The outside temperature decreases by 7F in 3 1 2hours. Part A How would you represent the temperature change as a unit rate? Express your answer as an integer. Part B If the temperature continues to decrease at this rate, what will be the change in temperature after 5 hours?, i got park a just need part b part a is 7°/3.5 hrs = 2°/hr
Answers
Answer:
A) 2f / hour
B) 10 f
Step-by-step explanation:
outside temperature decreases by ; 7 F in 3 1/2 hours
a ) represent temperature change as a unit rate
To do this you will need to represent the temperature change per hour
7 f / 3.5 hours
= 7 f / 3.5 = 2 therefore the temperature change as a unit rate = 2f / hour
b) Temperature change after 5 hours
Δ temperature in 5 hours = temperature change per hour * 5
= 2 F * 5 = 10 F
Related Questions
A heavy rope, 70 ft long and weighing 49 lbs, hangs over the edge of a building 100 ft high. How much work W is done in pulling the rope up 20 ft
Answers
The work done in pulling the rope up 20 ft is 101.43 ft-lbs.
To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:
Potential Energy = weight * height
where weight is the weight of the rope and height is the distance the rope is hanging from.
Given:
Length of the rope (L) = 70 ft
Weight of the rope (Wt) = 49 lbs
Height of the building (H) = 100 ft
Height to which the rope is lifted (h) = 20 ft
Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:
d^2 = H^2 + L^2
d^2 = 100^2 + 70^2
d^2 = 10000 + 4900
d^2 = 14900
d = \(\sqrt{14900}\)
d = 122.07 ft
Now we can find the initial potential energy of the rope:
Potential Energy = Wt * d
Potential Energy = 49 * 122.02
Potential Energy = 5981.43 ft-lbs
Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:
Final Potential Energy = Wt * (H + h)
Final Potential Energy = 49 * 120
Final Potential Energy = 5880 ft-lbs
Finally, we can find the work done in lifting the rope up 20 ft:
Work Done = Initial Potential Energy - Final Potential Energy
Work Done = 5981.43 - 5880
Work Done = 101.43 ft-lbs
Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.
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Any has 10 pieces of fruit. 7 are apples and the rest are oranges.
She chooses a piece of fruit at random eats it then chooses a second piece of fruit at random
Please draw this
Answers
The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.
What fraction should go into the boxes?Total number of fruits Amy has = 10
Number of Apples = 7
Number of Oranges = 3
First random pieces of fruits chosen:
Probability of choosing Apples = 6/9
Probability of choosing Oranges = 3/9
Second random pieces of fruits chosen:
Probability of choosing Apples = 6/8
= 3/4
Probability of choosing Oranges = 2/8
= 1/4
Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.
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Is the set of integers closed under division? Explain why or why not.
Answers
The set of integers is not closed under the operation of division because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities
How to determine the true statement?Integers are numbers without decimal points
When integers are divided, the possible results are:
ZeroDecimalIntegersThe decimal and the zero possibilities imply that the set of integers is not closed under the operation of division
This is so because when an integer is divided by another, the results are not limited to only integers i.e. zero and decimals are possibilities
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after collecting the data, douglas finds that the finishing times for cyclists in a race is normally distributed with mean (μ) 149 minutes and standard deviation (σ) 16 minutes. what is the probability that a randomly selected race participant had a finishing time of less than 165 minutes? use the empirical rule provide the final answer as a percent.
Answers
Probability which is randomly selected race participants with finishing time less than 165 minutes is equal to 0.84.
As given in the question,
Mean 'μ' = 149 minutes
Standard deviation 'σ' = 16 minutes
Probability of randomly selected race for finishing time less than 165 minutes
⇒ P( X < 165 ) = P [(X - μ)/σ < (165 -149)/16]
= P [(X - μ)/σ < 1]
= P ( z < 1 )
Probability is associated with 1,2,3 standard deviation of 68%, 95% and 99.7%
Empirical rule = 68 - 95 - 99.7
P ( z < 1 ) = 0.5 + 0.68/2
= 0.5 + 0.34
= 0.84
Therefore, the probability for randomly selected participants whose finishing time is less than 165 minutes is 0.84.
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Answer:
Step-by-step explanation:
84% is the answer for Knewton Alta Stats
One of two jars contains 4 red balls and 2 green balls and the second jar contains 4 green and two red balls. By design, the probabilities of selecting jar 1 or jar 2 at random are 1/3 for jar 1 and 2/3 for jar 2.
A jar is selected at random and a ball is selected at random from it.
Given that the ball selected is red, what is the probability it was selected from the first jar?
Answers
To find the probability that the ball was selected from the first jar given that it is red, we can use Bayes' theorem.
Let's define the following events:
A: Selecting the first jar
B: Selecting a red ball
We want to find P(A|B), the probability of selecting the first jar given that a red ball was selected.
According to Bayes' theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
P(B|A) represents the probability of selecting a red ball given that the first jar was chosen. Since the first jar contains 4 red balls out of a total of 6 balls, P(B|A) = 4/6 = 2/3.
P(A) represents the probability of selecting the first jar, which is given as 1/3.
P(B) represents the probability of selecting a red ball. To calculate this, we need to consider the probabilities of selecting a red ball from both jars:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
= (2/3) * (1/3) + (1/3) * (2/3)
= 2/9 + 2/9
= 4/9
Now we can calculate P(A|B) using Bayes' theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
= (2/3 * 1/3) / (4/9)
= 2/9 * 9/4
= 2/4
= 1/2
Therefore, the probability that the ball was selected from the first jar given that it is red is 1/2 or 0.5.
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My school's enrollment is $506$ after a $10\%$ increase. What was the school's enrollment before the increase? 25 POINTS!!!!!!!!!!!!!!!!!!!!!!! :) Can u please show ur work? If u don't mind!
Answers
The school's enrollment before the increase IS $460.
What are percentages?
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
What is the school enrolment before the increase?In order to determine the required value, divide the cost of the school enrolment after the increase by 110%(100 + 10).
$506 / 1.10 = $460
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Briefly describe each of the eight guidelines for evaluating statistical studies.
Answers
8 Guidelines for Critically Evaluating a Statistical Study
1. Identify the Goal, Population, and Type of Study
2. Consider the Source
3. Examine the Sampling Method
4. Look for Problems in Defining or Measuring the Variables of
Interest
5. Watch Out for Confounding Variables
6. Consider the Setting and Wording of Any Survey
7. Check That Results Are Fairly Represented in Graphics or
Concluding Statements
8. Stand Back and Consider the Conclusions
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Please help me ill give out brainest
which expression is equivalent to 1/5x(5y+60)
a. 1/5(2xy+3xy+40x)
b. xy+60x
c. y+12x
d. 25xy+300y
e. 13xy
f. x(y+12)
Answers
Answer:
The correct answer is ** x(y+12) or f.
We can simplify the expression 1/5x(5y+60) by multiplying the factors in the parentheses and then dividing by 5. This gives us:
```
1/5x(5y+60) = 1/5 * 5xy + 1/5 * 60x = x(y+12)
```
which property allows a design to maintain all its characteristics when it is rotated around a pint in its plane
Answers
Answer:
The quality
Step-by-step explanation:
A design has if it maintains all characteristics when it is rotated about a point. A point around which a shape can be rotated without changing any of its characteristics.
pls like
Which expreion have a quotient of 6? Select all that apply. 0. 48 ÷ 0. 8
4. 8 ÷ 8
0. 48 ÷ 0. 08
4. 8 ÷ 0. 8
4. 8/0. 8
Answers
Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.
What is quotient?
In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
0. 48 ÷ 0. 8
=0.06
The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6
The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.
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Claire was out at a restaurant for dinner when the bill came. Her dinner came to $26. After adding in a tip, before tax, she paid $29.12. Find the percent tip.
Answers
Answer:
0.0312
Step-by-step explanation:
You subtract 29.12 by 26 which equals 3.12
Then you divide by 100 which equals 0.0312
Answer:
12
Step-by-step explanation:
find the value of g(ƒ(1))
f(x) = −2x +4
g(x) = 3x² - 7x +9
Answers
Answer:
f=4
Step-by-step explanation:
I think it's right but not 100% sure
a list of 20182018 positive integers has a unique mode, which occurs exactly 1010 times. what is the least number of distinct values that can occur in the list?
Answers
The least number of distinct values that can occur in the list is 225.
what is mode?The value that appears the most frequently in a data collection when it is unique is known as the mode, and like the median and mean, it can be used to measure central tendency. However, occasionally there is either no mode or more than one mode. When every observed value occurs exactly once in a data collection, there is no mode.
The mode appears 10 times. That leaves 2008 numbers.
The least number of distinct values will occur if all but one of the remaining values appears 9 times
= 2008/9
=223 1/9.
So, The list can include a maximum of 225 distinct values, with the mode appearing 10 times, 223 other values nine times, and the last value once.
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Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.
Answers
The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .
The charge at which anything happens is referred to as the velocity at which it happens.
The required details for mean rate :
(a) H0: µ = 21.62
Ha: µ ≠ 21.62
(b) t = -1.231
p-value = 0.2253
(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.
(d) H0: µ = 21.62
Ha: µ ≠ 21.62
t = -1.231
check statistic ≥ 2.020
Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.
The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.
The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.
The crucial values for t at this level of significance are t=2.019.
Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.
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The diagonal of a tv screen is 26 inches. the base is 18.8 inches wide. how tall is the tv?
Answers
the height of the triangle formed by the diagonal and base of the TV screen.
The height of the TV is approximately 15.6 inches.
(26 inches / √2) = 18.8 inches
(18.8 inches * √2) = 26 inches
Height = (26 inches / 18.8 inches) * 18.8 inches
Height = 15.6 inches
Step 1: Calculate the hypotenuse of the triangle formed by the diagonal and base of the TV screen.
Hypotenuse = diagonal / √2
Hypotenuse = 26 inches / √2
Hypotenuse = 18.8 inches
Step 2: Calculate the diagonal of the triangle formed by the hypotenuse and base of the TV screen.
Diagonal = hypotenuse * √2
Diagonal = 18.8 inches * √2
Diagonal = 26 inches
Step 3: Calculate the height of the triangle formed by the diagonal and base of the TV screen.
Height = diagonal / base
Height = 26 inches / 18.8 inches
Height = 15.6 inches
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A right rectangular prism has edges of 8 feet, 4 feet, and
1/ foot.
How many cubes with side lengths of
1/2
foot would be needed to fill the prism?
Answers
Answer:
\(to \: know \: the \: answer\)
\(refer \: to \: the \: above \: attatchment\)
Hope this helps you !!
Alek is taking an inventory of styles of compression bandages for work. Here is the data he has collected.
The individuals in this data set are:Choose 1 answer:
A) Blood Centers
B) Compression bandage styles
C) Nurses
This data set contains:Choose 1 Answer:
A) 3 variables, 1 of which is categorical
B) 3 variables, 3 of which are categorical
C) 6 variables, 1 of which categorical
D) 6 variables, 3 of which are categorical
Answers
The individuals in this data set are B) Compression bandage styles
The style tags in the first column is what Alex is surveying.
====================================================
This data set contains A) 3 variables, 1 of which is categorical
The three variables are
WidthTotal lengthColorThe first two are quantitative data. We can do math on them such as finding the average. The last variable is categorical. We cannot apply the average as the average color doesn't really make sense. We simply have a list of labels, so this data is nominal. It is not ordinal because we cannot sort the colors.
Answer:
compression bandages styles
3 variables, 1 of which is categorical
Item 29
Divide.
6.8÷4
6.8÷4
Answers
Answer:
1.7
Step-by-step explanation:
You can just use a calculator to make the work easier.
PLEASE HELP QUICK
A system of equations is graphed on a coordinate plane.
Which coordinates are the best estimate of the solution to the system of equations?
A. (−1, 0)
B. (−1, −1)
C. (1, 0)
D. (1, −1)
Answers
Answer: The solution of this system of equations is the point of cut of these line.
Point of cut is when x is close to -1, and y is close to 0; therefore the best estimate of the solution would be:
A) (-1,0)
We can check it out our answer solving the system of equations:
-3x+y=2
-4x+7y=1
We solve this system by substitution method.
-3x+y=2 ⇒ y=2+3x
-4x+7(2+3x)=1
-4x+14+21x=1
-4x+21x=1-14
17x=-13
x=-13/17=-0.764....≈-1
y=2+3x
y=2+3(-0.764)
y=2-2.292
y=-0.292≈0
The approximate solution will be (-1,0)
Brandon has 32 pieces of paper. Sophia has 2 times as many pieces of paper as Brandon.
