The IQ scores of the middle 50% of a population can be written as the one above
Where x is a person’s IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.
Answers
Answer:
90≤x≤110
Step-by-step explanation:
Given two inequality |x-100/15|≤2/3
The modulus value can be negative or positive
For the postive value. x-100/15≤2/3
Cross multiply
3(x-100) ≤30
3x-300≤30
3x≤330
x≤110
For the negative value;
-(x-100)/15≤2/3
100-x/15≤2/3
3(100-x) ≤30
300-3x≤30
-3x≤-270
x≥90
90≤x
Combining both inequalities.
90≤x≤110
Related Questions
Find the value of X for the given pentagon?
Answers
Answer:
x = 44°
Step-by-step explanation:
The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.
Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.
To find the missing angle, first write an equation representing the given rule:
102° + 47° + 34° + 133° + x° = 360°
(316°) + x° = 360°
316° + x° - 316° = 360° - 316°
x° = 44°.
This way, because the rule must be true, the missing angle with this value will satisfy this:
102° + 47° + 34° + 133° + 44° = 360°
For this topic, here are some general angle rules for polygons:
n is the number of sides180° (n – 2) = sum of interior angles of any polygon.180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].360° = sum of exterior angles of any polygon.360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].Find the length of a rectangular lot with a perimeter of 144 m if the length is 6 m more than the width. A. 72m B. 39 m
C. 33 m
D. 78 m
Answers
He did on D. 78 m
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Answer:
Correct Answer is B
39 m
Step-by-step explanation:
Perimeter is the sum of all sides, and if the length is 6m more than the width, then is 39
39 + 39 = 78
144 - 78 = 66
66/2 = 33
39m is 6m more than 33m.
The sum of all sides 39 + 39 + 33 + 33 = 144
Jessica sold half of her comic books and then bought 9 more. She now has 13. How many did she begin with?
Step 1: Define your variable(s)
Step 2: Write an equation.
Step 3: Solve your equation.Step 5: Write a summary statement explaining your solution in the context of the problem..
Step 4: Check your solution.
Step 5: Write a summary statement explaining your solution in the context of the problem..
please helpp me .
Answers
Answer:
She started with 8 books.
Step-by-step explanation:
What if a fence painting competition allowed pairs to compete? If Ben Rogers can paint the fence in 8 min on his own and Johnny Miller can paint it in 6 min, then how long would it take them working together?
If Ben can paint a single coat of the fence in 8 min, then how much of the fence could Ben paint in 1 min?
If Johnny can paint a single coat of the fence in 6 min, then how much of the fence could Johnny paint in 1 min?
If Ben and Johnny work together to paint a single coat of the fence, then let t represent the amount of time they each spend painting. What operation should be used to set up an equation that represents how long they would take to paint a single coat of the fence?
Solve the equation for t. How long will it take Ben and Johnny to paint the fence? Round your answer to the nearest tenth of a minute.
Answers
Answer:
I'm confused on what it's asking
Step-by-step explanation:
Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.
Answers
Answer:
Step-by-step explanation:
3.8-2.923
Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.
PLEASE ANSWER I AM ON A TIMED TEST
What value of b will cause the system to have an
infinite number of solutions?
y = 6x - b
-3x+ 1/2=-3
b =
A 2
B 4
C 6
D 8
Answers
Solve 14+3n=5n−6 . Check your solution.
n= __
Answers
Answer:
N = 10
Step-by-step explanation:
Subtract 3n from both sides
14 = 2n - 6
add 6 to both sides
20 = 2n
divide by 2
n = 10
Answer:
n = 10
I hope this helps!
Which of the following statements about the congruent triangles below is true?
A.) AB=DE
B.) AC=EF
C.) AC=DE
D.) BC=DE
Answers
Answer:
AB=DE
Step-by-step explanation:
they're literally the only pair on the same sides lol
The side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have two triangles shown in the picture.
As we know from the definition of the congruent triangle, the same size, and shape.
The three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle
Thus, the side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
Learn more about the congruent triangle here:
brainly.com/question/12413243
#SPJ5
Given 1 || m ||
n, find the value of x.
m
140°
n
(8x+12)
Answers
Answer:
x = 16
DISREGARD 16.5 MY BAD the answer is 16
Step-by-step explanation:
140 = 8x+12
Subtract 12 on both sides
128 = 8x
Divide by 8
16 = x
x = 16
Answer:
x = 16
Step-by-step explanation:
(8x + 12)° = 140°
8x + 12 = 140
8x = 128
x = 128 ÷ 8
x = 16
The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 2 ft shorter than twice the Maple Street side. The Maple Street side is 12 ft shorter than half the Main Street side. The Main Street side is 210 ft.
Answers
Answer:
Step-by-step explanation:
1. 93
2.184
what are the solutions to the equation |2x+8|-14?
Answers
Answer:
Step-by-step explanation:
Factor out the common term 2.
|2(x+4)|-14∣2(x+4)∣−14
the sum in the form a(b+c) such that the integers band chave no common factor.
99 +33
Answers
Answer:
33(3+1)
Step-by-step explanation:
Find the GCF of 99 and 33
99=3^2•1133=3•11So the GCF is 3•11=33Factor 33 out
33(3+1)When simplified, which of the following expressions has a coefficient of 5?
-4x - 9x
-4x + 9x
4x - 9x
4x - (-9x)
please help
Answers
Answer:
It would be -4x +9x
Step-by-step explanation:
-4 +9 is 5 so they combine since they are like terms. Therefore the coefficient would be 5.
What is the first step in solving this problem?
⅘ + ½ =
Answers
Answer:
Find the least common denominator, which is 10.
Entrance to a skatepark costs $6 per vehicle, plus $2 per person in the vehicle.
Is the relationship between the number of people and the total entrance cost a proportional relationship? EXPLAIN HOW YOU KNOW.
Hint: Create a table to organize the information.
Answers
Answer:
Yes, it is a proportional relation ship because 6 and 2 are equivalent to each other.
Step-by-step explanation
can someone please help me?? i’ll make you a brainliest.
Answers
Answer:
-4/1
Step-by-step explanation:
Answer:
i;m pretty sure your answer is -4/1
Step-by-step explanation:
i hope this helped you
Ennis ran 3 miles in 20 minutes and continues running at this rate for 1 hour. Cindy ran 6 miles in 30 minutes and continues running at this rate for 1 hour.
Answers
Answer:
Ennis=9 milesCindy=12 milesStep-by-step explanation:
Step one:
given data
For Ennis
distance covered= 3 miles
time taken = 20 minutes
Hence Ennis speed is
velocity= distance/time
velocity= 3/20
velocity=0.15miles per minutes
Therefore in 1 hour that is 60 minutes the distance she will cover is
distance= velocity * time
Distance= 0.15*60
Distance= 9 miles
Step two:
For Cindy
distance covered= 6 miles
time taken = 30 minutes
Hence Cindy speed is
velocity= distance/time
velocity= 6/30
velocity=0.2miles per minutes
Therefore in 1 hour that is 60 minutes the distance she will cover is
distance= velocity * time
Distance= 0.2*60
Distance= 12 miles
Henry has a faulty watch. It is losing minutes every day. How many minutes will be lost after 7 days?
A.
21 minutes
B.
10 minutes
C.
3 minutes
D.
34 minutes
Answers
Answer:
A: 21 minutes
Step by step explanation:
If he loses 3 minutes everyday then it would be A because 7 days times 3 minutes he loses everyday equals 21 minutes.
Evaluate -8 - 21.
-10
-16
16
10
Answers
Answer:
Evaluate -8 - 21.
-10
-16
16
10
Line m passes through points (10, 10) and (2, 1). Line n is perpendicular to m. What is the
slope of line n?
Answers
Answer:
-8/9
Step-by-step explanation:
my work is in the picture above. lmk if you'd like me to explain more
The slope of line [n] would be -8/9.
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have line [m] passes through points (10, 10) and (2, 1).
We can write the equation of line [m] as follows.
slope of line [m] = a = (1 - 10)/(2 - 10) = -9/-8 = 9/8
a = 9/8
slope of line [n] -
m[n] x a = - 1
m[n] = -1/a
m[n] = -8/9
Therefore, the slope of line [n] would be -8/9.
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
(-2, -3)and (-5, -3) ?
Answers
Answer:
slope is zero equation is y=-3
Step-by-step explanation:
since there is no change in y and they cancel out so you just 0.
What is the gfc of 24 and 36
Answers
Answer:
6 is the gfc
Step-by-step explanation:
hope this helped :-)
Answer:
it is -
Step-by-step explanation:
PLEASE HELP ITS EASY MATH
Workers install 600 chairs at a constant rate. After 4 days, the workers still have to install 360 chairs. How much time does it take to install the chairs from start to finish?
Answers
Answer:
10
Step-by-step explanation:
Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.
So the will require 600 /60 =10 days from the start.
Can someone help me with this question please !!! Danica is saving money to buy a used car in six months. She needs to save $1500 for a down payment in order to be able to finance the rest. She gets paid $180 per week at her part-time job. How much money will she need to save out of every weekly paycheck to reach her savings goal of $1500 in six months? Show the calculations:
Answers
Answer:
She will have to work at least 83 times.
Step-by-step explanation:
Divide 1,500 by 180 and then to check answer multiply 180 with 83.
what is the GCF of 12 and 24
Answers
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Simplify the following expression.
5+((2*5) -7)^2 -9
Your answer:
1
5
-4
16
(HELP PLEASE!!!)
Answers
Answer:
the answer is 5
Step-by-step explanation:
Paula has 10 forks and 15 knives to place in silverware holders at the fast food restaurant where she works. She wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Paula can stock?
Answers
Answer:
that answer is 5 hope you get it right
Allison can jog 3 blocks in the same amount of time it takes her brother, Blake, to jog 2 blocks. If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?
Answers
Answer:
Blake will jog 12 blocks
Step-by-step explanation:
Allison : Blake = 3 : 2
If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?
Allison : Blake = 18 : x
Equate the ratios
3 : 2 = 18 : x
3/2 = 18/x
Cross multiply
3 * x = 2 * 18
3x = 36
Divide both sides by 3
x = 36 / 3
= 12
x = 12
Blake will jog 12 blocks
Answer:
12 blocks
Step-by-step explanation: she ran 12 blocks
a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why
answer and i’ll make your brainliest
Answers
Answer:
yes it will be able fit through
Step-by-step explanation:
simply divide 2197 and 3 because you need to multiply 3 number to get volume. For this you divide by 3. you should get 732 ft. This is the height. It will be more than enough to fit through
Seth's family plans to drive 220 miles to their vacation spot they would like to compare the drive in 4 hours
Answers
Answer:
i think the answer is 55.
Step-by-step explanation:
220 divided by 4 = 55.
Answer:
i don t think i completely understand but they drive 55 miles every hour
Step-by-step explanation:
if this is not your question plz clarify so i can help :)