Answer:
Actual SAT Score = 815.284
Equivalent ACT Score = 15.811
The equivalent ACT Score = 29.95
Step-by-step explanation:
From the given information:
Scores on the SAT test are normally distributed with :
Mean = 982
Standard deviation = 198
If a student gets an SAT score that is the 20-percentile
Then ;
P(Z ≤ z ) = 0.20
From the standard z-score for percentile distribution.
z = -0.842
Therefore, the actual SAT Score can be computed as follows:
Actual SAT score = Mean + (z score × Standard deviation)
Actual SAT score = 982 + (- 0.842 × 198)
Actual SAT score = 982 + ( - 166.716)
Actual SAT score = 982 - 166.716
Actual SAT Score = 815.284
Scores on the ACT test are normally distributed with a mean of 19.6 and a standard deviation of 4.5.
Mean = 19.6
Standard deviation = 4.5
Equivalent ACT Score = 19.6 + (- 0.842 × 4.5)
Equivalent ACT Score = 19.6 + ( - 3.789)
Equivalent ACT Score = 15.811
If a student gets an SAT score of 1437, find the equivalent ACT score.
So , if the SAT Score = 1437
Then , using the z formula , we can determine the equivalent ACT Score
[tex]z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]z = \dfrac{1437 - 982}{198}[/tex]
[tex]z = \dfrac{455}{198}[/tex]
z =2.30
The equivalent ACT Score = 19.6 + (2.30 × 4.5)
The equivalent ACT Score = 19.6 + 10.35
The equivalent ACT Score = 29.95
Find the length of AB
Answer:
AB = 3π
Step-by-step explanation:
The formula for the circumference of a circle is:
C = 2πr
By substituting 27 for r:
C = 2π(27)
C = 54π
The whole circumference is 54π. A circle is 360º around. We can set up a proportion to find the length of the 20º arc:
[tex]\frac{360}{54p}[/tex] = [tex]\frac{20}{x}[/tex]
Cross-multiply:
360x = 1080π
Divide both sides by 360:
x = 3π
AB = 3π
Answer:
AB = 3π
Step-by-step explanation:
The arc AB can be calculated as
AB = circumference of circle × fraction of circle
The central angle is equal to the measure of arc AB = 20° , thus
AB = 2πr × [tex]\frac{20}{360}[/tex]
= 2π × 27 × [tex]\frac{1}{18}[/tex] ( cancel 18 and 27 by 9 )
= 2π × 3 × [tex]\frac{1}{2}[/tex] = 6π × [tex]\frac{1}{2}[/tex] = 3π
Which equation represents the
value of 0 in a triangle when all
oth er angle information is
known?
Answer:
theta = 180 -(A +B)
Step-by-step explanation:
The sum of the angles of a triangle is 180
theta + A + B = 180
solve for theta
Subtract ( A + B) from each side
theta +A+B -(A +B) = 180 -(A +B)
theta = 180 -(A +B)
PLEASE HELP ME I WILL GIVE 5 STARS TO THE FIRST ONE WHO GETS THIS RIGHT !
Answer:
Option 1 and option 4
Step-by-step explanation:
The inverse of 12^2 is the √12 so option 4 is correct. 12^1/2 also equals √12 so option 1 is also correct.
Answer:
12 [tex]\frac{2}{1}[/tex]
Step-by-step explanation:
i need help :( please answer
Answer:
[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]
Step-by-step explanation:
[tex] - {(3)}^{ - 4} = \\ - ( { 3}^{ - 4} )= \\ - (\frac{1}{ {3}^{4} } )[/tex]
[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]
[tex] = - \frac{1}{81} [/tex]
I hope it helps
One leg of a right triangle measures 8 units and the hypotenuse measures 12 units. The perimeter of the triangle is irrational. True False
Answer:
TRUE
Step-by-step explanation:
Length of other leg [tex]= \sqrt {12^2 - 8^2} \\
= \sqrt {144 -64} \\
= \sqrt {80} \\
= 4\sqrt {5} \\[/tex]
Since, [tex] \sqrt 5[/tex] is an irrational number, hence Perimeter of triangle will also be irrational.
TRUE
Answer:
True.
Step-by-step explanation:
The length of the other side = sqrt ( 12^2 - 8^2)
= sqrt (144 - 64)
= sqrt ( 80) which is irrational so the perimeter is also irrational.
(The sum of a rational number and an irrational is irrational).
What is the sum of the complex numbers
9- i and – 5 – i?
[tex]9-i+(-5-i)=9-i-5-i=4-2i[/tex]
Tori and Gavin were trying to solve the equation: (x+1)^2-3=13(x+1) 2 −3=13left parenthesis, x, plus, 1, right parenthesis, squared, minus, 3, equals, 13 Tori said, "I'll add 333 to both sides of the equation and solve using square roots." Gavin said, "I'll multiply (x+1)^2(x+1) 2 left parenthesis, x, plus, 1, right parenthesis, squared and rewrite the equation as x^2+2x+1-3=13x 2 +2x+1−3=13x, squared, plus, 2, x, plus, 1, minus, 3, equals, 13. Then I'll subtract 131313 from both sides, combine like terms, and solve using the quadratic formula with a=1a=1a, equals, 1, b=2b=2b, equals, 2, and c=-15c=−15c, equals, minus, 15."
The other answer is correct, its both !<3
Answer:
Both
Step-by-step explanation:
Both Tori and Gavin are correct, the two methods work. Completed this in Khan Academy, it's correct.
ASAP how many solutions are there for the system of equations shown on the graph?
Answer: Infinitely many solutions
Step-by-step explanation:
The lines is on top of each other so this makes it many solution.
It can't be NO solution because the lines are not parallel to each, which means they will not intersect.
It can't be one solution because the lines doesn't intersect.
It can't be two solutions because the lines never intersect and they never intersect twice either.
Someone help me plzz
Step-by-step explanation:
distance around the running track means to find the perimeter of whole solid figure
radius(r) = 30/2 =15m
perimeter = 50+ pi× r + 50+ pi × r
= 100 + 2 × pi ×r
= 100 + 2× 22÷7 × 15
= 1360/ 7 m
= 194.285 m
Simplify 3 x times the fraction 1 over x to the power of negative 4 times x to the power of negative 3.
Answer:
3x^2
Step-by-step explanation:
Given:
(3x) * {(1/x)^-4 }* (x^-3)
=(3x) * {1 ÷ (1/x)^4} * {1/x^3}
=(3x) * {1(x/1)^4} * (1/x^3)
=(3x) * (x^4) * (1/x^3)
=(3x) (x^4) (1) / x^3
Multiply the denominators
=3x^5 / x^3
Can also be written as
=3*x*x*x*x*x / x*x*x
Divide the x
= 3*x*x / 1
=3x^2
Solve for g.
-3+5+ 6g = 11 – 3g
g =
Answer:
g = 1
Step-by-step explanation:
-3 + 5 + 6g = 11 - 3g
Move the variables to one side and the numbers to the other:
9g = 9
Simplify:
g = 1
Answer:
g=1
Step-by-step explanation:
-3+5=2
2+6g=8
11-3g=8
makes sense that g will have to be 1
The Cartesian coordinate system can be applied to three-dimensional solids. Instead of two axes, the coordinate system has three. What are the labels? Check all that apply.
A. z
B. y
C. a
D. x
E. w
Answer:
its z y and x
Step-by-step explanation:
can i pls get brainliest
Covert the verbal expression into an algebraic expression.
The product of 23 and a number x
Answer:
23×x
=23x
Hope it helps
Answer:
23x
Step-by-step explanation:
"The product of" indicates that we will be multiplying the two quantities. 23 multiplied by x can be written as 23 * x which simplifies to 23x.
a cone with base radius 7 cm has a volume of 308 cm cube find the vertical height of the cone take π 22/7
pls now
Answer:
h=6.003 cm
Step-by-step explanation:
[tex] \frac{1}{3} \pi {r}^{2} h \: \: is \: the \: volume \: of \: cone[/tex]
1/3×22/7×7×7×h=308
h=308/51.3
Answer:
h = 6 cm
Step-by-step explanation:
r = 7 cm
Volume of cone = 308 cm³
[tex]\frac{1}{3}\pi r^{2}h=308\\\\\\\frac{1}{3}*\frac{22}{7}*7*7*h=308\\\\\\h=\frac{308*3*7}{22*7*7}\\\\\\h=2*3[/tex]
h = 6 cm
What x value solves the equation? 3x – 5 = 1 x =
Answer:
x = 2
Step-by-step explanation:
3x - 5 = 1
Adding 5 to both sides gives us:
3x - 5 + 5 = 1 + 5
3x = 6
Dividing the equation by 3 gives us:
3x / 3 = 6 / 3
x = 2
Answer:
x = 2 Hfizfifsits96eotst9s
Function g can be thought of as a scaled version of f(x)=|x| what is the equation for g(x)?
Answer:
A
Step-by-step explanation:
Khan academy
The equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Function g can be thought of as a scaled version of f(x)=|x|
The function f(x):
f(x) = |x|
The blue lines represent the function f(x)
First reflect the function f(x) around the x-axis
F(x) = -|x|
Multiply by the factor 4 to stretch the function:
g(x) = -4|x|
Thus, the equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65 . For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was 1875 . What was the price of each kind of ticket?
Answer:
same day = 25
advanced = 40
Step-by-step explanation:
Let a = advanced tickets
s = same day tickets
s+a = 65
25a+35s = 1875
Multiply the first equation by -25
-25s -25a = -1625
Add this to the second equation
25a+35s = 1875
-25a -25s= -1625
---------------------------
10s = 250
Divide each side by 10
10s/10 = 250/10
s =25
Now find a
s+a = 65
25+a = 65
a = 40
Answer: same day = 25
advanced = 40
Help please on this question. I’d appreciate it if you answered.
