What is
14
—
85 simplified

The Probability that both cards are spades and one of them is ace of the spade is 0.0026.

Total number of cards = 52

Number of ace cards = 4

Number of ace of spade = 1

a). Probability that both cards are spades and one of them is ace of spade is:

p=(1׳C₁)/⁵²C₂

= 0.0026

Here, ³C₁ is the number of ways of selecting one ace from the rest 3 aces (club, diamond, heart) and ⁵²C₂ is the number of ways of selecting 2cards from 52 cards and 1 is the sole way of selecting an ace of spade.

Therefore, the Probability that both cards are spades and one of them is ace of the spade is 0.0026.

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Answer:

a school community had planned to reduced the number of grade 9 students per class room by constructing additional class rooms. how ever ,they constructed 4 less rooms than they planned.as the result the number of students per class was 10 more than they planned. if there are 1200 grade 9 students in the school,determine the current number of class rooms and the number of students per class

The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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Answer:

9/12 = 4/x

Step-by-step explanation:

The height of the larger triangle is 9. The base of the larger triangle is 12. So let's make the ratio 9/12.

The height of the smaller triangle is 4. The base of the smaller triangle is x. So let's make the ratio 4/x.

Since both triangles are congruent, let's make these both equal each other to solve for x (if you need to).

Thus, it's 9/12 = 4/x.

Answer:

Na20+H20 -> 2NaOH

Step-by-step explanation:

To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.

By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.

To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.

Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.

After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).

Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.

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The work done by the mattress spring to compress it from equilibrium to 0.15 m is 0.53 joules.To calculate the work done by the spring to compress it from equilibrium to a certain displacement, we can use the formula:

W = (1/2) k x^2

where W is the work done, k is the spring constant, and x is the displacement from equilibrium.

Let's calculate the work done by the pogo stick spring first:

Given:
k = 0.63π N/m
x = 0.14 m

Using the formula, we have:

W = (1/2) k x^2
W = (1/2) (0.63π) (0.14)^2

Simplifying:

W = (1/2) (0.63π) (0.0196)
W = 0.5 * 0.63π * 0.0196
W = 0.308π * 0.0196
W = 0.006032π

Therefore, the work done by the pogo stick spring to compress it from equilibrium to 0.14 m is 0.006032π joules.

Next, let's calculate the work done by the mattress spring in equation

Given:
F = 3.5 N
x = 0.15 m

Since the force applied and the displacement are given, we can directly calculate the work done using the formula:

W = F * x

W = 3.5 * 0.15
W = 0.525

Rounding the answer to two decimal places, the work done by the mattress spring to compress it from equilibrium to 0.15 m is 0.53 joules.

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The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

To answer the question, we need to know what a regression model is

A regression model is an equation or model that shows if there is a relationship between two variables.

Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.

Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.

So, y = -2.8sin(0.65x + 120.2) + 12.2

y = -2.8sin(0.65(6) + 120.2) + 12.2

y = -2.8sin(3.9 + 120.2) + 12.2

y = -2.8sin(124.1) + 12.2

y = -2.8(0.8281) + 12.2

y = -2.32 + 12.2

y = 9.88

y ≅ 9.9

So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

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Based on the given pattern, it appears that there is a relationship between the number of points on a circle and the number of regions formed. Let's examine the pattern further:

- Two points form two regions: The regions are the two separate halves of the circle.

- Three points form four regions: The regions are the three separate arcs formed by connecting each pair of points and the central region enclosed by the triangle.

- Four points form eight regions: The regions are the four separate arcs formed by connecting each pair of points, and the four regions enclosed by the four triangles formed by connecting three points.

Based on these examples, it seems that the number of regions formed on a circle by connecting every pair of points follows a pattern of increasing exponentially. Specifically, for each additional point added to the circle, the number of regions doubles.

Therefore, we can conjecture that the relationship between the number of points on a circle (n) and the number of regions formed (r) can be expressed as follows:

r = 2^n

Where "n" represents the number of points on the circle, and "r" represents the number of regions formed.

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Answer:

Step-by-step explanation:

$0.08 220=176 plus the days worth

176

 31

-——-

 207

Answer:

d≤6

Step-by-step explanation:

Have a good day :)

Answer:

A=pir²

Step-by-step explanation:

pi=3.14

r=15

r²=15²=225

A=225× 3.14= 706.5

Answer:

2 hours and 30 minutes.

Step-by-step explanation:

First you must add $50 and $75. Then add two $75, to get $200. Then, Multiply $1.25 by 30.

Hope this helps :)

(If it did please make this brainliest.)

Answer:

w = 35/4

im not exactly sure why the options are whole numbers.

Step-by-step explanation:

8 = w-3/4

-w + 8 = -3/4

-w = -3/4 - 8

-w = -3/4 - 32/4

-w = -35/4

w = 35/4

Answer:

Graphite is a form of carbon.

Step-by-step explanation:

Pencils are usually made from graphite and clay.

Now, graphite is a from of carbon and as such it is soft due to the weak intermolecular forces it possesses in between it's layers. Therefore if the graphite is increased, this will make the pencil not to be hard enough when writing and easily slide.

Answer:

A is -3

Step-by-step explanation:

I know it’s kinda late but I hope this helps! And please give brainliest!

The speed of the cyclist in still air is 13 mph

Let the speed of the cyclist in still air be x mph

when she rides with the wind her speed = (x + 3) mph

when she rides against the wind her speed = (x - 3) mph.

Mathematically we can represent the problem as:

16 / (x + 3) = 10 / (x - 3)

cross multiplying and simplifying

16 (x - 3) = 10 (x + 3)

16x - 48 = 10x + 30

6x = 78

x = 13

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To give your daughter $50,000 towards her college education in 15 years, you must set aside approximately $14,803.42 today.

To calculate the amount of money you need to set aside today, we can use the concept of future value of a lump sum. The future value is the amount of money an investment will grow to in the future, given a certain interest rate and time period.

In this case, we want to determine the present value (the amount you need to set aside today) to achieve a future value of $50,000 in 15 years, assuming an annual interest rate of 9 percent. The formula to calculate present value is:

Present Value = \(Future Value / (1 + Interest Rate)^T^i^m^e\)

Plugging in the values, we have:

Present Value = \($50,000 / (1 + 0.09)^1^5\)

Present Value ≈ $14,803.42

Therefore, you would need to set aside approximately $14,803.42 today in order to accumulate $50,000 for your daughter's college education in 15 years, assuming an annual interest rate of 9 percent.

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Answer:

-20

Step-by-step explanation:

the electric field at a distance (r) from the center of the cylinder is approximately 0.0203 N/C, with a radial direction.

To solve this problem, let's analyze the given information step by step:

Radius of the cylinder: r = 2.00 cm = 0.02 m

Volume charge density: ρ = 18.0 μC/m²3

Now, let's find the electric field (E) at a distance (r) from the center of the cylinder using Gauss's law for a cylindrical symmetry.

Gauss's law states that the electric flux (Φ) through a closed surface is equal to the enclosed charge divided by the permittivity of free space (ε₀).

For an infinitely long cylinder, the electric field outside the cylinder will have a radial direction and a magnitude given by:

E = (ρ × r) / (2 × ε₀)

where ε₀ is the permittivity of free space, approximately equal to 8.854 × 10²-12 C²2/(N·m²2).

Substituting the given values, we can calculate the electric field:

E = (18.0 μC/m²3 × 0.02 m) / (2 × 8.854 × 10²-12 C²2/(N·m²2))

E ≈ 0.0203 N/C

Therefore, the electric field at a distance (r) from the center of the cylinder is approximately 0.0203 N/C, with a radial direction.

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Answer:

b

Step-by-step explanation:

The average rate of change in the value of the account for the first 3 years is,  $3.15/year. So Option C  is correct.

Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.

So formula for the rate is,

m = change in one quantity/change in another quantity = Δy/Δx

The average rate of change in the value of the account for the first 3 years can be calculated as follows:

Let t = 0 be the time when the account is opened,

and t = 3 be the end of the third year.

The value of the account at t = 0 is V(0) = 30,

and the value of the account at t = 3 is

V(3) = 30(1.05)³

The average rate of change in the value of the account over the first 3 years is given by the formula:

⇒ (V(3) - V(0)) / (3 - 0)

⇒ (30(1.05)³ - 30) / 3

⇒  $3.15/year

Hence, the average rate of change in the value of the account over the first 3 years is approximately $3.15/year

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Answer:

Step-by-step explanation:

Answer: $13.65 per ticket

Step-by-step explanation:

54.6/4

The indicated critical value of Z for given significance level, α = 0.04 is 1.75..

The critical Z-value is the point at which the area below the standard normal distribution is cut off. A critical value of z can indicate the probability that a particular variable has. If the absolute value of the test statistic is greater than the critical value, statistical significance is declared and the null hypothesis is rejected. The critical values of Z and t are approximately the same. The critical value test is:

Steps to determine the critical value:

We have given that,

α = 0.04 then α/2 = 0.02

then 1 - 0.02 = 0.98

Using the Z-table,

p-value = 1.7911 4444 ~ 1.75

Hence the critical values z, 0.04, is 1.75

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Answer:

20+ -4=

-16

Step-by-step explanation:

learn the number no sign break apart add divide add the last to numbers

The notation for the desired outcomes for event E, event F, or both is given as follows:

E U F.

The union and intersection sets of multiple sets are defined as follows:

For the union of E and F, the desired outcomes are:

Hence the notation is:

E U F.

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