The probability that the proportion surviving for at least five years will exceed 80% is 0.00084.
It is given to us that -
65% of the total dialysis patients can survive for at least 5 years
A simple random sample consists of 100 new dialysis patients
We have to find out the probability that the proportion surviving for at least five years will exceed 80%.
From the given information, we have -
Probability, p = 65% = 0.65
=> Population mean, μ = 0.65
Number of patients in the sample, n = 100
The raw data, x = 80% = 0.80
Now, we know the standard deviation of a given sample can be calculated as -
σ = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
=> σ = [tex]\sqrt{\frac{0.65(1-0.65)}{100} }[/tex]
=> σ = [tex]\sqrt{\frac{0.2275}{100} }[/tex]
=> σ = 0.04770 ----- (1)
We also know that the z-score can be calculated by the formula -
z = (x-μ)/σ
Substituting all the values in the above formula for z-score, we have -
z = (x-μ)/σ
=> z = (0.80-0.65)/0.04770
=> z = 3.14
From the normal distribution table, we can find out the corresponding area for the value of z = 3.14 which is equal to 0.99916.
For a value of the raw data, x to be more than 80%, the area to the right of normal distribution table for z = 3.14 is required.
=> P(x>80%) = 1-0.99916
=> P(x>80%) = 0.00084
Therefore, the probability that the proportion surviving for at least five years will exceed 80% is 0.00084.
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What is the prime factorization of 168?
22 x 32 x 5
34 x 7
22 x 17
23 x 3 x 7
Answer:
2,3 and 7
Step-by-step explanation:
168 = 2x2x2x3x7
= 2²x3x7
A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink receipts totaled $360, and 4 times as many cold beverages were sold as hot beverages.
Which system of linear equations represents the beverage sales on Saturday?
4c = h
1.5c + 2h = 360
c = 4h
1.5c + 2h = 360
c + h = 360
1.5c = 4(2h)
c + h = 360
4(1.5c) = 2h
Answer:4c=h
Step-by-step explanation:
The first linear equation, 4c=h
Hi can you please help me like rnn
js 1 & 2 for now
Step-by-step explanation:
1.
it is always the same.
the usual equation of a line is
y = ax + b
"a" being the slope, "b" being the y-intercept (the y-value when x = 0).
we see that the y-value is +3 when x = 0. that is "b".
for the slope we pick 2 points (with integer coordinates, if possible).
I see e.g. (0, 3) and (3, 0)
x changes by +3 (from 0 to 3).
y changes by -3 (from 3 to 0).
the slope "a" is -3/+3 = -1
the equation is
y = -x + 3
2.
and again the same
we see that the y-value is -3 when x = 0. that is "b".
I see e.g. (0, -3) and (3, 0) as points.
x changes by +3 (from 0 to 3).
y changes by +3 (from -3 to 0).
the slope "a" is +3/+3 = 1.
the equation is
y = x - 3
A worker bee has a mass of 2 x 10^-4 kilograms. There are
8 x 10^4worker bees living in one hive. What is the mass
of all the worker bees in the hive together?
•Write your final answer in STANDARD form.
•Only type in the numerical answer.
To find the total mass of all the worker bees in the hive, you need to multiply the mass of a single worker bee by the number of worker bees in the hive.
The mass of a single worker bee is 2 x 10^-4 kilograms, and there are 8 x 10^4 worker bees in the hive.
So the total mass of all the worker bees in the hive is (2 x 10^-4 kilograms) * (8 x 10^4 worker bees) = 0.16 kilograms.
In standard form, this is written as 1.6 x 10^-1 kilograms.
Sofia ordered sushi for a company meeting. They change plans and increase how many people
will be at the meeting, so they need at least 100 pieces of sushi in total.
and paid for 24 pieces of sushi, so she needs to
Sofia had already ordered
order additional sushi.
The sushi comes in rolls, and each roll contains 12 pieces and costs $8.
Answer: Sofia needs to order an additional 100 - 24 = 76 pieces of sushi.
Since each roll contains 12 pieces, Sofia needs to order 76 / 12 = 6 additional rolls of sushi.
At a cost of $8 per roll, Sofia will need to pay an additional 6 * $8 = $48 for the additional sushi.
Step-by-step explanation:
Systolic blood pressure readings are normally distributed with a mean of 121 and a standard deviation of 15.
Find the z-score to the nearest tenth for the following blood pressure readings.
a. 142 -
b. 130 -
c. 103 -
The required values of the z-score as per the corresponding blood pressure readings are: z-score = 1.267 when reading is 142, z-score = 0.6 when reading is 130, and z-score = -1.2- when reading is 103.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
Normally distributed with a mean of 121 and a standard deviation of 15.
As per the given question, we have
mean ц = 121
standard deviation σ = 15
For X₁ = 140
z-score = (X₁ - ц )/σ
z-score = (140 - 121)/15
z-score = (19)/15 = 1.267
For X₂ = 130
z-score = (X₂ - ц )/σ
z-score = (130 - 121)/15
z-score = (9)/15 = 0.6
For X₃ = 103
z-score = (X₃ - ц )/σ
z-score = (103- 121)/15
z-score = (19)/15 = - 1.2
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A Venu revolve around the un, it travel at a peed of approximately 22 mile per econd. Convert thi peed to mile per minute. At thi peed, how many mile will Venu travel in 6 minute?
Answer:
22mile=1sec
x=360sec
criss cross method
(x)(1)=360×22
x=7920miles
Complete this working to write 9³ as a power of 3
9³=9x9
SO
SO
9³3 x 3 x 3 x
=
9³ = 3
where y =
Answer:
y= 6
Step-by-step explanation:
9³ = 3^y
3²^³ = 3^y
3⁶ = 3^y
therefore
y=6
In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Please try to solve with without sin, cos, or any square roots.
Also, please do ASAP
ill award Brainliest if solved correctly without sin, cos, or any square roots!
Answer:
To find the area of a triangle, we can use the formula:
Area = (base * height) / 2
To find the area of triangle ABC, we first need to find the base and the height.
Since angle B is 75 degrees, we can use the fact that the sum of the angles in a triangle is 180 degrees to find the measure of angle A: 180 - 75 - 90 = 15 degrees.
Then, we can use the fact that the measure of an angle in a triangle is proportional to the length of the side opposite that angle to find the length of side AC:
AC/AB = m∠A/m∠B
AC = (m∠A/m∠B) * AB
Substituting, we get:
AC = (15/75) * 12 = 3
Now that we know the base and the height of the triangle, we can use the formula to find the area:
Area = (3 * 12) / 2 = 18
Therefore, the area of triangle ABC is 18 square cm.
Please hellp this is do today I will give brainlyest
Answer:
Step-by-step explanation:
Answer is B.
Function 1: slope is 2
Function 2: (-5 + 4)/(2-1)= -1/1= -1
The graph of a proportional relationship is shown. Write an equation that relates Kai’s earnings y, in dollars, to x, the number of hours he works
Answer:y=7.5x
Step-by-step explanation:
In the 9th grade HMH Math book for teachers, it explains that you must divide 150 by 20 and put it in the equation.
What is the inverse function for -2f(x+5)-4
Answer:
Read carefully below
Step-by-step explanation:
In general, the inverse of a function f(x) is a function g(x) such that f(g(x)) = g(f(x)) = x for all values of x in the domain of f(x) and g(x). To find the inverse of a function, we need to switch the input and output variables and solve for the new output variable.
In this case, we are given the function -2f(x+5)-4. To find the inverse of this function, we need to switch the input and output variables and solve for the new output variable, which we will call y. We can do this by first moving all the terms to one side of the equation, and then solving for y:
-2f(x+5) - 4 = y
-2f(x+5) = y + 4
f(x+5) = (y + 4) / -2
This is the inverse function of -2f(x+5)-4. However, keep in mind that not all functions have inverses. In particular, a function must have the property that it is one-to-one (i.e. it maps unique inputs to unique outputs) in order to have an inverse. It is not clear from the given information whether the function -2f(x+5)-4 is one-to-one, so it is possible that it does not have an inverse.
Math Test!!
1. Austin bought 5 pizza's for the football team, each play is going to eat 2/3 of a pizza. what is the greatest number of players that he can feed?
A. 6
B. 7
C. 8
D. 9
2. Carolyn is practicing for her upcoming triathlon she is going to run 4 miles how many quarter miles is this?
A. 4
B. 12
C. 16
D. 20
3. for the last 3 hours, Shantell has been writing a research paper she writes a page every 2/3 hour how many pages has she written?
A. 4 1/2
B. 4 1/3
C. 4 1/4
D. 4/ 2/3
4. Wallace has a board 4 feet long he is cutting off pieces that are 3/4 of a foot long. How many pieces can he make?
A. 4
B. 5
C. 6
D. 7
5. Demetria has been downloading songs for 8 minutes if each song takes 2/5 of a minute to download, how many songs has she downloaded?
A. 14
B. 16
C. 18
D. 20
Please help me. I know it’s 4 months but I don’t know what the total amount paid is including interest. If anyone could add the steps that would be awesome!
Divide by 12 to go from the APR to the monthly interest rate
(9.5%)/12 = 0.7916667%
The decimal form is 0.007916667 approximately.
Multiply this with the starting balance $1367.90 and we get:
0.007916667*1367.90 = 10.8292 which rounds to 10.83
The interest payment for the 1st month is $10.83; which means the principal payment would be 400-10.83 = 389.17
This principal payment will then drop the balance from $1367.90 to 1367.90-389.17 = 978.73 dollars.
The value $978.73 is now the starting balance of the 2nd month. This process of...
(a) Compute the interest(b) Subtract the interest from the $400 monthly payment to get the principal (with the exception of the last month as shown below)(c) Subtract the principal from the starting balance to get the ending balance.is repeated until the balance is $0.
This is what the table would look like
[tex]\begin{array}{|c|c|c|c|c|c|} \cline{1-6}\text{Month} & \text{Starting} & \text{Interest} & \text{Principal} & \text{Payment} & \text{Ending }\\& \text{Balance} & & & & \text{Balance}\\\cline{1-6}1 & 1367.9 & 10.83 & 389.17 & 400 & 978.73\\\cline{1-6}2 & 978.73 & 7.75 & 392.25 & 400 & 586.48\\\cline{1-6}3 & 586.48 & 4.64 & 395.36 & 400 & 191.12\\\cline{1-6}4 & 191.12 & 1.51 & 191.12 & 192.63 & 0\\\cline{1-6}\end{array}[/tex]
Many credit card companies and banks offer free calculators on their website, or you can find similar free calculators online elsewhere, that will quickly calculate a table like shown above. It is called an amortization table or amortization schedule.
With the exception of the 4th month, each row has the principal and interest add to the $400 monthly payment. The last row will have a payment of 1.51+191.12 = 192.63 dollars.
The total amount paid back would be 400+400+400+192.63 = 1392.63 dollars. This is the sum of the values in the "payment" column.
-------------------------------------------------------------------------
Here's another way to determine the answer.
The monthly payment formula is
[tex]\displaystyle P = \frac{Li}{1 - (1+i)^{-n}}[/tex]
where,
P = monthly paymentL = loan amount, aka starting balancei = monthly interest rate in decimal formn = number of monthsIn this case,
P = 400L = 1367.90i = 0.007916667 approximately (calculated earlier)n = unknownLet's solve for the variable n. We'll need logarithms to isolate the exponent.
Part 1
[tex]\displaystyle P = \frac{Li}{1 - (1+i)^{-n}}\\\\\\\displaystyle 400 = \frac{1367.90*0.007916667}{1 - (1+0.007916667)^{-n}}\\\\\\\displaystyle 400 = \frac{10.8292087893}{1 - (1.007916667)^{-n}}\\\\\\\displaystyle 400(1 - (1.007916667)^{-n}) = 10.8292087893\\\\\\[/tex]
Part 2
[tex]\displaystyle 1 - (1.007916667)^{-n} = 10.8292087893/400\\\\\\\displaystyle 1 - (1.007916667)^{-n} = 0.0270730\\\\\\\displaystyle -(1.007916667)^{-n} = 0.0270730-1\\\\\\\displaystyle -(1.007916667)^{-n} = -0.9729270\\\\\\\displaystyle (1.007916667)^{-n} = 0.9729270\\\\\\[/tex]
Part 3
[tex]\displaystyle \log((1.007916667)^{-n}) = \log(0.9729270)\\\\\\\displaystyle -n*\log(1.007916667) = \log(0.9729270)\\\\\\\displaystyle n = -\log(0.9729270)/\log(1.007916667)\\\\\\\displaystyle n = 3.4805965\\\\\\[/tex]
Each decimal value is approximate.
That value of n then rounds up to the nearest integer n = 4
We do not round to n = 3 since that would be one month short, as shown in the table above.
You can use a graphing calculator to quickly solve that equation for the variable n. It can be used as a way to visually confirm the answer.
14. If AABC is similar to ADEF, what proportion would be used to solve for 2?
The proportionality used in the given diagram is 4/3=12/x if ΔABC and ΔDEF are similar. So, option 4 is correct.
What is meant by triangle?Triangles are polygons because they have three vertices and three edges. This is one of the basic shapes in geometry.
In Euclidean geometry, any three non-collinear points determine a distinct triangle and a distinct plane (i.e. a two-dimensional Euclidean space). To put it another way, every triangle has a plane that it is contained in, and there is only one plane that contains every triangle. If and only if all geometry is the Euclidean plane, all triangles are contained in a single plane; however, this is no longer true in higher-dimensional Euclidean spaces. The topic of this article, unless otherwise stated, is triangles in Euclidean geometry, specifically the Euclidean plane.
We have to assume that ΔABC and ΔDEF are similar.
If the triangles are similar,
Then the proportionality is:
AB/BC=DE/EF
4/3=12/x
Therefore, the proportionality used in the given diagram is 4/3=12/x.
So, option 4 is correct.
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Mr. Gonzale howed tudent part of the prime factorization of 90. One factor i miing. Write the number that complete thi prime factorization?
Given the prime factorization of 90. The number that complete thi prime factorization is 2 × 3² × 5.
Determine the prime factorization of 90Factor tree
90
/\
2 45
/\
3 15
/\
3 5
The prime factorization
90 = 2 × 3 × 3 × 5
= 2 × 3² × 5
So, the number that complete thi prime factorization is 2 × 3² × 5.
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the unicode character set is a subset of the ascii character set. group of answer choices true false
It s true that a text file contains bytes of data that represent characters from a particular character set such as Unicode or ASCII. The correct option to this question is "True".
The text file contains texts that are represented by Unicode or ASCII. The Unicode or ASCII represents how the numbers, text, or other commands are displayed and written in a text file.
To represent text digitally in the text file, characters have their own unique character representation bit-pattern. These bit-pattern have a combination of 1s and 0s. And these patterns are represented by character codes that are either Unicode or ASCII.
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If m<5 = (8x-14) and m<7 = (5x+34), what is the value of x and m<5?
Answer:
maybe 16
I hope I helped
Step-by-step explanation:
joining m < 5 = m < 7
8x – 14 = 5x + 34
8x – 5x = 34 + 14
3x = 48
divide both sides by 3
x = 48/3
x = 16
Your car holds at most 14.5 gallons of gas. on the way to the grocery store, you use 1.5 gallons of gas. write an inequality to show the amount of gas you have left in your tank.
Answer:
Step-by-step explanation:
If the car holds at most 14.5 gallons of gas and you use 1.5 gallons of gas on the way to the grocery store, the amount of gas you have left in your tank can be represented by the inequality:
[tex]14.5 - 1.5 < = x[/tex]
This inequality can be read as "14.5 minus 1.5 is less than or equal to the amount of gas you have left in your tank, x."
Solving for x, we get:
[tex]x > = 13[/tex]
So the amount of gas you have left in your tank is greater than or equal to 13 gallons.
what is the slop of this question
Answer:
slope = 6
Step-by-step explanation:
(0,6)
(1,12)
12-6
-------- = 6
1-0
at what point is the tangent to f(x)=x^2+4x-1 horizontal
The point where the tangent to the given equation is horizontal is [tex](x, y) = (-2, -5)[/tex].
To find the tangent of a curve, we have to find the first derivative of the function. Hence, the tangent of the given curve is given by
⇒ [tex]f'(x) = \frac{d{f(x)}}{dx} = \frac{d{x^{2}}}{dx} + \frac{d(4x)}{dx} - \frac{d(1)}{dx}[/tex]
⇒ [tex]f'(x) = 2x + 4[/tex]
Now, as the tangent is horizontal, that means the slope of the tangent is 0, hence setting [tex]f'(x) = 0[/tex] , we get the equation
⇒ [tex]f'(x) = 2x + 4 = 0[/tex]
Solving the equation obtained for the variable x,
⇒ [tex]2x = -4\\[/tex]
⇒ [tex]x = -2[/tex]
Now, putting the obtained value for x in the original equation, we get
⇒ [tex]f(x) = (-2)^{2} + 4(-2) - 1\\[/tex]
⇒ [tex]f(x) = -5[/tex]
Hence, the point where the tangent to the given equation is horizontal is [tex](x, y) = (-2, -5)[/tex].
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how many of your 500 clients would you expect to have major depressive disorder (mdd)? if you used the phq-2 to screen for mdd, what number of those who are depressed would screen positive? among those who screened positive, what number would you expect to be confirmed for mdd at the follow-up visit?
As per the unitary method, the number would you expect to be confirmed for MDD at the follow-up visit is approximately 166.
The term unitary method in statistics refers a basic concept to find the value of a single unit and then using that value to find the value of multiple units.
Here we have to find how many of your 500 clients would you expect to have major depressive disorder and if you used the phq-2 to screen for MDD, what number of those who are depressed would screen positive.
In order to find the number of patients with MDD, we must know the process of PHQ - 2.
The process of PHQ - 2 involves the following steps:
Here the score ranges from 0-6.
And if the score is 3 or greater, then major depressive disorder is likely.
Based on these we have to test the 500 with PHQ test, let us consider that there is 2 person in every two person has MDD.
So, the number of MDD patient is approximately 166.
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At a hockey game, a vender sold a combined total of 250 sodas and hot dogs. The number of sodas sold was 42 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
sodas sold:
hotdogs sold:
Answer:
let x as hotdog and x + 42 as soda
x + x + 42 = 250
2x + 42 = 250
2x + 42 - 42 = 250 - 42
2x = 208
x = 104
sodas sold: x + 42 = 104 + 42 = 146 sodas
hotdogs sold: x = 104 hotdogs
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Answer:
104 hot dogs sold
146 sodas sold
Step-by-step explanation:
s=number of sodas. h=number of hotdogs
s+h=250
s=h+42 ==> there were 42 more sells for soda than compared to hot dog
h+42+h=250 ==> plugin h+42 for s
h+h+42=250 ==> simplify
2h+42=250 ==> solve for h
2h+42-42=250-42 ==> isolate h by subtracting 42 on both sides
2h = 208
h = 208/2
h = 104 hot dogs sold
s=104+42 ==> plug in 104 for h in s=h+42
s = 146 sodas sold
Q1)Here is a rectangle It is 8cm and (2b-5)cm
A)Find an expression for the perimeter of the rectangle, in terms of b.
Give your answer in its simplest form.
B) Find the value of b when the perimeter is 42 cm.
In terms of b, the perimeter expression is 6 + 4b and the value of b is 9
How to find an expression for the perimeter of the rectangle,From the question, we have the following parameters that can be used in our computation:
Dimensions = 8cm and 2b - 5 cm
The above parameters mean that
Length = 8
Width = 2b - 5
The perimeter is calculated as
Perimeter = 2 * (Length + Width)
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 * (8 + 2b - 5)
Evaluate the like terms
Perimeter = 2 * (3 + 2b)
Open the brackets
Perimeter = 6 + 4b
B) Find the value of b when the perimeter is 42 cm.Here, we have
Perimeter = 42
This means that
6 + 4b = 42
So, we have
4b = 36
Divide by 4
b = 9
Hence, the value is 9
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The hypothetical city of hurstville is trying to decide how many city beautification projects should be approved each year. These projects involve planting gardens, commissioning murals, and building fountains. The city has two types of citizens. Type b citizens appreciate beauty more than type a citizens. There is an equal number of each type of citizen. The accompanying schedule depicts each type of citizen's marginal benefit for city beautification projects. The average cost of each project is $400. Use the information in the schedule to answer the questions. Marginal benefit scheduleqmbambb04006001300500220040031003004020050100600what is the optimal quantity of city beautification projects?3124city beautification is a public good because:it is nonrival in consumption and nonexcludable. It is rival in consumption and excludable. It is rival in consumption and nonexcludable. It is nonrival in consumption and excludable
Using the provided information we get,
a) Optimal quantity of city beautification projects is three.
b) 3124 city beautification is a public good because it is rival in consumption and non-excludable. So, Correct option is option (C).
The fictional city of Hurstville is trying to determine how many urban beautification projects it has. The city has two types of citizens, ones who appreciates beauty more than other type.
The average cost of each project = $400
We have given that
The combined marginal benefit curves are determined by horizontally adding up the in the individual marginal benefit curves. So, the optimal quantity of benefication projects is at the point where MSB is equal to MSE. Thus, the optimal outputs is 3 projects.
The city beneficiation is a public good because it is non-trivial in consumption and non-excludable.
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You're at a clothing store that dyes your clothes while you wait. You get to pick from 4 44 pieces of clothing (shirt, pants, socks, or hat) and 3 33 colors (purple, blue, or orange). If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with an orange hat?.
The probability of ending up with an orange hat is 1/12. It is because here are twelve possible outcomes.
What is Probability?Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
It is represented mathematically as;
Probability = Number of Expected outcomes / Total number of outcomes
From the question, we can have the following outcomes;
Clothing = 4
Colors = 3
Pr (pick a clothing) = 1/4
Pr (pick a color) = 1/3
Pr (picking an orange hat) = 1/4 x 1/3
Pr (picking an orange hat) = 1/12.
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Last year you were 63 inches tall. This year you are 68 inches
tall. What is the percent change from last year to this year?
(Remember to write increase or decrease)
The percent increase from last year to this year is 7.94%
How to determine the percent change from last year to this year?From the question, we have the following parameters that can be used in our computation:
Initial height = 63 inches
New height = 68 inches
The percent change from last year to this year is then calculated as
Percent change = (New height - Initial height)/Initial height * 100%
Substitute the known values in the above equation, so, we have the following representation
Percent change = (68 - 63)/63 * 100%
Evaluate
Percent change = 7.94%
Hence, the percentage increase is 7.94%
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Alda is measuring the growth of a plant. Its initial height was 14 centimeters (cm), and the plant has consistently grown 32 cm each day.
Which linear equation represents the plant height, (y), after a given number of days, (x)?
Responses
y=32x+14y is equal to 3 halves x plus 14
x=32y+14x is equal to 3 halves y plus 14
y=14x+32y is equal to 14 x plus 3 halves
y=32x−14
The linear equation that represents the plant height is the one in the first option:
y = 14 + (3/2)x
Which linear equation represents the height?We know that the initial height of the plant (this will be the y-intercept of the line) is 14cm, and we also know that the plant grows at a rate of 3/2 cm each day.
So, after x days, the plant is x times 3/2cm plus 14 cm of height, so the linear equation is:
y = 14 + (3/2)x
So the correct option is the first one.
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Here are the scores for two softball teams for seven innings. Each team's total score is the sum of the numbers in its row. Rosie's Riveters beat The Susan Bees by how many runs?
A baseball scoreboard with the points marked for Rosie's riveters versus The Susan bees.
The team of Rosie's Riveters beat the Susan Bees by 3 runs.
What is Addition?Addition is one of the four basic operations of arithmetic's. The other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.Given are the scores for two softball teams for seven innings.
The total score of Rosie's Riveters will be -
T{R} = 1 + 3 + 4 + 2 + 1 + 0 + 2 = 13
The total score of Susan Bees will be -
T{S} = 0 + 0 + 5 + 3 + 0 + 1 + 1 = 10
Now -
T{R} - T{S} = 13 - 10 = 3
T{R} - T{S} = 3
Therefore, the team of Rosie's Riveters beat the Susan Bees by 3 runs.
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Nakida read that the number of time a cricket chirp depend on the temperature of the air. The cientit found that the number of chirp per minute i equal to 0. 23 time the temperature of the air, in degree Fahrenheit, plu forty. X y a. Write an equation that repreent the number of time a cricket chirp given the temperature in degree Fahrenheit
The equation that represents the number of time a cricket chirp (y) given the temperature (x) in degree Fahrenheit is y = 0.23 x + 40
Steps to translate a word problem into an equation or a function:
- Assign the unknowns to variables
- Identify which one is independent variables, which one is dependent variables. The independent variable will become the input while the dependent variable will become the output.
In the given problem, there are two variables:
- temperature in the air (in Fahrenheit)
- number of time a cricket chirp
From the problem, we can conclude that the number of time a cricket chirp depends on the temperature of the air. Hence,
independent variable = temperature in the air (in Fahrenheit)
dependent variable = number of time a cricket chirp
Let:
y = number of time a cricket chirp
x = temperature in the air (in Fahrenheit)
It is said: The number of chirp per minute is equal to 0. 23 times the temperature of the air, in degree Fahrenheit, plus forty.
We can translate it into an equation:
y = 0.23 x + 40
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