Answer:
The nth term is 27 - 30(n-1) or can be simplified to 57 - 30n.
Step-by-step explanation:
This is an arithmetic sequence (ie. each term equals the previous term with a constant value added (or subtracted from it)
T1 = 27
T2 = -3 = T1 - 30 = 27 - 30
T3 = -33 = T2 -30 = 27 -30 - 30=27-30X(2)
T4= -63 = T3 - 30 =27-30X(2)-30=27-30X(3)
In general, the nth term of this sequence:
S(n) = 27 - 30X(n-1)
From a bag containing 6 white balls, 3 black balls and 13 red balls, two balls are drawn at random. What is the probability that they are both red without replacement?
a) 26/77
b) 9/10
c) 1/2
d)5/77
Answer:
Probability [Both ball red without replacement] = 26 / 77
Step-by-step explanation:
Given:
Number of white ball in beg = 6 balls
Number of black ball in beg = 3 balls
Number of red ball in beg = 13 balls
Find:
Probability [Both ball red without replacement]
Computation:
Probability of first red ball = Number of red ball in beg / [Total balls in beg]
Probability of first red ball = 13 / [6 + 3 + 13]
Probability of first red ball = 13 / 22
Probability of Second red ball = Number of remaining red ball in beg / [Total balls in beg without replacement]
Probability of Second red ball = [13 - 1] / [6 + 3 + 12]
Probability of Second red ball = 12 / 21
Probability [Both ball red without replacement] = [Probability of first red ball][Probability of Second red ball]
Probability [Both ball red without replacement] = [13/22][12/21]
Probability [Both ball red without replacement] = 26 / 77
. A section of rope 5 inches long represents 20% of the length of the entire rope. How long is the rope?
Answer:
full length = 25 in.
Step-by-step explanation: .
20% is 1/5 of 100% so in order to find 100% of the length, multiply 5in (20%) by 5 to get to the 100% which will give you 25in.
Plsss help!!!!!!!!!!!
PLEASE HELP I DONT KNOW
Answer:
the answer is d circumference
what is the area of this figure?
Answer:
4 ssquare units
Step-by-step explanation:
The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm. Suppose that 12 individuals are randomly chosen. Round all answers to 4 where possible. What is the distribution of ¯ x
Answer:
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.
This means that [tex]\mu = 187, \sigma = 7.1[/tex]
Suppose that 12 individuals are randomly chosen.
This means that [tex]n = 12, s = \frac{7.1}{\sqrt{12}} = 2.05[/tex]
What is the distribution of ¯ x?
By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.
Angles of Triangles Scavenger Hunt Answer Key
what is the measure of m
9514 1404 393
Answer:
m = 8
n = 4√3
Step-by-step explanation:
The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.
(12+4)/m = m/4
64 = m² . . . . multiply by 4m
8 = m . . . . . . square root
__
Likewise, the ratio of long side to short side is the same.
12/n = n/4
48 = n² . . . . . . multiply by 4n
4√3 = n . . . . . take the square root
_____
Additional comment
You may have noticed that the ratios of side lengths are ...
4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle
This means the unmarked side is 8√3.
__
We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.
PLS I NEED HELP FAST
Find the surface area of the cone.
Answer:
373.8
Step-by-step explanation:
35 points
(algebra one)
describe and correct the error in comparing the graphs
I need this please help me
Answer:
C. Reflection over x- axis, down 6 right 3
Step-by-step explanation:
For its standard checking account northwest bank charges a fee of 2.50 plus 0.10 per check the Function use to determine total monthly charges is C=2.50+0.10n where C = monthly charges and n= to number of charges If a customer writes 24 check during a month How much would he customer Be charged
Factor this trinomial. Your answer should consist of two binomials.
n^2-11n +28
Answer:
(n-4)(n-7)
Step-by-step explanation:
hopefully that helps
Cube X has Edge 1 in. tube why has an edge 4in longer than Cube X. which of the following describes the relationship between the cubes?
a. the volume of cube why is 125 times the volume of cube X
b. the volume of cube why is 25 times the volume of Cube X
c. the volume of cube x is 1/4 the volume of Cube Y
d. the volume of cube x is 1/5 the volume of Cube Y
9514 1404 393
Answer:
a. the volume of cube y is 125 times the volume of cube x
Step-by-step explanation:
The volume of cube x is ...
V = s³ = (1 in)³ = 1 in³
The volume of cube y is ...
V = (1 in + 4 in)³ = (5 in)³ = 125 in³
The volume of cube y is 125 times the volume of cube x.
plzzzzzzzz help for a brainly
Answer:
35
Step-by-step explanation:
the answer is 35 because a straight line is 170° and 135+35 is 170
Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?
Answer:
Step-by-step explanation:
what is the answer for this one?
2x + 3 = 9. x
Answer:
3/7
Step-by-step explanation:
You want to seperate the numbers from the variable.
How many tenths are in 8.32?
Answer:
3 tenths
Step-by-step explanation:
What function is represented ?
A quartic function
An exponential function
A cubic function
A quadratic function
A linear function
Answer:
A cubic function
Step-by-step explanation:
I graphed it and connected the lines on desmos then compared to the types of calculus graphs on the search engine.
Two fair 6-sided dice are rolled one at a time. Find the probability that
the first die lands on a value greater than 4 and the second die lands
on 2.
Answer:
Step-by-step explanation:
How many students scored below 80?
11
19
cannot be determined from the histogram
9
Answer:
11
Step-by-step explanation:
the difference of x and y is the same as 3 times the sum of x and 2
Answer:
x - y = 3(x + 2)
x - y = 3x + 6 is the simplified answer and is also correctStep-by-step explanation:
The difference of x and y is the same as 3 times the sum of x and 2
x - y = 3(x + 2)
x - y = 3x + 6
Help me I’ll make you expert !
Show all 4 steps of the following:
x - 3/5= 1/6
Answer: x=23/30
Step-by-step explanation: Hope this help :D
write an integer addition expression that equals -4
Answer:
-6 + 2 = -4
Step-by-step explanation:
-6 + 2 = -4
Find the missing side
Answer:
Step-by-step explanation:
c^2 = a^2 - b^2
13^2 - 5^2 = -12
Answer:
Step-by-step explanation:
Which of the following expressions can be set
equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74
Given:
The expression is:
[tex]2.74x-7.9[/tex]
To find:
The expressions that can be set equal to the given expression to form an equation that has no solution.
Solution:
We have,
[tex]2.74x-7.9[/tex] ...(i)
An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.
The expression with same variable term and different constant term is:
[tex]2.74x+7.9[/tex] ...(ii)
Because on equating (i) and (ii), we get
[tex]2.74x-7.9=2.74x+7.9[/tex]
[tex]-7.9=7.9[/tex]
This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.
Therefore, the correct option is C.
QUICK PLEASE HELP!!
I WILL MARK BRAINLIEST!!!
plz plz plz plz help me
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
Three numbers are in the ratio 5 :3 : 2. If the sum of their squares is 5472, find the three numbers
Answer:
60 36 24
Step-by-step explanation:
5 3 2
25x +9x + 4x = 5472
38x = 5472
x = 144
25(144) = 3,600 9(144) = 1,296 4(144) = 576
60² = 3,600 36²= 1,296 24² = 576
3,600 + 1,296+576 = 5,472