How many pieces of paper does Sophia have? Enter the answer in the box.
pieces of paper
Answers
Answer:
Sophia has 64 pieces of paper.
Step-by-step explanation:
Brandon = 32 pieces of paper.
2(Sophia) x 32 = 64 pieces of paper.
Chelsea jogged 1.3 miles every weekday and 0.7 miles on Saturday. How many miles did Chelsea jog in 2 weeks
Answers
Answer:
14.4 miles
Step-by-step explanation: u do 1.38x5 to get 6.5 then u add 0.7 to 6.5 to get 7.2 then you times 7.2 by 2 to get 14.4
(ASAP) helpp i need to get this done 3m
Answers
3(a-4) + 1= 9 - a
3(a-4) = 8 - a
3a-12 = 8 - a
4a = 20
a=5
I hope this helps! :)
Answer:
a=5
Step-by-step explanation:
3(a-4)+1=9-a
3a-12+1=9-a
3a-11=9-a
3a+a=9+11
4a=20
a=20÷4
=5
What is the equation of the line that passes through the point (-6,-6) and has a slope of 5/3?
Answers
Answer: y=(5/3)x+4
Step-by-step explanation:
m=5/3 (-6,-6)
A line in point-slope form is expressed as:
\(y-y_1=m(x-x_1)\ \ \ \ \ (1)\\\\m=5/3\ \ \ \ x_1=-6 \ \ \ \ y_1=-6\\\\\)
Substitute these values into equation (1):
\(\displaystyle\\y-(-6)=\frac{5}{3}(x-(-6)) \\\\y+6=\frac{5}{3}(x+6) \\\\y+6=\frac{5}{3}(x)+\frac{5}{3} (6)\\\\y+6=\frac{5}{3}x+\frac{5(2)(3)}{3} \\\\y+6=\frac{5}{3} x+5(2)\\\\y+6=\frac{5}{3} x+10\\\\y+6-6=\frac{5}{3} x+10-6\\\\y=\frac{5}{3}x+4\)
A representative sample of oak trees in a forest shows the trees to have a mean
circumference of 19.7 inches and a standard deviation of 1.3 inches. Assuming the
circumferences are normally distributed, estimate the proportion of oak trees in this forest that have a circumference greater than 21 inches.
Explain or show your reasoning.
Answers
Answer:
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
Step-by-step explanation:
Given that
Mean = μ = 19.7 inches
SD = σ = 1.3 inches
We have to find the probability of circumference greater than 21 inches
Let x = 21 inches
First of all we have to find the z-score of the value
z-score is given by the formula
\(z = \frac{x-mean}{SD}\)
Putting the values
\(z = \frac{21-19.7}{1.3}\\z = \frac{1.3}{1.3}\\z = 1\)
We will use the z-score table to find the probability of x<21
P(z<1) = 0.8413
The value gives us the area under the curve up till that value
To find the greater than probability, we have to subtract less than probability from 1.
P(z>1) = 1 - P(z<1) = 1 - 0.8413 = 0.1587 => 15.87%
Hence,
15.87% portion of oak trees in this forest have a circumference greater than 21 inches
xyz=A (solve for z).
Answers
Answer:
z=0
Step-by-step explanation:
Hope this helps and have a great day!
Which set of ordered pairs represents y as a function of x?
Please answer my question
A. {(2,2), (3,3), (2,4), (5,5)}
B. {(−1,−2), (−2,−1), (−2,7), (−4,8)}
C. {(−1,6), (4,3), (1,1), (−3,4)}
D. {(0,1), (2,1), (3,1), (0,2)}
Answers
Answer:
C.
Step-by-step explanation:
The set of ordered pairs can only be a function if the x value is not repeated .Thus,only C is a function as the x values (-1,4,1,-3) are unique while the other options have a repetition of its certain x values.
I hope ive helped
Which could describe the three angles of a triangle?
Answers
Three plus the number a is greater than or equal to 19
Answers
Answer:
a\(\geq\)16
Step-by-step explanation:
3+a\(\geq\)19
-3 -3
a\(\geq\)16
(see below) (The line I drew represents where a is and if it is to be greater or equal to it must be 16 or over)
for what values of a and b is the following function continuous at every x?
Answers
Answer:By solving a system of equations, we will see that the function is continuous for all values of x
Step-by-step explanation: