2 box plots. The number line goes from 55 to 105. For pitcher 1, the whiskers range from 55 to 105, and the box ranges from 85 to 95. A line divides the box at 94. For pitcher 2, the whiskers range from 71 to 106, and the box ranges from 78 to 102. A line divides the box at 90.
Which pitcher had speeds that were the most consistent?
Pitcher 1, because the median is greater than that of pitcher 2.
Pitcher 2, because the median is greater than that of pitcher 1.
Pitcher 1, because he has the lesser amount of variability in his pitches.
Pitcher 2, because he has the greater amount of variability in his pitches.

Answer:

WDym??

xDStep-by-step explanation:

Answer: Side length E D corresponds to Side length B A because they are in the same position.

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

For each sandwich, spread 2 tablespoons peanut butter onto 1 slice of bread. Spread 1 tablespoon jelly onto another slice of bread.

Heat 12-inch skillet or griddle over medium heat.

Place 2 sandwiches into skillet. Cook, turning once, 4-6 minutes or until golden brown and peanut butter is melted.

Step-by-step explanation:

When Kimberly rolls two six-sided number cubes numbered 1 through 6, it creates 36 possible outcomes which is represent in the tree diagram below

A tree diagram is a visual representation of outcomes. It consists of branches that represent the possible outcomes of each step.

When it comes to Kimberly rolling two six-sided number cubes, we can start by rolling the first cube, and then rolling the second cube.

For each roll of the first cube, there are six possible outcomes (1 to 6). For each outcome of the first cube, there are six possible outcomes for the second cube.

This results in a total of 6 x 6 = 36 possible outcomes.

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The length of the longer diagonal of the parallelogram is approximately 5.1 ft.

We have,

To find the length of the longer diagonal of the parallelogram, we can use the law of cosines.

The law of cosines states that in a triangle with side lengths a, b, and c, and angle C opposite side c, the following equation holds true:

c² = a² + b² - 2ab * cos(C)

In this case, we have side lengths AB = 4 ft and angle A = 30°, and we want to find the length of the longer diagonal.

Let's denote the longer diagonal as d.

Applying the law of cosines, we have:

d² = AB² + AB² - 2(AB)(AB) * cos(D)

d² = 4² + 4² - 2(4)(4) * cos(80°)

d² = 16 + 16 - 32 * cos(80°)

Using a calculator, we can calculate cos(80°) ≈ 0.1736:

d² = 16 + 16 - 32 * 0.1736

d² ≈ 16 + 16 - 5.5552

d² ≈ 26.4448

Taking the square root of both sides, we find:

d ≈ √26.4448

d ≈ 5.1427 ft (rounded to the nearest tenth)

Therefore,

The length of the longer diagonal of the parallelogram is approximately 5.1 ft.

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Answer:

Natasha added 13/24ths more than Dina.

Step-by-step explanation:

By getting common denominators you have 66/48-40/48 then you get 26/48 and you just simplify this by 2 to get 13/24ths.

Love you, hope this helps.

Answer:

3

Step-by-step explanation:

Answer:3

Step-by-step explanation: because half of 6 eggs are need to make 2 loaves so split that in half and you have 3

The degrees of freedom (df) for the regression sum of squares, the error sum of squares, and the total sum of squares can be calculated using the following formula:

df = n - k - 1

where n is the sample size and k is the number of independent variables in the regression model.

Since the model includes 8 independent variables, k = 8. The sample size is given as n = 166.

