The compound inequality that represents the number of ounces of clay, "c", Elisa uses to make one vase of either size is [(c ≤ 4.5) or (c ≥ 12)].
As per the question statement, Elisa uses no more than 4.5 ounces of clay to make a small vase and at least 12 ounces of clay to make a large vase.
We are required to find out the compound inequality that represents the number of ounces of clay, that she uses to make one vase of either size.
Let the number of ounces of clay, that Elisa uses to make one vase of either size be denoted by "c".
Since, Elisa uses no more than 4.5 ounces of clay to make a small vase, The words "no more than" implies maximum, i.e., "either less than or equals to" and hence, for a small vase, "c" must be less than or equal to 4.5 oz, which gives [tex](c \leq 4.5)[/tex] ...(1)
On the other hand, to make a large vase, she uses at least 12 ounces of clay where the words "at least" means minimum, i.e, "either more than or equals to" and hence, for a large vase,
Thus "c" is more than or equal to 12 oz, which gives [tex](c \geq 12)[/tex]...(2)
Now, combining (1) and (2), we get [(c ≤ 4.5) or (c ≥ 12)] which is option "d".
compound inequality: In mathematics, a compound inequality is an inequality that combines or "compounds" two simple inequalities.To know more about compound inequality, click on the link below.
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solve for x please, ty
By using properties of right triangles, we will see that the value of x is 7.72
How to find the length of side x?In the image we have a set of right triangles, and we want to find the value of x.
Let's look at the large triangle in the left, we know that the hypotenuse measures 18 units and one angle measures 64°, with that information we can get the adjacent side (the dashed line, let's call it A) to that angle:
Cos(64°) = A/18
18*cos(64°) = A = 7.05
Now we know one of the cathetus of the smaller right triangle (the one we can see in the right side). Here we know one angle that measures 20° and the opposite to that angle measures 7.05
Then the value of x is given by the equation:
x = 7.05/sin(20°) = 7.72
We conclude that the value of x is 7.72
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第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows the correct answers to 4 questions and guesses the answers to the other 6 questions. it turns out that the student answered the first question correctly. what are the chances that the student was merely guessing?
The chances that the student was merely guessing is 1/3.
Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.
denoted by
[tex]P(A/B)=\frac{P(A)*P(B/A)}{P(B)}[/tex]
let A be the event that the student knows the answer .
B be the event that the student does not knows the answer .
and
E be the event he gets answer correct .
According to the given question
[tex]P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}[/tex]
Probability that the answer is correct ,given that he knows the answer is
[tex]P(E/A)=1[/tex]
Probability that the answer is correct ,given that he guesses it is
[tex]P(E/B)=\frac{1}{3}[/tex] [as the MCQ has 3 options and only one is correct]
We need to find the probability that he guesses the answer given that it is correct.
Required probability [tex]P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}[/tex]
Substituting the values we get
[tex]P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }[/tex]
[tex]=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}[/tex]
Therefore , the chances that the student was merely guessing is 1/3.
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27. Solve the equation:
2(9x-6)=6(3x-2)+2
Answer:
2
Step-by-step explanation:
18x -12 = 18x -12 +2
18x -12 = 18x -10
18x cancel each other out
-12 = -10
-12 + 12 = -10 + 12
add 12 to each side
= 2
A shopping mall has $20,000 to spend on new tiles for the floor. If each tile costs $2, how many tiles can the mall buy
oopss wrong one my bad
Directions: Use what you have learned this week in class to answer the question. You should show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
please help i need this done HELPPPPPPPASAP
Question:
Evelyn has some paracord with a total length of 5-½ meters. She needs to cut the cord into 12 equal portions. What is the length of each piece written as a fraction? Is this value rational or irrational; why?
Work/Reasoning & Answer:
Answer: Nachelle is 1.35 meters tall. At 2 p.m., she measures the length of a tree's shadow to be 24.15 meters. She stands 19.2 meters away from the tree, so … that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Step-by-step explanation:
There are 18 cans of peas in a case. each can of peas is 12 ounces. if a case of peas costs $14.22, what is the unit price per can of peas? a. $0.07 b. $0.08 c. $0.79 d. $1.19 please select the best answer from the choices provided a b c d
The correct answer is option c. $0.79
As per the question:
No. of pea cans in a case = 18 cans
Weight of each can of peas = 12 ounces
Price of a case of peas = $14.22
The information regarding the weight of each can is redundant in this question and therefore, is not used for solving the question
Therefore, the formula to be used for solving:
Price per unit can of peas= (Price of a case of peas/No of pea cans in a case)
Price per unit can of peas= ($14.22/18)
The price per unit can of peas= $0.79
Hence, option c is the correct answer
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Robert wants to buy a digital piano at a yard sale.
during a summer thunderstorm, the temperature drops and then rises again. the rate of change of the temperature during the hour and a half after the storm began is given by t(h) = 9.5h3 − 15.5h2 + 17.4h − 10.12°f per hour
According to the given statement One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.
How is the rate of temperature change determined?Subtract the final temperature from the starting temperature to get the temperature change (T). Multiply the temperature change by the sample's mass. Share the product's energy and heat output.
The equation is C = Q / (T m).
According to the given information:Consider the function t as defined below. t(h)=9.5h – 15.52 +17.4h-10.12
Here,
h is the number of hours after storm began.
The function t represents the rate of change of temperature in °F per hour during the hour and a half after the storm began.
During the storm, the temperatures lowers and then rises.
One and half hour after the summer thunderstorm began, the temperature was approximately 1.0°F flower than at the start of the storm.
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Find the distance between the two points rounding to the nearest tenth (if necessary)(9,5)and(4,-7)
Answer:
Step-by-step explanation:
graph represents a vertical stretch by a factor of 2 followed by a translation 1 unit up of the graph of f(x)=x
Answer: A vertical stretch of f(x)f(x) is of the form g(x)=kf(x)g(x)=kf(x) where k>1k>1. A vertical stretch of 5 then means that g(x)=5f(x)=5(x+2)=5x+10g(x)=5f(x)=5(x+2)=5x+10.
Step-by-step explanation: so i really hope this helps <3 (:
-9x(-9)x(-9) what does it =
Answer:
-729
Step-by-step explanation:
-9 × (-9) × (-9) =
= 81 × (-9)
= -729
Write an equivalent expression by distributing the "-−" sign outside the parentheses:
-(-9d+4.9)
Step-by-step explanation:
- 1(- 9d + 4.9)
9d -4.9 would be your answer because the negative sign outside the parenthesis equals -1. Hope that helps!!
Answer:
9d - 4.9
Step-by-step explanation:
- ( - 9d + 4.9) ← multiply each term in the parenthesis by - 1
= 9d - 4.9
You birthday toy box it is 24 inches tall and 36 inches wide and 18 inches deep what is the volume of the toybox
Answer: 15,552 inches cubed
Hope this helps!
1-8 closure property fundamentals of algebra
The closure property is defined as the completion of a collection of numbers by using arithmetic operations.
The closure property asserts that when an arithmetic operation such as addition, subtraction, multiplication, or division is done on any two numbers in the set, the response is another number from the same set.The closure property essentially asserts that when we add or multiply any two real numbers, we will obtain just one unique response, which will likewise be a real number. The commutative property asserts that the order of the numbers does not matter when adding or multiplying real numbers.For example, the closure property is true for whole numbers over addition and multiplication.To learn more about closure property, visit :
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Find the (a) mean, (b) median, (c) mode.
Listed below are the weights in pounds of 11
players randomly selected from the roster of a
championship sports team. Are the results likely to
be representative of all players in that sport's
league?
235, 216, 290, 273, 287, 217, 206, 284, 287, 285,
285
Answer:
Mean = 260.45
Median = 284
Mode = 287, 285 (there are 2 modes)
Since it is a championship sports team , it is likely that this data is representative of all players in that league
Step-by-step explanation:
Mean = Sum of the weights/11 = 2865/11 = 260.45
Median is the middle of the data set when the data values are arranged in ascending order
In ascending order: 206, 216, 217, 235, 273, 284, 285, 285, 287, 287, 290
Mode is the value that occurs the maximum number of times in a data set
Here there are 2 modes 285 and 287 both of which occur twice
State which metric unit you would probably use to measure each item.
mass of a book
The gram and kilogram are two units used to measure mass in the metric system .
We need to find the metric unit to find mass of a book.
What is Mass?The resistance that a body of matter offers to a change in its speed or position upon the application of a force.
1 kilogram of a substance is equal to 1000 grams and 1 gram is equal to 0.001kg. Therefore, to convert the mass of a book weighing 12,321g into kg, we will multiply it by 0.001kg. The book's mass in kg is 12.321 kg.
Therefore mass is measured by kilogram or grams.
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PLEASE HELP ITS DUE TODAY
Answer: 1/36 ==> c
Step-by-step explanation:
[tex]6 ^{-2}[/tex]=
[tex]6 ^{-1*2}[/tex]=
[tex](6^{-1}) ^{2}[/tex]=
[tex](\frac{1}{6} ) ^{2}[/tex]=
[tex]\frac{1^{2}}{6^2}[/tex]=1/36 ==> c
Find the first term, the common difference, and the sum of the first thirty-three terms of an arithmetic sequence in which t5=8, t10 = 15.5
The first term, the common difference, and the sum of the first thirty-three terms of the arithmetic sequence is 2, 1.5 and 68.5 respectively.
Arithmetic sequencet5 = 8t10 = 15.5First term = aCommon difference = da + 4d = 8
a + 9d = 15.5
Subtract to eliminate a9d - 4d = 15.5 - 8
5d = 7.5
d = 7.5/5
d = 1.5
substitute into
a + 4d = 8
a + 4(1.5) = 8
a + 6 = 8
a = 8 - 6
a = 2
Sum of the first 33 termsS33 = n/2 + {2a (n - 1)d}
= 33/2 + {2×2 + (33 - 1)1.5}
= 16.5 + {4 + (32)1.5}
= 16.5 + (4 + 48)
= 16.5 + 52
= 68.5
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Which two integers is –135 between?
Answer: -136 and -134
Step-by-step explanation:
Answer: 11 and 12
Step-by-step explanation:
you have to find the square root of 135. The square root of 135 is 11.6189
so the answer is between 11 and 12
Jason biked 60 miles. he averaged 15 miles per hour. how long did he ride?
Answer:
4 hr
Step-by-step explanation:
Hollie earned $1230 a week last year. What was her yearly salary?
Answer: 63,960
Step-by-step explanation:
Answer:
$63960
Step-by-step explanation:
tbh if i made that salary tho
THIS IS FOR 50 POINTS AND A BRAINLYS! BUT IF IT WRONG I WILL REPORT YOU!
When you add or subtract whole numbers, always start with the ______.
hundreds
tenths
ones
tens
Answer:
ones
Step-by-step explanation:
always start with the smallest number
Answer:
ones
then tens, tenths, hundreths
Step-by-step explanation:
hope this helps
please help i’ll give brainliest!!
LABD = 99° and ZCBD = 9x - 9
x = [?]
Answer:
x = 12
Step-by-step explanation:
Given congruent triangles ABD and CBD, and expressions for corresponding angles ABD and CBD, you want the value of x in the expression for angle CBD.
CongruenceCorresponding parts of congruent triangles are congruent, so we know ...
∠ABD ≅ ∠CBD
99° = (9x -9)° . . . . use the given expressions
11 = x -1 . . . . . . . . divide by 9°
12 = x . . . . . . . . add 1
The value of x is 12.
8
179 180 150 12
10.
30 40 50 60 80
150 140 130 120 110 100-
THEM
-90-
Name 2 Right angles
A
D
100 110 120 130 140 150 1
75 60 50 40 30
80
&
Answer:
Step-by-step explanation:
A
The base of Jada's toy box is a rectangle with length 4 feet and width 3 feet. The height of the toy box is 2 feet. What is the volume of the toy box?
The volume of the toy box is 24 cubic feet.
What is the volume of the toy box?
Remember that for a rectangular prism of length L, width W, and height H the volume is given by the formula:
V = L*W*H
In this case, we know that:
L = 4ft
W = 3ft
H = 2ft
Replacing that in the volume formula we get.
V = 4ft*3ft*2ft = 24ft^3
The volume of the toy box is 24 cubic feet.
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Pls helppp me i will give points
Answer:
The first one I think xx
Calculate the unknown angle of k
Answer:
60°
Step-by-step explanation:
since it is an equilateral triangle all sides are equal. let's make the other 2 angles k.
k+k+k=180°{sum of angles in a triangle}
3k=180°
k=60°(each of them is 60°)
Solve the equation using square roots. x² + 20 = 4
no real number solutions
√24
+√24
-4
There are no real solutions for the equation x² + 20 = 4.
Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.
Consider the equation,
x² + 20 = 4
Subtracting 20 from each side of the equation.
x² + 20 - 20 = 4 - 20
x² = - 16
√x² = √ - 16
x = ± √-16
x = ± 4√(-1)
x = ± 4i
Since i is the complex number that is equal to √-1. Therefore, there are no real solutions to the equation.
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Answer:no real number solutions
7.2×10 to the power of -8 ÷ 3×10 to the power of -2
Answer:
2.4×10−6
Step-by-step explanation:
Out of the four measures in the survey, which two variables have the highest correlation?
variables having the highest correlation are -
Wait time acceptable RespectWhat does it mean to have a high correlation?A strong correlation, also known as a high correlation, indicates that two or more variables have a significant link with one another, whereas a weak or low correlation indicates that the variables are rarely associated. The process of examining the strength of such association with the use of available statistical data is known as correlation analysis.
Complete question -Out of the four measures in the survey, which two variables have the highest correlation?
Patient would recommend and Enough informationWait time acceptable and RespectPatient would recommend and RespectPatient would recommend and Wait time acceptableTo learn more about correlation from given link
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