The percent error in predicted temperature by weather forecast is -0.48%.
To find the percent error in the predicted temperature, we need to use the formula:
[tex]percent\,error=\frac{observed \,value-expected \,value}{expected \,value *100}[/tex]
Plugging in the given values, we get:
[tex]percent error=\frac{103.5-104}{104*100}\\\\\\=\frac{-0.5}{104*100} \\\\=-0.48[/tex]
So, the percent error in the predicted temperature is about -0.48%. This means that the predicted temperature was about 0.48% lower than the actual temperature.
Rounded to two decimal places, the percent error is -0.48%.
What is percent error?Percent error is a measure of how accurate a measurement or prediction is compared to the true or accepted value. It is calculated by taking the difference between the observed or measured value and the expected or true value, and dividing it by the expected value, and then multiplying by 100 to express the result as a percentage.
For example, if the true value of a quantity is 10 and it is measured to be 9.5, the percent error would be:
percent error = (9.5 - 10) / 10 * 100 = -0.5 / 10 * 100 = -5%
This would mean that the measured value is 5% lower than the true value.
Percent error can be positive or negative, depending on whether the measured value is higher or lower than the true value. A positive percent error means the measured value is higher than the true value, while a negative percent error means the measured value is lower than the true value. A percent error of zero means that the measured value is exactly the same as the true value.
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The percent error in predicted temperature by weather forecast is -0.48%.
To find the percent error in the predicted temperature, we need to use the formula:
percent error=observed value-expected value/expected value*100
Now, we get
percent error=103.5-104/104*100
=-0.48
So, the percent error in the predicted temperature is about -0.48%. This means that the predicted temperature was about 0.48% lower than the actual temperature.
Rounded to two decimal places, the percent error is -0.48%.
What is percent error?
Percent error is a measure of how accurate a measurement or prediction is compared to the true or accepted value. It is calculated by taking the difference between the observed or measured value and the expected or true value, and dividing it by the expected value, and then multiplying by 100 to express the result as a percentage.
For example, if the true value of a quantity is 10 and it is measured to be 9.5, the percent error would be:
percent error = (9.5 - 10) / 10 * 100 = -0.5 / 10 * 100 = -5%
This would mean that the measured value is 5% lower than the true value.
Percent error can be positive or negative, depending on whether the measured value is higher or lower than the true value. A positive percent error means the measured value is higher than the true value, while a negative percent error means the measured value is lower than the true value. A percent error of zero means that the measured value is exactly the same as the true value.
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Cora plans to buy some calligraphy pens priced at $5 each. Write an equation that shows how the total cost, y, depends on the number of calligraphy pens Cora buys, x. Do not include dollar signs in the equation.
Answer: y = 5x
Step-by-step explanation:
the manager of a paint supply store wants to determine if the mean amount of paint contained in 1- gallon cans purchased from a nationally known manufacturer is actually more than 1-gallon. it is known that for this manufacturer the population standard deviation of the amount of paint is equal to 0.01 gallons. a random sample of 55.0 cans is selected, and the mean amount of paint per 1-gallon can is 0.987 gallons. use a significance level of 0.05. is (are) the critical region(s) for this test in the left tail, right tail, or both tail(s)?
In this case, the critical region will be in the right tail.
To answer this question, you need to conduct a hypothesis test to determine whether the mean amount of paint in 1-gallon cans from this manufacturer is significantly different from 1 gallon. The null hypothesis for this test is that the mean amount of paint in 1-gallon cans from this manufacturer is equal to 1 gallon, and the alternative hypothesis is that it is greater than 1 gallon.
To determine the critical region(s) for this test, you need to decide on the significance level, which is given as 0.05. This means that you will reject the null hypothesis if the test statistic falls in the critical region with a probability of less than 0.05.
In this case, since the alternative hypothesis is that the mean amount of paint in 1-gallon cans is greater than 1 gallon, the critical region will be in the right tail. This means that you will reject the null hypothesis if the test statistic falls in the right tail with a probability of less than 0.05.
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Need help with this equation and graphing table asap!! Look at the image
first 2;
a) 7(2) + 8 = 22 > 16, 7(4) + 8 = 36>32
36 - 22 = 14/2 = 7
32 - 16 = 16/2 = 8
7<8
the table has a greater rate of change
y intercept
equation; 8
table; 0
8> 0
the equation has a greater y intercept
Pleaseeee help I’m so confused
Answer:
D
Step-by-step explanation:
if you move the preimage on the image you can see that the two figures are equals
help i need perimeter of these
Answer: A= 52cm B= 94mm C= 9m D= 17cm
Step-by-step explanation:
A) You first need to find the missing sides by doing
11-9= 2
and 15-9= 6
you then add it all together
6+2+9+9+15+11=52cm
B) You first need to find the missing sides by doing
25-18=7
and 22-6= 16
you then add it all together
25+22+18+16+7+6=94mm
C) You first need to find the missing sides by doing
0.5+1=1.5 then 2.5-1.5=1
and 1.2+0.8=2 then 2-0.5=1.5
you then add the numbers all together
1+1.5+0.8+1+0.5+0.5+1.2+2.5=9m
D) You first need to find the missing sides by doing
2.5+1= 3.5 then 3.5-2=1.5
and 1.5+2.5=4 then 5-4=1
you then add all the numbers together
2.5+2.5+1.5+1+5+2+1+1.5=17cm
Type the correct answer in each box. Use numerals instead of words. If necessary, round to the nearest hundredth.
The relationship between the values of two different currencies is modeled by a linear function that varies depending on the current value of each currency. The table shows the relationship between an amount in U.S. dollars, x, and the equivalent amount in euros, f(x), where f(x) = x/1.06.
The inverse function is given by f⁻¹(x) = 1.06x. 2 euros is equivalent to 2.12 U.S. dollars. 4 euros is equivalent to 4.24 U.S. dollars
How to find the inverse function?Given that: the two different currencies is modeled by a linear function f(x) = x/1.06
where, x = an amount in U.S. dollars and f(x) = the equivalent amount in euros
To find the inverse function f⁻¹(x). Let y = f(x):
y = x/1.06
x = 1.06y
Since x = f⁻¹(y) = 1.06y
Thus, f⁻¹(x) = 1.06x
Note: f⁻¹(x) will help you convert from euros to dollar
2 euros to dollars will be:
f⁻¹(x) = 1.06x
f⁻¹(2) = 1.06(2) = 2.12
Thus, 2 euros is equivalent to 2.12 U.S. dollars
4 euros to dollars will be:
f⁻¹(x) = 1.06x
f⁻¹(4) = 1.06(4) = 4.24
Thus, 4 euros is equivalent to 4.24U.S. dollars
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Which of the following is the solution to the following system of inequalities?
x+2y<=4
3x-y>=2
See the picture for the graphs. Any help is appreciated!! This is honors algebra 2 on Apex learning.
Answer: B.
Step-by-step explanation:
x+2y≤4
3x-y≥2
-4x + 3 = 2(x - 1) Solve for x
Answer:
x = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
- 4x + 3 = 2(x - 1) ← distribute parenthesis by 2
- 4x + 3 = 2x - 2 ( subtract 2x from both sides )
- 6x + 3 = - 2 ( subtract 3 from both sides )
- 6x = - 5 ( divide both sides by - 6 )
x = [tex]\frac{-5}{-6}[/tex] = [tex]\frac{5}{6}[/tex]
Aniyah invests $2300 in one account and $1400 in an account paying 4 % higher interest. At the end of one year she had earned $130 in interest. At what rates did she invest
The rate of interest in one account whose investment is $2300 will be 3.21%.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Aniyah puts $2300 in one record and $1400 in a record paying 4 % higher interest. Toward the finish of one year, she had procured $130 in interest.
Let 'x' be the interest. Then the equation is given as,
(2300 × x × 1)/100 + (1400 × 4 × 1) / 100 = 130
Simplify the equation, then we have
23x + 56 = 130
23x = 74
x = 3.21%
The pace of revenue in one record whose speculation is $2300 will be 3.21%.
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in the us, florida has the highest probability of being the location for a hurricane's landfall. the probability that a hurricane will make landfall in florida is 49%. what is the probability that a hurricane will not make landfall in florida? type your answer as a percentage.
If the probability that a hurricane will make landfall in Florida is 49%, then the probability that a hurricane will not make landfall in Florida is 51%
The probability that a hurricane will make landfall in Florida = 49%
The probability is the ratio of number of favorable outcomes to the total number of outcomes
The equation of probability will be
Probability = Number of favorable outcomes / Total number of outcomes
Given that
The probability that a hurricane will make landfall in Florida = 49%
The probability that a hurricane will not make landfall in Florida = 1 - The probability that a hurricane will make landfall in Florida
= 1 - 0.49
= 0.51
= 51%
Therefore, the probability that a hurricane will not make landfall in Florida is 51%
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(x-14)÷7=12 I just need help
Answer:
x = 98
Step-by-step explanation:
Solve for x:
(x - 14)/7 = 12
Multiply both sides of (x - 14)/7 = 12 by 7:
(7 (x - 14))/7 = 7×12
(7 (x - 14))/7 = 7/7×(x - 14) = x - 14:
x - 14 = 7×12
7×12 = 84:
x - 14 = 84
Add 14 to both sides:
x + (14 - 14) = 14 + 84
14 - 14 = 0:
x = 84 + 14
84 + 14 = 98:
Answer: x = 98
find an equation for a line perpendicular to y=2x-3, passing through the origin.
Mr. Jacks gave the students in his science class a test with two types of questions: multiple choice and short answer.
. There were 41 questions worth a total of 100 points.
The multiple choice questions were worth 2 points each, and the short answer questions were worth 4 points each.
Let Mrepresent the number of multiple choice questions on the test and Srepresent the number of short answer questions on the test. Which system of
equations can be used to determine the number of each type of question on the test? pls help
Answer:
Choice B:
2M + 4S = 100
M + S = 41
Step-by-step explanation:
2M [multiple choice questions were worth 2 points each]
4S [short answer questions were worth 4 points each]
= 100 [worth a total of 100 points.]
2M + 4S = 100
M + S = 41 [There were 41 questions]
Find x in the equation. 4 times x plus one half equals one half times x plus 4
After solving the equation, the value obtained for x will be equal to 1.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the information given in the question,
4 times x plus one-half equals one-half times x plus 4.
Let's write it in mathematical form,
4x + 1/2 = 1/2x + 4
Now, solve the equation for x,
4x - 1/2x = 4 - 1/2
(8x - x)/2 = (8 - 1)/2
7x/2 = 7/2
x = (7 × 2)/(2 × 7)
x = 14/14
x = 1
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Jill made a popcorn container that is shaped like a cone. The diameter of the opening is 8 inches and the height is 9 inches. What is the volume of the popcorn container? Leave answer alone, do not round.
Answer for ten points!
The simplified expression of 3y + 6x - 2x - 2y is y + 4x.
How to simplify an expression?An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations like addition and subtraction.
To simplify an expression means to write an equivalent expression which contains no similar terms or rewriting the same algebraic expression with no like terms.
Therefore, let's simplify the expression with no like terms as follows;
3y + 6x - 2x - 2y
combine like terms
3y - 2y + 6x - 2x
Therefore, the simplified expression is y + 4x
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Help me with this question please !!
Answer:
∠1 = 33°∠2 = 47°Step-by-step explanation:
You want to know the measure of angle 1 given that angle 2 is 14° more and their total is 80°.
Angle sum theoremThe angle sum theorem tells you the whole is equal to the sum of the parts.
∠1 +∠2 = ∠ABD
Using the given values, we have ...
∠1 +(∠1 +14°) = 80°
2×∠1 = 66° . . . . . . . . . subtract 14°
∠1 = 33° . . . . . . . . divide by 2
∠2 = 33° +14°
∠2 = 47°
Billy pulled a number of colored marbles from a large bag. green 1 orange 4 red 1 yellow 9 white 3 Based on experimental probability, how many of the next 20 marbles selected should you expect to be yellow marbles?
The likelihood that the next 20 marbles picked will be yellow marbles is 9/20.
What is probability?Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
The probability that of the next 20 marbles selected it is expect to be yellow marbles,
=9/20
The probability that of the next 20 marbles selected it is expect to be yellow marbles will be 9/20.
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Answer:
the answer is 10
Step-by-step explanation:
ixl says its ten
Grace has 2 quartera . Jen have 4 dimesss were ans 1 nickels. Keesha has 3 dimes and 3 nickels. Terry has 1 quarters , 1 dime who has the most money
Answer: grace has the most money
Step-by-step explanation:
Because
Grace has 2 quarters = 50 cents
Jen has 4 dimes and 1 nickel = 45 cents
Keesha has 3 dimes and 3 nickels = 33 cents
Terry has 1 quarter and 1 dime = 26 cents
so as you can see grace has the most money
Identify the pattern.
-4. -5.5, -7, -8.5, -10, -11.5, -13,..
Answer:
The pattern is that each number in the sequence is the previous number minus 1.5. For example, -5.5 is -4 minus 1.5, -7 is -5.5 minus 1.5, and so on.
Answer:
-1.5
Step-by-step explanation:
You take two of the variables in the pattern and subtract them with the second one being the minuend, and the first being the subtrahend.
For example we will use -4 and -5.5
(-5.5) - (-4) = -1.5
There is a negative sign present so it indicates subtraction towards the pattern.
Hence, the pattern change rate is -1.5
Elevation (meters) -2 , 2 , -4 which is higher ???
Answer:
2
Step-by-step explanation:
-2 and -4 are less than 0
2 is greater than
If you write down in descending order ===> 2, -2 , -4
Cuando A =
b.h
2
es resuelto por h el resultado es:
Area del triangulo = base por altura/2
A = b*h/2
A = 22,5cm²
Base = 5cm
a = b*h/2
22,5cm² = 5cm /h
22,5cm²/5cm = h
4,5cm = h
What is Area del?
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
La altura del triangulo es de 4,5cm
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the manager at a local movie theater has collected data for a long period of time and has concluded that the revenue from concession sales during the first show each evening is normally distributed with a mean equal to $336.25 and a variance equal to 1,456. based on this information, what are the chances that the revenue on the first show will exceed $800?
The chances that the revenue on the first show will exceed $800 when mean revenue is $336.25 and standard deviation is $38.16 is essentially zero. i.e. 0
A normal distribution is a type of continuous probability distribution in which the majority of data points cluster in the middle of the range, while the remainder taper off symmetrically toward either extreme. The mean of the distribution is also known as the middle of the range.
The normal distribution is primarily used to calculate the likelihood of an observation in a distribution falling above or below a given value.
Given,
Mean, [tex]\mu[/tex] = 336.25
variance, [tex]\sigma^2[/tex]= 1456
then,
standard deviation, [tex]\sigma = \sqrt{1456}[/tex] = 38.16
To determine the chances that the revenue on the first show will exceed 800 is1:
[tex]1-p(z=\frac{x-\mu}{\sigma})\\\\=1-p(z=\frac{800-336.25}{38.16})\\\\=1-p(z=\frac{436.75}{38.16})\\\\=1-p(z=12.15)\\\\=1-1=0[/tex]
Hence, there is no chance that the revenue will exceed $800 on the first show.
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a box of a dozen donuts contains 5 glazed, 3 blueberry, and 4 chocolate donuts. what is the probability that you randomly choose a chocolate donut from the box? state your answer as a reduced fraction.
A box of a dozen donuts, the probability that you randomly choose a chocolate donut from the box is 1/3 ....
What is Probability?Probability is the study of occurrence of chance of a particular result. It is calculated by ratio of favourable outcomes and the total possible outcomes.
We have box of a dozen donuts contains,
The number of glazed donuts in box = 5
The number of blueberry donuts in box = 3
The number of chocolate donuts in box = 4
So, the total number of donuts = 12
We have to calculate probability that you randomly choose a chocolate donut from the box, say P(X) .
That is one donut is selected randomly from box.
P(X) = Number of favourable cases/ Total number of possible outcomes
= 4/12 = 1/3
Thus, the required probability is 1/3.
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You are taking a road trip with a friend. If you and your friend split the driving, the trip will take you no more than 15 hours to complete. You want to drive less than 8 hours. Your friend agrees to drive at least 10 hours. Let x represent the hours you will drive, and y represent the hours your friend will drive. Which of the following would NOT be an inequality in this system?
