help me out
14 < n - 22​

On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(A and B) = P(A)P(B|A).

P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).

Using the general multiplication rule, we have

P(E and F) = P(E)P(F|E)

.392 = P(E)(.7)

P(E) = .56

   P(E and F) = P(F)P(E|F)

.392 = P(F)(.56), so

P(F) = .7

P(E or F) = P(E) + P(F) - P(E and F)

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer: B

Step-by-step explanation: B. So that people would keep buying new things

Goods are often planned to become obsolete in order to encourage people to continue buying new things. This can be done by intentionally designing products with a limited lifespan or by using materials that are prone to wear and tear. Companies may also release new versions of products or discontinue support for older models in order to encourage consumers to upgrade to the latest version. By making their products become obsolete, companies can create a sense of urgency for consumers to keep buying new things and maintain their sales.

Answer:

A = 220 cm²

Step-by-step explanation:

The area of the rectangle is :

The area of the triangle is:

The total area is:

-Chetan K

The area of this polygon is equal to 220 cm².

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

For finding the area, the steps are presented below.

   STEP 1 - Identify the basic shapes.

The polygon is composed of one triangle and one rectangle. Therefore, you should sum the area of these geometric figures.

   STEP 2 - Find the area of the triangle.

       Area of the triangle - \(A_{triangle}=\frac{bh}{2}\) . The figure shows:

      b= length of the base= 18-7=11 cm

       h=height=15-11=4cm

       Then,  \(A_{triangle}=\frac{bh}{2}=\frac{11*4}{2}=\frac{44}{2} =22 cm^2\).

   STEP 3 - Find the area of the rectangle.

      Area of the rectangle- \(A_{rectangle}=bh\) . The figure shows:

       b= length of the base= 18 cm

        h=height= 11 cm

       Then, \(A_{rectangle}=bh=18*11=198cm^2\)  .

   STEP 4 - Find the area of the polygon .

                    \(A_{polygon}=A_{triangle}+A_{rectangle}\\ \\ A_{polygon}=22+198\\ \\ A_{polygon}=220cm^2\)

Learn more about the area of compound shapes here:

brainly.com/question/15884960

Answer: 1

Step-by-step explanation:

2000 + (2000-2000)(2000) / 2000

2000 + (0)(2000) / 2000

2000 + 0 / 2000

2000 / 2000

1

Answer:

6/5

Step-by-step explanation:

rise/run

By direct multiplication of fractions, we will see that she uses 1/30 of the original container of applesauce to bake the muffins.

Remember that the product of two fractions is just:

\(\frac{x}{y} \frac{a}{b} = \frac{x*a}{y*b} \)

Now, we know that Sasha gets 1/3 of the applesauce, and she uses 1/10 of what she gets to make the muffins. So the fraction that she uses is just the product of these two:

\(\frac{1}{3}* \frac{1}{10} = \frac{1}{30} \)

This means that she uses 1/30 of the original container of applesauce to bake muffins.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Answer:  6 * 24 = 144 ways.

Step-by-step explanation:

Solution:

Given word => DANGER.

The condition is that vowels can't occupy odd places so, we will let them occupy even places.

A total number of arrangements will be = 6 * 24 = 144 ways.

Answer: 6x24 = 144 ways.

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

For more questions on probability

https://brainly.com/question/251701

#SPJ8

Answer: r=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

-4=(r-17)/(3-(-2))

-4=(r-17)/5

r-17=-20

r=-3

(3, -3), r= -3.

Using the point and the slope, we are able to find the equation of this line.

Formula: \(y-y_1=m(x-x_1)\), where \(x_1\) and \(y_1\) are the coordinates of a point the function goes through, and m is the slope of the equation.

Substitute in the formula and calculate.

\(y-(17)=(-4)(x-(-2))\\ \\y-17=-4(x+2)\\ \\y-17=(-4)(x)+(-4)(2)\\ \\y-17=-4x-8\\ \\y-17+17=-4x-8+17\\ \\y=-4x+9\)

The irdered pair we're trying to complete has an x with a value of 3. Hence, if we use that value and substitute in the formula we found for the equation, we can find the y value and complete the ordered pair.

\(y=-4(3)+9\\ \\y=-12+9\\ \\y=-3\)

Answer:

Step-by-step explanation:

As we have,

y=mx+c

7x-5y=10

7x-10=5y

y=(7x-10)/5

y=7x/5-10/5

y=7x/5-2

Answer:

1.\(\frac{24}{7}\)
2.\(\frac{21}{6}\)

Step-by-step explanation:

Given the following questions:

\(3\frac{3}{7} \\3\frac{5}{6}\)

To convert mixed numbers into improper fractions we need to multiply the denominators by the whole numbers, and then add that answer to the numerator while of course keeping the denominator the same.

Question one:

\(3\frac{3}{7} \\3\frac{3}{7} =7\times3=21+3=24=\frac{24}{7} \\=\frac{24}{7}\)

Question two:

\(3\frac{5}{6} \\3\frac{5}{6}=6\times3=18+3=21=\frac{21}{6} \\=\frac{21}{6}\)

Your answers are "24/7, and 21/6."

Hope this helps.

The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

Learn more about expressions on

https://brainly.com/question/723406

#SPJ1

Answer:

\(\boxed {\boxed {\sf y=\frac {1}{4}x-2}}\)

Step-by-step explanation:

Since we are given a point and a slope, we can use the point-slope formula.

\(y-y_1=m(x-x_1)\)

where m is the slope and (x₁ , y₁) is the point the line passes through.

We know the point is (4, -1).

We have to find the slope. We know that the line is parallel to y=1/4x.

This line has a slope of 1/4 (1/4 is the coefficient of x), and parallel lines have the same slope. Therefore, the line we are finding also has a slope of 1/4.

So, we know that:

Substitute these values into the formula.

\(y--1=\frac{1}{4}(x-4)\)

Now we must put the equation into slope-intercept form, or y=mx+b. We have to isolate y on one side of the equation.

First, distribute the 1/4. Multiply each term inside the parentheses by 1/4.

\(y--1=(\frac {1}{4}*x )+(\frac{1}{4} * -4)\\y+1= \frac {1}{4}x-1\)

1 is being added to y. The inverse of addition is subtraction, so subtract 1 from both sides of the equation. This will leave the variable y by itself.

\(y+1-1= \frac {1}{4}x-1-1\)

\(y=\frac {1}{4}x-1-1\\y=\frac {1}{4}x-2\)

The equation of the line is y=1/4x-2

Answer: The answer should be 0.207%

Step-by-step explanation:

540.54/261040.5

54054/26104050

429/207175

0.00207 X 100/100

0.207/100

0.207%

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

Learn more about subset here:

https://brainly.com/question/24138395

#SPJ1

Answer:

i tink its D

Step-by-step explanation:

Answer: C (-3, -2)

Step-by-step explanation: because it is

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

Learn more about adding mixed fractions here:

https://brainly.com/question/21610929

#SPJ1

Answer:

\(d=\dfrac{t^2}{a}\)

Step-by-step explanation:

The time  in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this  equation.

t = va

We need to find the expression for d in terms of t and a.

As velocity = distance/time

\(t=\dfrac{d}{t}a\\\\t^2=da\\\\d=\dfrac{t^2}{a}\)

So, the distance d is \(\dfrac{t^2}{a}\).

Answer:

A

Step-by-step explanation:

Turn into equation

2n+10=16

Subtract 10 from both sides

2n=6

Divide by 2 from both sides

n=3

Answer:

B

Step-by-step explanation:

Given:

j = 25 and k = 5

We are required to evaluate j/k - 0.2k

ANSWER:

4

EXPLANATION:

Substitute 25 for j and 5 for k in the equation

We have:

The answer is 4

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

To learn more about volume visit:

https://brainly.com/question/16860802

#SPJ1

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

hello

to solve this question, we simply need to subtract 8.9% from 100 and then find the value

or we can still use this value but instead find the ratio between the first month and the total sales

we find 8.9 % from the total sale which is 37800 copies

from the calculations above the total sales is equal to 424,719 copies

Answer:

y = 65 degrees

Step-by-step explanation:

(this is what i remember from geometry at least so let me know if i got anything wrong)

2x+25 and 3x-10 are opposites which means they are equal to each other.

2x+25 = 3x-20 get the x values on the same side by subtracting 2 from both sides

25 = x-20 to get the x value alone add 20 to both sides

45 = x

now you can plug in x to either equation to find out what their degree is

2(45)+25 = 115 degrees

and since this equation and y are on the same line you can subtract 115 from 180 (a line is equal to 180 degrees) to find y

180-115 = 65 degrees

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle. The value of the variables x and y are 35 and 85, respectively.

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

The angle measuring (2x+25)° and (3x-10)° are vertical angles. Therefore, we can write,

(2x + 25) = (3x - 10)

2x + 25 = 3x - 10

25 + 10 = 3x - 2x

x = 35

Also, in the given image the angle measuring (2x + 25)° and y° are supplementary angles, therefore, we can write,

(2x + 25)° + y° = 180°

2x + 25 + y = 180°

Substitute the value of x,

2(35) + 25 + y = 180

70 + 25 + y = 180

95 + y = 180

y = 85°

Hence, the value of the variables x and y are 35 and 85, respectively.

Learn more about Vertical angle here:

https://brainly.com/question/24460838

#SPJ2