The inequality to determine the number of runs per inning, p Kim's team could have scored is; 4r + 6 > 17
How to write an Inequality?
Let r represent the number of runs per inning. Thus for 4 innings, we have 4r.
The team already has 6 runs. Now add the additional runs to this to get;
4r + 6
The team wants to score more than the other team, this means they need more than 17 and so the inequality required is;
4r + 6 > 17
Subtract 6 from each side to get;
4r + 6 - 6 > 17 - 6
4r > 11
Divide both sides by 4 to get:
r > 2.75
Approximating to a whole number gives;
r > 3
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Answer:
6+4p> 17
3
Step-by-step explanation:
The sequence of transformations that can be
performed on quadrilateral ABCD to show
that it is congruent to quadrilateral GHIJ is
followed by a-
First transformation.
Duadrilateral ABCD has vertices with such coordinates:
A(15,10);
B(15,20);
C(20,15);
D(20,5).
Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then
A(15,10)→A'(15,10);
B(15,20)→B'(5,10);
C(20,15)→C'(10,15);
D(20,5)→D'(20,15).
Second transformation.
1. A reflection across the y axis has a rule:
(x,y)→(-x,y).
Then
A'(15,10)→A''(-15,10);
B'(5,10)→B''(-5,10);
C'(10,15)→C''(-10,15);
D'(20,15)→D''(-20,15).
2. A translation 20 units down has a rule:
(x,y)→(x,y-20).
Then
A''(-15,10)→G(-15,-10);
B''(-5,10)→H(-5,-10);
C''(-10,15)→I(-10,-5);
D''(-20,15)→J(-20,-5).
Answer: first blank -B, second blank - B.
Here is a list of numbers: 13, 15, -6, 8, -16, 2, -12 ,3 ,-18 ,-18 state the median.
The median of list of numbers is-2.
Given the list of numbers is 13,15,6,8,-16,2,-12,3,-18,-18.
The median is the median of a sorted list of numbers. To find the median of a sequence of numbers, the numbers must be sorted in order from lowest to highest or highest to lowest.
Firstly, we will arrange the number from ascending to descending, we get
-18,-18,-16,-12,-6,2,3,8,13,15.
Now, we will find the middle term of the sequence, we get
The middle terms are -6 and 2.
Further, we will find the median of it.
n=(-6+2)/2
n=-4/2
n=-2
Hence, the median of the list of numbers 13, 15, -6, 8, -16, 2, -12 ,3 ,-18 ,-18 is -2.
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Which of the following statements about the scatter plot and the line of best fit are accurate? Select all that apply.
Answer:
- There are more points above the line than below
- This is not a line of best fit
Step-by-step explanation:
If we count the data points above and below the line, we can see there are about 4 below and 11 above. This means there are more points above the line than below. Since there are more points above the line than below, this is not a line of best fit.
If you draw a card with a value of three or less from a standard deck of cards, I will pay you $208. If not, you pay me $35. (Aces are considered the highest card in the deck.) Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
The expected value of the proposition which is the net expected outcome is; $20.89.
How to find the expected value?We are given that;
There is a deck of cards.
There are 3 kinds of cards that have value under 4 (or equal). These 3 cards are 2, 3, 4 and they are in total 4 * 3 = 12 cards.
The probability that we draw such a card = 12/52 = 0.23.
Thus, the probability that we do not draw such a card = 1 - 0.23 = 0.77.
Now, If we play the game once, we will get 0.23 of the times $208 and 0.77 of the times $35.
Thus, the net total expected outcome is: (0.23*208) - (0.77*35)
= $20.89.
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Which ordered pair is generated from the equation shown below y = 3x - 1 OA) (6, 18) O B) (6, 17) OC) (4, 12) OD) (9,8)
Answer:
B) (6, 17)
Step-by-step explanation:
y = 3x - 1
To find a solution to the equation
Let x = 6
y = 3*6 -1
y = 18-1
y = 17
One possible solution is ( 6,17)
This is choice B
The sum of the series below is 10,900. how many numbers, n, are in the series? 19 20.5 22 23.5 ... 181
There are 109 terms in given series.
According to the statement
we have given that the sum of series is AP series and
This is 19 20.5 22 23.5 ... 181
And the sum of series is 10,900
Now, we have to find the number of terms in the series.
Then we use the summation formula which is
S = n/2 (a + L)
Substitute the all given values in it like
L = 181
A = 19 and S= 10,900
then
10,900= n/2(19+181)
10,900= n/2(200)
After solve the equation for n
10,900= 100n
n = 10,900 / 100
n = 109
There are 109 terms in given series.
So, There are 109 terms in given series.
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work out the area of a rectangle with base, b = 20mm and perimeter, p = 50mm.
Answer:
100
Step-by-step explanation:
If the base is 20, then 2 of the sides must have a length of 20. This means that the TOTAL length of the remaining sides is 10. (20*2) + (10) = 50. If we divide that in half, we get 5. That is the side length of the remaining 2 sides. This means that 20 * 5 will give us the area (b*h).
Given,
base, b = 20mm &
perimeter, p = 50mm.
the area of the rectangle : (50 – 20 × 2) ÷ 2 = 5. 5 × 20 = 100 [tex]mm^{2}[/tex].
Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.
The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.
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What is the length of AC?
Answer:
Step-by-step explanation:
you are right AC is 16 because A-C are the same length
Kashif bought a bicycle for rs 10000 and sold it for rs 8000 his loss percentage is
Answer:
20%
Step-by-step explanation:
Loss=C.P-S.PLoss=10000-8000Loss=2000Loss%=loss/cp*100Loss%=2000/10000*100Loss%=20%Which equation is the inverse of 5y+4= (x+3)²+?
0 y = x ² +
O
5
Oy=3±15x+
7
O y=-3±5x
11
10
O-5y-4--(x+3)²-1
72
4
Answer:eq
Step-by-step explanation:
A population of protozoa develops with a constant relative growth rate of 0.469 per member per day. On day zero the population consists of five members. Find the population size after eight days.
If the growth rate is 0.469 per member per day and in the beginnning there are 5 members then the population size after eight days is 108.42.
Given growth of population of protozoa 0.469 per member per day and population in beginninng is 5 members.
We have to find the population afte eight days.
First of all we have to find the function or equation showing sum of population after t days.
Because it is given that the rate is 0.469 per member per day it means it is like compounding.
The equation which shows the sum after compounding is P[tex](1+r)^{n}[/tex]
where P is the amount in beginning, r is the rate and n is the number of years.
In this problem the equation will be 5[tex](1+0.469)^{t}[/tex] where t is number of days.
We have to put the value of t=8 to find the population after 8 days=
=5[tex](1.469)^{8}[/tex]
=5*21.68
=108.42
Hence the population of protozoa after 8 days is 108.42.
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The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches
The surface area of a rectangular prism is found as 150 square inches.
What is rectangular prism?A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces make up a rectangular prism, and each face has a rectangle shape and twelve edges.
Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.
Calculation for the surface area of rectangular prism-
Height of a rectangular prism => H = 4 inches
Width of a rectangular prism => B = 9 inches
Length of a rectangular prism => L = 3 inches
Surface area of a rectangular prism = 2(LB + BH + HL)
= 2(9×3 + 9×4 + 4×3)
= 150
Therefore, the surface area of a rectangular prism is found as 150 square inches.
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make x the subject. help please
Answer:
[tex]\sf x = \dfrac{n - 2mp}{2m}[/tex]
Step-by-step explanation:
[tex]\sf 3m = m + \dfrac{n}{p + x}\\[/tex]
[tex]\sf 3m - m = \dfrac{n}{p +x}[/tex]
[tex]\sf 2m = \dfrac{n}{p +x}[/tex]
Now cross multiply,
2m*(p +x) = n
To open the parenthesis, multiply 2m by p and x.
2mp + 2mx = n
Isolate the term with variable 'x'
2mx = n - 2mp
Now, isolate 'x', by dividing both sides by 2m
[tex]\sf x = \dfrac{n-2mp}{2m}[/tex]
Answer:
x = [tex]\frac{N-2MP}{2M}[/tex]
Step-by-step explanation:
3M = M + [tex]\frac{N}{P+x}[/tex] ( subtract M from both sides )
2M = [tex]\frac{N}{P+x}[/tex] ( multiply both sides by P + x to clear the fraction )
2M(P + x) = N ← distribute parenthesis on left side
2MP + 2Mx = N ( subtract 2MP from both sides )
2Mx = N - 2MP ( divide both sides by 2M )
x = [tex]\frac{N-2MP}{2M}[/tex]
If the parent function is \root(3)(x), describe the translation of the function y=\root(3)(x+4)-3
The parent function moves 4 units right and 3 units down. This is a translation by the vector.
According to the question,
Transformation [tex]\sqrt[3]{x}[/tex] maps onto [tex]\sqrt[3]{x+4} -3[/tex] . Take f(x) = [tex]\sqrt[3]{x}[/tex] and f(x+4)=[tex]\sqrt[3]{x+4}[/tex].
f(x) = [tex]\sqrt[3]{x}[/tex]
f(x+4)=[tex]\sqrt[3]{x+4}[/tex]
f(x+4) - 3=[tex]\sqrt[3]{x+4}[/tex] - 3
Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.
Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.
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What is the minimum value of c = 7x 8y, given the constraints on x and y listed below?
The minimum value of c = 7x + 8y is 42. The minimum value is obtained at point (6, 0).
How to calculate the minimum value?To calculate the minimum value of the given equation w.r.t the given constraints(inequalities), the steps are:
Step 1: Identify the system of inequalities in the given constraints
Step 2: Graph those inequalities
Step 3: Identify the maximum and minimum values of x and y that satisfy the given inequalities
Step 4: Then, with the obtained coordinates solve the given equation to get the minimum value.
Calculation:The given equation is C = 7x + 8y, and the constraints list is
2x + y ≥ 0
x + y ≥ 6
x ≥ 0
y ≥ 0
Graphing these inequalities and shading the region that satisfies the given inequalities.
So, from the graph,
the x-values that satisfy all the given inequalities are [6, ∞]
the y-values that satisfy all the given inequalities are [0, ∞]
So, the required coordinate is (6, 0). By this, we can calculate the minimum value of the given equation C = 7x + 8y
Then,
C = 7(6) + 8(0) = 42 + 0 = 42
Thus, the minimum value of the given equation is 42.
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Disclaimer: The given question is incomplete. Here is the complete question.
Question: What is the minimum value of c = 7x 8y, given the constraints on x and y listed below?
2x + y ≥ 0
x + y ≥ 6
x ≥ 0
y ≥ 0
In the diagram AB/BC = AD/DE
Substitute the known values into the proportion and solve for DE
Answer: 9
Step-by-step explanation:
[tex]\frac{2}[3}=\frac{6}{DE}\\\\\frac{3}{2}=\frac{DE}{6}\\\\DE=9[/tex]
PLEASE HELP QUICK!!!!
Bernie borrowed b books from his friend Grant's collection of 29 books. What does the expression 29 - b represent?
Find the midpoint between the two points:
(2,3), (4,1)
Answer:
(3, 2 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (4, 1 ) , then
midpoint = ( [tex]\frac{2+4}{2}[/tex] , [tex]\frac{3+1}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (3, 2 )
What is the domain of the function represented by the graph? A graph shows an upward parabola on a coordinate plane vertex at (minus 4, minus 4) which intercepts axis at (minus 5, 0), and (minus 3, 0) passes through (minus 3, 1), and (minus 2.5, minus 5). all real numbers x ≤ -2 x ≥ -6 x ≥ 4
Using it's concept, the domain of the function represented by the graph is all real numbers.
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function.
In this problem, a parabola is used, which has no restriction such as an even root or a fraction, hence the domain is all real values.
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what is the volume of the prism pls help
The volume of the rectangular prism is 8 1 / 8 units³
Volume of a rectangular prism?volume of a rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
volume of a rectangular prism = base area × height
volume of a rectangular prism = 16 1 / 4 × 1 / 2
volume of a rectangular prism = 65 / 4 × 1 / 2
volume of a rectangular prism = 65 / 8
volume of a rectangular prism = 8 1 / 8 units³
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When you flip a biased coin the probability of getting a tail is 0.47. Find the probability of getting a head.
Answer:
0.53
Step-by-step explanation:
1 - 0.47 = 0.53
Answer: 0.53
Answer:
0.53 or 53%
Step-by-step explanation:
1 = 100%
1 - 0.47 = 0.53 * 100 (100%) = 53% chance of getting heads.
Condense log 2 4 + log 2 5
Answer:
[tex]log_{2}[/tex] 20
Step-by-step explanation:
using the rule of logarithms
loga + logb = logab
then
[tex]log_{2}[/tex]4 + [tex]log_{2}[/tex]5
= [tex]log_{2}[/tex] (4 × 5)
= [tex]log_{2}[/tex]20
Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. How long will the new road be? A.54.2 mi B. 312 mi C. 46.2 mi D.400 mi
The length of the road that connects the service station with Cray is 46.2 mi.
How long will the new road be?
We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.
Hence;
The distance between Alba and Blare = 130 mi
The distance between Alba and Cray = 120 mi
Road connecting the service station with Cray =x
And;
120/130 = x/50
x = 46.2 mi
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the lengths of the sides of a triangle are 3, 3, 3√2. can the triangle be a right triangle? yes no
Answer:
no hdjsjfjabjsjfbsbajdisjsb
The triangle can be a right triangle
How to determine the triangle type?The side lengths are given as:
3, 3 and 3√2
If the triangle is a right triangle, then the following must be true
a^2 = b^2 + c^2
Where a is the longest side.
So, we have:
[tex](3\sqrt 2)^2 = 3^2 + 3^2[/tex]
Evaluate the expressions
18 = 18
Both sides of the equation are equal
Hence, the triangle can be a right triangle
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Olympics sports has a markup of $66 on a pair of sneakers. if this is a 37% markup on selling price, find the selling price and the cost as a percent of the selling price.
Mark up = $66
Mark up on selling price = 37%
Selling price = 37%
Selling price x Mark up percentage = Mark up
Selling price x 37% = 66
Selling price = $178.38
Cost = Selling price - Mark up
= 178.38-66
= $112.38
Cost as a percentage of selling price = Cost / Selling price
= 112.38/178.38
= 63%
The selling charge is how much a purchaser pays for a product or service. it is able to range relying on how tons consumers are inclined to pay, how a whole lot the seller is inclined to just accept, and the way competitive charge is in comparison to other businesses inside the marketplace.
A sale rate is the discounted rate at which goods or services are being offered. This rate is normally offered for a restrained period of time, usually to spur income all through a slow duration or to sell off excess stock. the discount is advertised as a percentage discount from the ordinary listing charge.
Fee rate: the quantity paid to purchase a piece of writing or the fee at which an editorial is made is known as its cost charge. The value fee is abbreviated as C.P. selling price: The rate at which an editorial is sold is called its selling rate. The promoting price is abbreviated as S.P.
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Can anyone help me solve this
I need it left in terms of pi and pls show work
Circumference = 10π in, Area = 25π in²
Circumference = 19 π in, Area = 90. 25 π in²
Area = 225 π in²
Circumference = 16π
How to determine the circumference and areaIt is important to note that the formula for area and circumference are;
Area = πr^2
Circumference = 2πr
For the first column, we have
radius = 5in
Substitute the values of the radius into the formula
Circumference = 2 × π × 5
Circumference = 10π in
The area;
Area = π × 5 × 5
Area = 25π in²
For the second column,
radius = 9. 5 in
Substitute the values of the radius into the formula
Circumference = 2 × π × 9. 5
Circumference = 19 π in
Area = π × 9. 5 × 9. 5
Area = 90. 25 π in²
For the third column
radius = 15in
Substitute the values of the radius into the formula
Area = π × 15 × 15
Area = 225 π in²
For the fourth column
radius = 8 in
Substitute the values of the radius into the formula
Circumference = 2 × π × 8
Circumference = 16π
From the solved solution, we can see that the shape is a circle.
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Please please answer following question and show work
The y-intercept of the function f(x) is (0, 10/3)
The limits of the functionThe function is given as:
[tex]f\left(x\right)=\frac{30}{1+2^{3-x}}[/tex]
As x approaches infinity, we have:
[tex]\lim_{x \to \infty} \frac{30}{1+2^{3-x}}[/tex]
This gives
[tex]\lim_{x \to \infty} \frac{30}{1+2^{3-\infty}}[/tex]
[tex]\lim_{x \to \infty} \frac{30}{1+2^{-\infty}}[/tex]
Evaluate
[tex]\lim_{x \to \infty} \frac{30}{1}[/tex]
[tex]\lim_{x \to \infty} 30[/tex]
As x approaches negative infinity, we have:
[tex]\lim_{x \to -\infty} \frac{30}{1+2^{3+x}}[/tex]
This gives
[tex]\lim_{x \to -\infty} \frac{30}{\infty}[/tex]
Evaluate
[tex]\lim_{x \to -\infty} 0[/tex]
Hence, the limits of the function are [tex]\lim_{x \to \infty} 30[/tex] and [tex]\lim_{x \to -\infty} 0[/tex]
The horizontal asymptoteRemove the denominator
f(x) = 30
Also, set the numerator to 0
f(x) = 0
Hence, the horizontal asymptotes are y = 30 and y = 0
The y-interceptSet x = 0
[tex]f\left(0\right)=\frac{30}{1+2^{3-0}}[/tex]
Evaluate
[tex]f\left(0\right)=\frac{30}{9}[/tex]
Divide
[tex]f\left(0\right)=\frac{10}3[/tex]
Hence, the y-intercept is (0, 10/3)
How the numerator is related to (b)The numerator of f(x) is 30.
In (b), we have
The horizontal asymptotes are y = 30 and y = 0
This means that the horizontal asymptotes and the numerator are the same
The graphSee attachment for the graph of f(x)
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Pls, can someone help me? (whoever helps me gets BRAINLEIST)
Answer:
25 people
Step-by-step explanation:
These are the pieces of information we know.
- 1/6 who came to the restaurant ordered fish tacos
- There were 30 customers in total
- We need to find the number of people who did not order fish tacos
1. The number of people who ordered fish tacos can be expressed as: 30 x 1/6, which is 5. We know that 5 people ordered fish tacos.
2. Since we want to know the number of people who didn't want fish tacos, we take 5 away from 30: 30 - 5, which is 25.
25 people did not order fish tacos on Tuesday.
Given a population mean of 56.7, a standard deviation of 4.3, and a sample size of 260, what is the standard error of the mean? round
your answer to the nearest hundredth.
the standard error of the mean is approximately___.
The standard error of the mean, rounded to the nearest hundredth is 0.27
What is standard error of mean?The standard error of the mean (SEM) calculates how big of a difference there is between the mean of a sample and the mean of the population.
The square root of the sample size is divided by the standard deviation in order to obtain the Standard error of mean.
Always, standard error of mean will be smaller than standard deviation.
But a statistical inference based on the sampling distribution is part of the Standard error of mean definition.
According to the question,
Population Mean=56.7
Standard Deviation=4.3
Sample Size=260
Standard Error of mean=4.3/[tex]\sqrt{260}[/tex]
=4.3/16.1245
=0.27
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Answer:
0.27
Step-by-step explanation:
Plato/Edmentum
A researcher records the hospital admission rates for coronary heart disease at 10 local hospitals. She finds that 2 different hospitals had the highest overall rates of hospital admissions. Which measure of central tendency did this researcher use to describe these data
The central tendency researcher use to describe these data is "mode".
What is mode?The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Calculation of mode is done by-
The number that appears the most frequently in a piece of data is its mode. Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode. The most frequent number is the mode.Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set. The figure with the largest total is the mode.Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.To know more about the mode of the data, here
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