Which of the fractions is equivalent to 3/8?

A. 2/7

B. 8/3

C. 9/24

D. 5/10

Answer:

A. y = 2

B. x = 7/2

C. y = 12/5

D. x = 6

Step-by-step explanation:

A. Determination of y .

2x + 5y = 12

x = 1

2(1) + 5y = 12

2 + 5y = 12

Collect like terms

5y = 12 – 2

5y = 10

Divide both side by 5

y = 10 / 5

y = 2

B. Determination of x

2x + 5y = 12

y = 1

2x + 5(1) = 12

2x + 5 = 12

Collect like terms

2x = 12 – 5

2x = 7

Divide both side by 2

x = 7/2

C. Determination of y

2x + 5y = 12

x = 0

2(0) + 5y = 12

0 + 5y = 12

5y = 12

Divide both side by 5

y = 12/5

D. Determination of x

2x + 5y = 12

y = 0

2x + 5(0) = 12

2x + 0 = 12

2x = 12

Divide both side by 2

x = 12/2

x = 6

The value of the variable x for the arc angle CD and DE is -1and the arc angle FCE = 230°. Also x = 5 for the arc angles RS, ST, TU, and UR, and the arc angle RS = 70°.

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

Thus:

17). 2[(x + 131) + (x + 51)]° = 360°

2x + 182° = 180°

2x = 180° - 182°

2x = -2

x = -1

arc angle CD = -1 + 51 = 50°

arc angle DE = -1 + 131 = 130°

arc angle FCE = 2CD + DE

arc angle FCE = 2(50) + 130 = 230°

18). 92 + 27x + (11x + 8) + 15x - 5 = 360°

53x + 95° = 360°

53x = 360° - 95°

53x = 265

x = 5

arc angle RS = 15(5) - 5 = 70°

Therefore, the value of the variable x for the arc angle CD and DE is -1and the arc angle FCE = 230°. Also x = 5 for the arc angles RS, ST, TU, and UR, and the arc angle RS = 70°.

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To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

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Answer:1.c   2.b

Step-by-step explanation:

Answer:

0.0004% probability that the student answers at least 9 questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses the correct answer, or he does not. All questions are answered independently. This means that we use the binomial distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

In this question, we have that:

\(n = 10, p = 0.2\)

What is the probability that the student answers at least 9 questions correctly

\(P(X \geq 9) = P(X = 9) + P(X = 10)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} = 0.000004\)

\(P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0 \)

\(P(X \geq 9) = P(X = 9) + P(X = 10) = 0.000004 + 0 = 0.000004\)

0.0004% probability that the student answers at least 9 questions correctly

Answer:

I would do it at your own pace. Find yourself a habit that helps you focus.

Step-by-step explanation:

For some people, like me, music helps me focus. For others, utter silence is best. I would suggest that if you finding a focal point does not help that you get a tutor. You can also come up with multiple ways to study like Quizlets, videos, flashcards, podcasts, depending on what type of learner you are!

From the given diagram, the following statements are true:

AB = BC

3y = 5y - 22

3y - 5y = -22

-2y = -22

y = 11

Similarly, m<DBE = 50 degrees

m<BED = 90 - m<DBE

m<BED = 90 - 50

m<BED = 40 degrees

Since BE = BC = 3y

BE = BC = 3(11) = 33

Also, 7x  - 2 = 40

7x = 40 + 2

7x = 42

x = 6

Get the measure of m<BEA

m<BEA = 7x - 2

m<BEA = 7(6) - 2

m<BEA = 40 degrees

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Answer:

b. 21

Step-by-step explanation:

The first five mutiples of 7 are: 7, 14, 21, 28, 35. You can get these by multiplying 7 to any integer.

In order to get the average of these numbers, you have to add them and divide the sum to the total number of multiples.

Let's add first.

7+14+21+28+35 = 105

Let's divided 105 by 5, which is the number of the multiples of 7.

105÷5 = 21

The answer is 21.

Answer:

0.0207 = 2.07% approximate probability of finding at least 157 defects

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\lambda\) is the mean in the given interval.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of a Poisson distribution can be approximated to a normal distribution, with \(\mu = n\lambda, \sigma = \sqrt{\lambda}\sqrt{n}\)

The average defect rate on a 2010 Volkswagen vehicle was reported to be 1.33 defects per vehicle.

This means that \(\lambda = 1.33\)

Suppose that we inspect 100 Volkswagen vehicles at random.

This means that \(n = 100\)

Mean and standard deviation:

\(\mu = n\lambda = 100*1.33 = 133\)

\(\sigma = \sqrt{\lambda}\sqrt{n} = \sqrt{1.33}\sqrt{100} = 11.53\)

What is the approximate probability of finding at least 157 defects?

Using continuity correction(Poisson is a discrete distribution, normal continuous), this is \(P(X \geq 157 - 0.5) = P(X \geq 156.5)\), which is 1 subtracted by the p-value of Z when X = 156.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{156.5 - 133}{11.53}\)

\(Z = 2.04\)

\(Z = 2.04\) has a p-value of 0.9793.

1 - 0.9793 = 0.0207

0.0207 = 2.07% approximate probability of finding at least 157 defects

Answer:

D. social security: 6621.60, Medicare: 1812.50

Step-by-step explanation:

Social security tax: 106800 x .062=6621.60

medicare tax: 125000 x .0145=1812.50

The Social Security tax is $6,621.60 and  Medicare tax is $1,812.50.

The given parameters:

This is a tax levied on both employers and employees to fund the Social Security programs.

The social security tax on the given earnings is calculated as follows;

Social security tax = 0.062 x 106,800 = $6,621.6

Medicare tax = 0.0145 x 125,000 = $1,812.5

Thus, the Social Security tax is $6,621.60 and  Medicare tax is $1,812.50.

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Answer:

B

Step-by-step explanation:

BC is tangent to circle A, and the value of r is 10.

Given,

BC=24

CD=16

AD=AB=r

To find the value of r, we can use the fact that a tangent line to a circle is perpendicular to the radius at the point of tangency. So we know that angle ABD is a right angle, and we can use the Pythagorean theorem

The Pythagorean theorem can be used to calculate the value of r:

\(AB^2+BC^2=AC^2\)

\(r^2+24^2=(r+16)^2\)

\(r^2= (r+16)^2-24^2\)

\(r^2\)= \(r^2\)+256+32r-576

\(r^2\)=\(r^2\)+32r-320

\(r^2-r^2\)-32r=-320

-32r=-320

r=320/32

r=10

Therefore the correct answer is r=10.

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Answer:

10*3

Step-by-step explanation:

10*3 = 30

Answer:

10x3.2=32

Step-by-step explanation:

that what you lookin for?

Answer:

s^2u^2−5stu+6t^2

Step-by-step explanation:

Answer:

6t^2-5tsu+s^2u^2

Step-by-step explanation:

Answer:

p =4

q = -2

Step-by-step explanation:

To mirror is to reflect.  See the picture

Answer:

3

Step-by-step explanation:

in the image Attached

......

Answer:

3

Step-by-step explanation:

Prime factorize both numbers :

The GCF is the highest common term that both terms share.

Hence,

Answer:

(12, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

x + 7y = -2

3x + y = 34

Step 2: Rewrite Systems

x + 7y = -2

Step 3: Redefine Systems

x = -2 - 7y

3x + y = 34

Step 3: Solve for y

Substitution

Step 4: Solve for x

Answer:

Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing

Step-by-step explanation:

The first part of the question does not correlate to the final question the problem is asking. Therefore, we just need to find out why apples are red. A simple google search can tell you why ^^

Answer:

it's nature first it's green after its gets ready to eat it's colour change

in am just joking

Answer:

$10

Step-by-step explanation:

x is her weekly allowance.

She spent half her allowance and has ½x remaining.

She earned $7, and now has $12.

12 = ½x+7

x = 10

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

x=-2

Step-by-step explanation:

answer attached

x = 8

y1 = 17

y2= 20

Taking what we know, which is the median, and the mean.
The mean is the average of all the numbers added together then divided.
The Median is the middle number. This means we can easily solve what x equals.

knowing the middle point is 9. x has to be 8 so because there are 6 numbers, and no numbers in the middle of the positions 3-4.

Now we need to solve for both the final numbers, which in this has to come to an average of 11, and knowing the numbers are all ascending, we can at least come to the conclusion that the numbers are all < 10. Which leads us to the guessing part which is most likely not the best way to solve this, but is how I would solve it, and is just by plugin in numbers and solving. Which I found could be 17 and 20, as with both the median still is equal to 11.

~Neo

The value of x and y for the given numbers are:

x = 8 and y = 1.

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

We know that the median of the six numbers is 9.

Therefore, the two middle numbers must add up to 18, which is twice the median.

We also know that the mean of the six numbers is 11.

Therefore, the sum of the six numbers is 66, which is 6 times the mean.

Let's use this information to set up two equations in terms of x and y:

Equation 1: 7 + x + 10 + y + y = 66 (the sum of the six numbers is 66)

Simplifying this equation, we get:

2y + x = 39

Equation 2: (x + 7 + 10)/3 + 2y/3 = 11 (the mean of the six numbers is 11)

Simplifying this equation, we get:

(x + 2y)/3 + 17/3 = 11

x + 2y = 10

Now we have two equations with two variables.

We can solve for x and y by substituting one equation into the other:

2y + x = 39

x + 2y = 10

Multiplying the second equation by 2, we get:

2x + 4y = 20

Subtracting the first equation from this one, we get:

x + 2y = 10

-(2y + x = 39)

-x - 37 = -29

Solving for x, we get:

x = 8

Substituting this value into one of the equations, we can solve for y:

x + 2y = 10

8 + 2y = 10

2y = 2

y = 1

Therefore,

x = 8 and y = 1.

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Answer:

  1

Step-by-step explanation:

David Joyner might be the first name, so you may only have to check 1 name.

Answer:

9

Step-by-step explanation:

I wish I could upload my picture of the work I did, or can I? sorry I'm new here

Answer:cccc

Step-by-step explanation:

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc should be right

First you want to make sure they are the same measurement.

Therefore we need to make ft into inches

4 ft = 4 x 12 = 48 inches

48 in to 6 in

48/6 to 6/6

8 in to 1 in

C would be the correct answer

Answer: You should get 15 water bottles

Step-by-step explanation: You need at least 8 water bottles and at least 5 water bottles so you should get 15 because 9+6.

The number of water bottles you would need to buy is at least 13 water bottles

let

b = water bottles

Statement 1:

at least 5 water bottles

b ≥ 5

statement 2:

at least 8 water bottles

b ≥ 8

b ≥ 13

Therefore, the number of water bottles you would need to buy is at least 13 water bottles

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The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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