pls help me plssssssssssssssss brainlist if possible​

Hi there!

Angles in a triangle sum up to 180°, so:

180° = 110° + 5x° + 2x°

Simplify:

180° = 110° + 7x°

Subtract both sides by 110:

70° = 7x°

Divide both sides by 7:

x = 10°

Plug in to solve for the other angles:

5x = 5(10) = 50°

2x = 2(2) = 20°

a. The bank can initially lend out $15.00.

b. The money in the economy changes by $20.00.

c. The money multiplier is 4.

d. Eventually, $80.00 will be created by the banking system from Jon's $20.00.

Let us analyze each section separately:

a. To calculate the amount of money the bank can initially lend out, we need to determine the bank's reserves.

Given that the bank keeps 25% of its money in reserves, we can find the reserves by multiplying the deposit amount by 0.25.

In this case, the deposit amount is $20.00, so the reserves would be $20.00 * 0.25 = $5.00. The remaining amount, $20.00 - $5.00 = $15.00, is the money that the bank can initially lend out.

b. When Jon deposits the $20.00 bill into the bank, the money in the economy remains unchanged because the physical currency is converted into a bank deposit. Therefore, there is no change in the total money supply in the economy.

c. The money multiplier determines the overall increase in the money supply as a result of fractional reserve banking. In this case, the reserve requirement is 25%, which means that the bank can lend out 75% of the deposited amount.

The formula to calculate the money multiplier is 1 / reserve requirement. Substituting the value, we get 1 / 0.25 = 4.

Therefore, the money multiplier is 4.

d. To calculate the amount of money created by the banking system, we multiply the initial deposit by the money multiplier. In this case, Jon's initial deposit is $20.00, and the money multiplier is 4.

So, $20.00 * 4 = $80.00 will be created by the banking system from Jon's $20.00 deposit.

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Answer:

V = 60 m³

Step-by-step explanation:

Volume of Triangular Pyramid: V = 1/3bh

Area of Triangle: A = 1/2bh

b = area of bottom triangle (base)

h = height of triangular pyramid

Step 1: Find area of base triangle

A = 1/2(8)(5)

A = 4(5)

A = 20

Step 2: Plug in known variables into volume formula

V = 1/3(20)(9)

V = 1/3(180)

V = 60

The length of each side of the square is 5.5 centimeters and the length of each side of the triangle is 8 centimeters. The perimeter of the square is 22 centimeters.

Each side of the triangle = Perimeter of the equilateral triangle ÷ number of sides

= 24 / 3

= 8 centimeters

So

8 = 2.5 + s

Subtract 2.5 from both sides

8 - 2.5 = s

5.5 centimeters = s

The perimeter of the square = 4 × s

= 4 × 5.5

= 22 centimeters.

Therefore, the Length of each side of a square = 5.5cm, Length of each side of a triangle = 8cm, and Perimeter of the square = 22cm

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Answer: 5.5, 8, and 22 centimeters

Answer:

Step-by-step explanation:

Given kite BCDE and

We know diagonals of kite are perpendicular to each other, hence ADC is a right triangle.

Using Pythagorean, find the missing side AC:

So AC is 45 units long

An expression that represents the measure of the third side is 4x.

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

The perimeter of the triangle is 3x² - 7x + 2.

And the measures of the two sides are x² - x - 4 and 2x² - 10x + 6.

The measure of the third side = the perimeter of the triangle - (the total measure of the two sides)

The measure of the third side = 3x² - 7x + 2 - (x² - x - 4 + 2x² - 10x + 6)

The measure of the third side = 3x² - 7x + 2 - (3x² - 11x +2)

The measure of the third side = 4x

Therefore, the measure of the third side = 4x.

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The value of x is 5.

We have,

Kite ABCD ~ kite PQRS

This means,

The ratio of the corresponding sides is equal.

Now,

AD/PS = AB/PQ

Cross multiply.

16/24 = 8/(5x - 3)

Simplify.

4/6 = 8/(5x - 3)

5x - 3 = (8 x 6) / 4

Combine like terms

5x - 3 = 12

5x = 12 + 3

Divide 3 on both sides.

5x = 15

x = 5

Thus,

The value of x is 5.

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The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

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In summary, when the two new children (ages four and twelve) are added to the existing group, the mean age increases from 8 to 8, and the standard deviation changes from its original value to approximately 3.74.

To determine the effect of adding two children (ages four and twelve) to the existing group of five children (ages five, six, eight, nine, and twelve) on the mean and standard deviation of ages, we need to calculate the new values.

Let's calculate the mean first:

Calculate the sum of the ages of the initial five children:

5 + 6 + 8 + 9 + 12 = 40

Add the ages of the two new children:

40 + 4 + 12 = 56

Calculate the new mean by dividing the sum by the total number of children (5 initial + 2 new):

56 / 7 = 8

Therefore, the new mean age is 8.

Now let's calculate the standard deviation:

Calculate the squared difference between each age and the mean for the initial five children:

\((5 - 8)^2 + (6 - 8)^2 + (8 - 8)^2 + (9 - 8)^2 + (12 - 8)^2 = 54\)

Calculate the squared difference between each new age and the new mean:

\((4 - 8)^2 + (12 - 8)^2 = 80\)

Calculate the sum of the squared differences for the initial five children and the new children:

54 + 80 = 134

Divide the sum of squared differences by the total number of children (5 initial + 2 new) and take the square root:

√(134 / 7) ≈ 3.74

Therefore, the new standard deviation is approximately 3.74.

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In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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The population proportion at the 300 people polled, 75 of them correctly identified the corgi, has a 95% confidence interval of [0.20,0.30].

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of values.

Here,

t-value of 95% confidence interval= 1.967

x/17=75/300

x=0.25

=p ± t√(p(1-p)/n)

=0.25±1.96(0.025)

=0.25±0.049

=[0.20,0.30]

The 95% confidence interval for the population proportion at the 300 surveyed 75 correctly identify the corgi will be [0.20,0.30].

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In converse, a segment is divided into two congruent portions if a line bisects it.

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable

x  =  11+3y/8

Step-by-step explanation:

Answer:

4(2x + y) = 11 + 7y

1. expand the brackets 8x + 4y = 11 + 7y

2. move +4y to the other side 8x = 11 + 3y

3. move 8 to the other side x= (11 + 3y)/8

Step-by-step explanation:

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Without any additional information about the intercepted arcs or the relationship between the angles, we cannot determine their exact values.

Given that angle d outside of a circle is 43 degrees, we can use the following properties of angles in circles to find the values of angle a, angle b, and angle c:

1. Inscribed Angle: The measure of an inscribed angle is half the measure of its intercepted arc.
2. Central Angle: The measure of a central angle is equal to the measure of its intercepted arc.
3. External Angle: The measure of an external angle is half the difference between the measures of its intercepted arcs.

Using these properties, we can find the value of angle a, angle b, and angle c. However, Please provide more information about the angles' relationships or the intercepted arcs.

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The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

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The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

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(i) When testing whether girls who attended girls-only high schools do better in math, it is important to control for various factors that could potentially influence math scores.

Some factors to consider are:

(ii) The equation relating the math score (score) to girlhs (dummy variable indicating girls-only high school attendance) and other factors can be written as:

score = β0 + β1 * girlhs + β2 * socioeconomic status + β3 * prior academic performance + β4 * school quality + β5 * peer effects + β6 * teacher quality + β7 * access to resources + ε

This equation represents the structural relationship between the math score and the factors being controlled for. The coefficients β1, β2, β3, β4, β5, β6, and β7 represent the respective effects of girlhs and the other factors on the math score.

(iii) Parental support and motivation, which are unmeasured factors, may be correlated with girlhs. This is because parents who choose to send their daughters to girls-only high schools might have certain preferences or beliefs regarding education, which could include providing higher levels of support and motivation. However, without directly measuring parental support and motivation, it is difficult to establish a definitive correlation.

(iv) To ensure that numghs (the number of girls-only high schools within a 20-mile radius of a girl's home) is a valid instrumental variable (IV) for girlhs, certain assumptions are needed:

(v) If the coefficient estimate on the chosen IV numghs is negative and statistically significant in the reduced form estimation, it suggests a strong relationship between the instrumental variable and the attendance at girls-only high schools. This provides some confidence in the validity of the IV. However, the decision to proceed with IV estimation should also consider other factors such as the strength of the instruments, the overall model fit, and the robustness of the results to alternative specifications.

It is important to carefully evaluate the assumptions and limitations of the IV estimation approach before drawing conclusions in math.

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Here is your answer and an explanation

Answer: y = -2/3x

Explanation:

This can be determined by calculating the gradient of the straight line, using:

m=ΔyΔx

=−6−34−(−2)

=−96

=−32

Then we use the slope-point form of the straight line:

y−y1=m(x−x1)

to give:

y−3=−32(x−(−2))

∴y−3=−32(x+2)

∴y−3=−32x−3

∴y=−32x

Answer:

We have to estimate the sum of

→7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

When Rounded to nearest tens

7.95 → 8.00

8.11→ 8.00

78.5→79

8.05→8.00

79.4→79.0

0.815→1

Step-by-step explanation:

So,estimation of the above rational numbers with addition as an operation is done,the result is

→8 + 8 + 80 + 8 + 80 + 0.8 = 184.8, is not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.

Acceptance sampling is a statistical method used to monitor the quality of purchased parts and components. To ensure the quality of incoming parts, a purchaser or manufacturer normally samples 20 parts and allows one defect.

a) Concerned with inspection of products

b) Concerned with decision making regarding products

c) One of the oldest aspects of quality assurance

The Acceptance sampling procedure is necessarily a lot sentencing procedure. It cannot be used to estimate the lot quality or lot conformity to the standard specifications.

The acceptance sampling is used when the test is destructive, or the cost of 100% inspection is quite high, or when we need a continuously monitoring program

The Acceptance sampling procedure is used for decision making of either acceptation or rejection of a lot. It can’t be used as a lot quality estimator

As Acceptance sampling is just a lot sentencing process, it can’t estimate the quality of products in the lot. But designed experiments ensure good quality of the process output before even production

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The values of x and y are 18,14 respectively.

What is Triangle  ?

Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.

Given ,

From the given figure ,

JK is a midsegment of triangle FGH.

And

FG = 28

FJ = x

JH = 10

JK = y

As, JK is midsegment of FG

So,

JK = FG / 2

y = 28 / 2

y = 14

So, the value of y could be 14.

And FG = 28

So,

FJ + JH = FG

10+x = 28

x = 28 - 10

x = 18

So, the value of x could be 18.

Hence, The values of x and y are 18,14 respectively.

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From the information given in the Poisson Distribution, the probability that  that no more than three customers arrive that is P (X≤3) = 0.0817.

What is a Poisson Distribution?

The Poisson distribution is a discrete probability distribution in probability theory and statistics that articulates the likelihood of a specific number of events happening in a fixed interval of time or space if these events occur with a particular frequency mean rate and regardless of the time since the last event.

What Are the Poisson Distribution's Assumptions?

To be correct, all events must be independent of one another, the pace of occurrences must be steady across time, and events cannot occur concurrently. Furthermore, the mean and the variance will be equal.

What is the justification for the above result?

According to a Poisson distribution, seven people come at a checkout counter in a department store every hour on average. i.e λ=7

Probability (P) that no more than three customers arrive is notated as P(X≤3)

= P(X=0) + P(X=1) + P(X=2) + P(X=3)

= Poisson (3,7,1)  

= 0.0817

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Answer: XYW = 32, WYZ = 85

Step-by-step explanation:

We are looking for what x is, which we can find with the formula:

117 = (6x+44) + (-10x+65)

117 = -4x + 109

8 = -4x

x = -2

We can verify this is correct by plugging it in and seeing if they add up to 117.

6x + 44 (XYW)

= 6(-2) + 44

= -12 + 44

= 32

-10x + 65 (WYZ)

= -10(-2) + 65

= 20 + 65

= 85

32 + 85 = 117

The subtraction sentence where the difference is positive which uses a positive and negative integer are written as  5 - (-3) =8.

Integers are all real , rational numbers except the decimals and fractions. There are 3 types of integers : positive negative and zero integers.

Integers include zero, a positive natural number, and a negative integer represented by a minus sign. The negative numbers are the inverse additions of the comparable positive numbers.

There are two cases;

Case 1;

when modulus of positive integer ≥ modulus of negative integer;

Example; 5 - (-3) = 5 + 3 = 8  (Here, |5| > |-3|)

Case 2;

when modulus of positive integer ≤ modulus of negative integer;

Example; 5 - (-10) = 5 + 10 = 15  (Here, |5| < |-10|)

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The woman has €123,750 left after paying taxes.

To calculate how much the woman has left after paying taxes, we need to determine her taxable income and then subtract the tax amount.

The woman earns €150,000 per annum and is allowed a tax-free pay of €45,000. This means that her taxable income is the difference between her total income and the tax-free allowance:

Taxable Income = Total Income - Tax-Free Pay

= €150,000 - €45,000

= €105,000

Next, we need to calculate the tax amount based on the taxable income. The woman pays 25 cents per euro as tax on her taxable income, which can be expressed as a tax rate of 25%.

Tax Amount = Tax Rate * Taxable Income

= 0.25 * €105,000

= €26,250

Finally, we can determine the amount the woman has left after paying taxes by subtracting the tax amount from her total income:

Amount Left = Total Income - Tax Amount

= €150,000 - €26,250

= €123,750

Therefore, the woman has €123,750 left after paying taxes.

It is important to note that tax calculations can vary depending on the specific tax laws and regulations in a particular jurisdiction. The above calculation assumes a tax rate of 25% and does not take into account any additional deductions or credits that may apply.

It is always advisable to consult with a tax professional or refer to the tax laws in the relevant jurisdiction for accurate and up-to-date information regarding tax calculations.

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Answer:

\(x=\displaystyle\frac{5+\sqrt{21}}{2}\) or \(x=\displaystyle\frac{5-\sqrt{21}}{2}\)

Step-by-step explanation:

Hi there!

\((x+1)^2=7x\)

Expand the parentheses:

\(x^2+2x+1=7x\)

Move 7x to the other side:

\(x^2+2x-7x+1=0\\x^2-5x+1=0\)

Apply the quadratic formula:

\(x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac}}{2a}\) where \(ax^2+bx+c=0\)

Plug in the values a, b and c:

\(x=\displaystyle\frac{-(-5)\pm\sqrt{(-5)^2-4(1)(1)}}{2(1)}\\\\x=\displaystyle\frac{5\pm\sqrt{25-4}}{2}\\\\x=\displaystyle\frac{5\pm\sqrt{21}}{2}\)

I hope this helps!

Answer:

C

Step-by-step explanation:

It would be the second next after. :)

Answer:

IT IS 85 popsicles

Step-by-step explanation:  it is in between the two

Answer:

x=2

Step-by-step explanation:

- 1/2x+1=7x−14