To evaluate whether or not the intake of a vitamin or mineral is adequate, comparisons are made between the intake distribution and the requirement distribution. Here is some information about the distribution of vitamin C intake, in milligrams per day, for women aged 19 to 30 years:
Percentile (mg/d)
Mean 1st 5th 19th 25th 50th 75th 90th 95th 99th
84.2 31 43 47 60 79 103 126 141 180
Use the 5th, the 50th, and the 95th percentiles of this distribution to estimate the mean (±0.01) and standard deviation (±0.01) of this distribution assuming that the distribution is Normal.
μ = _________
σ = _________
Answer:
[tex]Mean=79[/tex]
[tex]\sigma=30.3951.[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]Age Bracket :19-20[/tex]
[tex]5th\ percentile = 42[/tex]
[tex]50th\ percentile = 79[/tex]
[tex]95th\ percentile = 142.[/tex]
Generally the mean Median and mode of the 50th percentile is are all equal
[tex]Mean=Median=Mode[/tex]
Therefore
[tex]Mean=79[/tex]
Generally for Normal distribution
[tex]5th\ percentile\ = mean - 1.645*\sigma[/tex]
[tex]95th\ percentile\ = mean + 1.645*\sigma[/tex]
Therefore
[tex](95th\ percentile\ - 5th\ percentile) = 2*(1.645*SD).[/tex]
[tex]\sigma=(95th\ percentile\ - 5th\ percentile)/3.29[/tex]
[tex]\sigma=\frac{142-42}{3.29}[/tex]
[tex]\sigma=30.3951.[/tex]
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, over time, t.
Which is an equivalent equation solved for t?
Answer:
(f-v)/a = t
Step-by-step explanation:
f = v + at
Subtract v from each side
f-v = v-v + at
f-v = at
Divide each side by a
(f-v)/a = at/a
(f-v)/a = t
Answer:
f - v = a
t
Step-by-step explanation:
Equation:
f = v + at
subtract -v on both sides
f - v = at
divide t on both sides of the equation
f - v = a
t
expand 3e(e+4)
Hhhhhhh
Answer:
[tex]3e^{2} + 12e[/tex]
Step-by-step explanation:
[tex]3ee+3e4[/tex]
[tex]3ee+3 * 4e[/tex]
[tex]3e^{2} + 12e\\[/tex]
[tex]3 \: {e}^{2} + 12 \: e[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 \: e \: ( \: e + 4 \: ) \\ \\ = 3 \: e \times \: e + 3 \: e \times 4 \\ \\ = 3 \: {e}^{2} + 12 \: e[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
Find the
surface area of the
prism.
Answer:
D. 972 ft^2
Step-by-step explanation:
SA = 2B + PH
where SA = total surface area of the prism,
B = area of a base
P = perimeter of the base
H = height of the prism
SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)
SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)
SA = 972 ft^2
A flower store has an inventory of 25 roses, 15 lilies, 30 tulips, 20 gladiola, and 10 daisies. A customer picks one of the flowers at random.
What is the probability that the flower is not a rose?
Answer: 75/100
Step-by-step explanation:
the total number of flowers= 25+15+30+20+10
= 100
so probability that the flower is not a rose is= 75/100
Note: i got 75 by subtracting 100 by 25
What is the value of log √10?
Answer:
0.5
Step-by-step explanation:
Answer:
.5
Step-by-step explanation:
calculator
Four times the sum of 5 and some number is 4. What is the number
Answer:
n = -4
Step-by-step explanation:
1. the sum of 5 and some number translates to 5 + x.
2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).
3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4
4. Now you can solve the equation. When solved, the answer is n = -4
An orthocenter is the intersection of three.....?
Answer:
i don't get it
Step-by-step explanation:
Answer: An orthocenter is the intersection of three: Altitudes in a triangle.
Step-by-step explanation:
Altitude--
An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.
Orthocenter--
An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.
who is the president of Uganda
Answer: Yoweri Museveni
☆彡HannaThe angles shown below are supplementary:
what is the value of x
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for [tex]x[/tex]:
[tex]10x+60=180,\\10x=120,\\x=\boxed{12}[/tex]
Answer:
x=12
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
10x+60=180
Subtract 60 from both sides:
10x=120
Divide 10 to both sides:
x=12
Watch help video
In the diagram below of triangle MNO, P is the midpoint of MO and Q is the
midpoint of NO.If PQ = 49 – 8x, and MN = 41 + 3x, what is the measure of
MN?
O
N
P
M M
Answer:
MN = 50
Step-by-step explanation:
Given:
PQ = 49 – 8x
MN = 41 + 3x
Required:
Measure of MN
Solution:
PQ = ½(MN) => Mid-segment theorem of a triangle
Substitute
49 - 8x = ½(41 + 3x)
Multiply both sides by 2
2(49 - 8x) = 41 + 3x
98 - 16x = 41 + 3x
Collect like terms
98 - 41 = 16x + 3x
57 = 19x
57/19 = 19x/19
3 = x
x = 3
Find MN:
MN = 41 + 3x
Plug in the value of x
MN = 41 + 3(3) = 41 + 9
MN = 50
The camping group has 24 ppl in all 21 out of 24 would like a s’more it takes 1 min and 30 sec to make each one if two ppl are making them at the same time how long will it take to make one for each person
Answer:
16 minute 30 seconds
Step-by-step explanation:
1 minute 30 seconds = 1.5 minutes
1.5 x 21 = 31.5 minutes
One person will make 10, one person makes 11.
11
11× 1.5 = 16.5
10× 1.5 = 15
16.5 is the answer
If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is
the smallest? (Assume all lengths are whole numbers.)
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Answer:
largest: 1024 m²smallest: 0 m²Step-by-step explanation:
The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.
The largest enclosed area is (32 m)² = 1024 m².
__
The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.
The smallest enclosed area is (64 m)(0 m) = 0 m².
_____
"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
Which expression is equivalent to (1/√y)^-1/5?
A: 1/10√y
B: 1/√y^5
C: 10√y
D: 5√y^2
Answer:
C
Step-by-step explanation:
(1/√y)^-1/5
= (1/sqrt(y))^(-1/5)
=sqrt(y)^(1/5)
=y^(1/10)
= (tenth root of y)
=C
:)
Solve the inequality.
|6p+3|>15
A p<2 or p>−3
B p>−2 or p<3
C p<−2 or p>3
D p>2 or p<−3
Step-by-step explanation:
|6p + 3| > 15
6p = 15 - 3
6p = 12
divide both sides by 6
6p÷6 = 12 ÷ 6
p = 2
hence, p >2 or p < - 3
Find the volume of the prism.
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Answer:
420 mm³
Step-by-step explanation:
The volume is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
The triangular base area is given by the formula ...
A = 1/2bh
A = 1/2(10.5 mm)(10 mm) = 52.5 mm²
Then the volume of the prism is ...
V = (52.5 mm²)(8 mm) = 420 mm³
What is the true solution to In 20+ In 5= 2 In x?
x=5. A
X= 10 b
X=50 c
X= 100 d
ln(20) + ln(5) = 2 ln(x)
ln(20×5) = ln(x ²)
ln(100) = ln(x ²)
100 = x ²
x = 10
Joan is a babysitter. She earns $8.50 per hour. Joan wants to buy a new phone that costs $161.50 with the tax included. Write an equation relating the number of hours she needs to babysit to the amount of money she earns. Find out how many hours Joan must babysit to buy the phone. Use h to represent the number of hours Joan babysits.
Answer:
8.5=161.50;h= 19 hours
Step-by-step explanation:
So its pretty easy all you have to do is multiply 8.5 x 19
Find y if the distance between
points P and R is 25 and point R
is located in the first quadrant.
p= (3,-18) r=(10,y)
Answer:
y = 6
Step-by-step explanation:
[tex]\sqrt{(10-3)^2 + (y+18)^2} = 25 \\ 49 + y^2 + 324 + 36y = 625 \\[/tex]
y^2 + 36y - 252 = 0
(y-6)(y+42) = 0
y = 6 (accettable)
y = -42 (not accettable)
The school newspaper surveyed 100 commuter students and asked three questions. First, students were asked how many courses they were currently enrolled in. Second, the commuter students were asked to estimate how long it took them to drive to campus. And third, they were asked their heights. Identify the type of random variable being measured by each.
Answer:
The number of courses they were currently enrolled in is a discrete random variable.
The time it took them to drive to campus is a continuous random variable.
Their heights is a continuous random variable.
Step-by-step explanation:
Random variables:
Random variables can be classified as continuous or discrete.
Discrete variables are countable numbers(0,1,2,...), while continuous variables can assume decimal values.
First, students were asked how many courses they were currently enrolled in.
Can be 0,1,2,... that is, has to be a countable number, so the number of courses they were currently enrolled in is a discrete random variable.
Second, the commuter students were asked to estimate how long it took them to drive to campus.
Can be for example, 10.5 minutes, half an hour, that is, can be represented by decimal values, and thus the time it took them to drive to campus is a continuous random variable.
And third, they were asked their heights.
Can also be decimal numbers, so continuous.
[tex]f(x)=\sqrt(x) \\ g(x)=\sqrt((4)/(5)x)[/tex]
Identify a horizontal or vertical stretch or compression of the function f(x)=\sqrt(x) by observing the equation of the function g(x)=\sqrt((4)/(5)x)
A. A vertical compression by a factor of 5/4
B. A horizontal compression by a factor of 5/4
C. A horizontal stretch by a factor of 5/4
D. A vertical stretch by a factor of 5/4
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Answer:
C. A horizontal stretch by a factor of 5/4
Step-by-step explanation:
Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.
You decide to work out your weekly pay by using the following formula:
p = 5hr
p is weekly pay
h is hours worked
r is rate of pay per hour
This week you worked 8 hours a day, for 5 days, at an hourly rate $6.88.
How much did you earn? $
Answer:
p = 5(8)(6.88)
p = $275.20
It is currently 0 degrees outside, and the temperature is dropping 4 degrees every hour. The temperature after h hours is −4h.
Explain what the inequality −4h ≤-14 represents.
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Explanation:
-4h ≤ -14
in this context is a relation that would tell how many hours it would take for the temperature to be at or below -14 degrees.
Could I get help with this? Thank you
Answer:
Equation: [tex]y=-\frac{5}{4} x[/tex]
Slope: [tex]-\frac{5}{4}[/tex]
Point: [tex](-4,5)[/tex]
Step-by-step explanation:
To find the slope, you need two points [tex](-4,5)[/tex] and [tex](0,0)[/tex].
Then use the Slope Formula to Identify the slope.
M = Slope
M = [tex]\frac{y2-y1}{x2-x1}[/tex] Second y being subtracted by the first y / the second x being subtracted by the first x.
M = [tex]\frac{0-5}{0--4}[/tex] Plot the x and y values (In order) Then subtract
M = [tex]\frac{-5}{4}[/tex] Move the negative sign
M = [tex]-\frac{5}{4}[/tex]
Slope = [tex]-\frac{5}{4}[/tex]
Then the Equation has to be written in Slope-Intercept Form (y=mx+b)
y = [tex]-\frac{5}{4} x[/tex]
Will mark Brainlest Help pls
g(-1) = -1, g(2) + g(1) = 7
Step-by-step explanation:
Given: g(x) = x³ + x² - x - 2
g(-1) ==> x = -1
g(-1) = (-1)³ + (-1)² - (-1) - 2
g(-1) = -1 + 1 + 1 - 2
g(-1) = -1
g(2) ==> x = 2
g(2) = (2)³ + (2)² - (2) - 2
g(2) = 8 + 4 - 2 - 2
g(2) = 8
g(1) ==> x = 1
g(1) = (1)³ + (1)² - (1) - 2
g(1) = 1 + 1 - 1 - 2
g(1) = -1
g(2) + g(1) = 8 + (-1) = 7
PLEASE HELP THIS IS DUE NOW
will mark brainliest!
10 points
Please help and find and explain Claire’s Mistake
which term in the quotient of this expression contains an error?
Answer:
The + 78 :- it should be + 60.
Step-by-step explanation:
Long division:-
x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.
4x^4 - 12x^3
6x^3 + 0x^2
6x^2 - 18x^2
18x^2 + 6x
18x^2 - 54x
60x + 3
60x - 180
183
what is 300+45-9x2+22-1+2
Answer:
350
Step-by-step explanation:
Use PEMDAS.
[tex]300+45-9*2+22-1+2[/tex]
300+45-18+22-1+2
345-18+22-1+2
327+22-1+2
349-1+2
348+2
350
PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!!
FIND THE VALUE OF X
Answer:16 degree is the answer.
Since r and m are parallel:
10x-3=7x+45
3x=48
x=16
