25 percent of 400 is what amount?

The experiment of drawing two cards without replacement from a deck consisting of only the ace through 10 of a single suit (e.g., only hearts) has a sample space consisting of all possible pairs of cards that can be drawn. There are a total of 45 possible outcomes in the sample space.



Ai = {(j,k) : j + k = i, where j and k are values of the cards in the suit}
For example, if i = 7, then the event A7 consists of the following outcomes:
A7 = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}

Note that we have excluded the outcome (1,1) from this event, since we are assuming that an ace counts as 1 and not 11. If we wanted to include the possibility of an ace being worth 11, we would need to modify the definition of Ai to account for this. However, the problem statement specifies that we should treat the aces as having a value of 1, so we will stick with this convention.

To know more about  outcomes visit :-

https://brainly.com/question/31307588

#SPJ11

Answer:

is there like a picture to go with it that will help solve it???

Answer: 8 products in 1 minute

Step-by-step explanation:

6 min=48 products

48/6=8

1 min= 8 products

Therefore, the equation of the line that passes through the point P(3, 2) and is parallel to the line 2x - y = 6 is y = 2x - 4.

To find an equation of a line that is parallel to the line 2x - y = 6, we need to determine the slope of the given line.

First, let's rewrite the given line in slope-intercept form (y = mx + b) by isolating y:

2x - y = 6

-y = -2x + 6

y = 2x - 6

From the equation, we can see that the slope of the given line is 2.

Since the line we're looking for is parallel to this line, it will also have a slope of 2.

Now that we have the slope (m = 2) and a point (P(3, 2)), we can use the point-slope form of a line to find the equation:

y - y₁ = m(x - x₁)

Substituting the values of the point (3, 2) and the slope (2):

y - 2 = 2(x - 3)

Expanding and simplifying:

y - 2 = 2x - 6

Finally, rearranging the equation to the slope-intercept form (y = mx + b):

y = 2x - 4

To know more about equation,

https://brainly.com/question/32641468

#SPJ11

Answer`Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

Hope that help, at least a bit.

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

Read more on ratio:

https://brainly.com/question/2328454

#SPJ1

Answer:

yes

Step-by-step explanation:

yes

yes

The equation to represent the relationship between the gas Zach’ car use and the distance he travel is d = 21g. If Zach uses 16 gallons of gas, he will travel 336 miles.

The equation to represent the relationship between the gallons of gas used and the distance traveled by Zach's car is given by:

d = 21g

where "d" is the distance in miles and "g" is the number of gallons of gas used.

To find how far Zach travels on a trip if he uses 16 gallons of gas, we simply plug in the value of 16 for "g" into the equation:

d = 21 * 16 = 336

So, if Zach uses 16 gallons of gas, he will travel 336 miles.

To learn more about relationship click on,

https://brainly.com/question/13797646

#SPJ4

Answer:

The probability that exactly five students out of 12 contract a stomach virus while visiting Mexico is approximately 0.2707 or 27.07%.

Step-by-step explanation:

To find the probability that exactly five students out of 12 contract a stomach virus while visiting Mexico, we can use the binomial probability formula.

The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the number of students who contract the virus, k is the specific number we're interested in (in this case, 5), n is the total number of students (12), p is the probability of one student contracting the virus (0.23), and "n choose k" is the binomial coefficient - the number of ways to choose k objects out of n, which can be calculated using the formula n!/(k!(n-k)!).

Using these values, we get:

P(X=5) = (12 choose 5) * 0.23^5 * (1-0.23)^(12-5)

= 792 * 0.0009765625 * 0.3457171406

= 0.2706918748

Therefore, the probability that exactly five students out of 12 contract a stomach virus while visiting Mexico is approximately 0.2707 or 27.07%.

Answer:

Terms: 7, 5c, 2k, 15

Variables: C, K

Co efficients: 5, 2

Constants: 7, 15

Answer:

it’s f(x)=135cos(34 pi t)+262

Step-by-step explanation:

got it right on edge

The function represents the height, in feet, of the tip of this blade after t minutes is h = 135sin(π3.5t)+262. Then the correct option is A.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B- The initial height of the blade above the ground.

A- The amplitude of the length of the blade.

x - period.

The initial height is 262 ft, therefore, B = 262ft. The amplitude of the length of the blade is 135ft. Therefore, A = 135.

The period is two rotations every minute, therefore the period should be:-

x =60/17

x = 3.5π

Finally, the equation that can be used to model h is:

h = 135sin(π3.5t)+262

Hence, the correct option is A.

The complete options are given below:-

A. h = 135sin(π3.5t)+262

B. h = 262sin(π3.5t)+135

C. h = 3.5sin(π262t)+135

D. h = 135sin(π262t)+ 3.5

To know more about functions follow

https://brainly.com/question/2490759

#SPJ2

By using Python, you will come up with your own challenging algorithm for other students to trace.

If a certain is true, the if/else expression triggers a sequence of instructions to run. Another piece of code may be run if the condition is false.

The if/else statement is a component of Python's "Conditional" Statements, which are used to carry out various operations based on various circumstances.

These conditional statements are available in Python:

If you want a block of code to run only if a certain condition is true, use the if statement.

If the same expression is false, use instead that to provide a set of instructions that should be run.

If the first expression is false, can use else if sentence to establish a comprehensive criterion to test.

To choose which of the several program code should be performed, use the switch.

How to write the code?

num = 100

if num < 20:

print('Less than 20')

if num < 30:

print('Less than 30')

if num < 40:

print('Less than 40')

if num < 50:

print('Less than 50')

if num > 100 or num == 100:

print('More than or equal to 100')

To learn more abou If else statements, visit:

https://brainly.com/question/17140925

#SPJ4

Answer:

238

Step-by-step explanation:

340 times 0.7 is 238

Answer:

238

Step-by-step explanation:

30% of 340

30/100×340

3/10×34

3×34

102 is the decrease

So,340-102

=238

Answer:

658.938

Step-by-step explanation:

Rectangle Area: 11·10=110

Triangle Area: \(\frac{1}{2}\)·8·10=40

Semicircle Area: 508.938

Add it all up: 658.938

Answer:

210

Step-by-step explanation:

if you divide 126 by 3 you get 42 than multiply by 5 and you get 210

Volume is equal to \(a^{3}\) where an is the width or length of its edges.

The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes \(centimetres^{3}\), \(metres^{3}\), \(inches^{3}\), \(feet^{3}\), etc.

A solid three-dimensional figure with 6 square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square shape means that all of its sides are square, and as a result, all of its edges would be of equal length. As a result, the cube's length, breadth, or height are all equal.

If a cube's length, breadth, and height are equal to "a," then;

Cube volume = a\(\times\)a\(\times\)a.

Therefore, Volume of cube is \(a^{3}\) where a is the length of the edge.

To learn more about cube visit: https://brainly.com/question/28134860

#SPJ9

Answer:

1 gallon and a 1/4 of gallo. So..

1 1/4

Step-by-step explanation:

Answer:

1.25 liquid gallons

Step-by-step explanation:

hope this helps:)

Answer: t ≈ 2,403,603

Step-by-step explanation:

z = the z-score associated with the desired level of confidence (for a 5% precision, z = 1.96)

σ = the standard deviation of the background count rate (which is equal to the square root of the background count rate)

E = the desired level of precision (in this case, 5% or 0.05)

Substituting the given values, we get:

σ = sqrt(600) = 24.49

t = (1.96 * 24.49 / 0.05)^2

Step-by-step explanation:

If 15 oranges were bought,

the total cost would be 15 * ¥90 = ¥1350.

¥1890 - ¥1350 = ¥540.

For every orange that switches to an apple,

the cost increases by ¥150 - ¥90 = ¥60.

Number of apples = ¥540 / ¥60 = 9.

Therefore there are 6 oranges and 9 apples.

Answer:

6 oranges and 9 apples.

Step-by-step explanation:

Let the number of oranges be x then the number of apples = 15 - x.

So  90x +  150(15 - x) = 1890

90x - 150x + 2250 = 1890

-60x = -360

x = 6

and number of apples = 15 - 6

So it's 6 oranges and 9 apples.

The smaller minimum value is -9 in function q(x). Therefore, option C is the correct answer.

The given function is q(x)=x²+2x-8.

Substitute, x=-4, -3, -2, -2, 0, 1 in the given function we get

When x=-4

q(-4)=(-4)²+2(-4)-8

= 0

When x=-3

q(-3)=(-3)²+2(-3)-8

= 9-6-8

= -5

When x=-2

q(-2)=(-2)²+2(-2)-8

= 4-4-8

= -8

When x=-1

q(-1)=(-1)²+2(-1)-8

= 1-2-8

= -9

When x=0

q(0)=-8

When x=1

q(1)=(1)²+2(1)-8

= -5

Therefore, option A is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

(a)  (1203)4 is equal to 99 in decimal and 12 in hexadecimal.

(b)  (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.

To convert numbers from different bases to decimal using the direct method, we multiply each digit of the number by the corresponding power of the base and sum the results. To convert to hexadecimal using the intermediary binary conversion method, we first convert the number to binary and then group the binary digits into groups of 4, starting from the rightmost digit, and convert each group to its hexadecimal equivalent.

(a) Converting (1203)4 to decimal:

(1203)4 = 1 * 4³ + 2 * 4² + 0 * 4¹ + 3 * 4⁰

= 64 + 32 + 0 + 3

= 99

Converting (1203)4 to hexadecimal:

First, convert (1203)4 to binary:

(1203)4 = (10010)2

Next, group the binary digits into groups of 4:

(10010)2 = (0001 0010)2

Finally, convert each group to its hexadecimal equivalent:

(0001 0010)2 = (12)16

Therefore, (1203)4 is equal to 99 in decimal and 12 in hexadecimal.

(b) Converting (5243)8 to decimal:

(5243)8 = 5 * 8³ + 2 * 8² + 4 * 8¹ + 3 * 8⁰

= 2048 + 128 + 32 + 3

= 2211

Converting (5243)8 to hexadecimal:

First, convert (5243)8 to binary:

(5243)8 = (101 010 100 011)2

Next, group the binary digits into groups of 4:

(101 010 100 011)2 = (0001 0101 0010 0011)2

Finally, convert each group to its hexadecimal equivalent:

(0001 0101 0010 0011)2 = (1523)16

Therefore, (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.

Learn more about Binary Conversion Method at

brainly.com/question/31675609

#SPJ4

Mrs. Ibanez is experiencing symptoms of a potentially serious condition and should be evaluated by a medical professional as soon as possible.

Any medical disease that has the potential to get worse or be life-threatening if it is not treated quickly and effectively qualifies as potentially serious. Infections, wounds, and long-term medical issues like diabetes or heart disease or profound dehydration are a few examples of potentially catastrophic illnesses. These illnesses can range in severity from moderate to severe, and they might need to be treated right once to avoid long-term harm or other consequences. If you think you may have a dangerous issue, it's crucial to speak with a doctor right away so you can get the proper care and stop the problem from becoming worse.

To learn more about, potentially serious condition, visit:

https://brainly.com/question/15188861

#SPJ4

The probability of the commuting time being between 50 and 60 minutes is determined for a train with a uniformly distributed commuting time between 40 and 90 minutes.

In a uniform distribution, the probability density function (PDF) is constant within the range of the distribution. In this case, the commuting time is uniformly distributed between 40 and 90 minutes. The PDF for a uniform distribution is given by:

f(x) = 1 / (b - a)

where 'a' is the lower bound (40 minutes) and 'b' is the upper bound (90 minutes) of the distribution.

To find the probability that the commuting time falls between 50 and 60 minutes, we need to calculate the area under the PDF curve between these two values. Since the PDF is constant within the range, the probability is equal to the width of the range divided by the total width of the distribution.

The width of the range between 50 and 60 minutes is 60 - 50 = 10 minutes. The total width of the distribution is 90 - 40 = 50 minutes.

Therefore, the probability that the commuting time will be between 50 and 60 minutes is:

P(50 ≤ x ≤ 60) = (width of range) / (total width of distribution) = 10 / 50 = 1/5 = 0.2, or 20%.

Thus, there is a 20% probability that the commuting time on this particular train will be between 50 and 60 minutes.

Learn more about probability density function here:

https://brainly.com/question/31039386

#SPJ11

Answer:

1.2

Step-by-step explanation:

Answer:

C option: 6 feet

Step-by-step explanation:

Since Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet.

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool

This means the depth of pool should be 6 feet if Yolanda wants to keep the pool in proportion to the model.

Plz give brainliest

Answer:

its c

Step-by-step explanation:

i got it right

Answer:

Step-by-step explanation:

True-False questions consists of 2 possible answer, which are 50% each, so basically is Charlie was just guessing 201 questions, which means his possibility of getting everything correct is \(\frac{1}{2^2^0^1}\), which is really small, his chance of getting 53,7% correct is \(\frac{1}{2^2^0^1 * 0.537}\) which is roughly arround \(\frac{1}{2^2^0^0}\)

Answer:

x = -6

Step-by-step explanation:

100% correct 2022

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

Step-by-step explanation:

I will assume you you meant solve for A

so from that assumption we simply make A the subject of formula

3A=R-3D

A=(R-3D)/3

Answer:

your answer will be B

Step-by-step explanation:

have a nice day/night !!!

Answer:

A

Step-by-step explanation:

it is joined so it is symmetrical