Therefore, the degrees of freedom for the regression sum of squares, the error sum of squares, and the total sum of squares are:

df for the regression sum of squares = k = 8

df for the error sum of squares = n - k - 1 = 166 - 8 - 1 = 157

df for the total sum of squares = n - 1 = 166 - 1 = 165

Hence, the degrees of freedom for the regression sum of squares, the error sum of squares, and the total sum of squares are 8, 157, and 165, respectively

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Step-by-step explanation:

FCP fundamental counting principle :

in total there are

3×3×2 = 18

different combinations

listing method means listing all different triplets of such outfit combinations.

white shirt = ws

red blouse = rb

floral shirt = fs

short = sh

jeans = j

jogger pants = jp

shoes = s

sandals = sa

{

(ws, sh, s),

(ws, sh, sa),

(ws, j, s),

(ws, j, sa),

(ws, jp, s),

(ws, jp, sa),

(rb, sh, s),

(rb, sh, sa),

(rb, j, s),

(rb, j, sa),

(rb, jp, s),

(rb, jp, sa),

(fs, sh, s),

(fs, sh, sa),

(fs, j, s),

(fs, j, sa),

(fs, jp, s),

(fs, jp, sa)

}

tree diagram (I cannot draw here) :

OOTD

/ | \

ws rb fs

/ | \ / | \ / | \

sh j jp sh j jp sh j jp

/ | / | / | / | / \ / | / | / | / |

s sa s sa s sa s sa s sa s sa s sa s sa s sa

as you can see, we get a expected 18 different triplets in our listed set, and we get 18 different end leaves in and therefore 3-level paths through our tree.

The tip of the shadow is moving at  \(4.8\frac{ft}{sec}\)

Consider the image , as depicted below

Based on similar triangle , we have

\(\frac{s(t)}{6} =\frac{s(t)+w(t)}{16}\)

⇒ 10s(t) = 6w(t)

⇒ w(t) = \(\frac{10}{6} s(t)\)

we are told that a certain time t,

\(\frac{d(w(t))}{dt} = 8\frac{ft}{sec}\)

\(\frac{d(w(t))}{dt} = \frac{d(\frac{10}{6}.s(t)) }{dt}\)

          \(= \frac{10}{6}\frac{d(s(t))}{dt}\)

Therefore,

\(\frac{10}{6} \frac{d(s(t))}{dt} = 8\frac{ft}{sec}\)

\(\frac{d(s(t))}{dt} = 4.8\frac{ft}{sec}\)

Hence, The tip of the shadow is moving at  \(4.8\frac{ft}{sec}\)

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The vertex of the equation is (1, -1).

The equation of a parabola in vertex form is,

y = a(x-h)² + k

The coordinates of the vertex are (h,k) respectively and a is a constant.

Given:

y =  x² - 2x

Rearrange the given equation in the form of the equation of the parabola in vertex form using the method of completing the square.

y = (x² - 2x + 1) - 1

y = (x - 1)² - 1

Therefore, the vertex of the equation is (1, -1).

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To solve the algebraic expression, add or subtract the variables with same power of variable.

The result of the given problem after simplifying is,

\(y=7m+n-6\)

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

To solve the algebraic expression, add or subtract the variables with same power of variable.

Given information-

The given numbers are,

\(Q=7m+3n\\R=11-2m\\S=n+5\\T=-3-3n\)

All the four number given in the form of unknown number \(m\) and \(n\).

The result, need to be find is,

\(R-S+T+M\)

Let the result of above expression is \(y\). Thus,

\(y=R-S+T+M\)

Put the values to solve it further,

\(y=(7m+3n)-(11-2m)+(n+5)+(-m-3n)\)

Solve it further by open the bracket as,

\(y=7m+3n-11+2m+n+5-m-3n\\y=7m+2m-m+3n+n-3n-11+5\\y=7m+n-6\)

Hence the result of the given problem after simplifying is,

\(y=7m+n-6\)

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6. Applying the inscribed angle theorem, x = 33

7. m<ABP = 90°.

m<APB = 48°

The tangent theorem states that the tangent of a circle is perpendicular to the radius of that circle and therefore forms a right angle at the point of tangency.

An inscribed angle has a measure that is half the measure of the intercepted arc, according to the inscribed angle theorem.

Therefore:

Question 6:

Based on the inscribed angle theorem,

Measure of arc AB = 2(x + 3) = 2x + 6

108 + 2x + 6 = 180 [semicircle]

Solve for x

114 + 2x = 180

2x = 180 - 114

2x = 66

x = 33

Question 7:

Given that line PB is tangent to circle A, therefore, based on the tangent theorem, the measure of angle ABP = 90°.

m<APB = 180 - 90 - 42

m<APB = 48°

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The probability that the second dice lands on an even number given that the first one landed on an odd number is 1/2 or 0.5.

Step-by-Step Explanation:Let A be the event that the first dice rolls an odd number, and let B be the event that the second dice rolls an even number. We want to find P(B|A), which is the probability of B given A. This can be found using the formula:P(B|A) = P(A and B) / P(A) We know that P(A) = 1/2, as half the numbers on a six-sided dice are odd.

To find P(A and B), we need to find the probability that both dice roll the desired numbers simultaneously. Since we know that the first dice rolled an odd number, only half of the numbers are possible for the second dice to be even. Therefore, P(A and B) = 1/2 x 1/2 = 1/4. So:P(B|A) = P(A and B) / P(A) = (1/4) / (1/2) = 1/2 or 0.5. Therefore, the probability that the second dice lands on an even number given that the first one landed on an odd number is 1/2 or 0.5.

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The length of the curve r = 4θ², 0≤θ≤2√3, is 38.786 units.

To find the length of the curve, we can use the formula for arc length:
\(L = \int_{a}^{b}\sqrt{(1 + (dy/dx)^2)} dx\)

In this case, we have the polar equation r = 4θ², which we can convert to Cartesian coordinates using x = r cos(θ) and y = r sin(θ):

x = 4θ² cos(θ)
y = 4θ² sin(θ)

To find dy/dx, we can use the chain rule:

dy/dx = (dy/dθ)/(dx/dθ)

= (4θ² cos(θ) + 8θ sin(θ))/(8θ cos(θ) - 4θ² sin(θ))

Simplifying this expression, we get:

dy/dx =(4θ) (θ cos(θ) + 2 sin(θ))/(2 cos(θ) - θ sin(θ))

Now we can substitute this expression and the expression for x into the arc length formula:
\(L = \int_{0}^{2\sqrt{3}}\sqrt{(1 + ((4\theta)(\theta cos(\theta) + 2sin(\theta))/(2cos(\theta) - \theta sin(\theta)))^2)} d\theta\)

This integral is difficult to solve analytically, so we can use numerical methods to approximate the value. Using a calculator or computer program, we get:

L ≈ 38.786

So the length of the curve is approximately 38.786 units.

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Answer:

m∠ABD = 88°, m∠CBD = 23°

Step-by-step explanation:

m∠ABD + m∠CBD = m∠ABC = 111°

(-10x + 58) + (6x + 41) = 111

-4x + 99 = 111

-4x = 12

x = -3

m∠ ABD = -10(-3) + 58 = 88°

m∠CBD = 6(-3) + 41 = 23°

Answer:

Step-by-step explanation:

X= -3

Abd = 88 degrees

Cbd = 23 degrees

Set the equation this way and solve:

-10x + 58 + 6x + 41 = 111

-4x + 99 = 111

-4x = 12

X = -3

Answer:

1. 3 x 3 = 9

2. 3 x 1 =3

3. 3 x 0.4 = 1.2

Step-by-step explanation: Hope this helps :)

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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Step-by-step explanation:

3000  ml   /   150 ml/hr =  20 hrs from 0800   would be 0400 the NEXT day.

In triangle $abc$, let angle bisectors $bd$ and $ce$ intersect at $i$. the line through $i$ parallel prove that  $AB < AM < AN < AC$.

To solve this problem,  use the angle bisector theorem and some geometric properties of triangles. Let's begin.

Given: Triangle $ABC$ with angle bisectors $BD$ and $CE$ intersecting at $I$. The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively. Also, $AB < AC$.

to prove: $AB < AM < AN < AC$.

Proof:

Angle Bisector Theorem:

According to the angle bisector theorem,

$frac{BD}{DC} = frac{AB}{AC} quad$ (1)

Parallel Lines:

Since line $MI$ is parallel to $BC$,

$angle MIB = angle IBC quad$ (2)

Angle Bisector Property:

From the angle bisector property,

$frac{AB}{BD} = frac{AC}{DC}quad$ (3)

Combining Equations (2) and (3):

$frac{AB}{BD} = frac{AC}{DC} =frac{AB}{MI} quad$ (4)

Using Equations (1) and (4):

$frac{BD}{DC} = frac{AB}{MI}$

From Equation (5):

$frac{AB}{MI} + 1 = frac{AB}{BD} + 1$

Simplifying Equation (6):

$frac{AB + MI}{MI} = frac{AB + BD}{BD}$

Using Equation (7):

$frac{AM}{MI} = frac{AB}{BD} quad$ (8)

Comparing Equations (1) and (8):

$frac{AB}{AC} = frac{AB}{BD} = frac{AM}{MI}$

Since $AB < AC$, it follows that $frac{AB}{AC} < 1$. Thus, $frac{AM}{MI} < 1$.

From Equation (10),  $AM < MI$.

Using the same logic,  prove $MI < AN$.

Finally, since $AM < MI < AN$, it follows that $AB < AM < AN < AC$, as required.

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Answer:

2 is your answer

Step-by-step explanation:

6x2=12

Answer:

72

Step-by-step explanation:

\( \frac{x}{6} = 12 \\ x = 12 \times 6 \\ x = 72\)

Given the inequalities

(-4 -x)(x+7)(x-3) >0

Step 1: Find the zeros of the polynomials

For (-4 -x)

For (x+7)

For (x-3)

Step 2: Draw the range of values on a number line

Step 3: Construct a table to test the range

The table tests the ranges that were obtained from the number line

column 1 shows the range

The values are then tested for each range.

Column 6 shows the product of all the values gotten

The solution to the polynomial is that which was accepted

Since the inequality sign is that of a greater sign, we will accept those that are positive

Hence the solution is

The volume if the solid generated is 12.32 cubic units.

The volume of the solid generated by revolving the region bounded by the curves y = sin^-1(x/13), x = 0, and y = pi/12 about the y-axis can be calculated using the method of cylindrical shells.

First, we need to find the limits of integration for y. From the equation y = sin^-1(x/13), we can solve for x to get x = 13 sin(y). Since y ranges from 0 to pi/12, we know that x ranges from 0 to 13 sin(pi/12).

Next, we need to find the height of each cylindrical shell. This is simply the difference between the upper and lower curves, which is pi/12 - sin^-1(x/13).

Finally, we integrate the expression for the volume of a cylindrical shell over the range of y to obtain the total volume:

V = ∫[0, pi/12] 2πx(pi/12 - sin^-1(x/13)) dy

V = π/6 ∫[0, pi/12] (13sin(y))^2 (pi/12 - y) dy

V = π/6 ∫[0, pi/12] 169sin^2(y) (pi/12 - y) dy

V = π/6 [169(1/2)(pi/12)^2 - 169∫[0, pi/12] ysin^2(y) dy]

V ≈ 12.32 cubic units

Therefore, the volume of the solid generated by revolving the region bounded by the curves y = sin^-1(x/13), x = 0, and y = pi/12 about the y-axis is approximately 12.32 cubic units.

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Answer:

x=5

y=5

Step-by-step explanation:

y-2=3

3x-2y=5

Let's solve for y in the first equation.

y-2=3

Add 2 to both sides,

y=5

Let's substitute y=5 into the other equation.

3x-2y=5

3x-2*5=5

3x-10=5

Add 10 to both sides,

3x=15

Divide by 5 to both sides,

x=5

Therefore, x and y both equal 5.

Answer:

It is true that the product of a complex number and its conjugate is a real number.

Step-by-step explanation:

You're welcome.

Answer:

True

Step-by-step explanation:

....this is how you 'rationalize' denominators that have complex numbers in them

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6