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%.
.
What is the solution set of 4x = y and 2x - y=0
Answer:
x = 0 , y = 0
Step-by-step explanation:
given:
[tex]4x = y \\\\2x - y = 0\\\\Substitute \ y\ =\ 4x\ in \ second \ equation :\\2x - 4x = 0\\\\-2x = 0\\\\x = 0, \\y = 0[/tex]
What is special about the factored form of answer N-16x2 - 1?
Answer:
Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.
Step-by-step explanation:
Every time you have a difference in the format of
A2−B2 you can factor as (A−B)(A+B).
Then you have to identify if your quantity is the difference of two squared quantities.
It is. In fact we can write it as:
16x2−1=(4x)2−12
Then we can apply our rule
[tex] {(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)[/tex]
For the figure shown, find m<1.
Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
So, 56 + 58 + x = 180
114 + x = 180
x = 116
Now ∠ 1 + ∠x = 180 [ straight line angles]
∠ 1 + 66 = 180
∠1 = 180 - 66 = 114°
OR
You can use the rule : Exterior angle = sum of 2 interior opposite angles.
56 + 58 = ∠1
114 = ∠1
Solve for x in the triangle round your answer to the nearest tenth
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
x = 9.32
Step-by-step explanation:
For a right angles triangles , we can use trigonometry equations :-
In this case , we need to use sine equation in perpendicular :
sin θ = opposite side / hypotenuse
sin 58° = x / 11
x = sin 58 ° × 11
x = 0.84 × 11
x = 9.32852906
Round nearest tenth = 9.32
Solve 3x2+7x+1=0 using the quadratic formula.
Answer:
[tex]x=\frac{-7+-\sqrt{37} }{6}[/tex]
Step-by-step explanation:
This (±) goes between the [tex]-7[/tex] and [tex]\sqrt{37}[/tex]
[tex]3x^{2} +7x+1=0[/tex]
[tex]ax^{2} +bx+c[/tex]
[tex]-b[/tex] ± [tex]\sqrt{b^2-4ac}[/tex]/2a
[tex]-7[/tex] ± [tex]\sqrt{(7)^2-4(3)(1)}[/tex]/2(3)
[tex]-7[/tex] ± [tex]\sqrt{49-12}[/tex]/6
[tex]-7[/tex] ± [tex]\sqrt{37}/6[/tex]
See image for question. Please show workings.
Sorry for the wobbly writing.
*freq= frequency.
Answer:
See below and attachedStep-by-step explanation:
Refer to the graph attached1. The mean is calculated using below table
Marks Frequencies Midpoint Product
10 to 14 18 12 216
15 to 19 9 17 153
20 to 24 11 22 242
25 to 29 25 27 675
30 to 34 14 32 448
35 to 39 3 37 111
Sum 80 1845
The mean is:
1845/80 ≈ 232. The mode is the midpoint of the tallest bar.
The mode is
(25 + 29)/2 = 273. The median is the middle of the data set. The number of frequencies is 80, the middle frequency is number 40, which is within the 25 to 29 bar.
Formula to calculate median:
L + ( (n/2 – F) / f ) * wwhere
L: The lower limit of the median group = 25 n: The total number of observations = 80 F: The cumulative frequency up to the median group = 18 + 9 + 11 = 38 f: The frequency of the median group = 25 w: The width of the median group = 29 - 25 = 4Substitute values and calculate:
25 + ((80/2 - 38)/25) *4 = 25.32Malloy solved the equation-5x-16=8 his work is shown below. Identity the error and where it was made. Step 1: -5x-16+16=8+16 Step 2: -5x=24 Step 3: -5x/5=24/5 Step 4: x=24/5
Answer:
he divided both sides by 5 instead of -5 in his last step
Step-by-step explanation:
Given the expression solved by max expressed as;
-5x - 16 = 8
Step 1: Add 16 to both sides
-5x - 16 + 16 = 8 + 16
-5x = 24
Step 2:
Divide both sides by -5
-5x/-5 = 24/-5
x = -24/5
According to Malloy calculation, he divided both sides by 5 instead of -5 in his last step
Given m || n, find the value of x and y
Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
PLZZZZ NEED HELP!!!
Which answer choices correctly describe the points labeled A, B, and C in the box plot?
the question= find the percent of each number
1.) 78% of 160
2.) 12% of 325
also could u put an explanation
Answer:
78 x 160 /100
= 124.8
12 x 325/100
= 39
Step-by-step explanation:
Which ordered pairis a solution to the system of inequalities graphed here
Answer:
B. (1,4)
Step-by-step explanation:
If you go over to the right by 1 and up by 4 the point will land inside the blue, hence it is the answer since the rest do not land inside the blue.
Write an
explicit formula for An, the nth term of the sequence 5,-1, -7,....
Answer:
-6n + 11
Step-by-step explanation:
The difference between each number is 6 (-6)
If n=1 then -6n + 11 =5
If n=2 the (-6×2) + 11 = -1
If n=3 the (-6×3) + 11 = -7
and so on.
You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.
:]
Congruent angle pairs : Find m
Answer:
75
Step-by-step explanation:
x+60 and 5x are vertical angles, which means they are equal
x+60 = 5x
Subtract x from each side
x+60-x = 5x-x
60 = 4x
Divide by 4
60/4 = 4x/4
15 =x
We want to find x+60
x+60
15+60
75
Answer:
∠GH = 75°
Step-by-step explanation:
x + 60° = 5x° ( vertical angles )
subtract x from both side
x - x + 60° = 5x - x
60° = 4x
divide each side by 4
60°/ 4 = 4x / 4
15 ° = x
To calculate, ∠GH
∠GH = x + 60 °
15 ° + 60° .. ( x = 15°)
= 75°
Quadrilateral ABCD underwent a sequence of transformations to give quadrilateral ABCD. Which transformations could have taken place?
Answer:
The answer is "A 10 units down traduction, following by 8 pieces right traduction".
Step-by-step explanation:
Even as the changed image is similar to the original picture in rotation, reflections, and translations, so every point would be modified so that the examination of each point will provide several changes performed.
Consideration of paragraph A(-6, 4).
When a point (x, y) k is transferred down, it becomes (x, y-k).
So when 10 units are converted to A, it becomes (-6, -6).
When the point (x, y) k units are translated, it becomes (x+k and y)
This manner, it gets 8 units (-6, -6) to the right point (2, -6)
These are the A' coordinates.
Thus, quadrilateral ABCD was subjected to 10 further units of translation and 8 to the left. translations .
|2x+3|=7;2
help pls
Answer:
x = {-5, 2}
Step-by-step explanation:
unfamiliar with the notation 7;2
will solve for |2x + 3| = 7
Solution I - the quanity inside the absolute value is 7
2x + 3 = 7
2x = 4
x = 2
Solution II - the quanity inside the absolute value is –7
2x + 3 = –7
2x = -10
x = -5
-----------------
x = {-5, 2}
i need help with this!
Answer:
surface area of the square pyramid
=(10×10)+(2×10×8)
=100+160
=260 yd²
answer is first option
Enter a range of values for x.
=============================================================
Explanation:
Ignore the sides that are 'a' units long.
We'll compare the sides that are 26 units and 27 units long. We see the 27 unit side is larger, which makes the 93 degree angle larger than the 3x-9 degree angle.
Symbolically, we would say
3x-9 < 93
At the same time, the 3x-9 is also larger than 0
So
3x-9 > 0 or 0 < 3x-9
Put together, we can form this compound inequality
0 < 3x-9 < 93
-------------------
Let's isolate x like so
0 < 3x-9 < 93
0+9 < 3x-9+9 < 93+9 .... add 9 to all sides
9 < 3x < 102
9/3 < 3x/3 < 102/3 .... divide all sides by 3
3 < x < 34
x is any number between 3 and 34, but cannot equal either endpoint
For example, x = 10 is valid since 3 < 10 < 34 is true. But x = 50 is not a solution since 3 < 50 < 34 is false. We can't have x = 3 and we also can't have x = 34 either, but we can have anything in between those endpoints.
The value of a Van Gogh painting increases by 7.3% each year. If it was valued at $94,000 in 1952, what will be its estimated worth in 2020?
Answer:
$11,321,630
Step-by-step explanation:
We solve using Exponential growth formula
A(t) = Ao (1 + r)^t
Ao = Initial worth = $94,000
r = Growth rate = 7.3% = 0.073
t = Time in years = 2020 - 1952
= 68 years
A(t) = Current worth in 2020 = After 68 years
A(t) = 94000 × ( 1 + 0.073)^68
A(t) = 94000 × 120.44286946
A(t) = 11,321,629.729
Therefore, the estimated worth of the Van Gogh painting in 2020 approximately = $11,321,630
You are taking a university course with a combined graduate and undergraduate enrollment. You know that there are many more undergraduate than graduate students enrolled in this course. There is a woman who looks to be about thirty sitting next to you. If you use only the base rate to guess her student status, you would guess that she is a(n) __________ student because __________.
Answer:
She is an undergraduate because more undergraduates are enrolled
Step-by-step explanation:
From the question, we understand that:
Undergraduate > Graduate
This represents the base rate
So, when taking a guess using the base rate, your guess will be that: the woman is an undergraduate.
The reason for this is that you know that there are more undergraduates than graduates enrolled in the course.
Please help thanks!
Answer:
10
Step-by-step explanation:
=13+ 3^3 ÷9 we can change it to:
=13+ 3^3/-9
3^3 can be changed to 27
13+ 27/9
=13+−3
=10
Plz I need help with this question
Black pens come in boxes of 12. Blue pens come in boxes of 10. Red
pens also come in boxes of 10. You need a total of 50 of each color of
pen. You have 2 boxes of black pens, 3 boxes of blue pens, and 1 box of
red pens. How many boxes of each color should you order?
Answer
12+10+10+50+2+3+1=88
Step-by-step explanation:
Answer:
Red pens: 4 boxes
blue pens: 2 boxes
black: 3 boxes
Step-by-step explanation:
{x+y=-4
{y=2x-1
Help please. Thanks in advance.
ILL GIVE YOU 5 STARS
Answer:
if the formela right
so this is the answer
These are some more questions
Can someone explain if this is correct. I’m unsure!
Answer:
Step-by-step explanation:
help with trigonometry plz
Answer:
Below,
Step-by-step explanation:
a. cos O = adjacent side/hypotenuse
= 88.3/117
= 0.75470
O = 41 degrees.
b. sin O = opposite side/hypotenuse
= 2.4/3.8
= 0.63158
O = 39 degrees
A jar contains black beads and green beads. Forty percent of the beads in the jar are green. A number generator simulates randomly selecting 10 beads from the jar. The number generator is used 12 times and the number of green beads in each trial is shown in the dot plot. Which description is correct about the number generator being fair or not? The number generator is not fair. The dot plot shows that 4 of 10 beads drawn are often green. The number generator is fair. The dot plot shows a distribution that is skewed right. The number generator is fair. It shows that 40% of the beads selected are green most of the time. The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.
Answer:
The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green
Step-by-step explanation:
Given
[tex]Pr(Green) = 40\%[/tex]
See attachment for plots
Required
Is the number generator fair or not
From the number line, we have the following outcomes:
[tex]0 \to 1[/tex]
[tex]1 \to 1[/tex]
[tex]2 \to 7[/tex]
[tex]3 \to 2[/tex]
[tex]8 \to 1[/tex]
Divide each outcome by 12, to get the proportion of green in each trial
[tex]0 \to 1[/tex] [tex]\to 8.33\%[/tex]
[tex]1 \to 1[/tex] [tex]\to 8.33\%[/tex]
[tex]2 \to 7[/tex] [tex]\to 58.33\%[/tex]
[tex]3 \to 2[/tex] [tex]\to 16.33\%[/tex]
[tex]8 \to 1[/tex] [tex]\to 8.33\%[/tex]
The above shows that the proportion of green in most of the trial is less than 40%
Hence, the number generator is not fair.
Answer:
D
Step-by-step explanation:
Find the interest rate if $6600 has
a final value of $8847 in 4 years.
Give your answer to 1 d.p.
Answer:
Interest = $ 2247.00
Step-by-step explanation:
principal=$6600
Amount=$8847
time=4 years
Interest=Amount - principal
=$8847 - $ 6600
=$2247 =
=$2247.00
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]