A baseball team has three different pitchers. Randy allowed
2
22 runs and pitched
3
33 innings. Felix allowed
4
44 runs and pitched
5
55 innings. Johan allowed
5
55 runs and pitched
7
77 innings.
Which pitcher has the lowest number of runs allowed per inning?

Answers

Answer 1

The pitcher that has the lowest number of runs allowed per inning is Randy.

Which pitcher has the lowest number of runs per inning?

In order to determine the pitcher with the lowest number of runs per innings, divide the number of runs of each player by the number of innings of that player.

Division is the process of determining the quotient of two or more numbers. It is the process of putting a number into equal groups using another number.

Number of runs per innings = number of runs / number of innings

Number of runs per innings for Randy : 2 / 3 = 0.667

Number of runs per innings for Felix : 4 / 5 = 0.80

Number of runs per innings for Johan: 5 / 7= 0.714

Here is the complete question:

A baseball team has three different pitchers. Randy pitched 3 innings and allowed 2 runs, Felix pitched 5 innings and allowed 4 runs, and Johan pitched 7 innings and allowed 5 runs.

Which pitcher has the lowest number of runs allowed per inning?

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Related Questions

The doubling period of a bacterial population is 20 minutes. At time t=120 minutes, the bacterial population was 90000.
What was the initial population at time t=0?
Find the size of the bacterial population after 3 hours.

Answers

The initial population of the bacterial population at time t = 0, can be found to be 1,406.25.

The size of the bacterial population after 3 hours is 720,000.

How to find the bacterial population?

The doubling period of the bacterial population is said to be 20 minutes. The number of doubling periods in 120 minutes is:

= 120 / 20

= 6 doubling periods

The initial population is:

= Population at 120 minutes / 2 ^ number of doubling periods

= 90,000 / 2⁶

= 1,406.25

The bacterial population at 3 hours is:

= Bacterial population at t = 0 x 2 ^ number of doubling periods in 3 hours

= 1,406.25 x 2 ^ (180 minutes in 3 hours / 20)

= 1,406.25 x 2⁹

= 720,000

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For the polynomial below, -1 is a zero.
f(x)=x^3+5x^2+6x+2
Express f(x) as a product of linear factors.

Answers

The product of linear factors for f(x) is given as (x + 1)(x² + 4x + 2) for -1 as a zero of the polynomial x³ + 5x² + 6x + 2.

What is the factor theorem?

The factor theorem states that;

f(x) is divisible by x - a if and only if f(a) = 0

f(x) is divisible by x + a if and only if f(-a) = 0

in both cases, a and -a are the zeros of the polynomials.

From the question, given that -1 is a zero of

f(x) = x³ + 5x² + 6x + 2, then it is divisible by x + 1 and f(-1) = 0.

Dividing x³ + 5x² + 6x + 2 by x + 1 using the long division will result to another factor x² + 4x + 2 with a remainder of zero. (complete long division is attached as a photo!)

Therefore we can then conclude that (x + 1)(x² + 4x - 2) is the product of linear factors for f(x) = x³ + 5x² + 6x + 2 and -1 as a zero.

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If I earn $11 /hr. I worked for 6 and a half hrs yesterday, How much did I earn?

Answers

He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.

Define hours.

An hour (symbol: h; also abbreviated as hr) is a measure of time that is traditionally thought of as one-fourth of a day and that, according to science, lasts between 3,599 and 3,601 seconds, depending on how quickly the Earth rotates. There are 24 hours in a day and 60 minutes in an hour. 60 minutes is one of the 24 equally spaced out segments of a day.

Given,

Earns $11/hr

Worked for 6 hours and 30 minutes

Multiplying:

$11 × 6.5 hours

$ 71.5

He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.

