Find the amount to administer
Ordered: Vistaril 0.4 g PO BID
On Hand: Vistaril 25 mg/5 mL
Answer:
3mg per BID vistrail
Step-by-step explanation:
The heights of the men age 18 and over in HANES5 averaged 69 inches; the SD was 3 inches. Suppose the histogram of their heights follows the normal curve. Such a man that is 6 feet tall is at the percentile of this height distribution. (Enter the nearest whole number.) What is the 25th percentile, to the nearest inch
Answer:
a) 84th percentile.
b) The 25th percentile is of 67 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The heights of the men age 18 and over in HANES5 averaged 69 inches; the SD was 3 inches.
This means that [tex]\mu = 69, \sigma = 3[/tex]
Such a man that is 6 feet tall is at the percentile of this height distribution.
6 feet = 6*12 inches = 72 inches. So this percentile is the p-value of Z when X = 72. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 69}{3}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84, so 84th percentile.
What is the 25th percentile, to the nearest inch
X when Z has a p-value of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 69}{3}[/tex]
[tex]X - 69 = -0.675*3[/tex]
[tex]X = 67[/tex]
The 25th percentile is of 67 inches.
(-64c)(-1) if c = -1.
Answer:
-64
Step-by-step explanation:
Does the point (5, 24) lie on the line y = 5x - 1?
Answer:
Step-by-step explanation:
Because 5x - 1 = 55 - 1 = 24 = y
Answer:
YesStep-by-step explanation:
[tex]( 5 \: \: \: \: \: \: \: \: 24) \\ replace \: \: \: x \: \: \: and \: \: y \\ y = 5x - 1 \\ 24 = 5 \times 5 - 1 \\ 24 = 25 - 1 \\ 24 = 24[/tex]
The point (5, 24) lie on the line y = 5x - 1Help me please I don’t understand
=========================================
Explanation:
The perimeter around the circle, aka circumference, is found through this formula
C = 2*pi*r
That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.
For the outer larger semicircle, that curved distance is exactly 14pi
For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.
The total curved portions is 14pi+7pi = 21pi
Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14
This is the exact perimeter in terms of pi.
The last thing to do is replace pi with 3.14 and simplify
21pi+14 = 21*3.14+14 = 79.94
This value rounds to 80
solve equations using inverse operations HELP NOW!!
Algebra
The inverse of -9n is dividing by -9.
[tex]n = - 5[/tex]
Answer:
n=−5
Step-by-step explanation:
what we have −9n=45
we divide -9 on both sides:
−9n/-9 =45/-9
n=−5
Hope this is right!
4 to the power of -3 as fraction
Answer:
Step-by-step explanation:
4^-3
=1/4^3
=1/64
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]4^{-3} = 0.015625[/tex]
[tex]0.015625 = \frac{1}{64}[/tex]
7. If ∠EAC measures 120oand ∠HBI measures 84o, find the measure of ∠BCA.
A.m∠BCA = 60
B.m∠BCA = 84
C.m∠BCA = 36
D.m∠BCA = 54
Given:
m∠EAC = 120° and m∠HBI = 84°.
To find:
The measure of ∠BCA.
Solution:
If two lines intersect each other then the vertically opposite angles are equal.
[tex]\angle HBI \cong \angle ABC[/tex] (Vertically opposite angles)
[tex]m\angle HBI = m\angle ABC[/tex]
[tex]84^\circ = m\angle ABC[/tex] ...(i)
If two angles forms a linear pair, then their sum is 180 degrees.
[tex]m\angle BAC+m\angle EAC=180^\circ[/tex] (Linear pair)
[tex]m\angle BAC+120^\circ=180^\circ[/tex]
[tex]m\angle BAC=180^\circ-120^\circ[/tex]
[tex]m\angle BAC=60^\circ[/tex] ...(ii)
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
[tex]m\angle ABC+m\angle BAC+m\angle BCA=180^\circ[/tex] (Angle sum property)
[tex]84^\circ+60^\circ+m\angle BCA=180^\circ[/tex] [Using (i) and (ii)]
[tex]144^\circ+m\angle BCA=180^\circ[/tex]
[tex]m\angle BCA=180^\circ-144^\circ[/tex]
[tex]m\angle BCA=36^\circ[/tex]
Therefore, the correct option is C.
। Find the H.C. F. of :
x2+ 2xy+y and 3ax+3ay
Answer:
Factorizing 4x2 - 9y2, we get
(2x)2 - (3y)2, by using the identities of a2 - b2.
= (2x + 3y) (2x - 3y)
Step-by-step explanation:
A type of cat food contains chicken bones and chicken pieces in the ratio 20:7. What
weight of chicken pieces is needed to make 2 kg of cat food?
Answer:
0.5185 kg are needed to make 2 kg of cat food
Step-by-step explanation:
Chicken bones and chicken pieces in the ratio 20:7
This means that [tex]\frac{20}{20 + 7} = \frac{20}{27}[/tex] of the total weight is of bones and [tex]\frac{7}{27}[/tex] is of pieces.
What weight of chicken pieces is needed to make 2 kg of cat food?
7/27 of 2kg. So
(7/27)*2 = 14/27 = 0.5185 kg
0.5185 kg are needed to make 2 kg of cat food
Solve for x in the diagram below
Answer:
26.67
Step-by-step explanation:
Consider the LD50 of Drug X above. Draw a vertical dashed line starting at 10 mg/kg on the x-axis and ending on the graphed line. Draw a horizontal line starting at 50% on the y-axis and ending on the graphed line. This is the LD50 of Drug X. What is the LD50 of Drug X
Solution :
LD50 is a test that used by the scientist and by the medical practitioners to determine the toxicity of any chemical compounds. It involves introducing the different dose levels of the chemical compound that is to be tested to the group of the experimental subjects.
The LD50 graph of the Drugs X is attached below.
From the graph, we can see that the LD50 level of the drug X is 10 mg/kg.
A tank contains 1000L1000L of brine with 20kg20kg of dissolved salt. Pure water enters the tank at a rate of 15L/min.15L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. Answer the following questions. 1. How much salt is in the tank after tt minutes
Answer:
there is 15[tex]e^{ \frac{-t}{100}[/tex] amount of salt in the tank after t minute.
Step-by-step explanation:
Given the data in the question;
tank contains 1000L of brine with 20kg of dissolved salt, Pure water enters the tank at a rate of 15L/min.
How much salt is in the tank after t minutes.
Now,
let x represent the amount of salt after t minutes,
so
x(0) = 15
dx/dt = rate in - rate out
Now, since the water entering is pure, the rate in is 0
rate out will be; x/1000 × 10 kg
∴
dx/dt = -x/100
[tex]\frac{1}{x}[/tex]dx = -[tex]\frac{1}{100}[/tex]dt
∫[tex]\frac{1}{x}[/tex]dx = -[tex]\frac{1}{100}[/tex]∫1dt + c
lnx = -[tex]\frac{t}{100}[/tex] + c
Now since x(0) = 15
ln15 = c
lnx = -[tex]\frac{t}{100}[/tex] + ln15
x = [tex]e^{ \frac{-t}{100} + ln15[/tex]
x = 15[tex]e^{ \frac{-t}{100}[/tex]
Therefore, there is 15[tex]e^{ \frac{-t}{100}[/tex] amount of salt in the tank after t minute.
What one is the answer a B or C
Answer:
1
Step-by-step explanation:
a it is 1 because
can u see perpedicular symbol
Answer:
1 line.
A perpendicular line is a line that meets another line and forms a 90° angle.
If you look at the diagram, only the middle line forms a 90° angle when it meets line AB
Trong không gian với hệ tọa độ Oxyz cho điểm A( 1;2;1) , mặt phẳng ( ) : 4 0 x y z và
mặt cầu ( ) : 1 1 4 36 S x y z 2 2 2 . Gọi (P) là mặt phẳng đi qua A , vuông góc với ( ) và
đồng thời (P) cắt mặt cầu (S) theo giao tuyến là một đường tròn có bán kính nhỏ nhất. Biết rằng phương
trình của mặt phẳng (P) khi đó là ax by cz a b c 1 0 ( , , ) . Tính giá trị biểu thức T a b c 2 .
A. T 5
.
B. T 3
.
C. T 10
.
D. T 1
.
Answer:
lỗi text rồi. ko đọc dc :))
Help please and thanks...
X=
140
120
100
Answer:
I think 140
Step-by-step explanation:
180=x+30+10
x=180-40
x=140
What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
Answer:
V=147
Step-by-step explanation:
V=whl
V=6 inches*3.5 inches*7 inches
V=147
Besties pls help!!!!
