The better buy is 8 grapefruit for 2.99. '
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 5 grapefruit for 1.99 or 8 grapefruit for 2.99. The better price for the grapefruit will be calculated as,
5 grapefruit for 1.99
1 grapefruit = $1.99 /5 = $0.39
8 grapefruit for 2.99.
1 grapefruit = 2.99 / 8 = $0.37
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3 1/3 - 5/6 Can u help me on this please?
Answer: 2 1/2
Step-by-step explanation:
3 1/3 - 5/6 =
(3*3+1 = 10/3 - both denominators (the bottom number) need to be the same so you need to make the mixed number 3 1/3 into an improper fraction first 10/3)
10/3 - 5/6 =
(10/3 * 2/2 = 20/6 - take the 10/3 and multiply by 2 which gives you 20/6)
20/6 - 5/6 = (now subtract which give you 15/6)
15/6 =
2 3/6 =
2 1/2 (lowest form)
Please I need help with two of these problems! If you could help me thank you so much!
The arc length of ST is 66r and the arc length of VSU is 270r, where r is the radius of the circle.
What does the arc length refer to?The length around the perimeter of any circle or curve is a better way to represent the length of an arc (arc). Each distance along the curved path that makes up the arc is measured by its length. An arc is a section of a curve or the outside of a circle. They are all curved in shape. The length of the arc is determined by the number of arcs in the arc (a chord). Based on measurements of the central angle (), which can be expressed in degrees or radians, we can calculate the arc length of a circle. The radius of a circle is multiplied by the arc length formula for circles.
The angles given are:
∠URT = 114°
∠URV = 90°
US is the diameter because it is a straight line passing through the centre of the circle.
Then ∠SRV = 90°
The total angle of the circle is 360°
Then,
∠SRT = 360 - ( 90 + 90 + 114)
= 360 - 294 = 66°
Arc length of ST = radius * ∠SRT = 66r
Arc length of VSU = r * ∠VRU = r * (90 + 66 + 114) = 270r
Therefore the arc length of ST is 66r and the arc length of VSU is 270r, where r is the radius of the circle.
As per given the chord is 25 units,
Now, the other chord will be of same length,
and it is divided by the median,
Now, the length of x is 25/4 = 6.25
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Many businesses and organizations insist that official communications use professional-looking fonts, such as times new roman. fonts characterized as less professional, such as comic sans, should be avoided. a student would like to determine if font choice makes a difference in the average grade on a typed response in english classes. there are currently four english classes available from which the student can collect data, and each class has a similar writing assignment. at the start of the assignment, students are randomly assigned a font, either times new roman or comic sans, and then complete the assignment. the teachers grade the assignments, and the mean grade for each font is found.Method A: At the start of the assignment, students choose a font, either Times New Roman or Comic Sans, and then complete the assignment.Method B: At the start of the assignment, students are randomly assigned one of two fonts, either Times New Roman or Comic Sans, and then complete the assignment.In both methods, the teachers grade the papers received, and the mean grade for each font is determined.Which method describes an experiment?a. Method A is an experiment because the students choose their own font.b. Method B is an experiment because the students are randomly assigned a font.c. Both methods describe experiments because both fonts are used on the assignment.d. Neither method describes an experiment because a third font should be included for comparison.
8+(2)((-2)-3) jjjjjjjjjj
The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation rate finds that of the last 20 players entering the program only 11 graduated. If the university’s claim is correct, the number of players among the 20 should follow the binomial distribution B(20, 0.85).
a) What is the probability that 11 out of the 20 would graduate? Write how the binomial formula is used to calculate the probability.
(Answer: 0.74%) ?
b) To what extent do you think the university’s claim is true?
(Answer: Very low extent) ?
c) What is the probability that all 20 athletes would have graduated? Write how the binomial formula is used to calculate the probability.
(Answer: 3.86%) ?
d) Find the mean and standard deviation of the number of graduates out of the 20 players.
Probabilities are used to determine the chances of events
The given parameters are:
Sample size: n = 20Proportion: p = 85%(a) What is the probability that 11 out of the 20 would graduate?Using the binomial probability formula, we have:
\(P(X = x) = ^nC_x p^x(1 - p)^{n -x}\)
So, the equation becomes
\(P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}\)
This gives
\(P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}\)
\(P(x = 11) = 0.0011\)
Express as percentage
\(P(x = 11) = 0.11\%\)
Hence, the probability that 11 out of the 20 would graduate is 0.11%
(b) To what extent do you think the university’s claim is true?The probability 0.11% is less than 50%.
