A golf club manufacturer measures the impact elasticity of a new material. This is done by randomly selecting a driver head made from the new material, firing a golf ball at it from an air cannon (under carefully controlled conditions), and making certain measurements of the ball's motion. These measurements are used to calculate a number called the coefficient of restitution of the driver head. Engineers use this procedure 30 times. The sample mean coefficient of restitution is 0.835. Calculate a 99% confidence interval for the true mean coefficient of restitution, assuming the population standard deviation of such coefficients is 0.019. Round your answers to the fourth decimal digit.

Answer:

See image below

Step-by-step explanation:

Every point starting at the y axis and extending left to ∞ represents the inequality x ≤ 0

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

In this question we need to determine the new location of a point by using a translation formula. Translations are rigid transformations in which a point is translated on a Cartesian plane. We have the following formula:

P'(x, y) = P(x, y) + (- 5, - 2)     (1)

Where:

If we know that P(x, y) = (6, - 1), then the resulting point is:

P'(x, y) = (6, - 1) + (- 5, - 2)

P'(x, y) = (1, - 3)

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

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Answer:

c

Step-by-step explanation:

The square feet of land that 346 workers can plant each minute is 2076 ft.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Square feet that can be planted each minute :

number of workers x feet of each seeding x ( one minute / time required to plant one seeding)

346 X 1.5 X (60 / 20) = 2076 ft

Here is the complete question:

Joey bought a plot of land measuring 1 square mile, on which he plans to grow blueberries. He hires 346 people to plant seedlings. It takes about 20 seconds to plant a seedling.  each seedling requires 1.5ft of land. How many square feet of land can the 346 workers plant each minute?

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If you are  solving for X then we have to do a few process

What you would want most is to remove the parentheses, so to do that i would use distributive property

3*2x is 6x and 3*3 is 9  so our new equation will look like

6x+9=15 if you don't understand please tell me

now we must bring the 9 over

If you bring the 9 over than it would become negative

6x=15-9

so 6x=6

and now you can solve the answer is x=1

Answer:

The solution is x = 1

Step-by-step explanation:

3(2x+3) = 15

6x+9 = 15

6x = 15-9

6x = 6

x = 6/6

x = 1

The equation that shoes the pieces of candy each kid would receive is x = 108 / 9.

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

Candy each kid would get = total number of candy / total number of kids

x = 108/9

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To solve this proportion:

[tex]\frac{3}{6} =\frac{7}{d}[/tex]

Simplify 3/6, it reduces to 1/2

[tex]\frac{1}{2} =\frac{7}{d}[/tex]

Then do the Criss cross method

1d = 7 ×2

d=14

Hope it helps!

Answer:

d = 14

Step-by-step explanation:

We can use cross products to solve the proportion

3/6 = 7/d

3*d = 7*6

3d = 42

Divide each side by 3

3d/3 = 42/3

d = 14

Making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

The total time it takes Marjorie and Blaine to perform their respective tasks in building a chair is multiplied by 10 chairs, respectively.  This time is known as their speed.

The resulting figures are summed to get the total time.

The total time it takes Marjorie to build a chair is 15 hours (1.5 hours x 10)

The total time it takes Baline to sew cushions per chair is 400 minutes (40 x 10) or 6 hours and 40 minutes.

Therefore, the total time to build 10 chairs is 21 hours, 40 minutes (15 hours + 6 hours and 40 minutes).

Thus, making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

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The cyclist that will come to stop first when the brake is applied, is the cyclist with lesser mass which is Cyclist B because of its lesser inertia.

The law of inertia states that an object at rest or uniform motion in a straight line will continue in that path unless acted upon by an external force.

Inertia depends on mass of the object, the more massive an object is, the more reluctant it will be to stop and vice versa.

Thus, the cyclist that will come to stop first when the brake is applied, is the cyclist with lesser mass which is Cyclist B because of its lesser inertia.

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The graph shows the solution to inequality is; y > ¹/₃x - 2

From the given graph, we see that the line joining the two dotted coordinates is a dashed line and as such the inequality will be less than or greater than.

Now, If a line passing through two points, then the equation of line is;

y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)

Using the two given coordinates, we have;

y - (-3) = [(-1 - (-3))/(3 - (-3))](x - (-3))

y + 3 = (2/6)(x + 3)

y = ¹/₃x - 2

Since the related line is dashed and the shaded region is above the line, therefore the sign of inequality is >.

The graph shows the solution to inequality is;

y > ¹/₃x - 2

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The geometric terms which best describe each part of this tennis court are:

In Geometry, there are various geometric terms and these include the following:

In this context, we can logically deduce that the geometric terms which best describe each part of this tennis court are:

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Answer:

a. plane

b. angle

c. line segment

d. plane

e. vertex or angle

Step-by-step explanation:

This is the CORRECT answer

Answer:

Hence we prefer the distributive method when multiplying trinomial by a binomial.

Step-by-step explanation:

Explanation

The diagonals of parallelogram RYUF each measure 24 units.

An equation is an expression that shows the relationship between two or more numbers and variables.

Diagonals of parallelogram are congruent and bisect each other.

Point N is the intersection point of the diagonals of parallelogram RYFU. Hence, RF is the diagonal and N is the midpoint:

2 * NF = RF

2(2x + 2) = 7x - 11

x = 5

RF = 7(5) - 11 = 24

The diagonals of parallelogram RYUF each measure 24 units.

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Answer:

9

Step-by-step explanation:

it’s clear that a ,b and c are in geometric progression.

Then we have :

a

b = q×a

c = q²×a

also , b² = a×c

………………………

NOTE : b² and b have the same factors

also ,since b² = a×c then b and a×c

have the same number of factors.

_______________________________

Since c = q²×a then any factor of a is also a factor of c

Which means the number of factors of a×c

is equal to the number of factors of c.

Therefore b at most has the same number of factors as c.

Conclusion:

at most b has 9 factors.

……………………

As a side note :

You can take as example the numbers 3 , 30 , 300.

3 ——-> 1 factor

30 = 3×5×2 ——-> 3 factors

300 = 3 × 5² × 2² ——-> 3 factors

The height of the cone is 4√2  inches.

The circumference of the base of each cone will be the arc length of one of the sectors  

= 2 [tex]\pi[/tex] (6)  / 3  

=  4 [tex]\pi[/tex]  inches

So, the radius, r, of each cone (in inches) is given  by :

4pi  =  2 [tex]\pi[/tex] * r

4  = 2r

2  = r  

Using the Pythagorean Theorem, the cone height, h, is given by :

h  = √[ slant height^2  - radius^2 ]  

=  √ [ 6^2  - 2^2 ]

= √32  

=  4√2  inches

In arithmetic, the Pythagorean theorem, or Pythagoras' theorem, is a essential relation in Euclidean geometry a few of the three facets of a right triangle. It states that the vicinity of the square whose facet is the hypotenuse is identical to the sum of the regions of the squares on the other two facets.

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Answer:

15

Step-by-step explanation:

180-150 = 30

30 = 3x-15

45 = 3x

x = 15

Factorize the quadratic.

[tex]2x^2 + 5x + 3 = (2x + 3) (x + 1)[/tex]

We have [tex]|ab| = |a||b|[/tex], so

[tex]|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0[/tex]

Now, both [tex]|2x+3|\ge0[/tex] and [tex]|x+1|\ge0[/tex] (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

[tex](2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1[/tex]

So the solution to the inequality is the set

[tex]\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}[/tex]

Step-by-step explanation

Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)

18=2(4+x) first multiply 2 into 4+x

18=8+2x then subtract 8 from the other side

10=2x divide both sides by 2

x=5

Best of luck <3

Answer:

Step-by-step explanation:

Comment

Start with the algebraic expression. Always do that x cubed means x^3 power or x * x * x.

Answer x^3 + 6

Answer:

y is x

Step-by-step explanation:

l don't know step by step explanation

Answer:

D

Step-by-step explanation:

you can use the slope intercept form: y = mx + b.

y = y cooordinate

m = slope

x = x coordinate

b = y intercept

the y intercept is 4.

the point (1, 7) is what we're going to use.

so the new equation is

7 = m + 4 (it would be 1m, but i rewrote it to be mathmatically correct)

subtract 4 from both sides, you should have 3 = m.

the slope is 3

Considering the situation described, the zeros of the function are given by:

C. 0, 2, and 4.

The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.

In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.

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Answer:

8 cars :)

Step-by-step explanation:

1 car: 1 driver + 4 students = 5 people total

We must divide to solve :)

38/5 = 7 cars with 3 without a car.

Sine there is a remainder we will need 1 ore car so 8 cars altogether :)

Have an amazing day!!

Please rate and mark brainliest!!

The function in the given graph obtained from the y and x-intercept is the option;

[tex]y = cot \left( \frac{3}{4} \cdot \left(x - \frac{\pi}{6} \right)\right)[/tex]

From the given graph, we have;

Similarly;

The above relationship corresponds with the following function;

[tex]y = cot \left( \frac{3}{4} \cdot \left(x - \frac{\pi}{6} \right)\right)[/tex]

The function graphed is therefore;

[tex]y = cot \left( \frac{3}{4} \cdot \left(x - \frac{\pi}{6} \right)\right)[/tex]

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The coordinates of the vertices of the translated triangle are A'(x, y) = (1, 8), B'(x, y) = (2, 6) and C'(x, y) = (- 1, 6).

Graphically speaking, triangles can be generated by knowing its three vertices. In this question we must apply a kind of rigid transformation known as translation, whose formula is:

P'(x, y) = P(x, y) + T(x, y)     (1)

Where:

If we know that A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2) and T(x, y) = (-2, 4), then the new coordinates are:

A'(x, y) = (3, 4) + (- 2, 4)

A'(x, y) = (1, 8)

B'(x, y) = (4, 2) + (- 2, 4)

B'(x, y) = (2, 6)

C'(x, y) = (1, 2) + (- 2, 4)

C'(x, y) = (- 1, 6)

The statement presents typing mistakes, correct form is:

Translate the triangle with the vector <- 2, 4>, then enter the new coordinates:

Original coordinates - A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2).

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The slope of the line is 1

to find the slope its rise (y value)/run (x value); the equation is

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

plugging the values from the graph into the equation:

[tex] \frac{4 - 2}{4 - 2} [/tex]

which simplifies to simply 1

The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.

According to the statement

I have 10 starting cards, from Ace to 10, and 4 suits,

and by this way we get the 40 subsets and because of these subsets there is a probability becomes 40.

So, The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.

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Answer: y=0,5x²-x-1,5.

Step-by-step explanation:

[tex](-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2) \ \ \ \ y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \ \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right \\[/tex]

We summarize (1) and (3):

[tex]2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.[/tex]

Substitute b=-1 into (2):

[tex]9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\[/tex]

From (5) subtract (4):

[tex]8a=4\ |:8\\a=0,5.\ \ \ \ \Rightarrow\\[/tex]

Substitute a=0,5 into (4):

[tex]0,5+c=-1\\c=-1,5.[/tex]

Hense:

y=0,5x²-x-1,5.

Answer:

Step-by-step explanation: