Every month Ms Smith's pays her car loan through automatic payments from her savings account she's pays the same amount on her car loan each month at the end of the year her savings account balance changed by negative 3,213 from payments made on her car loan What is the change in Ms Smith's saving account balance each month due to her car payments.

The value of a is 42.

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equal symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

[tex](15-a)/3=-9[/tex]

or, [tex]15-a=-9*3[/tex]

or,[tex]-a=-27-15[/tex]

or, [tex]a=42[/tex]

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The correct option 1. the slope of Equation A is steeper because 4/5 is bigger than 2/5.

The format of a linear function is as follows:

y = ax + b

That where:

Given by: Linear equation A

y = 4/5 x.

Points (0, 2) and pass through linear equation B. (5, 4).

Given that changes in y divided by change in x determines the slope between two points, we have that:

m = (4 - 2)/(5 - 0)

m = 2/5

Equation A is steeper as it contains a higher slope, so the appropriate response is:

Due to the fact that 4/5 is greater than 2/5, Equation A has a steeper slope.

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The complete question is-

Linear equation A: y=45x

Linear equation B is represented by this graph.

A line that passes through points (0, 2) and (5, 4).

Which statement is entirely correct?

By using the hypothesis test, to determine whether the mean of tickets is not equal to $125 is calculated as 58%.

We must compute the sample's z-score using the sample mean and standard deviation in order to determine the p-value for this hypothesis test. The z-score calculates how far the sample mean deviates from the population mean by standard deviations.

The difference between the two means is $5 if the population mean is $125 and the sample mean is $120. Given that the sample's standard deviation is $25,

z-score =  [tex]\frac{5}{25}[/tex] = 0.2.

We must utilize the z-score to hunt for the equivalent value in a typical normal table in order to determine the p-value. The chance of selecting a sample with a mean of $120 from a population with a mean of $125 is known as the p-value.

The probability that a sample with a z-score of 0.2 would be taken from a population with a mean of $125 is the p-value in this instance. When we look for 0.2 in a typical normal table, we discover that the p-value is roughly 0.58. As a result, 0.58 is the p-value for this hypothesis test. The probability that a sample with a mean of $120 would be taken from a population with a mean of $125 is therefore 58%.

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Answer:

Step-by-step explanation:

1085 different combination of 3 movie she can rent.

What is linear equations?

Linear equations is a type of equation that is in between two variables that gives a straight line.

The calculation of  number of different combinations of 3 films she can rent if she needs at least two documentaries is shown below:-

=N×(2× documentry and 1 horror movies)+N×(3 documentry)

=(6C1)×(15C2)+(6Co)×(15C3)

= 630 + 455

= 1,085

Therefore for calculating the number of different combinations of 3 films she can rent if she needs at least two documentaries we simply applied the above formula and here we consider one number in the question as it shows the double number.

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This study was conducted to test the effects of dietary supplementation of feed grade L - Met on growth performance.

Given :

based on this scatterplot , we observe that there are 6 groups of turkeys, each group receiving a different amount of methionine supplement (ranging from 0% to 44%).

Initial BW of birds did not differ among treatments. Weight gain of birds during 28 d feeding period increased ( P < 0.05 ) from 690 to 746 g ( an average of 0.33 % DL-Met and L-Met ) as dietary Met supplementation regardless of Met source increased from 0 to 0.33%. However, the source of Met did not affect the weight gain of birds.

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The total number of possible ways to complete the test would be 2048.

Total number of questions = 11

Each equation has two possible answers (either true or false).

We need to find the total number of ways in which the test can be​ completed.

the total number of possible ways to complete the test= 2×2×2×2×2×2×2×2×2×2×2

the total number of possible ways to complete the test=

2¹¹

Therefore the total number of possible ways to complete the test is 2048.

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By information provided in the question, we can say that It is the probability of a Type I error.

The proportion of favorable outcomes to all possible outcomes for an event is known as the probability. The quantity of positive outcomes in an experiment with 'n' outcomes is represented by x. The following equation can be used to determine the likelihood of an event:

Probability (event) = positive outcome / overall outcome = x/n

It refers to the likelihood of a Type I mistake.

The likelihood that a Type I error will occur, or the likelihood that a null hypothesis will be rejected when it is true, determines the degree of significance.

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The number of gallons of gas that Lora can fill in 1 minute will be 18/5 or 3.6 gallons.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

At a gas station, Lora took 1/6 minute to fill 3/5 gallons of gas. And we know that the ratio will remain constant.

Let 'x' be the number of gallons. Then the amount of gallons in each minute is calculated as,

(3/5) / (1/6) = x / 1

Simplify the equation, then we have

(3/5) / (1/6) = x / 1

(3/5) × 6 = x

x = 18 / 5

x = 3.6 gallons

The number of gallons of gas that Lora can fill in 1 minute will be 18/5 or 3.6 gallons.

