9514 1404 393
Answer:
A. d = ∑[k=1,n] (4.5+0.5k)
B. 9
Step-by-step explanation:
A) The series has first term 5 and common difference 0.5. The general term is given by ...
an = a1 +d(n -1)
an = 5 + 0.5(n -1) . . . . substitute numbers for this series
an = 4.5 +0.5n . . . . . . simplify
The sum is the sum of these terms:
[tex]\displaystyle \boxed{d_n=\sum_{k=1}^n(4.5+0.5k)}[/tex]
__
B) The sum of terms of an arithmetic series is the average of the first and last, multiplied by the number of terms. We want to solve for n to make the sum greater than 60.
[tex]\displaystyle d_n=\frac{n}{2}(5 +4.5 +0.5n)\\\\\dfrac{n}{2}(9.5+0.5n)>60\\\\n(19+n)>240\qquad\text{multiply by 4}\\\\n^2+19n+9.5^2>240+9.5^2\qquad\text{complete the square}\\\\n+9.5>\sqrt{330.25}\qquad\text{square root}\\\\n>18.17-9.5=8.67\qquad\text{positive root, subtract 9.5}[/tex]
Melissa's total distance will first exceed 60 miles the 9th time she trains.
Answer:
A. d = ∑[k=1,n] (4.5+0.5k)
B. 9
Step-by-step explanation:
A) The series has first term 5 and common difference 0.5. The general term is given by ...
an = a1 +d(n -1)
an = 5 + 0.5(n -1) . . . . substitute numbers for this series
an = 4.5 +0.5n . . . . . . simplify
what is the answer to this
Solve for x pleasssee help
Answer:
x=8
Step-by-step explanation:
13=x+5
8=x
Answer:
x = 8
Step-by-step explanation:
Okay, so the top and bottom of a parallelogram are equal (or else it would be a trapezoid), so we just have to construct our cute lil algebraic expression:
x + 5 = 13
So now we have to do the inverse operations thingy:
13 - 5 = 8
So x = 8
tell me if this is wrong so I can fix it
hope this helps:)
Find the volume of this shape.
Answer:
240 ml
Step-by-step explanation:
more calculations
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
Answer:
6:5
Step-by-step explanation:
Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
The algae is spherical in nature
Volume of the algae =4/3 pi r³
Volume of the algae = 4/3×pi×2.5³
Volume of the algae = 62.5/3 pi
Surface area = 4pi r²
Surface area = 4pi ×2.5²
Surface area = 25pi
Taking their ratio
surface area : volume ratio
= 25pi:62.5/3 pi
= 25 × 3/62.5
= 1.2
Hence the required ratio is 12/10 which is 6:5
What is the length of each side ???
Answer:
The answer is 10 foot
Step-by-step explanation:
A square has 4 sides, so technically 40/4 will give you the answer, which is 10.
The bakery packages 8 of the chocolate spheres into a box .If the density of the chocolate is 1.308 g/cm3 ,what is the total mass of the chocolate in the box
Answer:
m=DxV. 1.308x8= 10.464
PLEASE NEED HELP RIGHT NOW
An MP3 player has 60 songs stored on it.
Of the songs, 21 are rock, 9 are rap, 18 are dance, and 12
are country.
If songs are played randomly, find the probability a rock song is played.
Answer:
21/60 (simplified = 7/20)
Step-by-step explanation:
Which figure will be produced by rotating Figure F 90° counterclockwise about the origin
(0,0)?
Answer:
The 3rd option
Step-by-step explanation:
Find the value of x.
Need the answer ASAP please
Answer:
x = 8√3
Step-by-step explanation:
Triangle HIJ is similar to triangle KLM. Find the measure of side LM. Figures are not
drawn to scale.
Answer:
ML = 12.8
Step-by-step explanation:
24/6.4 = 48/ML
24ML = 307.2
ML = 12.8
Which ones are right?
Any links get reported!
Answer:
you did it right
I hope it's helps you
son números racionales,
HELP ME WITH THIS PLZ I DON'T UNDERSTEND IT PLZ HELP PPLLLZZZZZZ PLZ PLZ PLLZ HELP ME PLZ I NEED HELP PLZ HELP MMMEEEEE
Which question is statistical?
A.)What number of feet is equivalent to three miles?
B.)How many miles did your family drive last week?
C.)How many miles are between the library and the post office?
D.)How many miles does each member of the biking club ride each week?
PLEASEEEEEE HEELLLPPP MEEEE!!!!
Answer:
the top one is posable oucomes and the the bottom is the other on
Step-by-step explanation:
Answer:
1 fav
2. possible
Step-by-step explanation:
Kat is interested in getting chickens so she can have fresh eggs. Before she buys her chickens, she wants to find the mean number of eggs each one will lay. She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month. She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs. Which of the following is the 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay in one month?
Find the t-table here.
(21.85, 27.75)
(22.59, 27.01)
(22.96, 26.64)
(23.38, 26.22)
Answer:
C
Step-by-step explanation:
Took it
The confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64). Then the correct option is C.
What is the confidence interval of the sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
Let the sample mean given as μ and
The sample standard deviation σ, and
The sample size = n, and
Then the heights would be outside the 90% confidence interval will be
For 90% confidence interval, we have z = 1.645
⇒ μ ± z (σ/√n)
Kat is interested in getting chickens, so she can have fresh eggs.
Before she buys her chickens, she wants to find the mean number of eggs each one will lay.
She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month.
She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs.
The 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay in one month will be
⇒ μ ± z (σ/√n)
⇒ 24.8 ± 1.645 (6.9/√40)
⇒ 24.8 ± 1.84
Then the confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64).
Then the correct option is C.
Learn more about confidence interval of sample here:
https://brainly.com/question/23008823
#SPJ2
A circle has a circumference whose length is 25(pi). Find the length of an arc whose central angle is 120.
9514 1404 393
Answer:
(25/3)π
Step-by-step explanation:
A central angle of 120° is 1/3 of a circle, so the arc length will be 1/3 of the circumference:
(1/3)(25π) = (25/3)π ≈ 26.18 . . . . units
Answer:
Solution :-Circumference = 25π
Total angle made by circle = 360
Now,
120 is ⅓ of 360⁰.
⅓ × 25π = 25π/3
Hence,
Length of arc = 25π/3
[tex] \\ [/tex]
What is the area of the shaded region?
Answer:
12
Step-by-step explanation:
sezxdrcf123456u7tyi7ouy09jiostxdfcghv tghvbyughjgbyugb7nyughb7nyujgkhnuyhkgjhbynuhjgkbynuhijgbyunhjgbyunhgbyuhjg
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
Answer:
x ≤ 1/3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
distribute the 5, combine the x, add 10 to -8 to get 2 and finally 6x < 2A football field measures 300 feet in length. It can also be expressed as approximately
5.7 x 10^n .
If there are 5,280 feet in 1 mile , which is the most reasonable value of n.
Answer: n=-2
Step-by-step explanation:
Given
The length of the football field is [tex]300\ ft[/tex]
In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]
Also, [tex]5280\ ft=1\ mile[/tex] or
[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]
converting [tex]300\ ft[/tex] to miles
[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]
Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]
we get [tex]n=-2[/tex]
Please help, It feels like I know it but It won’t come to my brain
Answer:
D. m= x + 0.75
Step-by-step explanation:
Andrew is adding books to the backpack that already weighs 0.75 kg.
BRAINLIEST! Algebra 2 4 questions with pictures.
Answer:
1. y=2x-2
Because the slope is 2 over 1. and the y-intercept is at -2.
2. I think is y=1/5x-2
please i need this asap, look at the graph to the right. What is the equation for the line (in y=mx+b form)?
Answer:
The Answer is: y = - 2x + 8.
the y-intersept is 8, and the slope is -2x
Identify the coordinates of triangle ABC when it is dilated by a scale factor of 2 from the origin (0,0).
Answer:
[tex]A' = (-4,4)[/tex]
[tex]B' = (2,6)[/tex]
[tex]C' = (2,0)[/tex]
Step-by-step explanation:
Given [Missing from the question]
[tex]A = (-2,2)[/tex]
[tex]B= (1,3)[/tex]
[tex]C= (1,0)[/tex]
[tex]k = 2[/tex] --- scale factor
Required
The new coordinates
The new coordinate is calculated by:
[tex]New = Old * k[/tex]
So, we have:
[tex]A' = A * 2[/tex]
[tex]A' = (-2,2) * 2[/tex]
[tex]A' = (-4,4)[/tex]
[tex]B' = B * 2[/tex]
[tex]B' = (1,3) * 2[/tex]
[tex]B' = (2,6)[/tex]
[tex]C' = C * 2[/tex]
[tex]C' = (1,0) * 2[/tex]
[tex]C' = (2,0)[/tex]
A researcher is 95% confident that the interval from 3.6 hours to 8.1 hours captures μ = the true mean amount of daily screen time for US adults.
Is there evidence that the true mean number of hours of screen time for US adults is greater than 3.5?
No. There is not evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
No. There is not evidence that the population mean is greater than 3.5, because there are values within the 95% confidence interval other than 3.5.
Yes, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.
Answer:
d) Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.
Step-by-step explanation:
edge 2020
The evidence that the true mean number of hours of screen time for US adults is greater than 3.5 is there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
What is the confidence interval?It is an estimate of an interval used in statistics, which contains a population parameter. This unknown population parameter is found through a sample model calculated from the collected data.
The confidence level index is directly linked to the margin of error. In that case, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
See more about confidence interval at brainly.com/question/24131141
#SPJ2
Mike is reading a map with a scale of 1 in. = 35 mi. On the map, the
distance Mike must drive is 5.5 in. What is the actual distance he has to
travel?
Answer:
Actual distance represented by 5.5 inch of map distance is
[tex]192.5[/tex] miles
Step-by-step explanation:
Given,
The scale of map -
1 inch on map is equal to 35 miles.
Distance measured by mike on map is equal to 5.5 inch
Actual distance represented by 5.5 inch of map distance is
[tex]= 5.5 * 35 = 192.5[/tex] miles
HELP!! I will give 30 poins and brainliest to the one who gives me the right answer FIRST!!
Answer:
What is the question
Step-by-step explanation:
Answer:
What the question?
Step-by-step explanation:
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?
Answer:
x = -56
Step-by-step explanation:
0.75(x + 20) = 2 + 0.5(x - 2)
0.75x + 15 = 2 + 0.5x - 1
0.25x = -14
x = -14/0.25
x = -56
Just got this don’t know how to do btw it’s due tomorrow
Answer:
2 and 4 answers
Step-by-step explanation:
[tex]\frac{xy}{xv} = \frac{yz}{vw} = \frac{zx}{wx}[/tex]
so the second is correct and forth is correct too
ACELLUS HELL ASAP
Find the probability that the pitcher will
throw 4 or fewer pitches to a batter.
4/5 or 0.8 or 80%
hope you have an amazing day <3
The probability that the pitcher will throw 4 or fewer pitches to a batter is 0.9.
What is Probability ?The way to find the likeliness of an event is called Probability.
It is given that
Pitcher is throwing ball
The probability that he throws 4 or fewer pitches to a batter is = ?
The no. of favourable outcomes for the given condition is
P(X ≤4 ) = P(X=1) + P(X =2) + P(X=3)+P(X=4)
Total Outcomes = 15+20+40+15+20
Total outcomes = 100
Favourable outcomes = 15+20+40+15
Favourable Outcomes = 90
Probability = Favourable Outcomes / Total Outcomes \
Probability = 90/100 = 0.9
Therefore the probability that the pitcher will throw 4 or fewer pitches to a batter is 0.9.
To know more about Probability
https://brainly.com/question/11234923
#SPJ2
4,12,20 find the 41st term
Answer:
The 41st term of the given series is 324
Step-by-step explanation:
a= 4
a2= 12
d= a2-a
d= 12-4 = 8
now, we have to find 41 term that is a41
a41 = a+ 40d
a41= 4+ 40× 8
a41= 4+ 320
= 324
therefore the 41st term is 324
Answer:
324
Step-by-step explanation:
The sequence observed appears to be an arithmetic sequence. The formula for an arithmetic sequence is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term position, and d is the common difference. Let's write down what we know.
n = 41
a1 = 4
d = 8
So, let's plug our values into the equation and solve.
an = 4 + (41 - 1)8
an = 4 + (40)8
an = 4 + 320
an = 324