Solve this problem,
Each month, Megan babysits for a total of 50 hours. How many hours will she spend
babysitting in a year?
hours
Type the correct answer.

The probability that the first tile is less than 15 and the second tile is even or greater than 25 is 0.448.

The probability is found as follows:

Favorable outcomes:

The first tile is less than 15: There are 14 tiles numbered from 1 to 14 in the first box that satisfy this condition.

The second tile is even or greater than 25: In the second box, there are 10 even tiles and 6 tiles greater than 25.

Total outcomes:

Total number of outcomes = 25 * 20 or 500

Therefore, the probability will be:

Probability = (14 * 16) / 500

Probability = 224 / 500

Probability = 0.448

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Complete question:

Tiles numbered 1 through 25 are placed in a box. Tiles numbered 11 through 30 are placed in a second box. The first tile is randomly drawn from the first box. The second tile is randomly drawn from the second box. Find the probability that the first tile is less than 15 and the other tile is even or greater than 25.

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

30.807

Step-by-step explanation:

$4.89 x $6.3= 30.807

Answer:

1. -10

2. -5/3

3. -10

4. 5/3

5. 3

6. 4/10

7. 2/5

8. 10/7

9. 1/2

10. -9/2

Step-by-step explanation:

slope equals y2 - y1 over x2 -x1

The system of equations that could be used to determine the number of hours Shandra worked washing cars last week and the number of hours she worked walking dog last week is :

9x + 8y = 90

    x + y = 11

What exactly is an expression?

When using operations like addition, subtraction, multiplication, and division, a mathematical expression are defined as a collection of numbers, variables, and functions.

Given,

Shandra makes $9 per hour washing cars.

Shandra makes $8 per hour by walking dogs.

Total no. of hours she worked last week = 11

Total money she earned last week = $90

Let the no. of hours she washes cars = x

Let the no. of hours she walks dogs = y

Therefore,

9x + 8y = 90

   x + y = 11

Hence, these two are the expression .

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The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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The interquartile range (IQR) is found as the 20.24. The correct option is (d) 20.24.

Given that X N(300, 15), find the Interquartile Range (IQR).

The given distribution is normal with mean μ = 300 and standard deviation σ = 15.

We need to calculate the interquartile range (IQR).IQR is defined as the difference between the third quartile (Q3) and the first quartile (Q1).

The first quartile (Q1) is the value below which 25% of the data fall and the third quartile (Q3) is the value below which 75% of the data fall.

We can find these values using the standard normal distribution table.

For the first quartile,

z1 = invNorm(0.25)

= -0.67449

Q1 = μ + σ × z1

= 300 + 15 × (-0.67449)

= 289.88

≈ 289.89

For the third quartile,

z3 = invNorm(0.75)

= 0.67449

Q3 = μ + σ × z3

= 300 + 15 × 0.67449

= 310.12

Therefore, the interquartile range (IQR)

= Q3 – Q1

= 310.12 – 289.89

= 20.23

≈ 20.24

Hence, the correct option is (d) 20.24.

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The given problem is "In an isosceles triangle, the uneven side is 8 cm shorter than each of the equal sides. Calculate the sides of the triangle knowing that the perimeter is 31 cm.

To find,

The sides of the triangle.

Solution,

Let each of equal sides are x.

The unequal sides is x-8.

Perimeter is the sum of all the sides. So,

31 = x+x+x-8

31+8=3x

3x = 39

x = 13

So, the equal sides are 13 cm.

Unequal side = x-8

= 13-8

= 5 cm

Hence, two of the equal sides are 13 cm and unequal side is 5 cm.

As per the query, we have to find a number which is divided by 8 that answers 27, i.e., quotient is 27, and remainder is 4. The number is 220.

In this case, we used it to find the number that was divided by 8 and gave a quotient of 27 and a remainder of 4. As we know the rule:

Dividend = Divisor × Quotient + Remainder

x = 8 × 27 + 4 x = 216 + 4 x = 220.

Hence, the number is 220.

The formula I used is called the division algorithm. It’s a way to divide two numbers and get a quotient and remainder. We can use this formula to solve other division problems with remainders as well.

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Answer: 11 cm

Step-by-step explanation:

1. (−6,5π/4) => to rectangular coordinates are: (1.5, 0)

2. (-3, 3√3) tο pοlar cοοrdinates are : ( 6, 2.70)

3. the rectangular equation to polar form is: r = 23/ (13 cosθ−12 sinθ).

Here, we have,

1.)

Concept Used: Polar to rectangular coordinates:

Given a point, (r, θ), in polar coordinates, then the corresponding point in rectangular coordinates, is defined as:

x = r cosθ, y = r sinθ

so, we get,

here, we have, r = -6, θ =5π/4

so, x = -6× -0.25 = 1.5

and, y = -6 × 0 = 0

(−6,5π/4) => to rectangular coordinates are: (1.5, 0)

2.)

now, we have,

Tο represent a pοint in pοlar cοοrdinates, we use the nοtatiοn (r, θ), where r is the distance frοm the οrigin tο the pοint, and θ is the angle between the reference line and the line cοnnecting the οrigin tο the pοint, measured in a cοunterclοckwise directiοn.

Tο cοnvert the rectangular cοοrdinates (-3, 3√3) tο pοlar cοοrdinates,

We can use the fοllοwing fοrmulas tο find r and θ:

r = √(x² + y²)

θ = atan2(y, x)

so, we get,

r = 6 and, θ= 2.70

So, (-3, 3√3) tο pοlar cοοrdinates are : ( 6, 2.70)

3.)

the rectangular equation is:. 13x−12y=23

now, we know,

x = r cosθ, y = r sinθ

so, we get,

13 r cosθ−12r sinθ=23

solving for r , we get,

r = 23/ (13 cosθ−12 sinθ)

so, the rectangular equation to polar form is: r = 23/ (13 cosθ−12 sinθ).

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Answer:

63cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the two triangles

Area of the rectangle = 6(3+14)

Area of the rectangle = 6 * 17

Area of the rectangle = 102cm²

Area of the smaller triangle = 1/2 * 3 * 6

Area of the smaller triangle = 18/2 = 9cm²

Area of the larger triangle = 1/2 * 6 * (17-7)

Area of the larger triangle = 1/2 * 6 * 10

Area of the larger triangle = 60/2 = 30cm²

Area of the shaded part = 102 - (9+30)

Area of the shaded part = 102 - 39

Area of the shaded part = 63cm²

Answer:

80

Step-by-step explanation:

\( \sin(80) = \cos(10) \\ 90 - x = 10 \\ x = 80\)

Answer:

-11

Step-by-step explanation:

Multiply two negatives and you get a positive so

-11 x (-11) = 121

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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Answer:

planet fitness will take one month and total fitness will take 3 months

Step-by-step explanation:

planet fitness:

75

total fitness:

25

50

75

Answer: $4,800

Step-by-step explanation:

(Assuming the interest is calculated monthly)

1. 6% of $40,000 = $2,400

2. $2,400 x 2 months = $4,800

3. Total value of account = $44,800; $4,800 is from interest

Answer:

Step-by-step explanation:

To check for 6 - Number should be Divisible by 2 and 3

4186650 is divisible by 2 % 3

To check for 8 - Las Three digits should be taken as a number and be checked if its divisible my 8

4186650 / 4 = 165.5

So the number is not divisible by 8

To check for 11 - we need to add the odd places and the even places and then subtract them both. if the answer is 11 or 0 then its divisible

4 + 8 + 6 + 0 = 19

1 + 6 + 5 = 12

19 - 12 = 7

So the number is not divisible by 11

Hope you are clear

The surface area of the level is 28 square inches.

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

Given, A label is placed around the juice box.

Since,

The surface area of a cuboid is the total space occupied by it. A cuboid is a six-faced three-dimensional shape in which each face is in the shape of a rectangle.

The dimensions of juice box are:

length=2 inches,

breadth=1.5 inches, and

height= 4 inches.

The lateral surface area of a cuboid is given by 2(length+breadth)×height.

Now, lateral surface area of juice box = 2(2+1.5)×4

= 2×3.5×4

= 28 squared inches

Therefore, option A is the correct answer.

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Complete question:

Answer:

A. 5x^2+12x-7

-2 + 7= 5

Answer: its easy 0 and 4

Step-by-step explanation:

Answer:

2x - y = 2

Step-by-step explanation:

The first thing to do is find the slope of the line. Slope can be found using:

rise/run

you can count up on the graph then count across on the x-axis until you reach a point on the line

If you start on -2, you'll count up 2 then go across 1 to land on point (1,0)

So your slope is 2/1 which is just 2

Another thing to note is that your line intercepts at point (0,-2)

With this information, we can create an equation for the line that is in slope intercept form:

y = mx + b

m = slope

b =y- intercept

y = 2x - 2

HOWEVER, the question asks for this to be in standard form, so we have to get x on the right side of the expression and make sure the first and last values are positive:

y   = 2x - 2

-2x   -2x

-2x + y = -2

     /-1     /-1

2x - y = 2

Answer:

Step-by-step explanation:

To graph the line with slope 3 passing through the point (1,-5), we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is a point on the line.

Substituting the given values, we get:

y - (-5) = 3(x - 1)

Simplifying the equation, we get:

y + 5 = 3x - 3

Subtracting 5 from both sides, we get:

y = 3x - 8

Now we have the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Comparing this equation to the one we just found, we can see that the slope is 3 and the y-intercept is -8.

To graph the line, we can plot the y-intercept at (0,-8) and then use the slope to find other points on the line. Since the slope is 3, we can go up 3 units and to the right 1 unit to find another point on the line. We can repeat this process to find more points on the line, and then connect them to graph the line.

Answer:

944 cm²

Step-by-step explanation:

get the area of each side: 12*10+10*16+12*16= 472

2 sets of each side: 944

If cyclic quadrilateral ABCD with AB = 7, BC = 13, CD = 13, and AD = 8, and m∠BAC = 60°, then AC is 11.27.

To find the length of AC in the cyclic quadrilateral ABCD, we can use the Law of Cosines for triangle ABC.

In triangle ABC, we have:

AB = 7 (given)

BC = 13 (given)

m∠BAC = 60° (given)

Let's denote AC as x (what we want to find).

Using the Law of Cosines, we have:

AC^2 = AB^2 + BC^2 - 2 * AB * BC * cos(m∠BAC)

Plugging in the given values, we get:

x^2 = 7^2 + 13^2 - 2 * 7 * 13 * cos(60°)

Simplifying, we have:

x^2 = 49 + 169 - 182 * cos(60°)

Now, we need to find the value of cos(60°). In a right triangle with angles 30°-60°-90°, the cosine of 60° is equal to 1/2.

x^2 = 49 + 169 - 182 * (1/2)

x^2 = 218 - 91

x^2 = 127

x = √127 ≈ 11.269 ≈ 11.27

Therefore, AC ≈ 11.27

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Answer:

a) t = 4000/v

b) t = 4000/(v + 20)

c) see attached workings

Step-by-step explanation:

a)  A man jogs 4 km everyday at an average speed of v m/min

As the speed is measured in meters per minute, we need to convert the distance (4 km) into meters:

    1 km = 1000 m

⇒ 4 km = 4 x 1000 = 4000 m

   distance = speed x time

⇒ time = distance / speed

⇒ t = 4000/v  (where t = time in minutes)

b) If his average speed increased by 20 m/min, then his speed would now be  (v + 20) m/min

⇒ t = 4000/(v + 20)  (where t = time in minutes)

c) Given the man would take 3 min less if his average speed increased by 20 m/min, we can rewrite the second equation as:

t - 3 = 4000/(v + 20)

Now simply substitute the first equation t = 4000/v into the second:

(I have typed this used MS Word and attached, as the equation editor here in Brainly is not working at the moment).

A process in which a number is changed, such as by adding, subtracting, dividing, or multiplying is called Mathematical Expression.

When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a Mathematical Expression.

Addition is adding two or more numbers to find their sum.

Subtracting is finding the difference between two or more numbers.

Division is finding the quotient of two number by dividing the both numbers.

Multiplying is finding the product of two or more numbers.

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Answer:

x  ⪯ 7

Step-by-step explanation:

5 + 2 = 7