Answer:
The inequality x + y > 15 would not be valid in this system. This inequality states that the total number of hours that you and your friend drive together is greater than 15 hours, but we know that the trip will take no more than 15 hours to complete. Therefore, this inequality is not valid.
The other inequalities in the system are:
x < 8, because you want to drive less than 8 hours
y > 10, because your friend agrees to drive at least 10 hours
x + y <= 15, because the trip will take no more than 15 hours to complete.
These inequalities are all valid and can be used to determine the possible number of hours that you and your friend will drive on your road trip.
Brian irons \dfrac29
9
2
start fraction, 2, divided by, 9, end fraction of his shirt in 3\dfrac353
5
3
3, start fraction, 3, divided by, 5, end fraction minutes. Brian irons at a constant rate.
The shirt that Brian can iron in a minute is 5/81 shirts.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In this case, when we have a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
Here, Brian irons 2/9 of his shirt in 3 3/5 minutes and it was stated that he irons at a constant speed
Therefore, to calculate the shirt he iron in a minute will go thus:
Here, set up a proportion (shirt ironed/minutes = shirt ironed/minutes). This will be illustrated as:
= 2/9 ÷ 3 3/5
= 2/9 ÷ 18/5
= 2/9 × 5/18
= 10 / 162
= 5 /81
The Fraction that illustrates the information is 5/81.
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Complete question
Brian irons 2/9 of his shirt in 3 3/5 minutes. If Brian irons at a constant speed how much of his shirt does he iron in a minute
Question
If a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?
Omiles
3 miles
O 2x miles
02 miles
The distance travelled by car in 90 minutes will be 1.5x miles. The correct option is B.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that If a car travels at an average speed of x miles per hour. The distance travelled by car in 90 minutes will be calculated as,
x miles ⇒ 1 hours
x miles ⇒ 60 minutes
1 minute ⇒ x / 60 miles
90 minutes ⇒ ( 90x) / 60
90 minues ⇒ 1.5x miles
The missing options are given below.
A. 1.5x miles
B. 3x miles
C. 2x miles
D. 4x miles
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i need help on this 15<−5x
Answer:
x < -3
Step-by-step explanation:
15 < -5x
15/-5 > -5x/-5
-3 > x
Move the variable to the left and flip the inequality
x < -3
PLEASEE 80 POINTS FOR THE ANSWERR Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
śiŕe ťhe śeçondè çolumm y has ťhe èntieŝ 2 2 2 2
Step-by-step explanation:
ĥopè ťis ĥeĺpś
22. In the diagram of trapezoid ABCD below, AB || DC, AD = BC, mA = 4x+20, and m/C= 3x - 15. What is m
1) 25
2) 35
3) 60
4) 90
Hello,
I hope you and your family are doing well!
Since AB || DC and AD = BC, trapezoid ABCD is a parallelogram, which means that its opposite sides are parallel and congruent. Therefore, angle A is congruent to angle C and angle B is congruent to angle D.
Since mA = 4x+20 and m/C= 3x - 15, we know that mA + mC = 4x+20 + 3x - 15 = 7x + 5.
Since angles A and C are congruent, we can set their measures equal to each other:
mA = mC
4x+20 = 3x - 15
Solving this equation for x gives us x = 5. Substituting this value back into the equation mA + mC = 7x + 5 gives us:
mA + mC = 7 * 5 + 5 = 35
The answer is 35 (Option 2)
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Happy Holidays & New Year!
The solution is, the value of m is is 35 (Option 2).
What is parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
hee, we have,
Since AB || DC and AD = BC, trapezoid ABCD is a parallelogram, which means that its opposite sides are parallel and congruent. Therefore, angle A is congruent to angle C and angle B is congruent to angle D.
Since mA = 4x+20 and m/C= 3x - 15, we know that mA + mC = 4x+20 + 3x - 15 = 7x + 5.
Since angles A and C are congruent, we can set their measures equal to each other:
mA = mC
4x+20 = 3x - 15
Solving this equation for x gives us x = 5.
Substituting this value back into the equation mA + mC = 7x + 5 gives us:
mA + mC = 7 * 5 + 5 = 35
The answer is 35 (Option 2)
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