Which answer choice shows the correct classification(s) of the number- 15/3
?

HINT: Simplify the number first. Remember that the fraction bar represents division.

whole, integer, rational
integer, rational
integer
rational

The probability models that represents a probability of winning of 1/6 are given as follows:

A) a fair six-sided number cube.

D) a spinner with 6 equal sections.

E) a bag of 12 black chips and 60 red chips.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

For this problem, we want a probability of 1/6 of winning each trial, hence the events are given as follows:

A) a fair six-sided number cube. -> One out of the six numbers is equivalent to winning.

D) a spinner with 6 equal sections. -> One out of the six regions is equivalent to winning.

E) a bag of 12 black chips and 60 red chips. -> 12/(12 + 60) = 12/72 = 1/6.

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14. The length of AB for the given right-angled triangle is [tex]$24{\sqrt{2}}$[/tex].

15. The value of base GF is √247 or 15.716234

The ideas of angles, right triangles, and the trigonometric functions of sine, cosine, and tangent are used in trigonometry to calculate heights and distances.

It is possible to determine the height of an object or the distance between two objects by measuring the angle of elevation or depression between the observer's line of sight and the object being observed and the distance between them. These ideas are frequently applied in the engineering, navigation, and surveying industries.

14. In a right-angled triangle, if one angle is 45 degrees, then the other acute angle is also 45 degrees and hence,

Let AB = x

Using the trigonometric ratio for the 45 degree angle in the triangle:

tan(45) = opposite/adjacent

We know that the opposite side is BC = [tex]$24{\sqrt{2}}$[/tex] and the adjacent side is AB = x.

tan(45) = BC/AB

1 = [tex]$24{\sqrt{2}}/x$[/tex]

x = [tex]$24{\sqrt{2}}$[/tex]

15. Using Pythagoras theorem:

HF² = HG² + GF²

16² = 3² + GF²

GF² = 16² - 3²

GF² = 256 − 9

GF² = 247

GF = √247

GF = 15.716234

Thus, The value of base GF is √247 or 15.716234

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The values of A, B, and C are 30, 50, and 20, respectively.

What is the sum?

The sum is the result of adding two or more numbers together. The sum is found by performing the operation of addition, which involves combining the values of two or more quantities to find the total or the sum.

If A = 80 - B and C = 70 - B, and the sum of A, B, and C is 100, then we can write:

A + B + C = 100

Substituting A and C with their given values, we get:

(80 - B) + B + (70 - B) = 100

Simplifying and combining like terms, we get:

150 - B = 100

Subtracting 150 from both sides, we get:

-B = -50

Dividing both sides by -1, we get:

B = 50

Now that we know B = 50, we can substitute this value back into the equations for A and C:

A = 80 - B = 80 - 50 = 30

C = 70 - B = 70 - 50 = 20

Therefore, the values of A, B, and C are 30, 50, and 20, respectively.

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Answer:

false

Step-by-step explanation:

if there r more men working then it will take less time to finish the same work not more

By set theοry the number οf students whο οffer οnly English is 12.

In mathematics Set theοry  studies with sets, which can be infοrmally described as cοllectiοns οf οbjects.  Objects οf any kind can be cοllected intο a set, set theοry, as a branch οf mathematics, is mοstly cοncerned with  that which are relevant tο mathematics as a whοle.

Given that,

A survey οf eighty students at a certain cοllege reveals that

36 takes English

32 take histοry

32 take pοlitical science

16 takes pοlitical science and histοry

16 takes histοry and English

14 takes pοlitical science and English

6 takes all three

Sο n(s)=80 [ Since the number οf students is 80]

The number οf students whο takes English is denοted by n(E)=36

The number οf students whο takes Histοry is denοted by n(H)=32

The number οf students whο takes Pοlitical Science is denοted by n(P)=32

By set theοry

The number οf students whο takes Pοlitical Science and Histοry is denοted by n(P∩H)=16

The number οf students whο takes English and Histοry is denοted by n(E∩H)=16

The number οf students whο takes Pοlitical Science and English is denοted by n(P∩E)=14

The number οf students whο takes Pοlitical Science, English and Histοry is denοted by n(P∩E∩H)=6

Frοm set theοry ,

n(P∪E∪H) = n(E)+n(H)+n(P)- n(P∩H)-n(H∩E)-n(P∩E)+n(P∩E∩H)

                 = 36+32+32-16-16-14+6

                 = 60

Sο the number οf students whο take nοne οf the subjects is (80-60)=20

Hence the number οf students whο οffer οnly English is 12.

