What is
(6.8) ( - 1.3)

Answer:

Thomas had the better year relative to their​ peers.

Step-by-step explanation:

The complete question is: One year Thomas had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 3.31. ​Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.02. For the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539. Find their respective​ z-scores. Which player had the better year relative to their​ peers, or ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

We are given that for the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539.

As, we know that the z-score is calculated by the following formula;

                                 Z  =  \(\frac{X-\mu}{\sigma}\) ~ N(0,1)

where, \(\mu\) = population mean

           \(\sigma\) = standard deviation

Now, firstly we will calculate the z score for Thomas;

z-score = \(\frac{X-\mu}{\sigma}\)

            = \(\frac{3.31-4.837}{0.541}\)  = -2.823

{Here, the mean ERA for the males was 4.837 and the standard deviation was 0.541}

Similarly, we will calculate the z score for Karla;

z-score = \(\frac{X-\mu}{\sigma}\)

            = \(\frac{3.02-4.533}{0.539}\)  = -2.807

{Here, the mean ERA for the females was 4.533 and the standard deviation was 0.539}

Now, it is stated in the question that the lower the​ ERA, the better the​ pitcher.

So, we can clearly see that Thomas had a lower ERA of z-score as -2.823 < -2.807. This means that Thomas had the better year relative to their​ peers.

Answer:

The slope is

\( - \frac{3}{2} \)

Step-by-step explanation:

Remember:

\(Slope = \frac{y_2 - y_1}{x_2 - x_1} \)

All we have to do is plug the points in.

\(Slope = \frac{ - 7 - ( - 1)}{5 - 1} = \frac{ - 6}{4} = - \frac{ 3}{2} \)

Therefore, your slope is

\( - \frac{3}{2} \)

Answer:

Step-by-step explanation:

f(x) = |x|       that is the function of the graph shown

To graph g(x) = |x| + 4, simply draw f(x) = |x| but with the vertex moved up the y axis to (0,4).

The domain of g(x) is the same as the domain of f(x).

The range of g(x) is the range of f(x) + 4

The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

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Answer:

Step-by-step explanation:

Well Coefficent means its by it self with is called a constant. A coffecient is a number used to mulitpy a varable

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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(a) The area of a trapezium is given by the formula:

Area = (1/2) × sum of parallel sides × distance between them

Substituting the given values, we get:

10 = (1/2) × (AB + DC) × h

where h is the perpendicular distance between AB and DC.

We can express h in terms of AB and DC using the Pythagorean theorem, since AD is the height of the right triangle ACD:

AD² + h² = DC²

(x - 1)² + h² = (x + 3)²

x² - 2x + 1 + h² = x² + 6x + 9

h² = 8x + 8

Substituting this value of h² in the equation for the area, we get:

10 = (1/2) × (AB + DC) × (sqrt(8x + 8) / sqrt(1))

10 = (1/2) × (AB + DC) × sqrt(8x + 8)

Substituting the given values of AB and DC in terms of x, we get:

10 = (1/2) × ((3x + 2) + (x + 3)) × sqrt(8x + 8)

10 = (2x + 5) × sqrt(8x + 8)

(2x + 5)² × (8x + 8) = 100

(2x + 5)² × 2(x + 1) = 25

4x² + 4x + 25 = 25

4x² + x - 25 = 0

(b) We can solve the quadratic equation 4x² + x - 25 = 0 using the quadratic formula:

x = [-b ± sqrt(b² - 4ac)] / 2a

where a = 4, b = 1, and c = -25.

Substituting the values, we get:

x = [-1 ± sqrt(1² - 4(4)(-25))] / 2(4)

x = [-1 ± sqrt(401)] / 8

x = (-1 ± 20.025) / 8

x = -3.128 or x = 1.628

Since the length of a side cannot be negative, we reject the negative value of x and take x = 1.628.

Substituting this value of x in the expression for AB, we get:

AB = 3x + 2 = 3(1.628) + 2 = 7.884 ≈ 7.88 cm

Therefore, the length of AB is approximately 7.88 cm, correct to 2 significant figures.

Answer:

Step-by-step explanation:

| x + 5 | = x + 5

x + 5 ≥ 0 ⇒ x ∈ [ - 5 , ∞ )

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

Answer:

Ayo boys it a, c, and d

Step-by-step explanation:

Answer: a,b,c

Step-by-step explanation:

Answer:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

\(2x+x-11+3-7x=15\\3x-8-7x=15\\-4x-8=15\\-4x=23\\x=-\frac{23}{4}\)

Answer:

D. x = -23/4

Step-by-step explanation:

2x+x-11+3-7x= 15

Combine like terms

2x + x - 7x -11 + 3 = 15

= -4x - 8 = 15

= - 4x = 15 + 8

= -4x = 23

= x = -23/4

Therefore x = -23/4

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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Considering a line of best-fit, the approximate number of hours in 72 days on Saturn is given by 768.

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are:

(266.67, 25), (373.3, 35), (426.67, 40), (586.67, 55).

Using a calculator, the equation is:

y = 0.09375x + 0.00003455.

For 72 days, we have that y = 72, hence the number of hours is x.

y = 0.09375x + 0.00003455.

72 = 0.09375x + 0.00003455.

x = (72 - 0.00003455)/0.09375

x = 768 hours.

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The value of angle LAF in the intersecting chords is determined as  104⁰.

The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

m∠LAF = ¹/₂ (arc LF + arc YS)

From the diagram, we have arc LF = 160⁰ and YS = 48⁰

m∠LAF = ¹/₂ (160 + 48)

m∠LAF = 104⁰

Thus, the value of angle LAF is calculated by applying intersecting chord theorem.

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Answer:

0.41

Step-by-step explanation:

p (A) = 0.2

P (B) =?

P (A or B) = 0.61

but P (A or B) = P (A) + P (B)

therefore P(B) = P (A or B) - P(B)

= 0.61 - 0.2

= 0.41

The equation connecting z and p is:

z = x + (1/p)

To find z when p = 6, we can use the values of x and y when p = 2 and p = 4 to calculate the corresponding value of z when p = 6.

When p = 2, x = 4 and y = 1, so z = 5

When p = 4, x = 16 and y = 0.25, so z = 16.25

Therefore, when p = 6, x = 36 and y = 0.167, so z = 36.167

The straight line has the equation, y = 5x - 4.

A straight line is made up of an infinite number of points that are joined on both sides of the point.

Any straight line's slope 'm' is given by:

m = y2 - y1 / x2 - x1

In slope-intercept form, a linear equation has the formula y = mx + b. The variables in the equation are X and Y. The values m and b represent the slope (m) of the line and the value of y when x = 0.

The obtained points from the graph are (0,-4) and (1,1)

The slope is ,

m = 1-(-4) / 1-0

   = 5/1

   = 5

Because it intersects the y-axis at the point where the intercept C = -4,

The line's equation will be:

⇒ y = mx + c

⇒ y = 5x + (-4)

⇒ y = 5x - 4

As a result, the equation for the straight line shown below is y = 5x - 4.

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Answer:

(a) 218.6 N

(b) 97.14 N

Step-by-step explanation:

When the system is in equilibrium, the net torque on the system is zero.

AC = 1.5 m, CD = 2.3 m, DB = 5 - 1.5 - 2.3 = 1.2 m

Let the centre of gravity of plank is at G.

AG = 2.5 m, CG = 2.5 - 1.5 = 1 m, GB = 2.5 m

(a) Let the reaction at C is R and at D is R'.

R + R' = 29 x 9.8 = 284.2 N ... (1)

Take the torque about C.

29 x 9.8 x CG = R' x GD

29 x 9.8 x 1 = R' x 1.3

R' = 218.6 N

(b) Take the torque about D.

6 x 9.8 x AD = R x CD

6 x 9.8 x (1.5 + 2.3) = R x 2.3

R = 97.14 N

The value of x is 30 degrees as it is a complimentary angle. When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.

Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.

Reflex angles are those that are larger than 180 degrees and less than 360 degrees. So 270 degrees is a reflex angle.

Since it is a right angle triangle,

hence

\((2x+1)+29=90\\2x+1=61\\2x=60\\x=30\)

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The answer is:

g(x + 1) = 6x + 1

g(4x) = 24x -5

Work/explanation:

To evaluate, I plug in x + 1 into the function:

\(\sf{g(x)=6x-5}\)

\(\sf{g(x+1)=6(x+1)-5}\)

Simplify

\(\sf{g(x+1)=6x+6-5}\)

\(\sf{g(x+1)=6x+1}\)

------------------

Do the same thing with g(4x)

\(\sf{g(4x)=6(4x)-5}\)

\(\sf{g(4x)=24x-5}\)

Hence, these are the answers.

Answer:

Step-by-step explanation:

A point (x,y) is a solution to an equation if plugging in x and y results in a true statement. ... So, the point (1,2) does satisfy the equation y=2x.. Is (1,0) a solution of the equation y=2x? A point is a solution to an equation if plugging in x and y results in a true statement.

Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The least value of n is 4,

Inequality representation = ?

It is known that,

Least value  of n is 4

So, Minimum possible value of n is 4

Maximum value of n should be more than 4,

In order to satisfy the condition,

So,

n  > 4

By combining both the things,

It can be written as,

n ≥ 4

Hence, the best inequality representation is n ≥ 4

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Answer:

B? I think its b. Im not completely sure tho

Step-by-step explanation:

The F ratio is 1.2.

What is statistic?

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

30/25 = 1.2

In an ANOVA, this statistic is used in the F test to test the hypothesis that the group means are not equal to one another. The F ratio is calculated as follows:

Fobs=MSB/MSW

30/25 = 1.2

Where MSB is the mean square between the groups and MSW is the mean square within the groups.

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Answer:

A would be the answer this is because we need to fit 125 book in shelves that fit 25 books so it would be division

Answer: the answer would be a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

because the Minimum is 20

the Maximum is 31

the median is 23

20, 21, 22, 23, 25, 27,  31,

21, 22, 23, 25, 27

22, 23, 25,

23

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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The correct option is option d

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