Dans une usine de mise en bouteilles d'eau minerale, il arrive que la machine a etiqueter deteriore les etiquettes. Une etude statistiquwe est realiser afin d'evaluer ce risque avec la machine.. 10 echantillons de 400 bouteilles sont preleves au hasard dand le production. Les effectifs de etiquettes abimees par echantillon sont indiques ci-dedsous:
1 Calculet pour chaque chantillon les frequences a 0'001 qui correspondent aux effectifs obtenues
2 Donner l'étendue de cette serie
3 Donner la fréquence moyenne.

Step-by-step explanation:

Calculating the discount is easy. For example, if an item had a discount of 10% and the original price was $100.

10% is equivalent to 10/100

10/100 multiplied by 100 (original) is 10

The discount would be $10 off

Hope this helped

A right angle = 90 degrees

A round angle = 360 degrees

1. 3 x 90 = 270 degrees

2. 4 x 90 = 360 degrees

3. 1 1/2 x 90 = 135 degrees

4. 2 1/3 x 90 = 210 degrees

5. 2/9 x 360 = 80 degrees

6. 3 3/8 x 360 = 1,215 degrees

1. The exponential form of the equation \(log_{x} 4 = - 2\) will be;

⇒ x⁻² = 4

2. The value of √e⁷/e⁵ will be;

⇒ e

3. The equivalent expression of 3 will be;

⇒ ln e³

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

1. The expression is the equation \(log_{x} 4 = - 2\).

2. The equation is √e⁷/e⁵.

3. The number is 3.

Now,

The exponential form of the equation \(log_{x} 4 = - 2\) is calculated as;

\(log_{x} 4 = - 2\)

By the definition of logarithmic, we get;

4 = x⁻²

Hence, The exponential form of the equation \(log_{x} 4 = - 2\) will be;

⇒ x⁻² = 4

2. The equation is √e⁷/e⁵.

Solve as;

√e⁷/e⁵ = √ e ⁷ ⁻ ⁵

           = √ e²

           = e

Thus,  The value of √e⁷/e⁵ will be;

⇒ e

3. Since, by the definition of logarithmic;

\(ln_{e} e = 1\)

So, By option 1;

\(ln_{e} e^3\) = \(1 * 3\) = \(3\)

Thus, The equivalent expression of 3 will be;

⇒ ln e³

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FALSE, it is not the mean but the median of a distribution which is defined as the data value where 50% of the data is above and 50% is below.

The median denotes the point at which 50% of data values are higher and 50% are lower. As a result, it is the data's midpoint. In a symmetrical distribution, the median is always the midpoint, resulting in a mirror image with the median in the center.

The median is the number in the middle of a sorted, ascending or descending list of numbers, and it might be more descriptive of the data set than the average.

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Answer: The number of inches in 1225 miles is \(7.763\times 10^7\)

Step-by-step explanation:

Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.

Example: 3000 is written as \(3.0\times 10^3\)

Given : \(1.578\times 10^{-5}\) miles = 1 inch

Thus 1 mile = \(\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5\) inches

1225 miles = \(\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7\) inches

The correct option is A) 9∕8, evaluating the exponent expression with a = -2 and b = 3, we find that the value is -8.

We are given the expression a^b, where a = -2 and b = 3. Substituting these values into the expression, we have (-2)^3.

To evaluate this expression, we raise -2 to the power of 3. When we raise a negative number to an odd power, the result will be a negative number.

So, (-2)^3 will yield a negative value.

Calculating (-2)^3, we multiply -2 by itself three times: (-2) × (-2) × (-2). This equals -8.

Therefore, the correct option is A) 9∕8 and the value of the exponent expression (-2)^3 is -8.

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The function that represents the equation in table A is: f(x) = 6x + 15

The function that represents the equation in table B is: g(x) = -2x + 7

The formula to find the linear equation between two coordinates is expressed by the formula:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

For table A, we are going to use two coordinates namely:

(0, 15) and (1, 21) and we have:

(y - 15)/(x - 0) = (21 - 15)/(1 - 0)

(y - 15)/x = 6

y - 15 = 6x

y = 6x + 15

For table B, we are going to use two coordinates namely:

(0, 7) and (1, 5)

Thus:

(y - 7)/(x - 0) = (5 - 7)/(1 - 0)

y - 7 = -2x

y = -2x + 7

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Hello User,

Answer/Step:

1 mile = 5280 ft...so 90 miles = 90 * 5280 = 475200 ft

60 seconds in 1 minute...and 60 minutes in 1 hr = 60 * 60 = 3600 sec/hr

475200/3600 = 132 ft per second...so 90 miles per hr = 132 ft per second.

so the pitcher on the Robins throws faster at 132 ft/sec compared to the Bluebirds pitcher who throws at 121 ft/sec

Answer:

it is c

Step-by-step explanation:

The mixed number in simplest form that represents 2.63 repeating is 25/11

To convert 2.63 repeating to a mixed number in simplest form, we can follow the steps below:

1: Let x be the decimal part of 2.63 repeating. To convert this to a fraction, we write it as an infinite geometric series: x = 0.63 + 0.0063 + 0.000063 + ...

This series has a common ratio of 0.01, so we can use the formula for the sum of an infinite geometric series:

S = a/(1 - r), where a is the first term and r is the common ratio.

Applying this formula, we get: x = 0.63/(1 - 0.01) = 0.63/0.99.

2: Simplify the fraction 0.63/0.99 by dividing both numerator and denominator by the greatest common factor, which is 0.03: 0.63/0.99 = 21/33 = 7/11.

3: Add the whole number part, which is 2, to the fraction we found in Step 2: 2 + 7/11 = 25/11. This is the mixed number in simplest form that represents 2.63 repeating.

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Andrea earns a total of $48 for washing 6 cars at the rate.

By using the cross multiplication approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.

Using the cross multiplication method, we may determine the answer to a pair of linear equations. Using the mathematical rule of three, we may determine the answer based on proportions. The best illustration is cross multiplication, where we can write in a proportion to determine the values of unknown variables.

Given that,

$32 = 4 cars

$x = 6 cars

Using the method of cross multiplication:

x = 32(6) / 4

x = $48

Hence, Andrea earns a total of $48 for washing 6 cars at the rate.

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Using Algebraic expression solution ,

The cost of three hats is $18 .

We have given that,

A hat company charge for design fee $4 per hat .

i.e design fee of one hat = $4

total cost of 5 hats = $30

let the cost of one hat without design fee be $x and total cost of one hat is $(x+4) .

using the above statement, we get an algebraic expression,

5( x+ 4)= 30

we solve the above algebra expression,

=> 5x + 20 = 30

=> 5x = 10

=> x = 2

so, cost of a hat without design fee is $2

and total cost of one hat is $6.

we have to calculate cost of 3 hats .

cost of one hat in hat company= $ 6

cost of three hats in hat company= $(6×3)

= $18

Hence, the total cost of 3 hats is $18.

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Answer:

above sea level

Step-by-step explanation:

Hello!

2 + 3 = 10

8 + 4= 96

7 + 2 = 63

6 + 5 = 66

9 + 5= ???​

The expression is:

a² + ab

2² + 2*3 = 10

8² + 8*4 = 96

7² + 7*2 = 63

6² + 6*5 = 66

9² + 9*5 = 126

the answer is 126

Answer:

9+5=126

Step-by-step explanation:

We can use the expression:

\(a^2+ab=___\)

to solve for this.

We are given:

9+5=x

\(a^2+ab\), with a being 9 and b being 5

\(9^2+9(5)\\=81+45\\=126\)

We can check this with another one of the given problems:

\(a^2+ab\\8^2+8(4)=\\64+32\\=96\)

This makes the expression \(a^2+ab\) a legit expression.

The answer to 9+5 = 126.

Hope this helps! :)

The best prediction would be that Jeremy will roll a number greater than 444 approximately one third of the time. This would be approximately 605360600 times.

The study of random events is the focus of probability theory, a subfield of mathematics. It is impossible to predict the outcome of a random event before it happens, although it could take any of numerous different forms. It is believed that chance played a role in how things turned out.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

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Answer:

22

Step-by-step explanation:

You add up the value of each X and you get a final answer of 22. Have a great day!

By assuming that both tests measure the same kind of ability, Bob did better in terms of the standardized Z-score.

We have provide a data about two major math's tests.

First Major test : SAT math score normally distributed with

Mean , μ = 516 and

Standard deviations, σ = 115

Second Major test: ACT math score normally distributed with

Mean, μ = 22

Standard deviations, σ = 5

Anna scores in SAT test 650

i.e x = 650

Using Z-Score formula,

Z = (x - μ)/σ

Z = (650 - 516)/115 = 154/115 = 1.17

Also, Bob score on ACT math test is 29 i.e x = 29

Z-Score = (x - μ)/σ

=> Z = (29 - 22)/5 = 7/5

=> Z = 1.4

Since, Z-Score for Bob's ACT math test is high as compared to Anna's SAT math test.

So, Bob did better in terms of the standardized z-score.

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-21 + 28m = 8m + 19

20m = 40

m = 2

Answer:

Bernoulli Random Variable

A random variable that can only take on the values 0 and 1 is called a "Bernoulli random variable.

A random variable that can only take on the values 0 and 1 is called a "Bernoulli random variable". The term "Bernoulli" refers to the Swiss mathematician Jacob Bernoulli, who introduced this type of random variable in the early 18th century.

Bernoulli random variables are commonly used in probability theory and statistics to model binary outcomes, such as success/failure, heads/tails, or yes/no responses. A Bernoulli random variable is characterized by a single parameter p, which represents the probability of observing a value of 1 (success) versus 0 (failure). The probability mass function (PMF) of a Bernoulli random variable is given by P(X=1) = p and P(X=0) = 1-p.

Bernoulli random variables are a special case of the binomial distribution, which models the number of successes in a fixed number of independent trials.

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Answer:

D

Step-by-step explanation:

frequency is the students and most of them (10) study 5-6 hours ♡

The solution is, the circumference of the circle with radius 14in. is  87.96 inch.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Perimeter refers to the total outside length of an object,

here, we have,

the radius = r = 14 inch.

we know,

circumference = 2*pi* r

so, calculating we get,

circumference = 87.96 inch.

Hence, The solution is, the circumference of the circle with radius 14in. is  87.96 inch.

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Answer:

a = 24

b = 16

Step-by-step explanation:

b/8 = 2

b = 8*2

b = 16

a - b = 8

a - 16 = 8

a = 8+16

a = 24

check that it's right:

a-b = 8

24-16 = 8

8=8

b/8 = 2

16/8 = 2

2 = 2

so our answers are correct.

have a good day!

Answer:

a+b=40

Step-by-step explanation:

a=24

b=16

a-b=8

24-16=8

16/8=2

24+16=40

The test variable in part 1 of the investigation is the type of fertilizer used, while the responding variable is the growth rate of the plants.

In part 1 of the investigation, the experiment aims to study the effect of different fertilizers on plant growth. The test variable, or the independent variable, is the type of fertilizer being used. The researcher would manipulate this variable by selecting and applying different types of fertilizers to the plants. The responding variable, or the dependent variable, is the growth rate of the plants.

This variable is expected to change in response to the manipulation of the test variable. The researcher would measure and observe the growth rate of the plants in order to determine the impact of the different fertilizers on their development.

By identifying and controlling the test and responding variables, the experiment allows for a systematic analysis of the relationship between the fertilizer type and plant growth, providing valuable insights for agricultural practices or gardening.

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The correct answer choice for the MPC (marginal propensity to consume) when the multiplier is 6 is not provided among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

The MPC is calculated as the ratio of the change in consumption to the change in income. When the multiplier is given, we can derive the MPC using the formula MPC = 1 / (1 + MPC). In this case, the multiplier is stated to be 6.

To find the corresponding MPC, we can solve the equation 1 / (1 + MPC) = 6 for MPC.

Rearranging the equation, we have 1 + MPC = 1 / 6. Subtracting 1 from both sides, we get MPC = 1 / 6 - 1 = -5 / 6.

The result MPC = -5 / 6 implies a negative MPC, which does not align with any of the given answer choices.

Additionally, all the answer choices provided (0.16, 0.83, 0.71, and 0.86) are positive values, further confirming that none of them represents the correct MPC when the multiplier is 6.

Therefore, the correct answer choice for the MPC when the multiplier is 6 is not listed among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

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The area of a regular polygon inscribed in a circle is given by A = (1/2)nr^2sin(2π/n), where n is the number of sides and r is the radius of the circle.

For a square, n = 4, so A(square) = 2r^2.

For a regular octagon, n = 8, so A(octagon) = 2(2+√2)r^2.

The ratio of the areas is:

A(octagon)/A(square) = [2(2+√2)r^2]/(2r^2) = 2+√2 ≈ 3.83

Therefore, the octagon covers approximately 283% more of the circle's area than the square.

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Answer:

50000 + 4000 + 300

Step-by-step explanation:

you don't need to add the extra zeros . you can if you want .

Answer:

N ≤ -7 N > 12

Step-by-step explanation:

The inequality for the given statement is n≤-7 or n>12.

The given statement is a number n is less than or equal to -7 or greater than 12.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values.

Now the inequality for the given statement is n≤-7 or n>12.

Graph for the obtained inequality is plotted, given below.

Therefore, the inequality for the given statement is n≤-7 or n>12.

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