Hence, the extent that the university’s claim is true is very low
(c) What is the probability that all 20 would graduate?Using the binomial probability formula, we have:
\(P(X = x) = ^nC_x p^x(1 - p)^{n -x}\)
So, the equation becomes
\(P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}\)
This gives
\(P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0\)
\(P(x = 20) = 0.0388\)
Express as percentage
\(P(x = 20) = 3.88\%\)
Hence, the probability that all 20 would graduate is 3.88%
(d) The mean and the standard deviationThe mean is calculated as:
\(\mu = np\)
So, we have:
\(\mu = 20 \times 85\%\)
\(\mu = 17\)
The standard deviation is calculated as:
\(\sigma = np(1 - p)\)
So, we have:
\(\sigma = 20 \times 85\% \times (1 - 85\%)\)
\(\sigma = 20 \times 0.85 \times 0.15\)
\(\sigma = 2.55\)
Hence, the mean and the standard deviation are 17 and 2.55, respectively.
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The equation of the line of best fit of a scatter plot is y = −7x − 2. What is the the y-intercept? (4 points)
a. −7
b. −2
c. 2
d. 7
Answer:
The answer is B or -2
Step-by-step explanation:
Answer: -2
Step-by-step explanation:
The y-intercept is the number that doesn't have a variable behind it in this form but if it does it's y.
Which one of the following is a result of the normal probability distribution being bell-shaped?
The mean, median, and mode are at the center
The area on the right side of the mean is greater than the area on the left.
The area on each side of the mean equals 1.00
The mean is further in the right tail than the median is
The result of the normal probability distribution being bell-shaped is that the mean, median, and mode are at the center.
This means that the center of the bell-shaped curve represents the most likely occurrence of the data and that the values are symmetrically distributed around the mean.
The mean, median, and mode of a normal distribution are equal, which means that they are all located at the center of the bell-shaped curve. This is an important characteristic of the normal distribution and sets it apart from other distributions where the mean, median, and mode may not be equal.
In a normal distribution, the area on each side of the mean does not equal 1.00, but rather approaches 1.00 as the curve becomes more symmetrical. The height of the curve at the mean represents the highest probability of occurrence, and the probabilities decrease as the values deviate from the mean.
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32 is 10% of what number?
drink(s) within a 4 hour time span, regardless of height and weight, can get you a bac of .01% .
1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.
Blood Alcohol Content (BAC) is a measure of alcohol in the blood as a percentage. It is calculated in grams per 100 mL of blood, so a BAC of 0.08 means your blood is 0.08% alcohol by volume.
Here, the BAC = 0.1%
Time span = 4 hours
We know,
BAC is a measure of alcohol in the blood as a percentage
Alcohol leaves the body at an average rate of 0.015 g/100mL/hour
Hence, 1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.
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please help 100 points
Answer:
Type that out please I can't read it sideways
Step-by-step explanation:
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blueader07
11.05.2020
English
Secondary School
answered
100 POINTS PLEASE HELP
Purpose
Create a multimedia presentation on the topic of unity.
Summary
In this assignment, you will use research to create and develop a multimedia presentation on the
topic of unity. Your presentation will present the problem and demonstrate how increased unity can
be achieved to solve it.
Assignment Prompt
Identify a situation in which there is a division that could benefit from increased unity. You may
choose an example of division in the country, your community, your school, a group, or a team.
Create a multimedia presentation that presents the problem and demonstrates how increased unity
can be achieved to solve it.
The "rigging" of a ship is all of the ropes used to hold sails, floats, and weights. The total rigging on the scale model amounts to an astonishing 326 feet of string. Assuming this number is an accurate scaling of the real rigging, what is the total rigging of the Lady Washington?
The model's rigging length of 326 feet is likely only a fraction of the total rigging on the real Lady Washington. Nonetheless, it is still an astonishing amount of string to work with when creating a model ship!
Assuming that the scale model is an accurate representation of the Lady Washington, we can use the model's rigging length to estimate the total rigging of the actual ship. The model has 326 feet of rigging, and if we know the scale of the model, we can determine the length of the real ship's rigging.
Unfortunately, without knowing the scale of the model or the dimensions of the actual ship, it is impossible to give an exact answer. However, we can make some educated guesses based on typical rigging lengths for ships of a similar size and type.
