Three softball players discussed their batting averages after a game.


Probability
Player 1 six tenths
Player 2 five ninths
Player 3 four sevenths


Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)

Answer:

400

Step-by-step explanation:

Car A costs 80d + 0.25m, where d is days and m is miles. Car B costs 100d + 0.10m. If you plug in 3 for d and make the equations equal, you get 240 + 0.25m = 300 + 0.10m. Combining like terms gives you 0.15m = 60, and dividing gives you m = 400.

Using the inequality concept, the expression which models the maximum number of days in which she can rent the car is 80x + 15 ≤ 300

The inequality which represents the number of days Can be expressed thus :

(Charge per day × number of days) + (charge per mile × number of miles) ≤ 300

Hence, the required inequality expression is 80x + 15 ≤ 300

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The inequality to discover the values of x for which the rectangle's perimeter is under 112 is x<  26.

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

given

perimeter of a rectangle = length + length + width + width

length + length + width + width = perimeter of a rectangle

(x +4) + (x+4) + x + x < 112

x + 4 + x + 4 + x + x < 112

4x + 8 < 112

4x < 104

x < 26

So ,The inequality to discover the values of x for which the rectangle's perimeter is under 112 is x<  26.

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The temperature has decreased by 4 degrees Celsius.

We have a temperature change from 3 degrees below zero at midnight to 7 degrees below zero at 2 a.m.

We have to determine how much did the temperature decrease.

A temperature of x degrees below zero means that the temperature of an area is equal to = - x degrees i.e., T = 0 - x = - x.

According to question -

Initial Temperature T(i) = 0 - 3 = - 3 degrees

Final temperature T(f) = 0 - 7 = - 7 degrees

Change in temperature ΔT = T(f) - T(i) = -7 - (-3) = -7 + 3 = - 4

Hence, the temperature has decreased by 4 degrees Celsius.

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So I have 5 and 3 notes each

You need to use simultaneous equations to solve this problem since there are 2 variables.

50x + 100y = 550 (value of the notes x the number of each note)

x + y = 8 (the number of each note added).

Multiply the second equation by 50 so that it the x variables are the same in both equations. Thus, 50x + 50y = 400.

Subtract 50x + 50y = 400 from 50x + 100y = 550.

The subtraction results in 50y = 150.

Divide by 50. y = 3, so x must equal 5.

So I have 5 and 3 notes each

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Answer:

you answer would be F: Point W

In a double number line diagram, equal ratios are represented by two parallel number lines. On both number lines, the tick marks are in the same places. Though the other numbers are frequently varied, the tick marks labeled with 0 always line up.

According to question:-

How much more garlic powder than salt is in the triple batch?

Answer: 6 teaspoons of garlic powder - 15 teaspoons of salt = -9 teaspoons. So there is 9 teaspoons less garlic powder than salt in the triple batch.

How much spice mix is in the triple batch?

Answer: 6 teaspoons of garlic powder + 15 teaspoons of salt = 21 teaspoons of spice mix.

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Answer:

$1,591.67

Step-by-step explanation:

The computation of the balance after 5 years is shown below:

Given that

Accumulated Balance on Credit Card = P = $2,300

r = Monthly interest amount = 17% ÷ 12 = 1.41666667%

M = Minimum payment = 2%

Now  

Balance on Credit Card after t year = P × (1+r) ×(1-M)

= $2,300 × (1+1.41666667%)^t × (1 - 2%)^t

= $2,300 × (0.993883337)^t

SO,

Balance on Credit Card after 5 years is

= $2,300 × (0.993883337)^60

= $2,300 × 0.692029437

= $1,591.66771

= $1,591.67

Fencing that Luke and Seth did each buy is 72 feet

Using the information given, you can set up and solve the system of equations. Let x be the length of Seth's garden.

Seth's garden is square, so it has four times the perimeter.

The perimeter of Luke's garden is a rectangle of length x + 3 feet and width x/2 feet, so 2(x + 3) + 2(x/2).

We also know that Luke and Seth should buy the same amount of fences. So:

4x = 2(x + 3) + 2(x/2)

Solving this equation for x gives x = 6 feet.

So Seth's yardage is 6 feet and Luke's yardage is 9 feet.

So the fence required for Seth's garden is 46 = 24 feet

and the fence required for Luke's garden is 2(9) + 2(9/2) = 29 + 2*4.5 = 36 + 9 = 45 It's feet.

So the total fencing required is 24 + 45 = 72 feet.

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Answer:

Min:7

Q1:11

Med:13

Q3:14

Max:17

Step-by-step explanation:

Hope the picture helps. :)

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Consider two triangles ABC and XYZ, if ∠ A = ∠X and ∠C = ∠Z then

ΔABC ~ΔXYZ.

If, two triangles ΔABC and ΔXYZ are similar only if,

i)∠A =∠X, ∠B =∠Y and ∠C=∠Z

ii)AB/XY=BC/YZ=AC/XZ

"AAA" means "Angle, Angle, Angle" when we know all three angles of a triangle, but no sides.

If two triangles have their corresponding angles equal if and only if their corresponding sides are proportional.

An AAA triangle is a triangle where only the three angles are defined:

α + β + γ = 180°

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Answer:

i depends on what the equation is.

Answer:

?  We don't see any graphs to choose from

Step-by-step explanation:

[tex]y>\frac{1}{2}x-1[/tex]  Graph a dotted line (to show it's not included) with y-intercept 1 and slope 1/2.  Test the origin (0, 0) in the inequality:

[tex]0 > \frac{1}{2}0 - 1 = -1[/tex]  This is true, so shade the side of the line that the origin is on (above the line).

Next inequality...

[tex]y \le x+1[/tex]  Graph a solid line with y=intercept 1 and slope 1.  Test the origin.

[tex]0 \le 0+1=1[/tex]  True! Shade the side of the line the origin is on (below the line).  See image2, attached.

[tex]y>-2x-1[/tex]  Graph a dotted line with y-intercept -1 and slope -2.  Test the origin (0, 0).

[tex]0>-2(0)-1=-1[/tex]  True, so shade the side the origin is on (above the line).

The solutions are located where all the shadings intersect.  See image3.  The solutions are above the red line, above the green line and below the blue line.

Answer:

A.) weak positive correlation

The person above just wanted to steal points.

Step-by-step explanation:

Answer:

The correct answer is a weak positive correlation

or

A

Step-by-step explanation:

Answer:

1. The answer is 40 degrees

2. Adjacent angles are sometimes congruent.

3. UPR is vertical to TPQ

4. The answer is 132 Degrees

Answer: 3√13

Step-by-step explanation:

To find the length of AC we need to use the Pythagorean theorem.

Which is AC^2 = BC^2 + AB^2

AC^2 = 6^2 + 9^2

AC^2 = 36 + 81

AC^2 = 117

AC = √117

The dimensions of the bulletin board could be as follows:

length = 5 ft.

width = 3 ft.

[tex]A = l\times w[/tex]

where, 'l' represents the length of the rectangle

and 'w' represents the width of the rectangle

"If multiplying two whole numbers gives us a number, then the numbers we are multiplying are the factors of the product number."

For given example,

An area of the rectangular bulletin board is 15 sq. ft.

⇒ A = 15 sq. ft.

⇒ l × w = 15

Given that, the width and length of the bulletin board are whole

numbers.

Factors of 15 are,

15 = 5 × 3

15 = 15 × 1

From given figure we can say that he could use the dimension 5 ft. × 3 ft. for the bulletin board.

This means, the length of the bulletin board could be 5 ft. and the width  could be 3 ft.

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SAS congruence theorem should be used.

Option (B) is correct.

What is the SAS congruence theorem?

In Euclidean geometry, the SAS congruence theorem states that if two triangles have two sides of one triangle congruent (equal in length) to two sides of the other triangle, and the included angle is congruent, then the triangles are congruent. This theorem is often abbreviated as SAS, and is used in combination with other congruence theorems, such as ASA and SSS, to prove that triangles are congruent.

In the given picture, we can say both triangles has the same side of length 7 and along with it, one more side is of equal length.

and both triangles are having the right-angle,

so we can say that we can prove these triangles congruent by using SAS congruence theorem.

Hence, SAS congruence theorem should be used.

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The amount of money that the business will receipt is $44.

given:

Small business makes bottles of lemonade today they have 528 oz of lemonade to the bottle each bottle holds 24 oz of lemonade they sell each bottle for $2 how much money will the business receipt

From the above question:

24oz of Lemonade = 1 bottle

528 oz of Lemonade = x

Cross Multiply

24 × x = 528

x = 528/24

x = 22 bottles

We are told that: they sell each bottle for $2

Hence:

1 bottle = $2

22 bottles = y

Cross Multiply

y = 22 × $2

y = $44

Therefore, the amount of money that the business will receipt = $44

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Based on the information provided, Qamar will have enough lacquer to cover the floor and 24 square feet will be left over.

Based on the information given, Qamar has 600 square feet.

To calculate the total lacquer Qamar needs, it is necessary to calculate the area of the floor that has to be covered. In the case of a parallelogram, the area can be calculated using the following formula:

Now, if the total of material available is 600 feet, it can be concluded there is enough material to cover this floor. Let's calculate the lacquer left over:

Note: This question is incomplete; here is the missing information:

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Answer:

The right solution is "1559".

Step-by-step explanation:

The given values are:

Variance,

[tex]\sigma=\sqrt{5.76}[/tex]

  [tex]=2.40[/tex]

Maximum error,

[tex]M.E=0.1[/tex]

At 90% confidence level,

[tex]\alpha=0.1[/tex]

According to the z-table, the critical value will be:

[tex]Zc=1.645[/tex]

Now,

The sample size will be:

⇒ [tex]n=(Zc\times \frac{\sigma}{E} )^2[/tex]

On substituting the values, we get

⇒    [tex]=(1.645\times \frac{2.4}{0.1} )^2[/tex]

⇒    [tex]=(1.645\times 24)^2[/tex]

⇒    [tex]=(39.48)^2[/tex]

⇒    [tex]=1558.67[/tex]

or,

⇒    [tex]=1559[/tex]

Answer:

Step-by-step explanation:

the value of the 4 in 6.14 is 0.04.

this is because the 4, or in this case 0.04

is in the hundredths place. So it is

suppose to have 0, where the 6 goes (also

the ones or units) The decimal point, another 0

where the 1 goes, ( the tenths) and finally back

to the 4. (Like I said, it’s the hundredths place)

so there you have it. Your answer will be 0.04

The nature of roots of quadratic equation 5x² = 4x - 1 is imaginary roots.

The standard form of a quadratic equation is:

ax² + bx + c = 0

The discriminant is defined as:

D = b² - 4ac

Using  the value of discriminant, we can determine the nature of roots of a quadratic equation.

If:

D > 0, the quadratic equation has two distinct real roots or the roots are real and distinct.

D = 0, the quadratic equation has 1 real equal roots or the roots are unique

D < 0, the quadratic equation has complex conjugate roots or the roots are imaginary.

In this case, the quadratic equation is:

5x² = 4x - 1

transform it into the standard form:

5x² - 4x + 1 = 0

Calculate the discriminant:

D = (-4)²  - 4 (5)(1)

  = 16 - 20 = -4

Since D < 0, the roots are imaginary.

Your question is incomplete, but most probably your question was:

What is the nature of roots of quadratic equation 5x² = 4x - 1?

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Area of the convex polygon whose vertices are the centroids of these 7 triangles is 184.

What is a convex polygon?

A polygon that forms the edge of a convex set is said to be convex polygon. This indicates that the union of the interior and the boundary of the polygon has the line segment connecting two points of the polygon.

Given,

 AB = CD = EF = GH = 10

 BC = DE = FG = HA = 11

 Triangles of side length 6,8,10 is cut from corners 23×27 rectangle.

Using the above information, we marked the position of A,B,C,D,E,F,G,H and J, taking the upper left corner of rectangle as origin.

The centroid of a triangle can be found using the formula,

 Centroid = [tex](\frac{x_{1} + x_{2}+x_{3}}{3} , \frac{y_{1} +y_{2}+y_{3}}{3})[/tex]

For ΔJAB,

[tex]C_{1}[/tex] = (8/3 , -35/6)

For ΔJBC,

[tex]C_{2}[/tex] = ( 9 , -23/6)

For ΔJCD,

[tex]C_{3}[/tex] = ( 46/3, -35/6)

For ΔJDE,

[tex]C_{4}[/tex] = ( 18 , -23/2)

Area of convex polygon = [tex]\frac{1}{2} [x_{1} y_{2} + x_{2}y_{3}+.........+x_{n}y_{1}] - [y_{1}x_{2}+y_{2}x_{3}+......+y_{n}x_{1}][/tex]

From figure we find the area of C₁C₂C₃C₄C₈, where C₈ = (8/3 , -23/2)

Area =

[tex]\frac{1}{2} [8/3 (-23/6 )+ 9(-35/6)+46/3(-23/2)+18(-23/2)+8/3(-35/6)] - [(-35/9)9+(-23/6)46/3+(-35/6)18+(-23/2)8/3+(-23/2)8/3][/tex]

= 184 / 2

Therefore total area of convex polygon = 2 × 184/2 = 184 sq. units

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The distance of the ball thrown is 67 ft. approx.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here θ=63 and length of the field as 60 and let d be the distance

∴ Cos (180-63-90)=60/d

                  d        = 60/cos(27)

                   d       = 67 (approx)

Hence, The distance of the ball thrown is 67 ft. approx.

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Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 3 times of the time, increased.

Given,

A snail is moving away from a rock.

The equation d=3t represents the relationship between the distance, d , in inches that the snail is from the rock and time, t, in minutes.

The number '3' is constant term, which basically represents the the distance covered by the snail, in terms of time or, the rate of increment of distance is terms of time.

Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 1/3 of the time, increased.

For example if the snail is moving for 1 unit time, the t will be considered as 1. so, the d will be 3*1 = 3, i.e. 3 unit distance will be covered by the snail in 1 unit time.

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The direction cosines of a vector are the cosines of the angles between the vector and the three mutually perpendicular axes of a coordinate system.

The direction cosines of a vector [tex]$\mathbf{a}$[/tex] are denoted by l, m and n. Mathematically, the relation between these direction cosines is given by:

[tex]$$\mathbf{a}=l\mathbf{\hat{i}}+m\mathbf{\hat{j}}+n\mathbf{\hat{k}}$$[/tex]

where i,j and k  are unit vectors along the three axes of the coordinate system.

To calculate the direction cosines of a given vector [tex]$\mathbf{a}$[/tex] with components [tex]$a_x$, $a_y$ and $a_z$[/tex], we can use the following formula:

[tex]$$l = \frac{a_x}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]

[tex]$$m = \frac{a_y}{\sqrt{a_x^2+a_y^2+a_z^2}}$$ \\ $$n = \frac{a_z}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]

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