Answer:
A score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has the highest relative position.
Step-by-step explanation:
Which score has the highest relative position: a score of 38 on a test with a mean of 30 and a standard deviation of 10, a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 or a score of 432 on a test with a mean of 396 and a standard deviation of 40.
In order to find the solution, we need to calculate the z score value for each test.
The z score formula: [tex]z = \dfrac{\bar{x} -\mu}{s}[/tex] where [tex]\bar{x}[/tex] is the score, μ is the mean and s is the standard deviation.
Now for test 1:
Put [tex]\bar{x}=38, \mu=30 \text{ and } s=10[/tex] in the above formula.
[tex]z = \dfrac{38 -30}{10}[/tex]
[tex]z = 0.8[/tex]
For test 2:
Put [tex]\bar{x}=4.2, \mu=2.5 \text{ and } s=1.2[/tex] in the above formula.
[tex]z = \dfrac{4.2 -2.5}{1.2}[/tex]
[tex]z \approx 1.417[/tex]
For test 3:
Put [tex]\bar{x}=432, \mu=396 \text{ and } s=40[/tex] in the above formula.
[tex]z = \dfrac{432 -396}{40}[/tex]
[tex]z =0.9[/tex]
Since the z score value of test 2 is greater so a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has a highest relative position.
Rewrite the expression using only positive integer exponents.
find the value of x in the figure
Answer:
Option (4)
Step-by-step explanation:
By applying triangle sum theorem in ΔABC,
m∠A + m∠B + m∠C = 180°
80° + 40° + m∠C = 180°
m∠C = 180° - 120°
m∠C = 60°
Since, ∠ACB ≅ ∠DCE [Vertically opposite angles]
m∠DCE = m∠ACB = 60°
Now by applying triangle sum theorem in ΔCDE,
m∠DCE + m∠CED + m∠CED = 180°
60° + 70° + x° = 180°
x = 180 - 130
x = 50°
Therefore, Option (4) will be the answer.
Item 12
Solve the system of linear equations by substitution.
y−x=0
2x−5y=9
Check all solutions to the equation. If there are no solutions, check 'None."
x² = 64
ASAP PLEASE. THANKS :)
What is the best way to determine whether a given point is a solution to a system of equations?
A. Substitute the x and y coordinates into one equation and check to see if they work.
B. Graph the equations and see if the point lies on both lines
C. Substitute the x and y coordinate into both equations and check to see if they work
D. Solve the system of equations and compare the answer to the given point
Substitute the x and y coordinate into both equations and check to see if they work is a best way to determine whether a given point is a solution to a system of equations.
What is the system of equation?One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
The best way to determine whether a given point is a solution to a system of equations is to substitute the x and y coordinate into both equations and check to see if they satisfy the equation.
And if the solutions do not satisfy the equation that means given x , y are not the solutions.
And if the unknowns are the solutions of system of the equation that
means the pair of point lies in the graph.
Therefore the answer is option C.
To learn more about the system of equation;
https://brainly.com/question/13729904
#SPJ2
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were
12,454 total votes, how many no votes were there?
Answer:
Step-by-step explanation:
4,790
Which ordered pair is a solution to the inequality?
Answer:
C.
Step-by-step explanation:
The equation would be -3 is less than 3(1)+1, which is 4. And -3 is less than 4.
(hope this helps!)
3. Verify that the function
satisfies the three
hypotheses of Rolle's
Theorem on the given
interval. Then find all
numbers c that satisfies the
conclusion of Rolle's
Theorem.
y=-x² + 8x – 17
[3,5]
Dante drove 594 miles in 9 hours. If he traveled at a steady speed, how far did he drive per hour?
Area of Parallelogram
Answer:
area of a parallelogram = base * height
= 21 * 9
= 189 cm^2
hope it helps you
Mr. Corsetti spends 2/3 of every year in Florida. How many months does he spend in Florida each year?
Answer:
8 estimate
Step-by-step explanation:
exact 7.98
What is factoring?
Show us an example of factoring when a=1
Show a second example when a does not equal 1.
Answer:
Factorizing is the part of math where you find out the equations.
Step-by-step explanation:
Answer:
Factoring is the process of trying to find a numbers factor.
Step-by-step explanation:
Ex: 6 is 2 × 3
write a polynomial function in it's factored form with zeros 5, -1, and 2
Answer:
[tex](x-5)(x+1)(x-2)[/tex]
Step-by-step explanation:
well as a general case we have
when we say that
[tex]x=y[/tex] it gives zero moving the y to the other side we have
[tex]x-y=0[/tex]
so in our case
[tex]\longrightarrow x-5=0\\\\\rightarrow x-(-1)=0\\\\\longrightarrow x+1=0\\\\\longrightarrow x-2=0[/tex]
just multiply the ones that have [tex]\longrightarrow[/tex]
and get
[tex](x-5)(x+1)(x-2)=0[/tex]
Which expression has a value of 9 when x = 4?
Answer:
right top one
Step-by-step explanation:
3(8-5)=24-15=9
a math student is standing 40 feet from the base of a water tower. the angle of elevation from her horizontal line of sight is 72 degrees. If her "eye height" is 5 feet, how tall is the water tower? Round to the nearest foot.
9514 1404 393
Answer:
128 ft
Step-by-step explanation:
The height of the tower above eye-height is related to the angle by ...
Tan = Opposite/Adjacent
tan(72°) = (tower height above eye height)/(40 ft)
tower height above eye height = (40 ft)×tan(72°) = 123 ft
Since eye height is 5 ft, the total height of the tower from the ground is ...
tower height = eye height + height above eye height
tower height = 5 ft + 123 ft
tower height = 128 ft
PLEASE HELP ME ASAP!!
Answer:
Equation 8+4 12+4 16+4 M=8 B=20 Your welcome
Step-by-step explanation:
if cos x = sin(20+x) degrees and 0 degrees < x < 90 degrees, the value of x is
Answer:
x = 35°
Step-by-step explanation:
From the question given above:
cos x = sin(20 + x)
The value of x can be obtained as follow:
cos x = sin(20 + x)
Recall:
sin(A + B) = sinAcosB + cosAsinB
Therefore,
sin(20 + x) = sin20cosx + cos20sinx
cos x = sin(20 + x)
cos x = sin20cosx + cos20sinx
Collect like terms
cos x – sin20cosx = cos20sinx
cos x(1 – sin20) = cos20sinx
Divide both side by cosx
(1 – sin20) = cos20sinx / cosx
Recall:
Tan x = sinx / cosx
(1 – sin20) = cos20tanx
Divide both side by cos20
(1 – sin20) / cos20 = tanx
(1 – 0.3420) / 0.9397 = tanx
0.658 / 0.9397 = tanx
0.7 = tanx
Take the inverse of tan
x = tan¯ 0.7
x = 35°
Write an equation of the line that
passes through (-1,2) with a slope of 4
Step-by-step explanation:
Hey there!
Given;
The points is; (-1 , 2) and slope is 4.
Note: Use one-point formula.
[tex](y - y1) = m(x - x1)[/tex]
~ Put all values.
[tex](y - 2) = 4(x + 1)[/tex]
~ Simplify it.
[tex](y - 2) = 4x + 4[/tex]
[tex]4x - y + 6 = 0[/tex]
Therefore, the required equation is; 4x-y+6=0.
Hope it helps...Figure ABCD is transformed to figure A′B′C′D′:
a. Angle D prime A prime B prime.
b. Angle A prime B prime C prime.
c. Angle B prime C prime D prime.
d. Angle C prime D prime A prime.
Answer:
D. <C'D'A'
Step-by-step explanation:
Given that figure ABCD is transformed to figure A′B′C′D′, therefore the angles of ABCD would be congruent to the corresponding angles of A′B′C′D′.
<CDA corresponds to <C'D'A'. Therefore:
<CDA = <C'D'A'
What is 37-11+23? Have a great night guys!!!! #FREEPOINTS
Answer:
49 thanks have a awesome night/day
Answer:
37-11+23= 49
Have a good day
HELP HELPP HELP I WILL GIVE BRAINLEST WORTH 18 POINTS
Which equation can be used to calculate the area of the shaded triangle in the figure below?
A rectangle is shown with a width of 6 ft and a length of 16 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey.
A. 2(16 × 6) = 192 square feet
B. 2(16 + 6) = 44 square feet
C. 1 over 2.(16 × 6) = 48 square feet
D. 1 over 2.(6 + 16) = 11 square feet
Answer:
D
Step-by-step explanation:
Answer:c
Step-by-step explanation:
helpppppppppppppppppppppp
Answer:
309 inches squared
Step-by-step explanation:
bottom face: 40
left face: 96
right face: 104
front face: 30
behind face: 30
add them up
Donald bought a bicycle that cost $50.00 when it was new. If he eventually sold it for
16% of the original cost, how much was it sold for
Answer:
$8
Step-by-step explanation:
ngl but thats cheap for a $50 bike. is the bike torn in half or somthing
One solution to a quadratic function, h, is given.
-4 + 7i
Which statement is true?
A. Function h has no other solutions.
B. The other solution to function h is -4 − 7i.
C. The other solution to function h is 4 − 7i.
D. The other solution to function h is 4 + 7i.
The answer isn't A. Function h has no other solutions.
I hope this helps.
Answer:
B. The other solution to function [tex]h[/tex] is [tex]-4-i\,7[/tex].
Step-by-step explanation:
From Algebra, we remember that quadratic functions of the form [tex]a\cdot x^{2}+b\cdot x + c[/tex] has solutions of the form:
[tex]x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex], where both are complex if and only if [tex]\sqrt{b^{2}-4\cdot a \cdot c}< 0[/tex].
Hence, if one solution of the quadratic function is [tex]-4+i\,7[/tex], then the other solution is [tex]-4-i\,7[/tex]. The correct answer is B.
Answer: it’s B
Step-by-step explanation:
I got it right
Helpppp fue on Monday major grade
Answer:
38 °
Step-by-step explanation:
a triangles total side add up to 180°
so, we subtract 180 - 106 = 74
then we subtract 74-36 = 38°
?= 38°
Help me please it’s due today :/
Answer:
68 degrees
Step-by-step explanation:
This triangle is an isosceles triangle which means that two sides have equal lengths and when two sides have equal lengths that means that two angles are the same. so you add 56 and 56 together and you get a sum of 112. all triangles add up to a degree of 180, so you therefore subtract 112 from 180 which gives you an answer of 68 degrees , therefore x is 68
PLEASE HELP!!
Maysa bought 9 kilograms of sugar for $10. How many kilograms of sugar did she get per dollar?
Answer:
0.9
Step-by-step explanation:
9÷10 =0.9 isisjsjsjsjjzjzjz
To solve the trigonometric inequality 2cos(x)+sin(x)-3/sin(x)<=3cot(x)-4csc(x) over the interval 0<=x<=2pi radians, Gabby performed the following steps, first simplifying the inequality and then setting both sides equal to y and graphing the equations.
In which step did she first make an error, and what was the error?
ANSWER: C
Answer:
C)
Step-by-step explanation:
right on edge (based on the person who asked the question)
HURRRY PLEASEE.........A coordinate plane. Which expression could help you find the distance between (10, 4) and (–6, 4)? |10| + |–4| |10| + |4| |–6| + |4| |10| + |–6|A coordinate plane. Which expression could help you find the distance between (10, 4) and (–6, 4)? |10| + |–4| |10| + |4| |–6| + |4| |10| + |–6|
Step-by-step explanation:
D
i got it right on the quiz
love to help
Answer:the answer is D!
Step-by-step explanation:
What is 3/100 times 3
Answer:
3/100 times 3 is 0.09 or 9/100
Answer:
0.09
Step-by-step explanation:
3÷100=0.03
0.03×3=0.09