Max pays a flat rate of $85 for his cell phone. He is also charged $0.15 for every text that he sends. His cell phone bill can be no more than the amount he has budgeted for it each month. If x represents the number of texts and y represents his budgeted amount, which inequality represents Max's cell phone budget each month? (3 points)
a $0.15x + $85 ≥ y
b $0.15x + $85 ≤ y
c $0.15x - $85 ≥ y
d $0.15x - $85 ≤ y​

Answer:

El raigañu cuadráu corresponder cola radicación d'índiz 2 o, equivalentemente, cola potenciación d'esponente 1/2.

Cualquier númberu real non negativu {\displaystyle x}x tien un únicu raigañu cuadráu positiva o raigañu cuadráu principal[2] y denotada como {\displaystyle {\sqrt {x}}}{\displaystyle {\sqrt {x}}} onde {\displaystyle {\sqrt {\;}}}{\displaystyle {\sqrt {\;}}} ye'l símbolu raigañu y {\displaystyle x}x ye'l aniciando.

Cuando se riquir denotar dos raigaños cuadraos una negativa, {\displaystyle -{\sqrt {x}}}{\displaystyle -{\sqrt {x}}}, y otra positiva, {\displaystyle {\sqrt {x}}}{\displaystyle {\sqrt {x}}}, suelen denotarse curioso como {\displaystyle \pm {\sqrt {x}}}{\displaystyle \pm {\sqrt {x}}} o bien como {\displaystyle \mp {\sqrt {x}}}{\displaystyle \mp {\sqrt {x}}} según l'orde precisáu.

El conceutu de raigañu cuadráu puede estendese a cualquier aniellu alxebraicu, asina ye posible definir el raigañu cuadráu d'un númberu real negativu o'l raigañu cuadráu de delles matrices. Nos númberos cuaterniónicos los reales negativos almiten un númberu infinitu de raigaños cuadraos, sicasí'l restu de cuaterniones distintos de cero almiten solu dos raigaños cuadraos. Nel aniellu non conmutativu de les funciones reales de variable real cola adición y la composición de funciones si fºf = g, puede plantegase que f ye la "raigañu cuadráu" de g.[3]

Step-by-step explanationY segun todos mis calculos es 2 :

The weight of the 0.8-meter piece is 19.6 kilograms.

We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.

Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:

W₁/2.8m = 24.5kg/1m

Solving for W₁, we get:

W₁ = (24.5kg/1m) x 2.8m = 68.6kg

Now we can use the same ratio to find W₂:

W₂/0.8m = 24.5kg/1m

Solving for W₂, we get:

W₂ = (24.5kg/1m) x 0.8m = 19.6kg

Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ1

Answer:

\(\pm24\)

Step-by-step explanation:

To find the geometric mean of two numbers, you find their product and then take the square root of that product:

\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)

Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ4

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

For more question on amount

https://brainly.com/question/25720319

#SPJ8

Answer:

Step-by-step explanation:

the last answer looks good

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

We have that m represents the number of eggs produced on Monday.

We have to find an expression that represents the sentence "ten less than twice the eggs he had on Monday".

We can start with "twice the eggs he had on Monday".

This quantity will be 2 times m or 2m, as m is the number of eggs he had on Monday.

Then, the value of this expression is "ten less than 2m", which can be represented as: 2m-10.

Answer: the expression represents 2m-10

Answer:

0.25

Step-by-step explanation:

3/12 = 1/4

1÷4= 0.25

Answer: 0.16

Step-by-step explanation:

Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.

According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.

About 68% woman have height between ( 66-3) inches and (66+3) inches.

i.e. About 68% woman have height between 63 inches and 69 inches.

The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]

The percentage of woman have height  is 69 inches or taller = 32%÷2

= 16%

Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16

A complete set of probabilities will always add up to 1 (option c).

Probability is a fundamental concept in many fields, including mathematics, statistics, and science. It helps us to understand the likelihood of an event occurring, and it is expressed as a number between 0 and 1, inclusive.

The correct answer to the question is "1." A complete set of probabilities will always add up to 1. This means that if we have a set of mutually exclusive events, where only one of them can occur, the sum of their probabilities will be 1.

The other options presented in the prompt, such as 100%, 0.1, and 1%, are not correct. If we express a probability as a percentage, it should be converted to a decimal number between 0 and 1 before adding it to other probabilities.

So, the correct option is (c).

To know more about probability here

https://brainly.com/question/30034780

#SPJ4

Answer:

If a>b then the major axis of the ellipse is parallel to the x -axis (and, the minor axis is parallel to the y -axis)

if a<b then the major and minor axes of the ellipse with respect to the x and y -axes are reversed

Step-by-step explanation:

Answer:

how to make a capacity of the ep of the ep of the ep of the ep of the ep of the ep of the ep

initial temp = -10

final temperature:

=initial temp + 8

= -10 + 8

= -2

Answer:

33

Step-by-step explanation:

45 - (-12) = 33

His friend is 33ft away from him.

Answer:

Use the slope formula to find the slope

m

m=−2/3

Step-by-step explanation:

Answer: \(\frac{-2}{3}\)

Step-by-step explanation:

      To find the slope, we will use the slope formula.

\(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1}}=\frac{-9--1}{-5--17} = \frac{-8}{12} =\frac{-2}{3}\)

Answer: Perpendicular

Explanation:

One example of a pair of perpendicular lines would be having one horizontal line and one vertical line. They form a right angle which is 90 degrees.

Answer:

Perpendicular lines

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Range = maximum - minimum so here, we'd have:

52 = max - 29

Add 29 to both sides to solve.

The highest score if the range is 52 and the lowest score is 29 is 81.

Range is the difference between the highest and lowest values of a set of observations. Range is a measure of variation.

