Answer:
7/9
Step-by-step explanation:
When 7/9 is put as a decimal then its 0.777777. This makes it a repeating decimal.
The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.
Required:
a. What percent of men have a bladder volume smaller than 450 ml?
b. Between what volumes do the middle 95% of men’s bladders fall?
c. What proportion of male bladders are between 500 and 600 ml?
d. What volumes do the middle 90% of men’s bladder fall?
Answer:
a) 15.866%
b) Middle 95% = 350 ml to 750 ml
c) 0.3829
d) Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml
Step-by-step explanation:
We solve using z score formula
z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.
Required:
a. What percent of men have a bladder volume smaller than 450 ml?
z = 450 - 550/100
= -1
P-value from Z-Table:
P(x<450) = 0.15866
Convert to percentage
0.15866 × 100
= 15.866%
b. Between what volumes do the middle 95% of men’s bladders fall?
Middle 95% falls between 2 standard deviation of the mean
μ ± 2σ
μ - 2σ
550 - 2(100)
= 550 - 200
= 350 ml
μ + 2σ
= 550 + 2(100)
= 550 + 200
= 750 ml
Middle 95% = 350 ml to 750 ml
c. What proportion of male bladders are between 500 and 600 ml?
For 500ml
z = 500 - 550/100
= -0.5
Probability value from Z-Table:
P(x = 500) = 0.30854
For 600ml
z = 600 - 550/100
= 0.5
Probabilty value from Z-Table:
P(x = 600) = 0.69146
Proportion of male bladders are between 500 and 600 ml
P(x = 600) - P(x = 500)
0.69146 - 0.30854
= 0.38292
≈ 0.3829
d. What volumes do the middle 90% of men’s bladder fall?
The z score for middle 90% + / – 1.645
Hence,
1.645 = x - 550/100
1.645 × 100 = x - 550
164.5 + 550 = x
x = 714.5 ml
-1.645 = x - 550/100
-1.645 × 100 = x - 550
- 164.5 + 550 = x
x = 385.5ml
Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml
solve for z 3=(z+1) write your answers as integers or as proper or improper fractions
Answer:
z=2
Step-by-step explanation:
Just solve
1 + z = 3 (minus 1 on both sides)
z = 2
Plug in
3=(2+1)
3 = 3
True or false: 8.9 x 10-7 = 0.000 008 9.
5
4. y = 1
D
1
1
1
I
B
Answer:
not sure what you need but I would be happy to help
3s (s - 2) =12s, please help me this. Thank you!
Answer:hbjnhbgfvrdfghjhgfdfghjhgfghjkl
suppose that the life distribution of an item has the hazard rate function of what is the probability that
Answer:
that what
Step-by-step explanation:
There were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at mcneely’s farm
4/9
5/9
4/5
5/4
Answer:
4/5
Step-by-step explanation:
What is the value of the expression -(-4)(-6)-3/5(10+15)
Answer:
-(-4)(-6)*3/5(10+15)
when there is a (-) in front of an expression in parentheses, change the sing of each term in the expression.
4*(-6)*3/5*(10+15)
Add the numbers (10+15)
4(-6)*3/5*25
multiplying an odd number of negative terms makes the product negative
-4*6*3/5*25
reduce the number with the greatest common factor 5
-4*6*3*5
calculate the product
solution
-360
170% of what is 166?
Answer:
97.65
Step-by-step explanation:
97.65
Step-by-step explanation
Question 3 of 6 (1 point) Attempt 33 of Unlimited View question in a popup
2.4 Section Exercise 6
In a study of 550 meals served at 75 campus cafeterias, 77 had less than 10 grams of fat but not less than 350 calories; 81 had
less than 350 calories but not less than 10 grams of fat; 186 had over 350 calories and over 10 grams of fat.
Part: 0/2
E
Part 1 of 2
(a) What percentage of meals had less than 10 grams of fat? Round your answer to the nearest tenth of a percent.
of the meals studied, 1% of them had less than 10 grams of fat.
Answer:
10%
Step-by-step explanation:
(a) What percentage of meals had less than 10 grams of fat?
(b) Round your answer to the nearest tenth of a percent.
To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.
(A) Total number of meals = 550
Number of meals having less than 10 grams of fat = 77
Percentage of meals having less than 10 grams of fat = 77/550 × 100
= 0.14 × 100 = 14%
(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').
The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%
Brainliest will be given to the correct answer!
The formula for the area of a trapezoid is A = 1/2h (b1 + b2), where h is the height of the trapezoid, and b1 and b2 are the lengths of the bases.
Part A: Solve the formula for h. What is the height of a trapezoid that has an area of 91 cm2 and bases of 12 cm and 16 cm?
Part B: What method would you use to solve the formula for b1? What is the formula when solved for b1?
Part C: What is the length of the other base if one base of a trapezoid is 30 cm, the height of the trapezoid is 8.6 cm, and the area is 215 cm2?
Part D: If both bases of a trapezoid have the same length, can you find their lengths given the area and height of the trapezoid? Explain.
Answer:
A) The height of the trapezoid is 6.5 centimeters.
B) We used an algebraic approach to to solve the formula for [tex]b_{1}[/tex]. [tex]b_{1} = \frac{2\cdot A}{h}-b_{2}[/tex]
C) The length of the other base of the trapezoid is 20 centimeters.
D) We can find their lengths as both have the same length and number of variable is reduced to one, from [tex]b_{1}[/tex] and [tex]b_{2}[/tex] to [tex]b[/tex]. [tex]b = \frac{A}{h}[/tex]
Step-by-step explanation:
A) The formula for the area of a trapezoid is:
[tex]A = \frac{1}{2}\cdot h \cdot (b_{1}+b_{2})[/tex] (Eq. 1)
Where:
[tex]h[/tex] - Height of the trapezoid, measured in centimeters.
[tex]b_{1}[/tex], [tex]b_{2}[/tex] - Lengths fo the bases, measured in centimeters.
[tex]A[/tex] - Area of the trapezoid, measured in square centimeters.
We proceed to clear the height of the trapezoid:
1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.
2) [tex]A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})[/tex] Definition of division.
3) [tex]2\cdot A\cdot (b_{1}+b_{2})^{-1} = (2\cdot 2^{-1})\cdot h\cdot [(b_{1}+b_{2})\cdot (b_{1}+b_{2})^{-1}][/tex] Compatibility with multiplication/Commutative and associative properties.
4) [tex]h = \frac{2\cdot A}{b_{1}+b_{2}}[/tex] Existence of multiplicative inverse/Modulative property/Definition of division/Result
If we know that [tex]A = 91\,cm^{2}[/tex], [tex]b_{1} = 16\,cm[/tex] and [tex]b_{2} = 12\,cm[/tex], then height of the trapezoid is:
[tex]h = \frac{2\cdot (91\,cm^{2})}{16\,cm+12\,cm}[/tex]
[tex]h = 6.5\,cm[/tex]
The height of the trapezoid is 6.5 centimeters.
B) We should follow this procedure to solve the formula for [tex]b_{1}[/tex]:
1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.
2) [tex]A = 2^{-1}\cdot h \cdot (b_{1}+b_{2})[/tex] Definition of division.
3) [tex]2\cdot A \cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot (b_{1}+b_{2})[/tex] Compatibility with multiplication/Commutative and associative properties.
4) [tex]2\cdot A \cdot h^{-1} = b_{1}+b_{2}[/tex] Existence of multiplicative inverse/Modulative property
5) [tex]\frac{2\cdot A}{h} +(-b_{2}) = [b_{2}+(-b_{2})] +b_{1}[/tex] Definition of division/Compatibility with addition/Commutative and associative properties
6) [tex]b_{1} = \frac{2\cdot A}{h}-b_{2}[/tex] Existence of additive inverse/Definition of subtraction/Modulative property/Result.
We used an algebraic approach to to solve the formula for [tex]b_{1}[/tex].
