A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers. 9, 7, 2006. 5, 7. 5, 7, 8, 5, 6, 7. 5, 8 What is the variance of the data set? Round to the nearest hundredths. 0. 40 0. 72 1. 15 2. 14.

Answer:

y=3x−8

Step-by-step explanation:

Answer:

3/8 unit

Step-by-step explanation:

\( \sqrt[3]{ \frac{27}{64} } = \frac{3}{8} \)

Answer:

The length of the cube is 3/4 units.

Step-by-step explanation:

Answer:

d 50.02

Step-by-step explanation:

The factors of 20 are 1,2,4,5,10,20

From the list 2,4,5,10

The factors of 21 are 1,3,7,21.

From thwe list

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

I don't have enough info to help

The given implicit function is 2x^2y+9y^2/x = -6. We can begin by taking the derivative of the right side of this equation with respect to x, dx/d[-6]= 1.By the additive property of the derivative, to find the derivative of the left-hand side of 2x^2y+9y^2/x = -6, we can find the derivative of each term separately.

The first term of the left side of the equation is 2x^2y. Use the product rule to find the derivative of this term with respect to x.

dx/d(2x^2y)=2x^2(dx/dy)+y(4x).

The second term of the left side of the equation is 9y^2/x. Use the product rule again to find the derivative of this term with respect to x.

dx/d(9y^2/x)=(-9y^2/x^2)(dx/dx)+(9/x)(dx/dy).

Therefore, by the additive property of the derivative, the derivative of the left side of the equation is as follows. 2x^2(dy/dx) + 9y^2/(dx/dx) + 9y^2x/ (x^2) = 0.

Implicit differentiation is a procedure that allows you to determine the derivative of a function that has been defined implicitly in terms of an equation. In calculus, the implicit function is a relation between two variables that can be expressed by a general equation, but whose graph may not be a simple function. This is frequently the case for conic sections (such as ellipses, parabolas, and hyperbolas), as well as certain curves. An equation that expresses a relation between x and y is said to be implicit if it is not given in the form of y = f(x). A simple example of an implicit function is x^2 + y^2 = 25, which represents the circle of radius 5 centered at the origin. This equation cannot be written in the form y = f(x), but it does define y implicitly as a function of x.

The derivative of an implicit function can be found using a combination of the chain rule and the product rule, as well as the rules for differentiating inverse functions and logarithmic functions. If we know the equation of an implicit function, we can use implicit differentiation to find its derivative and other related derivatives.

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Answer:

65% so 975 people

Step-by-step explanation:

1500/100=15

15 times 65=975

hope this helps homie :P

Answer:  

a = 1.5  

VW = 9 ft  

Step-by-step explanation:  

Since the tangent lines connect both circles, we know that the line VU and VX are congruent (equal). Thus, we can set them equal to each other and solve for a:

a + 4 = a² + 0.25                            Set equal  

a² - a = 3.75                                    Isolate a values  

a² - a + 0.25 = 3.75 + 0.25            Complete the square  

(a + 0.5)² = 4                                  Factor  

a + 0.5 = 2                                     Simplify  

a = 1.5

Now we need to calculate VW, but thats easy because its equal to TV, and since we know a, we can just plug it in:

((1.5) + 7.5) ft  

9 ft

Answer: A

Step-by-step explanation:

16

Step-by-step explanation:

[34-16-12]

[18-12]

16

The manager must sell 30 computers at a selling price of approximately $710 per computer.

To determine how many computers need to be sold and at what price, let's break down the given information:

The store manager buys several computers of the same model for $12,780.

The store can regain this investment by selling all but 6 of the computers.

The profit per computer is $355.

First, let's calculate the total cost of the computers by subtracting the profit from the initial investment:

Total Cost = Initial Investment - Profit

Total Cost = $12,780 - ($355 × 6)

Total Cost = $12,780 - $2,130

Total Cost = $10,650

Now, let's calculate the number of computers that need to be sold to recover the investment:

Number of Computers to be Sold = Total Cost / Profit per Computer

Number of Computers to be Sold = $10,650 / $355

Number of Computers to be Sold ≈ 30

Therefore, the store manager needs to sell 30 computers to recover the investment.

Next, let's determine the selling price for each computer:

Selling Price per Computer = Cost per Computer + Profit per Computer

Selling Price per Computer = $10,650 / (30 - 6) + $355

Selling Price per Computer ≈ $355 + $355

Selling Price per Computer ≈ $710

Hence, to recover the investment, the manager must sell 30 computers at a selling price of approximately $710 per computer.

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Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

Answer:

Step-by-step explanation:

The sum of all solutions is √13 + (-√13) = 0.

The sum of all solutions is 6 + 8 = 14.

(a) To solve the equation log(x+5) + log₂ (x − 3) = 2, we can combine the logarithms using the logarithmic property logₐ(b) + logₐ(c) = logₐ(b * c). Applying this property, we have:

log₂ ((x+5)(x-3)) = 2

Now, we can rewrite the equation using exponential form:

2² = (x+5)(x-3)

Simplifying further:

4 = x² - 9

Rearranging the equation:

x² = 13

Taking the square root of both sides:

x = ±√13

(b) To solve the equation log₂ (x − 4) + log₂ (10-x) = 3, we can apply the logarithmic property logₐ(b) + logₐ(c) = logₐ(b * c):

log₂ ((x-4)(10-x)) = 3

Rewriting the equation in exponential form:

2³ = (x-4)(10-x)

Simplifying:

8 = -x² + 14x - 40

Rearranging the equation:

x² - 14x + 48 = 0

Factoring the quadratic equation:

(x-6)(x-8) = 0

This gives two possible solutions: x = 6 and x = 8.

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The following is the null and alternate hypothesis:

H₀ = u = 40.1

H₁ = u < 40.1

The null hypothesis should read as follows if we want to test the assertion that the average workweek has decreased:

The claim that there is a decrease in the typical work week should be made in the alternative hypothesis. The genuine mean is smaller than 40.1 can be used to express this.

The null hypothesis should assert that the average work week has not been significantly reduced, which is the opposite of the alternative. This can be expressed mathematically as 40.1 as the genuine mean.

Therefore, The alternative and null hypothesis are then:

H₀ = u = 40.1

H₁ = u < 40.1

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Answer:

(-1,-6)

Step-by-step explanation:

Use substitution

y=x-5

3x-2(x-5)=9

3x-2x+10=9

x=-1

Plug it in

(-1)-y=5

-y=6

y=-6

Answer: JJ watt would catch him at the 33 yard line in 2 seconds since he started at 11 yard line and runs 10 yards every second

Step-by-step explanation:

Can i get brainly?

Answer:

Step-by-step explanation:

2 seconds × (10 yards)/second = 20 yards

11 + 20 = 31

He tackles the receiver at the 31-yard line

Answer:

B,C,E,F,G

Step-by-step explanation:

Answer:

What the first person said (good job btw ur right!)

Step-by-step explanation:

Answer: B. 12

Step-by-step explanation: Expected no. = No. of trials × p

= 40 × 0.3

= 12

Answer:

B.  12

Step-by-step explanation:

Experimental probability is calculated by dividing the number of times an event happens by the total number of trials in an actual experiment.

\(\textsf{Experimental Probability} = \dfrac{\textsf{Number of times an event happens}}{\textsf{Total number of trials}}\)

Given information:

Substitute the given values into the formula:

\(\implies \sf 0.3=\dfrac{\textsf{Number of times Jenson picked an apple}}{40}\)

\(\implies \sf \textsf{Number of times Jenson picked an apple}=0.3 \times 40=12\)

Therefore, Jenson picked an apple 12 times during the 40 trials.

So, the measure of each side is WX = WY = 142 and XY = 199, and x = 46.

A triangle is a basic geometrical shape that has three sides, three angles, and three vertices or corners. It is a two-dimensional polygon that is formed by connecting three-line segments. The sum of the internal angles of a triangle is always 180 degrees. Triangles can have different types of angles and sides, which give rise to different classifications, such as acute, obtuse, right, equilateral, isosceles, and scalene triangles. Triangles are used extensively in mathematics, engineering, and various other fields for their unique properties and characteristics.

by the question.

since triangle WXY is an isosceles triangle with WX bar similar XY bar, this means that the lengths of the sides WX and XY are proportional. Let's call the proportionality constant "k". Then:

WX = k * XY

We also know that triangle WXY is isosceles, which means that the lengths of the sides WX and WY are equal. So we can set up another equation:

\(k * XY = WY\)

Now we can set up an equation using the given side lengths:

\(6x - 77 = 5x - 31\)

Solving for x, we get:

\(x = 46\)

Now we can use this value of x to find the length of each side:

\(WX = 3x + 4 = 3(46) + 4\\\\ = 138 + 4 = 142\\\\XY = 5x - 31 \\\\= 5(46) - 31 = 230 - 31 \\\\= 199\\\\WY = WX = 142\)

So, the measure of each side is WX = WY = 142 and XY = 199, and x = 46.

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Answer:

x = 3.

Step-by-step explanation:

The parabola opens downwards.

it's x = 3 (because of the (x- 3))

Answer:   565 feet

This value is approximate.

===============================================

Explanation:

Imagine you are at the top of the lighthouse, and look straight horizontally outward. Then imagine looking down 23 degrees to spot the boat. This forms the angle of depression.

The adjacent angle complementary to this is 90-23 = 67 degrees. This is the interior angle of the triangle needed, and this angle is at the top of the triangle.

tan(angle) = opposite/adjacent

tan(67) = x/240

x = 240*tan(67)

x = 565.4045677977 approximately

x = 565 feet

The diagram is below.

The interquartile range of the data set is equal to 6.

The interquartile range is a measure of statistical dispersion, or data spread. The IQR is also known as the midspread, middle 50%, or middle 50%.

The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.

Given data set is 2 4 6 8 10 12. The upper range is 8 10 12 and the lower range is 2 4 6.

Calculate the median of the upper range and the lower range and subtract it.

Median upper range = 10

Median lower range = 4

The interquartile range is calculated as,

IQR = 10 - 4 = 6

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Answer:

he owed $4

Step-by-step explanation:

Ben borrowed twenty dollars to spend, and 20 is above 16, so his savings is immediately gone. He owes four dollars because that's how much he needs even after using up his savings.

The diagonal matrix from given elements is

| 16   0    0    0    0  |

|  0  -8.7  0    0    0  |

|  0   0   5.4   0    0  |

|  0   0    0   1.3   0  |

|  0   0    0    0  -6.9 |

A diagonal matrix is a special type of matrix in which all the non-diagonal elements are zero. In other words, only the diagonal elements have non-zero values.

Diagonal matrices are often used in linear algebra because they are easy to work with and have some interesting properties.

In the given problem, we are asked to construct a diagonal matrix using the given elements.

To do this, we simply place the given elements on the diagonal of the matrix, and set all the other elements to zero. The resulting matrix is a 5 x 5 diagonal matrix with the given elements on the diagonal.

Therefore, the matrix is

| 16   0    0    0    0  |

|  0  -8.7  0    0    0  |

|  0   0   5.4   0    0  |

|  0   0    0   1.3   0  |

|  0   0    0    0  -6.9 |

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--The given question is incomplete, the complete question is given below " A diagonal matrix has the elements shown below.

a 11 = 16

a 22=-8.7

a 33= 5.4

a 44= 1.3

a 55=-6.9

CONSTRUCT  the diagonal matrix containing these elements"--

(-4 + 7i)² = 9 + 56i ; Where x + iy is complex form.

To find the square of (-4 + 7i), we can use the formula for squaring a complex number, which states that (a + bi)² = a² + 2abi - b².

In this case, a = -4 and b = 7. Applying the formula, we have:

(-4 + 7i)² = (-4)² + 2(-4)(7i) - (7i)²

= 16 - 56i - 49i²

Since i² is equal to -1, we can substitute -1 for i²:

(-4 + 7i)² = 16 - 56i - 49(-1)

= 16 - 56i + 49

= 65 - 56i

So, (-4 + 7i)² simplifies to 65 - 56i.

If we multiply the result by 4, we get:

4(-4 + 7i)² = 4(65 - 56i)

= 260 - 224i

Therefore, 4(-4 + 7i)² is equal to 260 - 224i.

The square of (-4 + 7i) is 65 - 56i. Multiplying that result by 4 gives us 260 - 224i.

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Hello!

453 millions

= 453 000 000

Answer:

Step-by-step explanation:

Here in all these questions we need to follow the rules of BODMAS which tells us the steps to solve and mathematical operation.

B-Bracket

O-Of

D- Division

M-Multiplication

A-Addition

S-Subtraction

now,

A. 19+(8-25)

we need to solve what's inside the bracket first

so, 8-25= -17

=19+(-17)

=2

B. (-15+6)-(23-18)

=(-9)-5

= -14

C. (154-6)+3-(-9+7)

= 148+3-(-2)

=148+3+2

= 153

D. -13+(5+8)- (-4+8)

= -13+13-4

= -4

E. (-5)-(17+(-13))-((-8) -(+2))

= -5 -(4)-(-10)

= -5-4+10

= 1

F. (12-(-3))-(12-(-3))

= 15-15

=0

G. 15 -(-3-((+12)-16))

= 15-(-3-(-4))

= 15- 1

= 14

That's how we do it try the last one by your self!