Answer:
On the horizontal axis
Step-by-step explanation:
The complex number is represented by the complex plane or z-plane which is the representation geometrically of the real (number) axis and the imaginary (number) axis
When plotting complex numbers, the real part of the complex number is always plotted on the horizontal axis while the imaginary part is plotted on the vertical axis
The complex plane concept facilitates the description of complex numbers geometrically.
Many states assess the skills of their students in various grades. One program that is available for this purpose is the National Assessment of Educational Progress (NAEP). One of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In a recent year, the national mean score was 289 and the standard deviation was 37. Assume that these scores are approximately Normally distributed, N(289, 37). How high a score is needed to be in the top 25% of students who take this exam (use technology)?
Answer:
A score of 314 is needed to be in the top 25% of students who take this exam.
Step-by-step explanation:
We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.
Let X = scores of the tests provided by the NAEP
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = national mean score = 289
[tex]\sigma[/tex] = standard deviation = 37
Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;
P(X > x) = 0.25 {where x is the required score}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-289}{37}[/tex] ) = 0.25
P(Z > [tex]\frac{x-289}{37}[/tex] ) = 0.25
In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;
[tex]\frac{x-289}{37}=0.6745[/tex]
[tex]{x-289}=0.6745\times 37[/tex]
x = 289 + 24.96 = 313.96 ≈ 314
Hence, a score of 314 is needed to be in the top 25% of students who take this exam.
3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle B F D. Which angle is a vertical angle with AngleEFD? AngleDFB AngleCED AngleBFC AngleAFB
Answer:
AngleAFB
Step-by-step explanation:
We know that vertical angles are angles that opposite each other when two lines intersect. They share a common point or vertex.
In the question, the angle opposite to angle EFD is angle AFB. This is because they share a common vertex.
Since they share a common vertex and are opposite to each other, angle AFB is the angle vertical to angle EFD.
So, the angle vertical to angle EFD is angle AFB.
Answer:
angle afb
Step-by-step explanation:
took edge test
given: ∠ABD ≅ ∠BDE
prove: ∠CBD ≅ ∠CDB
__ __
BD≅BD - Reflexive Property
why is ∠CBD ≅ ∠CDB?
Answer:
See Explanation
Step-by-step explanation:
∠ABD ≅ ∠BDE..... (given).... (1)
m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)
From equations (1) & (2)
m∠BDE + m∠CBD = 180°....(3)
m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)
From equations (3) & (4)
m∠BDE + m∠CBD = m∠BDE + m∠CDB
m∠CBD ≅ m∠CDB.. (Proved)
8 x 105 is how many times as great as 8 x 10-1?
A. 10-4
B.10- -6
C. 10-6
D. 10 - -4
Answer:
1050 times larger
Step-by-step explanation:
simply multiply two expression and divide the first by the the second
(8×105)/(8×10^-1)= 1050
Starting with the number 10, build a sequence of 5 numbers
Answer:
10, 11, 13, 16, 20
Step-by-step explanation:
Any 4 numbers can be added to the sequence starting with 10. Perhaps you're supposed to use a rule to choose the numbers. For any 4 numbers you might add to the sequence, a rule can be determined.
The rules we usually use are ones that require a constant difference or a constant ratio. The sequence shown above uses the rule that the difference from the previous value is 1 more than the difference between the previous two values.
Draw a figure that could be named ZLMN.
Answer:
hope this is the correct figure for your question
.-4(8 -c) - (3c + 7)
Answer:
c-39 is the answer
Step-by-step explanation:
multiply the numbers that are in bracket
-4(8-c)-(3c+7)
the answer will be this
-32+4c-3c-7
ARRANGE IN LIKE TERM
-32-7+4c-3c
c-39 is the answer
Hope it is helpful for you
follow me and mark me as a brainest
Can you find the cube
root of a negative number if so I’d it positive or negative
Step-by-step explanation:
Yes. The cube root of a negative number will be negative.
For example, (-2)^3 = -8. The cube root of -8 is -2.
Answer:
Yes, it would be negative
Step-by-step explanation:
Yes, the cube root of a negative number can be found without using imaginary numbers to represent it.
The cube of a number is that number multiplied by itself 3 times so:
a^3 = a*a*a
if "a" is negative then the cube of "a" will be negative. Hence the cube root of a negative number will be negative.
What value of g makes the equation true? –11 –3 3 11
Answer:
3
Step-by-step explanation:
(x + 7)(x - 4)
= x · x + x · (-4) + 7 · x + 7 · (-4)
= x² - 4x + 7x - 28
= x² + 3x - 28
Hence, g = 3.
Answer:
C. 3
Step-by-step explanation:
Got it right on edge
zfgffdhzgdfghdhuifhdSUGhdioghfiSGjDIHjtihgjDPIddh
Answer: :P
adjfdfdjskfabdklnfkbsb;dowafdsbkcbsnbw;abbu;rgsdj;sk
What are the x-intercepts of the graph of the function f(x) = x^2 + 4x – 12?
(-6,0). (2.0)
(2. -16). (0, -12)
(-6.0), (2, -16), (2, 0)
(0.-12).(-6, 0), (2, 0)
Answer:
(- 6, 0 ) , (2, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
x² + 4x - 12 = 0 ← in standard form
(x + 6)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 2 = 0 ⇒ x = 2
Thus the x- intercepts are (- 6, 0 ), (2, 0 )
Aiden had saved $22 before he earned $25 mowing a lawn . He then spent $32 on a suitcase . How much money does he have now? Explain how you found your answer
Answer:
$15
Step-by-step explanation:
22+25=47
47-32=15
So Aiden has $15.
Determine how many solutions the equation has. If one solution, state the value of x. 4(x – 3) = 2x + 2x – 6 – 6
Answer:
infinite solutions
Step-by-step explanation:
Given
4(x - 3) = 2x + 2x - 6 - 6 ← distribute left side and simplify
4x - 12 = 4x - 12
Since both sides are equal then the equation has an infinite number of solutions.
Answer:
I S
Step-by-step explanation:
What is 159 x 7 = ?
Answer:
the answer is 1,113 my friend
Answer:
the answer is 1,113
Step-by-step explanation:
you just multiply 159 times 7 and it gives you 1,113
Simplify this numerical expression: 17 - 5 · 2 + 3
Answer:
10
Step-by-step explanation:
17 -5 times 2 + 3
Step 1:
17 - 10 + 3
Step 2:
7 + 3
Step 3:
10
Answer:
10
Step-by-step explanation:
Equation:
17 - 5 times 2 + 3
First Step:
Multiplying is first in the order of operations so
17 - 10 + 3
Second Step:
Then adding and subtracting are the same so you do the equation left to right
7 + 3
Answer:
Then you just add it
10
How does the graph change from point G to point K?
Answer: D
Step-by-step explanation: sub to my yt clizey
Answer:
(D)
Step-by-step explanation:
when the whole p is divided by 18 ,24or30 the remainder is 3. Find the least value of p
Answer:
p=363
Step-by-step explanation:
First we take L.C.M(18,24,30)
=>L.C.M=360
=>now add 3 to 360=360+3=363
=>p=363
need answers asap (-0.5)(-1.2)(-5.222)
Answer:
-3.1332
Step-by-step explanation:
-0.5x-1.2=0.6
0.6x5.222=-3.1332
I keep forgeting this. would someone remind what is 1/2 is in decimal form please?
Answer:
.5
Step-by-step explanation:
Hope this helps.
a door with width 4.20 m has an arc as shown in diagram .Find: a) radius of the arc B) length of the arc to the nearest cm
Answer:
Ok, we know that the width of the door is 4.20m.
Then, if the arc is at the top of the door, we will have that the diameter of that "half circle" will be equal to the width of the door.
Then the diameter of the arc is 4.20m
And the radius is defined as half of the diameter, so we have:
radius = 4.20m/2 = 2.10m
And we can write this in cm (because the probelm ask for it)
1m = 100cm
then 2.10m = 2.1*100cm = 210cm
Now, we know that the perimeter of a circle is:
P = 2*pi*r
where pi = 3.14
Then the perimeter (or arc) of half a circle will be half of that:
Arc = (2*pi*r)/2 = pi*r
and r = 210cm, pi = 3.14
Arc = 3.14*210cm = 659.4cm
Dan rolls 2 fair dice and adds the results from each. Work out the probability of getting a total more than 3.
Answer:
1/2, or 50%
Step-by-step explanation:
1 Dice has 6 possible outcomes, rolled twice equal 12 "different" outcomes, since there are 3 numbers that are 3 or below, and 3 numbers about 3, then the change of getting a number above three is 1 in 2.
(01.01 MC)Why is 1 + (−5) equal to −4? I NEED HELP ASAPPPP
Answer:
Hey there!
1+(-5)=1-5
1-5 = -4
Let me know if this helps :)
by which when 625 is divided , will make the quotient a perfect cube
Answer:
[tex]\boxed{\bold{\huge{\boxed{5}}}}[/tex]
Step-by-step explanation:
625 when divided by 5 gives 125 which is a perfect cube.
=> [tex]\sf \frac{625 }{5 } = 125[/tex]
[tex]\rule[225]{225}{2}[/tex]
[tex]\sf \ \sqrt[3]{125} = 5[/tex]
So, 5 needs to be divided by 625 to make the quotient a perfect cube!
Which functions are the same as their inverse functions
Answer:
we need to so the functions
Step-by-step explanation:
what is the value of the product {3-2i][3+2i}
Answer:
13
Step-by-step explanation:
Step 1: Write out expression
(3 - 2i)(3 + 2i)
Step 2: FOIL
F - 9
O - 6i
I - -6i
L - -4i²
Step 3: Combine
9 + 6i - 6i - 4i²
Step 4: Combine like terms
9 - 4i²
Step 5: Simplify
i² = -1
9 - 4(-1)
9 + 4
13
Order number from least to greatest 25, 3.7, 1 2 , -4, -9 4
On a number line, suppose the coordinate of A is 0, and AR = 6. What are the possible coordinates of the midpoint of AR?
The possible coordinates for midpoints of the segment are
?
Answer:
The possible coordinates of the midpoint are 3 and -3
Step-by-step explanation:
The given information are;
The coordinate of the point A on a (horizontal) number line = 0
The length of AR =
The coordinate of the midpoint of AR are given as follows;
Coordinate of the midpoint = Coordinate of A ± (Length of AR)/2 which gives;
The possible coordinates of the midpoint as 0 + 6/2 = 3 or 0 - 6/2 = -3
The possible coordinates of the midpoint are 3 and -3
A discounted amusement park ticket costs $12.95 less than the original price p. The discounted price is $44 what would be the equation: blank= 44
Answer:
29
Step-by-step explanation:
showing what equal it is to it
when you are adding 5+2 what do you get?
Answer:7
Step-by-step explanation:
5+2=7
(b) If you put $9050 in the ATM each day, what percent of the days in a month should
you expect to run out of cash?
Answer:
23.33%
Step-by-step explanation:
The computation of the percentage of days in a month for running out of cash is shown below:
Percentage of running out of Cash is
= (Relevant Occurrence of an event ÷ Total number of events) × 100%
where,
The Relevant occurrence of an event is 7 (105,94,101,98,94,96,92)
And, the total number of events is 30 i.e. 30 days
So, the percentage is
= 7 ÷ 30 × 100
= 23.33%