Benjamin already has $800 in his savings account and has budgeted himself to save $100 per month. If he wants to save at least $3,000, how many months will it take Benjamin to reach his goal?

The probability of it raining 5 days out of the week, given an average chance of rain of 36% each day, is approximately 0.036 or 3.6%.

To find the probability of it raining 5 days out of the week when the chance of rain each day is 36%, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = (nCk) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of getting exactly k successes

n is the number of trials

k is the number of desired successes

p is the probability of success in a single trial

(1-p) is the probability of failure in a single trial

In this case, we have:

n = 5 (number of days in the week)

k = 5 (desired number of rainy days)

p = 0.36 (probability of rain each day)

Using the formula, we can calculate the probability:

P(X = 5) = (5C5) * (0.36)^5 * (1-0.36)^(5-5)

Simplifying the equation:

P(X = 5) = 1 * 0.36^5 * 0.64^0

P(X = 5) ≈ 0.036

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The rate of change of the volume of the sphere is 100,530.96 mm^3/s

How to calculate rate of change of the volume of the sphere?

Given,

radius = r = 80 / 2 = 40 mm

rate of change radius = \(\frac{dr}{dt}\) = 5 mm/s

Formula to calculate volume of the sphere is

\(V = \frac{4}{3}\pi r^{3}\)

Differentiating the volume formula and we get new formula to calculate rate of change of the volume.

\(\frac{dV}{dt} = \frac{4}{3}\pi 3r^{2}\frac{dr}{dt}\)

Simplify to

\(\frac{dV}{dt} = 4\pi r^{2}\frac{dr}{dt}\)

Now, we put the given value to formula and calculate it

\(\frac{dV}{dt} = 4\pi (40)^{2}(5)\)

\(\frac{dV}{dt} = 100,530.96\) mm^3/s

Thus, the rate of change of the volume of the sphere is 100,530.96 mm^3/s

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it is reduced I think. so the answer would be 10

Answer: 63627

Step-by-step explanation:

add multiply divide subtract and add

Answer:

Una expresión  es un grupo finito de términos algebraicos y símbolos matemáticos combinados en donde las letras se usan para representar números con valores desconocidos o imaginarios.

Una expresión consta de:

Coeficiente: que es el numero que no cambia o varia

Variable: representada por una letra y su valor cambia o fluctúa.

Para el enunciado, las variables son:

X= Nº de reproductores MP3

Y= Nº de reproductores DVD

Y las constantes son las ganancias por la venta de cada articulo

Ganancia de X = 35

Ganancia de Y= 15

La expresión que representa la ganancia por las ventas de MP3 y DVD, será:

G = 35X + 18Y

Step-by-step explanation:

Answer:

1.22 is greater

Step-by-step explanation:

everything after the decimal point is still the same as if it was a regular number. It's like comparing 22 and 02.

You can do 1.22-1.02 without getting a negative number

But when you do 1.02-1.22 the answer is -0.2.

I hope I could help!

By using these characteristics, you can analyze each equation and compare the properties with the given direction field pictures. This will help you in matching the equations with their respective direction field more accurately and effectively.

To match the equations with their direction field, follow these steps:

Set y equal to zero and observe the behavior of the derivative along the x-axis.

Set x equal to zero and observe the behavior of the derivative along the y-axis.

Consider the curve in the plane defined by setting y'=0. This corresponds to the points in the picture where the slope is zero.

Set y' equal to a constant other than zero to find the curve of points where the slope is that constant. These are called isoclines and can be used to construct the direction field picture by hand.

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Answer:203

Step-by-step explanation: multiply 5 on both sides to get rid of the fraction.

You’ll get : x+ 7 = 210

Then subtract 7 from 210. You’ll get 203.

There are no whole numbers n that satisfy this characteristic

The difference of n and 10 must be a negative number for it to be less than 1, and no whole number can be negative.

Whole numbers are those that can only be represented as integers and don't include any fractional or decimal elements. They also go by the names "counting numbers" or "natural numbers," and they consist of the digits 0 through 9, including 1, 2, 3, 4, 5, 6, 7,, 8, and so on.

A whole number that can be either positive, negative, or zero is known as an integer. A group of integers that are not a fraction or a decimal, such as..., -2, -1, 0, 1, 2,..., are referred to as an integer in mathematics. The natural numbers (1, 2, 3,...), their opposites (-1, -2, -3,...), and zero are all included in the set of integers. Mathematicians employ integers for many various purposes, such as counting, organising, and performing arithmetic operations.

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To determine how many fewer video games John has than Alex, we need to find the difference between the number of video games each person has. John has 8 fewer video games than Alex.

John has 8 fewer video games than Alex if they have 21 games altogether. Alex has 13 video games, and together they have 21 games, so we can subtract 13 from 21 to find the number of games John has.

21 - 13 = 8

Therefore, John has 8 fewer video games than Alex.

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Answer:

The price of the calculator was $85.99

Step-by-step explanation:

To solve the problem, we'll assume that there is no air resistance affecting the horizontal motion of the crate.

(a) To find the horizontal distance the crate travels before hitting the ground, we need to determine the time it takes for the crate to reach the ground. We can use the vertical motion equation:

\(\[ h = \frac{1}{2} g t^2 \]\)

where:

h is the initial height of the crate (700 m),

g is the acceleration due to gravity (approximately 9.8 m/s²),

and t is the time it takes for the crate to reach the ground.

Solving for t, we have:

\($\[ t = \sqrt{\frac{2h}{g}}\)

\($= \sqrt{\frac{2 \cdot 700}{9.8}} \approx 11.83 \text{ seconds} \]\)

Now, we can calculate the horizontal distance the crate travels using the formula:

distance = velocity × time

Since the crate is fired forward with a speed of 100 m/s, and the time of flight is approximately 11.83 seconds, the horizontal distance is:

\(\[ \text{distance} = 100 \times 11.83 \approx 1183 \text{ meters} \]\)

Therefore, the crate hits the ground approximately 1183 meters in front of the release point.

(b) The magnitude of the crate's velocity when it hits the ground can be determined using the equation:

\($\[ v = \sqrt{v_x^2 + v_y^2} \]\)

where \(\( v_x \)\) is the horizontal component of the velocity (equal to the initial horizontal velocity of the crate) and\(\( v_y \)\) is the vertical component of the velocity (which is the negative of the initial vertical velocity of the crate).

Since the airplane is flying horizontally at a speed of 500 km/h, the initial horizontal velocity of the crate is 500 km/h or approximately 138.9 m/s (since 1 km/h is approximately 0.2778 m/s).

The initial vertical velocity of the crate is -100 m/s since it is fired downward.

Plugging the values into the equation:

\($\[ v = \sqrt{(138.9)^2 + (-100)^2} \approx 171.5 \text{ m/s} \]\)

Therefore, the magnitude of the crate's velocity when it hits the ground is approximately 171.5 m/s.

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Answer:

21

Step-by-step explanation:

47.67 divided by 2.27 = 21

Answer:

I think its

B) CG

I hope its right

The next crow observed will be black is not supported by the premises in any meaningful way. The premises do not guarantee the outcome of the next observation.  Argument B is the stronger argument.

Argument A is an example of an inductive argument, as it generalizes from a limited sample to make a broader claim about the entire population. This argument form is called induction and can be evaluated on its strength.

Argument B is a deductive argument, as it uses a conditional premise to reach a definite conclusion. In this form of argument, the conclusion necessarily follows from the premises. The strength of a deductive argument depends on the logical structure of the premises and conclusion.

The better argument of the two is argument B. Because in deductive arguments, the conclusion necessarily follows from the premises if the premises are true.

And this argument, the premises state that if 90% of observed crows are black, then the next crow observed will be black.

Additionally, it is also claimed that 90% of observed crows are black. Therefore, it can be logically deduced that the next crow observed will be black

The argument in A, however, is an inductive argument, where the conclusion is not necessarily true even if the premises are true. Even if 90% of observed crows are black, it does not necessarily follow that 90% of all crows are black.

argument B is the stronger argument.

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Variance can be seen as a specific case of covariance, where the two variables being compared are identical.

The notion of variance provides a special case for the concept of covariance because covariance is a generalization of variance.

Variance is a measure of the dispersion or variability of a single random variable. It measures how much the values of the variable deviate from their mean. Covariance, on the other hand, is a measure of the joint variability of two random variables. It measures how much the values of one variable deviate from their mean in relation to the deviations of the other variable from its mean.

When we consider the covariance between two identical random variables, we get the variance of that variable. In other words, the variance of a random variable is a special case of covariance, where both variables are the same. Mathematically, the variance of a random variable X can be defined as:

Var(X) = Cov(X, X)

Therefore, variance can be seen as a specific case of covariance, where the two variables being compared are identical. This highlights the close relationship between variance and covariance, and helps to unify the concepts in a single framework.

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Answer:

it's A.

Step-by-step explanation:

a vertical translation, in the name, means you are moving the graph up or down the y axis. a horizontal translation is moving the graph left or right on the x axis. a reflection across the x axis is all the x values *-1. 180 counterclockwise rotation is rotating the graph top to bottom.

Answer:

A. Vertical translation

Step-by-step explanation:

A vertical translation means the object moves up or down without changing anything else of itself, such as size, rotation, reflection, etc.  Only movement up and down.

Reflection is where the object moves as though the axis is a mirror, where the object translates the same distance from the axis, but also flips across the axis, so if it is an x-axis, it flips upside down, and at a y-axis, flips left and right.

A rotation in any direction that is 180 degrees means that the object appears to be flipped opposite of what it started as.  For example, if A is at the top point, after rotation, A would be the bottom point.

A horizontal translation is the same as with a vertical translation, except the object moves left or right.

From each of these analyses I provided on each of the answer choices, we can clearly see that the correct answer is the first option, "A. Vertical translation," as the object did exactly as I described what a vertical translation is.

If I helped (and more clearly explained, hopefully, than the other answer), please make this answer brainliest ;)

Answer:

2.15

Step-by-step explanation:

I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):

(-1/4)*(-8.6)

= (8.6/4)

= 2.15

Answer:

(x^2 - 2x)^2 - 11(x^2 - 2x) + 24 = 0

(x^2 - 2x - 3)(x^2 - 2x - 8) = 0

x^2 - 2x - 3 = 0 or x^2 - 2x - 8 = 0

(x + 1)(x - 3) = 0 or (x + 2)(x - 4) = 0

x = -2, -1, 3, 4

Answer:

-14 3/4

Step-by-step explanation:

i am not super sure about this. the fraction is right though. i hope

The probability that a student chosen at random is left-handed is 40%

From the given two-way table, we can see that the total number of left-handed students is:

10 + 14 = 24

And the total number of students is:

20 + 10 + 14 + 16 = 60

Therefore, the probability that a student chosen at random is left-handed is:

P(left-handed) = 24/60

Simplifying this fraction by dividing both the numerator and the denominator by 12, we get:

P(left-handed) = 2/5

P(left-handed) ≈ 0.40 or 40.%

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The line y = -x, passing through the origin in the xy-plane, forms a 45-degree angle with the positive x-axis.

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line. In this case, the equation y = -x has a slope of -1. The slope indicates the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

To determine the angle between the line and the positive x-axis, we need to find the angle that the line's slope makes with the x-axis. Since the slope is -1, the line rises 1 unit for every 1 unit it runs. This means the line forms a 45-degree angle with the x-axis.

The angle can also be determined using trigonometry. The slope of the line (-1) is equal to the tangent of the angle formed with the x-axis. Therefore, we can take the inverse tangent (arctan) of -1 to find the angle. The arctan(-1) is -45 degrees or -π/4 radians. However, since the line is in the positive x-axis direction, the angle is conventionally expressed as 45 degrees or π/4 radians.

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Step-by-step explanation:

the last one is the correct answer

\( \frac{1}{ {n}^{18} } \\ = {n}^{ - 18} \\ = {n}^{( - 3 \times 6)} \\ = ( {n}^{ - 3} ) ^{6} \)

\(( {n}^{ - 3} ) ^{6} \)

She would need 32 1-quart containers because 8 gallons is 32 quarts.

She would need 64 cups because there are 62 pints in 8 gallons.

Answer:

principle (p)=Rs1400

Rate(R)=6.5

time(T)=3

we know that

I=P×I×T/100

=1400×6.5×3/100

=273

therefore the simple interest earned is Rs273

Answer:A- direct variation function

Step-by-step explanation:

h(x) = [x] + 4 is in A. direct variation function as we increase the value of x the function h(x) will also increase and vice versa.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  h(x) = [x] + 4, as we increase the value of x the function h(x) will also increase and vice versa.

So,  h(x) = [x] + 4 is in direct variation.

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Answer:

two

Step-by-step explanation:

one and add another one

Answer:

Step-by-step explanation:

Area = 121 in²

Length = √121 in = 11i in

Answer: 1024 inches

Step-by-step explanation:

New Murals,

Length= 245+33 =278 inches

Width = 234 inches

Perimeter= 2*(278+234) = 1024 inches

Answer:

9:45 AM

Step-by-step explanation:

To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph.

Time (hours) = Distance/speed

Hence, the time she spends cycling = 10mile/12 mph

= 0.8333333333 hour

Converting to minutes:

1 hour = 60 minutes

0.8333333333 hour =

0.8333333333 hours × 60 minutes/1 hour

= 50 minutes.

Hence, she spends 50 minutes cycling

She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph.

The total number of minutes she spends to get to work is calculated as:

(50 + 10 + 15)minutes

= 75 minutes.

It takes Amanda 75 minutes to get to work.

At what time will Amanda get to work if she leaves home at 8:30 AM?

= 8:30AM + 75 minutes

= 8:30 AM + 1 hour 15 minutes

= 9:45 AM

Answer:

j(2) - 40

Step-by-step explanation: