Juan has x quarters and y dimes, having a minimum of 16 coins worth at most $3 combined. No less than 4 of the coins are quarters. Solve this system
of inequalities graphically and determine one possible solution.
Answers
Answer:
See belowStep-by-step explanation:
Quarter - 25¢, dime - 10¢, total - $3 = 300¢
Inequalities:
x + y ≥ 1625x + 10y ≤ 300x ≥ 4See attached for graphical solution. There are many solutions.
Possible one solution:
5 quarters and 17 dimes
Related Questions
You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?
Answers
Answer:
9.75*1.2= 11.7min (time spent reading in science)
24.5*0.8=19.6min (time spent reading play)
19.6+11.7= 31.3min (total time spent reading)
A survey concluded that 5 out of every 6 teachers
drink at least one cup of coffee in the morning
before school. If Lubbock Middle School has 78
teachers, approximately how many teachers
would you predict drink at least one cup of coffee?
Answers
Answer:
5+6= 11
78-11= 67
That is the final answer
Work out the circumference and area of glass needed for the top of a display cabinet which has a diameter of 1.8m
Answers
Answer:The area of a circle with radius 0.2865 is 0.2579
Step-by-step explanation: Area of a circle in terms of radius:
Area = π·r2 = 3.14·0.292 = 0.26 square meters(*)
Area of a circle in terms of diameter:
Area = π·(d
2
)2 = 3.14·(0.57
2
)2 = 3.14·(0.29)2 = 0.26 square meters(*)
Area of a circle in terms of circumference:
Area = C2
4π
= 1.82
4π
= 3.24
(4·3.14)
= 3.24
12.56
= 0.26 square meters(*)
The circumference of circle is 5.652m.
What is Circumference of circle?The circumference of a circle is its boundary or the length of the complete arc of a circle.
The formula for the circumference of a circle is expressed using the radius 'r' of the circle and the value of 'pi'. It is expressed as, Circumference of a circle formula = 2πr. While using this circumference formula, if we do not have the value of the radius, we can find it using the diameter.
For example:
If the radius of the circle is 25 units, find the circumference of the circle. (Take π = 3.14)
Solution: Given, radius = 25 units
Let us write the circumference formula and then we will substitute the value of r (radius) in it.
Circumference of circle formula = 2πr
C = 2 × π × 25
C = 2 × 3.14 × 25 = 157 units
Therefore, the circumference of a circle is 157 units.
Given:
diameter= 1.8 m
radius= 0.9m
Now, Circumference of circle
=2πr
= 2* 3.14 * 0.9
= 5.652 m
Hence, the circumference of circle is 5.652m.
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A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision. True or False: If the level of significance had been chosen as 0.05, the company would market the new anesthetic.
Answers
Testing the hypothesis using the z-distribution, it is found that the statement is False.
At the null hypothesis, we test if the mean is still of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, we test if the mean is of less than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are as follows: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
The p-value of the test is the probability of finding a sample mean of 7.1 or lower, which is the p-value of z = -1.5.
Looking at the z-table, z = -1.5 has a p-value of 0.0668.
Since the p-value of the test is 0.0668 > 0.05, there is not enough evidence to conclude that the time is lower, hence the statement is False.
A similar problem is given at https://brainly.com/question/16695704
Elliot ran 4 laps in 209.2 seconds. If he ran at the same
speed for each lap, what was his time for each lap?
Answers
Answer: 52.3 seconds
Step-by-step explanation:
209.2 divided by 4
which is 52.3 seconds
1.
Write the equation of the parabola in vertex form.
A. y = –(x – 1)2 + 3
B. y = –x2 – 4
C. y = –x2 + 3
D. y = –x2 + 4
Answers
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} h= 0\\ k = 4 \end{cases}\implies y=a(x-0)^2+4~\hfill \textit{we also know that} \begin{cases} x = 1\\ y = 3 \end{cases} \\\\\\ 3=a(1-0)^2+4\implies 3=1a+4\implies \boxed{-1=a} \\\\\\ y=-1(x-0)^2+4\implies \blacktriangleright y = -x^2+4\blacktriangleleft[/tex]
Answer:
A. y = –(x – 1)2 + 3 = Rewrite in vertex form and use this form to find the vertex (h,k). (1,3)= Already in vertex form. y=−(x−1)2+3
OR
D. y = –x^2 + 4 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,4)= Find the vertex form. y=−(x+0)2+4
Step-by-step explanation:
A. y = –(x – 1)2 + 3 = Rewrite in vertex form and use this form to find the vertex (h,k). (1,3)= Already in vertex form. y=−(x−1)2+3
B. y = –x^2 – 4 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,−4)= Find the vertex form. y=−(x+0)2−4
C. y = –x^2 + 3 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,3)= Find the vertex form. y=−(x+0)2+3
D. y = –x^2 + 4 = Rewrite in vertex form and use this form to find the vertex (h,k). (0,4)= Find the vertex form. y=−(x+0)2+4
Please help quick!!!
Answeer two questions
Answers
Answer:
x = 4[tex]2^2*3*7[/tex]Step-by-step explanation:
First, we add 16 and 28 [tex]16+28=44[/tex]
Now we have to solve for x
We know we have to do parenthesis first so [tex](4+7)=11[/tex]
[tex]44=x(11)[/tex]
Then we divided both sides by 11
[tex]\frac{44}{11} =\frac{11x}{11}[/tex]
[tex]x=4[/tex]
To find the Prime Factorisation of 84 we have to divide 84 by the smallest prime number which is 2
So [tex]\frac{84}{2} = 42[/tex]
Since 42 is an even number we can still divide it by 2
So [tex]\frac{42}{2} = 21[/tex]
Now we can divide 21 by the 2nd smallest prime number which is 3
So [tex]\frac{21}{3} = 7[/tex]
So the prime factors of 84 would be [tex]2*2*3*7[/tex] or [tex]2^2*3*7[/tex]
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 feet deep at its deepest point. If the pool is being filled at a rate of 0.8ft3/min, how fast is the water level rising when the depth at the deepest point is 5 ft
Answers
Using implicit differentiation, it is found that the water level is rising a rate of 0.001 ft/sec.
The volume of a pool of length l, width w and height h is given by:
[tex]V = lwh[/tex]
Applying implicit differentiation, the rate of change of the volume is given by:
[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]
Neither the width nor the length changes, hence [tex]\frac{dl}{dt} = \frac{dw}{dt} = 0[/tex], and:
[tex]\frac{dV}{dt} = lw\frac{dh}{dt}[/tex]
We are given that:
[tex]\frac{dV}{dt} = 0.3, l = 20, w = 40[/tex], hence:
[tex]\frac{dV}{dt} = lw\frac{dh}{dt}[/tex]
[tex]0.8 = 20(40)\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = \frac{0.8}{800}[/tex]
[tex]\frac{dh}{dt} = 0.001 [/tex]
Water level is rising at rate of 0.001 ft/sec.
A similar problem is given at https://brainly.com/question/9543179
2. Twenty machines can embroider 1000 sweaters in 5 days.
a. In how many days can 10 machines embroider the same 2000 sweaters?
b. How many machines would needed to embroider 5000 sweaters in 10 days?
Answers
Answer:
a) 20 days
b) 50 machines
a fingernail grows about 0.1 millimeter eachday how much does a fingernail grow in 90 days
Answers
Answer:
9 mm
Step-by-step explanation:
90*0.1=9
A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousands of people), These data are available in data set ConcurrentUsers.
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
(a) Compute the sample mean, variance, and standard deviation of the number of concurrent users.
(b) Estimate the standard error of the sample mean.
(c) Compute the five-point summary and construct a boxplot.
(d) Compute the interquartile range. Are there any outliers?
(e) It is reported that the number of concurrent users follows approximately Normal distribution. Does the histogram support this claim?
Answers
Since there is no number greater or less than the above one, it doesn't contain any outlier.
The given data set is
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
What is variance?The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.
(a) Sample Mean = The Sum of the given terms/Number of terms
So, sample mean as µ=17.954
Variance can be denoted by [tex]s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2[/tex]
=9.97
Standard deviation s=√9.97
=3.16
b) The standard error can be denoted by:
s/√n-1 = 3.16/√49
=0.45
c) For the given data,
The value of the least sample number =12.0
The value of the greatest number in sample=24.1
So, Q1=15.83
Median =17.75
Q3=19.88
d) The IQ range would be as follows:
Q3-Q1=19.88-17.75
=4.05
The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.
Since there is no number greater or less than the above one, it doesn't contain any outlier.
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QUICK! I NEED HELP ASAP
---------------------
w−(−1/3)=2.05
Enter your answer as a mixed number in simplest form in the box.
w =
Answers
Answer:
w=6
Step-by-step explanation: you should just look it up on line
Answer:
The correct answer is 1 43/60
Step-by-step explanation:
you convert 2.05 to a fraction and get 2 23/60 - (-1/3) = 1 43/60
i also took the test
Which table represents y as a function of x?
X
1
2
0
0
1
2
3
3
X
-1
-1
o
2
1
0
2
3
X
V
1
10
2
3
0
1
2
3
x
V
-1
-1
0
-1
Answers
Answer:
reduce
Step-by-step explanation:
become it is un solvef
4.
Faiza had 1/2 litres of juice in a jug. She drank of it in the 1/4
morning. Her sister added 3/8 ſlitres more in the jug. How much juice
is in the jug now?
Answers
Step-by-step explanation:
1/4*0.5lit=0.125lit
0.125+(3/8*1000)=0.125+0.375=0.5lit
61 = 7 - 6x
this is 8th grade math
Answers
Answer:
x = -9
Step-by-step explanation:
Solve:
61 = 7 - 6x54 = -6xx = -9-Chetan K
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: x = -9 }}}}}}}}[/tex]
Step-by-step explanation:
[tex]61 = 7 - 6x\\61 - 7 = - 6x\\54 = -6x\\-\frac{54}{6} = x\\\boxed{- 9 = x}[/tex]
______
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
1/4 of students in a class play a musical instrument of those students 2/5 also speak a second language. What fraction of the whole class plays a musical instrument and speak a second language
Answers
Answer:
Step-by-step explanation:
Say the class has 20 students
20(1/4) = 5 play instruments
5(2/5) = 2 speak a second language
2 / 20 = 1/10
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=59(0.59)^x
what is the % increase
Answers
Answer:
Step-by-step explanation:
y=59(0.59)ˣ
As the number under the exponent is less than 1, this is a decay function.
Value of y will be decreased by (1.00 - 0.59)100 = 41% for each unit increase in x.
Does anyone know this?
Answers
Answer: 8.6?
Step-by-step explanation:
Statistics question 8
A survey is sent out to a sample of voters about an upcoming election via text messaging. Do you think this will produce an unbiased sample? Give your reasons for your answer.
Answers
Answer:
This will not produce an unbiased sample
Step-by-step explanation:
Reason for this is that not many people have phones believe it or not, therefore you are discriminating against the people without phones
5
which ratio is greater than 5/8
12/24
3/4
15/24
4/12
Answers
Answer:(B)
Explanation: 3/4. Hope this helped :)
Please help me quickly thank you!
Answers
Answer:
i think it is a if its wrong sorry
Step-by-step explanation:
Answer:
its 115
Step-by-step explanation:
if you take the angle and look at the end if the triangle it shows the end of the angle as 50. if 50 is the top and right angle and you see another angle that looks like that spliting it in half it is 115. its 115 tho because the right side of the missing angle is bigger than the left. hopefully this helps
solve pls brainliest
Answers
Answer:
w=2.5
Step-by-step explanation:
divide 12.5 by 5: 12.5/5=2.5, so w=2.5
Answer:
2.5
Step-by-step explanation:
To solve for something you want to get it alone on one side. To do this for this problem you want to divide both sides by 5. This comes out to 2.5
If a deck of cards is 7/10 of an inch tall, how tall is the package of 6 decks of cards?
Answers
Then 6 will be 7/10 * 6 or 42/10 inches
A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and x is used to estimate . a. What is the probability that the sample mean will be within 65 of the population mean
Answers
Answer:
z(195) = (195-200)/50 = -0.1
z(205) = (205-200)/50 = +0.1
P(195 < x < 205) = p(-0.1 < z < 0.1) = 0.0797
Step-by-step explanation:
step by step is in they're
Using the normal distribution and the central limit theorem, it is found that there is a 1 = 100% probability that the sample mean will be within 65 of the population mean.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 200, hence [tex]\mu = 200[/tex].The standard deviation is of 50, hence [tex]\sigma = 50[/tex].The sample size is of 100, hence [tex]n = 100, s = \frac{50}{\sqrt{100}} = 5[/tex].We want the probability that the sample mean will be within 65 of the population mean, hence:
[tex]Z = \frac{65}{s}[/tex]
[tex]Z = \frac{65}{5}[/tex]
[tex]Z = 13[/tex]
The probability is P(|Z| < 13), which is the p-value of Z = 13 subtracted by the p-value of Z = -13.
Looking at the z-table:
Z = 13 has a p-value of 1.Z = -13 has a p-value of 0.1 - 0 = 1
1 = 100% probability that the sample mean will be within 65 of the population mean.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
simplify fully
2√3 x 3√8
Answers
Answer: 12√6
Step-by-step explanation:
Given the expression;
2√3 * 3√√8
= (2*3) * (√3*√8)
= 6 * (√24)
= 6 * √4*6
= 6 * (2√6)
= (6*2)√6
= 12√6
Therefore, the simplified form of the expression is 12√6.
Solve for m.
35m>−30
a. m>−50
b. m<−50
c. m>−18
d. m<−18
Answers
Answer:
A.
m>-50
i asked for all the quizzes answers on my questions and i will tell you!
Step-by-step explanation:
k12
Answer:
m<-50
Step-by-step explanation:
Answer the following:
a) 3-8=
b) -6 -4 =
c) -2 + 6 =
Answers
Answer:
a) =5
b) = -10
c) = 4
Step-by-step explanation:
what is the value of x?
(3x-1)º
Answers
(3x-1)))))]))))))))])))))))))))))])))))))))))))))))))))))
Do Babies Understand Probability? Can babies reason probabilistically? A study1 investigates this by showing ten- to twelve-month-old infants two jars of lollipop shaped objects colored pink or black. Each infant first crawled or walked to whichever color they wanted, determining their "preferred" color. They were then given the choice between two jars that had the same number of preferred objects, but that differed in their p
Answers
Answer:
Step-by-step explanation:
Wow, that’s interesting!
Is this a question?
Answer: 3x10^2 mi
example:
Answers
Answer:
3000
Step-by-step explanation:
Answer:
300
Step-by-3step explanation: