How do I solve the area?

The event  the number is even and less than 12 covers the entire sample space of this experiment.

What is sample space?

In probability theory, the set of all feasible outcomes or outcomes of an experiment or random trial is referred to as the sample space. The sample points, or potential ordered outcomes, are listed as elements in the set used to represent the sample space.

Given:

A number is selected at random from the set {2, 4, 6, 8, 10}.

Let's examine each instance:

A. There are more than two.

When we get number 2, this does not apply to the situation. 2 is equal to 2 and not greater, therefore.

B. The number is not divisible by 5, whereas 10 and 5 are. As a result, the sample space is not completely covered.

C. It's an even number or less than 12.

Let's note that every number from "2, 4, 6, 8, 10" is less than 12, indicating that the event's even portion has no bearing. This encompasses the whole sample area.

D. Neither the number is prime nor is it a composite.

There cannot be a number that is neither prime nor composite because they are mutually exclusive terms in mathematics. No number of the set is covered by this event.

E. The number's square root is less than 3.

This excludes the number 10, whose square root is approximately 3,16, which is greater than 3.

Hence, the event  the number is even and less than 12 covers the entire sample space of this experiment.

To know more about sample space, click on the link

https://brainly.com/question/29719992

#SPJ1

The greatest common factor of 364, 916895, 378 is 7

The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)

In this problem, we have the numbers given with combination

A)

¹⁴C₃ = 364

Factors = 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

B) ⁷⁰C₄ = 916895

Factors = 1, 5, 7, 17, 23, 35, 67, 85, 115, 119, 161, 335, 391, 469, 595, 805, 1139, 1541, 1955, 2345, 2737, 5695, 7705, 7973, 10787, 13685, 26197, 39865, 53935, 130985, 183379, 916895

C) ²⁸C₂ = 378

Factors = 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

The greatest common factors is 7

Learn more on greatest common factor here;

https://brainly.com/question/17067741

#SPJ1

Answer:

y = 2/3x - 6

Step-by-step explanation:

Knowledge Needed

Slope-Intercept form: y = mx + b

Leave y and x as variables as it is easier for graphing.

m is the slope, or how much the y-value changes every timer the x-value increases by 1.

b is the y-intercept, or the x-value of the line when it has a x-value of 0 (when it hits the y-axis.)

Question

Using this information, lets first find the slope.

To find the slope, we can use the slope formula. Use any two sets of points to plug into the formula.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

I'll use the points:

(3, -4)

and

(6, -2)

Because they are marked.

Plug in your two y-values into the numerator and two x-values into the denominator.

[tex]\frac{-2 - - 4}{6 - 3}[/tex]

2/3

So, we have 2/3 as a slope. We can start writing the equation in slope-intercept form.

y = 2/3x + b

To solve for b, we can either examine the graph or solve it algebraically. However, if the graph is more complex we can't just look at it.

What is the x-value of the line when it touches the y-axis, or the bold vertical line?

-6

We know the y-intercept is -6.

y = 2/3x - 6

Thus, we get regression equation as 7.5 =ý - 0.9x

Regression analysis is a group of statistical procedures used in statistical modeling to calculate the associations between a dependent variable and one or more independent variables.

Here,

The points are given as:

Xi: 2; 6; 9; 13; 20

Yi: 7; 18; 9; 26; 23

From the table of values, we have:

ΣEx=2+6+9+13+ 20 = 50

ΣEy = 7+18+9+26+23=83

Also, we have:

ΣExy = 2 x 7+ 6 x 18+9x9+13 × 26 +20 × 23: 1001

ΣEx² = 22 +6² +92 +13² +20² = 690

ΣEy² =72 +18² +9² +26² +23² =1659

The slope (b) is calculated as:

b=[tex]\frac{x - \frac{xy}{D} }{x^{2} -\frac{x^{2} }{n} }[/tex]

So, we have:

b=[tex]\frac{1001 - \frac{50}{83} }{690^{2} -\frac{50^{2} }{5} }[/tex]

b = 0.9

The y-intercept (a) is calculated as:

a =ý - bx

Where

y' =Σy/n =83/5=16.6

x'=Σx/n=50/5 =10

So we get ,

a=16.5 * 9*10

a=7.5

Thus, we get regression equation as 7.5 =ý - 0.9x

To know more about regression equation , visit

https://brainly.com/question/14184702

#SPJ4

The expression that represents the amount of money Nakeisha would have saved in w weeks will be 70 + 8w

The total money Nakeisha have after 8 weeks of saving is $134.

