Answer:
[tex]a_{200}=418[/tex]
Step-by-step explanation:
The explicit formula for an arithmetic sequence is given by :
[tex]a_n=20+(n-1)2[/tex] ...(1)
We need to find the 200th term of the sequence.
Put n = 200 in equation (1)
[tex]a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418[/tex]
So, the 200th term of the sequence is 418.
For the one-to-one function
f(x) = x3 - 2, find f-'(x).
Answer:
f-'(x) = [tex]\sqrt[3]{x+2}[/tex]
Step-by-step explanation:
Solve the equation ƒ - (-4) = 12.
ƒ = -8
ƒ = 16
ƒ = 8
ƒ = -9
what is (8+7 + 3.3) times ( 1/2) ^2
Answer & Step-by-step explanation: 4.58
PEMDAS:
Parenthesis first! (8 + 7 + 3.3) = 18.3
Exponents second! [tex]1/2^{2}[/tex] = 1/4 = 0.25
Multiply third and solve! 18.3 x 0.25 = 4.575
Round if needed! 4.575 = 4.58 = 4.6 = 5
What is 1 2/10+8 1/18=
Answer: [tex]{9}\frac{23}{90}[/tex]
Step-by-step explanation:
Solve the
equation:
18 + x = 1
Answer:
x=-17
Step-by-step explanation:
Subtract 18 on both sides
18-18+x=1-18
x=-17
Hope this helps :D
Please mark brainliest
Answer:
x = -17
Step-by-step explanation:
Subtract 18 from both sides to get X by itself.
18 + x = 1
x = 1 - 18
x = -17
I don't understand this question, help me, someone, please
Answer:
Arranging the terms from least to greatest:
[tex]\frac{3039}{1000}<\frac{3200}{1000}<\frac{3990}{1000}<\frac{8200}{1000}[/tex]
Now actual terms arranged from least to greatest will be:
[tex]3\frac{39}{1000}<3\frac{1}{5} <3\frac{99}{100}<3\frac{52}{10}[/tex]
Step-by-step explanation:
We need to arrange the weights [tex]3\frac{1}{5} ,3\frac{39}{1000},3\frac{99}{100},3\frac{52}{10}[/tex] from least to greatest.
To arrange them in least to greatest we need to convert them into improper fractions and then make their denominators same.
[tex]3\frac{1}{5}=\frac{16}{5} \\3\frac{39}{1000}=\frac{3039}{1000} \\3\frac{99}{100}=\frac{399}{100} \\3\frac{52}{10}=\frac{82}{10}[/tex]
Now, Making their denominator same by taking LCM of 5,1000,100 and 10
The LCM is 1000
Now the fractions will become:
[tex]\frac{16}{5}=\frac{16*200}{5*200}=\frac{3200}{1000}[/tex]
[tex]\frac{399}{100}=\frac{399*10}{100*10}=\frac{3990}{1000}[/tex]
[tex]\frac{82}{10}=\frac{82*100}{10*100}=\frac{8200}{1000}[/tex]
Now we have fractions: [tex]\frac{3200}{1000},\frac{3990}{1000},\frac{8200}{1000},\frac{3039}{1000}[/tex]
Now the smallest term will be one having smallest numerator
Arranging the terms from least to greatest:
[tex]\frac{3039}{1000}<\frac{3200}{1000}<\frac{3990}{1000}<\frac{8200}{1000}[/tex]
Now actual terms arranged from least to greatest will be:
[tex]3\frac{39}{1000}<3\frac{1}{5} <3\frac{99}{100}<3\frac{52}{10}[/tex]
The expression 50 can be simplified to
Answer:
25
Step-by-step explanation:
The first step in simplifying the expression of the square root of 50 involves finding factors of 50. This just means we are trying to find two whole numbers that, when multiplied, equal 50. Since 50 is an even number, 2 is going to be a factor, and so we can rewrite 50 as 2 times 25.
Find the range and interquartile range for 47, 49, 48, 45, 50, and 49.
Answer:
really hope this helps or answers your questions!!
Step-by-step explanation:
Mean 49
Mode 45
Median 50
range is 5
Explanation:
Put the numbers in order
45,45,47,50, 51,52,53,
The number that happens MOST the MODE is 45
The number in the MIDDLE, the MEDIAN is 50
The MEAN is the total of the 7 numbers shared out evenly.
Total 343
343 Divided by 7 =49
Write an equation of the line, with a slope of -3 and y- intercept of 9, in slope-intercept form
Answer:
JLKACQSCVWMNDV
Step-by-step explanation:
QSQW VMBW DVNWD VMW V
Answer:y = -3x +9
Step-by-step explanation:
6th grade math I mark as brainliest
Answer:
1/9
Step-by-step explanation:
Multiply the numerators and multiply the denominators
1 x 1 = 1
3 x 3 = 9
Identify each measurement is the diameter radius or circumference the tires on a mining truck and 14 feet tall
Answer:
r = 7
c = 43.98
a = 153.94
Step-by-step explanation:
Charlie saves $29.85 each month for 6 months. In the seventh month, he only saves $10.20. How much money will Charlie have saved after 7 months
Answer:
charli from tiktok???? RENAGADEEEEE
jk $40.05 is the answer
what fraction of 45 m is 180 cm
Answer:
1/25
Step-by-step explanation:
45 meters is equal to 4500cm
4500 divide by 180 is 25
So, 180 is equal to one over 25
(One twenty-fifth)
Find sin A.
Hypotenuse= 45
Opposite= 27
Adjacent= 36
A. sin A=4/5
B. sin A=5/4
C. sin A=4/3
D. sin A=3/5
Answer:
c
Step-by-step explanation:
Answer:
A 4/5
Step-by-step explanation:
Cosine of an angle is the adjacent side over the hypotenuse. Sin A = 36/45 = 4/5.
Hope this Helps :)
What is the value of w ?
Answer:
Step-by-step explanation:
w = 35
What are all the like terms for -5x? a:0.5. B:7.5x. C:-5. D:-x. E:2/3x.
Vertical angles are:
Always congruent
Sometimes congruent
Never congruent?
Answer:
always
Step-by-step explanation:
bc it’s right lolz
Write the decimal as a percent.
5.12
Answer:
512%
Step-by-step explanation:
5.12 × 100 = 512%, just multiply the decimal value by 100.
Answer:
512%
Step-by-step explanation:
take away the decimal point for it
Whatcha ones are true and which are false
what's the question?
2r + 2 = 10
r=?
Hurry Please!!
Answer:
2r+2=10
Step-by-step explanation:
R is 4
u would do 2*4
that equals 8
next add 2+8
you get 10
What is the quotient of the problem 0.492 : 0.04
I need help with number 11 ASAP!
Mikey bikes 12 miles in 2 hours. How many miles does Mikey bike in an hour?
Answer:
6 miles
Step-by-step explanation:
2 hours can be made into 1 hour by dividing by 2. In order to keep the ratio, you also have to divide the miles by 2, giving you 6.
2:12
1:6
The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of $29.81 per hour and a standard deviation of $9.31 per hour. What is the probability that the hourly pay of a randomly selected flight attendant:
a. Is between the mean and $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)
b. Is more than $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)
c. Is less than $20.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)
Answer:
a
[tex]P(29.81 < X < 35) = 0.21141[/tex]
b
[tex]P( X > 35) =0.28859[/tex]
c
[tex]P( X < 20) =0.14601[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$29.81[/tex]
The standard deviation is [tex]\sigma = \$9.31[/tex]
Generally the probability that the hourly pay of a randomly selected flight attendant Is between the mean and $35.00 per hour is mathematically represented as
[tex]P(29.81 < X < 35) = P( \frac{ 29.81 - 29.81 }{9.31} < \frac{x - \mu }{\sigma} < \frac{ 35 - 29.81 }{9.31} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(29.81 < X < 35) = P( 0 < Z < 0.5575 )[/tex]
=> [tex]P(29.81 < X < 35) = P( Z < 0.5575) - P( Z < 0)[/tex]
From the z table the area under the normal curve to the left corresponding to 0 and 0.5575 is
[tex]P( Z < 0) =0.5[/tex]
and
[tex]P( Z < 0.5575) = 0.71141[/tex]
=> [tex]P(29.81 < X < 35) = 0.71141 - 0.5[/tex]
=> [tex]P(29.81 < X < 35) = 0.21141[/tex]
Generally the probability that the hourly pay of a randomly selected flight attendant Is more than $35.00 per hour is mathematically represented as
[tex]P(X > 35) = P( \frac{x - \mu }{\sigma} > \frac{ 35 - 29.81 }{9.31} )[/tex]
[tex]P( X > 35) = P( Z > 0.5575 )[/tex]
From the z table the area under the normal curve to the right corresponding to 0.5575 is
[tex]P( Z > 0.5575 ) = 0.28859[/tex]
=> [tex]P( X > 35) =0.28859[/tex]
Generally the probability that the hourly pay of a randomly selected flight attendant Is less than $20.00 per hour is mathematically represented as
[tex]P(X <20 ) = P( \frac{x - \mu }{\sigma} < \frac{20 - 29.81 }{9.31} )[/tex]
[tex]P( X < 20) = P( Z < -1.0537 )[/tex]
From the z table the area under the normal curve to the right corresponding to -1.0537 is
[tex]P( Z < -1.0537 ) = 0.14601[/tex]
=> [tex]P( X < 20) =0.14601[/tex]
Better Business Bureau conducted survey of 3,765 randomly selected residents of Laradise and found that 60% of them feel the businesses in Laradise, are run by compliant individuals. Find the best point estimate of the proportion of all residents of Laradise who believe businesses are run by compliant individuals.
a. In the prompt above what population parameter are you being asked about?
i. Proportion
ii. Mean
iii. Standard Deviation/Variance
iv. None of the above
b. What is the best point estimate?
c. What is the critical value (zα/2) or (tα/2) that corresponds to a confidence level of 99%?
d. Find the margin of error E, show the formula, fill in the pieces.
e. Construct the 99% confidence interval.
Answer:
a
i. Proportion
b
Best point estimate is [tex]\^ p = 0.60[/tex]
c
[tex]z_{\frac{\alpha }{2} } = 2.58 [/tex]
d
[tex]E = 0.0206 [/tex]
e
[tex] 0.5794 < p < 0.6206 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 3765
The proportion that feel the businesses in Laradise, are run by compliant individuals is [tex]\^ p = 0.60[/tex]
Considering question a
The correct option is Proportion because in the prompt we are told to obtain the fraction of the total sample size that has a particular attribute (which their opinion of business in Laradise) and this is what a proportion represents
Considering question b
The best point estimate is [tex]\^ p = 0.60[/tex] because this proportion best defines the fraction of the sample size who feel the businesses in Laradise, are run by compliant individuals
Considering question c
Generally given that the sample size is large enough n > 30 , it then means that the distribution is approximately normal so
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]z_{\frac{\alpha }{2} } = 2.58 [/tex]
Considering question d
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 2.58 * \sqrt{\frac{ 0.60 (1- 0.60 )}{ 3765} } [/tex]
=> [tex]E = 0.0206 [/tex]
Considering question e
Generally 99% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex] 0.60 -0.0206 < p < 0.60 + 0.0206[/tex]
=> [tex] 0.5794 < p < 0.6206 [/tex]
12 x 1/2
How do I solve that, and what’s the answer?
Answer:
The answer is 6
Step-by-step explanation:
12 divided by 2 is 6. If you have a fraction of 1/2, then its half of it. 6 is half of 12. :)
Answer: 6
Explanation:
You can multiply the numerator by the numerator and the denominator by the denominator.
The numerator of 12 is 12 and denominator of 12 is 1.
[tex]\frac{12}{1} *\frac{1}{2}=\frac{12}{2}[/tex]
Simplify this fraction and you get 6 over 1 or just 6.
You can also use common sense (not really).
You probably know that 1/2 is one half. To find half of something, you would normally divide by 2. 12 divided by 2 is 6.
Nadia surveyed the six grade class to find out about their favorite hobbies. She plans to create a circle graph using the
data. Which statements are true about the circle graph Nadia can create? Check all that apply.
Answer:
im not exactly sure but i think its a b c e i will coment the correct answer if this is wrong
Step-by-step explanation:
Subtract. Express your answer in simplest form.
5
ထ |
9
12
3
O
12
51
108
17
36
What is the circumcenter of the triangle with vertices of (3,5) (-3,-3) and (3,-3)
Answer: (0,1)
Step-by-step explanation:
How many numbers have an absolute of 5/4
A4
Step-by-step explanation:
1/2
1/3
1/5
1/4
The numbers which have an absolute of 5/4 are; -5/4 and 5/4.
According to the question;
We are required to determine how many numbers have an absolute of 5/4.The absolute value of any number, a or -a is always positive a.
In essence, only numbers (-5/4) and 5/4 have an absolute of 5/4.
Read more;
https://brainly.com/question/12928519