The Lady Washington is a replica of an 18th-century trading vessel, and based on historical records, we can estimate that a ship of this type and size would have had around 1,000 feet of rigging. This includes the standing rigging (which supports the mast and stays in place all the time), as well as the running rigging (which is used to adjust the sails).
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Please answer
Please answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answerPlease answer
Answer:
\(y=\frac{6}{5}x-24\)
Step-by-step explanation:
\(Since\ the\ yellow\ points\ are\ \left(20,0\right)and\ \left(70,60\right)\)
\(so,\ set\ the\ equation\ of\ this\ is\ y=mx+b\)
\(\rightarrow0=m\times20+b\)
\(60=m\times70+b\)
\(get\ m=\frac{6}{5},b=-24\)
\(so,\ the\ slope-intercept\ form\ of\ it\ is\)
\(y=\frac{6}{5}x-24\)
\(\left\{Substitution\ method\right\}\)
I hope this helps you
:)
In the picture below, which segment is parallel to AD
Answer:
BC
Step-by-step explanation:
because they never intersect each other
what is the change in temperature between 24 Celsius and 15 Celsius
Answer:
It got colder by 9 degrees
Step-by-step explanation:
Work out the area of the given shape ;)
1. 36 sq m
2. 24 sq m
3. 48 sq m
Answer:
The answer would be, 36 sq m
Calculate the number of full meals a bag of dog food makes. On average, each dog gets 180 g of food and the bag is 50 kg.
Answer:
277.777778 Or about 277 meals
Step-by-step explanation:
We can find this out by converting 50 kg into grams. There are 1000 grams in a kg. So to convert 50 kg into grams we have to multiply by 1000. 50 x 1000 = 50000 g. 50000g / 180 g = 277.777778 or about 277.
After driving
three hours, the Factors
stopped for lunch. The bill for 4
hamburgers and 4 milkshakes was
$12.65. How much change did Ms.
Factor receive from a $20 bill?
Answer:
7.35
Step-by-step explanation:
What are the 3 types of triangle similarity?
Answer: AAS, SAS, SSS
Step-by-step explanation:
Workout the area of a semicircle with a radius of 3cm. Give your answer in terms of pi
The area of a circle is PI x r^2
Area = PI x 3^2
Area = 9PI
A semicircle is 1/2 a full circle
Area of the semicircle can be written as 9/2PI or 4.5PI cm^2
Step-by-step explanation:
area=22/7*25
are =(22/7*25
area=(3.14*25
area 39.25
5. The goal of solving a one, two, or multi-step equations is to:
A. Find the value of the variable
B. Find the constant
C. Find the coefficient
D. Move the terms
Answer:
option A
to find the value of variable
hope it helps
make multiplying and dividing rational numbers worksheet?
Multiplication and division of regular numbers are the same as fractions and we will learn them with the multiplication and division of rational numbers worksheet.
To do the multiplication, first find the greatest common divisor of the numerator and the denominator. The factors are then grouped together so that the score equals one. Then multiply by the remaining factors. To divide, first rewrite the division as multiplication by the inverse of the denominator.
Cuemath's interactive math worksheets contain visual simulations to help your child visualize the concepts being taught, "see things as they really are, and reinforce learning from them". The Rational Numbers Multiplication and Division Worksheet follows a step-by-step learning process that helps students better understand concepts, identify errors, and eventually develop strategies for solving future problems.
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The width of a rectangle measures (26b - 8c) centimeters, and its length measures
(10b + 6c) centimeters. Which expression represents the perimeter, in centimeters,
of the rectangle?
1. 24b - 4c
2. 12b- 2
3. 12c - 8 + 24b
4. 24b - 4
What is the length of a rectangle that has a width of 2.5 centimeters and an area of 20.5 square centimeters?
Carlos dropped the phone he had received for his birthday and broke the screen. He knows he has to pay for the replacement himself and does some research to find the lowest cost. He is trying to decide between two stores offering different deals on the same-priced phone.
Answer:
????????????????
Step-by-step explanation:
what's the question
Write an exponential function in the form y = a b x that goes through points (0,7) and (3,875).
Thus, the exponential function written in the form of y = abˣ is given as: y = 7 (5)ˣ.
Explain about the exponential function?Calculating the exponential growth as well as decay of a given collection of data is done using an exponential function, which is a mathematical function.
Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.
Use the equation y = ab ,
Put the given points (0,7) and (3,875).
At, x = 0 and y = 7
7 = a(b)⁰
a = 7
And
At, x = 3 and y = 875
875 = 7(b)³
b = \(125^{\frac{1}{3} }\)
b = 5
Then, y = abˣ
Put values of a and b.
y = 7 (5)ˣ
Thus, the exponential function written in the form of y = abˣ is given as: y = 7 (5)ˣ.
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Complete question:
Write an exponential function in the form y = abˣ that goes through points (0,7) and (3,875).
how to find the rational function and graph it
The graph is attached below.
To graph the rational function f(x) = 8/(x-2), follow these steps:
Determine any vertical asymptotes by setting the denominator equal to zero and solving for x. In this case, the denominator is x-2, which equals zero when x=2. So, there is a vertical asymptote at x=2.Determine any horizontal asymptotes. For this rational function, as x approaches positive or negative infinity, the fraction approaches zero. Therefore, there is a horizontal asymptote at y=0.Find any x- or y-intercepts. Choose some additional values of x to find corresponding values of y, and plot those points on the graph. Plot these points on the graph, and connect them with a smooth curve, taking into account the vertical asymptote at x=2 and the horizontal asymptote at y=0.The resulting graph should have a vertical asymptote at x=2, a horizontal asymptote at y=0, and crosses the x-axis at x=2 and the y-axis at y=-4. The graph is decreasing from negative infinity to x=2, and increasing from x=2 to positive infinity.
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A sample of n = 5 scores has m = 20 and s2 = 4. what is the sample standard deviation?
The sample standard deviation is 0.89
In the given statement is:
A sample n = 5 scores which means that there are 5 sample having m = 20 which is the arithmetic mean (A.M.)of these samples, and \(s^{2}\) = 4 is the variance of these samples.
Let us know the :
What is meant by Sample Standard deviation?
The sample standard deviation (s) is the square root of the sample variance and is also measure of the spread from the expected values.
Standard deviation is the square root of the variance.
Therefore, \(s^{2}\) =4 => s = 2
(Where, s denotes sample standard deviation ,σ)
Also, Standard error of the sample S(E) = Sample standard variance / \(\sqrt{number of samples}\)
= σ /\(\sqrt{n}\) = 2/\(\sqrt{5}\)
and, root 5 = 2.24
put the value of root 5
=2 / 2.24
= 0.89
Hence, The sample standard deviation is 0.89
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X = ? Degrees
Y= ? Degrees
Answer:
X = i don't know
Y = 50°
Step-by-step explanation:
dugobdddjcjcfsfhjjgkcfzdd
4+2 4n+2 Suppose = = (2+ 3i) ***2 + (3 – 2i) ***?, for n is a positive integer. Show that - is a real number and find its Z= + value.
The value of Z is -27/37. To solve this problem, we will first simplify the expression on the left-hand side of the equation.
Using the distributive property of multiplication, we get:
(4+2n) = 2(2+n)
Next, we will simplify the expression on the right-hand side of the equation. We will use the complex conjugate to get rid of the imaginary part. The complex conjugate of (2+3i) is (2-3i), so we have:
(2+3i)*(2-3i) = 4 + 9 = 13
Now we have:
(4+2n)/(13) = (2+3i) + (3-2i)/(13)
To show that the left-hand side is a real number, we need to show that the imaginary part is equal to zero. We can simplify the right-hand side to get:
(2+3i) + (3-2i)/(13) = 2/13 + 3i/13 + 3/13 - 2i/13
The imaginary part is (3/13 - 2i/13), which is equal to:
(3/13) - (2/13)i
Since the denominator is a positive integer, we can see that the imaginary part is a multiple of (1/i), which is equal to -i. Therefore, the imaginary part is equal to zero, and the left-hand side is a real number.
To find the value of Z, we need to solve for (2n+4)/(13) = 2/13, which gives us n= -1. Substituting this value back into the original equation, we get:
(4+2(-1))/(13) = 2+3i + (3-2i)/(13)
2/13 = 2+3i + (3-2i)/(13)
Multiplying both sides by 13, we get:
2 = 26 + 39i + (3-2i)
Simplifying, we get:
-27 = 37i
Therefore, the value of Z is -27/37.
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can you help me with this
Answer:
if the question is asking for the Unit rate, 1 = 3.5
Step-by-step explanation:
Basically, the equation is
x + 1.5 = y