a tutor works with a group of students. the tutor charges 40 +30 for each student in the group. Today the tutor has s students and charges a total of $220.

The calculated value of the probability of B is (c) 0.25

From the question, we have the following parameters that can be used in our computation:

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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Answer:

To add fractions, find the LCD and then combine.

Exact Form:

-7/15

Decimal Form:

−0.46

Answer:

8

Step-by-step explanation:

just do the comparation

Vb : Vs

b for big and s for small

4/3 π rb³ : 4/3 π rs³ (since there are 4/3 and π on both side, we can eliminate them so)

Vb : Vs = rb³ : rs³

Vb : Vs = (2rs)³ : rs³

Vb : Vs = 8rs³ : rs³ (delete the r³ on both side)

Vb : Vs = 8 : 1

so Vb is 8 times larger in volume than the small one

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

k(2,1) please mark me brainliest

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

\(\large\huge\green{\sf{Answer:-}}\)

Answer:

\(\huge\boxed{\sf -4}\)

Step-by-step explanation:

The given polynomial is:

4y - 13 - 5z - 4x

Coefficient:

The term/number (along with the sign) with that certain variable is called coefficient.

x has the coefficient of :

-4 (number along with x)

\(\rule[225]{225}{2}\)

Hope this helped!

Answer: Gender = categorical ; Age = quantitative ; Household income = quantitative ; Automobile preference = Categorical

Step-by-step explanation:

Distinction between quantitative and categorical variables are based made on whether the variables are represented with a numeric or non-numeric value. Categorical variables usually takes in strings such as in the scenario above, the appropriate input for gender will be either 'Male' or 'Female' and Automobile preference will be a string of the type of automobile which the user prefers. On the other hand, quantitative variables will accept numeric values such as age and household income.

Answer:

\(\frac{3}{1} x \frac{5}{6} = \frac{15}{6} = 2\frac{3}{6} = 2\frac{1}{2}\)

You turn the whole number into a fraction by putting the dominator as 1 and numerator as 3. Multiple 3 and 5 so straight across.

Answer:

1. This question seems to already have the answer. The radius of the circle is the distance from the center of the circle to any point on the circle.

2. $65.91

3. 36.04cm

Step-by-step explanation:

2. First, you neeed to solve for the circumference of the circle to determine how much fencing you will need. To do this, use the formula C=2πr and insert the given radius of 3.8 into the equation.

C = 2 * pi * 3.8

C = 23.88

Then, to find the total cost, multiply the circumference by the price per meter of fencing.

23.88 * 2.76 = 65.91

3. First, you have to find the total area of the circle so you can work backwards to find the diameter. To do this, since there are 12 slices, multiply the area of each slice by 12.

85 * 12 = 1020

So 1020 is the area of the circle. The formula to find the area of a circle is A = πr^2. So we need to use that equation to find the radius, so we can double it to get the diameter.

We know the area is 1020 so we set that to A.

1020 = pi(r^2)

Divide both sides by pi.

1020/pi = r^2

Then square root both sides.

sqrt(1020/pi) = r

r = 18.02

Then, since diameter is r*2, you can just multiply 18.02 * 2 to get the diameter.

d = 18.02 * 2

d = 36.04

Hope this helps.

Answer:

what is the question you are asking?

Answer:

Domain is all real numbers

Range is (3, ∞) or y > 3

Step-by-step explanation:

Both equations are equal since they both reduce to 4x + 8 as the surface area of a rectangle with dimensions of (x + 2) units and (4 units).

An expression in mathematics is made up of various elements, including numbers, variables, and mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can represent a single number or a group of numbers, and they can be simple or sophisticated. For instance, the phrase 3x + 2 denotes a linear equation with the variable x. The expression (x + 3)(x - 4) denotes the sum of two binomials.

given

First and third expressions are interchangeable.

the surface area of a rectangle with dimensions of (x + 2) units and (4 units).

Area is equal to length times breadth.

Area = 4x + 8x + (x + 2) x 4a rectangular prism with dimensions of 2 units long, 1 units broad, and (2x + 4) units high has a volume of 4 units.

Volume is calculated using the formula LWH.

Volume equals 2 x 1 x ((2x + 4))

Volume equals 2(2x + 4)

Volume = 4 times Plus 8

Both equations are equal since they both reduce to 4x + 8 as the surface area of a rectangle with dimensions of (x + 2) units and (4 units).

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Answer:

p=c(1+r)^t so the population will be 4679.43424 or rounded to 4679

Step-by-step explanation:

p=c(1+r)^t

p=4,000(1+.04)^t

p=4,000(1.04)^t

p=4,000(1.04)^4

p=4679.43424

p= the population you are solving for

c= the initial amount of the population

(1+r)= the rate of change

t= the period of time

The exponential equation that represents the population of the town in terms of the number of years : \(p=4000 (1+0.4)^{t}\)

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

It is similar to the amount received after investing a certain amount compounded annually.

Given,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

The exponential equation will be: \(p=4000 (1+0.4)^{t}\)

(The population of the town has grown exponentially. This means that:

Initial population = 4000

Population in year I = 4000 + 4% of 4000 = 4000(1 + 0.4)

Population in year II = 4000 + 4% of 4000(1 + 0.4) = 4000(1 + 0.4)(1+0.4)

and this goes on.)

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Answer:

4.214

Step-by-step explanation:

Original Equation:

6.58 + 7.64 - 10.006

Add 6.58 to 7.64

14.22

Subtract 10.006 from 14.22

4.214

Hope this helps :)

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The volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

A prism is a solid shape that is bound on all its sides by plane faces.

Given are prisms, we need to find their volumes :-

Volume = area of base × height

1) Base is a rectangle, area = length × width, height = 24

Volume = 24·14·35 = 11760 units³

2) Base is a rectangle, area = length × width, height = 21

Volume = 21·14·27 = 7938 units³

3) This is a cube, with side 21 units

Volume of cube = side³ = 9261 units³

4) This is a trapezoidal prism,

Volume = 1/2(b1+b2) × height × length = 1/2(36+24) × 38 × 20

= 22800 unit³

5) This is a triangular prism,

Volume = 1/2 × height × length × base

= 1/2 × 33 × 34 × 21 = 11781 units³

6) This is a cylinder,

Base is circular, volume = π·radius²·height

= 3.14·20·20·31 = 38936 units³

7) Base is a rectangle, area = length × width, height = 37

Volume = 25·37·25 = 23125 units³

8) Base is a rectangle, area = length × width, height = 28

Volume = 39·24·28 = 26208 units³

9) Base is a rectangle, area = length × width, height = 36

Volume = 36·24·17 = 14688 units³

Hence, the volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

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Answer:

The better buy is $1.58 for 14 ounces.

Step-by-step explanation:

We'll calculate each unit price by dividing each price by the ounces.

$1.58 for 14 ounces:

$0.58 for 4 ounces:

This way, we can conclude that the better buy is $1.58 for 14 ounces.

The inequality relation  -q > -7  can be represented in the form of q as q < 7

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be A

The value of A is - q > - 7

Now , multiplying by (-1) on both sides of the equation , we get

( -1 ) ( -q ) > ( -1 ) ( - 7 )

The inequality relation will change the sign from > to < and ,

q < 7

So , the value of the inequality relation A is q < 7

Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A

The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

Hence , The inequality relation  -q > -7  can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }

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Answer:

$7875

Step-by-step explanation:

1 Month      4000 Paid

2 Months    2000 Paid

3 Months     1000 Paid

4 Months     500 Paid

5 Months      250 Paid

6 Months       125 paid

Total = $7875 Paid

Hope this helped ;)

Changes made to your input should not affect the solution:

Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).

x3+x2-8x-12 is not a perfect cube

Factoring: x3+x2-8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)

Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)

Answer:

the x-intercepts are at (-3,0) and (13,0)

Step-by-step explanation:

I dont think this is college level though :)

Answer:

3×30=90

3×8=24

90-24=66

66÷4=16.5

The percentage of drivers who are at least 45 is 62%

From the question, we have the following parameters that can be used in our computation:

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

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Answer:

no

Step-by-step explanation:

it does not satisfy the pythagorean theorem

Answer:

a puppy because it easy to take care of

Step-by-step explanation:

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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The calculated value of the mode(s) of the data is (a) 1

From the question, we have the following parameters that can be used in our computation:

1, 0, 2, 2, 3, 0, 1, 1, 4, and 5

By definition, the mode of a data is the data that has the highest frequency

Using the above as a guide, we have the following:

The data element 1 has the highest frequency of 3

Other data elements have lesser frequencies

Hence, the mode(s) of the data is (a) 1

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Answer:

dunno

Step-by-step explanation:

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$

\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}

100 sin 35° = 80 sin 55°=57.73 mT

herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.

Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.

To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.

Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.

Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.

To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.

(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus

:$$c^2 = a^2 + b^2$$

where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$

c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$

Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.

Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$

Therefore, the bearing of the boy's current position from the starting point is N51°E.

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