Answer:
IQ scores of at least 130.81 are identified with the upper 2%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 100 and a standard deviation of 15.
This means that [tex]\mu = 100, \sigma = 15[/tex]
What IQ score is identified with the upper 2%?
IQ scores of at least the 100 - 2 = 98th percentile, which is X when Z has a p-value of 0.98, so X when Z = 2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 15*2.054[/tex]
[tex]X = 130.81[/tex]
IQ scores of at least 130.81 are identified with the upper 2%.
A watch was purchased for Rs. 150 and sold for Rs.300. Find the profit percent.
a.150%
b.50%
c.100%
d.15%
Answer:
c. 100%
Step-by-step explanation:
profit or loss = (sale price - purchase price)/(purchase price) * 100%
profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%
profit or loss = (Rs. 150)/(Rs. 150) * 100%
profit or loss = 1 * 100% = 100%
Since the result is positive it is a profit.
Answer: The profit was 100%.
A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?
Step-by-step explanation:
the equation is
c =>
4.50 + 1.70 w = 16
an article which cost money 150 was sold at a loss of 5%.what was the selling price?
Answer:
142.5
Step-by-step explanation:
150/x=100/95
95*150/100=
142.5
Question in the picture ^
Step-by-step explanation:
try use ruler for AB , AC , & BC ,
then find the area of
please help 30 points and if I get correct answer i will brainiest them
Answer:
9,-4
Step-by-step explanation:
-9×4=-36
Negative × Positive = Negative
can someone help me please with solution
Can someone help plz
Answer:
Sr i dont know
Step-by-step explanation:
WILL GIVE BRAINLIST
WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”
THE PRODUCT OF 4 AND A NUMBER
Answer:
x+14.
Sum of a number and 14 is x+14.
How do I do this trigonometry problem? or where do I even start.
Answer:
∅=6
Step-by-step explanation:
let ∅=x
[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]
*URGENT*
PLEASE HELP ILL GIVE BRAINLIEST !!!!!!
In a flight of 600km,an aircraft was alowed down due to bad weather. Its average speed for the trip reduced to 200km/hr and the time increased by 30 minutes. Find the duration of the flight.
Answer:
The duration of the flight is 1 hour
Step-by-step explanation:
Since average speed = distance traveled / time
Let the duration of the flight be in z hours
So, (600km/z hours) - (600km/ z hours + (1/2)) = 200km/hr
Note: 1/2 is used as a result of 30 minutes increased in time which is half an hour.
200 = (600/z ) - (600/z + (1/2))
Multiply 2 through on (600/z + (1/2))
200 = (600/z ) - (1200 / (2z + 1))
Divide through by 200
= z(2z + 1) = 3
convert to quadratic equation
2z² + z = 3
2z² + z - 3 = 0
(2z + 3) ( z-1) = 0
z-1 = 0
z = 1 hour
Ive friends each knit one part of a scarf that is 1 5 12 yards long. Which shows the fractions of the scarf each friend could have knit? A. 1 12 + 2 12 + 3 12 + 8 12 + 4 12 B. 1 12 + 6 12 + 3 12 + 2 12 + 4 12 C. 2 12 + 3 12 + 3 12 + 2 12 + 5 12 D. 5 12 + 1 12 + 4 12 + 2 12 + 5 12
Answer:
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Step-by-step explanation:
Ive friends each knit one part of a scarf that is 1 5/ 12 yards long.
Hencfy, the fractions of the scarf each friend could have knit is calculated by comparing the options
A. 1 /12 + 2 /12 + 3 /12 + 8 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 18/12 = 1 6/12 = 1 1/2
Option A is wrong
B. 1 /12 + 6/ 12 + 3 /12 + 2 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 16/12 = 1 4/12 = 1 1/3
Option B is wrong
C. 2/12 + 3/ 12 + 3/ 12 + 2/ 12 + 5/ 12
Lowest Common Denominator = 12
Hence = 15/12 = 1 3/12 = 1 1/4
Option C is wrong
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Lowest Common Denominator = 12
Hence = 17/12 = 1 5/12
Option D is correct
Therefore, the fractions of the scarf each friend could have knit is Option D
PLEASE HELP ATTACHED BELOW
Answer:
[tex]Area~of~quarter:-[/tex]
[tex]\frac{\pi r^2}{4}[/tex][tex]=\frac{\pi *8*8}{4}[/tex]
[tex]=16\pi[/tex]
--------------------hope it helps...have a great day!!Help asap please 50 points
Answer:
The area of rectangle is 8 x ² y ².
Step-by-step explanation:
Given that :- Measure of side A of rectangle is 2 xySide B measure twice the length of side A = 2 × ( 2xy ) = 4 xyTo Find :-➛ Area of rectangle
Formula Used :-➛ Area of rectangle = Length × Breadth
Solution :-Firstly we need to find Breadth of rectangle
Using Formula
Area of rectangle = Length × Breadth
Where
Length of rectangle = 2xy
Breadth of rectangle = 2 × 2xy = 4 xy
Substituting the values into the Formula
Area of rectangle = 2 xy × 4 xy
multiply, we get
Area of rectangle = 8 x² y²
Therefore, Area of rectangle is 8 x ² y ².
A ... has one triangular base and three triangular lateral faces.
Rectangular Prism
Square Pyramid
Triangular Pyramid
Triangular Prism
Answer quick Please!
Hope this help!!!
Have a nice day!!!
Answer:
that gy is rong dount do it
Step-by-step explanation:
Please help !!!!!!!!
Answer:
C = (4,4)
It is (4,4) because it means that it is twice as large as the original coordinates.
Patricia y Armando tienen $220 entre los dos. Patricia le da a Armando $30 de tal forma que ambos tendrán la misma cantidad de dinero. ¿CUANTO DINERO TIENE CADA UNO?
Answer:
Patricia's amount of money = $125
Armando's amount of money = $95
Step-by-step explanation:
Given:
Total amount of money = $220
Patricia have $30 more than Armando
Find:
Amount of money each have.
Computation:
Assume;
Patricia's amount of money = a
So,
Armando's amount of money = a - 30
So,
a + a - 30 = 220
2a - 30 = 220
2a = 250
a = 125
Patricia's amount of money = $125
Armando's amount of money = 125 - 30
Armando's amount of money = $95
Please helpppppp 7th grade mathhh
Answer:
10 quarts
thank you
i think
1. Divide.
b) (6x² + x - 12) + (2x + 3)
Answer:
Step-by-step explanation:
Dividing : 6x2-x+12
("Dividend")
By : 2x-3 ("Divisor")
dividend 6x2 - x + 12
- divisor * 3x1 6x2 - 9x
remainder 8x + 12
- divisor * 4x0 8x - 12
remainder 24
Quotient : 3x+4
Remainder : 24
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
Step-by-step explanation:
[tex]1)Divide \ (6x^2 + x -12) \ by \ (2x + 3)[/tex]
[tex]6x^2 + x -12 = 6x^2 + 9x - 8x -12[/tex]
[tex]=3x(2x + 3)-4(2x + 3)\\\\=(3x -4)(2x + 3)[/tex]
[tex]\frac{6x^2 + x -12}{2x + 3} = \frac{(3x -4)(2x+3)}{(2x+3)} = (3x -4)[/tex]
The expression 2 - x-1/x+2
is equivalent to
A. 1 - 3/x+2
B. 1 + 3/x+2
C. 1 - 1/x+2
D. 1 + 1/x+2
The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
We have to find, which equation is equivalent to the given expression.
The given expression is,
[tex]= 2- \dfrac{x-1}{x+2}[/tex]
To determine the equivalent expression following all the steps given below.
Step1; Taking LCM in the equation,[tex]\rm = 2-\dfrac{x-1}{x+2}\\\\= \dfrac{2(x+2) - (x-1)}{x+2}\\\\= \dfrac{2x+4-x+1}{x+2}\\\\[/tex]
Step2; Solving the equation,[tex]= \dfrac{2x+4-x+1}{x+2}\\\\= \dfrac{x+5}{x+2}\\\\[/tex]
Step3; rewrite the equation in the small factors,[tex]=\dfrac{x+5}{x+2}\\\\= \dfrac{x+ 2+3}{x+2}\\\\[/tex]
Step4; By using partial fraction rewrite the equation,[tex]= \dfrac{x+2}{x+2} + \dfrac{3}{x+2}\\\\= 1 + \dfrac{3}{x+2}[/tex]
Hence, The expression [tex]2- \dfrac{x-1}{x+2}[/tex] is equivalent to [tex]1 + \dfrac{3}{x+2}[/tex].
For more details refer to the link given below.
https://brainly.com/question/2264568
the slope of the line that passes through the points in the table is:
Answer:
-2/7
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
m = (8-0)/(-14-14)
= 8/-28
= -2/7
Which expression entered into a graphing calculator will return the probability
that at most 10 heads come up when flipping a coin 25 times?
A. binomcdf(25, 10,0.5)
B. binomcdf(10, 0.5, 25)
C. binomcdf(25, 0.5, 10)
D. binomcdf(10,25, 0.5)
SUBMIT
What is the length of leg s of the triangle below?
45°
90°
45°
10v2
Answer:
B
Step-by-step explanation:
The 45 45 90 triangle means that the hypotenuse is just one of the two legs multiplied by rad2. This means that leg s is 10.
The length of the leg is 10.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 45 = Opposite face to angle 45/ Hypotenuse
1/√2 = s / 10√2
s = 10√2 / √2
s = 10
Thus,
The length of the leg is 10.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ7
6. Suppose Daniel decides to cheat and makes up 6 numbers. He writes down
2, 4, 12, 18, 19, and 25. In order for the rest of his project to correctly
match this data, what would he have to change and how? What parts could
stay the same? Explain your reasoning.
Change:
Same:
PLEASE SOMEONE HELP IM IN NEED
Answer:
he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.
Consider the following statement. If r is any rational number and s is any irrational number, then r s is irrational. (a) Which of the following is a negation for the statement? If r is any rational number and s is any irrational number, then r s is rational. If r is any irrational number and s is any rational number, then r s is irrational. There is a rational number r and an irrational number s such that r s is irrational. There is a rational number r and an irrational number s such that r s is rational. (b) What are some values of r and s for which the given statement is false (that is, for which its
Answer:
(a) If r is any rational number and s is any irrational number, then r/s is rational
(b) The statement is false when r is 0
Step-by-step explanation:
Given
[tex]r \to[/tex] rational number
[tex]s \to[/tex] irrational number
[tex]\frac{r}{s} \to[/tex] irrational number
Solving (a): The negation
To get the negation of a statement, we only need to negate the end result
In other words, the number type of r and s will remain the same, but r/s will be negated.
So, the negation is:
[tex]r \to[/tex] rational number
[tex]s \to[/tex] irrational number
[tex]\frac{r}{s} \to[/tex] rational number
Solving (b): When r/s is irrational is false
Given that:
[tex]\frac{r}{s} \to[/tex] irrational number
Set r to 0
So:
[tex]\frac{r}{s} = \frac{0}{s}[/tex]
[tex]\frac{r}{s} = 0[/tex] -- rational
Hence, the statement is false when r is 0
6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of one side of the base by the function h(s) = 900
a. What value of y satisfies the equation y=h(10). What does this tell you about the box?
Answer:
Step-by-step explanation:
Its 43567 bc I searched it up
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?
Answer:
4 miles apart. the answer this question.
pls help me ill give brainliest and no links pls ty!:)
Given : GH bisects ∠FGI
It means : ∠FGH and ∠HGI are equal
Given :
∠FGH = (5x - 8)°
∠HGI = (6x - 15)°
⇒ 5x - 8 = 6x - 15
⇒ 6x - 5x = 15 - 8
⇒ x = 7°
Substituting the value of x, We get :
∠FGH = 5(7) - 8 = (35 - 8) = 27°
∠HGI = 6(7) - 15 = (42 - 15) = 27°
∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°
Tracy's team won 75% of their games last year. They played 12 games. How many games did they win?
Answer:
9 games.
Step-by-step explanation:
You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.
How many solutions are there to the system of equations graphed below if the lines are parallel?
Answer:
zero, or 0, or none. answer is A
Step-by-step explanation:
they never touch, just pick A
Answer:
0, the answer is a
Step-by-step explanation:
