What are all the correct equations

Answer:    54

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

We need to determine the critical values associated with the t-distribution. These values will define the range within which the population parameter is estimated to lie.

For a 95% confidence interval and a sample size of 10, we use the t-distribution instead of the standard normal distribution. The critical values are based on the degrees of freedom, which is equal to the sample size minus 1 (df = n - 1).

To find the critical values, we look up the corresponding values from the t-distribution table or use statistical software. Since the sample size is small (10), the t-distribution is used to account for the uncertainty in the estimation of the population standard deviation.

The critical values correspond to the tails of the t-distribution. For a 95% confidence interval, we need to find the values that enclose 95% of the area under the t-distribution curve, with 2.5% in each tail. The left and right values represent the cutoff points for the lower and upper boundaries of the confidence interval.

By consulting the t-distribution table or using statistical software with the appropriate degrees of freedom (df = 10 - 1 = 9) and significance level (α = 0.05), we can determine the values for the left and right boundaries of the confidence interval, rounded to three decimal places. These values will define the range within which the population parameter is estimated with 95% confidence.

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Approximately 47.72% of the students scored between 167 and 253 on the exam. To find the percentage of students who scored between 167 and 253 on the exam, we can use the properties of the normal distribution.

Given that the scores are normally distributed with a mean of 253 and a standard deviation of 43, we can calculate the z-scores for the two given scores and then use the z-table to find the corresponding probabilities. First, let's calculate the z-score for the lower score of 167:

z1 = (167 - 253) / 43

z1 ≈ -2

Next, let's calculate the z-score for the upper score of 253:

z2 = (253 - 253) / 43

z2 = 0

Using the z-table, we can find the area under the normal curve between z1 and z2, which represents the percentage of students who scored between 167 and 253 on the exam.

Since the z-score of z1 is -2, we look up the area to the left of -2 in the z-table, which is approximately 0.0228. This represents the percentage of students who scored below 167.

Since the z-score of z2 is 0, we look up the area to the left of 0 in the z-table, which is 0.5000. This represents the percentage of students who scored below 253.

To find the percentage of students who scored between 167 and 253, we subtract the percentage below 167 from the percentage below 253:

Percentage = 0.5000 - 0.0228 ≈ 0.4772

Therefore, approximately 47.72% of the students scored between 167 and 253 on the exam.

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Answer:

No. pp you can fit in a van: 6,

No. pp you can fit in a bus: 20

Step-by-step explanation:

Let v = # of pp in vans, and let b = # of pp in buses:

8v + 9b = 228,

4v + 5b = 124

If we solve this system of equations by substitution, we isolate the first eq. for v and then substitute into the bottom eq:

v = 228-9b/8,

Substitute v = 228-9b/8 into bottom eq:

[4 * 228-9b/8 + 5b = 125]

[228+b/2=124]

[228+b = 248]

[b = 20]

Now substitute 20 to find no. of pp in the vans:

v = 228 - 9(20)/8 = 228  - 180/8 = 48/8 = 6

The probability that it will not be orange is 0.9

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true.

given:

There are:

5 pink marbles

9 green marbles,

13 blue marbles, and

3 orange marbles.

There is a total of 30 marbles in the jar.

Step 1. Take 1 marble from the jar.

Step 2. Probability that it is orange, = P(orange) = ( 3/30 ) = ( 1/10 ) = 0.10 = 10%

Step 3. Probability that the chosen marble is not orange, = ( 1 - Probability that the chosen marble IS orange) = ( 1 - 0.1 ) = 0.9 = 90%.

hence , the probability that it will not be orange is 0.9

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Step-by-step explanation:

To work out the scale factor, divide one of the sides from the larger shape from the smaller shape so:

15/6 = 2.5

So your scale factor would be 2.5

And to check this, multiply 2.5 by 6 and u should get 15, so you know it is correct! :)

Answer:

7x^2 + x + 8

Step-by-step explanation:

here's your solution

=> The model of Jordan yard = 3x^2 - 2x + 1

=> The model of new yard = 4x^2 + 3x+ 7

=> now, for total area we need to add both

=> 4x^2 + 3x^2 + 3x - 2x + 7 + 1

=>7x^2 + x + 8

hope it helps

The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

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Answer:

Explanation at the bottom

Step-by-step explanation:

To find the slope with the 2 points use this ---> \(\frac{y2 - y1}{x2 - x1}\) Ex: Points (9, 3) (6, 12) --> write it this way \(\frac{12 - 3}{6 - 9}\) = \(\frac{9}{-3}\) = -3 so -3 would be the slope of that line.