Ok so the letters overwrap all of the alphabets and the other terms are in.
Answer:
see below
Step-by-step explanation:
Consonants and vowels do not overlap
There are no consonants that are vowels and no vowels that are consonants
That means the circles will never touch
Dtermine the answer to (−5) + 4 and explain the steps using a number line
Answer:
Step-by-step explanation:
=-5 +4
= -1
put a dot on -1 and go from -5 to -1 and then from -1 to -5
Which expression represents the prime factorization of 243?
Answer:
[tex]\boxed{3^5}[/tex]
Step-by-step explanation:
Hey there!
Look at the image below↓
By looking at the image we can tell the PR expression is [tex]3^5[/tex].
Hope this helps :)
Answer:
Below in bold.
Step-by-step explanation:
Dividing by primes:
3 ) 243
3 ) 81
3 ) 27
3) 9
3.
So the prime factors of 243 are 3 * 3 * 3 * 3 * 3 or 3^5.
If A has a 3 letter name, but the name doesn’t contain a vowel what would be A’s name?
A is vowel.
first condition prevents any vowels, thus there will be no A at all
2) In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%. I) Find the weight of the wastage. II) Find the weight and percentage of rice cultivated. 3) If the area has been increased 40 times in size, how much rice will be cultivated (excluding the wastag
Answer:
Weight of wastage=179.775kg
weight of rice cultivated= 585.225 kg
percentage of rice cultivated=76.5%
Step-by-step explanation:
Area of land=100 square meters
Cultivated rice=765kg
Wastage=23.5%
1) Weight of the wastage=23.5% of 765kg
=23.5/100 × 765
=17977.5 / 100
=179.775 kg
2) Weight and percentage of rice cultivated.
weight of rice cultivated = 765 kg - 179. 775 kg
= 585.225 kg
percentage of rice cultivated = 100 - 23.5
= 76.5%
3) if area is increased 40 times in size
New area=1000 square meters × 40
=40,000 square meters
Cultivated rice= 765kg × 40
=30,600 kg
Cultivated rice excluding wastage=585.225 kg × 40
=23,409 kg
Celine is Drake’s granddaughter. Her age is 4 years greater than of Drake’s age. If Celine is 28 years old, how old is Drake?
Answer:32
Step-by-step explanation:
if selling is 28 and she is 4 years greater than Drake then that is 28-4 which is 32 so Drake is 32 years old
Answer:
The answer is 32.
Step-by-step explanation:
If Celine is 28 and Drake is four years older than her, we do 28+4.
help please, got a little lost in everything
Answer:
375 mm cubed
Step-by-step explanation:
The volume would stay the same because the same number of the same pennies are being used.
If the question was asking for the surface area, then the answer would be different.
Hope that helped!!! k
Answer: 375 mm cubed
Solve for x.
13(x-3) = 39
x=1
x=4
x=6
x= 10
Answer:
x=6
Step-by-step explanation:
13(x-3) = 39
Divide each side by 13
13/13(x-3) = 39/13
x-3 = 3
Add 3 to each side
x-3+3 = 3+3
x = 6
Answer:
x=6 ,is right.
6-3=3&multiply 13=39
so answer is x=6
mark brainleast plz
Factor completely 2c5 + 44c4 + 242c3. 2c3(c + 11)2 2(c + 11)2 2c3(c + 11)(c − 11) 2c3(c2 + 22c + 121)
Answer:
2c^3(c+11)^2
Step-by-step explanation:
2c^5 + 44c^4 + 242c^3
Factor out the greatest common factor
2c^3(c^2+22c+121)
Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11
2c^3(c+11)^2
y=2/5x-12 is it liear or nolinear or both
Answer:
Step-by-step explanation:
y=2/5x-12 it is a linear equation in the form of y=mx+b
the best way to know is to graph the function
40 POINTS!!!!
ANSWER ASAP!!!
What is the value of y?
O 3 sqrt 3 units
O 6 sqrt 3 units
O 9 sqrt 3 units
O 12 sqrt 3 units
Answer:
6 sqrt(3) = y
Step-by-step explanation:
We can use the leg rule to find y
hyp leg
----- = -------
leg part
9+3 y
----- = -------
y 9
Using cross products
12*9 = y^2
108 = y^2
Taking the square root of each side
sqrt(108) = sqrt(y^2)
sqrt(36 *3) = y
6 sqrt(3) = y
Answer: B) 6/3 units
Step-by-step explanation:
how many are 3 raised to 2 ???
Answer:
[tex]\huge \boxed{9}[/tex]
Step-by-step explanation:
3 raised to 2 is 3 to the power of 2.
[tex]3^2 =3 \times 3 = 9[/tex]
3 is multiplied by itself.
please help me for the homework
Answer:
refer to the pic attached
