Answer:
I think it is to my advantage to switch my choice to door 2.
Step-by-step explanation:
Under the normal circumstances, switching to another choice has increased one,s chances to getting a car which is 2/3 and just sticking to a choice gets one 1/3.
Since we already have a vague idea bout what is already behind doors 1 and 3, I think it is to my advantage to switch my choice to door 2.
To estimate what percent of employees are at least 1 minute late for their work in the morning, a company put registers at the office entrance that could identify each employee and collect data about the time when they arrived at work. The company found that 18% of the employees are late. What is the sample and what is the population
Answer:
Population: all company employees.
Sample: arrival times of the employees during the data collection.
Step-by-step explanation:
In this case, the population is the group about which the company wants to estimate a parameter (proportion of employees who are at least 1 minute late for work). This group is all employees of the company.
The sample is comprised of the arrival times of the individuals who went to work during the data collection by the entry time recording machine. The proportion of the sample is calculated on these arrival times, with which the proportion of the population will be inferred.
Two scientists are measuring the temperature of liquids in two beakers. Liquid A has a temperature of -105.4° C and Liquid B has a temperature of -10.83 ° C.
Which liquid is warmer and why?
Answer: Liquid B is warmer.
Step-by-step explanation:
The data that we have is:
Temperature A = -105.4° C
Temperature B = -10.83° C
We want to know which liquid is warmer, this is equivalent to see which temperature is bigger, Ta or Tb.
Now, you can see that temperature A is larger in module, but this is a negative number.
When we work with negative numbers, the bigger ones are the ones closer to zero. This means that for example, -1 is larger than - 150.
From this, we can conclude that Liquid B is warmer.
Another way to see it is with a change of units.
If we have A degrees Celcius, and we want to to transform it into Kelvins, we must add 273.15°.
Then we have:
Ta = (-105.4° + 273.15°) K = 167.75 K
Tb = (-10.83 ´273.15°) = 262.35 K
where you can see that liquid B has a larger temperature.
Answer:
Liq A= -105.4ºC < LiqB= -10.83ºC
Step-by-step explanation:
Hello!
The easiest and quickest way to compare two negative values and determine which one is greater is by sorting them in a number line. (Check attachment)
You can also compare the absolute value of the temperature measurements. |10.83| < |105.4|. As the negative value decrease, the absolute value increases.
So the temperature of Liquid B > Temperature of liquid A.
I hope this helps!
what is the next term in the arithmetic sequence? 9,17,25,33,...
Answer:
41
Explanation:
To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.
Take a look at the arithmetic sequence given:
9, 17, 25, 33,...
Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.
9 - first term
17 - second term
17 - 9 = 8
So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.
9, 17, 25, 33,...
9 + 8 = 17
17 + 8 = 25
25 + 8 = 33
So, since 'adding eight' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next term.
9, 17, 25, 33,...
33 + 8 = 41
9, 17, 25, 33, 41,...
Therefore, the next term in the arithmetic sequence is 41.
Match each transformation of f(x) with its description. shifts f(x) 4 units down arrowRight compresses f(x) by a factor of toward the y-axis arrowRight stretches f(x) by a factor of 4 away from the x-axis arrowRight shifts f(x) 4 units right arrowRight
The different transformations have been matched to their respective operations below.
How to Interpret Transformations?Parent function is given as: f(x) = 2x - 6
Thus, the transformations are:
When f(x) shifts 4 units down, we have;
f(x) → f(x) - 4
⇒ g(x)= 2x - 6 - 4 = 2x - 10
When it stretches f(x) by a factor of 4 away from the x-axis;
f(x) → 4*f(x)
⇒ g(x) = 4(2x - 6) = 8x - 24
When it shifts f(x) 4 units right;
f(x) → f(x - 4)
⇒ g(x) = 2(x - 4) - 6 = 2x - 14
When it compresses f(x) by a factor of 4 toward the y-axis;
f(x) → f(4x)
⇒ g(x) = 2*4x - 6 = 8x - 6
Read more about Transformations at; https://brainly.com/question/4289712
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b) On one rectangular coordinate system, show approximate radian values for one circle, as
well as the degree values for every 1/8 of one circle. (2 pts.)
Answer:
(See explanation below for further details)
Step-by-step explanation:
Any point in rectangular form can be described in terms of radius and angle of the circle. That is:
[tex]P = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]
Since circunference is divided into 8 equal parts, the point can be modelled as:
[tex]P = (r\cdot \cos \frac{2\pi\cdot n}{8}, r \cdot \sin \frac{2\pi\cdot n}{8} )[/tex]
The approximate radian and degree values for one circle are:
Radians
[tex]0 (0), \frac{\pi}{4} (0.785), \frac{\pi}{2} (1.571), \frac{3\pi}{4} (2.355), \pi (3.142), \frac{5\pi}{4} (3.925), \frac{3\pi}{2} (4.71), \frac{7\pi}{4} (5.495), 2\pi (6.280)[/tex]
Degrees
[tex]0^{\circ}, 45^{\circ}, 90^{\circ}, 135^{\circ}, 180^{\circ}, 225^{\circ}, 270^{\circ}, 315^{\circ}, 360^{\circ}[/tex]
where can we put parentheses in 19 - 3 times 5 to make it equivalent to 80
Answer:
(19-3)*5 = 80
Step-by-step explanation:
(19-3)*5 = 80
Parentheses first
16*5 = 80
80
Answer: (19 - 3) * 5 = 80
Check to see if this is right.
(19 - 3) * 5 = 80
16 * 5 = 80
80 = 80
Best of Luck!
A pizzeria offers 10 different toppings. They have pepperoni, green peppers, onion, bacon, sausage, pineapple, ham, spinach, chicken and extra cheese. a. State if this problem is a permutation or combination. Briefly explain your reasoning.
Answer:
combination
Step-by-step explanation:
We have that permutations are groupings in which the order of the objects matters. Combinations are groupings where content matters but order does not.
In this case we have a list of ingredients for the pizza, therefore the order does not matter as long as the ingredients are indicated, which means that this is an example of a combination.
Too Tall Tower has office space below the 57th floor and condominiums above. Too Tall Tower is an example of a
Given m \| nm∥n, find the value of x. m n t (4x-18)° (3x-8)
Answer:
12x2
Step-by-step explanation:
A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model?
x2 – 6x + 9
x2 – 2x + 4
x2 + 5x + 10
x2 + 4x + 16
Answer:
A
Step-by-step explanation:
i got it right on the exam
For a given rectangle, the length= 3x +2 and the width = 5. What is the area of the rectangle?
Answer:
15x+10
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = LW
Fill in the given values and simplify.
A = (3x+2)(5)
A = 15x +10
The area of the rectangle is 15x+10.
Answer:
[tex]15x + 10[/tex]
Step-by-step explanation:
[tex]area = length \times width \\ = 3x + 2 \times 5 \\ = 5(3x + 2) \\ = 15x + 10[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
In a restaurant 40% of the customers choose Chinese food while 65% opt for Pakistani food .if the restaurant is visited by 260 people then how many opt for both in quarter ? Ans is 39 please give the working ?
Answer:
13 ppl choose both
Step-by-step explanation:
Hello,
In a restaurant 40% of the customers choose Chinese food
while 65% opt for Pakistani food.
if the restaurant is visited by 260 people then how many opt for both ?
There are 260 people we need to compute
40% of 260 = 40*260/100 = 104 to know the customers choosing Chinese food
65% of 260 = 65 * 260/100 = 169 to know the customers choosing Pakistani food
There are ppl choosing both Chinese and Pakistani, let s note x
we can say that 104 + 169 -x = 260
so x = 273-260=13
in conclusion, 104-13=91 ppl choose Chinese food only
169-13=159 ppl choose Pakistani food only
13 ppl choose both
in total there are 91 + 159 + 13 = 260
hope this helps
The number of people who opt for both Chinese and Pakistani food is 13.
We have,
Let's denote the number of people who choose Chinese food as "C" and the number of people who choose Pakistani food as "P".
We are given that 40% of the customers choose Chinese food, which means
C = 40% of 260.
C = 0.4 * 260
C = 104
Similarly, we are given that 65% of the customers opt for Pakistani food, which means
P = 65% of 260.
P = 0.65 * 260
P = 169
Now, we need to determine the number of people who opt for both Chinese and Pakistani food.
To find this, we can use the principle of inclusion-exclusion.
The total number of people who opt for both is given by:
Total = C + P - Both
We know that the total number of customers is 260, so:
260 = 104 + 169 - Both
Rearranging the equation to solve for Both:
Both = 104 + 169 - 260
Both = 273 - 260
Both = 13
Therefore,
The number of people who opt for both Chinese and Pakistani food is 13.
Learn more about percentages here:
https://brainly.com/question/11403063
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Paper and Pencil Construction: Construct a Line Perpendicular to a Given Line through a Point on the Line
Step-by-step explanation:
wait a person was about to report it sorry ;/
had to take it off
find the sum of the equations: 1/(x-2)+3/(x+3)=4/(x^2+x-6)
Answer:
x= 7/4
Step-by-step explanation:
Find the LCM for x-2,x+3,x^2+x-6 which is (x-2) (x+3)
then multiply
Eighty four percent of adults want to live to age 100. You randomly select five adults and ask them whether they want to live to age 100. The random variable represents the number of adults who want to live to age 100.
1) Construct a binomial distribution.
2) Graph the binomial distribution using a histogram and describe its shape. Graph the binomial distribution.
3) What is the shape of the histogram?
A. Symmetric
B. Skewed left
C. Skewed right
4) What values of the random variablex would you consider unusual?
The value(s)_____would be unusual because the associated probability (probabilities) is(are)______.
Answer:
1) Binomial distribution with n=5 and p=0.84.
2) Attached. Skewed.
3) C. Skewed right
4) The values 0 and 1 would be unusual because the associated probabilities are lower than 0.3%.
Step-by-step explanation:
1) A binomial distribution for this case can be constructed with the parameters n=5 and p=0.84.
The probability of k adults from the sample respond Yes is:
[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}=\dbinom{5}{k} 0.84^{k}\cdot 0.16^{5-k}[/tex]
[tex]P(x=0) = \dbinom{5}{0} p^{0}(1-p)^{5}=1*1*0.0001=0.0001\\\\\\P(x=1) = \dbinom{5}{1} p^{1}(1-p)^{4}=5*0.84*0.0007=0.0028\\\\\\P(x=2) = \dbinom{5}{2} p^{2}(1-p)^{3}=10*0.7056*0.0041=0.0289\\\\\\P(x=3) = \dbinom{5}{3} p^{3}(1-p)^{2}=10*0.5927*0.0256=0.1517\\\\\\P(x=4) = \dbinom{5}{4} p^{4}(1-p)^{1}=5*0.4979*0.16=0.3983\\\\\\P(x=5) = \dbinom{5}{5} p^{5}(1-p)^{0}=1*0.4182*1=0.4182\\\\\\[/tex]
2) The graph is attached.
The shape is skewed to the right. This is due to the value of p being close to 1.
The sample space is [0,1,2,3,4,5] and the biggest values have the highest probabilities.
3) The shape is skewed right.
4) The values 0 and 1 would be unusual because the associated probabilities are lower than 0.3%.
The value k=2 can also be considered unusual as it has an associated probability of 2.8%.
Please answer this question !! Thank you !! Will give brainliest !!
an acute angle can have all of the following measures except
Answer:
An acute angle is an angle that has a measure that is less than 90 degrees. Any measure that is less than 90 degrees could be an acute angle. For example, 8°, 15°, °26°, and 89° are all acute angles. Anything that is 90 degrees is a right angle and greater than 90 degrees is an obtuse angle. An acute angle can have all of the following measures except 90 degrees or greater than 90 degrees.
Answer:
0 is not an acute angle
Step-by-step explanation:
if the measurement of an angle is between 0 and 90 degrees then we called it an acute angle. it means acute angle is greater than 0 and less than 90 degrees. among the the other options it is between 0 and 90 therefore 0 is not it
hope this helps
HELPPPPP ASAP I NEED IT I BEG OF U I DONT UNDERSTAND THIS PLSSSSSSSS
Ross walks every morning. He can cover 6 miles in 2 hours.
His speed is___
miles per hour. He can cover_____
more miles in 4 hours than he can in 3 hours.
Answer:
speed = distance ÷ time
6÷2 = 3
his speed is 3 miles per hour
he can cover 3 more miles....
what is the quotient of 2/3 and 2/g ?
1. The function h is the sum of the functions f(x)=3x+5 and g(x)=2x^2 - 6x - 2. Which represents h? A.h(x) = 5x^2 - x - 2 B. h(x) = 2x^2 - 3x + 3 C. h(x) = 2x^2 - 9x + 7
D. h(x) = -3x + 3
Answer:
B. h(x) = 2x^2 - 3x + 3
Step-by-step explanation:
Given
f(x)=3x+5
g(x)=2x^2 - 6x - 2
h(x) is sum of the functions f(x) and g(x)
Thus,
h(x) = f(x) + g(x)
substituting value of f(x) and g(x) as given above we have
h(x) = 3x+5 + 2x^2 - 6x - 2
as ( 3x - 6x = -3x and 5- 2 = 3) , we have
h(x) = 2x^2 -3x + 3
Thus, correct answer is option B. h(x) = 2x^2 - 3x + 3.
IQ scores are measured with a test designed so that the mean is 116 and the standard deviation is 16. Consider the group of IQ scores that are unusual. What are the z scores that separate the unusual IQ scores from those that are usual? What are the IQ scores that separate the unusual IQ scores from those that are usual? (Consider a value to be unusual if its z score is less than minus2 or greater than 2.)
Answer:
So the z-scores that separate the unusual IQ scores from those that are usual are Z = -2 and Z = 2.
The IQ scores that separate the unusual IQ scores from those that are usual are 84 and 148.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 116, \sigma = 16[/tex]
What are the z scores that separate the unusual IQ scores from those that are usual?
If Z<-2 or Z > 2, the IQ score is unusual.
So the z-scores that separate the unusual IQ scores from those that are usual are Z = -2 and Z = 2.
What are the IQ scores that separate the unusual IQ scores from those that are usual?
Those IQ scores are X when Z = -2 and X when Z = 2. So
Z = -2
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2 = \frac{X - 116}{16}[/tex]
[tex]X - 116 = -2*16[/tex]
[tex]X = 84[/tex]
Z = 2
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2 = \frac{X - 116}{16}[/tex]
[tex]X - 116 = 2*16[/tex]
[tex]X = 148[/tex]
The IQ scores that separate the unusual IQ scores from those that are usual are 84 and 148.
Answer:
[tex]\mu -2*\sigma = 116-2*16= 84[/tex]
[tex]\mu +2*\sigma = 116+2*16= 148[/tex]
Step-by-step explanation:
We know that the distirbution for the IQ have the following parameters:
[tex]\mu=116, \sigma=16[/tex]
The z score is given by this formula
[tex] z = \frac{X -\mu}{\sigma}[/tex]
And replacing the limits we got:
[tex] X = \mu \pm z \sigma[/tex]
For this case we know that a value to be unusual if its z score is less than minus2 or greater than 2, so then we can find the limits with this formulas:
[tex]\mu -2*\sigma = 116-2*16= 84[/tex]
[tex]\mu +2*\sigma = 116+2*16= 148[/tex]
A student participates in a Coke versus Pepsi taste test. She correctly identifies which soda is which four times out of six tries. She claims that this proves that she can reliably tell the difference between the two soft drinks. You have studied statistics and you want to determine the probability of anyone getting at least four right out of six tries just by chance alone. Which of the following would provide an accurate estimate of that probability?
a. Have the student repeat this experiment many times and calculate the percentage time she correctly distinguishes between the brands.
b. Simulate this on the computer with a 50% chance of guessing the correct soft drink on each try, and calculate the percent of times there are four or more correct guesses out of six trials.
c. Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries.
Answer:
C.
Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries
Step-by-step explanation:
Why I choose the answer c is because for this kind of experiment to determine probability..it needs to be tested on variety of people as different people have different taste issue.
Trying it on one person alone will accumulate much error that will be very hard and uneasy to detect.
Rosalyn has three different-shaped containers that contain marbles. She has 3 round containers, each holding 16 marbles.
She has 4 square containers, each holding 25 marbles. She has 2 rectangular containers, each holding 33 marbles.
How many marbles are in the containers altogether?
Answer:
42,996
Step-by-step explanation:
3*16+4*25+2*33=48+100+66=214
A 2013 study by pediatrician investigates whether it in better to give children the diphtheria, tetanus and pertussis (DTaP) vaccine in the thigh or the arm. The pediatricians collected the data from two different random samples. The first random sample was collected from children who were given the vaccine in the thigh. The second random sample was collected from children who were given the vaccine in the arm. Pediatricians recorded whether the children had a severe reaction or not. Reference: Jackson. LA., Peterson. D., Nelson. J.C., et al. (13 00 authors). 2013. Vaccination site and risk of local reaction in children one through six years of age. Pediatrics 131:283-289 Pediatricians conducted a chi square test of independence. The chi square test statistic fix this data is 2.0609 with a P value of O 1511. What can the pediatrician conclude? A) There is a statistically significant association between vaccine location and severe reaction. B) Pediatrician, have strong evidence that the severe reaction, to vaccine depend on location of the vaccine. C) The pediatricians cannot make a conclusion The conditions, for use of the chi-square test are not met. D) There is not enough evidence to conclude that there is. an association between vaccine location and severe reaction.
Answer:
A
Step-by-step explanation:
Since chi-squared calculated value is greater than p-value, there is a relationship between vaccine location and severe reaction.
Answer:
Step-by-step explanation:
This survey is testing for an association between the vaccine location and severe reactions using the chi-square test of independence.
Null hypothesis: Vaccine location and severe reactions are independent
Alternative: Vaccine location and severe reactions are not independent
With a chi square test statistic of 2.0609 with a P value of 0.1511. Using the p- value in comparison to either α = 0.05 or 0.01, the pediatricians can fail to reject the null as the p-value is greater than 0.05 or 0.01 and can conclude that there is a statistically significant association between vaccine location and severe reaction.
This approach was appropriate because the sampling method was simple random sampling, the variables that were under study were categorical, and the expected frequency count was at least 5 in all values to be able to reach value of 283 and 289.
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Analysis reveals that a company had a net increase in cash of $21,760 for the
current year. Net cash provided by operating activities was $19,600; net cash
used in investing activities was $10,800 and net cash provided by financing
activities was $12,960. If the year-end cash balance is $26,400, the beginning
cash balance was:
Answer:
Beginning Cash balance was $4,640.
Step-by-step explanation:
Net cash flow from operating activities = $19,600
Net cash flow used in investing activities = ($10,800)
Net cash provided by financing activities = $12,960
Net increase in cash $21,760
Beginning cash balance = Closing balance ($26,400) less net increase in cash ($21,760) = $4,640
The increase in cash represents the cash that was generated from operating, investing, and financing activities. These three activities are the classifications of an entity's activities. Operating activities are those activities that are normal to the business, i.e. activities the business undertakes under its mission. The investing activities arise from the purchase and sale of investments. These are not normal activities of most entities, except investment companies. Financing activities are activities engaged by an entity to raise finance, including the repayment of the borrowed funds plus interest.
Nathaniel wants to build 50 birds using Lego blocks. How many birdhouses can he build at most with the remaining Lego blocks? Graph your solution.
Answer:
18
Step-by-step explanation:
Even if we both break down tonight
And you say you hate me
And we go to bed angry
I know everything will be alright
I'll be here waiting
I promise I'm changing
I just need
A little time to show you I'm worth it
I know that I can be a difficult person
I'm a stress case drive you up the wall when I'm workin'
Actually I'm prolly worse when I'm not you don't deserve it
Make you nervous 'cause you know I'ma break soon
Every time I do I say something that hurts you
Actin' like I'm gone, but we both in the same room
I don't like to be wrong which I know you relate to
And I know I make you feel like you're at the end of your road
That's when I look at you and tell you I'd be better alone
That's just the pride talkin' isn't it cause both of us know
The scale of the drawing shows that 1” = 10 feet. If the drawing
shows the height of the building as 6 inches, how tall is the
actual building?
Answer:
60 foot
Step-by-step explanation:
Just multiply by 10?
Johana works in the crime lab at the New York City Police Department. A woman’s shoe was found at a crime scene. Johana measures it and then uses the following function equation to predict the estimated height of the suspect: y =1.19x+56 where x represents a woman’s shoe size and y represents the estimated likely height of the woman in inches. a. Using a calculator, determine an ordered pair that is a solution to this function. b. Interpret your solution in the context of this problem, using one or more complete sentences. Use the information given in the problem when describing the values of your input and output. 58
Answer:
(7, 64.33)
Step-by-step explanation:
For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:
[tex]y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.[/tex]
(a)Let x=7
Then: y =1.19(7)+56=64.33
An ordered pair that is a solution to the function is (7, 64.33)
(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.
what dose x equal 4x + 4 = -7 +2x +19
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]4x + 4 = -7 +2x +19[/tex]
[tex]4x + 4 = 2x +12[/tex]
[tex]4x-2x=12-4[/tex]
[tex]2x=8[/tex]
[tex]x=8 \div 2[/tex]
[tex]x=4[/tex]
Step 1: Simplify both sides of the equation.
4x+4=−7+2x+19
4x+4=(2x)+(−7+19)(Combine Like Terms)
4x+4=2x+12
4x+4=2x+12
Step 2: Subtract 2x from both sides.
4x+4−2x=2x+12−2x
2x+4=12
Step 3: Subtract 4 from both sides.
2x+4−4=12−4
2x=8
Step 4: Divide both sides by 2.
2x/2 = 8/2
Description:
The first step is to Simplify both sides of the equation, when you do it correct and follow the steps above you equation will end up 4x+4=2x+12. For steps 2 Subtract 2x from both sides, when you do it correct your equation will end up like 2x+4=12. For step 3 you Subtract 4 from both sides, when you do it correct equation will end up like 2x=8. Last step is to Divide both sides by 2, when you do it correct your answer will come as x=4 .
Answer: x=4
Please mark brainliest
Hope this helps.
1. Joy bought jewelry at a crafts fair. She bought a necklace for $8 and
some bracelets for $5 each. She spent $23 in all. Write and solve equation
that can be used to find the number of bracelets she bought
Answer:
5y + 8 < 23 and y < 3
2c - 3 = 9
Step-by-step explanation:
She bought a jewelry at a craft fair . The necklace is $8 and the bracelet is $5 each. Her total expenses is $23.
She bought a single necklace. The number of bracelet she bought is unknown but each of the bracelet she bought is $5 each. The number of bracelet she bought can be represented below.
Let
y = number of bracelet bought
Therefore, the cost of the total number of bracelet will be 5y
Recall the total expenses is $23
5y + 8 < 23 and y < 3
if you insert the value of y in the following inequalities the resulting value should be less than 23 so the value of y should be less than 3.
2. 2c - 3 = 9