A job posting is searching for runway models to walk in a designer fashion show. The posting states that the preferred model should be no more than 2 inches away from being 5 feet 11 inches. Write and solve an absolute value inequality that can be used to determine the height range, in inches, of a preferred model. Graph the solution set on a number line.
Answers
Answer:
70 ≤ x ≤ 74
Step-by-step explanation:
5 feet 11 inches = (5 x 12 inches) + 11 inches
= 72 inches
Since the preferred model should not be no more than 2 inches away from 72 inches, then;
72 inches ± 2 inches
Let the required height be represented by x, the absolute value inequality is;
lx ± 2l ≤ 72
x + 2 ≤ 72
x ≤ 72 - 2
x ≤ 70
Also,
x - 2 ≤ 72
x ≤ 72 + 2
x ≤ 74
Therefore, the preferred height range in inches is;
70 ≤ x ≤ 74
The graph is herewith attached to this answer.
Related Questions
In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women who gave birth in 1989 at a hospital in Massachusetts. In the group, 74 of the women were categorized as smokers and 115 as non-smokers. The difference in the two sample mean birth weights (non-smokers minus smokers) is 281.7 grams and the 95% confidence interval is (76.5, 486.9). Which gives the best interpretation of what we can conclude about the impact of smoking on birth weight
Answers
Answer:
Given:
Total women - 189
Smokers - 74
Non-smokers - 115
The difference in 2 samples mean birth weight = 281.7 grams
95% confident that the mean weight = between 76.5 grams to 486.9
solution:
The best interpretation would be -
95% confident that the babies of nonsmokers have a mean weight between 76.5 grams to 486.9 grams which is much more than the babies of women smokes by comparing smokers to nonsmokers from given data.
feel relax and free to ask me any math related question.
Answers
7 What is the unit rate of miles to gallons?
Answers
Hope this helps!
(5a^2 + 3) (4a^2 + 3)
Answers
Answer:
204+272+9
Step-by-step explanation:
An elevator rises steadily up a skyscraper. After 4 s it is 33 m above the ground, 2 s later it is 47 m above the ground. Which equation models its position, y, with respect to time, x?
A. y-47= -7(x-2)
B. y+33=7(x+4)
C. y-33= -7(x-4)
D. y-33=7(x-4)
Answers
Answer:
C
Step-by-step explanation:
It would be c i took the test:)
The required equation model would be y - 33 = -7(x -4) which is the correct answer would be option (C).
What is the slope of the line?A line's slope is defined as its inclination. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider Points 1 and 2 on a line. Point 1's coordinates are (x₁ , y₁), and Point 2's coordinates are (x₂, y₂).
Given that the continuously rising building is an elevator. It is 33 meters above the ground after 4 seconds, and 47 meters above the earth after 2 seconds.
Let the required equation model would be as:
y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]
x₁ = 4, y₁ = 33
x₂ = 2, y₂ = 47
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]
Substitute values in the equation, we get
⇒ y - 33 = (47-33)/(2-4 )[x -4]
⇒ y - 33 = 14/(-2 )[x -4]
⇒ y - 33 = -7(x -4)
Therefore, the equation model is y - 33 = -7(x -4).
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the riding lawn mower that alejandro has on his farm has the top speed of 8 km/h. What is a lawn mowers top speed in meters per hour?
Answers
Answer:
Step-by-step explanation:
800
Answer:
oh we late
Step-by-step explanation:
3/4 a - q = k, solve for a
Answers
Answer: a = 4k + 4q ÷ 3
Step-by-step explanation:
What Expression is equivalent to *
-1/2 (4x + 12)
Answers
Explanation. An expression equivalent to -1/3 (4x + 12) would be -2 (-2x - 6) if we solve for both, we find that the answers are the same. let me know if i’m correct so others can use this answer as well :)
good luck.
What is the point of an object where the force of gravity is considered to act?
Answers
Answer:
center of gravity
Step-by-step explanation:
Getting doubles when two dice are rolled.
Answers
Answer:
Make sure you pass go!!!!!!!
Step-by-step explanation:
1. The sum of the angle measures in a triangle is 180°. Two angles of a triangle measure 20° and 50°. What is the measure of the third angle?
Answers
18.75 + (12.8 x 3) - 16.28
Answers
Answer: 40.87
Step-by-step explanation:
Answer: 40.87
Step-by-step explanation:
First you would do 12.8x3 because it’s in parentheses you would then get 18.75 + 38.4 - 16.28. You would then do 18.75 + 38.4 and get 57.15 then subtract 16.28 from that and get your final answer 40.87
Quadrilateral PQRS is transformed by translating it 6 units to the right and then rotating it 90° clockwise
about the origin. Which coordinate pairs represent vertices of P'Q'R'S' after these two transformations?
Answers
Answer:
(y, -x -6)
Step-by-step explanation:
The coordinates of PQRS is not given, however we'll assume the coordinates of PQRS to be (x,y)
The first transformation: 6 units right
[tex](x,y) -> (x + b, y)[/tex]
Where b = 6
So, the new coordinates will be
[tex](x + 6, y)[/tex]
The second transformation: 90° clockwise
[tex](x,y) -> (y,-x)[/tex]
So, the new coordinates will be
[tex](x + 6, y)-> (y, -x -6)[/tex]
Hence, the new coordinates of PQRS is (y, -x - 6)
Number 9 please is each triangle a right triangle? EXPLAIN
Answers
It is not because a right triangle needs one right angle, and a right angle is 90 degrees
Step-by-step explanation:
Answer:
A right triangle is a triangle in which one of the angles is a 90∘ angle.
Step-by-step explanation:
The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
What is the interquartile range of the following data set?
37, 27, 48, 96, 61, 84, 29, 1, 72, 5, 34
A. 64
B. 37
C. 10
D. 45
Answers
Answer:
The answer is D, 45.
Step-by-step explanation:
How to find the Interquartile Range
Order the data from least to greatest.Find the median.Calculate the median of both the lower and upper half of the data.The interquartile range is the difference between the upper and lower medians.After doing that, write out your list, and and subtract the medians to get 45.
Answer:
D
Step-by-step explanation:
Is this nonlinear?
S
Answers
Answer: it seems to be Liner
Step-by-step explanation:
Has a Constant rate
A rod with the density sigma(x) = 3 + sin(x) lies on the x-axis between x=0 and x = 3pi/4 find the center of mass of the rod
Answers
Answer:
10.7 grams
Step-by-step explanation:
hey there, again!
this is a similar process the mass is denisty*area HOWEVER keep in mind it's flat so the area is just x deltax while denisity is 3 + sin(x)
mass of rod = integral 0 to 3pi/4 of (3 + sin(x))*x deltax
= integral 0 to 3pi/4 of 3x + xsin(x) deltax
= 0 to 3pi/4 [3/2*x^2 + x(-cos(x)) + sin(x)]
= 10.7 grams
Jeff and Brett both play basketball at the country club. Jeff is a
member, so he pays $64 a month and $2 each times he plays. Brett
is not a member, so he pays $10 each time he plays.
a. After how many visits to the basketball court will Jeff and Brett's
bills be the same amount?
Answers
Answer:
8 times
Step-by-step explanation:
2 x 8 = 16
64 + 16 = 80
10 x 8 = 80
help help helplgehiog
Answers
Answer:
23
Step-by-step explanation:
117 - 94 should be the correct answer
estimate 8.2x6.7 divided by 0.46
Answers
Answer:
Well, the correct answer is 119.4347826086956521739130 (after the 130 the whole decimal is repeated.
Step-by-step explanation:
Although if your assignment is asking for an estimate you could probably just say 119 since the first and second decimal is less then 5
The estimation of the expression 8.2 × 6.7 divided by 0.46 is approximately 112.
What is estimation?It is a rough calculation of the value, number, quantity, etc. It doesn't use real calculation but estimation by some method like prediction, using approximation etc.
For this case, we've to esimate the value of the expression:
[tex]E = \dfrac{8.2 \times 6.7}{0.46}[/tex]
Instead of using exact values, let we use:
[tex]8.2 \approx 8\\6.7 \approx 7\\0.46 \approx 0.5 = 1/2[/tex]
Then, we get:
[tex]E = \dfrac{8.2 \times 6.7}{0.46} \approx \dfrac{8 \times 7}{1/2} = 2 \times 8 \times 7= 2 \times 56 = 112[/tex]
Thus, the estimation of the expression 8.2 × 6.7 divided by 0.46 is approximately 112.
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Let f(x)=x2−16 and g(x)=15−x. Perform the composition or operation indicated.
(fg)(7)
Answers
Answer:
[tex](2x - 16)(15 - x) \\ (2(7) - 16)(15 - 7) \\ (14 - 16)(8) \\ ( - 2)(8) \\ = - 16[/tex]
The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.
Answers
Answer:
5.31
Step-by-step explanation:
Given the regression line equation, [tex] y = 10 - 0.67x [/tex], where,
x = number of slices of pizza eaten
y = number of laps run immediately
Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:
[tex] y = 10 - 0.67x [/tex]
[tex] y = 10 - 0.67(7) [/tex]
[tex] y = 10 - 4.69 [/tex]
[tex] y = 5.31 [/tex]
La representacion algebraica de 8 menos que cinco veces un numero es
Answers
Responder:
Tu ecuación debería verse así, 5⋅n − 8
Explicación paso a paso:
No se puede hacer nada más con este tema. Verifique la expresión ingresada o pruebe con otro tema.
A bird goes from a higher location to a lower location at a
rate of 3 meters per second.
Which equation models the change in the bird's position at 120 seconds?
Answers
Answer:
The answer is 120(-3)= -360
Step-by-step explanation:
Apex Learning!
So the answer is the NEGATIVE 360!!
Answer:
120(-3)=-360
Step-by-step explanation:
A 16-cup carton of ice cream costs $26.72. What is the price per pint?
Answers
Answer:
$3.34
Step-by-step explanation:
the student council is selling a dozen donuts for $15. what is the unit cost?
Answers
Answer:
$1.25
Step-by-step explanation:
15 divided by a dozen (12) is 1.25
Have a great day!
Answer:
$1.25.
Step-by-step explanation:
15/12 = $1.25
68,347 rounded tp the nearest hundred
Answers
How can I solve 7y + (-5y)
Answers
Answer: 2y
Step-by-step explanation:
Adding a negative number is the same as subtracting by that number. In this case,
7y + (-5y)
is equal to
7y - 5y
Jesse and Peyton were on scooters jesse traveled 15 in 6 seconds peyton travels 22 meters in 10 seconds who was moving faster? explain your reasoning
Answers
9514 1404 393
Answer:
Jesse
Step-by-step explanation:
Jesse's distance in 60 seconds would be ...
(60 s)(15 m)/(6 s) = 150 m
Peyton's distance in 60 seconds would be ...
(60 s)(22 m)/(10 s) = 132 m
Jesse travels farther in the same amount of time, so Jesse is moving faster.
__
You might find it simpler just to compute the rate of each.
Jesse: (15 m)/(6 s) = 2.5 m/s
Peyton: (22 m)/(10 s) = 2.2 m/s
Jesse's speed is higher.
if there ar 10 people in the bus
and 5 get off
and 40 more come in
total people in the bus can be only 30
is the number people in bus more than toatal people or less
Answers
Answer:
no there are more people than total people
Step-by-step explanation:
10 - 5 + 40 = 45
45 is frater than 30
hence there are more people than total