Answer:
Diameter = 2 × [tex]10^{-4}[/tex] inches
Step-by-step explanation:
Given the diameter of the smallest visible particle, 0.0002 inches, we can express this into the following scientific notation: 2 × [tex]10^{-4}[/tex] inches.
In expressing decimal forms into scientific notation, the goal is to move the decimal point towards the right, until there is only one non-zero digit remaining towards the left-side of the decimal point. In this case, it will take 4 units towards the right of the sole non-zero digit, which is 2. Moving the decimal point towards the right means that 10 will have a negative exponent.
Therefore, the scientific notation of 0.0002 inches is 2 × [tex]10^{-4}[/tex] inches.
Answer:
2·[tex]10^{-4}[/tex]
Step-by-step explanation:
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
At a sale this week, a table is being sold for $119. This is a 65% discount from the original price.
What is the original price?
Answer:
77,35
Step-by-step explanation:
How do you solve x+20<-10
Answer:
X = - 31
Step-by-step explanation:
The < always faces the largest number so do. -10-20= - 30 so any number bellow that e.g.-31, -45 will be correct I think
Which equation represents the statement: Three times the sum of a number and 5 is –30?
3n + 5 = -30
3(n+5) = -30
n + 15 = -30
(n + 5) ÷ 3 = -30
Answer:
3(n+5)=-30
Step-by-step explanation:
Three times the sum of a number and 5 is - 30
Vocabulary:
times = multiplication, represented with *
sum = addition, represented by +
unknown number = n
Three * the sum of a number and 5
The sum of a number and 5 is the same as saying n + 5
So we are multiplying 3 by n + 5
Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.
So we get 3( n + 5 ) is -30
3(n+5)=-30 is the answer.
Answer:
[tex]3(n+5)=-30[/tex]
Step-by-step explanation:
1. Divide the problem into pieces. The sum of a number and five can be written as [tex]n+5[/tex], where n is any number.
2. Since the question tells us that this sum is multiplied by 3, we expand the expression to [tex]3(n+5)[/tex].
3. Finally, the question tells us that this expression is equal to -30. This means we can express the entire statement as the equation [tex]3(n+5)=-30[/tex].
what is 3/4 divided by 11/20
Answer:
11/15
Step-by-step explanation:
11/20 / 3/4
11/20*4/3
44/60
22/30
11/15
Answer:
15/11
Step-by-step explanation:
3/4 divided by 11/20?
Reduce the expression, if possible, by canceling the common factors.
Exact Form: 15/11
decimal form: 1.36
mixed number form: 1 4/11
33. Due to some error in a weighing scale, it shows the following reading when at rest (no weight is placed on it). Neerja measured her weight on this scale. The weight shown on the scale was 28 kg. What should she do to find out her correct weight?
(A) Add 2 kg to the weight shown. (B) Subtract 2 kg from the weight shown.
(C) Subtract 28 kg from the weight shown. (D) Add 4 kg to the weight shown
Answer:
The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A
A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)
Answer:
5/28
Step-by-step explanation:
First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.
The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.
(5,65) (7,71) slope
Answer:
3
Step-by-step explanation:
The slope formula is m=y2-y1/x2-x1
y2 is 71
y1 is 65
x2 is 7
x1 is 5
71-65 is 6
7-5 is 2
So the slope looks like this:
6/2
Simplify:
Which is 3
Hope this helps!
Please help I do not understand thanks
A package contains 12 ounces of cereal .If you use 1 portion of this cereal which is 1 1/3 how much would be left in the cereal box?
To answer this question, you would need to divide the total amount of cereal in the box by the serving size.
This would be 12 2/3 divided by 1 1/3.
We can write each mixed number as an improper fraction first before we divide:12 2/3 = 38/3 and 1 1/3 = 4/3
Now divide 38/3 by 4/3. Recall that dividing by a fraction is accomplished by multiplying by the reciprocal of the divisor: 38/3 * 3/4 = 114/12 = 38/4 OR 19/2
Also, 19/2 is equivalent to 9 and 1/2. There would be 9 and 1/2 servings in the box of cereal.
Hope this helps
For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 125 and a standard deviation of 5. What percentage of males in the town that
have a systolic blood pressure higher than 131, to the nearest tenth?
Answer:
11.5 %
Step-by-step explanation:
mean- 125 | sd: 5
z-score: 131-125/5= 6/5= 1.2
for z= 1.2, percent: 88.49 %
100-88.49= 11.51 -> 11.5
She calculates the percentage of applicants in her sample that are in poverty. Is this percentage a parameter or a statistic, and why
Answer:
A statistic
Step-by-step explanation:
This is because she only examined the applications that she selected.
The given percentage represents statistic.
What is percentage?
" Percentage is defined as the hundredth part of a given quantity."
According to the question,
Given,
Collection of data applicants in form of sample
Percentage calulation based on sample
Parameter : Parameter represents the data of whole population, here she collects sample.
parameter is not the correct answer.
Statistic : Statistic represents the sample of the data and she has calculated percentage of the sample.Statistic is the correct answer.
Hence, the given percentage represents statistic.
Learn more about percentage here
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the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is (a) exactly six, (b) at least six, and (c) more than six. (a) P(exactly six)= enter your response here (Round to four decimal places as needed.)
Using the Poisson distribution, it is found that the probabilities are:
a) 0.149
b) 0.6993
c) 0.5503
We are given only the mean, hence, the Poisson distribution is used.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.The mean is of 7 births per minute, hence [tex]\mu = 7[/tex].
Item a:
The probability is P(X = 6), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 6) = \frac{e^{-7}(7)^{6}}{(6)!} = 0.149[/tex]
Item b:
This probability is:
[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]
In which:
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
Following the logic used in item a to find each probability, we have that [tex]P(X < 6) = 0.3007[/tex], hence:
[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.3007 = 0.6993[/tex]
Item c:
This probability is:
[tex]P(X > 6) = 1 - P(X \leq 6)[/tex]
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
We have that [tex]P(X \leq 6) = 0.4497[/tex], hence:
[tex]P(X > 6) = 1 - P(X \leq 6) = 1 - 0.4497 = 0.5503[/tex]
A similar problem is given at https://brainly.com/question/16912674
$32.00for a 14 2/9 km taxi ride. What is the cost per kilometer
[tex]\begin{array}{ccll} \$&km\\ \cline{1-2} 32&14\frac{2}{9}\\[1em] x&1 \end{array}\implies \cfrac{32}{x}=\cfrac{14\frac{2}{9}}{1}\implies \cfrac{32}{x}=14\frac{2}{9}\implies \cfrac{32}{x}=\cfrac{14\cdot 9+2}{9} \\\\\\ \cfrac{32}{x}=\cfrac{128}{9}\implies 288=128x\implies \cfrac{288}{128}=x\implies \stackrel{~\hfill \textit{2 bucks and 25 cents}}{\cfrac{9}{4}=x\implies 2\frac{1}{4}}=x[/tex]
6=2(y+2) what is the value of y in the equation
Answer: the value of y is 1
Step-by-step explanation: 6=2 x 1+2
What is the slope of the line that has a y-intercept of (0, 6) and passes through the point (2, 8)?
m= ?
Answer:
m=1
Step-by-step explanation:
[tex]m=\frac{8-6}{2-0} =\frac{2}{2} =1[/tex]
I hope this help you
Find the number N , such that when 1 ÷3
of it's added to 8 , the results is the same as when 1÷2 of it is subtracted from 18
Answer:
Step-by-step explanation:
8 + N/3 = 18 - N/2
N/3 + N/2 = 18 - 8
2N/6 + 3N/6 = 10
5N/6 = 10
N = 10(6/5)
N = 12
Answer:
N=12
Step-by-step explanation:
Set up an equation involving N
(1/3)N+8=18-(1/2)N
We want to clear the denominator to start with by multiplying everything on both side by 6
2N+48=108-3N
Move all the N's to one side and the number to the opposite
5N=60
Divide by 5
N=12
Check:
(1/3)12+8=18-(1/2)12
4+8=18-6
12=12
|a| if a>0
Please help!
Answer:
Step-by-step explanation:
the absolute value bars mean we ignore the sign of the variable
As (a) is always positive for a>0, |a| = a
For contrast, If the range were a<0 where (a) is always negative, then |a| = -a
Answer:
1/a > 0
Step-by-step explanation:
f(x)=2x^2-3x+5 and g(x)=x-4,
find (f+g)(x)
Answer:
2x^3-2x^2+x
Step-by-step explanation:
Just trust me!
–5(–2) = help me please ill give brainlist
Answer:
The answer is 10!
Step-by-step explanation:
For the function f(x) = 4x3 + 3x + 1, find f '(1).
A.
15
B.
8
C.
12
D.
13
Answer:B
Step-by-step explanation:
Solve algebraically :)
Answer:
x > 4
Step-by-step explanation:
Answer:
should be x > 4
Step-by-step explanation:
To mix weed killer with water correctly, it is necessary to mix 10 teaspoons of weed killer with 2 gallons of water. Find how many gallons of water are needed to mix with the entire box if it contains 20 teaspoons of weed killer.
Answer: 4 gallons
Step-by-step explanation:
Find m/_ABC if BD is an angle bisector of ABC
Answer:
im not quite sure but i think u do it like this:
Step-by-step explanation:
4x-6=x+6
(add 6 to both sides as well as subtracting x from both sides)
3x=12
(divide 3 from both sides)
x=4
tính cỡ mẫu cho một nghiên cứu điều tra xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung bình một đơn thuốc của nghiên cứu thử là 1,03. Nếu như người điều tra tin tưởng 95% rằng kết quả nghiên cứu của mình chỉ sai lệch so với quần thể là 10%
Answer:
xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung
Step-by-step explanation:
If 14 out of 20 students in a college classroom are make, what percentage of the class is composed of men?
Answer:
70% of the class is composed of men.
Step-by-step explanation:
14: 20*100 =
(14*100): 20 =
1400: 20 = 70
2x-32=12
means they spent how much
Answer:
22
Step-by-step explanation:
Can somebody give me an answer? ill give brainiest.
Answer:
The mystery divisor is 18
Step-by-step explanation:
In the beginning, I found it by simply dividing the dividend by the quotient which gave me the divisor of 18. You can start the division equation again and add in the divisor 18 and it'll give you the exact answer.
Another way you'll know it's correct, is by dividing the dividend by that divisor and it'll give you the quotient 225 just like in the image.
Can someone help me with this problem 9(n+3)<10(n+1)
[tex]9(n+3)~<~10(n+1)\implies 9n+27~<~10n+10 \\\\\\ 27~<~n+10 \implies 17 ~<~ n[/tex]
solve pls brainliest
Answer:
Mixed number: 5(1/10)
Improper fraction: (51/10)
Step-by-step explanation:
Hope this helps!
Answer:
Mixed number: 5 1/10 and improper fraction: 52/10