Answers
Answer:
A) The sequence is geometric because the sequence is increasing by a factor of 2 being multiplied to each term, when ascending from left to right.
B) [tex]a_{n} = 5(2)^{n-1}[/tex]
C) [tex]a_{n} = a_{n-1} *(2) ;a_{1}= 5[/tex]
Step-by-step explanation:
The sequence is multiplying each term by a factor of 2.
5*2=10
10*2=20
20*2=40
Related Questions
An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy levels of lead. A biologist classified lead levels greater than 6.0 parts per million (ppm) as unhealthy. The lead levels of a random sample of 23 crows in the region were measured and recorded. The mean lead level of the 23 crows in the sample was 4.90 ppm and the standard deviation was 1.12 ppm.
a) Construct and interpret a 90 percent confidence interval for the mean lead level of crows in the region.
b) A previous study of crows showed that the population standard deviation was at 2.6 ppm. What minimum sample size would be required to construct a 90 percent confidence interval to have a margin of error within 0.03?
Answers
Part A
Given info:
xbar = sample mean = 4.90 ppms = sample standard deviation = 1.12 ppmn = 23 = sample sizeBecause n > 30 is not true, and we don't know the population standard deviation (sigma), this means we must use a T distribution.
The degrees of freedom here are n-1 = 23-1 = 22.
At 90% confidence and the degrees of freedom mentioned, the t critical value is roughly t = 1.717
Use a T distribution table or calculator to determine this. If you don't have a calculator for the task, then you can search out "inverse T calculator" and there are tons of free options to pick from.
The margin of error E is
E = t*s/sqrt(n)
E = 1.717*1.12/sqrt(23)
E = 0.400982
This is approximate and accurate to 6 decimal places.
The confidence interval is going to be xbar plus or minus that E value
L = lower bound = xbar - E = 4.90 - 0.400982 = 4.499018 = 4.50
U = upper bound = xbar + E = 4.90 + 0.400982 = 5.300982 = 5.30
The confidence interval in the format of (L, U) is (4.50, 5.30)
You could also express it as the format L < mu < U and it would be 4.50 < mu < 5.30; however, I'll stick to the first method.
Answer: (4.50, 5.30)=====================================================
Part B
Since we know sigma = 2.6 is the population standard deviation, we can use a Z distribution now.
At 90% confidence, the z critical value is roughly 1.645; use a table or calculator to determine this.
[tex]n = \left(\frac{z*\sigma}{E}\right)^2\\\\n \approx \left(\frac{1.645*2.6}{0.03}\right)^2\\\\n \approx 20325.254444 \\\\[/tex]
Round this up to the nearest integer to get 20326. For min sample size problems, always round up.
Answer: 20326A 5-pound bag of flour costs $12.80. What is the price per ounce?
Answers
12.80 / 5 = 2.56
The radius of a circle is 3 miles. What is the circle's area?
Answers
Answer:
28.26 square milesStep-by-step explanation:
[tex]area = \pi {r}^{2} \\ = 3.14 \times {3}^{2} \\ = 3.14 \times 9 \\ = 28.26 \: {mi}^{2} [/tex]
Identify the mean of each distribution. Distribution A Mean = Distribution B Mean = Distribution C Mean =.
Answers
Answer:
50
100
200
B,C,A
Step-by-step explanation:
The sum of 8 terms of an A.P. is 12, and the sum of 16 terms is 56.