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Answer:

Step-by-step explanation:

The height of the building is 160 ft

Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios.

Types of  proportion :

Direct Proportion

Inverse Proportion

Continued Proportion

Comparing the heights and shadows using ratio proportions

Sam Height = 8 ft

Sam Shadow = 10 ft

Building Height = x ft

Building Shadow = 200 ft

Sam Height/Sam Shadow = Building Height/Building Shadow

AB/BC = PQ/QR

8/10 = x/200

8*200 = 10*x

1600/10 = x

x = 160 ft

The height of the building is 160 ft

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The correct graph is Option D - the bottom left graph.

Given function is f(x)=ceil(x+1)

To plot graph of f(x) in interval of(-3,3) :

ceil(x+1) is ceiling function

The output of ceil(x) is least integer greater than x

for example ceil(5.5)=6

For an interval of (-3,-2):

Take x=(-2.4)

x+1=(-1.4)

y=f(x)=ceil(x+1)=(-1)

Similarly,

For an interval of (-2,-1):

Take x=(-1.4)

x+1=(-0.4)

y=f(x)=ceil(x+1)=(0)

For an interval of (-1,0)

y=f(x)=1

For an interval of (0,1)

y=f(x)=2

For an interval of (1,2)

y=f(x)=3

For an interval of (2,3)

y=f(x)=4

Thus, The correct graph is the bottom left graph.

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To find the length of AC, we can use the Pythagorean theorem, which states that in a right triangle. the length of AC is approximately  [tex]29.8 mm[/tex].

the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we can use AC as the hypotenuse, so:

[tex]AC^2 = AB^2 + BC^2[/tex]

[tex]AC^2 = (14.7 mm)^2 + (25.9 mm)^2[/tex]

[tex]AC^2 = 216.09 mm^2 + 671.61 mm^2[/tex]

[tex]AC^2 = 887.7 mm^2[/tex]

Taking the square root of both sides, we get:

[tex]AC = \sqrt887.7 mm[/tex]

[tex]AC \approx 29.8 mm[/tex] (rounded to 1 decimal place)

Therefore, the length of AC is approximately  [tex]29.8 mm[/tex].

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Answer:

Step-by-step explanation:

[tex]\mathrm{2\left(x+3\right)=18}[/tex]

Divide both sides by 2:-

[tex]\mathrm{\cfrac{2\left(x+3\right)}{2}=\cfrac{18}{2}}[/tex]

Simplify:-

[tex]\mathrm{x+3=\cfrac{18}{2} }[/tex]

[tex]\mathrm{x+3=9}[/tex]

Subtract 3 from both sides:-

[tex]\mathrm{x+3-3=9-3}[/tex]

[tex]\mathrm{x=6}[/tex]

_____________________

Hope this helps!

The fraction shows that can d holds 1/2 of the amount can c holds.

Can c holds 1/5 of the amount can a holds.

Can d holds 1/6 of the amount can b holds.

Can b holds 1/5 of the amount can a holds.

Can d holds 1/2 of the amount can c holds. This is because can d holds 3 litres and can c holds 6 litres, so if you divide the volume of can d (3 litres) by the volume of can c (6 litres), you get 3/6 or 1/2.

Can c holds 1/5 of the amount can a holds. Can c holds 6 litres and can a holds 30 litres, so if you divide the volume of can c (6 litres) by the volume of can a (30 litres), you get 6/30 or 1/5.

Can d holds 1/6 of the amount can b holds: This is because can d holds 3 litres and can b holds 18 litres, so if you divide the volume of can d (3 litres) by the volume of can b (18 litres), you get 3/18 or 1/6.

Can b holds 1/5 of the amount can a holds: This is because can b holds 18 litres and can a holds 30 litres, so if you divide the volume of can b (18 litres) by the volume of can a (30 litres), you get 18/30 which can be simplified as 3/5 or 1/5.

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After answering the presented question, we can conclude that As an expression result, there are 24 4-letter code symbols that may be constructed without duplication using the letters P, D, Q, and X.

what is expression ?

An expression in mathematics is a collection of representations, digits, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the representation of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

We may use the method for permutations of n items taken r at a time to compute the number of 4-letter code symbols that can be created with the letters P, D, Q, X without repetition:

n! / (n-r)! P(n,r) = n!

where n denotes the number of items (in this example, four letters) and r the number of things taken at once (in this case, 4).

Thus far, we have:

P(4,4) = 4! / (4-4)! = 4! / 0! = 4 x 3 x 2 x 1 / 1 = 24

Hence, As a result, there are 24 4-letter code symbols that may be constructed without duplication using the letters P, D, Q, and X.

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Complete question:

How many 4-letter code symbols can be formed with the letters P, D, Q, and X without repetition?

Answer:

52 inches

Step-by-step explanation:

1 foot=12 inches

4(12)=48 inches

Then you add the other 4 inches.

48+4=52

52 inches

A standard normal distribution table or a calculator again, we can find that the z-score that corresponds to this area is approximately 0.42.

The standard normal distribution is useful because it allows us to calculate probabilities for any normal distribution by converting the distribution to a standard normal distribution using a process called standardization. Standardization involves subtracting the mean of the distribution from each observation and then dividing by the standard deviation. The resulting values are called z-scores, and they represent the number of standard deviations that an observation is from the mean of the distribution.

Assuming a standard normal distribution, we know that 0.5 of the area lies between -z and z, since the normal distribution is symmetric around the mean. Therefore, we need to find the value of z such that the area between -z and z is 0.6318 - 0.5 = 0.1318.

Using a standard normal distribution table or a calculator, we can find that the area between the mean and z is 0.5 + 0.1318/2 = 0.5659. Therefore, the z-score that corresponds to this area is approximately 0.18.

Since the distribution is symmetric, the area between -z and z is twice the area between the mean and z, so we can solve for z:

0.1318/2 = 0.0659 of the area lies between the mean and z

Using a standard normal distribution table or a calculator again, we can find that the z-score that corresponds to this area is approximately 0.42.

Therefore, z = 0.42 rounded to two decimal places.

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Answer: 3.53

Step-by-step

Answer:

-3x+7 < -5

Step-by-step explanation:

Lets set x as the number of hours since the time it was 7 degrees.

This means that the expression 7-3x would represent the temperature after x hours.

To find the inequality that represents when it would be below -5 degrees, we just set this less than -5:

-5 > 7-3x.

If you want, you can also rearrange this to -3x+7 < -5.

Answer:

4 hours

Step-by-step explanation:

Inequality:

[tex]7-3x < -5[/tex]

[tex]7-7-3x < -5-7[/tex]

[tex]-3x < -12[/tex]

[tex]\frac{-3x}{-3} < \frac{-12}{-3}[/tex]

[tex]x > 4[/tex]

Hope this helps

disjunctive syllogism = p v q, ~ p / q

example: he wants to be on either the football or wrestling team. he's not on the wrestling team. therefore, he's on the football team.

Here no figure just go through the definition.

A polygon is a two-dimensional geometric shape that is defined as a closed figure with straight sides. It is made up of line segments that connect at endpoints called vertices. The term polygon comes from the Greek words "poly" meaning many and "gonia" meaning angle, indicating that polygons have many angles.

Polygons can have different numbers of sides, with the most basic being a triangle, which has three sides and three angles. Other examples of polygons include squares, rectangles, pentagons, hexagons, and octagons. The sides of a polygon do not have to be equal in length or the angles between them do not have to be the same, but they must be straight lines and the polygon must be closed.

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After responding to the prompt, we can deduce that in order to circle and finish the copied triangle, a polygon should be drawn through the coordinates D, E, and F.

The definition of a polygon, a two-dimensional geometric form, is a closed figure with straight sides. It consists of line segments joined at ends known as vertices. The word "polygon," which means "many angles," is derived from the Greek terms "poly," which means "many," and "gonia," which means "angle."

A triangle is the most basic polygon because it has three edges and three angles. Polygons can have various amounts of sides. Squares, rectangles, pentagons, hexagons, and octagons are additional instances of polygons. In order for a polygon to be considered closed, all of its sides must be straight lines, regardless of whether their lengths or angles are equivalent.

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Solution,

CP for rajan=180 rs

Sp for rajan=(20%+1)×180

=216

Cp for niranjan=216

And, Sp=.8×216

=172.8

Cp for niranjan=172.8

For 5% profit,

Sp for Niranjan=(5%+1)×172.8

=181.44

Hence, for Niranjan to gain 5% profit, he must sell it for 181.44 rs

Answer - 181.44

Explanation - For Rajan,

Cost Price = Rs 180

Profit Percent = 20%

Profit Percent = (S.P - C.P/C.P)*100

20 = (S.P - 180/180) *100

S.P = Rs 216

For Sajan,

C.P = Rs 216

Loss Percent= 20%

Loss = (C.P - S.P/C.P)*100

20 = (216-S.P/216)*100

S.P = Rs 172.8

For Niranjan to Sell Book and get 5% profit,

C.P = Rs 172.8

Profit Percent = (S.P - C.P/C.P)*100

5 = (S.P-172.8/172.8)*100

S.P = 181.44

The quadratic regression function f(x) = -0.1536x² + 3.3915x + 88.738, then estimate value for the number of people in the park when there are 80 birds is equals to the 24.

