(GIVING BRAINLIEST) The Smith family is building a deck that is 200 square feet in area. What are the
possible lengths and widths the deck could have?

The rule of probability used to find the probability that none of the six independent field joints failed is the multiplication rule of probability

The rule of probability that was likely used to find the probability that none of the six independent field joints failed is the multiplication rule of probability.

The multiplication rule states that the probability of two or more independent events occurring together is the product of their individual probabilities. In this case, if we assume that the probability of each field joint failing is independent of the others, then the probability of none of the six field joints failing is the product of the probabilities of each joint not failing.

If the probability of each field joint not failing is p, then the probability of none of the six joints failing is given by:

P(none fail) = p × p × p × p × p × p = p^6

So, the multiplication rule of probability was used to calculate the probability of none of the six independent field joints failing by multiplying the individual probabilities of each joint not failing.

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The breeder should use a weight of 16.38 grams to ensure that no more than 8% of their boxes will have an average mouse weight below that specified weight.

To determine the weight that meets the breeder's requirement, we need to find the value that corresponds to the 8th percentile of the mouse weight distribution. Since mouse weights are normally distributed with a mean of 22 grams and a standard deviation of 4 grams, we can use the standard normal distribution to find the z-score associated with the 8th percentile.

Using a standard normal distribution table or a statistical software, we can find that the z-score corresponding to the 8th percentile is approximately -1.405. To find the weight, we can use the formula:

weight = average+ (z-score * standard deviation).

Substituting the values, we have weight = 22 + (-1.405 * 4) = 16.38 grams (rounded to two decimal places).

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The solution used to make 40% of salt solution is 12 grams and 70% of salt solution is 8 grams.

Let us consider 'a' represents the 40% of salt in water.

And 'b' represents the 70% of salt in water.

Total salt required to make 52% salt solution = 20 grams

Required equations is :

a + b = 20

⇒ a = 20 - b  ___( 1 )

40% of a + 70% of b = 52% of  20 grams

⇒ 0.40a + 0.70b = 10.4 ___( 2 )

Substitute the value of 'a' in equation ( 2 ) from (1) we get,

0.40( 20 - b ) + 0.70b = 10.4

⇒8 - 0.40b +  0.70b = 10.4

⇒ 0.30b = 10.4 - 8

⇒ b = 2.4 / 0.30

⇒ b = 8

⇒ a = 12

Therefore, the solution used by Serena for 40% is 12 grams and 70% solution is 8 grams.

The above question is incomplete , the complete question is:

Serena is making an experiment. For that, she needs 20 grams of a 52% solution of salt. She has two large bottles of salt water: one with 40% and the other with 70% of salt in them. How much of each must she use to make the solution she needs?

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Answer:

cool im fatter

Step-by-step explanation:

The median of the samples can give an idea of the central tendency of the data and can help in making an inference about the population.

In this case, since the percent of students that bike to school varies from 20% to 50% in the samples, the median of the samples can provide an estimate of the median percent of students who bike to school in the population.

By analyzing the median of the samples, it may be possible to make an inference about the central tendency of the population, which could inform decisions about encouraging or improving biking to school.

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--The given question is incomplete, the complete question is given

"  a group of friends wants to know how many students bike to school. Survey Results In the samples, the percent of students that bike to school varies from 20% to 50% 19 20 21 22 14 15 16 17 18 Number of Students that Bike to School How can the median of the samples help you make an inference about the population? "--

The slope of the new line is -3/5.

The y-intercept of the new line is -16.

The equation of the new line is y= -3/5x -16.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

The line is y= 5/3x +1.

The line has a slope of 5/3. If you multiply the slopes of two perpendicular lines, you get –1. So:

5/3× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (5/3)

slope perpendicular line= -3/5

The slope of the new line is -3/5.

The line passes through the point (-10, 3). Replacing in the expression for perpendicular line:

-10= -3/5× (-10) + b

-10= 6 + b

-10 - 6= b

-16= b

The y-intercept of the new line is -16.

Finally, the equation of the perpendicular line is y= -3/5x -16.

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Answer:

37.68cm

Step-by-step explanation:

C=2πr=2·π·6

Answer:

the first one is correct

Step-by-step explanation:

Since both lines have the same slope of 3/4, they are parallel.

In geometry, a line is a straight one-dimensional figure that has no thickness and extends infinitely in both directions. It is often represented by a straight line with two arrowheads indicating its infinite extent in both directions. A line is defined by two points, and any two distinct points on a plane define a unique line. The slope and y-intercept of a line can be used to write an equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Here,

To determine if lines EG and GH are parallel, perpendicular, or neither, we need to calculate the slope of each line. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

m = (y2 - y1) / (x2 - x1)

For line EF, the two points are (-2, 3) and (2, 6), so the slope is:

mEF = (6 - 3) / (2 - (-2))

= 3 / 4

For line GH, the two points are (-1, 0) and (3, 3), so the slope is:

mGH = (3 - 0) / (3 - (-1))

= 3 / 4

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Answer: 975

Step-by-step explanation: hope this helped!

Answer:

975

Step-by-step explanation:

Create a proportion. Set 75 over 100 equal to x over 1300. Cross multiply to get 75x1300 = 100x. This will get you 97500 equal to 100x. Divide each side by 100 to get x = 975

Answer:

Sides: 20m

Area: 400m²

Step-by-step explanation:

80/4 = 20 for sides

20x20 = 400 for area

Answer: side= 20m  area=400sqm

Step-by-step explanation:

a square has 4 sides so to find 1 side divide by 4= 20m

area of a square is sidexside = 20mx20m= 400sqm

Answer:

19/7

Step-by-step explanation:

7 18/49 = 361/49 = √361/√49 = 19×19/7×7 = 19/7

Square root of 7 18/49 is 19/7

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer: IQR = 16

Step-by-step explanation:

Given the following data:

Cost of concert :

CITY : Q, R, S, T, U, V, W, X, Y, Z

Price : 35,36,42,38, 24,29,25, 44,49, 26

Interquartile range (IQR) = Q3 - Q1

Where,

Q3 = the upper quartile

Q1 = lower quartile

Rearranging the data:

24,25,26,29,35,36,38,42,44,49

Q3 = 42

Q1 = 26

IQR = (42 - 26) = 16

Answer:

18 (for the IQR)

Step-by-step explanation:

Well, follow the equation the other person did. You'd get the right answer if you do the stuff right. And for people where it has another part to it, the answer would be D.

I hope this helps :)

The correct statement is: double d = 123456789

In the given statements:

1. int i = 3.0; - This is incorrect because a decimal value (3.0) cannot be assigned directly to an integer variable. It should be assigned to a floating-point type variable instead.

2. float f = 4.5; - This is correct as a floating-point value (4.5) can be assigned to a float variable.

3. byte b = 123456789; - This is incorrect because the value 123456789 is outside the range of a byte (-128 to 127). It should be assigned to a data type with a larger range, such as into or long.

4. double d = 123456789; - This is correct as the value 123456789 can be assigned to a double variable.

5. boolean b = 1; - This is incorrect because the value 1 cannot be directly assigned to a boolean variable. It should be assigned with either true or false.

Among the given statements, the correct one is "double d = 123456789;", as it assigns the value 123456789 to a double variable.

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Answer:

1/19

Step-by-step explanation:

Can you please mark my answer as a Brainliest.

Thanks

Answer:

1/19

Step-by-step explanation:.......the final answer 1/19

plz mark me as brainlist and give me points

Answer:

EA-Sports it's in the game

The set of numbers that represent the sides of a triangle obtained using the triangle inequality theorem are;

The triangle inequality theorem in Euclidean geometry states that the sum of the lengths of two of the sides is larger the length of the third side.

Let a, b, and c represent the lengths of the three sides of a triangle, according to the triangle inequality theorem, we get;

a + b > c

Therefore;

1. {9, 11, 16}

9 + 11 = 20 > 16, Yes, the set of numbers could represent the sides of a triangle

2. {12, 7, 20}

12 + 7 = 19 < 20, No, the set of numbers can not represent the sides of a triangle

3. {13, 9, 6}

9 + 6 = 15 > 13, Yes the set of numbers could represent the sides of a triangle

4. {25, 50, 75}

25 + 50 = 75 \(\ngtr\) 75, No, the number set can not represent the sides of a triangle

5. {14, 14, 14}

14 + 14 = 28 ≥ 14, Yes the set of numbers could represent the sides of an equilateral triangle

6. {4.5, 7.3, 2.8}

4.5 + 2.8 = 7.3 \(\ngtr\) 7.3  No, the set of numbers can not represent the sides of a triangle

7. {15, 6, 9}

9 + 6 = 15 \(\ngtr\) 15, No, the set of numbers can not represent the sides of a triangle

8. {10.5, 4.5, 6.5}

4.5 + 6.5 = 11 > 10.5, Yes the set of numbers could represent the sides of an equilateral triangle

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The measure of ∠JMK =52° and ∠KML = 38°.

Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.

To Prove:  is a right angle.

Proof:

Statements  Reasons

1. m∠JMK = 52°                  Given

2. m∠KML = 38°                  Given

3. m∠JMK + m∠KML = m∠JML

The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.

4. 52° + 38° =m∠JML            Substitution property of equality

5. 90° = m∠JML                    Simplification

6. ∠JML is a right angle.      Definition of right angle

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A possible value for g(6) is 27. The only option greater than 18 is:

e. 27

To determine a possible value for g(6), we can make use of the given information and the properties of the function g(x).

Since g'(x) > 0 for all real numbers x, we know that g(x) is strictly increasing. This means that as x increases, g(x) will also increase.

Furthermore, since g''(x) > 0 for all real numbers x, we know that g(x) is a concave up function. This implies that the rate at which g(x) increases is increasing as well.

Given that g(4) = 12 and g(5) = 18, we can conclude that between x = 4 and x = 5, the function g(x) increased from 12 to 18.

Considering the properties of g(x), we can deduce that g(6) must be greater than 18. Since the function is strictly increasing and concave up, the increase from g(5) to g(6) will be even greater than the increase from g(4) to g(5).

Among the given answer choices, the only option greater than 18 is:

e. 27

Therefore, a possible value for g(6) is 27.

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To perform saturating arithmetic on unsigned 8-bit integers, we need to ensure that the result remains within the valid range of 0 to 255.

To calculate the sum of 151 and 214 using saturating arithmetic, follow these steps:

Add the two numbers:

151 + 214 = 365

Check if the result exceeds the maximum value of an 8-bit unsigned integer (255).

Since 365 is greater than 255, we need to saturate the result.

Set the result to the maximum value (255) to ensure it remains within the valid range.

Therefore, the result of 151 + 214 using saturating arithmetic is 255.

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In a  given figure ,the area of the shaded part is 239.4 sq ft.

A parallelogram is a four-sided polygon in which opposite sides are parallel and equal in length. This means that the opposite sides of a parallelogram are parallel and that the opposite sides have the same length. In addition, the opposite angles of a parallelogram are equal in measure.

The area A of a parallelogram is given by the formula:

A = bh

where b is the length of the base of the parallelogram and h is the height (perpendicular distance) from the base to the opposite side.

The perimeter P of a parallelogram is given by the formula:

P = 2(l + w)

where l and w are the lengths of the two adjacent sides.

Some common examples of parallelograms in everyday life include rectangular mirrors, windows, and picture frames. Parallelograms are used in mathematics, engineering, and physics to model real-world situations, such as the forces acting on a block that is being pushed up an incline, or the motion of a satellite in orbit around the Earth.

The base of the figure is 23.8 ft
The height of the figure is 15 ft

Consider the figure as a parallelogram

Area of shaded region= A= A₁ - A₂

where,

A= area of shaded region

A₁= area of parallelogram

A₂= area of triangles

The area of triangle A₂= \(\frac{1}{2} *base*height\)
The area of parallelogram = base * height

By Pythagorean theorem,

Hypotenuse²= Base² + Height²

Base= 21, hypotenuse= 23.8

Height²= 23.8² + 21²

Height= √(566.44 - 441)

Height= 11.2

∴ Area of parallelogram = A₁ = (23.8)(15) sq ft= 357 sq ft

Area of triangle =  A₂  = \(\frac{1}{2} * 11.2 * 21\)= 117.6 sq ft

So,

The area of shaded part = 357- 117.6 = 239.4 sq ft

Hence,

The area of the shaded part is 239.4 sq ft.

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Answer:

65

Step-by-step explanation:

FCJCFHCYJHCJ=09

HYVFYTRYTRYTRYTRYTRHUVF08=887U#]]]]]]]]]]]]]]]]]

X=9

Answer:

16

Step-by-step explanation:

For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.

The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.

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Answer:

Choice D. \(F(x)=x^2-4\)

Step-by-step explanation:

Answer:

Min: 32

Lower Quartile: 36

Median: 42

Upper Quartile: 47

Max: 53

Interquartile: 11

Step-by-step explanation:

The min. is just the lowest number.  The lower quartile is the number in the middle of the numbers below 42, the median is the number in the very middle, the upper quartile is the middle number above 41 and the interquartile is the upper quartile minus the lower quartile.  

From the question;

we are to state the three reasons why a function might be discontinuous at the point x=c

A funtion f(x) is discontinuous at a point x = c if

1.

2.

3.

If all this condition are statisfied, then the function is discontinuous at x = c

Required sum of the other two numbers is 15.

What is average?

In mathematics, the average is a measure that represents the typical value of a set of numbers. It is calculated by adding up all the numbers in the set and then dividing by the total number of values in the set. The average is also known as the arithmetic mean.

Here we can let the two unknown numbers that we need to find "x" and "y".

We know that the average of 5 numbers is 9, so the sum of those 5 numbers is (5 x 9) = 45

We also know that the sum of three of those numbers is 30. So, we can write an equation:

x + y + z = 30 where "z" represents the sum of the other two numbers.

We can solve for "z" by subtracting x and y from both sides:

z = 30 - x - y

We also know that the sum of all 5 numbers is 45, so we can write another equation:

x + y + z + w + v = 45

where "w" and "v" represent the other two numbers.

We can solve for "w + v" by substituting the expression we found for "z" into this equation:

x + y + (30 - x - y) + w + v = 45

Simplifying this equation, we get:

w + v = 15

So, the sum of the other two numbers is 15.

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The annual growth rate is 23.81%

The annual growth rate is the percentage increase of the production or an investment over a year. It's the annualized growth rate of the output.The formula for the annual growth rate is given as:

Annual Growth Rate = (1 + r)^(1 / n) - 1

Where,‘r’ is the growth rate, and‘n’ is the number of periods considered.

The percentage increase in the output over seven years is given as 21.6%.

The annual growth rate can be calculated as:

(1 + r)^(1 / n) - 1 = 21.6 / 7Or (1 + r)^(1 / 7) - 1 = 0.031

Therefore, (1 + r)^(1 / 7) = 1 + 0.031r = [(1 + 0.031)^(7)] - 1 = 0.2381

The annual growth rate is 23.81% (approx) in percent terms.

Therefore, the answer is "The annualized growth rate is 23.81%."

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Answer:

√12 is between 3 and 4.

Explanation

The number \(\sqrt{12}\) is an irrational number that is between 3 and 4.

The given number is \(\sqrt{12}\)

The irrational number is such a number that cannot be expressed in the form of p/q, and are nonterminating and non-repeating.

The number 12 is an irrational number since its value, 3.4641016, has no repeating or ending digits after the decimal, and it cannot be represented as a fraction.

The value  \(\sqrt{12}\) is 3.464101

So, the value \(\sqrt{12}\) is between 3 and 4.

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