Given that Nakeisha is saving up to buy a new jacket, she already has $70 and can save an additional $8 per week using money from her after school job.

The expression that represents the amount of money Nakeisha would have saved in w weeks is:

= 70 + 8(w)

= 70 + 8w

The total money the she would Nakeisha have after 8 weeks of saving will be:

= 70 + 8w

= 70 + 8(8)

= 70 + 64

= 134

The amount saved is $134.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

for A. Gavin would pay 10. because 1.00 + 3.00 + 3.00 + 3.00 is 10.
and for B. 1.50 + 2.00 + 3.00 = 6.50. so lian would get 3.50 change back.

If we choose to use a diameter of 201 for the experiment, the strength will be 786.6596.

Given, the experiment in which weld diameter and shear strength (in pounds) were measured for five distinct spot welds on steel produced the data that is included.

The gathered information and the regression equation are shown below.

Strength = -941.6992 + 8.5988×Diameter

we have to calculate the predicted y-hat value for the diameter value of 201.

Now, we are given the regression equation with the strength and diameter as the variables.

now, when we put the diameter equal to 201, the strength will be

Strength = -941.6992 + 8.5988×Diameter

Diameter = 201

Strength = -941.6992 + 8.5988×201

Strength = -941.6992 + 1,728.3588

Strength = 786.6596

So, the value of the strength be 786.6596

Consequently, the strength value when the diameter is 201 be, 786.6596.

Refer here to Learn more about Linear Regression Equation: https://brainly.com/question/25987747

#SPJ4

Answer:

1 1/4

Step-by-step explanation:

Divide 125 by 100, which gets you 1.25 (also known as 1 1/4)

Henry walked 1.25 miles each day to and from school.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Henry walks to and from school each day.

Distance travelled by Henry in 100 days = 125 miles

In order to find the distance travelled by Henry in 1 day to and from school, divide the total distance by 100.

Distance travelled in 1 day = 125 / 100 = 1.25 miles

Hence the distance Henry walk to and from school is 1.25 miles.

To learn more about Division, click on the link :

https://brainly.com/question/21416852

#SPJ2

Answer:

Hope it helps!

Step-by-step explanation:

Last year there were 74 students in the seventh grade class. This year there are 86 students in the seventh grade class.

Increase = 86 - 74 = 12

Percent Increase = (12/74) x 100 = 16.2%

The required slope (m) is -12 when the points given are (-3, 4) and (-3, -8).

In mathematics, a line's slope, also known as its gradient, is a mathematical expression of the line's steep slopes and orientation.

A line's steeper can be identified by looking at its slope.

The slope was calculated mathematically as "rise over run" (change in y divided by change in x).

So, the slope formula is:
m = y2 - y1/x2 - x1

Now, substitute the values and calculate the slope as follows:

m = y2 - y1/x2 - x1

m = -8 -4/-3+3

m = -12/0

m = -12

Therefore, the required slope (m) is -12 when the points given are (-3, 4) and (-3, -8).

Know more about slope here:

https://brainly.com/question/29280886

#SPJ1

The required scale factor is 2/3 for the given figures.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

As we know scale factor is the ratio of sides in the original image and the image after transformation.

The side length of CD = 15 units

The side length of GH = 10 units

The scale factor = length of GH / length of CD

The scale factor = 10/15

The scale factor = 2/3

Therefore, the required scale factor is 2/3 for the given figures.

Learn more about the Scale images here:

brainly.com/question/13194929

#SPJ1

Answer: 8.3 m / sec

Step-by-step explanation:

Take 100 divided by 12 = 8.3 meter per second

The coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).

What is transformation of points?

The reflection is the kind of transformation that takes place whenever a shape's points cross a line. When the points are reflected over a line, the image is on the opposite side of the line from the pre-image and is located at the same distance from the line. The image point is reflected from each point (p, q).

Given:

Quadrilateral ABCD has coordinates A(−2, 0), B(0, 4), C(4, 6), and D(2, 2).

First to find the coordinates after applying the transformation  

(x, y) ⟶ (–x, y).

So,

A(-2, 0) ⟶ A'(2, 0)

B(0, 4) ⟶ B'(0, 4)

C(4, 6) ⟶ C'(-4, 6)

D(2, 2) ⟶ D'(-2, 2)

Now applying the transformation (x, y) ⟶ (x, –y)

A'(2, 0) ⟶ A"(2, 0)

B'(0, 4) ⟶ B"(0, -4)

C'(-4, 6) ⟶ C"(-4, -6)

D'(-2, 2) ⟶ D"(-2, -2)

Hence, the coordinates of the image of ABCD after applying the given transformation are, A"(2, 0), B"(0, -4), C"(-4, -6), and D"(-2, -2).

To know more about transformations of points, click on the link

https://brainly.com/question/27895117

#SPJ1

The measure of the angle HBG found using the trigonometric ratio for cosines is about 27.266°

The trigonometric ratios is the set of relationships between the interior angles of a right triangle and the ratios of the lengths of two of the sides of the right triangle.

The measure of the size of the angle HBG, can be obtained from the specified lengths of the sides of the triangle ΔHBG and the trigonometric ratios as follows;

Length of BH = 27

Length of BG = 24

In the plane ABGH, the side BH is perpendicular to the side GH, therefore;

ΔHBG is a right triangle, where;

The hypotenuse side = BH

BG = The leg of the right triangle that is the adjacent side to the angle HBG.

The trigonometric ratios of the cosine of an angle is the ratio of the adjacent side to the angle to the hypotenuse of the right triangle.

[tex]cos(\theta) = \dfrac{Adjacent}{Hypotenuse}[/tex]

Therefore;

[tex]cos(\angle HBG) = \dfrac{24}{27}[/tex]

[tex]\angle HBG = arcos\left(\dfrac{24}{27}\right) \approx 27.266^{\circ}[/tex]

∠HBG ≈ 27.266°

Learn more about the trigonometric ratio of cosines here:

https://brainly.com/question/13276558

#SPJ1

Answer:

75% of the number is equal to 50

Step-by-step explanation:

To find 75% of a number, we can multiply the number by 0.75. To find the number, we can first use the equation 15% * x = 10 to find what 15% of the number is equal to. Then we can divide both sides of the equation by 0.15 to find the value of x.

Here's how we can solve this problem:

First, let's set up the equation that represents the problem: 15% * x = 10

Next, we can divide both sides of the equation by 0.15 to find the value of x:

(15% * x) / 0.15 = 10 / 0.15

This simplifies to:

x = 10 / 0.15

Finally, we can multiply x by 0.75 to find 75% of the number:

0.75 * x = 0.75 * (10 / 0.15)

This simplifies to:

0.75 * x = 50

Therefore, 75% of the number is equal to 50

Answer: 49.95

Step-by-step explanation:

15%/100%=0.15

The percent is the same as 0.15

0.15x=10

x= 66.6

0.75*66.6= 49.95

The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option a

a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

[tex]\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}[/tex]

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

[tex]\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}[/tex]

The equation that the model represents is therefore;

Learn more about multiplication models here:

https://brainly.com/question/24586779

#SPJ1

The correlation values that represent the perfect linear relationship between x and y are = b) 1 and d) -1

Now first we need to understand what is meant by correlation,

The mutual relation or degree to which two or more quantities are mutually linear or related to each other, hence their degree or relation of correlation is qualified by correlation coefficient.

According to the question we need to find the correlation value that represents a perfect linear relationship between x and y

Since we know according to the definition of correlation, the perfect linear relationship between x and y could be represented if their magnitude is 1.

Both positive and negative values of magnitude 1 (i.e 1 and -1)  are defined as the linear relationship between x and y.

Therefore, The correlation values that represent the perfect linear relationship between x and y are both 1 and -1

To learn more about correlation,

https://brainly.com/question/11316491

#SPJ4

The measure of the angle JKL as per the attached diagram is equal to 97 degrees.

As per in the question,

Diagram is attached.

Angle JKL is linear pair angle with given angle of measure 83 degrees.

Sum of the pair of linear pair is always equal to 180 degrees.

Let 'x' be the measure of angle JKL, we get,

83° + m ∠JKL = 180°

Subtract 83° from both the side of the equation we get,

⇒ 83° - 83° + m ∠JKL = 180° - 83°

⇒ m ∠JKL = 97°

Therefore, the measure of the angle JKL as per the attached diagram is equal to 97 degrees.

