Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4

A)X = 0
B)X = 1
C)There are no solutions to the system.
D)There are infinite solutions to the system.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10.

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41

The equation of the line in standard form can be represented as follows:

Ax + By = C

where

Therefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;

Parallel lines have the same slope.

Hence,

3y = 4x + 8

y = 4  / 3 x + 8 / 3

The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.

y = 4 / 3 x + b

-3 = 4 / 3 (8) + b

b = -3 - 32 / 3

b =  -9 - 32/ 3

b = -41 / 3

Hence,

y = 4 / 3 x - 41 / 3

multiply through by 3

3y = 4x - 41

Therefore, the standard form is 4x - 3y = 41

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Answer:

Natalie arrives is Sheffield at 1:00 pm

Step-by-step explanation:

At the 5% significance level, a researcher conducts six separate hypothesis tests. the likelihood of finding two or fewer Type Errors.

Declare your null and alternate hypotheses in Step 1. Data collection is step two. Perform a statistical test in step three. In step four, you must choose whether to reject or not to reject your null hypothesis. Deliver your results in Step 5. Five steps make up the statistical process: design the study, assemble the data, Analyze the data, draw conclusions, and take action. In a planned experiment, the variables are under the researchers' control.

Utilizing sample data, hypothesis testing is a method used to determine whether a hypothesis is tenable. The test offers proof that, given the available data, the hypothesis is plausible. By measuring and reviewing a representative sample of the population under study, statistical analysts can evaluate a theory.Procedures for testing hypotheses Identifying the null hypothesis is the first step.

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L1 (Ridge Regression) regularization is better than L2( Lasso regression). A regularization term two general types of regularization L1 and L2 regularization is added to solve the overfitting problem.

Let's use a linear regression formula for this explanation, y = mx + c

This is the simplest formula, so if there is only one feature, this is the formula. But in the real world, we rarely deal with just one feature. Most of the time we have multiple functions.

y = m₁ x₁ + m₂x₂ + ----+ mₙxₙ

To create simpler (sparse) models when the dataset has a large number of features, here are some of the regularization techniques used to correct overfitting and feature selection. A regression model that uses the L1 regularization method is called a Lasso regression. Lasso regression (least absolute shrinkage and selection operator) is Add "absolute size".

∑(Yᵢ ) - ∑Xᵢβⱼ)² + λ ∑|βⱼ|

Models using L2 are called ridge regression Ridge Regression adds the "squared magnitude" of the coefficients as a penalty term to the loss function. where the highlighted part represents the L2 regularization factor and the cost function

∑(Yᵢ - ∑Xᵢβⱼ )² + λ ∑β²

The L1 regularization is more robust than the L2 regularization for fairly obvious reasons. Since we take the weights squared, the cost of outliers present in the data increases exponentially. L1 regularization takes the absolute value of the weights, so the cost increases only linearly. Both L1 and L2 can add cost penalties depending on the complexity of the model, so when calculating the cost using the loss function, an auxiliary component called the regularization term adds complexity to the model. Added for segmentation.

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An ordinary bend is a ringer molded bend that gives probabilities of irregular factors taken in a nonstop conveyance. The z score formula is used to standardize the random variables into a z score.

Using the z score formula and the z table, standardize the value of x and use it to denote the cellphone's lifetime in months.

The area under the probability density function curve in a given range is the probability that a continuous random variable fall within a given range. Because the value of a random variable must be in the sample space, the total area under the curve for any pdf is always 1.

A continuous probability distribution is the normal distribution. Probability is affected in multiple ways by this. 1 is the total area under the normal curve. A normal random variable X has a 0 chance of matching any given value.

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Full Question = A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable.

Answer:

  75 mg

Step-by-step explanation:

You want the dose for a 72 pound person at the rate of 2.5 mg/kg.

We multiply by conversion factors that cancel unwanted units, leaving the units we want.

At the end of the unit conversion, we need to determine if the calculated dose is closer to 75 mg or 100 mg. It is less than 87.5 mg, so is closer to 75 mg.

  [tex]\dfrac{2.5\text{ mg}}{\text{kg}}\times(72\text{ lb})\times\dfrac{0.453\text{ kg}}{\text{lb}}=2.5\times72\times0.453\text{ mg}\approx81.54\text{ mg}\\\\\approx\boxed{75\text{ mg}}[/tex]

__

Additional comment

We found the nearest 25 mg dose by dividing by 25 mg, and rounding the 3.26 dose result to 3 doses of 25 mg each.

Answer:

0, -12

Step-by-step explanation:

The sign of F on the interval -4<x<1 is 0

We know that in mathematics,  a function from a set X to a set Y assigns to each element of X exactly one element of Y.

The given function is

f(x)=(x-2)(x+4)(x+5)(x-1)(x-9)

The Interval is given as -4<x<1

Substituting the values of x in the function we have

f(x)=(-5-2)(-4+4)(1+5)(2-1)(9-9)

This implies that

f(x)=(0)(0)(6)(1)(0)

Multiplying the brackets to have

f(x)=0

In conclusion, the sign of F on the interval -4<x<1 is 0

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Answer:

158 liters.

Step-by-step explanation:

G=gallons

L=Liters

Q=Quarts

42G * 4Q = 168Q

1Q = 3.785L

3.785L * 42G = 158L or another way is to go by the formula is by dividing the volume value by 1.057:

168Q divide by 1.057 = 158

Answer:

15 liter = 507.210848 Fluid Ounces

because 1 liter = 33.8140565 so you do 33.8140565 x  15 = 507.210848

mark me brainliest

hope this helps you

Step-by-step explanation:

Therefore, we have proven the vertical angles theorem by using congruency properties.

The intersection of two straight lines produces two sets of linear pairs with congruent angles, according to this theorem. Moreover, it indicates that the neighboring angles created by the junction of these two lines are supplementary, or 180 degrees.

Here,

THEOREM:

According to the Vertical Angles Theorem, two crossing lines' opposing (vertical) angles must be equivalent.

THE ISSUE:

Show that ∠1 ≅∠3 and ∠2 ≅ ∠4

PROOF:

(1) A straight line measures 180 degrees; m∠1 + m∠2 = 180°

(2)  m∠3 + m∠2 = 180°; the length of a straight line is 180.

(3) Since the sum of the two left-hand sides of the equation equals 180 degrees, the transitive principle of equality holds that   m∠1 + m∠2 = m∠3 + m∠2       

(4) m∠1 = m∠3       which demonstrates the equality's subtraction property ( m∠2 is subtracted from both sides).

Definition of congruent angles: (5) ∠1 ≅ ∠3 

Likewise, for ∠2 ≅∠4:

(1)   m∠3 + m∠2 = 180°  a straight line has a 180° length.

(2) m∠3 + m∠4 = 180°  a straight line has a 180° length.

(3) Since both of the equation's left-hand sides add up to 180 degrees, the expression   m∠3 + m∠2 = m∠3 + m∠4        / transitive property of equivalence.

(4)  m∠2 = m∠4    , demonstrating the equivalence of subtraction (m∠3 is subtracted from both sides).

// definition of congruent angle , ∠2 ≅ ∠4      

We have therefore established the theorem.

Therefore, we have proven the vertical angles theorem by using congruency properties.

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The number of right-handed players in the local little league given its percentage is 28

Based on the given task content; the number of right-handed players there can be determined by solving the percentage of right-handed players.

Number of right-handed players = Percentage of right-handed players × Total number of players in the local little league

= 40% × 70

= 40/100 × 70

= 0.4 × 70

= 28

In conclusion, the total number of right-handed players is 28

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The description of the proportional relationship represented by the equation y = 8 - 5x is A. The graph is a line that goes through points (0, 8) and ( 4, -12 ).

The graph is given in the form of a linear equation which is y = mx + b. In this equation, b is the y - intercept, or the point the line crosses the y - axis when x is 0. This point on y = 8 - 5x, is 8.

If the line passes through the x axis at point 4, then the y - intercept would be :

= 8 - 5 ( 4)

= 8 - 20

= - 12

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Options for this question are:

Answer:

  8/17

Step-by-step explanation:

You want the ratio of 32 mm to 6.8 cm, compared in mm.

The ratio of interest is ...

  (32 mm)/(6.8 cm) = (32 mm)/(68 mm) = (4·8)/(4·17) . . . . . mm cancels

  = 8/17

The ratio of ball diameters is 8/17.

Polynomials can be divided using long division method and

synthetic division method.

What is a polynomial?

Algebraic expressions which are made up of coefficients and variables are called polynomials.

For example x + 3, 3y² -10, r³, t³ + 4t³ - 80, etc.

Polynomials can be classified as monomials, binomials and trinomials based upon the number of terms present.

According to the given question:

There are two methods that can be employed while dividing two given polynomials:

1. Long Division Method

The long division method is the most frequent and general method for dividing polynomials by binomials or any other form of polynomials.

Steps:

Step 1: Divide the dividend’s first term by the divisor’s first term, and use it as the quotient’s first term.

Step 2: Multiply the divisor, then place the product beneath the dividend

Step 3: To make a new polynomial, subtract.

Step 4: Use the new polynomial obtained after subtraction to repeat the operation.

2. Synthetic Division Method

It is a technique for dividing a polynomial by a linear binomial using only the coefficient values. We write the polynomials in standard form from the greatest degree term to the lowest degree term in this manner.

Steps:

Step 1: Ensure that the divisor is in the form of x − k.

Step 2: Write the dividend coefficients on the right and k on the left to set up the division.

Step 3: Now, reduce the coefficient of the dividend’s highest degree term to zero.

Step 4: Multiply k by that leading coefficient and write the product below the second coefficient on the dividend’s left side.

Step 5: Multiply the numbers in the second column.

Step 6: Multiply k by the number obtained in step 5 and write the result in the next column to the right.

Step 7: Finally, we’ll write the final solution, which will be one degree below the dividend.

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X=77

y=77by 2

answer is complete

Answer:

.00008

Step-by-step explanation:

8x10^-5 = .00008

Your moving the dot over 5 times to the left since its negative. If it was postive you wold move the dot 5 times to the right

Answer: 0.00008

Step-by-step explanation: Yes, I know there are A LOT of zeros. So, to find this answer, you would rewrite the answer like this:

- 8*10^(-5)

So, here's a little trick, you multiply 8 by 10, to get 80. Then, since it is -5, you move 5 decimal places to the LEFT. This is why there are so many zeros. I hope this explanation helped!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

First think about how many times 5 goes into 32. That would be 6 times since 6*5 is 30.

Now we just have the 2 from the 32 left over. The two will be put on top of the 5 from 32/5 so it will be 2/5

Put the two together and it would be 6 and 2/5

Answer:

C) Cube 2.

Step-by-step explanation:

Cubing 2 means to take 3 as an exponent of 2.

Parantheses

Exponents  ==> 2³

Multiplication  ==> 3*2

Division  ==> 2³ ÷ 4

Addition

Subtraction  ==> 2-2³

In PEMDAS, Exponents is the second highest priority in an equation, so it comes first in 3×2-2³ ÷ 4 as there is no parantheses.

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We know that,

Inequality-

In mathematics, the relationship between two expressions or values that are not equal is called an inequality.

Group terms with the same variable and move the constant to the other side of the inequality

What causes inequality?

Inequality image result

The main factors behind the widening domestic income inequality mentioned in the literature include technological progress, globalization, commodity price cycles, and domestic economic policies such as redistributive fiscal policies, labor and product market policies. It is included.

According to the question,

Given data in the question,

4x + 12 ≤ 28

Substrating (28-12)=16

We can say that,

4x  ≤ 16

16 divided by 4.

Therefore,

(16/4)=

x<4

the value of x is less than 4,

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3 is the value of x  which makes the given inequality true.

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics.  On the number line, it is most frequently used to compare the sizes of two numbers. To represent various types of inequalities, a variety of notations are used:

A < B, such as a, denotes that an is greater than b.

A > B indicates that an is greater than b.

A and b are not equivalent in either scenario. As a result, an is strictly less than or strictly greater than b, and these relationships are referred to as strict inequalities. Equivalence is disregarded.

According to the question,

Given data in the question,

4x + 12 ≤ 28

Substrating (28-12)=16

We can say that,

4x  ≤ 16

16 divided by 4.

Therefore,

(16/4)=

x<4

the value of x is less than 4,

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Answer:

x=6

Step-by-step explanation:

12-6=6 or 6+6=12

Answer:

You would have $6055.36 in 7 years.

Step-by-step explanation:

Answer: y = 11 , x =3

Step-by-step explanation:

Since its an isosceles triangle , two angles or two side are equal.

So lets take 5y - 3 as one of the equal angles, so

5y-3+ 5y-3 + 76 = 180 (angles in a triangles should add up to 180)

10y - 6 + 76 = 180

10y = 180 - 70

10y =110

y = 110/10

y = 11

Now, since we found y we need to find x.

Lets us take 8x and 13x - 15 as the equal sides.

8x = 13x - 15

8x - 13x = -15

-5x = -15

x = -15 / -5

x = 3

so we found the values of x and y !

Answer:

Step-by-step explanation:

You want the values of x and y, given an isosceles triangle with congruent sides JK=8x and KL=13x-15, angle K=76°, and angle J=(5y-3)°.

  JK = KL

  8x = 13x -15

  15 = 5x . . . . . . add 15-8x

  3 = x . . . . . divide by 5

The sum of the angles in the triangle is 180°.

  2(∠J) +∠K = 180°

  2(5y -3) +76 = 180 . . . . substitute known values, divide by °

  10y +70 = 180 . . . . . . simplify

  y +7 = 18 . . . . . . . . divide by 10

  y = 11 . . . . . . . . . subtract 7

The values of x and y are 3 and 11, respectively.

The total cost at the peoples paper be less expensive will represent by the inequality 650 + 80w <  145w.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given that the daily info newspaper charges a fee of $650 plus $80 per week to run an ad.

Assume that after w weeks the total cost at the peoples paper be less expensive.

To run ad. for w week, the cost will be 80w.

The total cost of material of newspaper is p(w) = 650 + 80w

The peoples paper charges $145 per week.

The peoples paper charges after w week will be f(w) = 145w.

According to the question:

p(w) < f(w)

650 + 80w < 145w

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The quadrilateral that has vertices (2,0), (0,-2), (-2,4) and (-4,2) is option

b. rectangle

To determine the special quadrilateral that is formed by connecting the midpoints of the sides of the quadrilateral with vertices (2,0), (0,-2), (-2,4) and (-4,2), we can find the midpoints of each side and then determine the shape formed by these points.

The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment. To find the midpoint of a line segment, we can take the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.

We can find the midpoint of the side between (2,0) and (0,-2) by taking the average of the x-coordinates (2 and 0) and the average of the y-coordinates (0 and -2), which gives us the point (1,-1).

We can find the midpoint of the side between (0,-2) and (-2,4) by taking the average of the x-coordinates (0 and -2) and the average of the y-coordinates (-2 and 4), which gives us the point (-1,1).

We can find the midpoint of the side between (-2,4) and (-4,2) by taking the average of the x-coordinates (-2 and -4) and the average of the y-coordinates (4 and 2), which gives us the point (-3,3).

We can find the midpoint of the side between (-4,2) and (2,0) by taking the average of the x-coordinates (-4 and 2) and the average of the y-coordinates (2 and 0), which gives us the point (-1,1).

Therefore, the special quadrilateral formed by connecting the midpoints of the sides of the given quadrilateral is a rectangle.

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Answer:

x = -1.875

Step-by-step explanation:

-2 (5x + 8) = 14 + 6x

-10x - 16 = 14 + 6x

-16x = 30

x = 30/-16

x = -1.875

Answer:

9.1

Step-by-step explanation:

9.1 would be greater because it is basically 9 + 0.1.