A sports statistician was interested in the relationship between game attendance (in thousands) and the number of
wins for baseball teams. Information was collected on several teams and was used to obtain the regression
equation ŷ = 4.9x + 15.2, where x represents the attendance (in thousands) and ŷ is the predicted number of wins.
What is the predicted number of wins for a team that has an attendance of 2,100?
25.49 wins
31.92 wins
36.82 wins
10,305.2 wins

Answer:

1) x = 7

2) x = 4

3) x = 1/9

Step-by-step explanation:

1) 3x +6 = 27

        -6     -6           Subtract 6 to both sides

   3x = 21                Then divide both sides by 3

     x = 7

2) 6x +3 = 27

         -3      -3         Subtract 3 to both sides

   6x = 24               Then divide both sides by 6

     x = 4

3) 27x +3 = 6

           -3   -3          Subtract 3 to both sides

   27x = 3                Then divide both sides by 27

       x = 3/27            Reduce

       x = 1/9

Answer:

x = 16 and x = 15

Step-by-step explanation:

Given 2 chords intersecting then the product of the parts of one chord is equal to the product of the parts of the other chord.

(3)

7x = 14 × 8 = 112 ( divide both sides by 7 )

x = 16

(1)

8x = 12 × 10 = 120 ( divide both sides by 8 )

x = 15

The variable that you would have to plot on the y axis (height) is the dependent variable while the variable that is on the x axis (arm span) is the independent or the explanatory variable.

The slope was gotten through the use of the points  (37,39) and (19,25)

This gave the slope of 7/9. This tells us that  height of the person got to be raised by 7/9 inches when arm span increases by 1 inch.

From the given model, a person that has the arm span of 66 would have the height of

12 + 7/9 * 66

= 63.3 inches

A person who is  74 inches height the arm span of = 62*9/7

= 79. 71 inches.

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Answer:

\(-\frac{22}{91} = x\)

Step-by-step explanation:

To solve the equation \(3x - 23 = 94x - 1\), we'll follow these steps:

Start by simplifying the equation by combining like terms. In this case, we have terms with x on both sides, as well as constants:

\(3x - 23 = 94x - 1\)

To isolate the x terms, we can subtract 3x from both sides of the equation:

\(3x - 3x - 23 = 94x - 3x - 1\)

Simplifying further, we get:

\(-23 = 91x - 1\)

Next, we want to isolate the constant term on one side of the equation. We can do this by adding 1 to both sides:

\(-23 + 1 = 91x - 1 + 1\)

Simplifying further:

\(-22 = 91x\)

Finally, we can solve for x by dividing both sides of the equation by 91:

\(-\frac{22}{91}=\frac{91x}{91}\)

Simplifying further:

\(-\frac{22}{91} = x\)

Therefore, the solution to the equation \(3x - 23 = 94x - 1\) is \(-\frac{22}{91} = x\)

Answer:

x + 4y = 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2 ) and (x₂, y₂ ) = (3, 1 )

m = \(\frac{1-2}{3-(-1)}\) = \(\frac{-1}{3+1}\) = - \(\frac{1}{4}\) , then

y = - \(\frac{1}{4}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 2 )

2 = \(\frac{1}{4}\) + c ⇒ c = 2 - \(\frac{1}{4}\) = 1 \(\frac{3}{4}\) = \(\frac{7}{4}\)

y = - \(\frac{1}{4}\)x + \(\frac{7}{4}\) ← in slope- intercept form

multiply through by 4 to clear the fractions

4y = - x + 7 ( add x to both sides )

x + 4y = 7 ← equation in standard form

equation of line in two point form is needed here.

Answer:

hiii yall hi have a good day

Step-by-step explanation:

god bless you all and the answer is ........2 (sry I'm not sure)

Answer:

.

Step-by-step explanation:

p

Answer:

240,000

Step-by-step explanation:

have a nice day

The most common error when entering a formula is to reference the wrong cell in the formula.

This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.

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Answer:

Part A:

Variable x = change in profit per month

8x = 7200

Part B:

$900 loss per month

Step-by-step explanation:

Part A:

Within 8 months, the company loses $7200. To show a change in profit per month we have to multiply change by 8 months to equal $7200. Since we do not know what the change per month is, we can represent it as a variable. In this case, I will use x.

Variable x = change in profit per month

8x = 7200

Part B:

Solve for the expression we created in part A

8x = 7200

Isolate the variable x by dividing both sides by 8

8x ÷ 8 = 7200 ÷ 8

x = 900

$900 loss per month

From this point, we would need additional information or values to determine the constants C and C2 and compute the position function s(t) accurately.

a) To find the position function, s(t), we need to integrate the given acceleration function, a(t), twice.

Given:

a(t) = t^2 - 9t + 5

s(0) = 0 (initial position)

s(1) = 20 (position at t = 1)

First, we integrate a(t) to find the velocity function, v(t):

v(t) = ∫a(t) dt

v(t) = ∫(t^2 - 9t + 5) dt

v(t) = (1/3)t^3 - (9/2)t^2 + 5t + C1

Next, we integrate v(t) to find the position function, s(t):

s(t) = ∫v(t) dt

s(t) = ∫[(1/3)t^3 - (9/2)t^2 + 5t + C1] dt

s(t) = (1/12)t^4 - (3/2)t^3 + (5/2)t^2 + C1t + C2

To find the constants C1 and C2, we use the initial conditions:

s(0) = 0, which implies C2 = 0

s(1) = 20, which implies (1/12) - (3/2) + (5/2) + C1 = 20

Simplifying the equation:

(-17/12) + C1 = 20

C1 = 20 + (17/12)

C1 = 40/3

Now we have the complete position function:

s(t) = (1/12)t^4 - (3/2)t^3 + (5/2)t^2 + (40/3)t

b) Given:

v(t) = 1.5√t

s(4) = 17 (position at t = 4)

To find the position function, s(t), we integrate the velocity function, v(t).

v(t) = ∫1.5√t dt

v(t) = 1.5 * (2/3)t^(3/2) + C

v(t) = t^(3/2) + C

To find the constant C, we use the initial condition:

s(4) = 17

s(t) = ∫v(t) dt

s(t) = ∫(t^(3/2) + C) dt

s(t) = (2/5)t^(5/2) + Ct + C2

s(4) = (2/5)(4)^(5/2) + C(4) + C2 = 17

Simplifying the equation:

(2/5)(32) + 4C + C2 = 17

(64/5) + 4C + C2 = 17

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Answer:

a. Find the measure of each central angle.

The central angle of a circle = 360 °

Now Pie is cut into 10 equal sectors

Angle of each sector is given by

Angle of sector = Total central angle/number of sectors

\( = {360}^{0} \div 10\)

\( = {36}^{0} \)

Hence , the central angle of one slice of pie is 36°

b. If the diameter is 50 in., find the length of an arc of one of the sectors.

length of an arc of one of the sectors =

\( = \frac{1}{n} \times 2\pi \times r\)

\(= \frac{1}{10} \times 2\ \frac{22}{7} \times 50\)

\( = 31.42 \: in\)

Answer: 36 degrees

Step-by-step explanation:

A circle is 360 degrees.

If you divide 360 degrees by 10, (10 sectors) you get 36.

The answer is therefore 36 degrees. (don't forget your labels!!!)

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

The total distance between his house and the school is (2 + 5/8)km

We know that Ryan rides (2 + 3/8) km and then walks (1/4) km, to get the total distance we need to add these two distances.

We will get:

total distance = (2 + 3/8) km + (1/4) km

We need to have the same denominator in both fractions, then we can write the second as:

total distance = (2 + 3/8) km + (1/4) km = (2 + 3/8) km + (2/8) km

total distance = (2 + 3/8 + 2/8) km = (2 + 5/8)km

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Answer:

The answer is

(x-5)(x+5)

Solution: C

Explanation:

Use the cosine rule

A^2=B^2+C^2-2BCcos a

5^2=8^2+8^2-2×8×8cos a

cos a=(25-64-64)÷(-2×64)

a=36.419°

approx = 36

Using the Fundamental Counting Theorem, it is found that there are 1000 possible numbers that Lina could pick.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Hence the number of combinations is given by:

N = 5 x 4 x 10 x 5 = 1000

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Answer:

D

Step-by-step explanation:

base area = (6 · 4)/2 = 24/2 = 12 cm²

half base length = 6 : 2 = 3 cm

leg = \(\sqrt{3^2+4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\) cm

perimeter = (5·2) + 6 = 10 + 6 = 16 cm

lateral area = 16 · 20 = 320 cm²

surface area = (2 · 12) + 320 = 24 + 320 = 344 cm²

The shear and moment throughout the beam as functions of x are V = ( 30 - 2x ) kip and M = ( - x² + 30 x - 216 ) kip ft for 0 ≤ x ≤ 6 ft and V = 8 kip and M = ( 8 x - 120 ) kip ft for 6 ≤ x ≤ 10 ft

The ability to construct shear force diagrams (SFD) and bending moment diagrams (BMD) is essential for any student studying statics, mechanics of materials, or structural engineering. Both a long and a short route can be used to complete them. The extended method is more thorough and yields formulas for the internal shear and internal bending moments in beams in terms of x: V(x) and M(x), respectively. In introductory statics classes, this is typically the approach required to demonstrate understanding of the situation. The rapid method eliminates the need for calculations in terms of x and instead employs a more visual method that you may use to highlight the crucial areas on the diagrams before simply connecting the dots.

How to solve?

For 0 ≤ x ≤ 6 ft,

∑ Fy = 0

30 - 2 x - V = 0

V = ( 30 - 2x ) kip

∑M = 0

M + 216 + 2 x ( x / 2 ) - 30 x = 0

M = ( - x² + 30 x - 216 ) kip ft

For 6 ≤ x ≤ 10 ft,

∑ Fy = 0

V - 8 = 0

V = 8 kip

∑ M = 0- M - 8 ( 10 - x ) - 40 = 0

M = ( 8 x - 120 ) kip ft

the shear and moment throughout the beam as functions of x are :

V = ( 30 - 2x ) kip and M = ( - x² + 30 x - 216 ) kip ft for 0 ≤ x ≤ 6 ft

V = 8 kip and M = ( 8 x - 120 ) kip ft for 6 ≤ x ≤ 10 ft

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Answer: The measure of Angle A is 46 degrees.

Step-by-step explanation:

Complementary angles are angles that when both added together are equal to 90 degrees. So the measure of angle A plus the measure of angle B is equal to 90 or 3x - 2 + 2x + 12 = 90. Add like terms so you get 5x + 10 = 90. Subtract 10 on both sides you get 5x = 80. Divide by 5 on both sides and you get x = 16. To find the measure of angle A, plug in your x value. So M<A = 3(16) - 2. Ange A is equal to 46. I double checked my answer too and plugged my x value into M<B and got 44. So indeed 44 + 46 = 90.

The larger number could have been before rounding is 4000001.

We know that both numbers were rounded up to the nearest million and added together to get 7000000.

Since one number was less than 3000000 to start with and both numbers were rounded up, the greatest that the smaller number could have been before rounding is 2999999.

We can use the equation:

(x + y) = 7000000

Where x is the smaller number and y is the larger number before rounding.

We know that x < 3000000 and x = 2999999

So we can substitute these values into the equation:

(2999999 + y) = 7000000

Solving for y:

y = 7000000 - 2999999

y = 4000001

So the greatest that the larger number could have been before rounding is 4000001.

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Among the given sets of four numbers, the set with the largest possible standard deviation is c) 0, 0, 10, 10.

The standard deviation is a measure of how spread out the numbers in a dataset are. A larger standard deviation indicates greater variability or dispersion of the data points.

In set a) 7, 8, 9, 10, the numbers are relatively close to each other, resulting in a smaller standard deviation compared to the other sets.

In set b) 5, 5, 5, 5, all the numbers are identical, resulting in no variability and a standard deviation of 0.

In set c) 0, 0, 10, 10, there is a significant difference between the numbers. This difference contributes to a larger spread or dispersion, resulting in a higher standard deviation compared to the other sets. Thus, set c) has the largest possible standard deviation among the given options.

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A                                                because that's the only one  that makes sence

The corner points of the Graph of the inequality -x + y ≥ 2 are (-2, 0), (0, 2)

What is Linear Inequality?

Linear inequalities are mathematical expressions that compare two expressions using the inequality symbol. The expression might be either algebraic or numerical, or a mix of the two. A linear function is any function with a straight line as its graph.

Solution:

We need to plot the graph of the given inquality -x + y ≥ 2

Please refer to the graph attached below

The corner points of the Graph are (-2, 0), (0, 2)

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The question is incomplete

Answer:

D. The other solution to function g is 9 + √2i

Step-by-step explanation:

The roots of a quadratic equation of the form ax² + bx + c = 0

are

\(x = -\dfrac{b}{2a} + \dfrac{\sqrt{b^2-4ac}}{2a}\\and\\x = -\dfrac{b}{2a} - \dfrac{\sqrt{b^2-4ac}}{2a}\\\)

If one of the roots is 9 - √2i then
\(-\dfrac{b}{2a} = 9\)

and

\(\dfrac{\sqrt{b^2-4ac}}{2a} = 2i\)

So if one root is 9 - √2i then the other root must be 9 -+ 2i

This is answer choice D

Answer:

s=  -5

Step-by-step explanation:

have a good day

Answer:

Step-by-step explanation:

subtract 28 on both sides that will cancel the 28

-35 = 7s, divide both sides by 7, this cancels the 7

- 5 = s

s=-5

Answer:

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Step-by-step explanation: