13. On a certain day, 120 people
were at the cinemas. 7/10 of
them were French, 15 of them
were Chinese and the rest were
Japanese. How many of them
were Japanese?

EXPLANATION

Let's see the facts:

The increasing rate is:

The increasing rate is 1.67

In percentage this is:

The percentage of increasing is of 60%.

Answer: y=8x-58

Step-by-step explanation:

1. find the slope

Since the new line is parallel to the first one that means the slope of 8x will remain the same.

2. plug it into the point slope formula y-y1=m(x-x1)

which would look like

y-(-2)=8(x-7)

3. solve for y

y-(-2)=8(x-7)

y+2=8x-56

y=8x-58

ANSWER:

STEP-BY-STEP EXPLANATION:

In this case, we can make a proportion, since we know the time when there are 5 people, we need to know the time when there are two people

solving for x:

The width of the paper in the smaller notebook is 4 1/4 inches.

When two shapes are similar, the ratio of their corresponding sides are equal, and their corresponding angles are equal.

For two notebooks in the shape of a rectangle, the ratio of their lengths must be equal to the ratio of their widths.

If one sheet of paper in a notebook is 8 1/2 inches by 11, and the pages of the smaller similar notebook are 5 1/2 inches long, then the width of the paper in the smaller notebook is

11 inches / 5 1/2 inches = 8 1/2 inches / width of smaller notebook

width of smaller notebook = 4 1/4 inches

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Answer: Radius (r) 5.99848 in

Diameter 11.99696 in

Circumference (c) 37.68955 in

Area 113.04in²

Radius (r) 5.99848 in

Diameter 11.99696 in

Circumference (c) 37.68955 in

Area 113.04 in²

Radius (r) 0.999493 in

Diameter 1.998986 in

Circumference (c) 6.28 in

Area 3.13841 in²

Radius (r) 8.49569 in

Diameter 16.99138 in

Circumference (c) 53.38 in

Area 226.75 in²

Radius (r) 2.5 cm

Diameter 5 cm

Circumference (c) 15.70796 cm

Area 19.63495 cm²

Radius (r) 1.1 yd

Diameter 2.2 yd

Circumference (c) 6.9115 yd

Area 3.80133 yd²

Radius (r) 2 in

Diameter 4 in

Circumference (c) 12.56637 in

Area 12.56637 in²

Step-by-step explanation: I hope this helps.

The probability that the experiment results in 9 or more successes = 0.0676

A binomial distribution is given by,

P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ  ,

where p is the probability of success and x is the random variable for success in n trials.

A binomial experiment has only two outcomes- success or failure.

Here, the number of trials, n = 10

Probability of success = 0.63

The probability for 9 or more success = P( X = 9, 10)

                                                               = P (X = 9) + P(X = 10)

So P( X = 9) =  ¹⁰C₉ (0.63)⁹ (1-0.63)¹⁰⁻⁹

                   = 10 x 0.0156 x 0.37

                   = 0.05772

and P(X = 10) = ¹⁰C₁₀ (0.63)¹⁰(1-0.63)¹⁰⁻¹⁰

                     = 1 x 0.009849 x 1

                     =  0.009849

Hence probability for 9 or more success = 0.05772 + 0.009849

                                                                    = 0.067569

                                                                    = 0.0676

The question is incomplete. Find the complete question below:

A binomial experiment with probability of success 0.63 and 10 trials is conducted. What is the probability that the experiment results in 9 or more successes? Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)

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The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

Steel rods are produced by a firm. The lengths of the steel rods have a mean of 140.9 cm and a standard deviation of 1 cm, and they are regularly distributed. 22 steel rods are packaged together for shipping. determine the likelihood that the average length of a bundle of steel rods chosen at random is less than 140.7 cm.

mean is N (M) (109,1.6)

Looking for P(M 108.7) to P(z ???) conversion utilizing N(0,1) z-statistic transformation

P(z [M - population mean]/[SD/square root(sample size)]) = P(z [108.7-109)/[1.6/sqrt(27)] = P(z -0.974] = 0.165.

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According to Euler's Theorem, if gcd(a,n) = 1, then a(n) 1. (mod n). The number of relatively prime integers in the range of 1, 2,..., n-1 is represented by the Euler totient function.

The probability that mn has a units digit of 1 = 2/5

By Euler's Theorem, we have that [tex]$a^{4} \equiv 1 \pmod {10}$[/tex] if [tex]$\gcd(a,10)=1$[/tex] Hence[tex]$m=11,13,17,19$,[/tex][tex]$n=2000,2004,2008,2012,2016$[/tex] work.

Also note that [tex]$11^{\text{any positive integer}}\equiv 1 \pmod {10}$[/tex] because [tex]$11^b=(10+1)^b=10^b+10^{b-1}1+...+10(1)+1$[/tex], and the latter[tex]$\pmod {10}$[/tex]is clearly [tex]$m=11$[/tex],  [tex]$n=1999,2001,2002,2003,2005,...,2018$[/tex] work (not counting multiples of 4 as we would be double counting if we did).

We can also note that [tex]$19^{2a}\equiv 1 \pmod {10}$[/tex] because[tex]$19^{2a}=361^{a}$[/tex], and by the same logic as why [tex]$11^{\text{any positive integer}}\equiv 1 \pmod {10}$[/tex]we are done. Hence [tex]$n=2002, 2006, 2010, 2014, 2018$[/tex] and [tex]$m=19$[/tex] work (not counting any of the aforementioned cases as that would be double counting).

We cannot make any more observations that add more[tex]$m^n$[/tex] with unit digit [tex]$1$[/tex], hence the number of [tex]$m^n$[/tex] that have units digit one is [tex]$4\cdot 5+1\cdot 15+1\cdot 5=40$.[/tex] And the total number of combinations of an element of the set of all [tex]$m$[/tex]and an element of the set of all n is  [tex]$5\cdot 20=100$[/tex]. Hence the desired probability is [tex]$\frac{40}{100}=\frac{2}{5}$[/tex].

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Answer: 2/7

Step-by-step explanation:

Substract 7/7 AKA the whole, by 5/7 tp get 2/7

2/7 is the fraction of males.

The slope of the points has a value of 97/16

From the question, the line passes through the following points

(64, 94) and (48, -3).

The slope of the line that passes through the points is then calculated using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where x and y are the coordinates above

Substitute the known values in the above equation

So, we have the following equation

Slope = (94 + 3)/(64 - 48)

Evaluate the difference and the sum

Slope = 97/16

Hence, the slope is 97/16

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Answer:

a. 4.2 - 2.8 = 1.4

b. 72.1 - 45.6 = 26.5

c. 82.2 - 41.3 - 29.2 = 11.7

d. 17.1 - 11.7 - 0.8 = 4.6

e. 29.2 - 12.5 - 0.9 = 15.8

f. 21 - 14 = 7

g. 71 - 37 - 18 = 16

h. 50 - 19 - 8 = 23

i. 92 - 57 - 16 = 19

j. 44 - 18 - 9 = 17

Given:

There is a density curve given in the question

Required:

We need to find for

Explanation:

Part a

We want to find P(X<1.6)

For this we just need to find the area below the curve until x=1.6, since we have a triangle we can do this:

Part b

For this case we want to find this probability:

P(X>4.8)

and we can complement rule and we got

Final answer:

0.04

0.64

Answer:

$8 an hour and also requires a 40-hour week

Step-by-step explanation:

The slope of the line with the given coordinates (2,8) and (4,7.5) is -0.25.

Slope is simply expressed as change in y over the change in x.

Rise over run.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1( 2,8) )

Point 2( 4,7.5 )

To find the slope, plug the given x and y values into the slope formula and simplify.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 7.5 - 8 )/( 4 - 2 )

Slope m = ( -0.5 )/( 2 )

Slope m = -0.5 / 2

Slope m = -0.25

Therefore, the slope of the line is -0.25.

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Larger number: 12

Smaller number: 1

Let Statements:

Let x = the larger number

Let 1/2x - 5 = the smaller number

Equation:

x + (1/2x - 5) = 13

1.5x - 5 = 13

1.5x = 18

x = 12

Solutions:

The larger number = x = 12

The smaller number = 1/2x - 5 = 1/2(12) - 5 = 6 - 5 = 1

Answer: n= -8

Step-by-step explanation:

1. -2 = -1 + [tex]\frac{n}{8}[/tex]

2. -1 =      [tex]\frac{n}{8}[/tex]

3. -8 = n

For all the given reactions there is a type name for it they are,

1. A + B → AB

2. AB → A + B

3. Hydrocarbon + O₂ → CO₂ + H₂O

4. AB + CD → AD + CB

All the above-mentioned chemical reactions are of the following types

1 → Synthesis

2 → Decomposition

3 → Combustion

4 → Replacement

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The coordinates of the image of triangle ABC would be A (-1, -1), B (3, 2), and C (4, -6)  after translation, and if the original coordinates are A(-3,2) B(1,5) C(2,-3).

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Let assume A(-3,2) B(1,5) and C (2,-3) are original coordinates

The following translation is being used: (x, y) ⇒ (x + 2, y - 3)

First, take your x-coordinates and add them by two because it is the translation utilized to solve for your x-coordinate.

You would receive the following for yours x's: A (-1, y ) B (3, y) C (4, y)

Next, remove three from each of your y-coordinates because it is the translation being utilized to solve for your y-coordinate.

You would receive the following for your y's: A (x, -1) B (x, 2) C (x, -6)

Finally, you would take each one and put it together, or piece it together.

Hence, the coordinates of the image of triangle ABC after translation would be A (-1, -1), B (3, 2), and C (4, -6).

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We need to convert 40 degrees to radians:

Then, we need to use the next equation:

Solve it:

Hence, 40 degrees is equal to 2/9π radians.

The number of coffee mugs that can be made is 12.

From the information, the pottery studio has 11 pounds of clay and it It takes 7/8 of clay to make a coffee mug.

The number of coffee mugs that can be made will be:

= Number of pounds of clay / Fraction used for each mug

= 11 / 7/8

= 11 × 8/7

= 88 / 7

= 12

There'll be 12 coffee mugs.

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Given: A right triangle with dimensions as shown in the figure

To Determine: The ratio for sin A and cos A

Solution

Given a right triangle ABC with a reference angle A, the trigonometry ratio is

From the given right triangle with reference angle A, the hypothenuse is the side facing the right angle. The side facing angle A is the opposite, and the other side is adjacent. This is as shown below

Hence

OPTION A is the correct option

Answer:

Step-by-step explanation:

12%

Answer:

12.5%

Step-by-step explanation:

Answer:

10.736

Step-by-step explanation:

11 1/9 - 3/8 =10/53/72

= 10.736

Let the magazine be m and the eraser be e. Then the total cost is 25.

The equation can now be shown as follows;

Therefore each eraser cost $5

A grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

What is a heart rate?

The number of heartbeats that occur in a specific amount of time, usually one minute. The wrist, side of the neck, back of the knees, top of the foot, groin, and other areas of the body where an artery is close to the skin can all detect the heartbeat.

Here,

We let his normal heart rate = h

and given in the question,

20% of h = 10

20/100 * h = 10

h = 10*5

= 50 beats/min

Hence, a grizzly bear's normal heart rate when not hibernating is 50 beats per minute.

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Answer:

1/x to the -8 power simplified would be x^8

Step-by-step explanation:

When there is a negative exponent you put the fraction under 1

[tex]\frac{1}{\frac{1}{x^{8} } }[/tex]  and its the same as x^8

The simplified expression is [tex]x^8[/tex].

Exponent is the power of the variable or constant to which it is raised.

The expression 1 over x is denoted by 1/x.

The exponent of the obtained expression will be -8. So, the expression will be [tex](\frac{1}{x})^{-8}=\frac{1}{x^{-8}}[/tex].

The exponents of the denominator change from negative to positive when they move from denominator to numerator.

[tex]\frac{1}{x^{-8}}=x^8[/tex]

Thus, the simplified expression will be x raised to the power 8.

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There were three different treatments: erythropoietin, darbepoetin, and no treatment. This selection exemplifies the principle of randomization principle.

In experiments, the word treatment refers to the use of a specific medicine, therapy, or condition that is controlled by the research to test the effect of the treatment on subjects. For example, if the researcher wants to find out the ideal amount of water for a plant to grow, the treatment would be the amount of water.

In the case presented, there are three treatments:

Randomization is the principle applied because the subjects are selected randomly for each of the groups and this reduces bias.

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The location of √ 7 on a number line between 2 and 3.

A number line is a picture of a graduated straight line that serves as a visual representation of real numbers in primary mathematics. Every number line point is considered to correspond to a real number and every real number to a number line point.

A number line is a long straight line with numbers marked at equal intervals. On a number line, we can argue that as we move to the right, the value of numbers increases. This signifies that the numbers on the right are more than those on the left.

A number line shows how numbers are related. It's a line with check marks next to each number. The numerals get smaller as you move left on the number line. The numbers grow larger as you move closer to the number line.

In this case, ✓7 is 2.65. This number can be found between 2 and 3. This should be the true statement since the options aren't given.

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Answer:

Explanation:

The volume of a gas in a container varies inversely with the pressure on the gas

Let V represent volume

Let P represent Pressure

Rewrting the statement above Mathematically:

when V = 230 in³

P = 8 lb/in³

Substitute the value of P and V in the equation in order to ger k: