Based on lofftings research the probability a tp ranked baseball player is left handed is 1 in 3How many lefties would you expect in a group of 15 top ranked baseball players.

Answer:

$3.58

Step-by-step explanation:

Because we know that the 2 lbs of bananas will be purchased at the same rate, the price per pound for 5 lbs of bananas is proportional to the price per pound for 2 lbs of bananas.

Thus, we can solve for price, p of 2 lbs of bananas by setting up a proportion:

[tex]\frac{8.95}{5}=\frac{p}{2}\\ \\ 17.90=5p\\\\3.58=p[/tex]

Answer:

[tex]B. y=-1/4x+6.[/tex]

Step-by-step explanation:

The line perpendicular to the line y = 4x + 5 would need a slope of -1/4.

The slope of any perpendicular line multiplied by the original line must equal -1. Therefore, only answer B works.

Answer:

B

Step-by-step explanation:

The given line is a slope -intercept form

  y = mx + b     m is the slope

   for this line slope = 4

PERPENDICULAR slope is  - 1/m  = = -  1/4   <====you just have to LEARN this!

Answer B has slope = - 1/4

The 58th percentile of the lengths is 489.4 mm.

The 58th percentile of the lengths is calculated from normal distribution curve as shown below.

The mean of the distribution is at the 50th percentile.

The 58th percentile is between the mean and 1 standard deviation above the mean.

Mean (50%) = 480 mm

58% = ?

1 standard deviation above the mean (84%)= M + S.D = 480 mm + 40 mm = 520 mm

We are going to interpolate, to find the approximate value of the length.

50 ----- 480 mm

58 ----- ?

84 ------- 520 mm

(58 - 50)/(84 - 50) = (x - 480)/(520 - 480)

0.235(40) = x - 480

9.4 = x - 480

x = 489.4 mm

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The areas of the figures are 36 square units & 9 square units and the scale factor of dilation is 1/2

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

The composite figures

The areas of the figure is calculated using the sum of the individual areas

So, we have

Figure 1 = Rectangle + Triangle

Using the area formulas, we have

Figure 1 = 5 * 4 + 1/2 * 8 * 4

Evaluate

Figure 1 = 36

The second figure is not clear

However, from the question text we have the area to be

Figure 2 = 9

So, the scale factor from figure 1 to 2 is

Scale factor = √[Figure 2/Figure 1]

This gives

Scale factor = √[9/36]

Evaluate

Scale factor = 1/2

Hence, the scale factor is 1/2

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Answer: 1 over 6

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

6:4 = 1,5 which means he grades 1 paper per 1,5 minute. 60:1,5 = 40 papers

Answer:

1.

a) 3 cubes

b) 5 cubes

c) 15 cubes

d) 45 cubes

2.

a) 2 cubes

b) 4 cubes

c) 8 cubes

d) 8 , 1/8

Step-by-step explanation:

1.

a) 3 cubes because 1.5/0.5=3

b) 5 cubes because 2.5/0.5=5

c) 15 cubes because 5x3=15

d) 45 cubes because the height 1.5/0.5=3 so 3x15=45

2.

a) 2 cubes beacuse 1/0.5=2

b) 4 cubes because the lenght is 1/0.5=2

c) 8 cubes because the height is 1/0.5=2 4x2=8

d) 8 , 1/8

Answer:

I think it’s

False

True

True

True

True

False

True

False

The value of the expression is 13. 75

An algebraic expression is described as an expression that is known to consist of certain variables, terms, their coefficients, factors and also their constants.

Algebraic expressions are also known to be made up of some arithmetic operations such as;

From the information given, we have that;

14 minus 25%

This is represented as;

14 - 25%

Find the percent

14 - 25/100

Divide the values

14 - 0.25

13. 75

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There are numerous concepts in algebra 2 that can be applied in real life scenarios. Some of which are linear equations and quadratic functions. The linear equation, for instance, helps to estimate that the cost i.e. of gas for a trip.

Linear equations can be used in real-life for calculating distances, rates and costs. For instance, during plan for a road trip, it can be used to estimate distance, time it takes to travel, estimated cost of gas etc.

An illustration is when one is planning a road trip from New York to Los Angeles. We can estimate that the distance between the two cities is 2,800 miles and car has average fuel efficiency of 25 miles per gallon.

If gas costs $3.50 per gallon, We can use the linear equation to get the cost of trip which is:

= Distance / Miles per gallon * Price per gallon

= 2,800 / 25 * 3.50

= $392.

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Answer:

-35.7 as a mixed number is -35 and 7/10.

Answer:

Your answer should be [tex]-35 \frac{7}{10}[/tex]

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). Next, add the whole number to the left of the decimal.

Note that:

 a) 1 unit  of   agricultural production required to obtain 1 agricultural product.

b) 200,000 units of agricultural production are required to obtain 1 of agricultural product.

c) 22,727 units of agricultural production are required to obtain 50,000 units of energy.

d) we need 27,825 units of energy to produce 50,000 units of agricultural products.

a) According to the table, the coefficient of production for agriculture is 0.293, that is

0.293 units of agricultural production = a unit of agricultural product.

b) To obtain 200,000 units of agricultural products we say

0.293 x 200,000,=  58,600 units of agricultural production.

c) the coefficient of production for energy with respect to agriculture is 0.044,

that is ,

0.044 units of agricultural production = a unit of energy.

So

50,000 units of energy,=

0.044 by 50,000,

= 2,200 units of agricultural production.

d) To obtain 50,000 units of agricultural products

use the Leontief inverse of the input-output table, which is simply the inverse of the coefficient matrix.

      [ 3.4175  -0.2345  -0.5565 ]

       [-0.1894   4.8264  -0.2114 ]

       [-0.3074   0.1772   4.8324 ]

       [ (3.4175  x0) +   (-0.2345 x 0) + (-0.5565  x 50,000)  ]

       [ (-0.1894   x0) + (4.8264x 0) + (-0.2114  x50,000) ]

       [ (-0.3074   x0) + (0.1772  x0) + (4.8324  x50,000) ]

       [ -27,825 ]

       [ -10,570 ]

       [ 241,620 ]

Thus, we need 27,825 units of energy to produce 50,000 units of agricultural products.

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Result:

The total cost of the jeans and shirts  = 5(x + y)

Let's use variables (x and y) to show the total cost of one pair of jeans and one T-shirt, respectively.

Let x = the cost of one pair of jeans.

Let y = e the cost of one T-shirt.

Given:

Maria bought 3 pairs of jeans and 4 T-shirts, all at the same price. That is:

3x = cost of Maria's jeans

4y = cost of Maria's T-shirts

Joan bought 2 pairs of jeans and 1 T-shirt, all at the same price. That is:

2x = cost of Joan's jeans

y = cost of Joan's T-shirt

To find the total cost of all they bought, add up the costs:

Total cost = Maria's cost + Joan's cost

Total cost = 3x + 4y + 2x + y

Total cost = 5x + 5y

So the total cost is 5 times the sum of the cost of one pair of jeans and one T-shirt.

Simplify the expression by factoring out a common factor of 5, and we get:

Therefore, total cost = 5(x + y)

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The probability that fewer than 30% of the rolls result in a two is given as follows:

0.3085 = 30.85%.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

2 out of the six faces are two, and there will be 50 trials, thus the parameters n and p are given as follows:

n = 50, p = 2/6 = 1/3 = 0.3333.

The mean and the standard error are given as follows:

The probability that fewer than 30% of the rolls result in a two is the p-value of Z when X = 0.3, hence:

Z = (0.3 - 0.3333)/0.0667

Z = -0.5

Z = -0.5 has a p-value of 0.3085.

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Surface area of a rectangular prism is 136 sq. units.

Length of the base of prism, l = 4 units

Breadth of the base of prism, b = 3 units

Height of the base of prism, h = 8

Surface area of a rectangular prism is given as,

SA = 2(lb + bh + lh)

SA = 2[(4 x 3) + (3 x 8) + (4 x 8)

SA = 136 sq. units

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Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

The cost of shelving Nathaniel’s DVD collection is 15.75×27=$425.25.

We are given that;

Dimensions =7.5in, 5.3in, 0.6in

To find the cost of shelving Nathaniel’s DVD collection, we need to find how many shelves he needs and multiply that by the price of each shelf. To find how many shelves he needs, we need to find how many DVDs can fit on one shelf and divide that by the total number of DVDs.

Since the shelves are 31.5 inches wide and the DVDs are 5.3 inches wide, we can fit 5.331.5​≈5.94 DVDs on one shelf. We round this down to 5 DVDs per shelf because we cannot fit a partial DVD on a shelf.

Since Nathaniel has 132 DVDs in his collection, he needs 5132​=26.4 shelves. We round this up to 27 shelves because we cannot use a partial shelf.

Therefore, by algebra the answer will be 15.75×27=$425.25.

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a. A translation on a coordinate plane involves moving every point on the plane a certain distance in a particular direction without distrupting their orientation. The shape and size of the figure do not change, only that the position shifts.

b. If the translation is moving 3 units to the right, it is affecting the x-coordinate. Basically, the x-coordinate of each point on the plane is increased by 3 units, while the y-coordinate remains the same.

c. If the translation is moving 8 units down, it is affecting the y-coordinate. Basically, the y-coordinate of each point on the plane is decreased by 8 units, while the x-coordinate remains the same.

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The value of P(A∩B) rounding to the nearest thousandth, if necessary is:  0.086

The parameters given are:

P(A) = 0.12

P(B) = 0.3

P(A ∪ B) = 0.334

We want to find the probability P(A∩B)

The P(A∪B) probability formula is given as:

P(A∪B) = P(A) + P(B) - P(A∩B)

where:

P(A) is Probability of event A happening

P(B) is Probability of event B happening

P(A∩B) is Probability of happening of both A and B.

Thus:

0.334 = 0.12 + 0.3 - P(A∩B)

P(A∩B) = 0.12 + 0.3 - 0.334

P(A∩B) = 0.086

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The bearing of the cruise ship displacement from its initial position is 15.06°, which makes the second option correct

Bearing is usually measured in degrees, with 0° indicating the reference direction (usually North), and increasing clockwise to 360°. It refers to the direction or angle between a reference direction and a point or object.

We will get a right triangle from travels of the ship, such that we can call the initial position A, the point after 8 miles B and the point after 30 miles C

angle B = 30° + 60° = 90°

AB = 8

BC = 30

by Pythagoras rule;

AC = √(8² + 30²) = 31.04

using sine rule;

30/sinA = 31.04/sin90

A = sin⁻¹[(30 × sin90)/31.04]

A = 75.06°

bearing from initial position = (30° + 75.06°) - 90°

bearing from initial position = 105.06 - 90°

bearing from initial position = 15.06°

Therefore, the bearing of the cruise ship displacement from its initial position is 15.06°

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0≤x≤6 best describes the domain of the function.

The domain of a function describes the set of all possible input values.

In this case, the input variable is x, which represents the time in hours.

Since the horse runs for 6 hours, it is not possible for x to be greater than 6.

Additionally, x cannot be negative or zero, since time cannot be negative or zero.

Therefore, the domain of the function is 0 ≤ x ≤ 6.

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Answer:

Step-by-step explanation:

You want to know the number of hours Liz worked at each job, when the total pay for a total of 28 hours work was $175.80. Job A paid $6 per hour, and job B paid $6.60 per hour.

We can let 'b' represent the number of hours worked at job B. Then (28-b) is the number of hours worked at job A. Liz's total pay was ...

  6(28 -b) +6.60(b) = 175.80

Simplifying the equation gives ...

  0.60b +168.00 = 175.80

  0.60b = 7.80 . . . . . . . . . . . subtract 168

  b = 13 . . . . . . . . . . . . . . divide by 0.6

  28-b = 28-13 = 15 . . . hours at Job A

Liz worked 15 hours at Job A, and 13 hours at Job B.

__

Additional comment

Here, we used one equation. If you use two equations, you can get this same equation by substituting for the variable representing hours at Job A. Letting the variable represent hours at the higher-paying job generally results in arithmetic using positive numbers. If you write the equation for the hours at Job A, negative numbers will usually be involved. Though it shouldn't, sometimes that causes confusion.

A graphing calculator may offer two or three ways (or more) you use to can solve the equations. One of them is illustrated in the attachment. It solves the equations ...

The solution to the system of equations, y = 2x -1 and y = x + 3 is: x = 4 and y = 7.

Given the system of equations as:

y = 2x - 1 ---> eqn. 1

y = x + 3 --> eqn. 2

Substitute y for (x + 3) into equation 1:

x + 3 = 2x - 1

Combine like terms:

x - 2x = -3 - 1

-x = -4

x = 4

Substitute x = 4 into equation 1:

y = 4 + 3

y = 7

The solution is: x = 4 and y = 7.

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The simplified expression for h(x) is h(x) =  4 log₂(x) - 4.

Given information:

f(x) = (log₂(x) + 2) and g(x) = (log₂(x³) - 6)

h(x) = f(x) + g(x) = (log₂(x) + 2) + (log₂(x³) - 6)

Using the rules of logarithms, we can simplify g(x) as follows:

g(x) = log₂(x³) - 6

= 3 log₂(x) - 6.

Now we can substitute this into the expression for h(x):

h(x) = (log₂(x) + 2) + 3 log₂(x) - 6

= 4 log₂(x) - 4

Therefore, the simplified expression for h(x) is h(x) =  4 log₂(x) - 4.

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Answer:

70%

Step-by-step explanation:

63 / (63+27)

63 / 90 = 0.7

Turn 0.7 into a fraction, 70 under 100

Then rewrite the fraction 70 under 100 to 70%

The complete proof to show that ∠HIJ ≅ ∠EFG is:

Statement                                         Reason

FG ⊥ EF                                             Given

HI ⊥ IJ                                                Given

m ∠EFG = 90°                                    Definition of perpendicular lines  

m ∠HIJ = 90°                                     Definition of perpendicular lines

∠HIJ ≅ ∠EFG                                    Substitution property

From the question, we to prove that the given angles are congruent.

The given angles are ∠HIJ and ∠EFG

To prove that angle HIJ is congruent to angle EFG we will complete the given table.

The given table is

Statement                                         Reason

FG ⊥ EF                                             Given

HI ⊥ IJ                                                Given

m ∠EFG = 90°                                    Definition of perpendicular lines  

m ∠HIJ = 90°                                     Definition of perpendicular lines

Now, we will complete the proof by adding the last statement and its reason

Statement                                         Reason

FG ⊥ EF                                             Given

HI ⊥ IJ                                                Given

m ∠EFG = 90°                                    Definition of perpendicular lines  

m ∠HIJ = 90°                                     Definition of perpendicular lines

∠HIJ ≅ ∠EFG                                    Substitution property

Hence,

We have completed the proof by using the substitution property

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The equation r²cos²(θ) - 2rcos(θ) + r²sin²(θ) = 8 to rectangular form is (x - 1)² + y² = 9

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

r²cos²(θ) - 2rcos(θ) + r²sin²(θ) = 8

The above equation is in its polar form, where

r² = x² + y²

cos(θ) = x/r

sin(θ) = y/r

Rearrange the terms in r²cos²(θ) - 2rcos(θ) + r²sin²(θ) = 8

So, we have

r²cos²(θ)  + r²sin²(θ) - 2rcos(θ) = 8

Factorize

r²(cos²(θ)  + sin²(θ)) - 2rcos(θ) = 8

In trigonometry

cos²(θ)  + sin²(θ) = 1

So, we have

r² - 2rcos(θ) = 8

Recall that

r² = x² + y²

cos(θ) = x/r

So, we have

x² + y² - 2r * x/r = 8

Evaluate

x² + y² - 2x = 8

Rearrange

x²  - 2x + y² = 8

Express as perfect squares

(x - 1)² + y² = 8 + 1

So, we have

(x - 1)² + y² = 9

Hence, the equation to rectangular form is (x - 1)² + y² = 9

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The given reflection transformation is a rigid transformation, such that the dimensions are preserved

The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;

AB = RS

ΔABC ≅ ΔRST

m∠BAC ≅ m∠SRT

Reasons:

The given parameters are;

Triangle ΔABC is reflected across the line y = 2·x

Given that a reflection is a rigid transformation, we have;

The distance between two points on a preimage is the same as the distance between the corresponding points on the image;

Therefore;

ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;

AB ≅ RS, BC ≅ ST, and AC ≅ RT

m∠BAC ≅ m∠SRT

m∠BCA ≅ m∠STR

m∠BAC ≅ m∠SRT

Therefore;

The true statements are;

AB = RS

ΔABC ≅ ΔRST

Therefore;

m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRST

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complete question:

Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.

Question 3 options:

AB=RS

AB=2RS

ΔABC~ΔRST

△ABC≅ΔRST

m∠BAC=m∠SRT

m∠BAC=2m∠SRT

The number of solutions of the system of equations in this problem is given as follows:

Infinitely many solutions.

The system of equations for this problem is defined as follows:

Writing the second equation in standard format like the second, we have that:

x/3 + y = -2.

Multiplying by 3:

x + 3y = -6.

The two equations are equal, meaning that the system has an infinite number of solutions, and the two equations are the same on the graph.

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The error in this derivation in step 3 will be cos2(x) – 1 – cos2(x) should be cos2(x) – 1 + cos2(x).

The trigonometric identities are given as,

sin²x + cos²x = 1

cos 2x = cos²x - sin²x

A 2-column table with 4 rows.

Column 1                      Column 2

    1                      cos 2x = cos²x – sin²x

   2                                  = cos²x – (1 – cos²x)

   3                                  = cos²x – 1 – cos²x

   4                                  = 2 cos²x – 1

The error in this derivation in step 3 will be cos2(x) – 1 – cos2(x) should be cos2(x) – 1 + cos2(x).

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