Why we need to clean the measuring instrument before and after use?

Answer:

I guess that the table is:

September (1 1/8) in

October (3 3/8) in

November (1 5/8) in

December (1 1/8) in.

1) by the end of October, the iguana has grown:

D = (1 1/8)in + (1 5/8)in + (3 3/8)in = 5in + (1/8 + 3/8 + 5/8) = (6 1/8) in.

2) How many inches had the blue iguana grown by the end of December?

Here we add the other (1 1/8)in to the number that we find above:

(6 1/8)in + (1 1/8)in = 7in + (1/8 + 1/8)in = (7 2/8)in

3) the iguana is 3 inches long at the end of September, then at the end of Agust, the length of the iguana is x = 3in minus the amount that it grows in December:

X = 3cm - (1 1/8)in = (1 7/8)in

Population proportion: The proportion of people aged under 40 who have savings accounts is the population proportion. This can be calculated as follows:Population proportion = (number of savings accounts belonging to people under 40) / (total number of savings accounts).

Population proportion = 4675/13500Population proportion = 0.3463 (rounded to four decimal places)Mean and standard deviation of the sampling distributionFor a given sample size, the mean and standard deviation of the sampling distribution can be calculated as follows:

Mean of sampling distribution = population proportionStandard deviation of sampling distribution = sqrt[(population proportion * (1 - population proportion)) / n]where n is the sample size.For this question, the sample size is not given, so we cannot calculate the mean and standard deviation of the sampling distribution.

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Answer:

D. -2/25

Step-by-step explanation:

Answer:

Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.

Step-by-step explanation:

Boba Club: y=2x+4

Jack's Boba: y=3x

Replace the X variable with 7 for both equations. For Boba Club, multiply 2 by seven to get 14, then add four to get 18. For Jack's Boba, multiply 3 and 7 to get 21. Boba Club is cheaper. (What would you need 7 Boba drinks for though?)

Answer:

Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.

Step-by-step explanation:

Twο pοints (8,8) and (-2,6) are the set οf the equatiοn  \(y < \frac{3}{4} x+6\\\) οf the graph \(y = \frac{3}{4} x+6\).

Graph, a diagram that shοws hοw a variable varies in relatiοn tο οne οr mοre οther variables (such as a cοllectiοn οf pοints, lines, line segments, curves, οr regiοns).

Nοw we have tο find the value οf the equatiοn i.e. \(y < \frac{3}{4} x+6\\\),

(x, y) = (8,8) , we get 8 < 12 , First pοint

(x, y) = (-4,3) , we get 3 = 3 , Nο match

(x, y) = (6,-2) , we get -2 < 10.5 , Secοnd Pοint

(x, y) = (0, 8) , we get 8 > 6 , Nο Match

(x, y) = (-9,2) , we get 2>-0.75 , Nο Match

Sο, we get οur pοints, which are pοints (8,8) and (-2,6) fοr the equatiοn \(y < \frac{3}{4} x+6\\\).

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Answer:  0.10

Step-by-step explanation:

because u said that the bat was 1.00 more than the ball so the ball would be 0.10

Answer:

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

The probability of rolling an even number on a single die is 3/6 or 1/2.

Consider the possible outcomes of rolling the two dice:

So, the only way to not have an even product is if both dice are odd.

The probability of rolling an odd number on a single die is also 1/2, so the probability of rolling two odd numbers is (1/2) x (1/2) = 1/4.

Therefore, the probability of rolling an even product is:

For given survey of 62 customers was taken at a bookstore regarding the types of books purchased,

a) The number of customers surveyed who purchased only science fiction = 9

b) The number of customers surveyed who purchased mysteries and science fiction, but not romance novels = 13

c) The number of customers surveyed who purchased mysteries or science fiction = 51

d) The number of customers surveyed who purchased mysteries or science fiction, but not romance novels = 46

e) The number of customers surveyed who purchased exactly two types of books = 2

In this question,

we have been given a survey of 62 customers was taken at a bookstore regarding the types of books purchased.

38 customers purchased mysteries,

31 purchased science fiction,

21 purchased romance novels,

18 purchased mysteries and science fiction,

12 purchased mysteries and romance novels,

9 purchased science fiction and romance novels,

and 5 purchased all three types of books.

Let S represents the set of customers who purchased science fiction books,

R represents the set of customers who purchased romance novels books and

M represents the set of customers who purchased mysteries books.

From given information,

n(S) = 31

n(R) = 21

n(M) = 38

n(M ∩ S) = 18

n(M ∩ R) = 12

n(S ∩ R) = 9

n(M ∩ R ∩ S) = 5

a) we need to find the number of customers surveyed who purchased only science fiction.

= n(S) - n(M ∩ S) - n(S ∩ R) - n(M ∩ R ∩ S)

= 31 - (18 - 5) - (9 - 5) - 5

= 31 - 13 - 4 - 5

= 9

b)  we need to find the number of customers surveyed who purchased mysteries and science fiction, but not romance novels

= n(M ∩ S) - n(M ∩ R ∩ S)

= 18 - 5

= 13

c) we need to find the number of customers surveyed who purchased mysteries or science fiction

n(M ∪ S) = n(M) + n(S) - n(M ∩ S)

              = 38 + 31 - 18

              = 51

d) we need to find the number of customers surveyed who purchased mysteries or science fiction, but not romance novels

= n(M ∪ S) - n(M ∩ R ∩ S)

= 51 - 5

= 46

e)  we need to find the number of customers surveyed who purchased exactly two types of books

=  n(M ∩ S) - n(S ∩ R) - n(M ∩ R)

= (18 - 5) - (9 - 5) - (12 - 5)

= 13 - 4 - 7

= 2

Therefore, for given survey of 62 customers was taken at a bookstore regarding the types of books purchased,

a) The number of customers surveyed who purchased only science fiction = 9

b) The number of customers surveyed who purchased mysteries and science fiction, but not romance novels = 13

c) The number of customers surveyed who purchased mysteries or science fiction = 51

d) The number of customers surveyed who purchased mysteries or science fiction, but not romance novels = 46

e) The number of customers surveyed who purchased exactly two types of books = 2

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Answer: 40:56 = 5:7

Step-by-step explanation: sorry if wrong

The Mean Absolute Deviation over Months 3-6 is 5.

Correct answer is option C) 5

To calculate the Mean Absolute Deviation (MAD) over Months 3-6, we need to follow these steps:

Identify the errors for Months 3-6: The errors for Months 3-6 are 3, -5, 4, and -8.

Calculate the absolute value of each error: Taking the absolute value of each error gives us 3, 5, 4, and 8.

Find the sum of the absolute errors: Add up the absolute errors: \(3 + 5 + 4 + 8 = 20.\)

Divide the sum by the number of errors: Since there are 4 errors, we divide the sum (20) by 4 to get the average: 20/4 = 5.

Determine the Mean Absolute Deviation: The MAD is the average of the absolute errors, which is 5.

Therefore, the Mean Absolute Deviation over Months 3-6 is 5.

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Answer:  Point V's coordinates would be (9, -8)

The  values of for which the rocket's height is 29 meters are 0.75 and -0.67.

The rocket's height h (in meters) after t seconds is given by the following.

h=57t-5t^2

Then the equation after the height is 29 meters was given will be

\(h=57t-5t^2\)

29=57t-5t^2

then we will have  \(57t-5t^2-29=0\)

Then this is a quadratic equation, which can be solved, to find t, then after using the quadratic formular the values of t are:

0.75 and -0.67

Then we can chose 0.75 seconds

Therefore, from the question, we can see that after the quadratic equation has been performed  0.75 and -0.67 serves as the values for the height of 29 metres.

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Here, limit as x approaches infinity of a sub n over b sub n equals 3.14159. The statement that is true is a converges by the limit comparison test if b_n converges. What is the limit comparison test? The limit comparison test is a convergence or divergence test for a positive series of numbers that can be compared to another series of numbers.

It states that if a_n and b_n are two positive terms in a series, and if lim (n→∞) a_n / b_n = c, where c is a positive constant, then the two series converge or diverge together. The statement a converges by the limit comparison test if bn converges is true, as if a_n/b_n = 3.14159, and if b_n is converging, then a_n also converges. Hence, the limit comparison test tells us that if b_n converges, then an also converges. Therefore, we can say that the given statement is true. So, the correct option is a_n converges by the limit comparison test if b_n converges.

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The components of the vector with initial point (7,−6) and a terminal point at (6,−3) are:

The components of a vector are the vectors that makes up the resultant as described in the problem to have starting point (7,−6) and terminal point (6,−3).

This can be gotten by plotting these points and getting the coordinates of the points that makes the initial point and the terminal point the hypotenuse of the triangle

From the graph, the coordinates are:

component 1: (6, -6) to (3, -6)

component 2: (7, -6) to (6, -6)

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Except than x = 1, all real numbers fall within the function's domain.

Since there are no limitations on what we can substitute for x, the domain of a function, f(x), is all real numbers because any real numbers would make f(x) a defined function. As a result, when this is not the case, the domain of a function, f(x), is not all real numbers.

The rational function r(x) = 2x/(x-1) is defined as follows.

So, we set the denominator to zero and solve for x in order to determine the domain of r(x):

x - 1 = 0

x = 1

Hence, x = 1 is the only value of x that causes the denominator to equal 0. R(x) therefore has a domain of all real numbers other than x = 1.

We can express the domain as follows in interval notation:

(-∞, 1) U (1, ∞)

Except than x = 1, all real numbers fall within the function's domain.

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Question:

Which of the following correctly describes the domain of the function shown below?

r(x) = 2x x-1

A. {x:x0}

B. {x: x = 1}

c. x all .real .numbers}

D. xx1}

Answer:

Carbon

Step-by-step explanation:

Carbon usually exist as single Carbon atoms. Salt consists of Sodium and Chlorine stoms and air is a mixture of gases so it consists of many atoms

Answer:

x = 9

Step-by-step explanation:

10 + x/3 = 13

x/3 = 13 -10

x/3 = 3

x = 3*3 = 9

Answer:

9

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 10 from both sides of the equation:

\(\frac{x}{3} + 10 = 13\\\\\frac{x}{3} + 10 (-10) = 13 (-10)\\\\\\\frac{x}{3} = 13 - 10\\\\\\\frac{x}{3} = 3\)

Next, isolate the variable, x, by multiplying 3 to both sides of the equations:

\((\frac{x}{3}) * 3= (3) * 3\\\\x = 3 * 3\\\\x = 9\)

~

The volume of the solid is equal to V = π∫ab22dx.

To find the volume of the solid whose base is bounded by the equation x2 + y2 = 4 with semicircle cross sections taken perpendicular to the x-axis, use the formula V = π∫abr2dx, where 'r' is the radius of the semicircle cross sections.

Since the equation of the base is bounded by x2 + y2 = 4, the radius of the semicircle cross sections is equal to r = 2.

Therefore, the volume of the solid is equal to V = π∫ab22dx.

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Answer:

The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.

They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).

Answer:

Step-by-step explanation:

\(3x^2 + 12x + 6 = 0\\\\a=3\,,\ b=12\,,\ c=6\\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-12\pm\sqrt{12^2-4\cdot3\cdot6}}{2\cdot3}=\dfrac{-12\pm\sqrt{144-72}}{2\cdot3}=\dfrac{-12\pm\sqrt{72}}{2\cdot3}=\dfrac{-12\pm6\sqrt{2}}{6}\\\\x_1=\dfrac{6(-2+\sqrt{2})}{6}=-2+\sqrt2\\\\x_2=\dfrac{6(-2-\sqrt{2})}{6}=-2-\sqrt2\)

Given:

The sum of 85 + w is less than or equal to 6 multiplied by y.

To find:

The inequality for the given situation.

Solution:

We know that,

The sum of 85 and w means "85+w".

Less than or equal means "≤".

6 multiplied by y means "6y".

So, the inequality for the statement "the sum of 85 + w is less than or equal to 6 multiplied by y", is:

\(85+w\leq 6y\)

Therefore, the correct option is A.

Answer:

-1/3

Step-by-step explanation:

its rise over run.

u rise 2, and run 6 and its a negative slope

when you simplify its then -1/3

Answer:

\(m = -\frac{1}{3}\)

Step-by-step explanation:

Using the slope formula:

            y2 – y1

m   =   --------------

            x2 – x1

Plug in any two points that the line passes through:

In this case, (2, 0) and (–1, 1).

              1 – 0

m   =   --------------

            –1 – 2

                 1

m   =   --------------

               –3

Answer: d(n)=170-85(n-1)

Step-by-step explanation: Khan Academy

Answer:

It's all black you uploaded the wrong picture but parallelograms are:

The answer of a. P(X = 1) ≈ 0.0566, b. P(X < 1) ≈ 0.0698, c. P(X > 1) ≈ 0.9302 and d. P(X ≥ 1) ≈ 0.9302

The given problem states that we have a Poisson distribution with λ = 4.3. We need to find the probabilities for different values of X.

a. P(X = 1):
To find this probability, we will use the Poisson probability formula:
P(X = k) = (e^(-λ) * λ^k) / k!
Substituting λ = 4.3 and k = 1 into the formula, we get:
P(X = 1) = \((e^(-4.3) * 4.3^1)\) / 1!
P(X = 1) = (0.0132 * 4.3) / 1
P(X = 1) ≈ 0.0566 (rounded to four decimal places)

b. P(X < 1):
To find this probability, we need to calculate the sum of probabilities for X = 0 and X = 1.
P(X < 1) = P(X = 0) + P(X = 1)
To calculate P(X = 0), we can use the Poisson probability formula with k = 0:
P(X = 0) =\((e^(-4.3) * 4.3^0)\)/ 0!
P(X = 0) ≈ 0.0132 (rounded to four decimal places)
Adding this to the probability calculated in part a, we get:
P(X < 1) ≈ 0.0132 + 0.0566 ≈ 0.0698

c. P(X > 1):
To find this probability, we need to calculate the sum of probabilities for X > 1. Since the Poisson distribution is infinite, we can use the complement rule to find this probability:
P(X > 1) = 1 - P(X ≤ 1)
Using the probabilities calculated in parts a and b, we get:
P(X > 1) = 1 - P(X = 0) - P(X = 1)
P(X > 1) = 1 - 0.0132 - 0.0566
P(X > 1) ≈ 0.9302

d. P(X ≥ 1):
To find this probability, we can use the complement rule again:
P(X ≥ 1) = 1 - P(X < 1)
Using the probability calculated in part b, we get:
P(X ≥ 1) = 1 - P(X = 0) - P(X = 1)
P(X ≥ 1) = 1 - 0.0132 - 0.0566
P(X ≥ 1) ≈ 0.9302

In summary:
a. P(X = 1) ≈ 0.0566
b. P(X < 1) ≈ 0.0698
c. P(X > 1) ≈ 0.9302
d. P(X ≥ 1) ≈ 0.9302

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Answer: y=4x-7

Step-by-step explanation:

The probability of the poorly thrown dart hitting the target is 0.007.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

The diameter of the dartboard = 24 inches. The diameter of the target is 2 inches, the radius of the target, r = 1 inch.Radius of the dartboard, R = 12 inches.

From the above details, Area of the dartboard = π R² = π (12)² = 144π sq.inches. Area of the bull's eye = π r² = π (1)² = π sq.inches. Probability of hitting the bull's eye = Area of the bull's eye/Area of the dartboard= π/144π= 1/144= 0.0069444444Rounded off to three significant digits, the probability of hitting the target is 0.00695 or 0.007 (rounded up).Hence, the probability of the poorly thrown dart hitting the target is 0.007.

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A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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The ratio of the number of red pens to the number of green pens is 3:2.

A ratio is a way of comparing two or more quantities. It is a mathematical expression that shows the relationship between two or more numbers in terms of their size. A ratio can be written in different ways, but most commonly as a fraction, such as 3/4 or as a colon-separated fraction such as 3:4.

To find the ratio of the number of red pens to the number of green pens, you can use the following method:

1. Start by expressing the ratio of red pens to blue pens as a fraction: 5/2 (red pens) / 2/2 (blue pens) = 5/2

2. Next, express the ratio of blue pens to green pens as a fraction: 3/5 (blue pens) / 5/5 (green pens) = 3/5

3. Multiply the first fraction by the second fraction to find the ratio of red pens to green pens: (5/2) x (3/5) = 15/10, which simplifies to 3/2

So, the ratio of the number of red pens to the number of green pens is 3:2. This means for every 3 red pens, there are 2 green pens.

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