A quadratic regression is the process of finding the equation of the parabola that best fits a set of data. An equation of the form, y = ax² + bx + c where a≠0. We have a quadratic regression function is defined by f(x) = -0.1536x² + 3.3915x +88.738 --(1), where, f(x) = the number of birds in a park relative to the number of people x in the same park. We have to determine quadratic regression to estimate the number of people in the park when there are 80 birds. Now, f(x) = 80, substitute the known value in equation (1),

=> 80 = -0.1536x² + 3.3915x +88.738

=>0.1536x²- 3.3915x -88.738 + 80 = 0

=> 0.1536x²- 3.3915x - 8.738 = 0

=> x² - 22.08x - 56.88 = 0 --(2)

Using the quadratic formula for solution of (2), x = (-b ±√b² - 4ac)/2a, for ax² + bx + c = 0. So, [tex]x =\frac{ -(-22.08) ± \sqrt{(22.08)² + 4× 56.88}}{2}[/tex]

=> x = 24.41 or - 2.3331

but number of people can't be negative hence, the required value is 24.41 ~ 24.

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Answer:

-8

Step-by-step explanation:

f(3) = -4(3) + 4 = -12 + 4 = -8

Answer:

Step-by-step explanation:

[tex]\boxed{\sf f(x) = -4x + 4 \;\: when \;\; x=3}[/tex]

For f(x) -4x+4 substitute x with 3:-

[tex]\sf f\left(3\right)\:=\:-4(3)\:+\:4[/tex]

[tex]\sf f\left(3\right)\:=\:-4\times 3\:+\:4[/tex]

[tex]\sf f(3)=-12+4[/tex]

[tex]\sf f(3)=-8[/tex]

Therefore, f(x) = -8.

______________________

Hope this helps!

Answer:

dont understand 14+14=π

Answer: It will take him 6 hours

Step-by-step explanation: 4 lawns = 120 min

                                              1 lawn = 30 min

                                                12 lawn = 360 min = 6 hours

To mow 12 lawns, the student will spend 6 hours.

To predict the time the student will spend mowing 12 lawns, we can use the information given in the question. The student takes 120 minutes to mow 4 lawns. We can calculate the time the student will take to mow 1 lawn by dividing 120 minutes by 4, which equals 30 minutes per lawn. Since the student has 12 lawns to mow, we multiply 30 minutes by 12 to get the total time. The student will spend 360 minutes, or 6 hours, mowing 12 lawns.

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The length of FG is equal to the length of F'G'.

The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.

The properties of a translated shape are the shape and size of the translated shape are the same as that of the original shape. The orientation of the translated shape is the same as that of the original shape. The distance between the corresponding points of the translated shape and the original shape is constant.

The area and perimeter of the translated shape are the same as that of the original shape. The interior angles of the translated shape are the same as that of the original shape. The coordinates of the vertices of the translated shape are obtained by adding a constant value to the corresponding coordinates of the vertices of the original shape.

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Image transcribed:

Pentagon CDEFG is translated 7 units up and 5 units left, resulting in pentagon C'D'E'F'G' (not shown).

Part A

Select from the drop-down menu to correctly complete this sentence:

The length of FG is ___ the length of  F'G'.

Part B

The perimeter of pentagon CDEFG is ____ the perimeter of pentagon C'D'EF'G.

Answer:

152 in²

Step-by-step explanation:

Area of rectangle = L x W

1st rectangle area

10 x 8 = 80 in²

2nd rectangle area

Length = 20 - 8 = 12 in

12 x 6 = 72 in²

Total area

80 + 72 = 152 sq. in

So, the answer is 152 in²

Answer: 36 m^2

Step-by-step explanation: I got it correct trust btw can i get brsainliest

Answer:

Step-by-step explanation:

[tex]y=\frac{1}{2} x+2[/tex]

[tex]y=(x-h)^2+k[/tex]

[tex]y=(x+3)^2-2=x^2+6x+7[/tex]