The probability of an event must have what value?

Answer:

the answer is simple

Step-by-step explanation:

The domain and range for the function shown in the graph above include the following:

D. D: [-∞, ∞]

    R: [-10, ∞]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-10, ∞] or y ≥ -10

Read more on domain here: brainly.com/question/9765637

#SPJ1

Answer:

1.47

Step-by-step explanation:

i = prt

i = 21.75 x 0.07 x1

1 = 1.47

Answer:

  x = 11

Step-by-step explanation:

The midsegment is half the length of the parallel base segment.

  JH = 1/2(LM)

  x = 1/2(22) = 11

Answer:

we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating

Step-by-step explanation:

We are given;

Population mean; μ = 31.2

Sample mean; x¯ = 31.4

Sample size; n = 230

standard deviation; σ = 2.5

Significance level = 0.05

Let's define the hypotheses;

Null hypothesis; H0: μ = 31.2

Alternative hypothesis; Ha: μ ≠ 31.2

Formula for the test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (31.4 - 31.2)/(2.5/√230)

z = 0.2/0.4564

z = 0.44

From online p-value from z-score calculator attached and using;

z = 0.44; two tailed hypothesis; significance value = 0.05

We have;

P-value = 0.659937

This p-value is greater than the significance value and thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

for more such questions on quadrilateral

https://brainly.com/question/27991573

#SPJ8

Answer:

c? sorry if it's wrong...

The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

For a hypothesis test of H₀, p = 0.35 against the alternative,

And, Hₐ: p > 0.35, the z test statistic is found to be 2.45.

Now, We get;

P(z < 2.45) = 0.9929

Hence, Significant is,

⇒ 1 - 0.9929 = 0.0071

Thus, Significant at both 0.05 and 0.01 because both are greater than 0.0071.

So, The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

x = -10

Step-by-step explanation:

Given the linear function, g(x) = -x + 3, and that g(x) = 13:

In this particular problem, it asks for you to find the input value that corresponds to an ouput value of 13.  

Substitute the output value into the function, and solve for the input (x-value):

g(x) = -x + 3

13 = -x + 3

Subtract 3 from both sides:

13 - 3 = -x + 3 - 3

10 = -x

Next, divide both sides by -1 to solve for x:

\(\LARGE\mathsf{\frac{10}{-1}\:=\frac{-1x}{-1} }\)

x = -10

Therefore, the input value that corresponds to g(x) = 13 is x = -10.

Answer:

4.44444444444 or 40/9

Step-by-step explanation:

i searched it up

8 divided by 1 4/5 in fraction form will be 40 / 9. Then the faction number 40 / 9 in the decimal form will be 4.4444.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The mixed fraction number is converted into a faction number.

⇒ 1 4/5

⇒ 1 + 4/5

⇒ (5 + 4) / 5

⇒ 9/5

Then the quotient of the numbers 8 and 9/5 will be given as,

⇒ 8 / (9/5)

⇒ 8 x 5 / 9

⇒ 40 / 9

The faction number 40 / 9 in the decimal form will be 4.4444.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

the answer can vary between x=−1 or x=2 or x=−3 or x=3

explanation:

x4−x3−11x2+9x+18=0

Step 1: Factor left side of equation.

(x+1)(x−2)(x+3)(x−3)=0

Step 2: Set factors equal to 0.

x+1=0 or x−2=0 or x+3=0 or x−3=0

x=−1 or x=2 or x=−3 or x=3

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

To know more about slope , visit:

https://brainly.com/question/3493733

#SPJ1

Answer:

That would take you 7 hours to get to your location.

Answer:

Independent

Step-by-step explanation:

Flipping a coin is independent of each flip.

Answer:

Independent

Step-by-step explanation:

The flipping of two coins are an independent event. The reason for this is that one coin flip does not affect the outcome of the other flip. An example of a dependent event would be coat sales and weather, as cold weather would affect the amount of coats sold.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Step-by-step explanation:

T = 55 + 6w

after 8 week $103

Answer : The answer is option c evaporation

The process in the water cycle that is not driven by the force of gravity is evaporation.

           The water cycle is a series of processes that transport water between the earth's water bodies to the atmosphere, and land, including precipitation in the form of rain as well as snow, evaporation, and transpiration to restore water to the atmosphere.

           The force of gravity is a universal force of attraction that acts on any matter coming towards the earth's surface.

           From the given options, the only option that is not driven by the force of gravity is evaporation.

           This is because water substances evaporate upward and not downward the earth's surface.

Learn more about  the water cycle here:

https://brainly.com/question/2178165

Answer:

an inequality is a relation that states that two or more numbers or mathematical expressions are inequal to each other. It makes that comparison that they are not equal. In the real world they are used in budgeting, in counting materials for manufacturing goods, and in business

Step-by-step explanation:

Answer

Check Explanation

Explanation

To understand inequality, one needs to first note the meaning of the 'equal to' sign in Mathematics (=)

'=' sign means the terms or variables on either sides of the sign are basically the same.

So, when these terms on either sides aren't the same, and we want to show the specific relationship between the terms, we use a statement of order (this is what an inequality means; a statement of order) to show this relationship.

There are a number of different inequalities in Mathematics,

'Greater than' (>)

This is used for terms where the term on the left hand side is bigger than the term on the right hand side. For example, 7 is greater than 2

7 > 2

'Less than' (<)

This is used for terms where the term on the left hand side is smaller than the term on the right hand side. For example, 2 is lesser than 7

2 < 7

'Greater than or equal to' (≥)

This is used when the term on the left hand side is bigger or equal to the term on the right hand side.

'Less than or equal to' (≤)

This is used when the term on the left hand side is smaller or equal to the term on the right hand side.

Hope this Helps!!!

Answer: 330

Step-by-step explanation: add 50 to 280 :)

Answer:

Reject the null hypothesis because the value of null is outside the interval.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

To learn more about equilibrium of demand and supply:

https://brainly.com/question/30237240

Answer is -9 litterly just take a postive and make it into a negative

Answer:

meter equals 1.312 steps because 1 times 1.312 (the conversion factor) = 1.312

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The equation that represent the given situation is y = 15x + 70

When she plants 3 stalks, each plant yields 115 ounces of beans

The first point = (3, 115)

When she plants 8 stalks, each plant yields 190 ounces of beans

The second point = (8, 190)

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

Substitute the values in the equation

The slope of the line m = (190-115) / (8-3)

= 75/5

= 15

The point slope form is

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

Choose one point and substitute the values in the equation

y - 115 = 15(x - 3)

y - 115 = 15x - 45

y = 15x - 45 + 115

y = 15x + 70

Hence, the equation that represent the given situation is y = 15x + 70

Learn more about slope of the line here

brainly.com/question/16180119

#SPJ1

The value of 8x over 2y is  \(\frac{4x}{3(x-4)}\)

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well,

for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation. Look at the image below to understand the parts of an equation.

Given:

3x- y = 12

So,

y = 3x - 12 = 3( x-4)

Now,

8x/2y

=4x/y

=4x/ 3(x-4)

=\(\frac{4x}{3(x-4)}\)

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

Find out more on linear equations here: https://brainly.com/question/14323743

#SPJ1

The number of balloons needed to fill the room is given as follows:

5729 balloons.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions of the room are given as follows:

15 ft, 25 ft and 8 ft.

Hence the volume is given as follows:

V = 15 x 25 x 8

V = 3000 ft³

The volume of a sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:

V = 4πr³/3.

The balloon has a radius of 0.5 ft, hence it's volume is given as follows:

V = 4π x 0.5³/3

V = 0.5236 ft³.

Then the number of balloons is obtained as follows:

3000/0.5236 = 5729 balloons.

More can be learned about the volume of a rectangular prism at brainly.com/question/22070273

#SPJ1

Answer:

subtract $80 from her initial change

Step-by-step explanation:

you didnt say what the initial balance in her bank account was

multiply 20 by 4 to see how much she loses in total and then subtract it from what she had in the beginning