

= 8.13%

= 8%

Asset turnover ratio = Net Sales/Total Assets

= $480,000/$640,000

= 0.75

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Answer:

negative 400 over 9−  

400

9

=negative 44 and 4 over 9− 44

4

9

≈negative 44.444−44.444

Step-by-step explanation:

The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10

From the question, we have the following parameters that can be used in our computation:

The difference of -10 and the product of p and q

The numbers are given as

p and q

The product of p and q means pq

So, we have the following

The difference of -10 and pq

The difference of -10 and pq means

pq + 10

Hence, the expression is pq + 10

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The explicit formula that represents the nth term of the sequence will be aₙ = 18 - 7n.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

11, 4, -3, .....

The first term is 11. And the common difference is given as,

d = 4 - 11

d = - 7

The explicit formula that represents the nth term of the sequence is given as,

aₙ = a₁ + (n - 1)d

aₙ = 11 + (n - 1)(-7)

aₙ = 11 - 7n + 7

aₙ = 18 - 7n

The explicit formula that represents the nth term of the sequence will be aₙ = 18 - 7n.

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Answer:

(-2, 2)

Explanation:

We test the points algebraically:

At point (0,1): x=0, y=1

At point (-2,2): x=-2, y=2

At point (1,2): x=1, y=2

At point (1,3): x=1, y=3

We observe that only the point (-2,2) gives a false result.

Therefore, (-2,2) is not a solution of 3x - y>-2.