Math is very hard
So can y’all help me please

Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

Answer:

P(Take the bus|Junior)=0.57

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

\({\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}}\)

Where \(P(A\cap B)\) is the probability that both events occur and P(B) is the probability that B occurs.

The two-way table shows statistics of students and we are interested to find the probability that, given the student is a junior (let's call it event B), they also take the bus (Event A). Thus, the probability we need to calculate is:

\(\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}\)

Checking on the table, we can see that both events occur when the row and the column of both events coincide, i.e. 20 students out of a total of 100 students in total. Thus:

\(\displaystyle P(A\cap B)=\frac {20}{100}=0.2\)

The probability that a student is classified as Junior is

\(\displaystyle P(B)=\frac {35}{100}=0.35\)

The conditional probability is:

\(\displaystyle P(A\mid B)=\frac {0.2}{0.35}=0.5714\)

P(Take the bus|Junior)=0.57

The value of g(x) = [x] At, 2 ≤ x < 3, g(x) = 2, It is also known as the greatest integer function.

A function on real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals.

Informally speaking, a step function is a piecewise constant function having only finitely many pieces.

A step function f(x) = [x] is called a step function where the output is the greatest integer less than or equal to the input.

The function is g(x) = [x].

At, - 1 ≤ x < 0, g(x) = 0.

At, 1 ≤ x < 2, g(x) = 1.

At, 2 ≤ x < 3, g(x) = 2.

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Answer:

Step-by-step explanation:

Plan for store 1,

y = 47 + 20x

Here y = cost of the camera

x = number of months to pay

Plan for store 2,

y = 15x + 77

If Brianna pays off the amount in 12 months,

So for x = 12 months,

For store 1,

y = 47 + (20×12)

y = $287

For store 2,

y = 15(12) + 77

y = 180 + 77

y = $257

The camera at the second store is cheaper when he camera is paid off in 12 months because the cost at the first store is $287 and cost at the second store is $257.

Step-by-step explanation:

we know that 1m=100cm

so 1m:5m(final)

1:5

Answer:

1/5

Step-by-step explanation:

Since 100cm = 1m

then

100cm:5m becomes 1m:5m

which in fraction is 1/5

The value of cos(A + B), in simplest form, is (√1241)(12) - 980 / 1665.

To find the value of cos(A + B) in simplest form, we can use trigonometric identities and properties. Let's start by solving for angles A and B.

Given that tan(A) = 28/45 and A is a positive acute angle, we can determine the value of angle A using the inverse tangent (arctan) function:

A = arctan(28/45)

Using a calculator, we find that A ≈ 33.69°.

Given that sin(B) = 35/37 and B is a positive acute angle, we can determine the value of angle B using the inverse sine (arcsin) function:

B = arcsin(35/37)

Using a calculator, we find that B ≈ 50.93°.

Now that we know the values of angles A and B, we can proceed to find the value of cos(A + B).

Using the identity cos(A + B) = cos(A)cos(B) - sin(A)sin(B), we can substitute the values we have:

cos(A + B) = cos(A)cos(B) - sin(A)sin(B)

To find cos(A), we can use the Pythagorean identity \(sin^2(A) + cos^2(A)\) = 1. Since we know sin(A) = sin(33.69°), we can solve for cos(A):

\(sin^2(A) + cos^2(A) = 1\\sin^2(A) = 1 - cos^2(A)\\cos^2(A) = 1 - sin^2(A)\\cos^2(A) = 1 - (28/45)^2\\cos^2(A) = 1 - 784/2025\\cos^2(A) = 1241/2025\)

cos(A) = √(1241/2025) = √1241/45

To find cos(B), we can use the Pythagorean identity \(sin^2(B) + cos^2(B)\) = 1. Since we know sin(B) = 35/37, we can solve for cos(B):

\(sin^2(B) + cos^2(B) = 1\\cos^2(B) = 1 - sin^2(B)\\cos^2(B) = 1 - (35/37)^2\\\\cos^2(B) = 1 - 1225/1369\\cos^2(B) = 144/1369\)

cos(B) = √(144/1369) = 12/37

Now we can substitute these values into the expression for cos(A + B):

cos(A + B) = (√1241/45)(12/37) - (28/45)(35/37)

cos(A + B) = (√1241)(12)/45(37) - (28)(35)/45(37)

cos(A + B) = (√1241)(12)/1665 - 980/1665

cos(A + B) = (√1241)(12)/1665 - 980/1665

cos(A + B) = (√1241)(12) - 980 / 1665

Therefore, the value of cos(A + B), in simplest form, is (√1241)(12) - 980 / 1665.

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Answer:

$-69.94

Step-by-step explanation:

Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94

He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)

Total amount left in his account = $-49.94 - $20

Answer:

220.00

-185.00

= 35.00 the difference of what was paid at the same prices.

The expression (4 + 7) × 5 - X × 6 ÷ 9 + 7 × 8 - I ÷ 9 + 3 equals 26.4.

To create an expression equal to 26.4 using the given tiles, we can use the following mathematical operations:

(4 + 7) × 5 - X × 6 ÷ 9 + 7 × 8 - I ÷ 9 + 3

how the expression breaks down:

1. (4 + 7) = 11

2. 11 × 5 = 55

3. 55 - X × 6 = 26.4 (solve for X)

  Solving the equation, we find that X = 6.1

4. 55 - 6.1 × 6 = 18.6

5. 18.6 ÷ 9 = 2.0667 (rounded to four decimal places)

6. 2.0667 + 7 × 8 = 58.0667

7. 58.0667 - I ÷ 9 = 26.4 (solve for I)

  Solving the equation, we find that I = 3

8. 58.0667 - 3 ÷ 9 = 26.4

Therefore, the expression (4 + 7) × 5 - X × 6 ÷ 9 + 7 × 8 - I ÷ 9 + 3 equals 26.4.

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Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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Answer:

x =  ±sqrt(3/2)

Step-by-step explanation:

10x^2 - 6 = 9

Add 6 to each side

10x^2 - 6+6 = 9+6

10x^2 =15

Divide each side by 10

10x^2/10  = 15/10

x^2 = 3/2

Take the square root of each side

sqrt(x^2) = ±sqrt(3/2)

x =  ±sqrt(3/2)

Formula is 3xVolume over πxradius^2

Height is 19.16 cm.

Answer:

Step-by-step explanation:

Ok

Answer:

A factory that manufactures bolts is performing a quality control experiment. Each object should have a length of no more than  11 centimeters. The factory believes that the length of the bolts exceeds this value and measures the length of 76 bolts. The sample mean bolt length was 11.09 centimeters. The population standard deviation is known to be 0.29 centimeters.

What is the test statistic ?

What is the -value?

Does sufficient evidence exist that the length of bolts is actually greater than the mean value at a significance level of

The slope of the curve  y⁴ = y² - x² is 1 and repeat the process for the second point.

Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.

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Answer:

\(\frac{169}{4} \pi\) square feet

Step-by-step explanation:

Circumference = 2πr

13π = 2πr

\(\frac{13}{2}\)=r

Area = πr²

π × \(\frac{13}{2}\)² =

\(\frac{169}{4}\)π square feet

Answer:

less than 5

Step-by-step explanation:

im pretty sure

Answer:

D. \sqrt(384)

Step-by-step explanation:

All you have to do is to expand the root the way I have done. I hope you understand and rate this answer well.

Don't forget 8 is the same as root(8) * root(8) which will give root(64) and the square root of 64 is 8.

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Step-by-step explanation:

-3(7 + 5) + 9(2)

-3(12) + 18

-36 + 18

= - 18

In my opinion this should be the answer

Answer:

14

Step-by-step explanation:

Your welcome!

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

Equation 1: 14t + 61s = 150

Equation 2: 14t + 25s = 78

Use Elimination (x)

(-1) (14t + 25s) = (78) (-1)

-14t - 25s = -78

14t + 61s = 150

+ -14t - 25s = -78

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

36s = 72

s = 2

Salad costs $2

Then find t

14t + 61(2) = 150

14t + 122 = 150

14t = 28

t = 2

Sandwich costs $2

Answer:

Step-by-step explanation:

1. AC ≅ EC                      1.Given

2. ∠ACB ≅ ∠ECD            2. Vertically opposite angles are congruent.

3. BC ≅ DC                      3. Given

4.ΔACB ≅ Δ ECD             4. Side Angle Side Congruent

5. AB ≅ ED                   5. CPCT  {Corresponding part of congruent triangles}

The estimated mean of the given  values is 12.2.

What is mean ?

A dataset's mean (also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. It is frequently referred to as the "average" and is the most widely used measure of central tendency.

(a) The table can be completed by multiplying the value of f by the value of x. You can see the complete table from the link given below (excel's link ).

(b) Here, ∑fx = 610

         ∑f = 50

∴ Mean = ∑fx ÷  ∑f

             = 610 ÷ 50

             = 12.2

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Given :

The table show a proportional relationship between the number of pounds and the total cost

so,

The closest option to the cone area is 923.2 m². 

A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.

To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:

A = \(\pi\)r² + \(\pi\)rℓ

where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.

First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.

h² = ℓ² - r²

h² = 19.3² - 14²

h ≈ 11.48 feet

Now we can compute the surface.

A = \(\pi\)(14)² + \(\pi\)(14)(19.3)

A ≈ 923.2 square feet

So the closest option to the cone area is 923.2 m². 

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Yes, Matrix B is invertible.

And, The eigenvalues of B−1 are;

⇒ (5 ± 7.68) / 14 - 1

An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.

Given that;

B be a 2 ×2 matrix such that;

⇒ 7B² −5B + 3I = 0

Now,

Since, B be a 2 ×2 matrix.

And, The expression is,

⇒ 7B² −5B + 3I = 0

⇒ B² −5/7B + 3I/7 = 0

Multiply by B⁻¹, we get;

⇒ B - 5/7 + 3B⁻¹ = 0

Solve for B⁻¹;

⇒ 3B⁻¹ = - B + 5/7

⇒ B⁻¹ = - B/3 + 5/21

Thus, The matrix B is invertible.

And, The eigen value of B are;

⇒ 7B² −5B + 3I = 0

⇒ 7B² −5B + 3I = 0

⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7

⇒ B = 5 ± √25 - 84/14

⇒ B = 5 ± √- 59 / 14

⇒ B = 5 ± 7.68 i / 14

⇒ B - 1 = (5 ± 7.68) / 14 - 1

Thus, Matrix B is invertible.

The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1

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all work should be in the picture, lmk if theres anything confusing