The error interval will be [3.65,3.75).
What is an error interval?The error interval is the limit or range of accuracy where the number is truncated or rounded. This interval simply shows the range which it could be before rounding.
Given here the decimal number is 3.7 which is after rounded to 1 decimal place.
As the number is rounded to the nearest 0.1 unit, therefore, the error will be half of 0.1 which is 0.1/2= 0.05
Then the lower limit of the error interval will be 3.7-0.05= 3.65
the higher limit of the error interval will be 3.7+0.05= 3.75
the error interval will be 3.65≤x<3.75
As we are rounding 1st decimal unit, if the second decimal unit is greater than 5 then the first decimal unit will be 6. Similarly, if the second decimal unit is less than 5 then the first decimal unit will be 7.
There are the numbers below which on rounding give 3.7
3.65 ,3.66,3.67 ,3.68,3.69,3.70,3.71,3.72,3.73,3.74
Therefore the error interval will be [3.65,3.75).
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The error interval for a number x, which when rounded to one decimal place is 3.7, is [3.65, 3.75).
Explanation:When a number, x, rounded to one decimal place is 3.7, the error interval for x represents the range of actual values x could be to give that rounded figure. So, if x is rounded to 3.7, it means that the value must be at least 3.65 and less than 3.75 when considering rounding to one decimal place. Essentially, the number must be in the half-open interval [3.65, 3.75).
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The complement of an acute angle is always
f(x)=2x*e^2x. find lim of f(x) as x--> - infinity and +infinity ...?
If 85% of a number is 17, then what is 60% of that number
Find the discriminant of the following equation.
4x2 + 16x + 16 = 0 ...?
Discriminant = b^2 - 4ac
a = 4
b = 16
c = 16
16^2 - 4(4 x 16)
256 - (4x64)
256 - 256 = 0
Therefore it only has one root
The tax rate on Harriet walker $80,000 vacation home is 2 mills. The property is assessed at full value. How much will Harriet Walker pay in taxes this year?
Answer:
Step-by-step explanation:
1600
A regression model in which more than one independent variable is used to predict the dependent variable is called
? a simple linear regression model
? a multiple regression model
? an independent model
? none of the above
What is the common ratio for the geometric sequence?
54, 36, 24, 16...
Answer:
Here is the answer and proof :)
Step-by-step explanation:
39x10^3 in standard form
Angle P is an acute angle.
Which could be the measure of angle P?
A.
80°
B.
100°
C.
90°
D.
180°
Answer
A
Step-by-step explanation:
What Is The Slope Of The Line In The Graph Shown Below?
-2
-1
1
2
Algebra 2 Word Problem: Set up using 3 variables & 3 equations:
"A friend e-mails you the results of a recent high school swim meet. The e-mail states that 24 individuals placed, earning a combined total of 53 points. First place earned 3 points, second place earned 2 points, and third place earned 1 point. There were as many first-place finishers as second and third-place finishers combined."
A: Write a system of THREE equations that represents how many people finished in each place.
B: How many swimmers finished in first place, second and third?
Final answer:
To solve the word problem, we define three variables representing the number of first-, second-, and third-place finishers, respectively. We set up three linear equations based on the information provided, and by solving the system, we determined that 10 swimmers finished in first place, 8 in second, and 6 in third.
Explanation:
Setting Up the Equations
Let's denote the number of first-place finishers as x, second-place finishers as y, and third-place finishers as z. According to the information provided:
Total number of individuals placed: x + y + z = 24
Total points earned: 3x + 2y + z = 53
The number of first-place finishers equals the number of second and third-place finishers combined: x = y + z
This is our system of three equations.
Solving the System of Equations
To solve for the number of swimmers in each place, use the substitution or elimination method:
Since x = y + z, substitute x in the first two equations.
You'll get two equations with two variables (y and z).
Solve these equations to find the values of y and z.
Finally, substitute the found y and z back into x = y + z to get the value of x.
By solving this system, we find that 10 swimmers finished in first place, 8 swimmers finished in second, and 6 swimmers finished in third.
4 pairs of jeans, 3 shirts, and 2 pairs of running shoes. how many combinations can you make
Your class hopes to collect at least 325 cans of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.
a. Write an inequality that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass your goal.
b. How many cans are needed to meet or surpass your goal?
How are rigid transformations used to justify the SAS congruence theorem?
The method in which rigid transformations used to justify the SAS congruence theorem is given.
What is rigid transformation?A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).
We are given that;
Theorem is SAS
Now,
The SAS congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. To prove this theorem using rigid transformations, we can start with two distinct triangles that have a pair of corresponding congruent sides and a corresponding congruent included angle23. Then we can use a translation to move one triangle so that its congruent side matches the other triangle’s congruent side. Next, we can use a rotation to align the congruent angles of both triangles. Finally, we can use another translation to move the second congruent side of one triangle to match the second congruent side of the other triangle. By doing these rigid transformations, we have shown that one triangle can be mapped onto the other triangle exactly, which means they are congruent
Therefore, by the transformations the answer will be given above.
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Help please =]
Solve system of equations using any method 2x-6y=8 and 2x-6y=3
A cone has a diameter of 10 inches. If its height is twice its radius, about what is the volume of the cone in cubic inches? Use 3.14 for π.
Answer with Step-by-step explanation:
The volume of cone is given by:
V=[tex]\dfrac{1}{3}\times \pi r^2h[/tex]
Where r is the radius of cone and h is height
r=d/2 where d is the diameter
Hence, here r=5 in.
height is twice its radius ⇒ h=10 in.
V=[tex]\dfrac{1}{3}\times 3.14\times 5^2\times 10[/tex]
V=261.66 in³
Hence, Volume of cone is:
261.66 in³
how do i solve z+18=y
Can you help me find the value of X?
Answer:
x ≈ 4.1 cm
Step-by-step explanation:
The side (z) opposite the 42° triangle can be found from the relation ...
z/(3.6 cm) = tan(42°)
z = (3.6 cm)·tan(42°) ≈ 3.2415 cm
The relationship between z and x is ...
z/x = cos(38°)
x = z/cos(38°) ≈ 4.1135 cm
x ≈ 4.1 cm
A baker bought some flour. he used 2/5 of the flour to make bread and used the rest to make batches of muffins. if he used 16ib. of flour making bread and 2/3ib.for watch batch of muffins,how many batches of muffins did he make?
Answer:
The baker made 36 batches of muffins.
Step-by-step explanation:
Let the total amount of flour be x
We know he used 2/5 of the flour for bread, we also know he used 16 pounds for bread.
We can write this as :
[tex]\frac{2}{5}\times x=16[/tex]
Solving this we get;
[tex]2x=80[/tex]
So, x = 40
Means total amount of flour was 40 pounds and he used 16 pounds for bread, so the remaining is for batches of muffins, which is [tex]40-16=24[/tex] pounds
As each batch of muffin uses 2/3 pounds, so 24 pounds of flour will be used to bake :
[tex]\frac{24}{\frac{2}{3} }[/tex]
= [tex]\frac{24\times3}{2} =36[/tex]
Hence, the baker made 36 batches of muffins.
Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?
A. P
B. Q
C. T
D. U
the answer is A my good sir/madam
Rewrite 30/6 as a whole number
The fraction 30/6 can be rewritten as the whole number 5 after performing the division operation 30 ÷ 6.
Explanation:The problem asks to rewrite 30/6 as a whole number. In mathematics, this implies using the operation of division. Division is one of the four basic operations in math, along with addition, subtraction, and multiplication.
To solve this problem, you need to divide 30 by 6. Perform the division operation as follows: 30 ÷ 6. The result of this operation is 5.
Therefore, the fraction 30/6 can be rewritten as the whole number 5.
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find the quotient -8b^2-26b+24/-8b+6
true or false. If f is a function, the f(s+t) = f(s)+f(t). ...?
The statement is true for linear functions, but not in general for all functions.
Explanation:The statement is true if f(x) is a linear function.
However, it is not true in general for all functions, so the statement is false.
An example of a linear function where the statement is true would be f(x) = 2x.
If we substitute s + t into the function, we get f(s + t) = 2(s + t) = 2s + 2t.
On the other hand, if we substitute f(s) + f(t) into the function, we get f(s) + f(t) = 2s + 2t.
Therefore, the equality holds and the statement is true for linear functions.
Bruno uses a piece of wrapping paper with dimensions 1 and 1/4 feet by 3 feet to wrap a gift. What is the total area of the paper used to wrap the gift?
Area is determined by using the formula A=lw Area= Length x Width
A= 1 1/4 x 3 convert to an improper fraction
A= 5/4 x 3/1 multiply
A=15/4 divide
A=3 3/4 square feet
Answer: [tex]A=3\dfrac{3}{4}\ ft^2[/tex]
Step-by-step explanation:
Given: The dimensions of the wrapping paper :
[tex]1\text{ and}\dfrac{1}{4}\text{ feet }\text{ by 3 feet}\\\\\text{i.e }1+\dfrac{1}{4}\text{ feet }\text{ by 3 feet}\\\\\text{i.e }\dfrac{5}{4}\text{ feet }\text{ by 3 feet}[/tex]
Now, we know that the area of a rectangle is given by :-
[tex]A=length*width[/tex]
Now, the area of the wrapping paper is given by :-
[tex]A=\dfrac{5}{4}\times3=\dfrac{15}{4}=3\dfrac{3}{4}\ ft^2[/tex]
at the party 2/5 of the pizzas ordered had pepperoni .The kids ate only 1/3 of the pepperoni pizzas, while the parents ate all of the remaining pizza. How much of all the pizza ordered was eaten by the kids ? ...?
Change the fraction 3/4 into a fraction
Answer:
Step-by-step explanation:
6/8
125, 0.12, 0.1 listed to least to greatest
Mae currently has a balance of $8,484.79 in an account earning simple interest. Seventeen years ago she opened the account with an initial deposit of $4,854. What is the interest rate on the account?
4.4%
2.5%
10.3%
5.9%
Determine the indicated side length of the golden rectangle. round your answer to the nearest hundreth....
(Picture below)....
....a. 4.85 ... b. 4.94 ... c. 5.26 ... d. 3.09
Answer:
a. 4.85
Step-by-step explanation:
im right
? = a+b
a = 3
(3+b)/3=3/b
b= -4.85 or 1.85
it cant be negive.
so ? = 3+1.85 = 4.85
Use parallelogram JKLM to find the measure of Angle KLM.