Range = highest value - lowest value

Highest score = range + lowest score

52 + 29 = 81

To learn more about range, please check: https://brainly.com/question/12372689

Answer:

The probability that a point chosen at random will be in the shaded region is 0.25

Step-by-step explanation:

We have been given a small shaded circle inside a larger un-shaded circle. This is shown in the image attached below.

The area of smaller circle is 78.5 squares inches and the area of larger circle is 314 square inches. We have to find the probability that a point chosen at random will be in the shaded region.

Probability is defined as the ratio of Favorable outcome to the Total outcomes. In this case the favorable outcome is that the point should be inside the shaded region i.e. in an Area of 78.5 square inches. And the total outcome is that the point can be anywhere inside the larger circle i.e. within an Area of 314 square inches. Thus the probability that a point chosen at random will be inside the shaded region will be:

\(Probability =favorable-Outcome/total outcome\)

\(=78.5/314\)

\(=0.25\)

Thus, the the probability that a point chosen at random will be in the shaded region is 0.25. This means there is a 25% chance that a randomly chosen point will be inside the shaded region.

\({\huge{\boxed{\boxed{\red{\bm{\mathsf{Answer}}}}}}}\)

\({\huge{\frac{3^3×3^2}{3^6}^-4}}\)

\({\huge{\frac{3^5}{3^6}^-4}}\)

\({\huge{\frac{1}{3}^-4}}\)

\({\huge{=81}}\)

\({\large{\bm{\mathsf{Be\:Brainly}}}}\)

Answer:

81

Step-by-step explanation:

(3^3 × 3^2 ÷ 3^6)^-4

(27 * 9/ 729)^-4

(243/729)^-4

(1/3)^-4

81

Answer:

100 students selected randomly as their enter your middle school in the morning

Step-by-step explanation:

Answer:

C (100 students selected randomly from your middle school)

Step-by-step explanation:

The first one is wrong because its only 10 people from your homeroom.

The next one is also wrong sense its only 5 people who could also share the same interests as you.

The next one is wrong because its not from their middle school

That leaves us with the last one, its selected randomly with a lot of people involved from their middle school.

Answer: 93

Step-by-step explanation:

t=third test score

83+94+t=90*3

83+94+t=270

83+t=176

t=93

Given the breadth of the bag is 12 cm and the length is 18 cm, and the assumed height is 6cm, t​he volume of the cooler bag is 1296 ml.

The volume of the cooler bag is determined using the formula;

Volume = length * breadth * height

Data given:

breadth = 12 cm

length = 18 cm

height = ?

The height is not given, therefore, an assumed height of 6 cm is used in the calculation.

Converting the measurements to millimeters:

Breadth = 12 cm * 10 mm/cm = 120 mm

Length = 18 cm * 10 mm/cm = 180 mm

Height = 6 cm * 10 mm/cm = 60 mm

Now, we calculate the volume of the cooler bag:

Volume = 180 mm * 120 mm * 60 mm

Volume = 1,296,000 mm³

To convert the volume from cubic millimeters to milliliters, we divide by 1,000

Volume = 1,296,000 mm³ / 1,000

Volume of cooler bag = 1296 ml

Learn more about volume at: https://brainly.com/question/463363

#SPJ1

Answer:

The test statistic is \(t = 2.79\)

Step-by-step explanation:

From the question we are told that

    The population mean is \(\mu = 59.3\)

    The sample size is  \(n = 79\)

    The  sample mean is  \(\= x = 62.4\)

    The  standard deviation is  \(\sigma = 9.86\)

Generally the test statistics is mathematically represented as

            \(t = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }\)

substituting values

          \(t = \frac{ 62.2 - 59.3 }{ \frac{ 9.86}{ \sqrt{ 79} } }\)

          \(t = 2.79\)

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

learn more about of variable here

https://brainly.com/question/6472483

#SPJ4

1) This narrative is an example of a sample survey.

2) This narrative is an example of an experiment.

3) This narrative is an example of an observational study.

There are some common methods of data collection in statistical studies which are sample survey, observational study, experiments e.t.c

A sample survey is a survey that is done by taking a sample of people or items that represent a larger population.

An observational study is a type of study whereby a researcher utilizes observed information to gain more information about a group of individuals.

An experiment is where a researcher purposely applies different treatments to different groups and then does a comparison of  the groups to determine if there is any difference in a specific variable of interest.

1) This narrative is an example of a sample survey because he studied a sample of 50 people who exercise regularly to determine if their blood pressures are low or average.

2) This narrative is an example of an experiment because we see that he studies 20 people who exercise and another 20 who don't exercise and uses the result to generate a conclusion about both groups.

3) This narrative is an example of an observational study because he is using the information he gets from the question he asks every fifth patient to learn about a group of individuals.

Read more about Experiment and Survey at; https://brainly.com/question/23966407

#SPJ1

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

To learn more about slope-intercept, refer to:

https://brainly.com/question/1884491

#SPJ1

Answer:

6/7

Step-by-step explanation:

Slope is y2-y1/x2-x1

-5+11/-1+8

6/7

Answer:

its is 6 over 7 so 6/7 that will be your answer welcome have a nice dayyy hope this helps

Answer:

9

5

Step-by-step explanation:

Wyatt's class:

Each group of 3 students eats 1 1/2 pizzas.

There are 18 students.

18/3 = 6

There are 6 groups of 3 students.

Since each group of 3 students eats 1 1/2 pizzas, 6 groups eat

6 * 1 1/2 = 6 * 3/2 = 18/2 = 9

Answer: 9 pizzas

Jennifer's class:

There are 15 students. Each student eats 1/3 of a pizza.

15 * 1/3 = 15/3 = 5

Answer: 5 pizzas

Answer:

9

5

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.