Answer:
Step-by-step explanation:
a). Stock price arranged as arithmetic sequence will be,
5, 8, 11, 14
b). Since, explicit formula of an arithmetic sequence is given by,
[tex]a_n=a+(n-1)d[/tex]
Here, [tex]T_n[/tex] = nth term of the sequence
a = first term
n = number of term
d = common difference
From the table attached,
First term of the sequence 'a' = 5
Common difference 'd' = 8 - 5 = 3
Therefore, explicit formula for the given sequence will be,
[tex]a_n=5+3(n-1)[/tex]
[tex]a_n=2+3n[/tex]
c). Slope intercept form of the equation will be,
y = 3x + 2
d). Input out values for the graph of the given equation,
x 0 1 2 3
y 2 5 8 11
By using this data we can graph the line.
In a triangle, the second angle measures twice the first. The measure of the third angle is 24 degrees more than the first. Find the measures of the three angles.
x and y
are supplementary angles. y
measures 142.
What is the measure of x?
Answer:
38°
Step-by-step explanation:
y = 142°
x + y = 180°{ being supplementary angles }
x + 142° = 180°
x = 180° - 142°
x = 38°
Hope it will help :)
1. There are five questions on a multiple-choice test. Each question has four possible
answers. Savanna did not study for the test, randomly picks the answers, and submits
the exam. Find the probability that:
Savanna answers the first question correctly.
b. Savanna answers the first, second, third, fourth, and fifth questions correctly.
Answer:
a. 1/4
b. 1/4 ^ 5 = 1/1024
Complete each calculation using the distributive property.
Problem 3.39) Suppose that 10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition. Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic
Answer:
0.2916 = 29.16% probability that one of them is pre-diabetic
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition, or they do not. Each volunteer in independent of other volunteers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10% of the adult population has blood chemistry parameters consistent with a diagnosis of a pre-diabetic condition.
This means that [tex]p = 0.1[/tex]
Of four volunteer participants in a health screening study, what is the probability that one of them is pre-diabetic
This is P(X = 1) when n = 4. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]
0.2916 = 29.16% probability that one of them is pre-diabetic
I need help please. Thank you! :)
Answer:
12 for the first one and twelve for the second one
Step-by-step explanation:
i think you can divide for the first one and second one if you divide 240÷20 you will get twelve and if you divide 180÷15 you will get 12
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLS SHOW THE WORK!!!!!!!!
Answer:
The answer is (-4/11, -19/11)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation. Hoped this helped!
Brainly, Please?
please help if your good at geometry. find a
Answer:
a = 1.8 to the nearest tenth.
Step-by-step explanation:
Remark
I don't think this case is ambiguous. It has only 1 solution, I think.
Step One
Find the top angle.
All triangles have 180 degrees.
15 + 105 + x = 180
120 + x = 180 Subtract 120 from both sides
x = 180 - 120
x = 60
Step Two: Find a
a/sin(60) = 2/Sin(105) Multiply both sides by sin(60)
a = 2 * Sin(60) / sin(105)
a = 2 * .8660 / 0.9659
a = 1.793
5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answer:
The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest
Answer:
Step-by-step explanation:
Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.
Let n=1.
11¹-6 = 5, so the premise is true for n=1.
Suppose the premise is true when n is an integer greater than 1,
then 11ⁿ-6 is divisible by 5.
11ⁿ⁺¹-6 = 11·11ⁿ - 6
= (10+1)11ⁿ - 6
= (10·11ⁿ) + (1·11ⁿ) - 6
= (10·11ⁿ) + (11ⁿ - 6)
Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.
Proof by induction.
Tell whether I and y are proportional
PLS HELP
Answer:
This is not proportional. In order for it to be proportional the number from dividing y/x must be the same all the way through. Example:18/2=9 20/4=5
The answers are not the same, therefore x and y are not proportional. Hope this helped.
Step-by-step explanation:
John's ordinary step covers 18 inches. How many steps does he take in walking 10 yards?
Answer:
John takes 20 steps in 10 yards.
Step-by-step explanation:
1 yard = 36 inches
10 yards = 36 x 10 = 360 inches
Since John's step covers 18 inches, divide 360 by 18.
