Answer:
Solution,
First term (a) = 25
Common difference (d) = Second term - first term = 20 - 25 = -5
Now,
nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n
The nth term of the series is 30 - 5n
Answer:
The nth term will be:
[tex]a_n=-5n+30[/tex]
Step-by-step explanation:
Given the sequence
25, 20, 15, 10, 5
An Arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Computing the common difference of all the adjacent terms
[tex]25,\:20,\:15,\:10,\:5[/tex]
[tex]20-25=-5,\:\quad \:15-20=-5,\:\quad \:10-15=-5,\:\quad \:5-10=-5[/tex]
As the difference between all the adjacent terms is the same and equal to
[tex]d=-5[/tex]
Also, the first term is:
[tex]a_1=25[/tex]
Hence, the nth term will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=-5\left(n-1\right)+25[/tex] ∵ [tex]a_1=25[/tex], [tex]d=-5[/tex]
[tex]a_n=-5n+30[/tex]
Therefore, the nth term will be:
[tex]a_n=-5n+30[/tex]
i think of a number x double it add eleven i get 25
Answer:
x=7
Step-by-step explanation:
I have no idea what I'm doing
Which probability model would you use to describe the number of damaged printers in a random sample of 4 printers taken from a shipment of 28 printers that contains 3 damaged printers?A) HypergeometricB) BinomialC) UniformD) Poisson
Answer:
The answer is "Option A".
Step-by-step explanation:
The probability function is
[tex]\to P(X) = K_{{C}_{k}} \times \frac{N-K_{{C}_{n-k}}}{N_{C}_{n}}[/tex]
The population size (N)= 28
The number of success in population(K) = 3
The number of draws (n)= 4
Determine the slope and y-intercept of the line.
y = -69x - 346
a.
Slope = -346, y-intercept is (0, -69)
c.
Slope = -69, y-intercept is (0, -346)
b.
Slope = 69, y-intercept is (0, -346)
d.
Slope = -346, y-intercept is (0, 69)
Answer:
Slope = -69, y-intercept is (0, -346)
Step-by-step explanation:
y=-69x-346
x=0
y= -69(0)-346
y=0-346
y=0
sople -69 coefficient of x
Answer:
c
Step-by-step explanation:
Could someone help me out?
Answer:
15
Step-by-step explanation:
Answer:
The value of x is 28cm.
Step-by-step explanation:
Area of a trapezium = ½h(a + b)
240 = ½×12×(12 + x)
240 = 6(12 + x)
240 = 72 + 6 x
240 - 72 = 6x
168 = 6x
168/6 = x
28 = x
find two number closest to 5000 that are divisible by 36,21,and 12
Given that lines P & R are parallel, find the values of x and y.
Answer: Y = 17 and X = 43
Step-by-step explanation:
p and r are parallel meaning both angles are the same.
So
3y = 51
divide them by 3
y = 17
Now we take 51 from 180 and we get 129
129 divided by 3x is
x = 43
a dragon can fly 80 miles in 2 hours. an alien can fly 58 miles in 4 hours.
how far can a dragon fly in 11 hour. and how far can the alien fly in 1 hour.
Answer:
an alien can fly 14.5 miles in 1 hour and a dragon can fly 440 miles in 11 hours
Step-by-step explanation:
Find the time required for an investment of 5000 dollars to grow to 8300 dollars at an interest rate of 7.5
percent per year, compounded quarterly.
Your answer is t =
years.
You may enter the exact value or round to 2 decimal places.
Answer:
1.60 (rounded)
Step-by-step explanation:
I haven't done this in a while but you'd use the compound interest formula a=p(1+r)^n where a=8300 p=5000 r=0.075 and solve for n
X^3 = 1000 for math please help
Answer:
x=10
Step-by-step explanation:
since there are 3 zeroes in 1,000
x is 10
because 10^3=1000
Answer:
10
Step-by-step explanation:
How do I find the lcm of a number .
Can you please explain to me
5.
4. 3(4x - 5) < 8x + 3
Answer:
12x -15 < 8x + 3
+15 +15
12x < 8x + 18
-8 -8
4x < 18
x < 4.5
A DJ charges a setup fee plus an hourly fee to provide music for a dance party. Which equation best represents the amount spent, y, on x hours of music. *
13 points
Captionless Image
y = 0.5x
y = 0.5x + 100
y = 25x + 100
y = 100x + 25
Answer:
Its c i did it for quizzez and also because the graph goes up 25 every hour
Step-by-step explanation:
The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A DJ charges a setup fee plus an hourly fee to provide music for a dance party.
We know that the amount per hour is generally one-fourth of the number of setup feet. Let 'x' be the number of hours and 'y' be the total amount. Then the equation is given as,
y = 25x + 100
The equation best represents the amount spent will be y = 25x + 100. Then the right choice is C.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ6
In a certain company a salesman is paid a fixed salary for $3140 per month plus an annual commision of 2% on the TOTAL value of cars sold for the year. If the salesman sold cars valued at $720000 in 2009 calculate:
(i) his fixed salary for the year
(ii) the amount he recieved in commision for the year
(iii) his TOTAL income for the year
Step-by-step explanation:
(i) 12 months × fixed salary
= 12 × 3140
= 37680 $
(ii) commission = total × 2%
= 720000 × 0.02
= 14400 $
(iii) fixed salary + commission
= 37680 + 14400 = 52080 $
Which is the better buy?
2-quart carton of pineapple juice for $2.00
7-cup carton of pineapple juice for $3.01
Answer:
7-cup carton of pineapple juice for $3.01
Step-by-step explanation:
2-quart carton of pineapple juice for $2.00
2.00 : 2 = 1.00
check your work: 1.00 x 2 = 2.00
so for the first offer you will be paying $1.00 per quart
7-cup carton of pineapple juice for $3.01
1 cups = 0.25 quarts
7 cups = 1.75 quarts
3.01 : 7 = 0.43
check your work: 0.43 x 7 = 3.01
for the second offer you will be paying $0.43 per quart of juice. 7-cup carton of pineapple juice for $3.01 is a better buy because you will be paying less than half of the price for each quart than the first offer.
hope this helps!
Marvin rides his bike at an average speed of 13 miles per hour. How far can he bike in 8 hours?
Answer:
104 miles
Step-by-step explanation:
13 miles * 8 hours = 104 miles
Answer:
104 miles
Step-by-step explanation:
/
Which statement is false?
A.
by SSS
B.
by SAS
C.
by SAS
D.
Answer:
sorry, i haven't understood your question!! how can i tell which statement is false.
What is the measure of
Answer: w= 155
Step-by-step explanation:
-x + 2y = 21
5x + 6y = 23
Answer:
(-5, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equation by graphingStep-by-step explanation:
Step 1: Define systems
-x + 2y = 21
5x + 6y = 23
Step 2: Rewrite systems
-x + 2y = 21
Subtract 2y on both sides: -x = 21 - 2yDivide -1 on both sides: x = -21 + 2yRearrange: x = 2y - 21Step 3: Redefine systems
x = 2y - 21
5x + 6y = 23
Step 4: Solve for y
Substitution
Substitute in x: 5(2y - 21) + 6y = 23Distribute 5: 10y - 105 + 6y = 23Combine like terms: 16y - 105 = 23Add 105 on both sides: 16y = 128Divide 16 on both sides: y = 8Step 5: Solve for x
Define original equation: 5x + 6y = 23Substitute in y: 5x + 6(8) = 23Multiply: 5x + 48 = 23Subtract 48 on both sides: 5x = -25Divide 5 on both sides: x = -5Step 6: Graph systems
Check the solution set.
How much interest will $2,000 earn at an annual rate of 8% in one year if the interest is compound every half a year?
Answer:
the yearly interest would be 160.00
Step-by-step explanation:
Answer:
160
Step-by-step explanation:
In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.
Answer:
5:6
Step-by-step explanation:
the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped
Angle A measures 4x + 40 degrees and angle B measures x – 10
degrees. If angles A and B are complementary, what is the
measure of angle B?
Answer:
2°
Step-by-step explanation:
Since, angles A and B are complementary.
Therefore,
[tex] m\angle A + m\angle B = 90\degree \\\\
(4x +40)\degree + (x-10)\degree = 90\degree \\\\
(4x+x +40-10)\degree = 90\degree \\\\
(5x +30)\degree = 90\degree \\\\
5x + 30= 90\\\\
5x = 90 - 30\\\\
5x = 60\\\\
x = \frac{60}{5}\\\\
x = 12\\\\
m\angle B = (x-10)\degree \\\\
m\angle B = (112-10)\degree \\\\
m\angle B = 2\degree \\\\[/tex]
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.09 reproductions per hour. Assuming that the mean is 6.6 reproductions and the variance is known to be 4.84, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
Answer:
The minimum sample size is [tex]n = 2295 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.09[/tex]
The sample mean is [tex]\= x = 6.6[/tex]
The variance is [tex]\sigma^2 = 4.84[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma^2}[/tex]
=> [tex]\sigma = \sqrt{4.84 }[/tex]
=> [tex]\sigma = 2.2[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.96 * 2.2 }{0.09} ] ^2[/tex]
=> [tex]n = 2295 [/tex]
What is the correlation coefficient r for the data set?
Enter your answer to the nearest hundredth in the box.
r=
x y
25 240
26 242
27 230
28 229
28 220
28 219
29 200
30 202
31 184
32 180
I think its -0.95 but im not sure. please explain
Answer:
c
Step-by-step explanation:
Plz I need this ASAP
Answer:
12
Step-by-step explanation:
1/3( 4×3)+8
1/3(12)+8
4+8
12
Answer:
b
Step-by-step explanation:
The scatterplot shows the number of weekly hours that swimmers spend at an indoor pool and the average weekly outdoor temperature. A graph titled Hours at Pool has Outside Temperature (degrees Fahrenheit) on the x-axis and Number of Hours at Pool on the y-axis. Point (90, 2) is outside of the cluster. Which data value would cause the interpretation of the data set to be understated? (20, 1) (55, 6) (90, 2) (95, 8)
Answer:
I THINK IT'S C!!!
Step-by-step explanation:
EDGE 2020
The answer is C, or (90,2)
What is the lcm of 84,102 and 100
Step-by-step explanation:
[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]
[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]
[tex]\sf {3|{\underline{21,17,25}}}[/tex]
[tex]\sf {5|{\underline{7,17,25}}}[/tex]
[tex]\sf {\:\:{7,17,5}}[/tex]
LCM=2×2×3×5×7×17=7120i really need help and fast
Answer:
D. 51, 53, 55, 58, 60
Step-by-step explanation:
Pardon the messiness!
Answer gets the crown
What does an algorithm have to do with processing?
Algorithms are a series of steps
Algorithms have nothing to do with processing
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from input to an output.
Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from output to input.
A biologist estimates that 40% of the deer in a region carry a certain type of tick. For a sample of 300 deer selected at random, what is the probability that fewer than 124 deer have this tick?
Answer:
0.703
Step-by-step explanation:
By inspection this is a binomial probability distribution problem.
We are given;
Probability that the deer in a region carries a certain type of tick; p = 40% = 0.4
Sample size; n = 300
Now we want to find the probability that fewer than 124 deer have this tick.
Thus is at P(x ≤ 124)
Formula for binomial distribution problem is;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
But now in this question,
P(x ≤ 124) = P(0) + P(1) + P(2) +.... P(124)
Getting all the Probabilities from P(0) to P(124) is too long we will make use of an online binomial probability distribution calculator with the result attached as an image.
In the calculator we input n = 300; p = 0.4; and P(X ≤ x)
We have a value of 0.703