Please help me this is due very soon!(Q13)

Answer:

Step-by-step explanation:327.94x100/655.88=50%

Answer:

1:3

Proof:

The ratio of circles to the total shapes is 1:3.

What is a ratio ?

A ratio is a mathematical way of comparing how many parts is occupied by a thing to an another thing or to the total part.

a:b = c:d, can be written as a/b = c/d which is ad = bc.

According to the given question there are 6 triangles and 3 circles.So total number of shapes including triangles and circles are ( 6 + 3 ) = 9.

So, the ratio of total shapes to the circles is

= No. of circles ÷ Total no. of shapes

= 3/9.

= 1/3.

Step-by-step explanation:

I hope this helps! Let me know if you have any questions. :)

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

 this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

Answer:

graph the equations and locate the intersection.

(  2 ,  3  )

Step-by-step explanation:

hope this helps!

Answer:

(x,y)=(2,3)

Step-by-step explanation:

\(\left \{ {{y=-2+5} \atop {y=x+1}} \right.\)

calculate the sum

\(\left \{ {{y=3} \atop {y=x+1}} \right.\)

since both expressions 3 and x+1 are equal to y, set them equal to each other forming an equation in x

3=x+1

solve the equation for X

x=2

The possible solution of the system is the ordered pair (x,y)

(x,y)=(2,3)

Check if the given ordered pair is the solution of the system of equations

\(\left \{ {{3=-2+5} \atop {3=2+1}} \right.\)

simplify the equalities

\(\left \{ {{3=3} \atop {3=3}} \right.\)

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(2.3)

The sample size, n is 9 and the sample mean, m is 41.33.

The exam has possible points and the scores for the students in the third classroom are as follows: 30 48 44 32 44 44 32 48 50.

We are asked to determine the sample size(n) and sample mean(m).

Sample size refers to the number of observations included in a study. In this question, the number of observations is equal to the number of scores in the third classroom. Hence, the sample size(n) is equal to n.

Now, the formula of the sample mean(m) is given as  

                m = Sum of all observations/Total Number of observations

          m =  30 + 48 + 44 + 32 + 44 + 44 + 32 + 48 + 50/9

          m = 372/9

          m = 41.33

Hence, the sample mean(m) of the scores for the students in the third classroom is 41.33.

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Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

The sampling method used in this scenario is convenience sampling.

Convenience sampling is a non-probability sampling technique where researchers select individuals who are easily accessible or readily available for participation in the study. In this case, the researchers waited outside a randomly selected bar and surveyed the bar patrons. The individuals surveyed were chosen based on their convenience and accessibility, as they were already present at the bar.

While convenience sampling is a quick and easy way to collect data, it may introduce biases and limitations to the study. The sample obtained through convenience sampling may not be representative of the entire population, as it relies on the availability and willingness of individuals to participate. In this case, the researchers surveyed bar patrons, which may not accurately represent the broader population's beliefs about drinking and driving. Therefore, the findings obtained through convenience sampling may not be generalizable to the entire population.

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Answer:

7

Step-by-step explanation:

Here we have the hypotonouse and an angle

we are looking for the side opposite to the angle

this means we should use SOH

sin(26)=(x/16)

16*sin(26)=x

x=7.01393

which is closest to 7

The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².

The figure formed by the arrow can be decomposed into a rectangle and a triangle.

The area of the composite figure = area of the rectangle + area of the triangle.

Find the area of the rectangle:

Length = 12 cm

Width = 11 cm

Area of the rectangle = (length)(width) = (12)(11)

Area of the rectangle = 132 cm²

Find the area of the triangle

Base = 11 cm

Height = 15 - 12 = 3 cm

Area of the triangle = 1/2(b)(h) = 1/2(11)(3)

Area of the triangle = 16.5 cm²

Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².

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1 9/26

Then your initial equation becomes:

7/2÷13/5

=7×5

 2×13

=35/26

       35/26=1 9/26

Answer:

1 \(\frac{9}{26}\)

Step-by-step explanation:

Given

3 \(\frac{1}{2}\) ÷ 2 \(\frac{3}{5}\) ← change mixed numbers to improper fractions

= \(\frac{7}{2}\) ÷ \(\frac{13}{5}\)

To perform the division

Leave the first fraction, change division to multiplication and turn the second fraction upside down.

= \(\frac{7}{2}\) × \(\frac{5}{13}\) ← multiply numerators/ denominators together

= \(\frac{35}{26}\)

= 1 \(\frac{9}{26}\)

b. normal distribution.  As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution.

Explanation:

As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution. This concept is known as the Central Limit Theorem, which states that the distribution of sample means approximates a normal distribution as the sample size increases, regardless of the population's distribution.

The Central Limit Theorem states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution from which the samples are drawn. This is true for any population distribution, including those that are not normally distributed.

The binomial distribution, chi-square distribution, and Poisson distribution are all probability distributions with specific characteristics and are not necessarily related to the sampling distribution of the sample mean. However, the normal distribution is often observed as an approximation to the sampling distribution of the sample mean when the sample size is large, making option b, "normal distribution," the correct answer.

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The most specific category that this shape can be sorted into is "Triangle."

What is the triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

The Venn diagram shows the relationships between different types of triangles.

The Scalene circle represents all the triangles that have no equal sides.

The Isosceles circle represents all the triangles that have two equal sides.

The Equilateral circle represents all the triangles that have three equal sides.

The triangle with a tick mark on each side does not provide enough information to determine whether it is a scalene, isosceles, or equilateral triangle.

Therefore, the most specific category that this shape can be sorted into is "Triangle."

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The area of the composite figure is  40 in²

The formula for the area of a rectangle is expressed as;

A = length ×width

Substitute the value, we get;

Area = 7(3)

Multiply the value, we have;

Area = 21 in²

Also, we have that;

Area of the second rectangle = 2(7) = 14 in²

Then, area of the triangle is expressed as;

Area = 1/2bh

Area = 1/2 × 5 × 2

Area = 5 in²

Total area = 40 in²

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Answer:

Step-by-step explanation:

A = 600(1 + 0.06/4)^(4*7)

A = 600(1.015)^28

A = 600(1.476)

A = $885.60

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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Answer:

if $700 is sales then answer would be $513.50

Step-by-step explanation:

5.5% of 700 = 38.5

475+38.5=513.50

The required probability = P(selecting 4 components that function properly) = 5/15 = 1/3

Hence, option (c) 0.3333 is the correct answer.

Given: Among 6 electrical components, exactly one is known not to function properly. If 4 components are randomly selected, the probability that all selected components function properly needs to be determined.

Now, the probability of success can be calculated by:

P (success) = number of favourable outcomes/ total number of outcomes

The total number of ways of selecting 4 components from 6 components = 6C4 = (6 × 5 × 4 × 3) / (4 × 3 × 2 × 1) = 15

The number of ways of selecting 4 components from 5 non-faulty components = 5C4 = (5 × 4 × 3 × 2) / (4 × 3 × 2 × 1) = 5

Therefore, the required probability = P(selecting 4 components that function properly) = 5/15 = 1/3

Hence, option (c) 0.3333 is the correct answer.

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Answer:1. 4x5

2. 7xm

3. 3xa

Step-by-step explanation: length times height to get area!

Answer:

Number 1 would be 4 x 5 = area

Number 2 would be 7 x m = area

And number 3 would br 3 x a = area

Answer:

D

Step-by-step explanation:

using the rule of logarithms

log \(x^{n}\) = n logx

given

2(\(5^{x}\)) = 14 ( divide both sides by 2 )

\(5^{x}\) = 7 ( take log of both sides )

log \(5^{x}\) = log7 , then

xlog5 = log7 ( divide both sides by log5 )

x = \(\frac{log7}{log5}\)

Answer:

y = 8

Step-by-step explanation:

Direct variation formula is y=kx. Plus in the known x & y values to solve for k, the constant of proportionality.

