A card is drawn at random from a standard pack of 52 playing cards. What is the probability of drawing a number greater than 5

Answer:

Above sea level   x+95

Step-by-step explanation:

brainliest?

Answer:

test statistic: 1.061    p-value: 0.289

Step-by-step explanation:

When function f(x) = x^3 + 1 compared to its parent f(x) = x^3, it shifted left by 1 unit.

According to the question, given that

function f(x) = x³ + 1 , compare to the parent function f(x) = x³

when function f(x) = x³ + 1  comparing to the parent function f(x) = x³

then shifted left 1 unit.

graph of the function given below

In mathematics, some graphs are frequently seen. As a result, these initial, widespread functions—which also comprise graphs of quadratic functions, square roots, absolute values, cubic, and cube roots—are referred to as parent graphs.

quadratic function graphing

The utmost power or square to which an unknown number or variable can be raised is known as a quadratic function. The parent graph of all other quadratic functions is the function y=x2 or f(x) = x2, which is a quadratic function.

A parabola is the name for any quadratic function's graph. The fundamental shape of a parabola is uniform.

To learn more about parent graphs visit here : brainly.com/question/12790500

#SPJ1

The sequence \(a_n=\frac{n^2}{n^3+5n}\) diverges.

For given question,

We have been given a sequence \(a_n=\frac{n^2}{n^3+5n}\)

We need to determine whether the sequence converges or diverges.

From given sequence we have, \(a_{n+1}=\frac{(n+1)^2}{(n+1)^3+5(n+1)}\)

We use Ratio Test.

According to Ratio Test, \(r=\frac{a_{n+1}}{a_n}\), where sequence converges if and only if |r| < 1.

Consider,

\(\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(n+1)^2}{(n+1)^3+5(n+1)}}{\frac{n^2}{n^3+5n}} |\\\\\\= \lim_{n \to \infty} |\frac{(n+1)^2(n^3+5n)}{n^2[(n+1)^3+5(n+1)]} |\\\\=\infty\)

Since \(\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\) is not defined, the sequence \(a_n=\frac{n^2}{n^3+5n}\) diverges.

Therefore, the sequence \(a_n=\frac{n^2}{n^3+5n}\) diverges.

Learn more about the sequence here:

https://brainly.com/question/17175513

#SPJ4

Answer:

37%

Step-by-step explanation:

37/100

Answer:

$40

Step-by-step explanation:

The interest on $4,000 at 3% for 4 months would be $40 if we round.

To find the solution using the graphical method and substitution for the objective function Max $47x + $51y, you need to provide the constraints of the linear programming problem. Without the constraints, it is not possible to determine a specific solution. Please provide the constraints, and I will be happy to assist you further.

But as a text-based AI model, I cannot directly show you my steps on scratch paper or provide a graphical representation.

However, I can guide you through the process of solving the problem using the graphical method and substitution.

To solve the linear programming problem with the given objective function and constraints, we need the complete set of constraints.

you please provide the constraints for the problem?

Learn more about constraints

brainly.com/question/32387329

#SPJ11

Answer:

D.

Step-by-step explanation:

hope it's helppp

hopefully you

PR / Sin(Q) = QR / Sin(P)

53 / Sin(90) = 45 / Sin(P)

53 / 1 = 45 / Sin(P)

Sin(P) = 45 / 53

Sin(P) = 0.8490566038

P = 58.11 degrees

Answer:

58.11°

Step-by-step explanation:

tan P = 45/28 = 1.607

< P = tan`¹ 1.607 = 58.11°

Answer:

This image is a graph of a normal distribution, also known as a Gaussian distribution. The normal distribution is a common probability distribution that has a bell-shaped or symmetrical curve. The graph shows the probability density function of a normal distribution with a mean (μ) of 0 and a standard deviation (σ) of 1.

In a normal distribution, the mean is the central value and the standard deviation measures the spread of the distribution. The standard deviation of 1 in this graph indicates that most of the data values are within 1 standard deviation from the mean. The curve of the distribution shows that the highest point (peak) is at the mean (0) and that the probability density decreases as we move away from the mean in either direction.

The axis on the left side of the graph represents the probability density, which is the probability per unit of measurement. The area under the curve represents the total probability, which is equal to 1. The x-axis represents the range of values that the random variable can take.

Overall, this graph is a useful tool for understanding the properties of a normal distribution and for making statistical inferences or predictions about a population based on a sample of data.

The amount of concrete required to make 80 pots is 0.24192 cubic meters after adding 5% of the required concrete.

Given that:External dimensions of the prism, a = 18 cmHeight of the prism, h = 16 cm Thickness of the walls, t = 3 cmNumber of pots, n = 80Wastage is 5% of the required concreteLet the side of the inner square be 'a1'. Then,a = a1 + 2t⇒ a1 = a - 2t = 18 - 2×3 = 12 cmVolume of the pot = volume of the outer prism - volume of the inner prismVolume of the outer prismVolume of the outer prism = a²hVolume of the outer prism = 18²×16 = 5184 cm³Volume of the inner prismVolume of the inner prism = a1²hVolume of the inner prism = 12²×16 = 2304 cm³Volume of the potVolume of the pot = 5184 - 2304 = 2880 cm³In m³, Volume of the pot = 2880/1000000 m³Volume of 80 such potsVolume of 80 pots = 80 × 2880/1000000 m³= 0.2304 m³Concrete required for the potsConcrete required = volume of 80 pots × (100 + 5)/100Concrete required = 0.2304 × 105/100 m³Concrete required = 0.24192 m³

for more such question on cubic meters

https://brainly.com/question/30106291

#SPJ8

Answer:

5.

Objective C

\(125x + 200 \geqslant 1200 \\ 125x \geqslant 1000 \\ x \geqslant 8\)

7

\(x \: \alpha \: y \\ y = kx \\ 2.00 = k \times 8 \\ k = \frac{2.00}{8} \\ k = 0.25\)

The probability that both pencils picked at random with replacement from a basket containing 5 purple and 9 brown pencils are purple is 9/98.

To calculate the probability of picking two purple pencils with replacement, we need to use the multiplication rule of probability. The probability of picking the first purple pencil is 5/14, and the probability of picking a second purple pencil from the basket is also 5/14 since we are replacing the first pencil. Therefore, the probability of picking two purple pencils with replacement is (5/14) × (5/14) = 25/196. However, we also need to account for the possibility of picking a brown pencil first and a purple pencil second.

The probability of picking a brown pencil first is 9/14, and the probability of picking a purple pencil second is 5/14. So, the probability of picking a brown pencil followed by a purple pencil is (9/14) × (5/14) = 45/196. Adding the probability of picking two purple pencils and the probability of picking a brown pencil followed by a purple pencil gives us the total probability of (25/196) + (45/196) = 9/98.

Therefore, the probability that both pencils picked at random with replacement from a basket containing 5 purple and 9 brown pencils are purple is 9/98.

To learn more about probability here:

brainly.com/question/30034780#

#SPJ11

According to the order of operations, brackets are solved first which contains the division operation. Hence, 12 is divided by -6 first.  

Order of Operations

Given expression is,

(12 ÷ (-6))(3) + (-2)

According to the BODMAS rule of operations, the precedence order of operations is as follows,

Brackets > Of > Division > Multiplication > Addition > Subtraction

Hence, we will start by solving the brackets first, then solve the division and then the addition.

Evaluation

Solving the given expression as per the order of operations,

Brackets are solved first, then division followed by multiplication and then addition. Division is always of the highest precedence among all operations after brackets and of.

12 ÷ (-6)(3) + (-2)

= 12 ÷ (-6)(3) - 2   [∵ +(-n) = -n]

= (-2)(3) -2

= -6 - 2

= -8

Thus, solving the +(-2) and then division of 12 by (-6) are the first operations to be performed in order to evaluate the given expression.

Learn more about operations here:

https://brainly.com/question/9559872

#SPJ4

Answer:The derivative of cos(x) is -sin(x). The derivative of sin(x) is cos(x)

Step-by-step explanation:

a. ln(7x) can be expanded as ln(7) + ln(x). b. ln(x + 3) remains as it is, since it cannot be simplified further. c. ln(x^8) can be expanded as 8ln(x). d. 15,000ln(xy^4) can be expanded as ln(x) + 4ln(y) + ln(15,000).

a. To expand the logarithmic expression ln(7x), we can use the property of the natural logarithm that states ln(ab) = ln(a) + ln(b).

Therefore, ln(7x) can be expanded as ln(7) + ln(x).

b. Similarly, the logarithmic expression ln(x + 3) can be expanded using the property ln(ab) = ln(a) + ln(b).

Hence, ln(x + 3) remains as it is since we cannot simplify it further.

c. Expanding the logarithmic expression ln(x^8) can be done using the property ln(a^b) = b * ln(a).

Thus, ln(x^8) becomes 8 * ln(x).

d. Expanding the logarithmic expression 15,000ln(xy^4) can be done by applying the property ln(ab) = ln(a) + ln(b).

Therefore, 15,000ln(xy^4) can be expanded as 15,000[ln(x) + ln(y^4)].

Learn more about expanded here

https://brainly.com/question/17921963

#SPJ11

AB + BC = AC

3x+1 +2x -7 = 24

5x -6 = 24

5x = 30

x = 6

The value of x is 6.

It is required to find the scientific notation.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

GIven:

let AC is straight line and B is on line.

B is between A and C

AB = 3x + 1,

BC = 2x - 7,

AC = 24,

We have to find the value of x.

According to given question we have,

AB + BC = AC

3x+1 +2x -7 = 24

5x -6 = 24

5x = 30

x = 6

Therefore, the value of x is 6.

Learn more details about line here:

https://brainly.com/question/2696693

#SPJ2

The coordinates in the given table represents exponential function.

A function is a relation between a dependent and a independent function.

Given is a table representing a function as shown in the question.

Refer to the graph attached. It can be seen that the plotted points lie near or along the graph of the exponential function -> y = eˣ. So, the coordinates represent the exponential function.

Therefore, the coordinates in the given table represents exponential function.

To solve more questions on functions, visit the link below -

https://brainly.com/question/20893557

#SPJ1

The fraction of the occupied apartments is 9/10.

In mathematics, a fraction is a symbol for a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total apartments in the building = 200.

Also,

The number of apartments leased by realtor = 180

The fraction of the apartments which is occupied by realtor

= number of apartments leased /Total apartments

= 180 / 200

= 18 / 20

= 9 / 10

The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.

To know more about Fraction on:

https://brainly.com/question/10708469

#SPJ1

Answer:

$9

Step-by-step explanation:

(2 movies returned late)

3 days late

$1.50 per day late fee

equaling $4.50 per movie

TOTALING $9

TOTALING $9.00

Answer:

Step-by-step explanation:

Since its less than 5 days, Susan will have to pay only late charge fee for two movies for 3 days.

The amount to be paid:

Correct choice is B

Answer: 13.8 m

Step-by-step explanation:

Given

From point A, angle of elevation is \(19^{\circ}\)

From point B which is 18 m closer, it changes to \(32^{\circ}\)

Suppose the height of tree is h

From figure, we can write

\(\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}\)

Similarly

\(\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m\)

Deduce the value of h

\(\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m\)

Thus, the height of the tree is 13.8 m

Answer:

Step-by-step explanation:

what i do not undersante

Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

Learn more about Divisibility here:

https://brainly.com/question/2273245

#SPJ11

Answer:

Here is your answer

Step-by-step explanation:

Step -1: Forming equations.

                  Let, present age of son = x

                  And, present age of father = 3x+3

                  3 years later, age of son = x+3

                  age of father = 3x+3+3=3x+6                                  ...(i)

                  According to the given condition, age of father = 10+2(x+3)        ...(ii)

Step -2: Solving for x

                  From (i) and (ii)

                  ∴3x+6=10+2(x+3)

                  ⇒3x+6=10+2x+6

                  ⇒3x−2x=10+6−6

                  ⇒x=10

                  ∴Present age of son = 10 

                  and present age of father = 3x+3=3×10+3=33

Hence, son’s present age is 10 years and father’s 

Answer:

eedddftfffffɠgjjffhynnkkdsrhbv

Answer:

The box volume is 240 in^3

Step-by-step explanation:

The volume of a rectangular box is V = L*W*H.

Here, that would be V = (10 in)(8 in)(3 in)= 240 in^3

Answer:

Volume is 240 inches

Step-by-step explanation:

Volume = Length x Width x Height

 L    W   H       V

10 x 8 x 3 =  240 inches