Find the probability of guessing correctly at least 6 of the 10 answers on a true-false examination.

Answer:

7.5

Step-by-step explanation:

you would round up the .47 to .5 since the .47 is closer to .5 than .4

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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How would you describe the difference between the graphs of f(x) = 2x² and g(x) = -2x²: D. g(x) is a reflection of f(x) over the x-axis.

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

In this context, we can reasonably infer and logically deduce that a graph of transformed function g(x) = -2x² would be created by applying a reflection over or across the x-axis to the graph of the parent function f(x) = 2x² as shown in the image attached below.

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Answer:

y=7/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-0)/(-3-0)

m=-7/-3

m=7/3

y-y1=m(x-x1)

y-0=7/3(x-0)

y=7/3(x)

y=7/3x

Equation of the line through (0,0) and (-3,-7) is y=7/3x

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the equation of the line through (0,0) and (-3,-7)

m=-7/-3=7/3

Now let us find the y intercept

-7=7/3(-3)+b

b=0

So the equation is y=7/3x

Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Therefore, the height of the kite from the ground is 184.97 ft (rounded to 3 decimal places).

Let us solve the given problem,Given data,The string of the kite is 375 ft longThe angle made by the kite with a horizontal line is 50°The bottom end of the string is 5.5 ft off the groundLet's assume the kite is at point A and the bottom end of the string is at point B.

AB represents the string of the kite and AC is perpendicular to the ground.So, we have to find the height of point A from the ground.To solve this problem, we have to break the given angle of 50° into two parts such that we get a right-angled triangle.

This is because we need to use trigonometric ratios in order to solve the problem.

As per the given figure, we can see that ∠EAB = 90° - ∠BAD = 90° - (50°/2) = 65°Now, we can calculate the height of point A from point C.So, in right-angled ΔABC,

an 65° = height AB / 5.5 ft

=> AB = 5.5 tan 65° = 20.04 ft

Now, we can find the height of point A by calculating BC.In right-angled ΔABC, cos 65° = BC / 375 ft

=> BC = 375 cos 65° = 164.93 ft

So, the height of the kite from the ground is given as:height of point A = height of point C + height AB=> height of point

A = 0 + 20.04 ft + 164.93 ft= 184.97 ft

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The equation of line that passes through a pair of points: (2, 3), (4, -2).is option B. y = -5/2 x + 8.

Suppose the given points are (x_1, y_1) and (x_2, y_2),

then the equation of the straight line joining both two points is given by

\((y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\)

We need to find the equation of the line that passes through a pair of points: (2, 3), (4, -2).

So, the equation would be

\((y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\)

\((y - 3) = \dfrac{-2 - 3}{4- 2} (x -2)\\\\\\(y - 3) = \dfrac{-5}{2} (x -2)\\\\\\2(y - 3) = -5 (x -2)\\\\2y - 6 = -5x + 10\\\\2y = -5x + 16\\\\y = -5/2 x + 8\)

Hence, the equation of line is option B. y = -5/2 x + 8.

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Answer:B

Step-by-step explanation:

Answer:

$39

Step-by-step explanation:

(hope you get a 100%:))

Answer:

I think it is 50 because 75-25=50

Answer:

Step-by-step explanation: slope is (9-(-3))/(25-5)

12/20=0.6

point slope formula y-y1=m(x-x1), m slope (x1, y1) point

y-9=0.6(x-25)

y=0.6x-15+9

y=0.6x-6, x months and y profit.

for 60 months, y=0.6*60-6 or 36-6=$30000 profit

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

False. The product of two negative integers is a positive integer.

+(-11) is -11. You're "adding" -11 when in reality you're taking away 11 unless:

the equation looks like: -6+(-11)

the answer would be -17 because you're adding a negative to a negative. Taking away from a negative number is simply moving further down the negative number line, which makes the negative numbers "increase" in value

But if an equation looks like: 6+(-11)

the answer would be -5 since you are taking away 11 from a positive number.

Hope this makes sense and answers your question.

Answer:

Eight Hours.

Step-by-step explanation:

Since she makes 4$ in 1 hour, you divide 32 by 4 to see how many hours it would take her.

32 divided by 4 = 8

Jada needs 8 hours to walk dogs to earn enough money to buy the new jacket which costs $32.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Jada wants to purchase a new jacket that costs $32.

Since she makes 4$ in 1 hour

So, Time is taken to earn money to 4$ = 1 hour

      Time is taken to earn money to1$  = 1/4hour

Time is taken to earn money to 32$ = 32/4hour

                                                   = 8 hour

Thus, Jada needs 8 hours to walk dogs to earn enough money to buy the jacket.

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The equation of the line with slope −6 which goes through the point (−9,−6) = y = -6x + 9.

When you know the slope of something like the line to be investigated and the point given also contains the y-intercept, you can utilize the slope-intercept formula y = MX + b. (0, b). The y value of the y-intercept  point is represented by b in the formula.

