Give me an example of an event that has a 2/5 chance of occuring.

Based on the fact that the dice will be thrown once, the number of times the dice will land on 4 is 1/6 times.

The number of times the dice will land on 6 is 1/6 times.

The number of times that the dice will land on 4 is:
= Number of 4s on dice / Number of numbers on dice

= 1 / 6

= 1/6 times

The number of times the dice will likewise land on 6:
= Number of 4s on dice / Number of numbers on dice

= 1/6 times

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Answer:

790

Step-by-step explanation:

7098uuilu4645

Answer:

Small: 7

Large:13

Step-by-step explanation:

I worked it out, hope this helps

Answer:

Answer:

Small: 7

Large:13

Step-by-step explanation:

I worked it out, hope this helps

The statement "That does not extend in both directions." will make the definition, precise.

Kevin's definition of line segment is correct.

However, the end points in a line segment implies that the line segment does not extend past its two end points.

To make it precise

Kevin needs to include that the line segment does not extend in both directions, in the definition.

Hence, option (c) is correct.

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The side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.

Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.

Let's analyze the angles:

Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.

Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.

Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.

Based on these observations, we can order the side lengths from least to greatest as follows:

IK < KL < IJ < IL < LJ

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Answer:

1 13/20 miles

Step-by-step explanation:

3.9-2.25=1.65

1.65=33/20

The function is written as: The function \(p(x) = 50 \times 2^x\)

To model the situation where a species of bacteria in a laboratory culture begins with 50 cells and doubles in number every 30 minutes, we can use the formula for exponential growth:

\(f(x) = \text{initial number of cells} \times 2^{\text{(x/number of time periods for doubling)}}\)

Here, the initial number of cells is 50, and the number of time periods for doubling is 1, since the bacteria doubles in number every 30 minutes. Therefore, the function to model this situation is:

\(f(x) = 50 \times 2^{(x/1 )} = 50 \times 2^x\)

So, if x is the number of 30-minute time periods, then f(x) gives us the number of cells in the culture after x time periods.

The rate of acceleration of the skateboarder is 2m/s²

Acceleration can be described as the speed of an object during a period of time

The formula is

v= u + at

v= 40m/s

u= 10m/s

time= 15 seconds

40 = 10 + 15a

40-10= 15a

30= 15a

a= 30/15

a= 2

Hence the rate of acceleration of the skateboarder is 2m/s²

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The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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The fact that multiple number of models of abnormality exist is caused by cultural and social values, cognitive bias, biological factors and limited research. Therefore, the answer is B. Cognitive bias.

The fact that multiple number of models of abnormality exist is caused by a variety of factors. Cultural and social values play a key role in influencing how mental health is viewed and understood. Biological factors, such as genetic predispositions and changes in the brain, can also contribute to psychological distress. Limited research on the subject has led to many different models of abnormality being developed, each with its own unique set of criteria for diagnosing mental health disorders. However, cognitive bias, or the tendency to think of certain behaviors and thoughts as abnormal, is not a major cause of the existence of multiple models of abnormality.

the complete question is :

according to the text, the fact that multiple models of abnormality exist is caused by all of these except:

A. Cultural and social values

B. Cognitive bias

C. Biological factors

D. Limited research

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Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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Answer:

2/5 of income put into savings

Step-by-step explanation:

Let Kory's income be X

1/3 of his income goes to taxes so taxes are X/3

Remaining is (1-  2/3) of income = (2/3 ) X

He spends 4/5 of this remaining amount

So balance after expenditure = (1- 4/5) = 1/5 of the remaining income and this amount is put into savings

Fraction of income in savings = 1/5 x 2/3 X = (2/15)X

So fraction put into savings account is 1/5 of total income

If you find it confusing to work with fractions such as these, I suggest an alternate approach which may make it easier to understand

Pick an amount for total income. Since the denominators are 3 and 5, choose an amount which is divisible by both 3 and 5 or in other words divisible by 15

Let's choose 300, a convenient number

Tax Paid = 1/3 x 300 = 100

Income after tax = 300 - 100 = 200
which is same as 2/3 x 300

Spending = 4/5 x 200 = 160

Balance in savings = 200 - 160 = 40 same as 1/5 x 200

So amount in savings as a fraction of income = 40/300 = 2/15

Answer:

a) x= 29, y= 87

b) x= 19, y= 45

Step-by-step explanation:

Q5. a) Let the first number be x and the second number be y.

The sum of 2 integers is 116.

x +y= 116 -----(1)

The second number is three times the first number.

y= 3x -----(2)

Substitute (2) into (1):

x +3x= 116

4x= 116

x= 116 ÷4

x= 29

Substitute x= 29 into (2):

y= 3(29)

y= 87

b) Let the smaller number be x and the larger number be y.

x +y= 64 -----(1)

y -x= 26 -----(2)

Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.

From (1):

x= 64 -y -----(3)

Substitute (3) into (2):

y -(64 -y)= 26

y -64 +y= 26 (expand bracket)

2y= 26 +64 (simplify, +64 on both sides)

2y= 90

y= 90 ÷2

y= 45

Substitute y= 45 into (3):

x= 64 -45

x= 19

Answer:Uswi

Step-by-step explanation:

Usisisiisisssjsjjzzjhsajasushshshshshshshshshhshshsshhshashshshsu nshshsyshshshysysywhwuzusjzuzhs uusahjasks.usuajamz

The system is inconsistent and has no solution. Therefore, the answer is "inconsistent".Since the last row is of the form [0 0 0 | b], where b is nonzero (b=7

To determine whether the system of equations represented by the given matrix has a solution, we can use row operations to put the matrix into reduced row echelon form. If the resulting matrix has a row of the form [0 0 ... 0 | b], where b is nonzero, then the system is inconsistent and has no solution. If there are any free variables in the reduced row echelon form, then the system has infinitely many solutions and is dependent. If there are no free variables and no rows of the form [0 0 ... 0 | b], then the system has a unique solution and is independent.

Using row operations, we can put the given matrix into reduced row echelon form as follows:

\([1 -3 1 4 | 4] (R1)[3 2 1 | 3] (R2)[-6 -4 -2 | 1] (R3)\)

(\(R2 - 3*R1) - > R2:\)

\([1 -3 1 4 | 4] (R1)[0 11 -2 |-9] (R2)[-6 -4 -2 | 1] (R3)(R3 + 6*R1) - > R3:[1 -3 1 4 | 4] (R1)[0 11 -2 |-9] (R2)[0 -22 4 | 25] (R3)(R3 + 2*R2) - > R3:[1 -3 1 4 | 4] (R1)[0 11 -2 |-9] (R2)[0 0 0 | 7] (R3)\)

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Answer:

\( \cos (u + v) = -\dfrac{56}{65} \)

Good job!

Step-by-step explanation:

\( \cos (u + v) = \cos u \cos v - \sin u \sin v \)

\( \sin u = -\dfrac{3}{5} \); u is in QIII.

That makes \( \cos u = -\dfrac{4}{5} \)

\( \sin v = -\dfrac{12}{13} \); v is in QIV.

That makes \( \cos v = \dfrac{5}{13} \)

\( \cos (u + v) = (-\dfrac{4}{5})(\dfrac{5}{13}) - (-\dfrac{3}{5})(-\dfrac{12}{13}) \)

\( \cos (u + v) = -\dfrac{20}{65} - \dfrac{36}{65} \)

\( \cos (u + v) = -\dfrac{56}{65} \)

You are correct.

Answer:

Step-by-step explanation:

-0.8615

The surface area of the prism is 744 cm², the volume of the prism is 624 cm³.

Given:

- Height of the regular quadrilateral prism (h) = 13 cm

- Lateral area of the prism (AL) = 624 cm²

1. Surface Area:

To find the surface area, we need to calculate the area of the two bases and the lateral area of the prism.

The area of each base can be found by dividing the lateral area by the height: A = AL / h = 624 cm² / 13 cm = 48 cm².

Since there are two identical bases, the total base area is 2 times the area of one base, so the total base area is 2 * 48 cm² = 96 cm².

To calculate the surface area, we add the area of the two bases to the lateral area: Surface Area = 2A + AL = 2 * 48 cm² + 624 cm² = 120 cm² + 624 cm² = 744 cm².

Therefore, the surface area of the prism is 744 cm².

2. Volume:

The volume of the prism can be found by multiplying the base area by the height: Volume = A * h = 48 cm² * 13 cm = 624 cm³.

Therefore, the volume of the prism is 624 cm³.

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Answer:

m<N = 32°

Step-by-step explanation:

<N is an inscribed angle.

Arc MP is it's intercepted arc

Thus,

m<N = ½(arc MP) => Inscribed angle theorems

Arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

Restando la cantidad utilizada de el total, tiene-se que 7470 clavos le quedan.

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

\(7943 - 473 = 7470\)

Le quedan 7470 clavos.

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Answer:

Confusing! Where r the instructions?

Step-by-step explanation:

Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

Answer:its (-2,1), (-6,-15)

Step-by-step explanation:

Answer:

9/64

Step-by-step explanation:

\(=0.75\times \frac{\left(3.75+-3.5\right)}{1.3}\\0.75\times \frac{\left(3.75+-3.5\right)}{1.3}\\=0.75\times \frac{0.25}{1.3}\\=0.75\times 0.1875(\left a.k.a\:\frac{3}{16}\right)\\\frac{\left(3\times 0.1875\right)}{4}\\\mathrm{\left(Clarification:\:The\:\:math\:\:above\:\:is\:\:a\:\:broken\:\:down\:version\:of\:the\:original\:problem.\right)}\\=\frac{0.5625\left(\frac{9}{16}\right) }{4}\\=0.1406\left(\frac{9}{64}\right)\)

Hope this helps!

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

The inequality that describes the problem is C. 8x ≤ 16

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:

8x ≤ 16

The correct option is C.

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Answer:

1035.75

Step-by-step explanation:

Answer:

your answer is 168 adult tickets

Step-by-step explanation:

Just got 100 on edge

Step-by-step explanation:

Morning is 4 hr 15 min

afternoon is 4 hour 15 min

together is 8 hour 30 min

8.5*14 = 119 dollars

According to the unitary method, the wage of the weekly time for the employee is written as $119.00

To calculate the hours worked on Monday, we need to consider both the morning and afternoon shifts. For the morning shift, the employee clocked in at 08:00 AM and clocked out at 12:15 PM. The total time worked in the morning is 4 hours and 15 minutes (12:15 - 08:00).

Similarly, for the afternoon shift, the employee clocked in at 01:00 PM and clocked out at 05:15 PM. The total time worked in the afternoon is 4 hours and 15 minutes (05:15 - 01:00).

Adding both morning and afternoon hours, the total hours worked on Monday is

(4 hours 15 minutes + 4 hours 15 minutes) = 8 hours and 30 minutes

To perform the calculation, we need to convert the minutes to decimal hours. There are 60 minutes in an hour, so we divide the minutes by 60 to get the decimal representation. In this case, 30 minutes is equal to 0.5 hours.

Now that we have the total hours worked on Monday, we can calculate the pay. We multiply the total hours worked by the hourly wage. In this case, the hourly wage is $14/hr.

So, the pay for Monday would be:

Pay = Total hours worked x Hourly wage

Pay = 8.5 hours x $14/hr = $119.00

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The ratio of the areas of the two circles equals the square of the ratio of their radii:  = 1/4

Let O1 be the center of the larger circle and O2 be the center of the smaller circle. T is the tangent point between the two circles.

The distance between their centers, O1O2, is equal to the sum of their radii, i.e., r1 + r2.

The Pythagorean theorem gives us:

(O1O2)^2 = r1^2 + r2^2

By substituting r1, r2, and O1O2 values, we obtain:

(r1 + r2)^2 = r1^2 + r2^2

By broadening and simplifying, we get:

2r1r2 = r2^2

When both sides are divided by r22, we get:

2r1/r2 = 1

So, r1/r2 = 1/2. r2 = 2r1.

The ratio of the areas of the two circles equals the square of the ratio of their radii:

A1/A2 = (r1/r2)^2 = 1/4

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Answer:

a = 57 mm is the answer.

Step-by-step explanation:

a = ?

b = 76 mm

c = 95 mm

According to the Pythagoras theorem,

a² + b² = c²

a² + 76² = 95²

a² + 5776 = 9025

a² = 9025 - 5776

a² = 3249

a = 57 mm

∴ a = 57 mm is the length of the missing leg.

Answer:

57 mm

Step-by-step explanation:

To solve for a, we can use the Pythagorean Theorem.

a² + b² = c²

We have to solve for a, and we are given values for b and c, c being the hypotenuse.

This is what we know-

a² + 76² = 95²

We can simplify this to-

a² + 5776 = 9025

To solve for a, we have to isolate the variable on on side of the equals sign. So, we can subtract 5776 from both sides.

a² + 5776 - 5776 = 9025 - 5776

Simplify.

a² = 3249

Finally, to solve for a, find the square root of a².

\(\sqrt{3249^{2}\) = 57

So, a = 57 mm

I hope this is helpful :) Good luck ^^