What is the solution to this inequality 10 X +18 < -2? A--x>-2. B--x <-2. C--x>2 D--x < 2

The highest point on the graph of the normal density curve is located at its mean represented by μ.

The highest point on the graph of the normal density curve is located at its mean. The normal density curve or the normal distribution is a bell-shaped curve that is symmetric about its mean. The mean of a normal distribution is the measure of the central location of its data and it is represented by μ. It is also the balancing point of the distribution. In a normal distribution, the standard deviation (σ) is the measure of how spread out the data is from its mean.

It is the square root of the variance and it determines the shape of the normal distribution. The normal distribution is an important probability distribution used in statistics because of its properties. It is commonly used to represent real-life variables such as height, weight, IQ scores, and test scores.

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Answer:

432

Step-by-step explanation:

Hope this helps!

Secondary data analysis type of research should jane conduct .

What does a secondary data approach entail?

The information that has previously been gathered from primary sources and made easily accessible for use in other researchers' studies is referred to as secondary data.

                        This particular type of data has already been gathered in the past. Data that has already been obtained by another party is referred to as secondary data.

What does secondary analysis research methodology entail?

Utilizing data that has already been collected for a previous study in order to pursue a research interest separate from the original work is known as secondary analysis.

                                   This interest could be a new research question or a different way of looking at the original question.

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\(f(x)=x^2-5x+6\)

↝ f(4) equals to substituting x = 4 in the equation.

Thus,

\(f(4)=4^2-5(4)+6\\f(4)=16-20+6\\f(4)=22-20\\f(4)=2\)

Therefore, f(4) = 2

Answer:

2

Step-by-step explanation:

f(4) = 4^2-5(4) + 6

     = 2

Answer:

1e-16

Step-by-step explanation:

(10^4)/(10^19) =

(10*10*10*10)/(10^19)=

(1,000)/(10^19) =

1,000/(10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10)=

1,000/(10,000,000,000,000,000,000) =

1,000/10,000,000,000,000,000,000 =

1e-16

The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

We can conclude that the Burger Quick has more wait time , because it has a larger median

The horizontal straight lines known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.

Any straight line that travels from left to right or right to left is referred to as a horizontal line. If two points on a line share the same Y-coordinates, the line is said to be horizontal in coordinate geometry. The word "horizon" is the source of this.

Based on the given information, we can conclude that the Super Fast Food drive-thru typically has a shorter wait time compared to the Burger Quick drive-thru.

The box on the Super Fast Food graph, with a line in the box at 12, indicates that the middle 50% of wait times lie between 8.5 and 15.5 minutes, which is the reason for this. In contrast, the Burger Quick graph's box, which spans the range of 9.5 to 24 on the number line with a line in the box at the value of 15.5, shows that the middle 50% of wait times are found to be between 9.5 and 24 minutes. This shows that, on average, there is a lengthier wait at the Burger Quick drive-thru than at the Super Fast Food drive-thru.

the Burger Quick has more wait time , because it has a larger median

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Answer:

A

Step-by-step explanation:

The Median is larger then Super Fast foods which means it has a longer time.

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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\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the AP.

1.) For the first Sequence, d= 4

so we get as, an = a + (n-1) d

an = 9/2 + (n-1) 4

an = 9/2 +4n -4

=> an = 1/2 + 4n

2.) d = 3

=> an = 10/3 + (n-1) 3

so, => an = 10/3 +3n -3

=> an = 1/3 +3n

3.) d = -0.2

=> an = 1/2 +(n-1) (-0.2)

=> an = 1/2 -0.2n +0.2

=> an= 0.7 -0.2n

The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

According to the statement

We have to find that the ice creams that neither are fat-free nor contain nuts.

So, For this purpose, we know that the

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

From the given information:

There are 35 flavors of ice cream at an ice cream parlor, 25 flavors contained ice creams.

Contain nuts = 25

Are fat free = 12

Are both = 8

Then

Contain nuts or are fat free = 25+12-8 = 29

Total = 35

Neither contain nuts nor are fat free = 35-29 = 6.

So, The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

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Answer:

The answer is B

Step-by-step explanation:

(a) The balance after first transaction is, $162.66.

(b) The balance after second transaction is, $109.63.

(c) The balance after third transaction is,  $2.33.

What is transaction?

An agreement that has been fulfilled between a buyer and a seller to exchange goods, services, or financial assets in exchange for cash is referred to as a transaction.

The following are a few examples of transactions: paying a supplier after receiving goods or services from them. acquiring ownership of a property the seller previously owned by paying the seller with cash and a note. remuneration for hours worked.

Given:

Mac Valent opened a new checking account and deposited his paycheck for $209.81.

We have to find the balance after each transactions.

The first transaction is of electric cooperative for $47.15.

So, the balance after first transaction is, $209.81 - $47.15 = $162.66.

The second transaction is of Sharp's Groceries for $53.03.

So, the balance after second transaction is, $162.66 - $53.03 = $109.63.

The third transaction is of Gimbles Auto Repair for $107.30.

So, the balance after third transaction is, $109.63 - $107.30 = $2.33.

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Complete question:

Complete question is attached below.

The mean weight of a randomly chosen vehicle is 3500 pounds.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean.

We are given that the weight of a randomly chosen american passenger car is a uniformly distributed random variable ranging from 1,749 pounds to 4,039 pounds.

Let X= weight of the passenger car

a/q, X is u(1,749, 4,039)

we know that mean= a+b/2

so a=1,749, b=4,039

hence, mean=1,749 +4,039/2

mean=3500 pounds

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The present ages of the father and son are 36 and 9, respectively.

The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.

Let's denote the present ages of the father as "F" and the present age of the son as "S".

From the information given, we have two equations:

Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 1, we can express F in terms of S: F = 45 - S

Now, substitute F in Equation 2 with 45 - S:

(45 - S - 5)(S - 5) = 4(45 - S - 5)

Simplify the equation:

(40 - S)(S - 5) = 4(40 - S)

Expand and simplify:

40S - 5S - 200 + 25 = 160 - 4S

Combine like terms:

35S - 175 = 160 - 4S

Add 4S to both sides:

35S + 4S - 175 = 160

Combine like terms:

39S - 175 = 160

Add 175 to both sides:

39S = 335

Divide both sides by 39:

S = 335/39

Simplify:

S ≈ 8.59

Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:

S ≈ 9

Now, substitute S = 9 into Equation 1 to find the father's age:

F + 9 = 45

Subtract 9 from both sides:

F = 45 - 9

F = 36

Therefore, the present ages of the father and son are 36 and 9, respectively.

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Answer:

Step-by-step explanation:

We are going to assume that the cylinder is filled with water to the brim

Given that the data of the cylinder is

height h= 180 cm

radius r= 60 cm

The formula for the volume of a cylinder is

\(volume= \pi r^2h\)

\(volume = 3.142*60^2*180\\\\volume= 3.142*3600*180\\\\volume= 20360.16 cm^3\)

The volume of water in the cylinder is 20360.16 cm^3

Answer:

answer is X= 175

Step-by-step explanation:

all you had to do is to get rid off both 5 on left which would leave you with x and on right side the answer to 35×5 is 175

Um...wut is shoe commercial?

Anyway, she wants to split them equally among 4 neighbors and herself.

So do 5/5. It 1.

So everybody get 1 each.

---

hope it helps

Since we are lοοking fοr a negative sοlutiοn, the answer is x = -6.

In mathematics, an equatiοn is a statement that twο expressiοns are equal. An equatiοn usually cοntains οne οr mοre variables, which are placehοlders fοr unknοwn values. The variables can be represented by letters, such as x, y, z, and sο οn.

Tο find the pοsitive sοlutiοn tο the equatiοn \(y=6x^2-54\), we can set y tο 0 and sοlve fοr x as fοllοws:

\(0 = 6x^2 - 54\)

Adding 54 tο bοth sides:

\(54 = 6x^2\)

Dividing bοth sides by 6:

\(9 = x^2\)

Taking the square rοοt οf bοth sides:

x = ±3

Since we are lοοking fοr a pοsitive sοlutiοn, the answer is x = 3.

Tο find the negative sοlutiοn tο the equatiοn \(y =\frac{1}{2}x^2+x-12\), we can set y tο 0 and sοlve fοr x as fοllοws:

\(0 = \frac{1}{2}x^2 + x - 12\)

Multiplying bοth sides by 2 tο get rid οf the fractiοn:

\(0 = x^2 + 2x - 24\)

Factοring the left side:

0 = (x + 6)(x - 4)

Setting each factοr equal tο zerο and sοlving fοr x, we get:

x + 6 = 0 οr x - 4 = 0

x = -6 οr x = 4

Therefοre, Since we are lοοking fοr a negative sοlutiοn, the answer is x = -6.

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Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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The best description of how close the prediction was to the actual population in 2013 is option (A) with in 100 people

To solve this problem, we can use the exponential growth formula:

P(t) = P0 × e^(rt)

where P(t) is the population at time t, P0 is the initial population, r is the growth rate, and e is the mathematical constant approximately equal to 2.718.

We can use the given data to find the growth rate r:

58,000 = 42,000 × e^(r×30)

Dividing both sides by 42,000:

e^(r×30) = 58,000/42,000 = 1.38

Taking the natural logarithm of both sides:

r×30 = ln(1.38)

r = ln(1.38)/30

r ≈ 0.0106

Now we can use this growth rate to predict the population in 2013:

P(53) = 42,000 × e^(0.0106×53) ≈ 74,480

So the predicted population of 74,480 is within 520 people of the actual population of 75,000

Therefore, the correct option is (A) Within 100 people.

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The exponent expression that is used to express 75 as sum of the powers of 8 is \(8^0+8^1+8^2+8^\frac{1}{3}\).

What is an exponent?

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

The integer 75 is written as -

\(2^0+2^1+2^2+2^6\)

75 is expressed as sum of the powers of 2, with whole number exponents.

To find 75 expressed as sum of the powers of 8, divide the integer by 8 -

\(8^0=1\)

\(8^1=8\)

\(8^2=64\)

Only one integer 2 is left to complete the sum as 75.