8) In the diagram below, what is the m
measure of R.
Let's see what we can fill in here.
<ACE = 130
180 - 50 = 130
Now that we have two sides and an included angle, we can use the Law of Cosines.
Law of Cosines: c^2 = a^2 + b^2 - 2ab(cos(C))
Let's plug in what we know and solve!
c^2 = 40^2 + 38^2 - 2(40)(38)(cos(130))
R = 70.69706
Hope this helps!! :)
Answer:
R =70.6970629
Step-by-step explanation:
We need to use the law of cosines since we have 2 sides and the included angle
The angle inside is 180 -50 = 130
c^2 = a^2 + b^2 − 2ab cos(C) where c is the side opposite the unknown angle
R^2 = 40^2 + 38^2 - 2*40 *38 cos (130)
R^2 = 1600 -1444-3040cos 130
R^2 = 3044-3040cos130
R^2 =4998.074333
Taking the square root of each side
sqrt(R^2) = sqrt( 4998.074333)
R =70.6970629
How many centimeters are equal to 9 meters? Enter your answer in the box.
Answer:
900 centimetres
Step-by-step explanation:
9x100=900
how can u stand applying math to every thing doesn't it make every thing repetitive and why does every thing need a pattern doesn't that just make every thing worthless cause what's the point if every thing repeats and no this is not about history
Sixth grade
Jacob is planting flowers for his grandmother. This morning, he spent an hour planting
annuals and an hour planting perennials, but he planted more annuals than perennials. This
afternoon, he has the same number of annuals and perennials left to plant. Which will likely
take him more time to plant?
Step-by-step explanation:
Guess "This afternoon l,he has the same number of annuals and perennials left to plant will take more time to plant.
OFFERING 15 POINTS FOR THIS QUESTION PLS DONT SCAM
Answer:
96
Step-by-step explanation:
3^4 = 81
3 * 5 = 15
81 + 15 = 96
What is the volume of the right cone shown below?
Answer:
D
Step-by-step explanation:
It’s correct
[tex]\frac{1}{3} *\pi *6^{2}*27[/tex]
[tex]=324\pi[/tex]
What is the perimeter of parallelogram WXYZ?
In the diagram, WZ=root26
Answer:
Step-by-step explanation:
incomplete question.
Question Progress
Homework Progress
54/118 Marks
A semicircle has radius 8.2 cm.
Work out the area of this semicircle.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
Area = 105.6 square cm
Step-by-step explanation:
[tex]Area \ of \ circle = \pi r^2\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.142 \times 8.2^2 = 105.6cm^2[/tex]
If y varies inversely as the square root of x, what is the constant of proportionality if y = 16 when x = 4?
Nếu đồ thị của y=f(x) đi qua điểm (0,1), và dy/dx=xsin(x^2)/y, thì f(x)= ?
См. картинку во вложении, ответ отмечен красным цветом.
A person invests 3000 dollars in a bank. The bank pays 4% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 6500 dollars? A=P(1+\frac{r}{n})^{nt} A=P(1+ n r ) nt
Which inequality represents all values of X for which the product below is defined?
Answer:
x ≥6
Step-by-step explanation:
Given the product:
√(x-6)*√(x+3)
The function has to be defined if x ≥0
Hence;
√(x-6)*√(x+3)≥0
Find the product
√(x-6)(x+3)≥0
Square both sides
(x-6)(x+3)≥0
x-6≥0 and x+3≥0
x≥0+6 and x ≥0 - 3
x ≥6 and x ≥-3
Hence the required inequality is x ≥6
Write and equation of a line that passes through (-5, 6)
and is perpendicular to x=-2
Answer:
Step-by-step explanation:
Perpendicular means opposite reciprocal as far as the slope goes. The thing we need to know without prompting is that the given slope of x = -2 is a perfectly vertical line with an undefined slope, and that a line perpendicular to this one would have to be a perfectly horizontal line. Slopes of perfectly horizontal lines is always 0. Therefore, filling in the point-slope form of a line using the slope of 0 and the given point:
y - 6 = 0(x -(-5)) and
y - 6 = 0(x + 5) and
y - 6 = 0x + 0 so
y - 6 = 0 and
y = 6.