Learn more about angle here

brainly.com/question/28451077

#SPJ4

Answer:

In Jewish tradition, Abraham is called Avraham Avinu (אברהם אבינו), "our father Abraham," signifying that he is both the biological progenitor of the Jews and the father of Judaism, the first Jew.

Step-by-step explanation:

The following statements that are true four years from now, in the year 2024 are the Thrift segment will demand 7,745 thousand units and the Core segment will demand 9,779 thousand units.

Demand in economics refers to a consumer's readiness to pay a particular price for goods and services as well as their desire to buy them. Demand for a good or service typically declines when its price goes up. Demand describes the consumer's desire and willingness to purchase a good or service at a specific time or over an extended period of time. Additionally, consumers must be able to afford the items they want or need based on their budgeted disposable income. Demand therefore has an impact on market expansion and economic growth.

Given

The following statements that are true four years from now, in the year 2024 are:

The Thrift segment will demand 7,745 thousand units.

The Core segment will demand 9,779 thousand units.

To learn more about demand, visit:

https://brainly.com/question/29761926

#SPJ4

Answer:

Point slope

(-7, -5)

Equation form

x=-7, y=-5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

(-7, -5)

Step-by-step explanation:

y = x + 2

2x - 3y = 1

2x - 3(x + 2) = 1

2x - 3x - 6 = 1

-x - 6 = 1

    +6  +6

----------------

-x + 7

x = -7

y = x + 2

y = -7 + 2

y = -5

(-7, -5)

I hope this helps!

Answer:

$2

Step-by-step explanation:

This way the US can compete with the lower Mexican prices.

Answer:

The answer is A($2)

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Answer:

a. -2

Step-by-step explanation:

It will cost Randy about $7.07  to edge it.

The length of a circle's edge in straight lines is known as its circumference.

Because pi is the initial letter in the Greek word perimitros, which means "perimeter," it was given the name "pi" for the first time by [the Welsh mathematician] William Jones in 1706.

C = 2Πr

r = 1.5 feet

Π ≈ 3.14

C ≈ 2 × 1.5 × 3.14 feet

C ≈ 9.42 feet

9.42 × 0 .75 = 7.065

So it will cost randy about $7.07

To learn more about circumference of a circle visit:

https://brainly.com/question/11213974

#SPJ4

Regression analysis using the logistic regression, regression model best fits the description of the data.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method (also known as dependent and independent variables). Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables. As opposed to multivariate linear regression, which predicts numerous correlated dependent variables as opposed to a single scalar variable, this phrase is more specific.

When modeling relationships with linear predictor functions, the model's unknown parameters are inferred from the data.

The logistic regression method can be used in situations when the dependent variable is discrete. In other words, the likelihood of situations like pass/fail, true/false, 0/1, and so on that are mutually incompatible are calculated using this method. A sigmoid curve depicting the relationship between the independent variable and the target variable, which can only take on one of two values, and probability, which has a value between 0 and 1, are both present.

Regression analysis using the logistic regression regression model best fits the description of the data.

To know more about regression model, visit:

https://brainly.com/question/14983410

#SPJ1

The value of p in the equation m = 4 / (p - d) on solving is p =  (4 + md) / m.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

m = 4 / (p - d)

Multiply the denominator of the right side by the left term as shown below,

m (p - d) = 4

mp - md = 4

Add md to both sides,

mp - md + md = 4 + md

mp = 4 + md

p =  (4 + md) / m

To know more about equation:

https://brainly.com/question/12788590

#SPJ1

Answer:

42 minutes

Step-by-step explanation:

We can multiply 60 into 7/10 hours to convert 7/10 into hours, since 1 hour is 60 minutes.

= 60 (7/10)

= 420 / 10

= 42

Answer:

42 minutes

Step-by-step explanation:

you just have to remember to multiply and divide (its hard really hard to multiply like that and divide)

A total of 288 hours of exercise did by the end of the year.

What is distributive property?

Distributive Property is defined as the "distribute" of anything to divide it up or to give someone a piece of it.

Exercise in one month = 24 hours

Total exercise in a year = 24*12 = 288 hours

Hence, a total of 288 hours of exercise did by the end of the year.

To learn more about the distributive property

https://brainly.com/question/2807928

#SPJ4

Put all terms on one side of the equal sign, leaving zero on the other side.

Factor.

Set each factor equal to zero.

Solve each of these equations.

Check by inserting your answer in the original equation.