A line's slope is the ratio of how much y grows as x increases by a certain amount. The slope of a line indicates how steep it is, or how much y grows as x increases.

The slope of the line = -6  = m

The points (−9,−6). x = -9 , y = -6

Find the y-intercept.

y=mx+b

Substituting the value we get:

-6 = (-6 x -9) + b

-6 = -54 x b

b = 54/6

b = 9.

The equation in slope intercept form as:

y=mx+b

y = (-6)x + 9

y = -6x + 9

The equation of the line with slope −6 which goes through the point (−9,−6) = y = -6x + 9.

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Area = (top base + bottom base)/2 * height

= (4 + 8) / 2 * 4

= 12 / 2 * 4

= 24

The equation of the line in fully simplified slope-intercept form is y = -x/3 -1

The slope-intercept form of a straight line is used to find a line's equation. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula.

Consider a straight line with y-intercept b and slope m. For a straight line with slope "m" and y-intercept "b,"

The slope intercept form equation is: y = mx + b.

According to the question,

The line is passing through (3,-2) and (-3 ,0)

Slope of any line passing through two points = y2-y1 / x2-x1

Slope of required line: m = 0 - (-2) / -3 - 3

=> m = -2/6

=> m = -1/3

Equation of line => y = -1/3 x + b -----(1)

As we know this line is passing through (-3,0)

Substituting the value in equation(1)

=> 0 = 1 + b

=> b = -1

Hence , The equation of line is y = -1/3 x -1

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Answer:

1) (7x - 8) - (2x + 4)

= 7x - 8 - 2x - 4

= 5x - 12

2) (8x - 6y) - (2x - y)

= 8x - 2x -6y + y

= 6x - 5y

3) (12xy + 5y) - (23xy - 3y)

= 12xy - 23xy + 5y + 8y

= -11xy + 13y

= 13y - 11xy

Answer:

<3=75°

Step-by-step explanation:

Angle 3 and angle 2x+95 are supplementary( supplementary angles add up to 180°)

So <3+2x+95=180

<3+2x=180-95

<3+2x=85( let's call this equation 1)

Next, angle 5 and angle 8x+71 are opposite angles (opposite angles are equal) therefore <5=8x+71

Now, <3 and <5 are co-interior angles(co-interior angles are supplementary)

So <3+8x+71=180

<3+8x=180-71=109

Thus, <3+8x=109(let's call this equation 2)

Now solving equation 1 and 2 simultaneously:

Make <3 the subject of equation 1

<3=85-2x

Put <3=85-2x into equation 2

85-2x+8x=109

6x=24

x=24/6=4

Now, remember that angle 2x+95 becomes

2(4)+95

8+95=103°

Therefore<3=180-105=75°

The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."

According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.

The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:

Sum = (n/2)(first term + last term)

In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:

Sum = (7/2)(x + (x + 6))

Simplifying the equation:

(7/2)(2x + 6) = (21/4)(x + 6)

Multiplying both sides by 4 to eliminate the fractions:

14x + 42 = 21x + 126

Subtracting 14x from both sides:

42 = 7x + 126

Subtracting 126 from both sides:

-84 = 7x

Dividing both sides by 7:

-12 = x.

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Answer:

Step-by-step explanation:

f(x) = -8x⁷ + 8x - 6

To find f(-x), we'll need to plug in -x instead of x.

f(x) = -8x⁷ + 8x - 6

f(-x) = -8(-x)⁷ + 8(-x) - 6

Answer

1) √41 < 6.8

2) -√41 > -6.8

3) (-1.2)² > -(1.2)²

4) -√10 < -3

Explanation

The question asks us to check which of the following is greater

1) √41 or 6.8

√41 = 6.403

So,

6.403 is lesser than 6.8, hence,

√41 < 6.8

2) -√41 or -6.8

-√41 = -6.403

But, for negative numbers, -1 is greater than -2.

-6.403 is greater than -6.8, hence

-√41 > -6.8

3) (-1.2)² or -(1.2)²

(-1.2)² = 1.44

-(1.2)² = -1.44

1.44 is greater than -1.44, hence

(-1.2)² > -(1.2)²

4) -√10 or -3

-√10 = -3.162

-3.162 is lesser than -3, hence

-√10 < -3

Hope this Helps!!!

Answer:

$1400x  + $150

Step-by-step explanation:

Let the total cost of rent used for a month be $1400 plus a $150 application fee.

This means that;

Total cost (1 month) = $1400(1) + $150 = $1550

TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.

The cost of rent for x month = 1400x * $150

The cost of rent for x month = $1400x  + $150 (application fee are paid only once)

Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

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Answer:

y =3x + 5

Step-by-step explanation:

The slope intercept form of an equation is expressed as;

y = mx+c

m is the slope

c is the intercept

Get the intercept

Substitute m = 3 and (-2,-1) into y = mx+c

-1 = 3(-2)+c

-1 = -6 + c

c = -1+6

c = 5

Get the equation.

Recall that y = mx+c

y =3x + 5

This gives the required equation