Answer:
[tex]4a[/tex]
Step-by-step explanation:
Just like addition.
A scale drawing of an office space uses a scale of 1 in : 4 yd. The scale drawing has an area of 12 square inches.The area of the office space is ____ square yards
The scale factor of area of the drawing to the area of the office is the
square of the scale factor of the length of the drawing.
The area of the office space is 192 square yards.Reasons:
The given parameters are;
1 inch in the scale drawing = 4 yd. in actual dimension
4 yd. = 144 inches
Therefore;
1 inch in the scale drawing = 144 inches in actual dimension
The scale factor of length of the drawing, s = 1:144
The scale factor of area = s²
Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =s^2[/tex]Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =\dfrac{12}{A} = s^2 = \left( \dfrac{1}{144} \right)^2[/tex]Where;
A = The actual office space area
There fore;
12 × 144² = A × 1²
A = 12 × 144² = 248,832 in.²
1 yd.² = 1,296 in.²
[tex]248,832 \, in.^2 = \dfrac{248,832}{1,296} \, yd.^2 = 192 \, yd.^2[/tex]The area of the office space is 192 square yards.
Lear more here:
https://brainly.com/question/17166840
Please I have no clue
Question 1 A physician's “patient panel” is the list of all patients under their care. In the
US, the size of patient panels among primary care doctors is well modeled by a N(1500, 200)
distribution.
(a) If a "medium-sized” panel has anywhere from 1250 to 1750 patients, what proportion
of US primary care doctors have a patient panel that is NOT "medium-sized”?
(b) Find Q1,Q3 and the IQR of the patient panels of US primary care doctors.
Using the normal distribution, we have that:
a) The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
b)
Q1 = 1365.
Q2 = 1635.
IQR = 270.
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.For this problem, N(1500, 200) means that [tex]\mu = 1500, \sigma = 200[/tex].
Item a:
The proportion that are medium-sized is the p-value of Z when X = 1750 subtracted by the p-value of Z when X = 1250, thus:
X = 1750:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1750 - 1500}{200}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 1250:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1250 - 1500}{200}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1056.
0.8944 - 0.1056 = 0.7888 are medium.
1 - 0.7888 = 0.2112.
The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
Item b:
Q1 is the first quartile, which is the 25th percentile, given by X when Z has a p-value of 0.25, so X when Z = -0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = -0.675(200)[/tex]
[tex]X = 1365[/tex]
Thus, Q1 = 1365.
Q3 is the third quartile, which is the 75th percentile, given by X when Z has a p-value of 0.75, so X when Z = 0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = 0.675(200)[/tex]
[tex]X = 1635[/tex]
Thus, Q3 = 1635.
The IQR is the difference between Q3 and Q1, that is:
[tex]IQR = Q3 - Q1 = 1635 - 1365 = 270[/tex]
Then, IQR = 270.
A similar problem is given at https://brainly.com/question/15953015
Evaluate 3x – 6 + 5x - 1 when x =-3
Answer:
-31
Step-by-step explanation:
1. To evaluate this expression when x = -3, we just have to plug in the x-value and simplify.
[tex]3x - 6 + 5x - 1[/tex] [tex]3(-3)-6+5(-3)-1[/tex] [tex]-9 - 6 - 15 - 1[/tex] [tex]-15 - 15 - 1[/tex] [tex]-30 - 1[/tex] [tex]-31[/tex]Therefore, the answer is -31.
1. A bird that was perched atop a 15 foot tree dives down six feet to a branch
below. How far above the ground is the bird's new location?
If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices
a jacket is on sale for $170. this is 80% of the regular price. what is the regular price
Answer:
$212.5
Step-by-step explanation:
x= 100*170/80
x= 17000/80
x= 212.5
Evaluate.
(1/5+1/2)^2+3/10⋅5
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
1/5+1/2²+3/10•5=1/7²+15/100
The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given expression,
(1/5+1/2)^2+3/10⋅5
⇒ (1/5+1/2)²+ 15/10
Take LCM in the bracket as 10
⇒ [(2 + 5)/10]² + 15/10
⇒ (7/10)² + 15/10
⇒ 49/100 + 15/10
Take LCM as 100
⇒ (49 + 150)/100 = 199/100
⇒ 1 99/100
Hence "The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100".
For more about the number system,
https://brainly.com/question/22046046
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A sum of $30,400 is to be divided in to three shares in the ratio of 4 : 5 : 7. Find the largest share. Please emergency
Answer:
$13,300
Step-by-step explanation:
$30,400 in to the ratio of 4:5:7
First lets add 4, 5, and 7:
4 + 5 + 7 = 16
Now divide 30,400 by 16 to find 1 share:
30,400/16 = 1900
Since the largest share is 7, we multiply 1900 by 7, since 1900 is equivalent of 1 share
1900 x 7 = 13300
-Chetan K
Simplify each radical
1-4
Write the equation of the line that passes through the points (7, 2) and (4, -9). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
if you were to use the first ordered pair, your answer would be y - 2 = 11/3(x-7) and with the second ordered pair : y + 9 = 11/3(x-4
[tex]\sqrt50 + \sqrt18\\[/tex]
Answer:
8\sqrt2=\sqrt128
Step-by-step explanation:
[tex] \sqrt{50} = 5 \sqrt{2} \\ \sqrt{18} = 3 \sqrt{2} [/tex]
help solve the problem .
Round 1,597 to the nearest hundred
Answer:
1600
Step-by-step explanation:
36 workers can complete a piece of work in 12 days how many workers should be removed to complete the same work in 24 days
please explain step by step
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
solve pls brainliest
Answer:
Mixed number: [tex]2 \frac{1}{100}[/tex]
Improper fraction: [tex]\frac{201}{100}[/tex]
If prices increase 3% each year for 10 years, then a jacket that costs $70 today will cost $94.07 in 10 years. What is the percentage decrease in the buying power of currency over the 10-year period? (Round your answer to one decimal place.)
Answer:
34.4%
Step-by-step explanation:
what does n equal in 4n − 2n = 4
Answer:
Step-by-step explanation:
4 = 2
Hi! ❤️ Pls help here thanksThe figure shows two parallel lines cut by a transversal.
What is the value of x?
x =
Answer:
x = 33
Step-by-step explanation:
Note that there are two parallel lines cut by a transversal (given).
The two angles given are corresponding angles, meaning that there measurements will be the same. Set the equation:
124 = 4x - 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, add 8 to both sides of the equation:
124 = 4x - 8
124 (+8) = 4x - 8 (+8)
124 + 8 = 4x
132 = 4x
Next, divide 4 from both sides of the equation:
(132)/4 = (4x)/4
x = 132/4
x = 33
33 is your answer.
~
compair 5,269 and5.038 using < or >
Answer:
5,269 > 5.038
5.038 is rounded to 5
Please let me know if this is true or false
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Yes, The given statement is True
Please help me and can you explain step by step please
Answer:
16 robots
Step-by-step explanation:
Each worker can move 12 boxes/minute and there are 24 workers.
24 x 12 = 288
Divide the total work by 18 (since a robot can move 18 boxes/minute)
288 ÷ 18 = 16
What is an equation of the line that passes through the points (-2, 1)(−2,1) and (-6, -5)(−6,−5)?
Answer:
ind the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 )
to find the line parallel to x + 4y = 28 .
Step-by-step explanation:
WHICH IS THE BETTER VALUE!
$15 for 4 pizzas
с
$25 for 6 pizzas
a
$19 for 5 pizzas
Answer:
unit price formula: cost / quantity
15 / 4 = 3.75 per pizza
25 / 6 = 4.16 per pizza
19 / 5 = 3.8 per pizza
lowest is $3.75so 15$ for 4 pizzas is your best value.
PLEASE HELP ITS MATH
Answer:
$2064
Step-by-step explanation:
take 432÷9=48×43
Order the numbers from least to greatest 0.607, 607, 6.07, 60.7
Answer:
0.607, 6.07, 60.7, 607
Step-by-step explanation:
can you simplify -3.2/0.8
Explanation:
Move the decimal point to the right one spot for each value
-3.2 turns into -32
0.8 turns into 8.0 which is the same as 8
That means the given fraction is the same as -32/8 which simplifies into -4
A store is having a sale to clear out the winter clothing items. Every Item in the store is advertised as 50% off the original price. If
an Item is marked with a sale price of $35, what was its original price?
Answer:
$70
Step-by-step explanation:
35+35=70
A car travels at an average speed of 45 mph for 40 minutes.
The next part of the car's journey takes 25 minutes at an average speed of 60 mph.
Show that the average speed of the entire journey is just over 50 mph.
9514 1404 393
Answer:
the average speed is 50 10/13 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
distance = speed × time
The distance traveled in the first part of the car's journey is ...
(45 mi/h)(2/3 h) = 30 mi
The distance traveled in the second part of the car's journey is ...
(60 mi/h)(25/60 h) = 25 mi
Then the total distance is 30 mi +25 mi = 55 mi.
The total time is ...
40 min +25 min = 65 min = 65/60 h = 13/12 h
The average speed for the trip is ...
speed = distance/time = (55 mi)/(13/12 h) = 660/13 mi/h = 50 10/13 mi/h
The average speed of the journey is 50 10/13 mi/h, just over 50 mi/h.
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. x-8=8-x
Hello!
Answer:
One solution (8)
Step-by-step explanation:
Hope this helps!