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Moving this barrel up a ramp required around 339.41 foot-pounds of labour from Alexa.

W = F.d

When the dot product is expanded, we get:

W=Fd cos(Ф)

We can plainly see from the given statement that:

applied force = F = 120 pounds

d = 4 feet for displacement.

F's angle with the horizontal is Ф = 45 degrees.

When the formula's values are substituted, we obtain:

W = 4 * 120 * cos (45)

W equals 339.41 foot pounds.

This indicates that lifting the barrel up this ramp required roughly 339.41 foot-pounds of labour from Alexa.

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The complete question is-

Alexa is pushing a construction barrel up a ramp 4 feet long into the back of a truck. She is using a force of 120 pounds in a horizontal direction and the ramp is 45 degrees from the horizontal. How much work is Alexa doing?

The average deviation from the mean is 0.19 that can be calculated from the mean.

An average is calculated for a set of numbers that are of the same value range.

Mean = (32.52+32.14+32.61+32.75)/4 = %32.50

Standard deviation =

|32.50-32.52| = 0.02

|32.50-32.14| = 0.36

|32.50-32.61| = 0.11

|32.50-32.75| = 0.25

(.02+.36+.11+.25)/4= 0.19

So the standard deviation is 0.19

Relative deviation = .19/32.50=0.0058 or %0.58

Yes, %32.14, because it deviates too far from the average.

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2x^2 −3x +9=0 is the given equation that is quadratic.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax^2 + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable.

Quadratic expressions are those involving powers of x up to the second power, not the fourth power, hence the prefix quad signifies "four" rather than "two."

As highest power of variable is 2 so the expression 2x^2 −3x +9=0 is quadratic.

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Answer: a₁₄=90x-31

Step-by-step explanation:

-x-5,  6x-7,  13x-9 ...

Hence,

a₁=-x-5

a₂=6x-7

a₃=13x-9

d=a₂-a₁

d=6x-7-(-x-5)

d=6x-7+x+5

d=7x-2

aₙ=a₁+d(n-1)

a₁₄=-x-5+(7x-2)(14-1)

a₁₄=-x-5+13(7x-2)

a₁₄=-x-5+91x-26

a₁₄=90x-31

Answer: c<4

Step-by-step explanation:

C fewer than 4 means that c is smaller than 4! So we use this mark <

So the answer is c<4

The width of the parking lot is 78 m

We have been given the perimeter of a rectangular parking lot which is equal to 350 m.

We know the perimeter of a rectangular plot is 2 X (width of the plot ) + 2 X (length of the parking lot ).

And the length of the parking lot is given as 97 m.

2 X (width of the plot ) +2 X (length of the parking lot ) =350 m

2 X (width of plot ) + 2 X 97 =350

2 X (width of the plot ) =156 m

width of the plot = 78 m

Hence the width of the plot is 78 meters.

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The width of this rectangular parking lot is equal to 78 meters.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following:

P = 2(L + W)

350 = 2(97 + W)

175 = 97 + W

Width, W = 175 - 97

Width, W = 78 meters.

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Answer:  c. [tex]\frac{1}{a}[/tex].

Step-by-step explanation:

10 = 2 - 4(ax - 3)

10 = 2 - 4ax + 12

10 = 14 - 4ax

Minus 14 on both sides.

-4 = -4ax

Divided -4 on both sides.

1 = ax

Divided a by both sides to solve x.

[tex]\frac{1}{a}[/tex] = x

Therefore, the answer is c.

A parabola is a curved form that represents the graph of a quadratic function. The vertex of a parabola is one of its focal points. The highest or lowest point on the graph corresponds to it. Consider it similar to the parabola's endpoint.

What does the term "quadratic function" mean?

A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabola is the shape of a quadratic function's graph.

                 The basic "U" shape of a parabola is the same whether it opens upward or downward, or with a different "width" or "steepness."

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The weighing of the balance scale required to find a lighter counterfeit coin among four coins, is twice.

In just two balance scale weighs, it is feasible to identify which of four coins is the lighter fake coin. Here is one approach:

Then, weigh the two groups against one another after splitting the four coins into two groups of two coins each. The lighter counterfeit currency must belong to the group that is lighter than the other if there are two groups. If the two groups of coins weigh the same, then one of the two remaining coins must be the lighter counterfeit coin.

Weigh the two coins from the lighter group (or the two still present, if the first step was unsuccessful) against one another.

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Answer:

B and E

Step-by-step explanation:

100-65=35 so the number of days they didn't have homework was 35. 35/100 and 35% represent this.