Then to find the y- intercept use the slope and the numbers from one of the points like this ---->   y = mx + b we are looking for b.  

(plugging in the first point)  (using the point (9,3))

3 = -3(9) + b

3 = -27 + b (add 27 on both sides)

30 = b (that's your y- intercept)

(Full equation is)  

y = -3x + 30

If you need further explanation just comment!!

Answer: there are 118 dimes in the jar.

Step-by-step explanation: Let's use a system of equations to solve the problem:

Let d be the number of dimes and n be the number of nickels.

We know that:

d + n = 250 (Equation 1) (The total number of coins is 250)

0.1d + 0.05n = 18.4 (Equation 2) (The total value of all coins is $18.4)

To solve for d, we need to eliminate n from the equations above. We can do this by multiplying Equation 1 by -0.05 and adding it to Equation 2:

-0.05d - 0.05n = -12.5

0.1d + 0.05n = 18.4

0.05d = 5.9

Dividing both sides by 0.05, we get:

d = 118

Therefore, there are 118 dimes in the jar.

The trigonometric function simplified as a single expression is cosec² t .

The given trigonometric function is  : \(\frac{sin^2t+cos^2t}{sin^2t}\)

We know from trigonometric identity : that sin²t +cos²t = 1

hence the given expression simplifies to 1 / sin²t

Again trigonometric ratios states that :

1 / sin t =  cosec t

∴ 1 / sin²t = cosec² t

Hence the trigonometric function is of the form cosec² t .

The right-angled triangle's angle and the ratios of its two side lengths are connected by the trigonometric functions, which are actual functions. They are also referred to as goniometric functions, circular functions, and angle functions .

The three trigonometric functions that are used in modern mathematics the most commonly are sine, cosine, and tangent. The less frequent cotangent, cosecant, and secant are their reciprocals.

Disclaimer: The complete question is :

simplify sin² ( t ) + cos ² ( t ) / sin ² ( t ) to an expression involving a single trig function with no fractions.

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Answer:

Look when angle 3= angle B

It would make AD parallel to BC

Step-by-step explanation:

So go with

AD//BC

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Answer:

y= x+ 4

is the answer

Solution:

Simplify the distributive property and solve.

The solution to the equation is 15.

Your required solution :

Let us solve this equation..!!

Firstly multiplying 2 by (x - 2)

⇒ 2 × (x - 2) = 26

⇒ 2x - 4 = 26

On transposing -4 to R.H.S. it would be positive,

⇒ 2x = 26 + 4

⇒ 2x = 30

On dividing 30 by 2 we gets,

⇒ x = 30/2

⇒ x = 15

Therefore, value of x is 15.

1.) The value of X would be = 3cm. That is option A.

2.). The value of X (in cm) would be = 4cm. That is option B.

For question 1.)

Given that ∆ABC≈∆PQR

Scale factor = larger dimension/smaller dimension

= 6/4.5 = 1.33

The value of X= 4÷ 1.33 = 3cm

For question 2.)

To calculate the value of X the formula that should be used is given as follows:

PB/PB+BR = AB/AB+QR

where;

PB= 3.2

BR = 4.8

AB = 2

QR= X

That is;

3.2/4.8+3.2= 2/2+X

3.2(2+X) = 2(4.8+3.2)

6.4+3.2x = 16

3.2x= 16-6.4

X= 12.8/3.2 = 4cm.

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Answer:

Answer is 2x+18

Step-by-step explanation:

2x+10+8

2x+18

Answer:

the answer is rectangle. I hope it helps!

Answer:

Triangle

Step-by-step explanation:

Because it looks like a Triangle 3 sides

No, the expression m2 + 4m + 6 cannot be factored into a product of two binomials.

Answer:

L = V/wh

Step-by-step explanation:

you have to get L by its self so on the original move the letters around to get it by its self. Imagen it’s like soliving for X

Answer:

\(9x^3 +2y^3 + 5y\)

Step-by-step explanation:

\(3x^3+ 2y^3 + 6x^3 + 5y\)

Combine like terms:

\(3x^3+ 2y^3 + 6x^3 + 5y\)

\((3x^3+6x^3) +2y^3 + 5y\)

\(9x^3 +2y^3 + 5y\)

Hope this helps!

Answer:

The mean and variance of a y is 5 and 9 respectively.

Step-by-step explanation:

Let x1 and x2 be independent random variables.

Suppose the mean and variance of x1 are 2 and 4, respectively. Suppose, the mean and variance of x2 are 3 and 5, respectively. We need to find the mean and variance of y.

Mean of y,

The mean of y is given by the sum of the means of x1 and x2.

Mean of y = Mean of x1 + Mean of x2

Mean of y = 2 + 3

Mean of y = 5

Thus, the mean of y is 5.

Variance of y,

The variance of y is given by the sum of the variances of x1 and x2.

Variance of y = Variance of x1 + Variance of x2

Variance of y = 4 + 5

Variance of y = 9

Thus, the variance of y is 9.

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Sami can make 7 necklaces from the cord

Length is defined as the measurement or extent of something from end to end

To find the number of necklaces Sami can make

We divide the Total centimeter of chord with the centimeter of one cord

Total cord=233.8centimter

Each necklace = 33.4centimeters

Therefore, Total cord/Each necklace

=233.8/33.4

=7necklaces

Hence, Sami can make 7 necklaces from 233.8centimeters of cord

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For the sample of soil given a) the porosity is 100.4%; b) the specific yield is 12.2%; c) the specific retention is 14.6%; d) the void ratio is 0.5342; e) the initial moisture content is 2.3%; and f) the initial degree of saturation is 41.97%.

a) The porosity of soil can be defined as the ratio of the void space in the soil to the total volume of the soil.

The total volume of the soil = Initial volume of soil = 100 c.m³

Weight of water added to the soil = 234.6 g – 220 g = 14.6 g

Volume of water added to the soil = 14.6 c.m³

Volume of soil occupied by water = Weight of water added to the soil / Density of water = 14.6 / 1 = 14.6 c.m³

Porosity = Void volume / Total volume of soil

Void volume = Volume of water added to the soil + Volume of voids in the soil

Void volume = 14.6 + (Initial volume of soil – Volume of soil occupied by water) = 14.6 + (100 – 14.6) = 100.4 c.m³

Porosity = 100.4 / 100 = 1.004 or 100.4%

Therefore, the porosity of soil is 100.4%.

b) Specific yield can be defined as the ratio of the volume of water that can be removed from the soil due to the gravitational forces to the total volume of the soil.

Specific yield = Volume of water removed / Total volume of soil

Initially, the weight of the oven dried soil is 220 g. After allowing it to drain by gravity, the weight of soil is 222.4 g. Therefore, the weight of water that can be removed by gravity from the soil = 234.6 g – 222.4 g = 12.2 g

Volume of water that can be removed by gravity from the soil = 12.2 c.m³

Specific yield = 12.2 / 100 = 0.122 or 12.2%

Therefore, the specific yield of soil is 12.2%.

c) Specific retention can be defined as the ratio of the volume of water retained by the soil due to the capillary forces to the total volume of the soil.

Specific retention = Volume of water retained / Total volume of soil

Initially, the weight of the oven dried soil is 220 g. After adding water to the soil, the weight of soil is 234.6 g. Therefore, the weight of water retained by the soil = 234.6 g – 220 g = 14.6 g

Volume of water retained by the soil = 14.6 c.m³

Specific retention = 14.6 / 100 = 0.146 or 14.6%

Therefore, the specific retention of soil is 14.6%.

d) Void ratio can be defined as the ratio of the volume of voids in the soil to the volume of solids in the soil.

Void ratio = Volume of voids / Volume of solids

Initially, the weight of the oven dried soil is 220 g. The density of solids in the soil can be calculated as,

Density of soil solids = Weight of oven dried soil / Volume of solids

Density of soil solids = 220 / (100 – (14.6 / 1)) = 2.384 g/c.m³

Volume of voids in the soil = (Density of soil solids / Density of water) × Volume of water added

Volume of voids in the soil = (2.384 / 1) × 14.6 = 34.8256 c.m³

Volume of solids in the soil = Initial volume of soil – Volume of voids in the soil

Volume of solids in the soil = 100 – 34.8256 = 65.1744 c.m³

Void ratio = Volume of voids / Volume of solids

Void ratio = 34.8256 / 65.1744 = 0.5342

Therefore, the void ratio of soil is 0.5342.

e) Initial moisture content can be defined as the ratio of the weight of water in the soil to the weight of oven dried soil.

Initial moisture content = Weight of water / Weight of oven dried soil

Initial weight of soil = 225.1 g

Weight of oven dried soil = 220 g

Therefore, the weight of water in the soil initially = 225.1 – 220 = 5.1 g

Initial moisture content = 5.1 / 220 = 0.023 or 2.3%

Therefore, the initial moisture content of soil is 2.3%.

f) Initial degree of saturation can be defined as the ratio of the volume of water in the soil to the volume of voids in the soil.

Initial degree of saturation = Volume of water / Volume of voids

Volume of water = Weight of water / Density of water

Volume of water = 14.6 / 1 = 14.6 c.m³

Volume of voids in the soil = 34.8256 c.m³

Initial degree of saturation = 14.6 / 34.8256 = 0.4197 or 41.97%

Therefore, the initial degree of saturation of soil is 41.97%.

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Answer:

1oz

Step-by-step explanation:

5% as a decimal is .05

.05 x 20= 1

The numbers x and y values are the integer x = 29,288 and y = 713.

What is a linear equation?

Ax+By=C represents a two-variable linear equation in its standard form.

A linear equation with one variable has the conventional form Ax + B = 0. x is a variable, A is a coefficient, and B is constant in this situation.

An equation is used to show the relationship between variables, and numbers.

Let's call the two numbers x and y, where x is the first number and y is the second number. We are given that x + y = 30,000 and that 0.07x + 0.1y = 2,400.

Using substitution, we can solve for one variable in terms of the other and then substitute this expression into the other equation.
From the first equation, we can solve for y: y = 30,000 - x
Substituting this expression into the second equation, we get:
0.07x + 0.1(30,000 - x) = 2,400
0.07x + 3,000 - 0.1x = 2,400
Combining like terms, we get:
-0.03x = -600
Dividing both sides by -0.03, we get:
x = 20,000
Substituting this value back into the first equation, we can solve for y:
y = 30,000 - x
y = 30,000 - 20,000
y = 10,000
Therefore, the two numbers are x = 20,000 and y = 10,000.
Alternatively, we could have used elimination to solve the system. We can do this by adding the two equations together:
x + y = 30,000
0.07x + 0.1y = 2,400
0.07x + 0.1y + x + y = 30,000 + 2,400
0.17x + 1.1y = 32,400
Dividing both sides by 0.17, we get:
x + 6.47y = 190,588
Multiplying both sides of the first equation by 6.47, we get:
6.47x + 6.47y = 194,490
Subtracting the second equation from the first, we get:
5.47y = 3,902
Dividing both sides by 5.47, we get:
y = 712.5
Substituting this value back into the first equation, we can solve for x:
x = 30,000 - y
x = 30,000 - 712.5
x = 29,287.5

Since x and y must be positive integers, we can round these values to the nearest integer to get x = 29,288 and y = 713. These values are very close to the actual solution, which is x = 20,000 and y = 10,000. This is because we introduced some error when we divided both sides of the equation 0.17x + 1.1y = 32,400 by 0.17.
Hence, the numbers x and y values are the integer x = 29,288 and y = 713.

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The equation, as the problem requests will be 16 - 0.2h.

The mean is an appropriate measure of central tendency to use for this data, since there are no extreme outliers apparent upon inspection of the data.

Hence, the mean is

(0.5+0.6+0.5+0.7+0.7+0.5+0.5+0.6)/8 = 0.575

The average burning candle from this factory, then, loses 0.575 ÷ 3 ounces per hour (the table showed the weight lost by each of the eight candles after three hours of burning, so we need to divide that by 3 to get an hourly rate).

In conclusion, the equation, as the problem requests will be 16 - 0.2h.

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Answer:
20.02

If this help please set brainliest.

Explain:

If you increase the number 14 by 43%, you would get
14 + (14 * 43%) = 14 + 6.02 = 20.02.

The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?