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Write an equation of the line that passes through each pair of points.(5, −2), (7, −1)

Answers

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{5}}} \implies \cfrac{-1 +2}{2} \implies \cfrac{ 1 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ \cfrac{1 }{ 2 }}(x-\stackrel{x_1}{5}) \implies y +2 = \cfrac{1 }{ 2 } ( x -5) \\\\\\ y+2=\cfrac{1 }{ 2 }x-\cfrac{5 }{ 2 }\implies y=\cfrac{1 }{ 2 }x-\cfrac{5 }{ 2 }-2\implies {\Large \begin{array}{llll} y=\cfrac{1 }{ 2 }x-\cfrac{9}{2} \end{array}}[/tex]

Answer:

y=1/2x-9/2

Step-by-step explanation:

First you want to find the slope by doing -2-(-1)/5-7

Therefore the slope is 1/2

Next you want to add in any set of points, either (5, -2) or (7, -1)

Substitute the x- point in place of x and the y in place of y in y=1/2x+b

Once you do this you should get -2=1/2(5)+b

You should get -2=2 1/2+b

Then subtract 2 1/2 from -2

You should get -4 1/2

Once you have the slope and y- intercept you can put together your problem

y=1/2x-4 1/2

don't forget to convert, y=1/2x-9/2

Hope this helps  

Ben is one Year younger than Amara.Write an equation that can be user ti find isabelle’s age i.How old is isabelle

Answers

The Linear equation used is x -y = 1; to find the age of Isabelle's age.

What is Linear Equation?

An equation is said to be linear if the maximum power of the variable is consistent Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present. A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

A linear equation is an algebraic equation in which each term has an exponent of 1, and which, when plotted on a graph, always yields a straight line. It is called a "linear equation" for this reason.

Let the age of Ben be x;

Let the age of Amara be y;

According to the question:

It is given that:

Ben is one year younger than Amara. That means we have to form a linear equation such that Amara is one year older than Ben.

So,

We have assumed the Age of Ben is x;

we have assumed the Age of Amara is y;

So, According to the question,

Framing the linear equation,

x -1 =y;

⇒x -y = 1;

Hence, We can find the age of Isabelle using the linear equation: x -y = 1;

where x is ben's age;

where y is Amara's age.

Therefore, The Linear equation used is x -y = 1; to find the age of Isabelle's age.

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please help meee :((
The system of conics has two solutions.

(x−4)2+(y+1)2=9
(x−4)29+(y+1)281=1

What are the solutions to this system of conics?

Answers

Answer:

(1, -1) and (7, -1)

===============

Given system

(x − 4)² + (y + 1)² = 9(x − 4)² / 9 + (y + 1)² / 81 = 1

Solve it by elimination

Multiply the second equation by 9 and subtract from the first one:

(y + 1)² -  (y + 1)² / 9 = 0(y + 1)²/8 = 0(y + 1)² = 0y + 1 = 0y = - 1

Substitute y and solve for x

(x − 4)² + (-1 + 1)² = 9(x - 4)² = 9x -4 = ± 3x = 4 ± 3x = 1 and x = 7

Answer:

[tex]\left(\; \boxed{1}\:,\boxed{-1}\;\right)\; \textsf{and}\;\left(\; \boxed{7}\:,\boxed{-1}\;\right)[/tex]

Step-by-step explanation:

Given system of conics:

[tex]\begin{cases}(x-4)^2+(y+1)^2=9\\\\\dfrac{(x-4)^2}{9}+\dfrac{(y+1)^2}{81}=1\end{aligned}[/tex]

Multiply the second equation by 81:

[tex]\implies \dfrac{81(x-4)^2}{9}+\dfrac{81(y+1)^2}{81}=81[/tex]

[tex]\implies 9(x-4)^2+(y+1)^2=81[/tex]

Rearrange to make (y + 1)² the subject:

[tex]\implies (y+1)^2=81-9(x-4)^2[/tex]

Substitute into the first equation and simplify:

[tex]\implies (x-4)^2+81-9(x-4)^2=9[/tex]

[tex]\implies -8(x-4)^2=-72[/tex]

[tex]\implies (x-4)^2=9[/tex]

Solve for x:

[tex]\implies \sqrt{ (x-4)^2}=\sqrt{9}[/tex]

[tex]\implies x-4=\pm3[/tex]

[tex]\implies x=4\pm3[/tex]

[tex]\implies x=1, 7[/tex]

Substitute the found values of x into the first equation and solve for y:

[tex]\begin{aligned}x=1 \implies (1-4)^2+(y+1)^2&=9\\(-3)^2+(y+1)^2&=9\\9+(y+1)^2&=9\\(y+1)^2&=0\\y+1&=0\\y&=-1\end{aligned}[/tex]

[tex]\begin{aligned}x=7 \implies (7-4)^2+(y+1)^2&=9\\(3)^2+(y+1)^2&=9\\9+(y+1)^2&=9\\(y+1)^2&=0\\y+1&=0\\y&=-1\end{aligned}[/tex]

Therefore, the solution to the given system of conics is:

(1, -1) and (7, -1)

Isabelle flips a fair coin and rells a fair six-sided dice.
Draw a sample space diagram to show all the possible outcomes.
Work out the probability that she gets an outcome of tails and 2.
Give your answer as a fraction in its simplest form.

Answers

When a six sided dice through with the coin all the possible outcomes  are as follows

H-1 H-2 H-3 H-4 H-5 H-6

T-1 T-2 T-3 T-4 T-5 T-6

Probability that she gets an outcome of tails and 2 = 1 / 12

Isabelle flips a fair coin and rells a fair six-sided dice.

Coin has two face H or T

Dice has six face hat is 1, 2, 3, 4, 5, 6  

When a six sided dice through with the coin all the possible outcomes  are as follows

H-1 H-2 H-3 H-4 H-5 H-6

T-1 T-2 T-3 T-4 T-5 T-6

So there are total 12 outcomes possible when a six sided dice through with the coin.

Probability that she gets an outcome of tails and 2 = event occur / total number of events = 1 / 12

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ABCD is a quadrilateral.
Work out angle x.
Optional working
Answ
4
+
B.
8 cm
A
X
6 cm
D
29%
13 cm
C

Answers

The require angle of x is 52.4°

Given is a quadrilateral

The given diagonal divides the quadrilateral in two parts

the first part is a right angled triangle

Thus to find the side BD

we will use the Pythagoras theorem ;

So according to this theorem

AB² + AD² = BD² [ because BD is the hypotenuse ]

Given AB = 8 cm and AD = 6 cm

8² + 6² = BD²

this implies 64 + 36 = BD²

100 = BD which implies BD = 10 cm

To find x

we know that in triangle BCD

BD = 10 cm and CD = 13 cm

tan theta = [tex]\frac{13}{10}[/tex]

this means theta = [tex]tan^{-1}[/tex] [tex]\frac{13}{10}[/tex]

theta = 52.4°

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Answer:

39.07

use pythagros to find bd then use the sine rule substitute in the values

bd=10

beacuse a²+b²=c²

substitute in 8²+6²=c²

2. Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month until
she is finished. Write and solve a linear equation to Aind the total number of pages written at 5
months.

Answers

Answer:

y = 12x + 35

95 pages

Step-by-step explanation:

Let y represent the total number of pages

Let x represent the total number of months

x = 5 (months)

so..

y = 12(5) + 35

y = 60 + 35

y = 95


ERROR ANALYSIS Describe and correct the error in finding m<1

Answers

Answer:

m∠1 = 26°

Step-by-step explanation:

Interior angles of a triangle sum to 180°, not 360°.

Therefore, the correct calculations to find the measure of angle 1 are:

[tex]\boxed{\begin{aligned}115^{\circ}+39^{\circ}+m \angle 1 &=180^{\circ}\\\\154^{\circ}+m \angle1 & = 180^{\circ}\\\\m \angle1 & = 26^{\circ}\end{aligned}}[/tex]

Select the correct answer. Four figures. Figure 1 shows a right triangle A C B with a line D E parallel to base B C. Figures 2, 3, and 4 shows a triangle A B C with a line D E parallel to base B C. In which figure is ? A. figure 1 B. figure 2 C. figure 3 D. figure 4

Answers

Answer: going to take a wild guess and say figure 2 or figure 4 is correct but I'm going with figure 2

Step-by-step explanation:

Answer: Figure 4

Step-by-step explanation:

I got it right on Edmentum

What is an equation of the line that passes through the point ( − 6 , − 8 ) (−6,−8) and is parallel to the line x − 2 y = 6 x−2y=6?

Answers

An equation of the line that passes through the point (−6,−8) and is parallel to the line x−2y=6 is y=x/2-5.

Given that, an equation of the line that passes through the point (−6,−8) and is parallel to the line x−2y=6.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, the slope of a line parallel to given line is m1=m2.

Here, x−2y=6

⇒ 2y=x-6

⇒ y=x/2-3

So, slope = 1/2

The slope of a line parallel to the given line = 1/2

Now, put m=1/2 and (x, y)=(-6, -8) in y=mx+c and solve for c

-8=1/2(-6)+c

⇒ c=-8+3

⇒ c=-5

Thus, y=x/2-5

Therefore, an equation of the line that passes through the point (−6,−8) and is parallel to the line x−2y=6 is y=x/2-5.

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A sea otter is underwater. Its position below sea level changes by -73.5 ft in 3 minutes. What is the
average change in the otter's position each minute? Is the otter going deeper or toward the surface of
the water? Explain your reasoning. Show your work!!! (4 pts)
Change in Otter's position per minute:
The otter is swimming..

Answers

The average change in the otter's position each minute is -24.5 ft per minute and the otter goes deeper.

What is average change?

The ratio of "change in the function values" to "change in the interval endpoints" is referred to as the average rate of change of a function f(x) over an interval [a, b].

Here, we have

Sea level changes by -73.5 ft in 3 minutes

So, we apply the average change formula, and we get

= -73.5/3

= - 24.5 ft per minute

And the otter goes deeper because - 24.5 < 0

Hence, the average change in the otter's position each minute is -24.5 ft per minute and the otter goes deeper.

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A dairy farmer wants to mix a 80% protein supplement and a standard 55% protein ration to make 1400 pounds of a high-grade 60% protein ration. How many pounds of each should he use?

Answers

If the dairy farmer wants to mix a 80% protein. The amount of pounds of each that he should use is 80% 280 pounds and 55% 1120 pounds.

How to find the number of pounds?

Protein I 80% = x pounds

Protein II 55% = 1400 - x pounds

Mixture 60% = 1400

Hence,

80% x + 55% ( 1400 - x ) = 60% × 1400

80 x + 55 ( 1400 - x ) = 84000

80 x + 77000 - 55 x = 84000

Combine like terms

80 x - 55 x = 84000 - -77000

25 x = 7000

Divide both side by 25x

x= 7000/25

x =280 pounds ( Protein I)

Protein II

1400 - x pounds

1400 -280

=  1120 pounds

Therefore the farmer should use 280 pounds and 1120 pounds.

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A study of bone density on 5 random women at a hospital produced the following results.
Age 41, 53, 57, 61, 65.
Bone density: 360, 355, 340, 325, 310
Calculate the correlation coefficient, r. Round your answer to three decimal places.

Answers

The correlation coefficient when there is a study of bone density on 5 random women is -0.909.

What is the correlation coefficient?

It is the statistical measure of the strength of the linear relationship that's between two variables. The correlation coefficient is calculated by calculating the covariance of the variables and dividing that number by the product of the standard deviations of those variables.

The steps for calculating the correlation coefficient are as follows:

Choose your data sets.Determine the standardized value for your x variables.Determine the standardized value for your y variables.Find the sum by multiplying.Determine the correlation coefficient by dividing the total.

The statistical software was used and the values include

Dependent variable = y

Independent variable = x

It should be noted that linear regression has an equation that is in the form of Y = a + bx. The equation is y = 451.674 - 2.051. This was gotten through the statistical software used.

Sample size = 5

Correlation coefficient = -9.09

In conclusion, the coefficient is -9.09.

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Don’t get how I can figure out the Explicit Equation from this

Answers

The four terms of the series will be equal to 14,20,26, and 32.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the equation for the series is given as, t(n) = 6n + 8. The series will be formed as,

t(n) = 6n + 8.

t(1) = 6 x 1 + 8 = 6 + 8 = 14

t(2) = 6 x 2 + 8 = 12 + 8 = 20

t(3) = 6 x 3 + 8 =  18 + 8 = 26

t(4) = 6 x 4 + 8 = 24 + 8 = 32

Therefore, the four terms of the series will be equal to 14,20,26, and 32.

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1.) Ace wanted to buy a gift for his mother
worth $18.60. He has $7.40 in Savings
and another $6.30 Saved from his
allowance for the past two weeks. How much more
does he need to save this week?

Answers

Answer:

$4.90

Step-by-step explanation:

He already has $13.70 (7.40+6.30) saved up so you have to subtract that from 18.60 to find the total Ace needs to save up.

18.60-13.70=4.90

To check your answer, you can add 7.40, 6.30, and 4.90 and see if you get a total of 18.60.

Check: 7.40+6.30+4.90=18.60

Enrique has a pay-per-use plan on his cell phone. It costs $0.10 per minute talk, $0.20 per text message, and $0.25 per picture message. His total bill last month was $30.95. The total number of text and picture messages sent was 87. The cost for the use of minutes was $1.60 less than the cost of the text messages. Find the number of talk minutes, text messages, and picture messages he used.​

Answers

The number of minute talk's, text message's and picture message's are 128, 72 and 15 respectively.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Enrique who has a pay-per-use plan on his cell phone. It costs $0.10 per minute talk, $0.20 per text message, and $0.25 per picture message. His total bill last month was $30.95. The total number of text and picture messages sent was 87. The cost for the use of minutes was $1.60 less than the cost of the text messages

Assume that [x], [y] and [z] represents the number of minute talk's, text message's and picture message's respectively. Then -

0.1x + 0.2y + 0.25z = 30.95         ..[1]

y + z = 87           ..[2]

0.1x = 0.2y - 1.6     ...[3]

We can write Eq[1] as -

0.2y - 1.6 + 0.2y + 0.25z = 30.95  

z = 87 - y

0.2y - 1.6 + 0.2y + 0.25(87 - y) = 30.95  

Solving, we get y = 72.

So z = 87 - 72 = 15

and

0.1x = 0.2 x 72 - 1.6

0.1x = 14.4 - 1.6

x = 128

Therefore, the number of minute talk's, text message's and picture message's are 128, 72 and 15 respectively.

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What is the vertex of this problem?

Answers

The vertex of the parabola is (-1,-1)

What is vertex of parabola?

The vertex of a parabola is the highest point or the lowest point, also known as the maximum or minimum of the parabola. The vertex is the point of intersection of the parabola and its line of symmetry.

The vertex is the maximum or minimum point of a parabola.

The vertex is the point where the parabola changes direction.

Here, the point where the parabola changes it direction is (-1,-1).

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Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle below.

The figure shows a right triangle with legs marked 30 and 16.

Answers

Answer:

A:

Answer:65Step-by-step explanation:C^2= A^2 + B^2C^2 = (60)^2 + (25)^2 C^2 = 4225Take the square root of CC = 65

A harbor seal dives 35 meters below the ocean's surface. Then it dives down an additional 12 meters Determine the seal's new position relative to the surface of the ocean

Answers

The seal's new position relative to the surface of the ocean is 47 meters below.

How to calculate the value?

It is important to note that that question has to do with elevation which is the change in position with regards to the sea or ocean level.

In this case, the harbour seal dives 35 metres below the ocean's surface and then it dives down an additional 12 metres

The new position will be;

= -35 - 12

= -47

This implies that it's 47 meters below the ocean surface.

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Suppose that you have a square pyramid like the one pictured. Which plane section will produce a trapezoid? Question 4 options: A) Cutting off one of the bottom corners B) A cut parallel to the vertical axis, directly through the vertical axis C) A cross section cut parallel with the bottom D) A cut parallel to the vertical axis, but off the vertical axis

Answers

When you have a square pyramid, the plane section that will produce a trapezoid is B. A cut parallel to the vertical axis, directly through the vertical axis

What is a square pyramid?

It is defined in geometry as a shape with a square base with equal side lengths and all of the square's joints at the top that are perpendicular to the center of the square.

Geometry, as we know, is the branch of mathematics concerned with the size, shape, and orientation of two-dimensional figures. A trapezoid, also known as a trapezium, is a closed, flat shape with four straight sides and one pair of parallel sides.

It's parallel sides are known as the bases, and its non-parallel sides are known as the legs. A trapezoid can have parallel legs as well.

In this case, the cut parallel to the vertical axis, directly through the vertical axis will produce the trapezoid.

In conclusion, the correct option is B.

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PLEASE HELP 50 POINTS PLUS BRAINLEST ANSWER ASAP Multiply (2.36 x 10^−9)(8.4 x 10^15). Write the final answer in scientific notation.

1.9824 x 10^7
19.824 x 10^6
1.9824 x 10^−134
19.824 x 10^−135

Answers

The explanation is above

Answer:

THE CORRECT ANSWER IS 1.9824 x 10^7

Step-by-step explanation:

award as brainliest

Which statement is true?

Answers

Answer:

Option A

Step-by-step explanation:

The Horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

___________________

Hope this helps!

Have a great day!!

How many square inches are in a square mile?

Answers

Answer: 4.014e+9 square inches

In a square mile there are this many square inches:

You are walking from home to a clothing store. You stop for a rest after 1/2 miles. The clothing store is actually 3/5 miles from home. How much farther do you have to walk?​

Answers

Answer:

2/3 u need to walk to reach the clothing shop

Determine the axis of symmetry of the graph of the following parabola. f(x)=3(x−5)2+1 Give your answer in the form x=h.

Answers

The axis of symmetry of the parabola, having the equation, f(x) = 3·(x - 5)² + 1 is the line x = h = 5

What is a parabola?

A parabola is the locus of a point that moves such that the distance of the point from a fixed point is the same as the distance of the moving point from a fixed line.

The graph of a parabola has the shape of an open umbrella

The given equation for the parabola is; f(x) = 3·(x - 5)² + 1

The equation is given in the vertex form, f(x) = a·(x - h)² + k, where;

(h, k) = The vertex of the parabola

The axis of symmetry of a parabola, which is the line that divides the parabola in two, passes through the vertex of the parabola

Comparing the equation, f(x) = 3·(x - 5)² + 1, to the vertex form of a parabola,  gives;

a = 3

(h, k) = (5, 1) (The vertex of the parabola)

Which gives; h = 5

The equation of the axis of symmetry is therefore the line, x = h = 5

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sry for the awful picture but i couldnt get it as a file

Answers

Check the picture below.

What is the solution?
3x-10 < 4(x-2)

Answers

Answer:

x > -2

Step-by-step explanation:

3x - 10 < 4x - 8

Collect like terms

3x - 4x < 10 - 8

-1x < 2

Divide both sides by -1

-1x/-1 < 2/-1

x > -2

What is the remainder of 233 Divided by 6

Answers

Answer: 233 divided by 6 is 38.8333

Answer:

38.8333333

sorry if it's wrong.

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