The area of a square Park and a rectangular park is the same. The side length of the square Park is 60m and the length of the rectangular park is 90m. What is the breadth of the rectangular park?

Answer:

Step-by-step explanation:

Dot Plot A:

.........

..........

In Dot Plot A, the data points are evenly distributed on both sides of the median, creating a roughly symmetric distribution.

Dot Plot B:

...........

.....

In Dot Plot B, the data points are not symmetrically distributed around the median. The left side has more data points than the right side, resulting in an asymmetric distribution.

Please note that the actual values of the data points are not provided, as the focus is on the distribution and symmetry.

The solution to the inequality expression is x > 1/6

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

–2(8x – 4) < 2x + 5

Open the brackets

So, we have

-16x + 8 < 2x + 5

Evaluate the like terms

-18x < -3

Divide both sides by -18

x > 1/6

Hence, the solution is x > 1/6

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GCH 1640.00......pls follow me and mark brainliest

Step-by-step explanation:

fall in price will be

20/100 × 1800.00

= 20 × 18

= 360.00

...

...

so the cost of selling it at a loss of GHC 360.00

will be 1800-360 = GCH 1640.00

Let s be the submarine and x be the current.

x + s  = 25

x - s = 16

Add the two equations together to get:

2x = 41

Divide both sides by 2:

x = 41/2

x = 20.5

The speed of the submarine is 20.5 knots

The current would be 25 - 20.5 = 4.5 knots.

Answer:

\(speed \: of \: the \: current \: is \to \boxed{4 .5 \: knots }\\ and \: the \\ \: speed \: of \: the \: submarine \: in \: still \: water \: is \: \to \boxed{20.5 \: knots}\)

Step-by-step explanation:

\(if \: submarine \: is \: with \: current \: = 25 \: knots \\ if \: submarine \:is \: against \: current \: = 16\: knots \\ let \: the \: submarine \: speed= \: s_{s} \\ let \: the \: currents \: speed= \: s_{c} \\ \boxed{ \underline{hence }}\to \\ s_{s} + s_{c} = 25........(1)\\ s_{s} - s_{c} = 16........(2) \\ you \: can \: now \: make \: a ny\: of \: the \: variables \: \\ the \: subject \: of \: the \: relation....(lets \: choose \: s_{s} \: in \: eq....1 \: ) \\ s_{s} = 25 - s_{c} .....(3 )\: \\ now \: equate \: it \: into \: eq....(2)\\ \\ (25 - s_{c}) -s_{c} = 16 \\ 2s_{c} = 25 - 16 \\ \boxed{s_{c} = \frac{9}{2 } = 4.5 \: knots} \\ \\ to \: find \: s_{s} \: we \: \: substitute\: s_{c} \: into \: eq...3\\ s_{s} = 25 - s_{c} = 25 - 4.5 \\ \boxed{s_{s} = 20.5 \: knots}\)

♨Rage♨

To find the arc length, we use the formula L = rθ, where r is the radius of the circle, θ is the central angle of the arc in radians, and L is the arc length.

Arc length refers to the distance covered along the curved portion of a circle or any other curved shape. It is an important concept in geometry and trigonometry and is used to measure the size of circular arcs, the size of angles, and in many other mathematical applications.

To find the arc length, we need to use the formula for the circumference of a circle and the central angle of the arc.

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle.

The central angle of the arc is given in radians and is defined as the angle between two radii that meet at the endpoints of the arc.

To find the arc length, we use the formula

=> L = rθ,

where L is the arc length, r is the radius of the circle, and θ is the central angle of the arc in radians.

To convert the central angle from degrees to radians, we use the formula θ = (π/180) x degrees, where degrees are the central angle in degrees.

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The temperature on January 19th would be -8 °F

From the question,

We are to determine what the temperature would be on January 19th

From the given information,

Temperatures can decrease by 20°F per week in the month of January.

On January 12th, the temperature was 12 °F.

January 19th will be a day on the week following the week of January 12th.

Therefore, the temperature would have decreased by 20 °F on January 19th.

The temperature on January 19th would be

12 °F - 20 °F = -8 °F

Hence, the temperature on January 19th would be -8 °F

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C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

0.001 and 1/1000

Step-by-step explanation:

Answer:

length=50m

width=25m

Step-by-step explanation:

perimeter is the distance all round,hence

2(l+w)=2(2x+x)=

4x+2x=6x=150

6x=150x

x=25

l=50m

w=25m

Answer:

Rule: replace x by x - a where a is the number of units that you want to move right. a must be greater than 0. x - - a  would move left.

Step-by-step explanation:

You want f(x) to move 3 units to the right.

That would mean that  x would be replaced by x - 3.  Just to be sure let's try it.

Answer:

Yes

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

m=1*(24+-1*15)/(8+-1*5)  | add 24 to -15

m=1*9/(8+-1*5)  | add 8 to -5

*m=1*9/(8+-5)  | Divide 9 by 3

m=1*3  

Calculate the y-axis intercept b by inserting:

General form of the linear function: f(x)=mx+b

Insert 3 for m, 5 for x and 15 for f(x).

 | Multiply 3 by 5

15=3*5+1*b  | Swap both sides of the equation.

