Answer:
(a) 3750 to 3 s.f
(b) 0.004710 to 4 s.f
(c) 5000 to 2 s.f
(d) 0.10000 to 2 s.f
0.10000 to 3 s.f
Step-by-step explanation:
Things to note when rounding off a number to a number of significant figures:
For a given number,
i. the most significant digit is the leftmost digit as long as it is not zero. For example, in 789, the most significant digit is 7.
ii. when rounding off to m significant figures, the least significant digit is the mth digit from the most significant digit. This can be zero. For example, to round off 789 to 2 significant figures, the least significant digit is 8 (since it's at position 2 starting from 7).
iii. every digit from the least significant digit is a non-significant digit. For example, to round off 789 to 2 significant digit, the digits after 8 (which is the least significant digit) are all non-significant. In this case, 9 is not significant. After rounding off, these non-significant digits are changed to zero.
iv. the first non-significant digit is the digit just after the least significant digit. For example, to round off 789 to 2 significant digit, the digit just after 8 (which is the least significant digit) is 9. Therefore, 9 is the first non-significant digit.
Rounding off rules
i. the least significant digit will be unchanged if the first non-significant digit is less than 5.
ii. the least significant digit will be increased by 1 if the first non-significant digit is greater than or equal to 5.
iii. all non-significant digits are either removed or changed to zero depending on whether the number is a decimal.
(a) 3748 (3 s.f)
The least significant digit here is 4 since it is at position 3 starting from the most significant digit 3
The first non-significant digit is 8 which is greater than 5.
Therefore, the least significant digit 4 is increased by 1 to get 5 and the non-significant digits (8 in this case) are changed to 0.
The result is thus 3750.
(b) 0.004070989 (4 s.f)
The least significant digit here is 0 since it is at position 4 starting from the most significant digit 4
The first non-significant digit is 9 which is greater than 5.
Therefore, the least significant digit 0 is increased by 1 to get 1 and the non-significant digits (8 and 9 in this case) are changed to 0.
The result is thus 0.004071000.
The ending zeros can be removed to give 0.004071
(c) 4971 (2 s.f)
The least significant digit here is 9 since it is at position 2 starting from the most significant digit 4.
The first non-significant digit is 7 which is greater than 5.
Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow. This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (5 in this case which will become 6 due to the addition). The non-significant digits (7 and 1 in this case) are changed to 0.
The result is thus 5000
(d) 0.09999 (2 s.f)
The least significant digit here is 9 since it is at position 2 starting from the most significant digit 9.
The first non-significant digit is 9 which is greater than 5.
Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.
This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).
This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 and 9 in this case) are changed to 0.
The result is thus 0.10000
The ending zeros can be removed to give 0.1
d (ii) 0.09999 (3 s.f)
The least significant digit here is 9 since it is at position 3 starting from the most significant digit 9.
The first non-significant digit is 9 which is greater than 5.
Therefore, the least significant digit 9 is increased by 1 to get 10. This is a sort of overflow.
This means that the least significant digit will be 0 and a 1 will be added to the significant digit before it (9 in this case which will become 10 due to the addition).
This addition also causes an overflow thereby causing 1 to be added to the digit before it (9 in this case which will become 10 due to the addition).
This addition also causes an overflow thereby causing 1 to be added to the digit before it (0 in this case which will become 1 due to the addition). The non-significant digits (9 in this case) are changed to 0.
The result is thus 0.10000
The ending zeros can be removed to give 0.1
what is 25% of 144 (please help i have a few more hours to get done my final exam and this final review
% 25 = 1/4
Thus :
144 × 1/4 = 36
What is the mean of the snowfall amounts?
16.9 inches
15 inches
15.9 inches
16 inches
Year Snowfall (inches)
1997 14
1998 10
1999 17
2000 24
2001 12
2002 19
2003 15
2004 27
2005 14
2006 17
Answer:
16.9
Step-by-step explanation:
14+10+17+24+12+19+15+27+14+17=169
169/10=16.9
Your carry-on bag weighs 25 pounds. Carry-on bags can weigh at most 50 pounds. Write and solve an inequality to represents how much more weight you can add to the bag and still meet the requirement.
Answer: Required inequality: [tex]25+x\leq 50[/tex]
we can add at most 25 pounds.