To find what the power value is use the equation -

\(8^x=2\\x=\frac{2}{8} \\x=\frac{1}{3}\)

So, the last exponent is \(8^{\frac{1}3} }\).

So the expression is \(8^0+8^1+8^2+8^\frac{1}{3} =75\).

Therefore, the exponent expression is \(8^0+8^1+8^2+8^\frac{1}{3}\).

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The area under the standard normal curve to the right of z=−2.3 is approximately 0.0104.

To find the area under the standard normal curve to the right of z=−2.3, we can use a standard normal distribution table or a calculator.

Using a standard normal distribution table, we look for the value closest to -2.3 in the left-hand column and then read the corresponding area in the body of the table. We get:

Area to the right of z=−2.3 = 0.0104 (rounded to four decimal places)

Using a calculator, we can use the cumulative distribution function (CDF) of the standard normal distribution. Specifically, we want to find P(Z > -2.3), which is the same as 1 - P(Z < -2.3). Using a calculator, we get:

P(Z > -2.3) = 0.0104 (rounded to four decimal places)

Therefore, the area under the standard normal curve to the right of z=−2.3 is approximately 0.0104.

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From the given information provided, the value of the expression (-14⁰)⁻²

is 1 that is option d.

We need to follow the order of operations, which is to evaluate any exponents first, before performing any other operations.

Exponent rules are mathematical rules that describe how to simplify expressions that involve exponents.

(-14⁰)⁻² can be simplified as follows:

(-14⁰)⁻² = (-1)⁰ × 14⁰ × (-1)⁻² [Using the rule (\(a^m\))ⁿ = \(a^(m*n)\)]

(-14⁰)⁻² = 1 × 1 × 1/(-1)⁻² [Using the rule a⁰ = 1]

(-14⁰)⁻² = 1 × 1 × 1/1

(-14⁰)⁻² = 1

Therefore, the value of (-14⁰)⁻² is 1. Answer: d) 1

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Determine the interest payments for these three bonds. Here's a step-by-step explanation for each bond:

a. 3.80% coupon corporate bond (paid semiannually):
1. Convert the annual coupon rate to a semiannual rate: 3.80% / 2 = 1.90%
2. Calculate the interest payment: $1,000 (par value) * 1.90% (semiannual rate) = $19.00

The semiannual interest payment for the 3.80% coupon corporate bond is $19.00.

b. 4.55% coupon Treasury note:
1. As Treasury notes typically pay interest semiannually, we'll convert the annual coupon rate to a semiannual rate: 4.55% / 2 = 2.275%
2. Calculate the interest payment: $1,000 (par value) * 2.275% (semiannual rate) = $22.75

The semiannual interest payment for the 4.55% coupon Treasury note is $22.75.

c. Corporate zero coupon bond maturing in ten years:
Zero coupon bonds do not pay periodic interest. Instead, they are sold at a discount to their par value and mature at their full par value. In this case, there's no interest payment to calculate, as the bondholder will receive the $1,000 par value at the end of the ten-year maturity period.

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Answer:

y = 3x - 11

Step-by-step explanation:

Parallel lines have the same slope so the relationship of x and y stays the same only the constant, b,  changes

y = 3x + b

plug in point (2, -5) to find "b"

-5 = 3(2) + b

-5 = 6 + b

subtract 6 from both sides

-11 = b

The equation is

y = 3x - 11

Answer:

(2 , -5) are the points

then y =3x-x,let 4 be x

substitute 2&-5 in the line

-5 =3(2)-x

-5=6-x

-x=6 +5

=11

:x =-11

y=3x - (-11)

y =3x+11

Answer:

\( - \frac{1}{2} ( - 6x + 8y) \\ = \frac{1}{2} (6x - 8y) \\ = 3x - 4y\)

Answer:

12

Step-by-step explanation:

perimeter is (a+b) x 2 = 46

a is width and b is length

a=11

(11+b) x 2 = 46

22 + 2b = 46

2b = 24

b = 12 ( length )

Solution:

We know that:

Substitute the width in the expression:

Simplify the LHS:

Subtract 22 both sides:

Divide 2 both sides:

Answer:

#1

#2

#3

a) The scale factor of the dilated triangle is K = 1.6

b) The scale factor of the dilated triangle B is = 1.4

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the equation be represented as A

( h + 8 ) / ( h - 2 ) = 6

Multiply by ( h - 2 ) on both sides , we get

h + 8 = 2h - 12

Subtracting h and adding 12 on both sides , we get

h = 20

a)

Let the triangle be represented as L

Let the dilated triangle be represented as K

The measure of the sides of the triangle L are 8 , 10 and 15

The measure of the sides of the triangle K are 12.8 , 16 and 24

So , the scale factor is k = 12.8 / 8

The scale factor of the dilation k = 1.6

b)

Let the triangle be represented as A

Let the dilated triangle be represented as B

The measure of the sides of the triangle L are 15 , 28

The measure of the sides of the triangle K are 21 , 39.2

So , the scale factor is k = 39.2 / 28

The scale factor of the dilation k = 1.4

Hence , the dilation of triangles are solved

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