1*b+15=15  | -15

1*b=0  

So, the y-axis intercept is at 0

Therefore, the equation of the function is f(x)=3*x+0

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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By exterior angle property

\(j = 90 + 40\)

\(j = 130\)

Let the integer be X

2x+64=99

2x= 99-64

2x= 34

x=34÷2

X= 17.5

The conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

To show that the argument is invalid using the model universe method, we need to find a counterexample where the premises are true, but the conclusion is false.

Let's consider the following interpretation:

Domain of discourse: {1, 2}

A(x): x is even

B(x): x is odd

Under this interpretation, the premises "(x)(A(x) ∧ B(x))" and "(∃x)A(x)" are true because all elements in the domain satisfy A(x) ∧ B(x), and there exists at least one element (e.g., 2) that satisfies A(x).

However, the conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).

In this counterexample, the premises are true, but the conclusion is false, demonstrating that the argument is invalid using the model universe method.

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Answer:

hey why you delete my answers

We can see here that statement 4 is the first error in this proof. The reason for statement 6 is not correct because the expression should be what we are proofing.

An angle is a geometric figure formed by two rays or line segments that share a common endpoint called the vertex. The rays or line segments are referred to as the sides of the angle.

The measurement of an angle is typically expressed in degrees, radians, or other angular units. Angles are commonly used to describe the amount of rotation or the inclination between two lines or surfaces.

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The parallel line of y=-1/2x-2 is y=-1/2x

Slope-intercept form y=mx+b of linear equations the slope-m and the y-intercept -b of a line,

here y=-1/2x-2 slope of the linear equation is m=-1/2,

whereas the y-intercept is b=-2,

Parallel lines are those lines that are equidistant from each other, the condition for representing two lines is parallel their slopes should be equal or the same.

here slope of the line is -1/2, and the fundamental equation of a line in slope intercept form is y=mx+b, taking the assumption the parallel line is passing through the origin hence the y-intercept of the parallel line is 0, b=0.

therefore, the parallel line of y=-1/2x-2 is y=-1/2x

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Answer:

45   80

Step-by-step explanation:

Answer:

3.

∠BOA , ∠AOB

45°

4.

∠DEN , ∠NED

80°

For a population variance of 484 with a probability of 0.99 the sample size needed if the desired margin of error is 5 or less is 129

Margin of error refers to a statistical measurement that represents the difference between actual and projected outcomes in a random survey sample. In other words, the margin of error enabled the researcher to measure the level of unpredictability in data and research outcomes. Margin of error is given by:

MOE = z x σ/√n

In order to determine the z score, the value is determined by the z table. As the table is set up for one tailed probability and the given confidence level uses a two tailed probability, the p value is determined by (1 + 0.99)/2 = 0.995. As the p value of 0.995 lies in the row containing 2.5 and column containing 0.08, the z = 2.5 + 0.08 = 2.58.

The standard deviation is the square root of the variance, hence σ = √484 = 22

As MOE = z x σ/√n

Substituting the values from the given data,

5 = 2.58 x 22/√n

5√n = 56.76

√n = 11.35

N = 128.8 ≈ 129

Hence, at least a sample size of 129 is required.

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The median exceeds the mean by more. The histogram is skewed to the right, which shows that lower values are dragging down the mean.

The median of the histogram on the right is higher than the mean. This is evident from the histogram's form, which is tilted to the right. This shows that the lower values tend to drag the mean down. The median is greater than the mean. The right-handed skewness of the histogram indicates that the mean is being pulled down by lesser values and However, because it is the centre number and is only impacted by the higher and lower values equally, the median is unaffected by the lower values. Because of this, the mean in this histogram is less than the median.

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Answer:

b=15

Step-by-step explanation:

8²+b²=17²

b²=225

b=15

Answer:

0

Step-by-step explanation:

The zero is in the middle.it is a special number by being its opposite because it doesn't have it's partner.

Applying the formula for area of a rectangle, the length of the rectangle can be expressed as: 3x + 2.

Recall:

Area of a rectangle (A) = L x W

Given:

Area of rectangle (A) expressed as: 9x + 6

Width (W) = 3

Length (L) = ?

9x + 6 = L x 3

\(9x + 6 = 3L\)

\(\frac{9x}{3} + \frac{6}{3} = \frac{3L}{3}\\\\3x + 2 = L\\\\L = 3x + 2\)

Therefore, applying the formula for area of a rectangle, the length of the rectangle can be expressed as: 3x + 2.

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Answer:

might be wrong but i think A

Step-by-step explanation:

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

Answer:

Line A

Step-by-step explanation:

Answer:

factors of 36 are 1,2,3,4,6,9,12,18,and 36

Answer: x= 30

Step-by-step explanation:

Simplify both sides of the equation. 12(x+6)=18(12)(x)+(12)(6)=18(Distribute) 1x+3=18

Step 2: Subtract 3 from both sides. 12 x+3−3=18−312 x=15

Step 3: Multiply both sides by 2. 2*(12x)=(2)*(15)

x=30

Answer:

x=30

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