The question requires calculating the perimeter of the rectangular r ug
The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
Given:
let
length of the rectangular r ug = x inches
Width of a rectangular r ug = (2x + 4 1/4) inches
Perimeter of the r ug = 56 1/2 inches
Perimeter of the r ug = 2(length + width)
56 1/2 = 2{x + (2x + 4 1/4)
113/2 = 2(x + 2x + 17/4)
113/2 = 2(3x + 17/4)
113/2 = 6x + 34/4
113/2 - 34/4 = 6x
(226-34) / 4 = 6x
192/4 = 6x
48 = 6x
divide both sides by 6
x = 48/6
x = 8 inches
So,
length of the rectangular r ug = x inches
= 8 inches
Width of a rectangular r ug = (2x + 4 1/4) inches
= 2(8) + 4 1/4
= 16 + 4 1/4
= 20 1/4 inches
Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
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https://brainly.com/question/10452031
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 87 and standard deviation = 25. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
Using the normal distribution, it is found that:
a) 0.8599 = 85.99% probability that x is more than 60.
b) 0.1788 = 17.88% probability that x is less than 110.
c) 0.6811 = 68.11% probability that x is between 60 and 110.
d) 0.0643 = 6.43% probability that x is greater than 125.
In a normal distribution 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]
It 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, which is the percentile of X.In this problem:
The mean is of 87, thus [tex]\mu = 87[/tex].The standard deviation is of 25, thus [tex]\sigma = 25[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 60, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 87}{25}[/tex]
[tex]Z = -1.08[/tex]
[tex]Z = -1.08[/tex] has a p-value of 0.1401.
1 - 0.1401 = 0.8599
0.8599 = 85.99% probability that x is more than 60.
Item b:
This probability is the p-value of Z when X = 110, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 87}{25}[/tex]
[tex]Z = 0.92[/tex]
[tex]Z = 0.92[/tex] has a p-value of 0.8212.
1 - 0.8212 = 0.1788.
0.1788 = 17.88% probability that x is less than 110.
Item c:
This probability is the p-value of Z when X = 110 subtracted by the p-value of Z when X = 60.
From the previous two items, 0.8212 - 0.1401 = 0.6811.
0.6811 = 68.11% probability that x is between 60 and 110.
Item d:
This probability is 1 subtracted by the p-value of Z when X = 125, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{125 - 87}{25}[/tex]
[tex]Z = 1.52[/tex]
[tex]Z = 1.52[/tex] has a p-value of 0.9357.
1 - 0.9357 = 0.0643.
0.0643 = 6.43% probability that x is greater than 125.
A similar problem is given at https://brainly.com/question/24863330
By which rule are these triangles congruent?
A)
AAS
B)
ASA
C)
SAS
D)
SSS
Answer:
A. AAS
Step-by-step explanation:
In both triangles, the line mn and jh are congruent, the angles k and g are congruent, and h and m are congruent.
Write the equation that shows the relationship in the table
Answer:
y= 20x
Step-by-step explanation:
[tex]40/2=100/5=200/10=20[/tex] linear function.
I hope this help you
the general solution of sinx + cosx =√2 is..??
The answer is A. x= [tex]\pi[/tex]/4 +2[tex]\pi[/tex]n
Answer:
the general solution has answer
2nπ+π/4
If 400 kids went to the amusement park and only 120 came back how many got lost?
Answer:
280
Step-by-step explanation:
400 - 120=280
280= number of children lost
solve pls brainliest
Answer:
4.5341 < 6.9 < 6.906 < 6.96
Step-by-step explanation:
4.5341 is closer to 0 than 6.96 is.
Karan uses
of a tin of baby food each day for her baby.
Karan and her baby are going on a 7-day holiday.
What is the least number of tins of baby food that Karan must bring with her?
Show your working.
What are the law of indices
Answer:
What are the laws of indices?
Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base. This means that the larger number or letter must be the same.
Step-by-step explanation:
The first law: multiplication
The second law: division
The third law: brackets
Negative powers
Power of zero
Fractional powers
Estimate and then solve 3397÷59
Will mark as brainlist
The title of the poem, "Poetry and Prose, 'is an example of antonyms. Poetry and prose are "opposite' ways of writing.
Search the poem to find the other antonym pairs. Ust the words in the order that they appear in the poem. There are
seven more pairs. Separate each word with a comma. For example: poetry, prose.
If it isn't a poem. It's prose:
And friends cannot be foes.
A package not heavy is light.
And after the day comes night.
if it's ap. it can't be down:
The country is never a town.
When asleep we aren't awake:
To give is never to take
ah, yes, college mathematics. how riveting
poem, prose
friends, foes
heavy, light
day, night
up, down
country, town
asleep, awake
give, take
I truly commend you on your pursuit of such higher level mathematics studies. Good luck!
HELP HELP EASY
Use a calculator to approximate cos 43° and round to
four decimal places.
Answer:
0.731353701619170483287543608275622403378...
Step-by-step explanation:
cos((43 π)/180)
UwU
It's verified you can trust
0.7315Is what you needed
Lisa bought a refrigerator on sale for 50% off the original price, for $235. What was the original price before the sale?
Answer:
470$Step-by-step explanation:
50% = 1/2
235 * 2 = 470
Given that f(x)= x^2+4, evaluate f(-2)
Answer:
f=-x^2/2-2
Step-by-step explanation:
There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards which proportion can be used to represent this?
oft
Answer:
3/1 or 12/4
Step-by-step explanation:
This is the case because all you are doing is converting it into a fraction.
. 3 feet to 1 yard- 3/1
.12 feet to 4 yards- 4/12
Balto” is a 6 year old 35 kg intact husky mix. He presents through the ER after likely being HBC (hit by car) with anisocoria and nystagmus, both signs of head trauma. The doctor instructs you to give 1 g/kg mannitol IV to decrease intracranial pressure. Mannitol is a 20 % solution. How many grams will “Balto” receive? How many mgs? How many mls?
If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
What is percent concentration?Percent is one of the ways of expression the concentration of a solute in a solvent. In this case, the concentration of the mannitol is 20%. This implies that there are 20 g of mannitol in 100 g of solution.
Thus, If we give 1 g/kg of mannitol, it then follows that Balto needs to receive 35g of mannitol.
Learn more about percent concentration:https://brainly.com/question/202460
#SPJ1
Select the correct answer.
An archway is modeled by the equation y = -2x2 + 8x. A rod is to be placed across the archway at an angle defined by the equation x − 2.23y + 10.34 = 0. If the rod is attached to the archway at points A and B, such that point B is at a higher level than point A, at what distance from the ground level is point B?
A.
8 units
B.
6 units
C.
5 units
D.
3 units
Answer:
D. 3 units
Step-by-step explanation:
after you add you get a another number you make a another unit and get your answer or you can get the answer of the another number and add it to together.
that what I think it is
The population of Westport was 43,000 at the beginning of 1980 and has steadily decreased by 1% per
year since.
Find the population at the beginning of 1994. Round to the nearest person.
Answer:
37356
Step-by-step explanation:
need help on homework plz and thank u :)
Answer: Its b
Step-by-step explanalson
becaues x always equals 7 in a factor
:)
Answer:
it is the second answer.
On Sunday a local hamburger shop sold a combined total of 231 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the amount of hamburgers sold. How many hamburgers were sold on Sunday?
Answer: 77 hamburgers
Step-by-step explanation:
You can write an equation for this problem
x= hamburgers
2x= cheeseburgers
x+2x=231
3x=231
x=77
Which of the following graphs represents a function?
Answer:
A and C
Step-by-step explanation:
A function has a unique y value for every unique x value
The vertical section disqualifies B
D has 2 y values for many x values.
4.72 × 3.4 equals what? Show work please ro gelp me understand
Type SSS, SAS, ASA, SAA, or HL to
describe these triangles.
Answer:
SAS
Step-by-step explanation:
There is one common side (S)
both the triangles have 90° common (A)
Opposite sides are equal which is given (S)
They both are right angled triangles
Serina and 2 friends go out for dinner. Their bill is $92.18. How much more would
they pay if they left a tip of 20% instead of a tip of 15%?
$9.22
$4.61
$6.91
$2.76
Answer:
$4.61
Step-by-step explanation:
To calculate a tip of 20%, you would perform the following:
$92.18 * 0.20 = $18.436
Similarly, for a tip of 15%:
$92.18 * 0.15 = $13.827
The difference would just be subtracting the two tip amounts from each other!
$18.436 - $13.827 = $4.609
Then you round to the nearest cent.
$4.609 ≈ $4.61
Juan is making a cake for his mom's birthday. For every three cups of
flour, there are four teaspoons of sugar. If Juan used 33'cups of flour,
how many teaspoons of sugar did he use? Be sure to identify the
multiplicative rule.
Answer:
44 teaspoons
Step-by-step explanation:
33 divided by 3 is 11 and 4 x 11 is 44 if juan used 4 teaspoons of sugar every 3 cups of flour then 3 goes into 33 11 times and 4 x 11= 44
Write the equation 5x+y=0 in in slope-intercept form.
Answer:
y = -5x
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
5x+y = 0
Subtract 5x from each side
5x+y-5x= 0-5x
y = -5x
PLEASE HELP MEEEE THIS IS DUE IN TEN MINUTES ALSO HOW THE HECK DO YOU CHANGE THE THING THAT SAYS COLLEGE BY UR NAME? IM IN FLIPPING EIGTH GRADE NOT COLLEGE!!!
Answer:
1. 4.05 x 10^-4
2. 49,345,000
3. 2.357897 × 10^9
If you divide 60 liters into 10 parts, there will be 6 liters each. How many liters would there be if you had 7 of these groups?
Answer:
I'm pretty sure 70 liters
Step-by-step explanation:
because 60÷10=6
so 70÷10=7
Give an example of a number between 20 and 50 which is a multiple of 3 and also a factor of 84.
Answer:
69
Step-by-step explanation:
by eliminating 20 from 84 we get 64 then add the 3 to get 67 and then we know that we always add 2 to our answers and therefore get 69
PLSSSS HELP ILL GIVE THE BRAINLIEST ANSWER!!!!!
Answer:
y = [tex]\frac{3}{4}[/tex] x
Step-by-step explanation:
[tex]\frac{rise}{run}[/tex] , rise over run, the graph is positive
Multiply 0.006 by 3.08. Express in standard form
Answer:
1.848 × 10^-2
Step-by-step explanation:
0.006 = 6 × 10^-3
3.08 = 3.08 × 10^0 (10^0 is equal to 1)
(6 × 10^-3) × (3.08 × 10^0) = 18.48 × 10^-3 = 1.848 × 10^-2