Step-by-step explanation:
Let x = Weight added.
As per given,
25 pounds + Weight added Must be less than or equal to 50 pounds
i.e. Required inequality: [tex]25+x\leq 50[/tex]
To solve , we subtract 25 from both the sides ,we get
[tex]x\leq 25[/tex]
hence, we can add at most 25 pounds.
Akhil and Sonu are friends who study in the same school who attended their Assessment test, after they get their results, Akhil and
Sonu compared their scores. His friend Sonu claims that his score is a two-digit number, the sum of the digits of which is 14. The
number formed on reversing the digits of this number is 36 less than the number.
Read the paragraph carefully and answer the below question:
11.
1) What is the digit in the unit's place originally? help plsss
Answer:
digit in the unit's place originally = 5
Step-by-step explanation:
x + y = 14
xy - yx = 36
Now, the only single digits that sum up to 14 are;
9 + 5 = 14
8 + 6 = 14
We can't use 7 + 7 because they said there is a difference when the numbers are reversed.
Now, let's assume 95 is the original number since we are told when it is reversed it is lesser.
Thus, when reversed we have 59.
Difference = 95 - 59 = 36
Thus,unit number of original number = 5
A survey shows that the probability of students choosing a career in medicine is 11 out of 50. Predict how many students out of 500 will enter the medical field.
Answer:
110?
Step-by-step explanation:
From what I read,
500/50= 10
so:
10×11= 110
What is the measurement of angle 1?
please help
Answer:
∠ 1 = 63°
Step-by-step explanation:
∠ 1 and 117° are adjacent angles and sum to 180° , that is
∠ 1 + 117° = 180° ( subtract 117° from both sides )
∠ 1 = 63°
The sum of two numbers is 21 . One number is 12 more than the other one. Find the numbers.
Answer:
4.5 and 16.5
Step-by-step explanation:
4 + 16 = 20
5 + 17 = 22
(NUMBERS HAVE TO BE BETWEEN 4 - 5 AND 16 - 17)
4.5 + 16.5 = 21
16.5 - 12 = 4.5
Help me please I need help
Answer:
0.47 (Yes - This is a terminating decimal)
0.16666... (Yes - This is a repeating decimal)
0.5473... (No - This is a decimal that neither terminates nor repeates)
0.462 (Yes - This is a terminating decimal)
Step-by-step explanation:
A terminating decimal and a repeating decimal are both types of decimals that can be written as fractions. However, if the decimal is neither of these types, it cannot be written as a fraction.
Help!, I need the answer in 30 minutes! For which values of the parameter p equation x ^ 2-px + 3 = 0 has a root in the range [0; 1], and another that does not belong to this range?
Answer:
p = 4
Step-by-step explanation:
Given the expression x ^ 2-px + 3 = 0
If x = 0 is a solution
Substitute into the expression
0² - 0p + 3 = 0
-0p = -3
p = 3/0
p cannot be determined for this root
If x = 1
1² - 1p + 3 =0
1 - p + 3 = 0
-p+4 = 0
-p = -4
p = 4
Hence the va;ue of p is 4
Evaluate -4,550 divided by 7
Answer: -650
Step-by-step explanation:
I hope this helps :))
Answer quick. please say either A,B or C in your answer. no need for explanation
A triangle has side lengths of 6, 8, and 10. Is it a right triangle?
Answer: Yes
Step-by-step explanation:
You can tell that two of the numbers are only 2 apart, hence CB and CA, and the other one, AB, or the bottom side, is way less.
Answer:
YES IT IS
Step-by-step explanation:
For a triangle to be a right triangle, it must follow pythagorean theorem to find the hypotenuse (long side of triangle).
A squared + B squared = C squared
6 squared + 8 squared = 100
Since we squared our addends, we must find the square root of 100 (which is 10)
Since 10 is one of the side lengths for the hypotenuse since it is the longest, and we got 10 from pythagorean theorem, we know it is a right triangle.
Hope this helps you. Have a great rest of your day.
Please help I dont get it
Answer:
B. 12cm
Step-by-step explanation:
We can double check by plugging in the number. However, the question trys to trick you, by giving you the diametre, but in order for the formula to work (V=4 /3πr^3), we will divide the diametre by 2 (12 ÷ 2= 6),
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Once we do that, we can double check, when you plug in your numbers your answer will be around 900 (904.78, to be exact, but the question asks for approximate diamtetre).
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Have a good day :)
What is the value of r
Answer:The value of R at atm that is at standard atmospheric pressure is R = 8.3144598 J. mol-1. K-1.
Step-by-step explanation:i got this from someone
Find the slope please!
Answer:
slope = -3 and equation of line is y = -3x+16
Step-by-step explanation:
two points, (0,16), and (2,10)
rise/run: y2-y1/x2-x1 = 10-16/2-0 = -6/2 = -3
What is the slope, m, and the y-intercept of the line that is graphed below?
Answer:
m=1 (0,3)
Step-by-step explanation:
m=1
slope is 1 because from left to right the line goes up and you move one 1and one to the left so m=1/1 =1
y-intercept is at (0,3) because is where the line intersects the y-axis
out of the total 225 students surveyed, what is the probability that a randomly selected student who is enrolled in spanish will also be taking math?
Answer:
5 ÷ 5 = 1
125 5 25
Step-by-step explanation:
The number between the two it's the number of people who does both
Given: AM = 8, AB = 5x +1 and M is the midpoint of AB, find x and AB
X=
AB=
Answer:
x = 3
AB = 16
Step-by-step explanation:
Given: AM = 8, AB = 5x +1 and M is the midpoint of AB, the AM = MB
AB = 2AM
5x+1 = 2(8)
5x + 1 = 16
x = 16 - 1
5x = 15
x = 15/5
x = 3
Hence the value of x is 3
Since AB = 5x+1
AB = 5(3) + 1
AB = 15 + 1
AB = 16
Convert the decimal, 2.55, into an improper fraction
Answer:2.55 in fraction form is 51/20.
Step-by-step explanation:
please help i am confused
what is 2x=10 simplified?
Answer:
x=5
Step-by-step explanation:
2x=10
Divide each side by 2
2x/2 = 10/2
x = 5
help, please !! you will get 10 points !!
Answer:
25.5
Step-by-step explanation:
Using SOH CAH TOA, you can see that x is the hypotenuse, and 24 is adjacent to the angle 20, so you will need to use CAH.
CAH is cos=adjacent/hypotenuse. Substituting our values in means cos(20) will be equal to 24/x. By cross multiplying, you receive cos(20) x =24. To find x, divide 24 by cos(20) to get 25.5 to the nearest tenth.
It’s either A or B help please
Mr. Sandhu's class has 19 students. The students share 6 pizzas equally. What fraction of a pizza will each student receive?
Answer:
3 1/6
Step-by-step explanation:
19 divided by 6 = 3 1/6
Answer:
3 1/6
Step-by-step explanation:
I believe it is C. But if I’m wrong let me know :)
(No link pls <3)
I also think- Because you're drawing on the same marble without replacing it.
what is the equation representing
Answer:
Exponential growth. Hope it helps.
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( x − 23 ) ∘ ∠A=(x−23) ∘ and m ∠ B = ( 2 x + 29 ) ∘ ∠B=(2x+29) ∘ , then find the measure of ∠ B ∠B
Answer:
85
Step-by-step explanation:
2x + 29 + x - 23 = 180
solve for x = 28
b = 2 * 28 + 29 = 85
Which of these decimals represents the shaded area of the grid? A) .8 x .6 = .48 B) .8 x .6 = 4.8 C) .8 x .6 = .084 D) .8 x .6 = .84
Answer:
A) .8 x.6 = .48
Step-by-step explanation:
B, C, and D are all answered incorrect
The chart below show the highest points in California's channel island
The value of the 1 in vista points height is ten times the value in_____height
Answer:
I think it’s Soledad
Step-by-step explanation:
What is the value of of y in the equation -3y+11=20
Answer:
Step-by-step explanation:
-3y+11=20
-3y=20-11
y=9/-3
y=-3
Answer:
y = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-3y + 11 = 20
Step 2: Solve for y
[Subtraction Property of Equality] Subtract 11 on both sides: -3y = 9[Division Property of Equality] Divide -3 on both sides: y = -3