2 1/4=1 2/7 divided by x what is x

Answer:

\(P(A < 84)=\frac{4}{7}\)

Step-by-step explanation:

\(Total\ numbers:\ 7\\Numbers\ less\ than\ 84:\ 4\\\\P(A < 84)=\frac{4}{7}\)

If it rains, Jack will not attend the baseball game.

P: It is raining.

Q: Jack will not be attending the baseball game.

P is the antecedent, and Q is the consequent.

(If P is true, then Q is true.)

If it rains, Jack will not be able to attend the baseball game.

Symbolic expression (plural figurative expressions) (computing) A method of representing semi-structured data in human-readable text form that is mostly made up of symbols and lists and is widely used in the Lisp programming language.

Symbolic speech consists of nonverbal, nonwritten forms of communication such as flag burning, arm band wearing, and draught card burning.

A literary symbol is an object, a person, a situation, or an action in a story that has a literal meaning but implies or represents other meanings.

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Answer:

The value of a in the given equation is '4'

Step-by-step explanation:

The given equation is: 3a + 2b = 8 and b = -2

Plug the value of b into the formula:

3a + 2(-2) = 8

3a - 4 = 8

We want 3a by itself so we will add +4 to both sides:

3a - 4 + (4) = 8 + (4)

3a = 12

Divide both sides by 3 so a is by itself:

3a/3 = 12/3

1a = 4

a = 4

Answer:

True , null

Step-by-step explanation:

Mostly the true hypothesis is the null hypothesis .

We test the true hypothesis , the null hypothesis  against the claim provided which is named as alternate hypothesis.

When the false hypothesis is the null hypothesis , type II error is made.

Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.

So option 1 is correct

The cost for each apple tree is; $24 and fit each azalea would be; $15.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let consider X = apples trees and Y= azaleas

Therefore, the system of equation is;

6x + 5y = 219

3x + 4y = 132

Solving;

-2(3x + 4y = 132)

-6x - 8y = -264

6x + 5y = 219

-3y = -45

-3y/-3 = -45/-3

y = 15

Now substitute;

6x + 5y = 219

6x + 5(15) = 219

6x + 75 - 75 = 219 - 75

6x/6 = 144/6

X = 24

Thus, The cost for each apple tree is; $24 and fit each azalea would be; $15.

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Formula for finding area of rhombus: \(\frac{d1 * d2}{2}\)

d₁ = 16 yd

Area = 72 yd²

Rhombus Area =>

\(\frac{16 * d2}{2} = 72\)

16*d₂ = 144

d₂ = 9

AC = 9 yd

Hope it helps!

Answer:

See below

Step-by-step explanation:

Intersection of a regular octagon and a line segment can result in:

Refer to attached

Answer:

linear equations produce straight lines when graphed, and their rate of change remains constant

Nonlinear equations do not produce straight lines when graphed.

To determine whether its linear or nonlinear, you can graph it and see if it produces a straight line, or check if it can be written in the form y= Mx+b

Step-by-step explanation:

To determine the measures of the angles of a polygon are necessary the concepts of algebra by using the formula of the sum of interior angles and creating equations and obtaining the measures of unknown angle.

First, it is important to remember the formula for the sum of interior angles of a polygon, which is (n-2) x 180°, where n is the number of sides of the polygon.

Next, you can use algebra concepts to solve for the unknown angle measures. For example, if you know the sum of the interior angles and the measures of some of the angles, you can create an equation and solve for the unknown angle measures.

Here is an example:
If a quadrilateral has interior angles of 70°, 110°, and 120°, you can use the formula (4-2) x 180° = 360° to find the sum of the interior angles. Then, you can create the equation 70° + 110° + 120° + x = 360° and solve for x to find the measure of the unknown angle.

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John travelled a first distance of 280 kilometers and a second distance of 250 kilometers.

This question shows the case of John, who drove at constant speed his car on two roads. The travelled distance (s), in kilometers, is equal to the following formula:

s = v · t

Where:

Then, the total time (T), in hours, is found by means of the following expression:

T = t₁ + t₂

T = x₁ / v₁ + x₂ / v₂

Where:

If we know that v₁ = 100 km / h, v₂ = 80 km / h, x₂ = 530 km - x₁ and T = 6 h, then the first distance is:

(530 - x₁) / 100 + x₁ / 80 = 6

[80 · (530 - x₁) + 100 · x₁] / 8000 = 6

42400 - 80 · x₁ + 100 · x₁ = 48000

20 · x₁ = 5600

x₁ = 280 km

And the second distance is:

x₂ = 530 km - 280 km

x₂ = 250 km

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The range of the function that represents the volume if water throughout the tub after x minutes will be "\(5 \leq V(x) \leq 20\)".

According to the question,

V(x) is volume after x minute.

then,

→ \(V(x) = 0.5x+5\)

Volume of bathtub is 20 gallons,

→ \(20=0.5x+5\)

By substracting "5" from both sides of the equation, we get

→ \(20-5=0.5x+5-5\)

→       \(15=0.5x\)

→         \(x = \frac{15}{0.5}\)

→         \(x = 30\ minutes\)

hence,

→ \(5 \leq V(x) \leq 20\)

Thus the above answer is right.

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Answer:

\( \boxed{n = 8} \)

Step-by-step explanation:

\( = > 9n - 7 = 3 + 8n - 2 \\ \\ = > 9n - 7 = 8n + 3 - 2 \\ \\ = > 9n - 8n = 1 + 7 \\ \\ = > n = 8\)

Answer:

8

Step-by-step explanation:

9n - 7 = 3 + 8n - 2

Combine like factors.

9n - 7 = 8n + 1

Subtract 8n from both sides

n - 7 = 1

Add 7 to both sides.

n = 8

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient. This value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

The closer the coefficient is to -1 or 1, the stronger the correlation, while values near 0 indicate a weak or no correlation. Positive correlation, negative correlation, and no correlation are types of relationships between two variables.

Positive correlation (A) means that both variables tend to increase (or decrease) together. When one variable increases, the other also increases, and when one decreases, the other also decreases.

Negative correlation (B) means that two variables tend to change in opposite directions, with one increasing while the other decreases. When one variable increases, the other tends to decrease, and vice versa.

No correlation (A) means that there is no apparent relationship between the two variables. The changes in one variable do not seem to consistently affect the changes in the other variable.

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The probability of event A given event B, denoted as P(A | B), is 0.750. The probability of event B given event A, denoted as P(B | A), is 0.900. A and B are not independent events because the conditional probabilities P(A | B) and P(B | A) are not equal to the marginal probabilities P(A) and P(B), respectively.

To find P(A | B), we use the formula:

P(A | B) = P(A ∩ B) / P(B)

In this case, P(A ∩ B) = 0.45 and P(B) = 0.60.

Plugging these values into the formula, we get

P(A | B) = 0.45 / 0.60 = 0.750.

To find P(B | A), we use the formula:

P(B | A) = P(A ∩ B) / P(A)

Here, P(A ∩ B) = 0.45 and P(A) = 0.50.

Substituting the values, we find

P(B | A) = 0.45 / 0.50 = 0.900.

A and B are not independent because the probabilities of A and B are affected by each other. If A and B were independent, then P(A | B) would be equal to P(A), and P(B | A) would be equal to P(B). However, in this case, both P(A | B) and P(B | A) differ from their respective marginal probabilities. Therefore, A and B are dependent events.

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The answer is C, the square root of 65 (8.062).

Answer:

0.125

Step-by-step explanation:

Answer:

.125 bc I use a calendar

Step-by-step explanation:

that assignment

Answer:

In-33

out-58

rule, subtract 4

The probability that P(X1 < X2 < X3) is 1/8.

We can solve this problem using the fact that if X1, X2, X3 are independent exponential random variables with the same rate parameter λ, then the joint density function of the three variables is given by:

f(x1, x2, x3) = λ^3 e^(-λ(x1+x2+x3))

We want to find the probability that X1 < X2 < X3. We can express this event as the intersection of the following three events:

A: X1 < X2

B: X2 < X3

C: X1 < X3

Using the joint density function above, we can compute the probability of each of these events using integration. For example, the probability of A is:

P(X1 < X2) = ∫∫ f(x1, x2, x3) dx1 dx2 dx3

= ∫∫ λ^3 e^(-λ(x1+x2+x3)) dx1 dx2 dx3 (integration over the region where x1 < x2)

= ∫ 0^∞ ∫ x1^∞ λ^3 e^(-λ(x1+x2+x3)) dx2 dx3 dx1

= ∫ 0^∞ λ^2 e^(-2λx1) dx1 (integration by substitution)

= 1/2

Similarly, we can compute the probability of B and C as:

P(X2 < X3) = 1/2

P(X1 < X3) = 1/2

Note that these probabilities are equal because the three exponential random variables are identically distributed.

Now, to compute the probability of the intersection of these events, we can use the multiplication rule:

P(X1 < X2 < X3) = P(A ∩ B ∩ C) = P(A)P(B|A)P(C|A∩B)

Since A, B, and C are independent, we have:

P(B|A) = P(B) = 1/2

P(C|A∩B) = P(C) = 1/2

Therefore:

P(X1 < X2 < X3) = (1/2)(1/2)(1/2) = 1/8

Thus, the probability that X1 < X2 < X3 is 1/8.

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1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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The stem and leaf for the data values is

0       | 3   8

1        | 2  2   4

2       | 0  1   3  6

3       | 4

From the question, we have the following parameters that can be used in our computation:

Data values:

3 8 12 12 14 20 21 23 26 34

Sort in order of tens

So, we have

3 8

12 12 14

20 21 23 26

34

Next, we draw the stem and leaf as follows:

a | b

Where

a = stem and b = leave

number = ab

Using the above as a guide, we have the following:

0       | 3   8

1        | 2  2   4

2       | 0  1   3  6

3       | 4

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Answer:

should be 563

Step-by-step explanation:

11,19,27,35, 43, 51, 59, 67, 75, 83,

91, 99, 107, 115, 123, 131, 139, 147, 155, 163,

171, 179, 187, 195, 203, 211, 219, 227, 235, 243

(there is a notable difference of 80 on each row)

243+(80x4)=243+320=563

Answer:

563

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding to the previous term in the sequence gives the next term. In other words, .

Formula;

L = a + (n - 1)*d

Givens

n = 70

a = 11

d = 8

Solution;

t = 11 + (70 - 1)*8

t = 11 + 69*8

t = 11+ 552

t = 563

~Learn with lenvy~

Answer:

x-3y-7=0

Step-by-step explanation:

Dont care bruuhh

The value of N equals to -9.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

n+9/9=0

Now,

n+9/9=0

n+9=0

n=-9

Therefore, the answer of this algebra will be -9.

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Convert 2500mg to kg

step 1: convert 2500mg to g

step 2: Convert 2.5 g to kg

Therefore, 2500mg is equivalent to 0.0025kg

When 2 liters of paint is used to paint 1 3/5 doors, 1.25 liters of paint is needed to paint 1 door.

This problem involves mixed fraction and division. A mixed fraction involves a fraction expressed with its quotient and its remainder. Converting mixed fraction to improper fraction.

1 and 3/5 = ( 1×5 + 3 ) / 5

= 8/5

Thus 2 liters of paint is used to paint 8/5 doors.

Now applying rule of division of fractions, liters of paint to paint 1 door

= 2/ (8/5)

= ( 2 × 5 ) / 8

= 10 / 8

= ( 8×1 + 2 ) / 8

= 1 + 2/8

= 1 + 1/4  

= 1.25

-- The question is incomplete, the correct question is as follows --

"Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 and 3/5 doors. How many liters of paint are needed for 1 door? explain how you would represent the situation, then find the answer."

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Answer:

x =√969

Step-by-step explanation:

AC²=AB²+BC². (Formula)

(35)²=(16)²+BC²

1225-256=BC²

969=BC²

BC=√969

Answer:

It will drop 16.875 degrees

Step-by-step explanation:

3.75 × 4 = 15

.5 × 3.75 1.875

Answer:

-16.875

Step-by-step explanation:

This equation is quite simple and will only require one equation to solve. This is the equation,

-3.75×4.5=-16.875

The final answer is -16.875

Answer:

cos N = 7/25 =.28

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj side / hypotenuse

cos N = MN/ LN

We need to find the ad

Using the Pythagorean theorem

a^2+b^2 = c^2

MN^2 + 48^2 = 50^2

MN^2 + 2304 =2500

MN^2 = 2500-2304

MN^2 =196

Taking the square root

MN =14

cos N = MN/ LN

cos N = 14/50

cos N = 7/25

Answer: CosN (0.28)

A²+B²=C²

In this case we are trying to find the base so

C²-A² = B²

So 50² subtract 48²= B²

2,500 subtract 2,304 = 196

Square root of 196 = 14

Now we have all 3 sides of the triangle we find

Soh Cah Toa

Cah means Cos=Adjacent / hypotenuse

First we identify the Angle before we can decide which of the sides is labelled opposite anx adjacent

We have Angle N and we know our hypotenuse (The longest side of the triangle)

The opposite of the angle would be our opposite and the one thats niether our opposite or hypotenuse is our adjacent

In this cse the angle we solved for B²= 14

Again back "Cah" Cos= Adjacent/hypotenuse

So, 14/50 = 0.28

Step-by-step explanation: