If a fair die is rolled 4 times, what is the probability, rounded to the nearest thousandth, of getting at least 3 twos?

Answer:

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

Total hours worked is x + y.

Earning from the part time job is 24x, from the internship is 12y.

Inequality for the number of hours:

Inequality for the earning:

This can be simplified by dividing all terms by 12:

Answer:

[tex]\begin{cases} x+y < 15\\24x+12y \geq 240 \end{cases}[/tex]

[tex]\begin{cases} x+y < 15\\2x+y \geq 20 \end{cases}[/tex]

Step-by-step explanation:

Part-time job

Internship

The student needs to work less than 15 hours a week:

[tex]\implies x+y < 15[/tex]

The student needs to earn at least $240 a week:

[tex]\implies 24x+12y \geq 240[/tex]

Therefore, the system of inequalities is:

[tex]\begin{cases} x+y < 15\\24x+12y \geq 240 \end{cases}[/tex]

The second inequality can be simplified by dividing each term by 12:

[tex]\implies \dfrac{24x}{12}+\dfrac{12y}{12} \geq \dfrac{240}{12}[/tex]

[tex]\implies 2x+y \geq 20[/tex]

Therefore, a second system of inequalities is:

[tex]\begin{cases} x+y < 15\\2x+y \geq 20 \end{cases}[/tex]

To solve the system of equalities, graph both inequalities and shade the overlapping region.  

Any (x, y) point in the overlapping region is a solution to the system of inequalities.

The snow is needed to build the whole snowman is 19 cubic foot. Hence option A is the correct option.

What is a sphere?

The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.

Given that the diameter of the bottom ball is 3 feet, the diameter of middle ball is 2 feet, and the diameter of the top ball 1.

The radius of a sphere is the half of its diameter.

The radius of the bottom ball is 3/2 feet =1.5 feet

The radius of the middle ball is 2/2 feet = 1 feet.

The radius of the top ball is 1/2 feet = 0.5 feet.

The volume of a sphere is 4/3 × ∏r³.

The volume of  bottom ball is  4/3 × ∏ × (1.5)³  cubic foot.

The volume of  middle ball is  4/3 × ∏ × (1)³  cubic foot.

The volume of  middle ball is  4/3 × ∏ × (0.5)³  cubic foot.

The total amount of snow is

4/3 × ∏ × (1.5)³ + 4/3 × ∏ × (1)³ + 4/3 × ∏ × (0.5)³

=  4/3 × ∏ [1.5³  +1³  + 0.5³ ]

=  4/3 × ∏× 4.5

= 18.84

≈ 19 cubic foot

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Step-by-step explanation: Without more information, it is impossible to determine the experimental probability that a coin will land on heads. The experimental probability of an event is determined by performing experiments and observing the results. For example, if we were to flip a coin 10 times and it landed on heads 6 times, we could say that the experimental probability of the coin landing on heads is 6/10, or 0.6. However, without knowing the results of any experiments, it is impossible to determine the experimental probability of the coin landing on heads.

Answer: We should ASSUME 1/2 or 50%

Step-by-step explanation: Since we don't know the exact number of times the person flipped the coin, we must infer you mean he/she flips the coin once. So, If a coin has 2 sides and the probability is 100% total, we can write an expression to help us solve:

P(Probability)= 100/2

P= 50% or 1/2

How I got 50% or 1/2 is I took the whole probability (100%) and divided it by 2. (2 sides on a coin)

I hope this helped (at least)

Answer: C

Step-by-step explanation:

It should be 5 x 3, considering that rows come before the columns.

True, is it possible for the results of a study to show a non-zero correlation, even though the correlation for the general population is zero.

When a correlation is statistically significant, it is a significant and strong correlation. Even a very slight association can be statistically significant with a very large sample size.

                   While the correlation for the entire population is zero, it is nevertheless feasible for a sample to have a true, non-zero correlation.

When there is no association in a correlational analysis, what happens?

The variables fluctuate in opposite directions when there is a negative correlation. There is no association between the variables if there is zero correlation.

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Answer:18 1/8

Step-by-step explanation:

5x3=15

5x5/8=25/8=3 1/8

15+3 1/8=18 1/8

Proof of ray BC is the angle bisector of angle ABA' is given.

Angle bisectors are lines that cut across the angle under consideration. The term "bisect" means to divide into two equal portions. The considered angle is therefore divided in half by the bisected halves.

A graph will move exactly to the other side of an axis, such as the x-axis, as if it were a mirror when it is reflected along that axis.

Because it is symmetrical, each point is as far from the axis of reflection as its mirror counterpart.

Triangle A'B'C' is a mirror of triangle ABC over line BC, as shown by the provided issue.

Therefore, <A'B'C' = <ABC

by virtue of congruent triangles' characteristics. Means that if the sides' lengths are equal, the angles' measures are equal, and they may be overlaid.

Therefore, the ray BC is the angle, bisector of angle ABA'.

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The value of a+b is 67.5+52.2=120.1 degree.

Which is the value of B?

The middle number, the one immediately following the x, is the b-value. A and C are also numerals, much as the letter B. These can all have any number. They all work together to show you how the quadratic function will be graphed. If you haven't used your y = mx + b equation in a while, dust it off and use the three values you were given for x, y, and m to solve for the b-value, which is the value of the y-intercept. The equation is then solved for the last variable: b, the y-value intercept's.

[tex]\begin{aligned}& 360-90=270 \\& 270-2=135 \\& 180-135=45 \\& \frac{45}{2}=22.5 \\& 90-22.5=67.5 \\& b=67.5^{\circ}\end{aligned}[/tex]

90 *67.8+a 110 =360

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Answer: B

Step-by-step explanation:

Answer: The answer is D. 2 | 0.25

Step-by-step explanation:

I don't really have a good explanation, but I hope it helps!

The glide reflection that maps ABC to A'B'C' is given as follows:

The glide reflection is a combination of a reflection with a translation.

The line of reflection passes through the midpoint of a pair of vertices, being perpendicular to the vertex.

The midpoint of segment A'B' is given as follows:

The slope of this segment is given as follows:

m = (-6 - (-2))/(6 - 4) = -1.

Then the slope of the reflection line is of:

m = 1.

(as the reflection line is perpendicular to the segment, meaning that the multiplication of their slopes is of -1).

Then:

y = x + b.

When x = 5, y = -4, then the intercept b is calculated as follows:

-4 = 5 + b

b = -9.

Thus the reflection line is of:

y = x - 9.

Then the translation is given subtracting the coordinates of one of the vertices, as follows:

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6/7

Step-by-step explanation:

1 - x = 1/7

- x = 1/7 - 1

- x = 1/7 - 7/7

- x = -6/7

x = -(-6/7)

x = 6/7

thus,

1 - 6/7 = 1/7

In 3 hour  Mr. Reed can presents 15 presentations.  The division equation and a multiplication equation are 3 ÷ 1/5 =15 and 3 × 5 = 15 respectively.

What is an equation of division?

Mathematical equations involving the division operator are referred to as division equations. An equals sign appears in a division equation in its entirety. The division operator and the numbers that are being divided will both be on one side. The other side displays the result of the division.

The 3 large rectangles represent the 3 hours.

Each presentation is 1/5 hour so each rectangle is divided into 5 equal sections.

From the model you can write the division equation: 3 ÷ 1/5 =15

You can also write the multiplication equation: 3 × 5 = 15

Both equations show 15 projects are presented in 2 hours.

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The value of x will be 1.17 inches and the maximum volume of the box is 1.6 cubic inches.

Volume is a measurement of three-dimensional space that is occupied. It is frequently numerically quantified using SI-derived units or various imperial or US customary units. The definition of length is linked to the definition of volume.

Given that the rectangular box is made from cardboard the thickness is x.

The length of the box will be,

L = 4.5 - 3x

The width of the box will be,

W = 4 - 2x

The thickness of the box is,

H = x

The volume of the box will be calculated as,

V = ( 4.5 - 3x) ( 4 - 2x ) (x)

V = ( 4.5 - 3x) ( 4 - 2x ) (x)

V = ( 18 - 12x - 9x + 6x² ) x

V = 6x³ -21x² + 18x

For maximum volume differentiate the volume with respect to x and get the value of x,

dV / dx = d / dx (  6x³ -21x² + 18x ) = 0

d / dx (  6x³ -21x² + 18x ) = 0

18x² - 42x + 12 = 0

3x² - 7x + 6 = 0

Solve the above quadratic equation as,

x = [ -b ±√(b² - 4ac) ] / 2a

x = [ -7 ± √ (-7² - 4 x 3 x 6 ) ] / ( 2 x 3 )

x = 1.17

The value of x is 1.17 inches by solving the above quadratic equation. The maximum volume will be calculated as,

V = 6x³ -21x² + 18x

V = 6(1.17)³ -21(1.17)² + 18(1.17)

V = 9.6 - 28.7 + 21.06

V = 1.96 cubic inches

The maximum volume is 1.96 cubic inches and the value of x is 1.17 inches.

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Y = 2*cos(3pi*x) + 5 is the cosine function with a midline of 5, an amplitude of 2, and a frequency of 3/2.

A crucial periodic function in trigonometry is the cosine function.

Utilizing the unit circle will make understanding the cosine function the simplest.

Draw a unit circle on the coordinate plane, center the angle at the origin, and label one side as the positive x-axis for the supplied angle measure.

The point where the other side of the angle intersects the circle has an x-coordinate of cos(), and a y-coordinate of sin().

According to our answer-

B = 2pi/T, where T is the period and T = 1/f is the frequency; T is the period

Determines horizontal phase shift by using

C =determines vertical shift.

When solving the given issue, D = midline = 5

A = amplitude = 2.

B = 2pi/T = 2pi/(2/3) = 3pi since frequency = 3/2 means that the period is T = 2/3, which is the reciprocal of the frequency.

C = 0.

The result of adding everything up is A = 2, B = 3pi, C = 0, and D = 5.

so,

A*cos(B(x-C)) + D = y

y = 2*cos(3pi(x-0)), plus 5.

y = cos(3pi*x) * 2 * + 5

Hence, Y = 2*cos(3pi*x) + 5 is the cosine function with a midline of 5, an amplitude of 2, and a frequency of 3/2.

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Answer:

4th one

Step-by-step explanation:

Hope that helps.

The equations of inequalities are y < 4 and y > x.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The line of the graph is not solid. The lines of the graph is dotted. Thus the inequality sign will be less than or greater than.

One graph line is parallel to x-axis and it intersect y axis at (0,4).

The equation of the line that is parallel to x-axis and it intersect y axis at (0,a), then the equation of the line is y = a

The equation of the line parallel to x-axis is y = 4.

The equation of line that passes through origin is y = mx

The line passes through the point (1,1).

Putting x = 1 and y = 1 in y = mx:

1 = m

Therefore the equations of lines are y = x and y = 4

The inequality will be y < x or y > x for the line  y = x.

The inequality will be y < 4 or y > 4 for the line  y = 4.

(-2,0) is a point on the shaded area.

Putting x = -2 and  y = 0 in y > x

0 > -2 true.

The inequality is y > x

Putting x = -2 and  y = 0 in y < 4

0 < 4  true.

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The coordinates of C are (8/7, 10/7) if point A is (-4, -2) and point B is

(8, 6)

The section formula aids in finding a point's coordinates so that the line connecting two points can be divided in a ratio. This involves both internal and external activities. P (x, y) = (c, m, plus a, plus n, plus d, plus b, plus n). The Section formula is used to determine the ratio by which a line segment is divided by a point either internally or externally in coordinate geometry. It is used to identify a triangle's centroid, incenter, and excenter. Physics uses this technique to determine equilibrium points, the centers of mass of systems, and other things.

A(-4, -2), B(8, 6)

m:n=3:4

((3(8)+4(-4))/(3+4) , ((3(6)+4(-2))/(3+4))

=((24-16)/7, (18-8)/7)

=(8/7, 10/7)

Therefore, the coordinates of C are (8/7, 10/7)

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The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

The regression equation is given as:

y = 0.138x + 1.166

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 20 + 1.166 = 3.93

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 16.7 + 1.166 = 3.47

y = 0.138 * 15.5 + 1.166 = 3.31

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 3.7 - 3.65 = 0.05

Residual = 3.69 - 4.19 = -0.5

Residual = 3.8 - 3.65= 0.15

Residual = 4 - 3.93 = 0.07

Residual = 4 - 3.65= 0.35

Residual = 1.11 - 1.26 = -0.15

Residual = 3.69 - 4.19 = -0.5

Residual = 1.11 - 1.26 = -0.15

Residual = 3.5 - 3.47 = 0.03

Residual = 3.92 - 3.31 = 0.61

Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

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Answer:

The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

How to determine the residuals?

The regression equation is given as:

y = 0.138x + 1.166

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 20 + 1.166 = 3.93

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 16.7 + 1.166 = 3.47

y = 0.138 * 15.5 + 1.166 = 3.31

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 3.7 - 3.65 = 0.05

Residual = 3.69 - 4.19 = -0.5

Residual = 3.8 - 3.65= 0.15

Residual = 4 - 3.93 = 0.07

Residual = 4 - 3.65= 0.35

Residual = 1.11 - 1.26 = -0.15

Residual = 3.69 - 4.19 = -0.5

Residual = 1.11 - 1.26 = -0.15

Residual = 3.5 - 3.47 = 0.03

Residual = 3.92 - 3.31 = 0.61

Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

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Step-by-step explanation:

First, state the null and alternate hypothesis for the hypothesis test

H0:p=0.52

Ha:p≠0.52

z=pˆ−p/√p(1−p)/n

z= pˆ−p divided by the square root of p(1−p) divided by the sample (n)

z= 0.49^-0.52/ √0.52 ( 1- 0.52) / 340 = -2.24

z=-2.24

When using rejection regions, we reject the null hypothesis, H0, if:

z<−zα for a left-tailed test

z>zα for a right-tailed test

|z|>zα/2 for a two-tailed test

Thus the decision rule is: Reject the null hypothesis, H0, if |z|>2.33.

Since the absolute value of the z test statistic, 2.24, is less than the critical value, 2.33, we fail to reject the null hypothesis.

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Answer:

None of these

Step-by-step explanation:

[tex]\frac{1}{4}+\frac{1}{2} \cdot \frac{4}{7}=\frac{1}{4}+\frac{4}{14}=\frac{1}{4}+\frac{2}{7}=\frac{7+8}{28}=\frac{15}{28}[/tex]

Answer:

24

Step-by-step explanation:

The standard form of the expression is [tex]0.000286 \times 10^a[/tex].

What is a standard form?

A standard form is a document that contains predetermined information in a specific format, such as a contract or agreement. Standard forms are often used to ensure uniformity and efficiency among different parties. Standard forms may include a variety of information, including contact details, payment information, and other important details related to a transaction. By utilizing a standard form, individuals and organizations are able to save time and effort when completing administrative tasks. Standard forms can also be used to ensure that all parties involved in a transaction are aware of the terms and conditions.

The given expression is

              [tex]=(1.2 \times 10^2) \times \frac{(2 \times 10^a)}{3} \times 10^{-5}\\\\=129 \times\frac{2}{3}\times\frac{10^a}{3}\times0.00001\\\\=0.000286 \times 10^a[/tex]

Hence, the standard form of the expression is [tex]0.000286 \times 10^a[/tex].

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Answer:

Mabel will use scale factor of 20 to enlarge the design.

{ If you do need explanation, Please inform me.}

The maximum width Casket that will fit in a standard vault is 28 inches.

Standard measurements may vary significantly depending on the manufacturer.

Caskets normally measure 84 inches long, 28 inches broad, and 23 inches tall. Both wood and metal caskets often have the same proportions. Caskets are intended to fit into normal burial sites, which are generally 30-inches wide and may accommodate ordinary caskets as well as enlarged caskets of 28-inch and 29-inch dimensions.

Casket inside dimensions vary significantly; the metal caskets are typically 78 or 79 inches long and 23 or 24 inches broad.

A typical size casket/coffin is enough for the most majority of individuals. Standard caskets can typically (but not always) fit people up to 6'5" and 350 pounds, but we strongly advise you to speak with your funeral director to determine the precise casket size you require.

The maximum width Casket that will fit in a standard vault is 28 inches.

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Answer:

x=-1 3/8

Step-by-step explanation:

-2.25 + 0.4x = -2.8

-2.25 + 2.25 + 0.4x = -2.8 + 2.25  ==> add 2.25 on both sides to isolate x

0.4x = -0.55

(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals

8x = -11

x=-11/8

x=-(3+8)/8  ==> turn x into a mixed number

x=-3/8 - 8/8

x=-3/8 - 1 ==> simplify

x=-1 - 3/8

x=-(1 + 3/8)

x=-1 3/8

Answer: B

Step-by-step explanation:

vertical angles are =

According to Euclidean geometry, the geometric system consisting in isosceles triangle has an angle x whose measure is equal to 74°.

In this problem we find a geometric system consisting in a triangle, where two sides are congruent and the measure of an angle equals 74°.

According to Euclidean geometry, a triangle represented by the geometric system, with such features represents an isosceles triangle, that is, a triangle with two congruent sides and two congruent angles between the base side and each of the two congruent sides. Thus:

m ∠ x = 74°

x = 74°

Therefore, the measure of angle x, opposite to the angle whose measure is 74°, must be also equal to 74°.

The measure of angle x associated with the geometric system consisting in an isosceles triangle is equal to 74°.

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