The solution of i^100 = 1 is [tex]i^{100} = 1[/tex] .

Simplify

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Power

In mathematical relationships, power is referred to the number of times a number is multiplied by itself meaning the number you get raising a number to an exponent whereas an exponent can be defined as the number of times the number is used in a multiplication. Exponents are often known as powers or indices.

Exponents

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power.

Rewrite [tex]i^{100}[/tex] as [tex](i^{4} )^{25}[/tex]

One to any power is one.

1

From the fact that [tex]i^{2}[/tex] = −1,

Then

([tex]-1^{50}[/tex]) = 1 as −1 raised to any even power is 1.

[tex]i^{100} = 1[/tex]

i^100 = 1

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Answer: Yes

Step-by-step explanation: To determine if this graph represents a function, we use what is called the vertical line test.

In other words, if we can draw a vertical or straight up and down line that passes through more than one point on the graph, the relation is not classified as a function.

In this case, it's impossible to draw such a line that hits more than one point on the graph so the relation is a function.

The probability that the card will be a spade or a club 50%

Probability in math is referred as  how likely an event is to occur, or how likely it is that a proposition is true.

Here we have given that a card is drawn from a standard deck of 52 playing cards.

And we need to find  the probability that the card will be a spade or a club and we have to express your answer as a fraction or a decimal number rounded to four decimal places.

While we looking into the given question, we have identified the the total number of cards is 52.

And the number of spade cards = 13 and the number of club cards = 13

Therefore, the total number of spade and club cards

=> 13 + 13

=> 26

Therefore, the probability of getting a spade or  a club from a single draw is,

=> 26/52

When we simplified this one, then we get,

=> 0.5

When we convert this into percentage then we get

=> 50%.

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Answer:

karen will have enough for 14 people, and she will have 3 extra ducks left over

Step-by-step explanation:

divide 423 by 30

423/30 = 14

14 times 30 is 420, so subtract 420 from the total number of rubber ducks

423 - 420 = 3

so, karen will have enough for 14 people and 3 ducks will be left over !!

Answer:

Karen we'll have enough for 14 people and have 3 ducks left over.

The probability of the indicated event is  1/110.

P(2red, pink) = P(2red, pink)/P (pink)

There are a total of 1 ways to get 2 red and pink, for a total of 1 possible triples. P(2red and pink) = 1/220 P(pink) = Number of ways to get 1 pink = 1*11*10 Number of potential triples = 220 P(1 pink in 3) = 110/220 = 1/2 ———-

P(2red | pink) = (1/220)/(1/2) = 2/220 = 1/110 ————————————————

Cheers,

Stan H.

To determine the likelihood, apply the procedure below: Find an event with a single result in Step 1. 2. Determine the total number of possible results. Step 3: Subtract the number of fortunate occurrences from the total number of potential outcomes.

You can attempt to find the indicated probability using a variety of equations. The normal distribution model and the standard normal distribution are two techniques that you could choose to adopt since they are both frequently used to calculate suggested probability precisely.

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Irrational numbers are numbers that cannot be expressed as a ratio of integers and have digits that go on forever without repeating.

Irrational numbers are a type of real number which cannot be represented as a simple fraction. These numbers could be expressed in decimals but not in the form of fractions i.e., they cannot be written as the ratio of integers. Irrational numbers have endless non-repeating digits after the decimal point, hence cannot be expressed as terminating or repeating decimals. For example, when taking the square root of a number that is not a perfect square, it is going to be irrational number.

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The domain of the graph is {1, 2, 3, 4}

"All the values" that are input into a function are referred to as the domain of a function. The set of all potential inputs for a function is its domain.

Given:

As, we know domain of a function is the set of all possible inputs for the function.

from the Graph, we can find the coordinates ( 1, 10), (2, 20), (3, 40) and ( 4, 80)

So, the domain of the graph is {1, 2, 3, 4}

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Answer:

a. Point B

b. Point D

c. Point E

d. Point B

Step-by-step explanation:

See the attached image for a graphed solution with color-coded lines drawn.

Consequently, the function's average rate of change is -11.

A mathematical expression, rule, or law that describes the relationship between two independent variables and one dependent variable In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.

The function is given by .

The ratio of the dependent variable's change to the independent variable's change is referred to as the rate of change.

f(x)=[tex]x^{2}[/tex]-6x+6

x ranges from -7 to 2, with 2 being the highest value.

=> f(-7) = 49 + 42 + 6 = 97.

=> f(2) =- 12 + 6+4 = -2.

The average rate of change is

f(-7)-f(2)/-7-2

=> 97-(-2)/-9

=> 99/-9

=> -11

Consequently, the function's average rate of change is -11.

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