Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of
his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be
represented by the equation below, where s represents his total sales, in dollars, for
the week.
$300 + $0.07s = $426
How many dollars worth of merchandise did Mr. Randall sell last week?

In lambda expressions and lambda (λ) phrases, the Greek letter lambda () is used to signify binding a variable in a function. You can have typed or untyped lambda calculus.

Functions can only be used in typed lambda calculus if they are able to accept the "type" of data that the input is. The Greek symbol lambda () is commonly used to represent wavelength, which is equal to the speed (v) of a wave train in a medium divided by its frequency (f): wavelength = v/f. The majority of the time, students struggle to understand calculus because they don't practice after class, can't concentrate in class, have gaps in their math knowledge, and believe it's a waste of time.

The actions you can do to make calculus simple are listed below. Calculus is the most difficult math topic, and very few students, whether in high school or elsewhere, succeed in it. In vector space, linear algebra is a subset of abstract algebra. Matrix technology makes things less abstract and easier to understand because it is more concrete. The mean number of events within a particular period of time or space is denoted by the Greek letter lambda () in the Poisson distribution formula. For instance, = 0.748 floods annually.

Learn more about mean Visit: brainly.com/question/1136789

#SPJ4

Correct Question:

What does λ mean in calculus?

Answer:

i cant read that,

Step-by-step explanation:

On solving the provided question, we can say that from equation \(diagonal ^2 = 8^2 + 8^2\), the answer is \(DIAGONAL = 8\sqrt(2) \\\)

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

\(diagonal ^2 = 8^2 + 8^2\\diagonal ^2 = 64 + 64\\diagonal ^2 = 128\\diagonal ^2 = 64 * 2\\\)

\(diagonal ^2 = 8 * sq root (2)\\Diagonal of a square = SqrRoot (2 * side^2)\\Diagonal = \sqrt{2 * 8^2} \\Diagonal = \sqrt(128)\\\)

\(\sqrt(128) = \sqrt(2 * 64) = \sqrt(2) * 8\\DIAGONAL = 8\sqrt(2) \\\)

To know more about equation visit:

https://brainly.com/question/649785

#SPJ4

Answer:

I would say C

Step-by-step explanation:

I said C because when people look for information they look at different sources instead of just one.

Rolle's theorem:

If a function \(f\) is continuous on the closed interval \( [a, b] \) and differentiable on the open interval \((a,b)\) such that \(f(a) = f(b)\), then [tex)f′(x) = 0\) for some \(x\) with \( a \leq x \leq b\).

Tangent:

A tangent is parallel to the x-axis if the slope of the tangent is 0. So, using Rolle's theorem, if we consider \(x=-\pi/2\) and \(x=\pi/2\), then \(f(-\pi/2)=f(\pi/2)=-1\).

Since \(f(x)\) is continuous on \([-\pi/2, \pi/2]\) and differentiable on \((-\pi/2, \pi/2)\), \(f'(x)=0\) for some \(-\pi/2 \leq x \leq \pi/2\), and thus there is a point in this interval which is parallel to the x-axis.

Let x be the minimum number of cars Ken has to wash to reach his goal, then we can set the following linear equation:

Solving the above equation for x, we get:

Rounding up to the nearest whole number we get:

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

Learn more about confidence interval at https://brainly.com/question/15576092

#SPJ11

Answer:

150.9

Step-by-step explanation:

2/3x=100.6

x=100.6/(2/3)

x=100.6(3/2)

x=150.9

Answer:

It is answer B

Step-by-step explanation:

Answer:

total surface area of cube is 6 * area of one side

therefore area of one side is given 64cm^2

thickness is also given 5cm .

TSA is 64*5 = 320cm^2

hope it is helpful

Answer:

288 cm²

Step-by-step explanation:

The square base has an area of 64 cm².

That means the sides of the square base measure 8 cm.

The perimeter of the base is P = 4 * 8 cm = 32 cm.

The lateral area is Ph = 32 cm * 5 cm = 160 cm².

The two bases are congruent, and their combined area is 2 * 64 cm² = 128 cm².

The total surface area equals the sum of the lateral area and the area of the bases.

SA = 160 cm² + 128 cm²

SA = 288 cm²

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

The number is 270

Step-by-step explanation:

Let the number be 'x'

3/5 of x = 162

\(\frac{3}{5}*x = 162\\\\x=162*\frac{5}{3}\\\\x=54 * 5\\\\x = 270\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{270}}}}}\)

Step-by-step explanation:

Let the number be 'x'

\( \sf{ \frac{3}{5 } \: \: of \: x \: = 162}\)

⇒\( \sf{ \frac{3x}{5} = 162}\)

Apply cross product property

⇒\( \sf{3x = 162 \times 5}\)

Multiply the numbers

⇒\( \sf{3x = 810}\)

Divide both sides of the equation by 3

⇒\( \sf{ \frac{3x}{3} = \frac{810}{3} }\)

Calculate

⇒\( \sf{x = 270}\)

Hope I helped!

Best regards!!

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form is the form

y = mx + b

So you need to rearrange the terms to get the y all by itself on the left. On the right, the x term goes first and last the constant (a plain number) see image.

Answer:

x = 1

Step-by-step explanation:

6(x+4)=30    (divide both sides by 6)

(x+4) = 30/6

x+4 = 5   (subtract 4 from both sides)

x = 5 - 4

x = 1

Step-by-step explanation: 6(x+4)=30

(Distributive property): 6x+24=30

( Transposition method): 6x=30-24( + becomes -) 6x=6

(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1

The base of the triangle is 15 meters.

Here, we are given that the height of a triangle is 5 m longer than the base.

Let the height of the triangle be h

Then, the base of the triangle will be = h - 5

Further, we are given that area of the triangle = 150 meter square

We know that area of a triangle = 1/2 × base × height

⇒ 150 = 1/2 × h × (h-5)

150 × 2 = h(h-5)

300 = \(h^{2}\) - 5h

\(h^{2}\) - 5h - 300 = 0

Now, we solve the above quadratic equation by splitting the middle term.

\(h^{2}\) + 15h - 20h - 300 = 0

h( h + 15) - 20( h + 15) = 0

(h - 20) (h + 15) = 0

Thus, h = 20 or -15

But since height cannot be negative, h = 20

⇒ base = h - 5

= 20 - 5

= 15 meters

Thus, the base of the triangle is 15 meters.

Learn more about triangles here-

https://brainly.com/question/1058720

#SPJ4

Answer:

The answer is C beacause it is 20 times greater than the other numbers

The rate at which the lateral surface area increases is 5πh square feet per second.

The lateral surface area of a vertical circular cylinder is given by the formula:

\(Lateral surface area = 2πrh\)

Taking the derivative with respect to time, we get:

dL/dt = 2π(dr/dt)h + 2πr(dh/dt)

Given that the height and radius both increase at the constant rate of 2 ft/sec, we can substitute:

dr/dt = dh/dt = 2 ft/sec

So, the expression becomes:

dL/dt = 2π(2)(h + r)

Since r = h/2, we can substitute:

dL/dt = 2π(2)(h + h/2) = 5πh

Therefore, the rate at which the lateral surface area increases is 5πh square feet per second.

Learn more about surface area here:

https://brainly.com/question/29298005

#SPJ11

In a binomial experiment, there are only two possible outcomes for each of the n trials. True statement.

These outcomes are typically labeled as "success" and "failure," and they are mutually exclusive (meaning that only one outcome can occur per trial) and collectively exhaustive (meaning that one of the two outcomes must occur per trial).

Know more about the binomial experiment

https://brainly.com/question/15557838

#SPJ11

Answer:

parallel

Step-by-step explanation:

parallel describes lines

the answer is C

Step-by-step explanation:

parallel is not a type of angle

Answer:

Step-by-step explanation:

You'll need to learn the formula for the circumference of a circle.  If the radius is r, the circumference C is C = 2πr.  It appears that your teacher is using pi for the exact circumference and 3.14 for the approximate circumference.

The radius of the first circle is 5 in.  Thus, the exact circumference is

C = 2πr = 2π(5 in) = 10π in, and the approximate circumference is

C = 2(3.14)(5 in) = 31.4 in

Answer:

first one is 18 second one is 45

Step-by-step explanation:

add 18 and 45 to get 63

area is 63

Answer:

basically this is just 5! (five factorial) which is 120

the formal formula would be

n!/(n-r)! = 5!/(5-5)! = 5!/0! = 5! = 120

Step-by-step explanation:

The number of the ways that can be used to set the digital lock will be 120.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Decide if the following scenario involves a permutation or combination. Then the number of possibilities will be

You are setting the combination on a five-digit lock.

You want to use the numbers 12345, but you don't care what order they are in.

Then the number of the ways that can be used to set the digital lock will be

⇒ 5!

⇒ 5 x 4 x 3 x 2 x 1

⇒ 120

The number of the ways that can be used to set the digital lock will be 120.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ5

The term that describes the sample in this scenario is "biased."A sample is considered biased when it is not representative of the target population.

In this case, the fact that 33% of the sample consists of teachers despite the fact that the target population contains far fewer than 33% teachers indicates that the sample is not representative of the target population.

There are many reasons why a sample might be biased. For example, if the method of selecting participants is flawed or if the sample size is too small, it can result in a biased sample. In this case, it's possible that the method used to select participants led to an overrepresentation of teachers in the sample. Therefore, the sample is biased, and any conclusions drawn from it may not be generalizable to the target population.

To find more questions on Biased Sample

https://brainly.com/question/313246

#SPJ4

The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

Learn more about length of arc on https://brainly.com/question/31762064

#SPJ1

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

Know more about a quadratic equation here:

https://brainly.com/question/1214333

#SPJ1

Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

There are 35 different ways to order the three identical black pens and four identical blue pens in a row.

To find the number of different ways to order the three identical black pens and four identical blue pens in a row, we can use the concept of permutations.

In this case, since the black pens are identical and the blue pens are identical, we only need to consider the arrangement of the two groups: the black pens and the blue pens.

The total number of arrangements can be calculated using the formula for permutations of objects with repetition. The formula is:

P(n; n1, n2, ..., nk) = n! / (n1! * n2! * ... * nk!)

where:

a) n is the total number of objects (in this case, the total number of pens)

b) n1, n2, ..., nk represents the number of each type of object (in this case, the number of black pens and the number of blue pens)

Applying this formula, we have:

P(7; 3, 4) = 7! / (3! * 4!)

= (7 * 6 * 5 * 4 * 3 * 2 * 1) / ((3 * 2 * 1) * (4 * 3 * 2 * 1))

= 35

To know more about concept of permutations refer here:

https://brainly.com/question/29855401#

#SPJ11

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

Learn more about neurological disorders here:

https://brainly.com/question/30472719

#SPJ11

Answer:

The correct answer is D. ƒ(x) = x – 3.

The function rule for a table is a mathematical expression that relates the input values to the output values. In this case, the input values are the numbers in the first column of the table, and the output values are the numbers in the second column of the table.

To find the function rule, we can look for a pattern in the table. We can see that each output value is 3 less than the corresponding input value. For example, when the input value is 1, the output value is -2. When the input value is 2, the output value is -1.

This pattern can be expressed mathematically as ƒ(x) = x – 3. This function rule tells us that the output value is equal to the input value minus 3.

Step-by-step explanation:

Answer:

D

the scatter diagram shows a slightly decreasing trend