The bar for 11th graders show 30% for preferring Salad.
Given, that the lunch orders from an upperclassman picnic.
11th Grade 12th Grade Total
Salad 12% 6% 18%
Sandwich 20% 24% 44%
Soup 8% 30% 38%
Total 40% 60% 100%
To find the relative frequency we divide the frequency by the total.
hence, to find the relative frequency for 11th graders preferring Salad
12/40 = 0.3 = 30%
Hence, the bar for 11th graders show 30% for preferring Salad.
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A store owner bought dog bowls for $6 and sold them for $8.10. What is the mark-up, as a percentage?
Answer:I am not fully going to do it for you, but here is the best way i can explain, it if not i am sorry.
Step-by-step explanation: Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage. For example, if your product costs $50 to make and the selling price is $75, then the markup percentage would be 50%: ( $75 – $50) / $50 = . 50 x 100 = 50%.
Simplify the following expressions by adding the like terms: 3a² - 2a - 7 + 3a + 4 - 2a² + 9a x² + 6xy + 5y² - 6xy + 2y² 1 2
overbooking: a boeing 767-300 a boeing 767-300 aircraft has 213 seats. when someone buys a ticket for a flight, there is a 0.0995 probability that the person will not show up for the flight (based on data from an ibm research paper by lawrence, hong, and cherrier). how many reservations could be accepted for a boeing 767-300 for there to be at least a 0.95 probability that all reservation holders who show will be accommodated?
7.82 % is probability that all reservation holders who show will be accommodated.
What is probability in math?
Probability refers to potential. The subject of this area of mathematics is the occurrence of random events.The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.If 236 are booked.
and there is only room of 213.
if 214 or 215 or 216 ............ etc
all the way to 236
there won't be enough seats.
P( X = 214 ) = ²³⁶C₂₁₄ * ( 0.9005 ) ²¹⁴ * ( 0.995 )²²
P( X = 214 ) = 0.08439109
= 8.44 %
P( X = 215 ) = ²³⁶C₂₁₅ * ( 0.9005 ) ²¹⁵ * ( 0.995 )²¹
= 0.0781522
= 7.82 %
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how many ways are there to select a set of 8 donuts from 3 varieties? donuts of the same variety are indistinguishable.
There are 336 to select a set of 8 donuts from 3 varieties, where the donuts of the same variety are indistinguishable.
here the total number of 8 donuts of a set needs to make from a given variety of 3, since here the orders so, we need to use permutations.A permutation of a set is an arrangement of its individuals into a grouping or direct order, or in the event that the set is as of now ordered, a modification of its elements. It alludes to the act or preparation of changing the direct arrange of a requested set. Permutations vary from combinations, which are determinations of a few individuals of a set in any case of an order.
the formula for permutations is :
P(n,r) = n! /(n-r)! , here n i=8 and r = 3
P(8,3) = 8! /(8-3)!
= 8* 7*6= 336
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What is -900+16-2^3 ?
Answer: -893
Step-by-step explanation: -900 -(+16) = 884 +(-8) = -893
Answer:
-892
-900+16-2^3=-900+16-8=-900+8=-892
what condition or conditions must hold true for the sampling distribution of the sample mean to be normal when the sample size is less than 30?
When the sample size is smaller than 30, the following requirements must be met for the sampling distribution of the sample mean to be considered normal:
The data values should be symmetrical in the sample.No outliers should be in sample data .If these conditions are satisfied then the sampling distribution of the sample mean to be normal when sample size is less than 30.
A statistic's sampling distribution is a form of probability distribution produced by selecting several random samples of a predetermined size from the same population. You may better comprehend the variations in a sample statistic by using these distributions.
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Express as a trinomial.
(2x-8)(2x-2)
Answer:
Step-by-step explanation:
:
The answer is 4x^{2}+12x-16. correct me if im not ty!
Answer:
4x^2 - 20x + 16
Step-by-step explanation:
4x^2 - 4x - 16x + 16
4x^2 - 20x + 16
AB= 8x+2y
BC= 4x+18
encuentra AC
Answer:
Step-by-step explanation:
Thevalueof theAC segmentknown asthe AB and BC segmentsis:
AC = 12x + 2y + 18
What is a segment?
It is the distance or vector obtained from the sum of the differences of the coordinates of the ends of that segment.
AB = B - A
What are mathematical operations?
They are those such as addition, subtraction, multiplication and division, being the most basic and also have the roots, exponents, among others ...
Thesumis addition to one number to another.
Subtraction is subtractingone number from another.
Multiplicationis adding the same number as many times as the multiplier indicates.
Divisionis the decomposition or separation of one number from another.
What is the value of AC?
Assume that AC is the length of the segment containing AB and BC.
AC = AB + BC
Being;
AB= 8x + 2y
BC = 4x + 18
Replace
AC = 8x +2y + 4x + 18
AC = 12x + 2y + 18
17. Yu Yan withdrew $25 from her savings account. The next day, she withdrew another $32.75 from
her savings account.
a. Write a numerical expression to represent the changes in Yu Yan's account.
b. Evaluate your expression from part (a).
18. Evaluate 33.28 0.64 by using the standard algorithm.
Answer:
Step-by-step explanation:
a. The numerical expression representing the changes in Yu Yan's account is x = 25 + 32.75.
b. After evaluating expression (a), we see that $57.75 is the total amount changed from her account.
What is a numerical expression?
In mathematics, a numerical expression is a combination of sets of numbers and integer combined using addition, subtraction, multiplication, or division. When used with mathematical operators like addition, subtraction, multiplication, or division, it is said that a numerical expression is a combination of different integer numbers. The following are a few typical examples of numerical expressions: 5 + 10150 - 2520 × 2 + 5 40 ÷ 10 × 2 - 8 + 1 75 + 6 - 8.
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This shows a triangle.
What is the value of x?
43
62
105
115
Answer:
105 degrees
Step-by-step explanation:
Find angle F:
the sum of angles of triangle =180
62+43+y=180
105+y=180
y=75
straight line = 180 degrees
75+x=180
x=105 degrees
charlie has 2 fair coins. he repeatedly tosses the pair of coins simultaneously (i.e., two tosses at a time), until he has seen both sides of both coins. in expectation, how many total tosses does this take?
By using the trial method we get a total number of trials taken by Charlie to see both sides of both the coins is 4.
What is probability?Probability is the name of the area of mathematics that deals with the examination of random events. The ratio of favorable occurrences to the total number of events is used to calculate an event's probability.
P(E) = F(E)/T (E)P(E)
It stands for the probability that an event will occur.
F(E) = Amount of favorable occurrences
Total number of trials (T(E))
Given that Charlie has 2 fair coins.
If he tosses the pair of coins simultaneously, then the number of samples can be HH, HT, TH, TT.
So to see both sides of both the coins he should toss the coin four times.
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Zion Sun Chairs manufactures 3,575 beach chairs each month. Determine the minimum sales price Zion Sun Chairs must sell each chair for to earn a monthly profit of $55,000, if the total monthly fixed costs are $17,363.50 and the variable cost per chair is $52.17. $72.41 $70.80 $25.38 $20.24
Answer:
A) $72.41------------------------------
Find the total cost to produce 3575 chairs. It includes the fixed costs as well as the variable cost per chair.
17363.50 + 3575*52.17 = 203871.25Add the profit we want to have
203871.25 + 55000 = 258871.25This is the minimum amount to be made from sale.
Find minimum sales price per chair:
258871.25 / 3575 = 72.41 (rounded)This is matching the first answer choice.
Multiply 12. 462 by 13.
Answer:
162.006
Step-by-step explanation:
Find the length and the width.
Answer:
Length would be 6ft
Width would be 4ft
Step-by-step explanation:
24ft^2 is the area as we know 6x4 = 24 and 4 is two less than 6, therefor your answer is 4 and 6.
When Lily left her house in the morning, her cell phone battery was partially charged. The charge remaining in Lily's battery, as a percentage, can be modeled by the equation B=-4t+52,B=−4t+52, where t is the number of hours since Lily left her house. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
The x-intercept of the equation is 13 and its interpretation in the context of the problem is the number of time in hours for which Lily left her house.
What is x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" is equal to zero (0).
Next, we would determine the number of time for which Lily has left her house since in the morning by substituting the value of B with zero (0) as follows:
B = -4t + 52
0 = -4t + 52
4t = 52
Time, t = 52/4
Time, t = 13 hours.
Therefore, the x-intercept of the given equation is (0, 13).
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a frustum is made by removing a small cone from a similar large cone. The height of the small cone is quarter of the height of the large cone. Find the volume of the frustum.
Height of large cone =12
radius of large cone =6
The volume of a frustum is equal to 445.3785 cubic units.
How to calculate the volume of a cone?Mathematically, the volume of a cone can be calculated by using this formula:
Volume of a cone = 1/3 × πr²h
Where:
h represents the height of a cone.r represents the radius of a cone.For the volume of the large cone, we have the following:
Volume of large cone = 1/3 × πr²h
Volume of large cone = 1/3 × 3.142 × 6² × 12
Volume of large cone = 3.142 × 36 × 4
Volume of large cone = 452.448 cubic units.
Since the height of the small cone is quarter of the height of the large cone, we have:
Height of small cone = 1/4 × 12 = 3 units.
Radius of small cone = 12/18 = 3/2 = 1.5 units (similar triangles by AAA).
For the volume of the small cone, we have the following:
Volume of small cone = 1/3 × πr²h
Volume of small cone = 1/3 × 3.142 × 1.5² × 3
Volume of small cone = 3.142 × 2.25
Volume of small cone = 7.0695 cubic units.
Mathematically, we know that the volume of a frustum is made by subtracting the volume of a small cone from the volume of a similar large cone cone:
Volume of the frustum = Volume of large cone - Volume of small cone
Volume of the frustum = 452.448 - 7.0695
Volume of the frustum = 445.3785 cubic units.
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The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
X
-1
0
1
2
y
1
3
2
12
72
Answer:
y=2·6^2
Step-by-step explanation:
Use formula y=a[tex]b^x[/tex], plug in two different points.
72=ab^2
12=ab^1
isolate one so that a is on one side
a=[tex]\frac{12}{b}[/tex]
plug in a into the other equation
72=[tex]\frac{12}{b}[/tex][tex]b^2[/tex]
72=[tex]\frac{12b^2}{b}[/tex]
72=12b
b=6
complete solving for a now
a=2
now put it back into [tex]y=ab^x[/tex]
y=2·6^2
Write the following numbers in words form 1. 126.042 2. 64.1027 3. 67,421.004 4. 621.4021 5. 2.4826 6. 372.6218 7. 87.1648 8. 0.4806 9. 1.2761
Oliva is making granola bars. She will use 17.9 ounces of pastachios, 12.6 ounces of almonds,12.5 ounces of walnuts, and 12.5 ounces of cashews. This amount makes 25 bars. How many ounces of nuts are in each granola bar?
The required number of ounces of nuts would be 1/2 in each granola bar.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
She will use 12.5 ounces of walnuts to make 25 granola bars which is given in the question.
To determine the number of ounces of nuts in each granola bar
Let the number of ounces of nuts in each granola bar would be x
As per the given situation, we can write a ratio as
12.5 ounces : 25 bars = x ounces : 1 bars
⇒ 12.5 / 25 = x / 1
⇒ 1/2 = x
⇒ x = 1/2
Thus, the required number of ounces of nuts would be 1/2 in each granola bar.
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1. prior to cellular radio, mobile radio and telephone services required: a. a high-power transmitter/receiver b. multiple transmitters/receivers c. only one or two dedicated channels d. that many channels be used, which exceed the frequency capacity
Prior to cellular radio, mobile radio and telephone services required
a. high-power transmitter/receiver.
