Answer:
72.9%
Step-by-step explanation:
Given that :
27.1% of all possible observation of a certain variable are less than 17 ;
That is ;
Let variable = y ;
Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271
Proportion that lies to the right :
P(y > 17) = 1 - P(y < 17)
P(y > 17) = 1 - 0.271
P(y > 17) = 0.729 = 72.9%
pls help me with the math test will give the first person who answers brainliest answers and points
write the expression for 100 less than the sum of 3 and x
Answer:
3 + x < 100
3 + x - 3 < 100 - 3
x < 97
Step-by-step explanation:
We want to find the zeros of this polynomial:
p(x) = (2x2 – 9x + 7)(x - 2)
Answer:
Step-by-step explanation: Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p*(x)-((2*x^2-9*x+7)*(x-2))=0
STEP
1
:
Equation at the end of step 1
px - (((2x2 - 9x) + 7) • (x - 2)) = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2x2-9x+7
The first term is, 2x2 its coefficient is 2 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 2 • 7 = 14
Step-2 : Find two factors of 14 whose sum equals the coefficient of the middle term, which is -9 .
-14 + -1 = -15
-7 + -2 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -2
2x2 - 7x - 2x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-7)
Add up the last 2 terms, pulling out common factors :
1 • (2x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (2x-7)
Which is the desired factorization
Equation at the end of step
2
:
px - (2x - 7) • (x - 1) • (x - 2) = 0
STEP
3
:
Equation at the end of step 3
px - 2x3 + 13x2 - 25x + 14 = 0
STEP
4
:
Solving a Single Variable Equation:
4.1 Solve px-2x3+13x2-25x+14 = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.
Supplement : Solving Quadratic Equation Directly
Solving 2x2-9x+7 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
5.1 Find the Vertex of y = 2x2-9x+7
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 2 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 2.2500
Plugging into the parabola formula 2.2500 for x we can calculate the y -coordinate :
y = 2.0 * 2.25 * 2.25 - 9.0 * 2.25 + 7.0
or y = -3.125
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = 2x2-9x+7
Axis of Symmetry (dashed) {x}={ 2.25}
Vertex at {x,y} = { 2.25,-3.12}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 1.00, 0.00}
Root 2 at {x,y} = { 3.50, 0.00}
3 Solving 2x2-9x+7 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 2
B = -9
C = 7
Accordingly, B2 - 4AC =
81 - 56 =
25
Applying the quadratic formula :
9 ± √ 25
x = —————
4
Can √ 25 be simplified ?
Yes! The prime factorization of 25 is
5•5
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 25 = √ 5•5 =
± 5 • √ 1 =
± 5
So now we are looking at:
x = ( 9 ± 5) / 4
Two real solutions:
x =(9+√25)/4=(9+5)/4= 3.500
or:
x =(9-√25)/4=(9-5)/4= 1.000
In how many ways can the letter of word number taken two at a time
Answer:
So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.
Answer:
15
Step-by-step explanation:
There are 6 letters in the word number
This is 6 choose 2
This is a combination
The formula is 6! / ( 2! * (6-2)! )
6! / 2! 4!
(6*5*4*3*2*1) / ( 2*1 * 4*3*2*1)
Canceling like factors
(6*5) / ( 2*1)
30/2
15
There are 15 possible ways to have 6 choose 2
Nikki makes $9.50 an hour working at Current Electronics She plans to buy a DVD recorder that costs $269.60. Write and solve an inequality
describing how many hours h Nikki will have to work to be able to buy the DVD recorder
A. 269,60 -- 29.56; 28 hours
B. 9.50h 2 269,60; 29 hours
C. 269.60 + h 29.50; 31 hours
D. 269.60 2 9,50; 30 hours
Answer:I would believe it's the first choice. I'm not great with the inequalities though so it could be wrong. If you work 29 hours making $9.50, you make like $275 or something so it is greater than the $269.60 you need. :D
Answer:
nikki should quit her job
11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6
The given expression is :
1:2=3:x
To find,
The value of x.
Solution,
The ratio of LHS is 1:2 or 1/2
It should be same as in RHS.
If x = 6,
Then the ratio becomes :
1:2 = 3:6
or
1:2 = 1:2
Hence, the value of x = 6.
Best answer gets brainliest. How do I find X?
Answer:
x=10
Step-by-step explanation:
add al the numbers that are alike so xes with xes blah blah
17x+10=180
-10 both sides
17x=170
divide 17 both sides
check
5(10)=50-1=49
80+5=85
40+6=46
49+85+46=180
GIVING BRAINLIEST AND STARS
13)
Using a map scale of 1/2 inch = 10 miles, what would be the distance on the map between two cities that are actually 120 miles
apart?
A)
6 inches
B)
8 inches
C)
10 inches
D)
12 inches
Answer:
A) 6 Inches
Step-by-step explanation:
1/2=10 to find how many inches we need to get 120 miles, you have to find the conversion rate.
Conversion rate is 120 ÷ 10 which equals 12.
Now we multiply the conversion rate (12) times 1/2 to get an answer of 6 inches.
i'd appreciate a brainliest :)
If you rotate figure GTR 270° clockwise about the origin. What will be the coordinates of G’T’R’ (Please Help I need this done in five minutes.)
Answer:
C. G' (4,-7), R' (2,-3), T'(6,-4)
Step-by-step explanation:
Get a piece of paper and draw 2 intersecting lines, like how a graph looks like. Then get another paper that's transparent enough, and place a dot roughly where R would be. Rotate it 270* clockwise (3 times around 90 degrees), and R would be in the bottom right area. That means the figure would be around that area and you can base the coordinates from that.
when a load of 5 pounds is placed on a spring, its length is 6 inches, and when a load of 9 pounds is placed on the spring, its length is 8 inches. what is the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds? give units on your answer
Four inches every four and a half pounds
The average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
What is average?It is a measure of how much the function changes per unit, on average, over the given interval.
We have,
5 pounds loaded on a spring:
The length of the spring is 6 inches.
9 pounds loaded on a spring:
The length of the spring is 8 inches.
The average rate of change in the length of the spring as the load varies:
= (8 - 6) / (9 - 5)
= 2 / 4
= 1 / 2
= 0.5 inches per pound
Thus the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
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How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
Answer:
18
Step-by-step explanation:
Because 5/8×18 is 11 1/4
Answer:
what he said
Step-by-step explanation:
Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k
Answer: D
Step-by-step explanation:
I just got it wrong and D was the answer
nodadnotoday is my Spotify tho
The HCF of two numbers is 20. The LCM of both numbers is a multiple of 14. One number is greater than the other, work out the smallest possible numbers
Answer:
20
Step-by-step explanation:
Given that the HCF of two numbers is 20 and the LCM of both numbers is a multiple of 14.
So, the LCM of both numbers = 14n where n can be any natural number.
As HCF of two numbers is always smaller than or equal to the smallest number among both the numbers.
Here, the HCF of two numbers is 20, so the smallest number is greater than of equal to 20.
Hence, the smallest possible number is 20.
HELP ME PLES I NEED IT
Answer:
The trip is 50 miles
Step-by-step explanation:
30 = (60/100)T
T = (10/6)(30) = (5/3)(30) = 50 miles
Since I’m kinda slow I need help on this please
Answer:
when x=5, y=20
when x=3, y=12
when x=4, y=16
I hope that helps you!! :)
HELP WILL GIVE BRAINLIEST IF CORRECT
Answer:
hiii
your answer is option c
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
A sporting goods store is selling all their exercise equipment for 30% off.
The regular price for an exercise bicycle is $260. The regular price for a set of hand weights is $120.
Part A
Use the drop‐down menus to explain how to find the sale price of the exercise bicycle.
Find ____________ of the cost of the exercise bicycle. Multiply that amount by
_______
to find 30% of the cost. Then (x-+/ choose 1)
the regular price to find the sale price.
Part B
Use your answers from Part A to find the sale price for the exercise bicycle. Enter your answer in the line
$_______
Part C
What is the sale price of the hand weights?
$114
$84
$36
$380
Answer:
weird
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
answered it. but I really need the answer tho like rn!
Choose a true statement
g(x) is not a function because f(x) is not a
function.
g(x) is not a function because f(x) is not one-
to-one.
gx) is a function because f(x) is one-to-one.
g(x) is a function because f(x) is not one-to-
O
one.
I think it is the first one
Answer:
Keep it simple: part one. D, part two. C
Step-by-step explanation:
given that 16 ounces equal 1 pound , how many ounces are in 6.7 pounds
Answer:107.2
Step-by-step explanation:
Answer:
107.2
Step-by-step explanation:
6 x 16 = 96
.7 x 16 = 11.2
add them to get 107.2
Robin, who is self-employed, contributes $4500/year into a Keogh account. How much will he have in the account after 30 years if the account earns interest at the rate of 2.5%/year compounded yearly?
Answer:
The amount that would be in the account after 30 years is $368,353
Step-by-step explanation:
Here, we want to calculate the amount that will be present in the account after 30 years if the interest is compounded yearly
We proceed to use the formula below;
A = [P(1 + r)^t-1]/r
From the question;
P is the amount deposited yearly which is $4,500
r is the interest rate = 2.5% = 2.5/100 = 0.025
t is the number of years which is 30
Substituting these values into the equation, we have;
A = [4500(1 + 0.025)^30-1]/0.025
A = [4500(1.025)^29]/0.025
A = 368,353.3309607034
To the nearest whole dollars, this is;
$368,353
What is the answer answer and plz give me step by step explaining
Answer:
x = 5
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
We evaluate the numbers in the brackets first.
(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)
6 + 8x - 8 = 6x + 8
The left hand side of the equation is not exactly simplified, so we will evaluate it further first.
(6 - 8 = -2)
8x - 2 = 6x + 8
Now we can start shifting the x and the numbers separately.
Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.
8x - 6x = 8 + 2
Further evaluation
2x = 10
Now we can simply find x.
Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.
x = 10 ÷ 2
Evaluate.
x = 5
Write fifty three hundredths in standard form
Answer:
53/100 or 0.53 i think thats right
your statement balance is 600.00 You have an outstanding checks for
125.00 and 175.00. an outstanding debit for 200.00. You also have an
outstanding deposit of 400.00. What is your adjusted balance? *
A.575.00
B.500.00
C.400.00
D.625.00
Answer:
B
Step-by-step explanation:
600+125+175=900-400(deposit)=500
or
600-125-175-300-200=100+400=500
Brainliest Please :)
y=-|x+3| domain and range
Answer:
the domain is that x is a set of real numbers.
the range is y ≤ -3
Step-by-step explanation:
y = -|x + 3|
y is either positive or equal to zero.
Now, x is all real numbers because any value of x used will yield a valid value of y.
Thus, we can say that the domain is that x is a set of real numbers.
Now, for the range:
The minus sign in front of the absolute value indicates that the function has a maximum value.
Thus, the range is y ≤ -3
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points) Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically. (4 points) (10 points)
Answer:
The point (5, -8) is not in the solution area
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$140 for 13 ft2
the unit rate is:
I need help guys please help
degree of precision 15.68 x 1.1
Answer:
15.68×1.1 = 17.248 so if we see then it has 5 sig figs
Estimate the square root of 296 to the nearest tenth.
Answer:
17.2
Step-by-step explanation:
Answer:
±17.20
Step-by-step explanation:
Follow Me Please
Brooke measures the height of her bean plant for a science project. The bean plant is 12.5 inches tall.
How many centimeters tall is Brooke’s bean plant?
Answer:
its 31.75
Step-by-step explanation:
12.5 inch = 31.75 cm
Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are nequals6 trials, each with probability of success (correct) given by pequals0.2. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.
Answer:
0.2 +-4
Step-by-step explanation:
The required probability is 0.8826 that the number x of correct answers is fewer than 4.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are n equals 6 trials, each with a probability of success (correct) given by p equals 0.2.
This is a direct application of Binomial distribution with sample size (n) = 6 and P(success) = p = 0.35
Let X be a Binomial random variable.
X ~ Binomial (n = 6, p = 0.35)
We have to determine, P(X < 4)
Using Excel we discover this probability,
⇒ P(X < 4) = P(X ≤ 3) = BINOMDIST (3, 6, 0.35, 1) = 0.8826
⇒ P(X < 4) = 0.8826
Therefore, the required probability is 0.8826
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