16 = k (4)   Divide by 4 to solve

4 = k

This means we multiply x by 4 to get y.

y = kx

y = 4 (2)

y = 8

The value of y in these ordered pairs  (4, 16) and (2, y) is 8.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

If y varies directly as x,

16 = k (4)  

Divide by 4 to solve for k

4 = k

This means we multiply x by 4 to get y.

y = kx

y = 4 (2)

y = 8

Hence, the value of y in these ordered pairs  (4, 16) and (2, y) is 8.

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Step-by-step explanation:

Answer:

16x^3y÷27z^3

Step-by-step explanation:

(2×8×14×x^2×x^2×x^2×y×y^2×y)÷(6×7×9×y^3×z×z^3×x^3×y)

(16×x^3×y)÷(27×z^2)

Answer:

Step-by-step explanation:

\(\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\\frac{a^{m}}{a^{n}}=\frac{1}{a^{n-m}}, n>m\\\\a^{0}=1\\a^{m}*a^{n}=a^{m+n}\)

\(\frac{2x^{2}y}{6y^{3}z}*\frac{8x^{2}y^{2}z^{2}}{7^{3}}\) ÷ \(\frac{9x}{14x^{2}y}\\\)

         \(=\frac{2x^{2}y}{6y^{3}z}*\frac{8x^{2}y^{2}z^{2}}{7z^{3}}*\frac{14x^{2}y}{9x}\\\\\=\frac{8*2x^{(2+2+2-1)}*y^{(1+2+1-3)}}{3*9z^{(1+3-2)}}\\\\=\frac{16x^{5}y}{27z^{2}}\)

\(=\frac{8*2x^{(2+2+2-1)}*y^{(1+2+1-3)}}{3*9z^{1+3-2}}\\\\=\frac{16x^{5}y}{27z^{2}}\)

A 20 year old has height below 3.7 feet and above 7.9 feet then 20 year old be considered abnormal.

The average height means that the given population determined by the interaction between the environment in which it lives and the resources it commands.

Abnormal means diffrent from what is normal or usual, in a way that worries you or that is unplesant.

We have given that average height is 5.8 feet.

And abnormal height a 20 year old must be 2.1 feet below average height or 2.1 feet above average height.

Therefore 5.8 - 2.1 = 3.7 feet

                 5.8 + 2.1 = 7.9 feet

Hence height below 3.7 feet abd above 7.9 feet is considered to be abnormal.

That means [-∞ , 3.7] and [7.9,∞] is considered to be abnormal height for 20 year old man.

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This means that the car needs to go at least 64 mph to overtake the bus in 5 hours, and it needs to cover the same distance as the bus did in those 3 hours, which is 120 miles.

To figure out the speed the car needs to go to overtake the bus in 5 hours, we first need to figure out how far the bus travels in those 5 hours.

Since the bus travels for 3 hours before the car starts, we can find the distance the bus travels in those 3 hours by using the formula:

distance = rate × time

where the rate is the speed of the bus, which is 40 mph, and the time is 3 hours.

So the distance the bus travels in those 3 hours is:

distance = 40 mph × 3 hours = 120 miles

Now, for the car to overtake the bus in 5 hours, it needs to cover the same distance the bus did in 3 hours plus some additional distance to get ahead of the bus. Let's call this additional distance "x".

So, the total distance the car needs to travel is:

total distance = 120 miles + x

Now we can set up an equation that relates the distances and speeds of the car and the bus:

distance covered by car = distance covered by bus + x

rate of car × time = rate of bus × time + x

where the rate of the bus is 40 mph, the time is 5 hours (since that's how long it takes for the car to overtake the bus), and the rate of the car is what we're trying to find.

Substituting the values we know:

rate of car × 5 hours = 40 mph × 8 hours + x

Simplifying:

rate of car = (40 mph × 8 hours + x) / 5 hours

We still need to find the value of "x". To do this, we can use the fact that the car overtakes the bus, which means that the distance covered by the car is greater than the distance covered by the bus:

distance covered by car > distance covered by bus

rate of car × time > rate of bus × time

rate of car × 5 hours > 40 mph × 8 hours

rate of car > 64 mph

So the car needs to go faster than 64 mph to overtake the bus in 5 hours.

To find the value of "x", we can substitute the rate of the car into the earlier equation:

rate of car × 5 hours = 40 mph × 8 hours + x

64 mph × 5 hours = 40 mph × 8 hours + x

320 miles = 320 miles + x

x = 0

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Answer:

x=7

Step-by-step explanation:

8x – 2y = 48

Let y = 4

8x - 2(4) = 48

8x - 8 = 48

Add 8 to each side

8x-8+8 = 48+8

8x = 56

Divide each side by 8

8x/8 = 56/8

x=7

Answer:

\(x = 7\)

Step-by-step explanation:

\(8x - 2y = 48 \\ 8x = 48 + 2y \\ x = \frac{48 + 2y}{8} \)

\(y = 4\)

\(x = \frac{48 + 2y}{8} \\ x = \frac{48 + 2 \times 4}{8} \\ x = \frac{48 + 8}{8} \\ x = \frac{56}{8} \\ x = 7\)

hope this helps

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good luck! have a nice day!

Answer:

I believe it is the third and the fifth

hope this helps :)

The voltage equation, we get:

v(t) = 140/29 + (√29/58)cos(√29t) + (√29/58)sin(√29t) + (3 - y)/29

Given that the differential equation is

d²v/dt² + 29v + y = 3,

and the initial conditions are

v(0) = 5 and dv/dt(0) = 1.

The characteristic equation is

m² + 29 = 0.

So, m₁ = i√29 and m₂ = -i√29.

Thus, the complementary function is vc

f(t) = c₁ cos (√29t) + c₂ sin (√29t)

where c₁ and c₂ are constants.

To determine the particular integral, we first determine the particular integral of y, which is a constant.

Since the right side of the equation is 3, we guess that the particular integral will be of the form y

p(t) = At² + Bt + C.

Substituting this into the differential equation, we get:

d²(At² + Bt + C)/dt² + 29(At² + Bt + C) + y

= 3 2Ad²t/dt² + 29At² + 58Bt + 29 C + y

= 3

Equating coefficients of t², t, and constants gives us:

2A + 29A = 0

⇒ A = 0, and

29C + y = 3

⇒ C = (3 - y)/29

The coefficient of t is 58B, which must equal 0 since there is no t term on the right side of the equation.

Thus, B = 0.

So, yp(t) = (3 - y)/29 is the particular integral of y.

Substituting this into the voltage equation, we get:

v(t) = D + c₁ cos (√29t) + c₂ sin (√29t) + (3 - y)/29

To determine the constants, we use the initial conditions:

v(0) = 5

⇒ D + (3 - y)/29 = 5

⇒ D = 140/29 dv/dt(0) = 1

⇒ -c₁√29 + c₂√29 = 1

From this, we get c₁ = c₂ = √29/58.

Finally, substituting all the values in the voltage equation,

v(t) = 140/29 + (√29/58)cos(√29t) + (√29/58)sin(√29t) + (3 - y)/29

Putting A = 0, B = 0, s3 = √29, and D = 140/29 in the voltage equation, we get:

v(t) = 140/29 + (√29/58)cos(√29t) + (√29/58)sin(√29t) + (3 - y)/29

where A = 0, B = 0, s3 = √29, and D = 140/29.

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Answer:

\( ({a + b})^{2} \)

\((a + b)(a + b)\)

\( {a}^{2} + 2ab + {b}^{2} \)

hope this help you