Find the AP
Answers
Answer:
Step-by-step explanation:
[tex]S_{n}=\dfrac{n}{2}(2a + (n-1)*d)[/tex]
Here, n- number of terms ; d - common difference ; a - first term
[tex]S_{8}=12\\\\\dfrac{8}{2}[2a+(8-1)*d]=12\\\\4[2a+7d]=12\\\\2a + 7d = \dfrac{12}{4}\\\\\\2a + 7d = 3 \ -----------------------(i)[/tex]
[tex]S_{16}=56\\\\\dfrac{16}{2}(2a+15d)=56\\\\\\8(2a+15d)=56\\\\2a + 15d=\dfrac{56}{8}\\\\\\[/tex]
2a + 15d = 7 ----------------(ii)
Subtract (i) from equation (ii)
(ii) 2a + 15d = 7
(i) 2a + 7d = 3
- - -
8d = 4
d = 4/8
d = 1/2
Plugin d = 1/2 in equation (i)
[tex]2a +7*\dfrac{1}{2}=3\\\\\\2a = 3 -\dfrac{7}{2}\\\\\\2a =\dfrac{6}{2}-\dfrac{7}{2}\\\\\\2a=\dfrac{-1}{2}\\\\\\a=\dfrac{-1}{2*2}\\\\\\a=\dfrac{-1}{4}[/tex]
Second term = first term + d
[tex]=\dfrac{-1}{4}+\dfrac{1}{2}=\dfrac{-1}{4}+\dfrac{2}{4}=\dfrac{1}{4}[/tex]
[tex]Third \ term =\dfrac{1}{4}+\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{2}{4}=\dfrac{3}{4}\\\\\\Fourth \ term =\dfrac{3}{4}+\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{2}{4}=\dfrac{5}{4}\\\\[/tex]
AP is :
[tex]\dfrac{-1}{4}; \dfrac{1}{4};\dfrac{3}{4};\dfrac{5}{4}.......[/tex]
Please answer soon (40 Points)
Answers
30 dollars
The box plots record data on annual
snowfall at two ski resorts.
Annual Snowfall
Which statement is best supported by the
information in the box plots?
The interquartile
ranges at the two
resorts are equal
The median
snowfall is greater
at Big Snow
The third quartile at
Mittens is less than
the third quartile at
Big Snow
The range is less at
Mittens
Answers
Answer:
Honestly I can't figure it out myself, but I really want to help you.
Step-by-step explanation:
So I don't know how to write a step-by-step explanation
A customer will borrow $12,000 to buy a car. Which loan option would allow
the customer to pay the least amount of interest?
A 4-year loan with a 5.2% annual simple interest rate
A 5-year loan with a 4.2% annual simple interest rate
A 6-year loan with a 4.7% annual simple interest rate
O
A 3-year loan with an 8.4% annual simple interest rate
Answers
Answer:
number one is the best one
The loan option that will allow the customer to pay the least amount of interest is 4-year loan with a 5.2% annual simple interest rate.
Calculation of loan with least simple interest rateFormula for simple interest = P ×T × R/100
P = Principal amount borrowed ($12,000)
T = Time in various years given
R = Rate of simple interest generated
To determine which loan option that would allow the customer to pay the least amount of interest, the simple interest of each option is calculated below
Simple interest of a 4 years loan = 12000×4×5.2/100
= $2,496
Simple interest of a 5 years loan= 12000×5×4.2/100
= $2,520
Simple interest of a 6 years loan= 12000×6×4.7/100
= $3,384
Simple interest of a 5 years loan= 12000×3×8.4/100
= $ 18,144
Therefore, the loan option that will allow the customer to pay the least amount of interest is 4-year loan with a 5.2% annual simple interest rate.
Learn more about simple interest here:
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What’s the answer mines not correct
Answers
Answer:
v=72 in3
sa=104 in2
Step-by-step explanation:
hope this helps!
A rectangle has a length of 5.5 units and a width of 6 units.
What is the area of the rectangle?
Answers
Answer:
A =33 units^2
Step-by-step explanation:
The area of a rectangle is found by
A = l*w where l is the length and w is the width
A = 5.5* 6
A =33 units^2
13. Two utility companies sell electricity in units of kilowatt-hours. The cost of electricity for
company P is shown in the table. The cost of electricity for company M can be found by using
the
equation shown, where y represents the total cost in dollars for x kilowatt-hours of
electricity
Electricity Costs
Company P
Company M
Number of Total Cost
y = 0.15x
Kilowatt-hours (dollars)
1,250
150.00
1,650 198.00
Answers
Answer:
No question is asked, but Company P is less expensive than company M.
Step-by-step explanation:
See attached image.
can you please help me!!
Answers
Answer: every 3 feet is a yard
Step-by-step explanation: so the empty boxes top row are going to be ( 3 6 9 21 (yes it 21)
the middle row is going to be ( 1 2 )
the bottom is going to be ( 36 108 72 252 )
Andrew is choosing between four loans. Loan P has a nominal rate of 10. 393%, compounded daily. Loan Q has a nominal rate of 10. 516%, compounded weekly. Loan R has a nominal rate of 10. 676%, compounded monthly. Loan S has a nominal rate of 10. 755%, compounded annually. Which loan will give Andrew the best effective interest rate? a. Loan P b. Loan Q c. Loan R d. Loan S Please select the best answer from the choices provided A B C D.
Answers
Answer:
It is D
Step-by-step explanation:
Find the area of each circle to the nearest tenth.Use 3.14
Answers
Answer:
153.86
Step-by-step explanation:
Area = Pi*R^2
Or
3.14xRadiusx Radius= Area
so 3.14*7*7=153.86
If this helps can I get Brainliest pls.
What is the y-value of the vertex of the function f(x)=−(x 8)(x−14)? 3 6 112 121.
Answers
The y-value of the vertex of the function is 121.
Given
The function is;
[tex]\rm f(x)=-(x +8)(x-14)[/tex]
The vertex of the parabolaThe vertex of the parabola of a quadratic function is given by;
[tex]\rm \text{The vertex of the parabola}= \dfrac{-b}{2a}[/tex]
Expand the function then solve;
[tex]\rm f(x)=-(x +8)(x-14)\\\\f(x)=-(x(x-14)+8(x-14))\\\\f(x)=-(x^2-14x+8x-112)\\\\f(x)= -x^2+6x+112[/tex]
The y-value of the vertex of the function is;
[tex]\rm \text{The vertex of the parabola}= \dfrac{-b}{2a}\\\\\rm \text{The vertex of the parabola}= \dfrac{-6}{2\times -1}\\\\\rm \text{The vertex of the parabola}= 3[/tex]
Substitute x = 3 into f(x) for corresponding value of y
f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121
Hence, the y-value of the vertex of the function is 121.
To know more about the vertex of the parabola click the link given below.
https://brainly.com/question/595002
An image of tree diagram representing the possible overall outcomes over two consecutive nights is below. list the outcomes where exactly one card game is played over two days
A bc,cb
B bc,cc
C bb,bc
D cb,cc
Answers
A rectangle has a perimeter of 48 ft. The length and width are scaled by a factor 1.5.
What is the perimeter of the resulting rectangle?
Answers
Answer:96+ a factor of 3
Step-by-step explanation:
48+48=96
1.5+1.5=3
Calculate the probability of randomly selecting a vehicle with an engine size greater than 3. 9 L.
Answers
The probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L
Probability of choosing an engine sizeAn engine size greater than 3.9 L
Generally, This can be defined as the possibility of an event occurring with respect to other possible outcomes.
Probability looks at calculating the possibility of a given event's occurrence.
To determine the possibility of selecting an engine size greater than 3.9 L, we consider factors than decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L
Hence, the probability we consider factors that decide what engine is chosen and the odds of choosing an engine size greater than 3.9 L
For more information on probability
brainly.com/question/795909
what is 3x10)+(3456/3629) + (2341x123) + (123 infinity x 90) i will give branliest
Answers
Answer:
∞
Step-by-step explanation:
I assume you meant 3×10 + 3456/3629 + 2341×123 + 123 ∞×90 and x is multiplication and not a variable.
If triangle ABC was reflected over the y-axis, what would be the coordinates of B’?
A) (4, 3)
B) (-3, -4)
C) (-4, -3)
D) (3, 4)
Answers
B’ is three units to the right of the y- axis, and four units above the X-axis.
Monomials. PLEASE HELP!!!!!!
find the sum of -2pq^7 and -pq^7
Answers
SOLUTION:
=) -2pq^7 + (-pq^7)
=) -2pq^7 -pq^7
=) -3pq^7
Answer:
[tex]-3pq^7[/tex]
Step-by-step explanation:
[tex]-2pq^7+-1pq^7[/tex]
[tex]-3pq^7[/tex]
Hope this helps!
Triangle ABC has perimeter 22 cm.
AB = 8 cm
BC = 5 cm
By calculation, deduce whether triangle ABC is a right-angled triangle.
Answers
Answer:
No, its not a right angle triangle. check for explanation below ↓
In order to figure whether ABC is a right-angled triangle.
First find the missing side:
22 - 8 - 5
9 cm
so the sides are 5 cm, 8 cm, 9 cm
using the rule:
short side² + short side² = biggest side²
5² + 8² = 9²
25 + 64 = 81
89 = 81
Thus found ABC is not a right-angled triangle.
[tex]AC = 22 - (8+5) = 22 - 13 = 9[/tex]
[tex]9^2 + 13^2 = 81 +169 = 250[/tex]
[tex]22^2 = 484[/tex]
So no, ABC is NOT a right triangle because the pythagorean thoerem fails
Use the image below to find the angles assuming is parallel to F.
81
W
E
Q
F
C
P
Find all angles congruent to ZGPC.
The angles congruent to Z GPC are (select)
Answers
A superhero has been called to rescue the planet from destruction. He leaves from a point on the equator and flies along the equator at 60,000 m/min. At the same time his partner flies from thee same location in the opposite direction at 4415 km/h. Please explain why
Answers
The superhero moves at 3600 km/h and his partner at 4415 km/h. The earth is round, so both him and his partner can get to the same location even travelling at opposite directions.
What is speed?Speed is the ratio of distance travelled to the total time taken, it is given by:
Speed = distance / time
The superhero flies at 60000 m/min = (60000m * 1 km per 1000 m) / (1 min * 1 hr per 60 min) = 3600 km/h
The earth is round, so both him and his partner can get to the same location even travelling at opposite directions.
Find out more on speed at: https://brainly.com/question/4931057
Use given triangle to fill in the blank.
PLEASE HELP ME!!!!!!!!!
Answers
Answer:
12/13
Step-by-step explanation:
cos Y = adjacent side/ hypotenuse
Tickets to a football match cost €8, €15 or €20 each. The number of €15 tickets sold was double the number of €8 tickets sold. 6000 more €20 tickets were sold than €15 tickets. If the gate receipts totaled €783 000, how many of each type of ticket were sold?
Answers
Answer:
8 -9788.8
15-273+4+484
Am I an artificial intelligence? Because I kind of feel like one.
Answers
Answer:
yes
Step-by-step explanation:
:)
Answer:
Yes
Step-by-step explanation:
since you have brainly and you are very smart and keep up the work
During a sale, a store offered a 15% discount on a TV that originally sold for $370. After the sale, the discounted price of the TV was marked up by 15%. What was the price of the TV after the markup?
Answers
Answer:
$361.675 dollars
Step-by-step explanation:
Multiply by .85 then take new number multiply by 1.15
A scientist poured 2/3 of a liter of water into a cup and 3/10 of a liter of water into a jar. Which comparisons are true about the amounts of water the scientist poured?
Answers
Answer:
Step-by-step explanation:
The cup has 33.(66)% more liters than the jar.
The cup has more water than the jar.
The cup has 11/30 more liters of water than the jar.
Stan had a personal best one mile run time
of 6 minutes and 35 seconds. After his last
run, his new personal best is 6 minutes and 20
seconds.
Answers
The time difference computed from the personal best given shows that Stan was 15 seconds faster.
How to calculate time?From the information given, Stan had a personal best one mile run time of 6 minutes and 35 seconds. After his last run, his new personal best is 6 minutes and 20 seconds.
Therefore, the difference in time till be:
= 6.35 - 6.20
= 15 seconds.
Therefore, Stan was 15 seconds faster.
Learn more about time on:
https://brainly.com/question/4931057