360/18 = 20 steps
For each inequality, decide whether the solution is represented by x < 4.5 or x > 4.5.
-24 > -6(x - 0.5)
Here is a balanced hanger diagram. A circle has a mass of 6 grams and a square has a
mass of 4 grams. What is the mass of the triangle?
Answer:
7
Step-by-step explanation:
find all the real zeros of the function f(x)=3x^4+11x^3-40x^2-132x+48
Answer:
2*square root 3, -2*square root 3, 1/3, -4
Step-by-step explanation:
BELE
What is the slope of the line represented by the equation y = -- 5x?
-5
Nm nm is
Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?
Answer:
Brian
Step-by-step explanation:
just did an ixl
How many minutes does April jump rope in 1 day? 1 week?
Answer:
2 1/3 hours
Step-by-step explanation:
7/1 × 1/3 = 7/3 = 2 1/3 so the answer would be 7/3 or 2 1/3
Equation in point slope form (5,-12);m=-2/3
Answer:
y + 12 = -2/3(x - 5)
A toy made of connecting blocks is in the shape below. Find its total volume.
Answer:
D) 312 cubic yards
Step-by-step explanation:
large box = 9x8x4=288
small box = 2x3x4=24
288+24=312
At $.54 for a dozen oranges, what will 7 1/2 dozen cost?
9 is 15% of what number?
A.24
B.60
C.85
D.135
Answer: B.60
Step-by-step explanation:
9 divided by 15%=60
PLEASE HELP!!!
Greta currently works 45 hours per week and earns a weekly salary of $729. She
will soon be starting a new job where her salary will be increased by 10% and her hours reduced by 10%.
How much more will she be earning per hour at her new job?
Answer:
$7.29 per hour at her new job.
Step-by-step explanation:
Answer:
$3.60
Step-by-step explanation:
Her hourly wage at her old job is 729/45 or $16.20 per hour. If her salary is increased by 10% then her wage weekly is $801.90. If her hours are reduced by 10% then she has to work 40.5 hours per week. This means you have to do 801.90/40.5 to get $19.80 per hour. So according to my math here she will make $3.60 more per hour at her new job. (Double check to make sure I'm correct)
find the slopes of the line
Answer:
1/4
Step-by-step explanation:
PLEASE HELP QUICKK!!
Suppose (-7, -3) is reflected across the x-axis, and then the y-axis. what will be the new coordinates?
Answer:
C (7, -3)
Step-by-step explanation:
Reflecting on x causes the x value to change signs, then again on y changes the y value's sign.
Answer:
B
Step-by-step explanation:
-7 is the x and -3 is the y so flip would be (-7,3)
Find the value of x.
60
3x
O A. 60
B. 10
O C. 20
D. 30
Answer:
the answer is D. 30
Step-by-step explanation:
I got it wright
What is the slope of the line shown in the graph?
A coordinate plane is shown. Points are graphed at −3 comma 2 and −1 comma −1. The points are connected by a line.
factor as the product of 2 binomials x² -10x + 21 =
Answer:
(x - 7) (x - 3)
Step-by-step explanation:
Did u want the actual answer? Cuz if u do I could do that too, jus lemme kno
Answer:
( X - 7) (X-3)
14. What is the value of the missing angle? (1 point)
151
х
75
75-
115
135
O 129°
O 1530
O 1690
0720°
Answer:
75+ po e photo math nyo po sa play store I download nyo po
Step-by-step explanation:
sana po makatulong po
At a bake sale, the soccer team had 50 packs of cookies to sell. At the end of the sale, they had 5 packs left.
What FRACTION of the cookies were sold?
Answer:
45/50= 9/10
Step-by-step explanation:
If 5 packs were left after the sale, then 50-5=45 is the number of packs sold
Then the fraction sold would be the number of packs sold divided by the total number of packs.
45 sold/50 total
Mr. V has 3 3/4 lbs of chocolate chips and he puts 3/4 lb in each batch. How many batches can
he make?
Answer:
5 batches
Step-by-step explanation:
Total chocolate chips = 3 3/4 = 15/4
15/4 ÷ 3/4
15/4 × 4/3
= 5 batches