C) We can use the result found in B) to determine the length of the remaining base of the trapezoid: ([tex]A= 215\,cm^{2}[/tex], [tex]h = 8.6\,cm[/tex] and [tex]b_{2} = 30\,cm[/tex])
[tex]b_{1} = \frac{2\cdot (215\,cm^{2})}{8.6\,cm} - 30\,cm[/tex]
[tex]b_{1} = 20\,cm[/tex]
The length of the other base of the trapezoid is 20 centimeters.
D) Yes, we can find their lengths as both have the same length and number of variable is reduced to one, from [tex]b_{1}[/tex] and [tex]b_{2}[/tex] to [tex]b[/tex]. Now we present the procedure to clear [tex]b[/tex] below:
1) [tex]A = \frac{1}{2} \cdot h \cdot (b_{1}+b_{2})[/tex] Given.
2) [tex]b_{1} = b_{2}[/tex] Given.
3) [tex]A = \frac{1}{2}\cdot h \cdot (2\cdot b)[/tex] 2) in 1)
4) [tex]A = 2^{-1}\cdot h\cdot (2\cdot b)[/tex] Definition of division.
5) [tex]A\cdot h^{-1} = (2\cdot 2^{-1})\cdot (h\cdot h^{-1})\cdot b[/tex] Commutative and associative properties/Compatibility with multiplication.
6) [tex]b = A \cdot h^{-1}[/tex] Existence of multiplicative inverse/Modulative property.
7) [tex]b = \frac{A}{h}[/tex] Definition of division/Result.
multiply the complex number by this complex conjugate.
16. 8+i
17. 3 - 2i
18. -7- 5i
Find the unknown angle measures.
Answer:
x = 9°
y = 119°
Step-by-step explanation:
Given,
y° = 61°+58° { the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}
or, y° = 119°
therefore, y° = 119°
Now,
52°+y°+x° = 180°{the sum of angle if triangle is 180°}
or, 52°+119°+x°= 180°
or, 171°+x° = 180°
or, x° = 180°-171°
or, x° = 9°
therefore, x° = 9°
Josh’s walking stick is 4.875 feet long what is the same length written as a mixed number
Help it’s for algebra 1
In Mario kart the special blocks are programmed to deliver 3 green shells for every 11 bananas.if in the last game characters received 104 more bananas than green shells, how many green shells were received?
Answer:
look im putting this here bc i have to answer 50 questionsfor a quest sdo dont report me ;-;
Step-by-step explanation:
The population of a city is 490,000 and is increasing at a rate of 2.75% each year. Approximately when
will the population reach 980,000?
The population will reach 980,000 in years.
Answer:
The population will reach 980,000 in 26 years approximately.
Step-by-step explanation:
Initial Population of city = 490000
Rate of increase in population = 2.75%
We are supposed to find Approximately when will the population reach 980,000
Formula : [tex]N(t)=N_0(1+r)^t[/tex]
N(t)= population after t years
[tex]N_0=[/tex] Initial population
t - time
r = rate of interest in decimals
So,[tex]980000=490000(1+\frac{2.75}{100})^t[/tex]
t=25.55
So, the population will reach 980,000 in 26 years approximately.
What formula is used to
determine the expected value for a variable?
Which of these is a biomorphic shape? Choose the answer.
O a capital letter W
O a microphone
an outline of a pine tree
O a pyramid
Answer:
Option C: an outline of a pine tree
Step-by-step explanation:
Artists usually use two main types of shapes when drawing. One is geometric shape and the other is bimorphic shape.
A geometric shape simply refers to common regular and precise shapes like triangles, rectangles, squares which are commonly found in man made objects. Whereas, a bimorphic shape is one that is basically rounded or irregular and depicts natural things or living organisms.
Now, from the question, the only thing there that refers to a natural occurring object is "an outline of a pine tree".
Thus, it is a bimorphic shape.
Answer:
C. an outline of a pine tree
Step-by-step explanation:
I just took the test!
What is the value of x?
20
35
60
70
Answer:
20°
Step-by-step explanation:
Step 1:
x + 40° = 3x Vertical ∠'s
Step 2:
40° = 2x Subtract x on both sides
Step 3:
x = 40° ÷ 2 Divide
Answer:
x = 20°
Hope This Helps :)
What is the midpoint of the segments with endpoints (3,7) and (9,15)
Answer:
(6,11)
I can confirm that this question is right.
12/2 22/2
(6 , 11)
Joey made this
graph to show how many incorrect
answers students got on a test. how
many students got 3 answers incorrect?
how do you know?
number of students
Answer:
4 students got three answers incorrectly.
The number of students got 3 answers incorrect is 4.
What is histogram?A histogram is a display of statistical information that uses rectangles to show the frequency of data items in successive numerical intervals of equal size.
Now from the given histogram following informations are extracted-
Number of students got 1 answer incorrect = 2
Number of students got 2 answer incorrect = 3
Number of students got 3 answer incorrect = 4
Number of students got 4 answer incorrect = 1
Number of students got 5 answer incorrect = 2
Thus from above we can conclude that,
Number of students got 3 answer incorrect = 4
Thus, the number of students got 3 answers incorrect is 4.
To learn more about histogram :
brainly.com/question/1593386
#SPJ2
Rectangle A’B’C’D’ is the image of rectangle ABCD after which of the following rotations?
Answer:
You're right!
Step-by-step explanation:
Answer:
Were you right?
Step-by-step explanation:
Find the surface area of the cube shown below 2.3
Answer:
2 2/3 or 8/3
Step-by-step explanation:
Formula for each side = 2/3 x 2/3
2/3 x 2/3 = 4/9
6 sides
4/9 x 6 or 4/9 + 4/9 + 4/9 + 4/9 + 4/9 + 4/9
=2 2/3 or 8/3
Answer:
2 2/3
Is the answer
function rule y=3x-3
Answer:
-15, -9, -3, 3
Step-by-step explanation:
First One:
y =3(-4)-3 is -15
Second:
y= 3(-2)-3 is -9
Third:
y= 3(0)-3 is -3
Last One:
y= 3(2)-3 is 3
To make a shade of paint called jasper green, mix 4 quarts of green paint with cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?
Answer:
8 quarts
Step-by-step explanation:
no explanation needed this should be correct.
11. Mary just received her paycheck and would like to cash it. She does not have a checking account, where should she go to cash it? *
Answer:
Cash it at the issuing bank (this is the bank name that is pre-printed on the check)
Cash a check at a retailer that cashes checks (discount department store, grocery stores, etc.)
Cash the check at a check-cashing store.
Deposit at an ATM onto a pre-paid card account or checkless debit card account.
Step-by-step explanation:
Answer:
Amscot?
Step-by-step explanation:
Order from least to greatest:
-5/6,0.567,-0.11,-1/4
Answer:
-5/6,-1/4,-0.11,0.567
Step-by-step explanation:
What is the greatest whole number that rounds to 2, 100when rounded to the nearest hundred? The least whole number?
Answer:
i am pretty sure it would be 8
Step-by-step explanation:
when it rounds to 2 but also rounds to 100, 8 would be the best bet.
Ralph chase plans to sell a piece of property for 170000 he wants the money to be paid off in two ways -a short-term note at 11% interest and a long term note at 9% interest. Find the amount of each note if the total annual interest paid is 171700
Answer:
There is something wrong with the question because you cannot earn more interest during a year than the principal if you earn only 9% or 11%. You would have to earn more than 100%, so I will do this calculation based on $17,170 (not $171,700) earned in interest per year.
let S = amount received from short term note, and L = amount received from long term note
0.11S + 0.09L = 17170
S + L = 170000
S = 170000 - L
0.11 (170000 - L) + 0.09L = 17170
18700 - 0.11L + 0.09L = 17170
1530 - 0.02L = 0
1530 = 0.02L
L = 1530 / 0.02 = $76,500
S = 170000 - 76500 = $93,500