Jace recorded the grade-level and instrument of everyone in the middle
school School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
15
11
11
3
Eighth Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
10
3
12
12
Based on these results, express the probability that an eighth grader chosen at
random will play an instrument other than guitar as a percent to the nearest
whole number.

Answer:

8.32*10^2 or

832.08

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve:

-6n+5<11

-6n<6 (carry over the 5 by subtracting)

n>-1  (put "n" alone divide by -6, because dividing by a negative flip the symbol)

**Don't forget to carry the Negative Symbol on -6n

So, "A" is the answer

Test:

put in point

0>-1 ✔

or ....

-6n+5<11

-6(0)+5<11

5<11✔

So we know the line arrow goes in the positive direction

Answer:a

Step-by-step explanation:

The modelled John's height with an equation is x = 41 - 6 × 2.5.

Given that, the average growth for the height of a boy from age 6 to 12 is 2.5 inches per year. John is 6 years old and is 41 inches tall.

We need to model John's height with an equation.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let John's initial height be x.

Now, an equation = x = 41 - 6 × 2.5

Therefore, the modelled John's height with an equation is x = 41 - 6 × 2.5.

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Answer:

X intercepts: (21,0)

Y intercepts: (0, -15)

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

About \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

Used the concept of correlation coefficient that states,

The proportion of the variation in y that can be explained by the linear relationship between x and y can be determined by squaring the correlation coefficient

Given that,

When paired variables are considered, the linear correlation coefficient is,

\(r=0.897\)

Hence the proportion of the variation in y explained by x is,

\(r^2 = (0.897)^2\)

\(r^2 = 0.804609\)

This means that about \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

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Answer:

There are approximately 82 inches

Step-by-step explanation:

Here, we want to calculate the circumference of the wheel

To do this, we are going to use the formula for the circumference of a circle

C = 2 * pi * r

C = 2 * pi * 13

= 26 * pi

C = 81.7 inches which is approximately 82 inches

Hence, we can learn vital information about the behaviour and shape of a polynomial function's graph by scrutinising its factors and other characteristics.

A polynomial function's factors include crucial details about the function graph. The factors specifically determine the locations where the graph intersects the x-axis, known as the function's roots or x-intercepts. By setting each factor to zero and calculating the associated value of x, these roots can be discovered.

The behaviour and structure of the graph are also influenced by the degree of the polynomial function, the signs of its leading coefficient, and other coefficients. The number of turning points in the graph, for instance, is determined by the degree of the polynomial function, whereas the concavity or convexity of the graph is determined by the leading coefficient and other coefficients' signs.

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Answer:

= 380

Step-by-step explanation:

(38*55) + (-45*38)

(2090) + (-1710)

2090 - 1710

= 380

Answer:

the answer is the last one

Answer:

the answer is D hope this helps

Step-by-step explanation:

You should pay approximately $10,117.09 initially to secure the annuity and receive annual payments of $1500 over the 9-year period.

To find the cost of the annuity, we need to calculate the present value of the future payments. The present value represents the current worth of future cash flows, taking into account the interest earned or charged over time. In this case, we'll calculate the present value of the $1500 payments using compound interest.

The formula to calculate the present value of an annuity is:

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

Where:

PV is the present value of the annuity (the amount you should pay initially)

PMT is the payment amount received annually ($1500 in this case)

r is the interest rate per period (6.28% or 0.0628)

n is the total number of periods (9 years)

Let's substitute the values into the formula:

PV = $1500 × [1 - (1 + 0.0628)⁻⁹] / 0.0628

Calculating this expression:

PV = $1500 × [1 - 1.0628⁻⁹] / 0.0628

PV = $1500 × [1 - 0.575255] / 0.0628

PV = $1500 × 0.424745 / 0.0628

PV ≈ $10117.09

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We have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

For a linear phase filter, the phase response is linearly proportional to the frequency. Let's consider a linear phase filter with a zero at frequency zo. The transfer function of the filter can be expressed as H(z) = A(z - zo), where A is a constant and z represents the complex frequency variable.

To find the zero at zo¹, we need to analyze the filter's transfer function at a frequency offset from zo. Let's substitute z with (z - Δz) in the transfer function, where Δz represents a small frequency offset. The new transfer function becomes H(z - Δz) = A((z - Δz) - zo).

Now, let's evaluate the new transfer function at the frequency zo¹ = zo + Δz. Substituting zo¹ into the transfer function, we have H(zo¹ - Δz) = A((zo¹ - Δz) - zo).

Expanding the equation, we get H(zo¹ - Δz) = A(zo¹ - Δz - zo) = A(zo - zo + Δz - Δz) = A(0) = 0.

Therefore, we have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

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The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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Answer:

D or y=-2x+4

Step-by-step explanation:

In the graph the y intercept is 2.

In y=-2x+4 they y intercept is 4 so this is not represented by the graph.

Answer:

D. y = -2x + 4

Step-by-step explanation:

When setting up the equation in slope-intercept form (y = mx + b), the 'b' variable represents the 'y' value where the line intercepts the y-axis. The 'm' represents the slope, which is the rate of change. If D was the correct answer, then the line would be placed higher up and would have been tilted down more.

Answer:

t=3.5 seconds

Step-by-step explanation:

Given

h(t) = −16t^2 + 111t + 0

h'(t)= -32t + 111

Maximum height occurs when h(t) = 0 and the ball begins to fall

h(t)= -32t + 111=0

-32t + 111=0

-32t=-111

Divide both sides by -32

t=3.46872

Approximately, t=3.5 seconds

Recall,

Maximum height occurs when h(t) = 0

h(t)= -32t + 111=0

= -32(3.46872)+111

= -110.99904+111

= 0.00096 ft

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

a^-4 x 8^14

the solution is C

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

\(P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}\)

Black-Blue:

14 out of 20, then 3 out of 12. So

\(P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}\)

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

\(P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}\)

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

\(P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}\)

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Answer:

8.19

Step-by-step explanation:

8 is greater than five, 8.19 just means that it's 18 but with 0.19 added. 5.35 means its just 5 but with 0.35 added.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

8.19 is greater

Step-by-step explanation:

(a) The permutations can be written as a product of disjoint cycles as follows:
α = (1 5 4 3 2)(6 7 8)
β = (1)(2 3 8 4 7)(5 6)
γ = (1 2 3 5)(4 5 6 8)

(b) The order of each permutation is the least common multiple of the lengths of the disjoint cycles. Therefore:
Order of α = lcm(5, 3) = 15
Order of β = lcm(1, 5, 2) = 10
Order of γ = lcm(4, 4) = 4

(c) The permutations can be written as a product of 2-cycles as follows:
α = (1 2)(2 3)(3 4)(4 5)(5 1)(6 7)(7 8)(8 6)
β = (1 1)(2 3)(3 8)(8 4)(4 7)(7 1)(5 6)(6 5)
γ = (1 2)(2 3)(3 5)(5 1)(4 5)(5 6)(6 8)(8 4)
Since α and β have an even number of 2-cycles, they are even permutations. γ has an odd number of 2-cycles, so it is an odd permutation.

(d) The inverse of each permutation can be found by reversing the order of the elements in each cycle. The inverses can be written as a product of disjoint cycles as follows:
\(α^-1 = (1 2 3 4 5)(6 8 7)β^-1 = (1)(2 7 4 8 3)(5 6)γ^-1 = (1 5 3 2)(4 8 6 5)\)

(e) The products αβ and βα can be found by performing the permutations in the given order. The products can be written as a product of disjoint cycles as follows:
αβ = (1 6 8 4 7 2 3 5)(5 1)
βα = (1 7 4 8 6 5 3 2)(2 1)
The order of αβ is lcm(8, 2) = 8, and the order of βα is lcm(8, 2) = 8.

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Answer:

A

Step-by-step explanation:

For test A, the unit rate is 30 words per minute divided by 4 minutes, or 7.5 words per minute.

Unit rate = 78 words/15 minutes = 5.2 words per minute for test B.

The unit rate for test C is 99 words/22 minutes, or 4.5 words per minute.

Answer:

\(f^{-1}\) (x) = \(\frac{5x}{x-2}\)

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = \(\frac{2x}{x-5}\) ( multiply both sides by x - 5 )

y(x - 5) = 2x ← distribute left side

xy - 5y = 2x ( subtract 2x from both sides )

xy - 2x - 5y = 0 ( add 5y to both sides )

xy - 2x = 5y ← factor out x from each term on the left side )

x(y - 2) - 5y ← divide both sides by y - 2

x = \(\frac{5y}{y-2}\)

Change y back into terms of x with x = \(f^{-1}\) (x) , then

\(f^{-1}\) (x) = \(\frac{5x}{x-2}\)

Look into the image. I hope it helps❤

Based on the given steps, the next step would be: Draw a ray PR from point P through point L and extend it further. The correct option is D.

After drawing the ray PR, you can proceed with the remaining steps to complete the construction.

The reason why we draw a ray PR from P through L is that this will create two angles with the same measure. The measure of an angle is the amount of rotation between its two rays. When we draw a ray from P through L, we are essentially rotating the ray PQ by the same amount that we rotated the ray BA. This means that the two angles will have the same measure.

Once we have drawn the ray PR, we can check to see if the two angles are congruent.

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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The line segment /AB/ would have the length of 18

A triangle with two equal sides is known as an isosceles triangle. In other words, two of the three sides of an isosceles triangle are congruent. The third side, known as the base, is usually longer than the other two sides.

In an isosceles triangle, the angles opposite the congruent sides are also congruent. These angles are referred to as the base angles, while the angle directly across from the base is referred to as the vertex angle.

We know that the base angles of the isosceles triangle are equal as such the two sides are equal in length thus;

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 3

Thus the length/AB/= 6(3) = 18

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The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

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Answer: B

Step-by-step explanation:

Took the test

Answer:

slope intercept form or an linear equation.

To check if those segments are parallel, we can compare the slope of the lines that contain them. To find the slope using two points, we can use the following formula

Using this formula for the segment AB, we have

Now, using this formula for CD

When the slopes are equal, the lines are parallel, if one slope is minus the inverse of the other, they are perpendicular, otherwise they are neither.

Since

They are perpendicular.