A radio transmitter, also known as a transmitter, is an electronic device that generates radio waves using an antenna in electronics and telecommunications. The transmitter generates alternating current with a radio frequency that is applied to the antenna. The antenna emits radio waves when it is excited by this alternating current.
Typically, the term transmitter refers to equipment that generates radio waves for communication or radiolocation, such as radar and navigational transmitters. Even though they frequently use similar circuits, radio wave generators for heating or industrial purposes, such as microwave ovens or diathermy equipment, are not typically referred to as transmitters.
Transmitters are required components of all radio-communication devices, including radio and television broadcasting stations, cell phones, walkie-talkies, wireless computer networks, and Bluetooth-enabled devices.
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mary invests £12000 in a savings account.
the account pays 1.5% compound intrest per year.
y is inversely proportional to x.
when y=7, x=9
a) work out an equation connecting y and x.
b) work out the value of y when x=21.
pls show step by step working out.
Using a proportional relationship, it is found that:
a) The equation is: y = 63/x.
b) When x = 21, the numeric value is of y = 3.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope represented by the constant of proportionality of k and intercept of 0.
When the two variables are inversely proportional, we have a inverse proportional relationship, in which the output variable y is obtained by the division of k by the input variable x, as follows:
y = k/x.
For this function, when y = 7, x = 9, hence the constant is obtained as follows:
7 = k/9
k = 9 x 7
k = 63.
Hence the equation is:
y = 63/x.
The numeric value of the function when x = 21 is given as follows:
y = 63/21 = 3.
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for sample size n, the margin of error is 3. how many more samples do we need to make the margin of error 0.3?
We will need 100 more samples to make the margin error of 0.3 .
What are sample errors?When the statistical characteristics of a population are estimated from a subset, or sample, of that population, sampling errors are made in statistics. Statistics of the sample (commonly referred to as estimators), such as means and quartiles, usually diverge from those of the total population because the sample does not include all individuals of the population (known as parameters). The sampling error is defined as the discrepancy between the sample statistic and the population parameter. For example, if one measures the height of a thousand individuals from a population of one million, the average height of the thousand is typically not the same as the average height of all one million persons in the country.acc to our question-
Margin error is 3Margin error tobe 0.3 SAMPLE size ?0.3 =3/10Ratio =3/3/10=10n^2=10×10=100Samples in size of 100Hence, We will need 100 more samples to make the margin error of 0.3 .
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The cost of a pizza varies directly as the square of its radius. If a
pizza with a 6 inch radius costs $8.00, how much should a pizza with
an 11 inch radius cost?
The cost of a pizza with an 11 inch radius is $26.86
In this question, the cost of a pizza varies directly as the square of its radius.
Let C be the cost of pizza and r be the radius of Pizza.
We have been given the direct proportionality between the cost of pizza and the radius of Pizza.
C ∝ r²
If a pizza with a 6 inch radius costs $8.00
8 = k * 6^2
where k is the proportionality constant.
8 = k * 36
k = 0.222
We need to find the cost of pizza with an 11 inch radius.
so, we get an equation,
C = k * 11^2
substitute above value of k
C = 0.222 * 11^2
C = 0.222 * 121
C = $26.86
Therefore, the cost of a pizza with an 11 inch radius is $26.86
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match to form complementary angle pairs. sin(14) cos(37) sin(49) cos(66) sin(41) cos(24)
cos(76) —>
sin(66)—>
sin(53)—>
cos(49)—>
Answer:
see explanation
Step-by-step explanation:
using the cofunction identities
cos x = sin(90 - x)
sin x = cos(90 - x)
then
cos76° = sin(90 - 76)° = sin14°
sin66° = cos(90 - 66)° = cos24°
sin53° = cos(90 - 53)° = cos37°
cos49° = sin(90 - 49)° = sin41°
The Matched values are
cos(76) —> sin (14)
sin(66)—> cos (24)
sin(53)—> cos (37)
cos(49)—> sin (41)
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
For complementary angle,
a+ b= 90
So, sin (14)
= cos (90 - 76)
= cos 76
and, cos (37)
=sin (90 - 53)
= sin (53)
and, sin (49)
= cos (90- 41)
= cos 41
and, cos (66)
= sin (90 - 24)
= sin 24
Then, the Matched values are
cos(76) —> sin (14)
sin(66)—> cos (24)
sin(53)—> cos (37)
cos(49)—> sin (41)
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3 math questions for 50 points.
what is the most appropriate measure of central tendency to use in determining the average time it takes students to graduate from college, assuming that a few students take an extraordinary long time to finish their degree, and why it is the most appropriate?
As a result of using all values in the data set to calculate an average, the mean is the most widely used measure of central tendency.
Why is central tendency important?A measure of central tendency, also known as a measure of center or a measure of central placement, is a summary statistic that seeks to summarize an entire collection of data by using a single number that corresponds to the middle or center of the distribution.
Where can you locate the central tendency?You are probably most familiar with the central tendency measure known as the mean, which is the arithmetic average. It is fairly easy to determine the mean. Simply add up all the values then divide by the dataset's observation count.
What use do central tendency metrics serve in evaluating student learning?The teacher can get a mathematical breakdown of how well the children are doing through measures of central tendency.
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What is the constant term of h(x) if h(x) = f(x) · g(x)
when f(x) = x - 7 and g(x) = (2x + 3)²?
Main Answer:
The constant term of h(x) is 4x^3 - 16x^2 - 75x - 63\
Supportive Question and Answer:
What is an Algebraic Expression?
An expression that includes variables, constants, and algebraic operations is an algebraic expression in mathematics (addition, subtraction, etc.). Terms combine to form expressions.
Solution Explained:
Given,
h(x) = f(x).g(x)
h(x) = (x-7)(2x+3)^2
now, simplify,
(x-7)(2x +3) Expand the expression
(x-7)((2x)^2+2 X 2x X 3+3^2) Simplify the expression
(x-7)(2^2 X x^2 +2 X 2x X 3+3^2) Calculate
(x-7)(4x^2+2 X 2x X 3 + 9) Mutiply
(x-7)(4x^2 + 12x + 9) Expand the expression
x X 4x^2 + x X 12x + x X 9 - 7 X 4x^2 - 7 X 12x -7 X 9 Mutiply
4x^3 + 12x^2 + 9x - 28x^2 84x - 7 X 9 Calculate
4x^3 + 12x^2 + 9x - 28x^2 - 84x - 63 Combine like terms
Hence, the constant term for h(x) is 4x-16x-75x 63.
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can the sum X to the power of two plus X to the power of three be written in simpler form? explain.
The sum X to the power of two plus X to the power of three be written in simpler form is X² + X³.
What is an exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Based on the information given, this will be illustrated as X² + X³. In this case, it illustrate the addition of exponents.
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What is the area of the parallelogram shown?
A= In^2
The area of the parallelogram shown is 6.6 square inches.
According to the question,
We have the following information:
We have a parallelogram with base 2.2 inches and height 3 inches.
We know that the following formula is used to find the area of parallelogram:
Area of parallelogram = Base*height
Area of parallelogram = 2.2*3
Area of parallelogram = 6.6 square inches
(Please note that area of any object or figure is always given in square units. For example, it may be square meters, square inches, square feet, etc.)
Hence, the area of the parallelogram shown is 6.6 square inches.
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Solve for c. You must show ALL of your work.
6c + 14 = -5c + 4 + 9c
Answer:
c = -5
Step-by-step explanation:
6c + 14 = -5c + 4 + 9c
1) We want to first combine the c values on the right side. This would give us 6c + 14 = 4c + 4.
2) Next, we want to move the c value to one side of the equation. This means we would subtract 4c from the right side. This gives us 2c + 14 = 4.
3) We can then subtract 14 from the left side to isolate the c value. This gives us 2c = -10.
3) We can then divide both sides by 2 and get the answer for c.
This gives us c = -5.