Answer:
The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.
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.
Mean of 3.3 units/mL
This means that [tex]\mu = 3.3[/tex]
Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 units/mL.
This means that when [tex]X = 5.9[/tex], Z has a pvalue of 0.98. So Z when X = 5.9, has a pvalue if 0.98, that is, Z = 2.054. We use this to find [tex]\sigma[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{5.9 - 3.3}{\sigma}[/tex]
[tex]2.054\sigma = 2.6[/tex]
[tex]\sigma = \frac{2.6}{2.054}[/tex]
[tex]\sigma = 1.2658[/tex]
The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.
find the angle measure x in the following figures
0.22 divided by 11 If you answer this you will be the BRAINLIEST
Answer:
0.02
Step-by-step explanation:
i dont know if u want explanation
Simplify the following expression. 3^2/5 x 3^(-7/5) A. 1/243 B. -14/25 C. 1/3 D. -3
Answer:
C
Step-by-step explanation:
3^2/5 x 3^-7/5
We know that a^b* a^c = a^(b+c)
3^(2/5 -7/5)
3^ (-5/5) = 3^ -1
We know that a^-b = 1/ a^b
3^-1 = 1 / 3
7 and - 1 1/2 on the number line?
Answer:
7 will lie on 0 and 1 and 1/2
What does A(2,5) become after rotated 360 degrees?
A) (-2,-5)
B) (5,-2)
C) (-5,2)
D) (2,5)
Answer:
D
Step-by-step explanation:
Its D because when you rotate 360 degrees you end up back where you were
Choose the theorem that proves these triangles are congruent.
Answer:
ASA
Step-by-step explanation:
If STV is congruent to UVT as UTV is congruent to SVT, then TV is a transversal which is congruent to itself. Therefore, reading left to right, the theorem that proves the triangles congruent is ASA because we have two pairs of congruent angles and one side.
Multiple choice
1. Cube
2.Triangular pyramid
3.Triangular prism
4. Rectangular prism
–5x+4
constant
coefficient:
variable:
Answer:
constant: 4
coefficient:-5
variable:x
Step-by-step explanation:
You can easily search up the definition of each word and figure it out just saying. It's fine if u wanna do this-
What is the PERIMETER of this green rectangle? 3 in. 7in
Answer:
20 in
Step-by-step explanation:
In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction of students in the class has protractors?
Answer:
[tex]\frac{11}{20}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5} - \frac{1}{4}[/tex] Subtract the students who don't have protractors from the students who have mathematical instruments.
[tex]\frac{11}{20}[/tex]
9514 1404 393
Answer:
3/5
Step-by-step explanation:
We assume that every student with mathematical instruments who hasn't lost their protractor will have a protractor.
If 1/4 of the students with instruments lost their protractor, then the remaining 3/4 of students with instruments still have their protractors. The fraction of the class with protractors is ...
(3/4)(4/5) = 3/5
3/5 of the students in the class have protractors.
Levi had 5 feet of wrapping paper. He then used 1 ¾ feet to wrap a box. How much wrapping paper does Levi have left?
HELP!!
$500 is invested at 4.3% annual interest for 18 months.
a. Simple Interest b. Compound Interest
Answer:
a. $532.25 b. $1247.40
Step-by-step explanation:
a. A=P(1+rt)
500(1+0.043*1.5)
b.A=P(1+r/n)^nt
500(1+0.043/1.5)^18*1.5
(not 100% sure on compound interest though, sorry )
Rent-a-hunk o’ junk charges 29.95 per day
Answer:
.
Step-by-step explanation:
Pls help me with this
Answer:
3.7 pi
Step-by-step explanation:
2 pi r( n/360)
22 pi(60/360)
3.7 pi= 11.6
Anyone know this......
The general equation is given as,
Un+1 = (Un)^3+2
here, n = number of the sequential entries like 0,1,2,3... so on.
so we get here as,
Uo = -3 , so we find U1 and U2
U1 = n+1 = 0+1
so,
===> U1 = (-3)^3 +2
===> U1 = -27 + 2 ==> U1 = -25
now, U2
U2 = n+1 = 1+1
so,
U2 = (-25)^3 + 2
U2 = -15625 + 2 ===> U2 = -15623
hence,
U1 = -25 and U2 = -15623
It’s only one question plz help (DON’T GUESS NO LINKS) please I will do anything there is a part two I’m struggling and this is the last assignment that will bring my grade up!!
Answer:
For question 1 it's B
For question 2 it's C
Step-by-step explanation:
For question 1, you have to apply the "Triangle Inequality Theorem"
A+B > C
B+C > A
A+C > B
Let's say that A=22, B=17, C= 14
22+17 > 14 True
17+14 > 22 True
22+14 > 17 True
Therefore, the answer is B
For question 2, you apply the rule of the sum of the triangles which is 180°
70+70+? = 180
140+? = 180
? = 40
Therefore, it's C
from
The data represented by the following stem-and-leaf plot range
to
2578
324
4129
503
Which of the following is most likely the next step in the series?
Answer:
Its D
Step-by-step explanation:
In a class of 28 students, 10 are female and 15 have an A in the class. There are 4
students who are female and have an A in the class. What is the probability that a
student chosen randomly from the class is a female who has an A?
Answer: 10 out of 28 chancd
Step-by-step explanation:
Answer:
4/28
Step-by-step explanation:
trust me
Help
Find the experimental probability that 4 of 4
children in a family are boys.
The problem has been simulated by tossing 4
coins (one to represent each child). Let "heads"
represent a boy and "tails" represent a girl. A
sample of 20 coin tosses is shown.
HTHн HTTH TTTT THTT НТНТ
HHTT HHHT THHT HTTH ТОНН
HTTT НТНТ ТОНН ТНТН HTHн
TTHT HTTT НТНТ HHHT HHHH
Experimental Probability = [?]%
Enter
Answer:
5%
Step-by-step explanation:
I didn't see any more than I HHHH
There are 20 total tosses.
1 was successful
P(4 heads)= 1/20
Experimental Probability = 1/20 * 100 = 0.05 * 100 = 5%
If you see more than one HHHH put the number that you count over 20 and multiply by 100.
Answer:
sorry sorry sorry sorry sorry
Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.
can some help me with the question below I don't know the answer
Answer:
y=4
Step-by-step explanation:
in a 45-45-90 triangle sides a and b are equal and the hypotenuse is [tex]a\sqrt{2}[/tex]
so in this case y is a leg, so it is 4
in case there is a part two where they ask what x is, it would be [tex]4\sqrt{2}[/tex]
3. A website allows users to download individual songs or whole albums.
All songs cost the same price to download. All albums cost the same price
to download, Karim pays $30 to download 5 songs and 2 albums.
Kimberlyn pays $26 for download 3 songs and 2 albums. What is the cost
to download 1 song? 1 album?
Answer:
Each song costs $2 and each album costs $10.
Step-by-step explanation:
Since a website allows users to download individual songs or whole albums, and all songs cost the same price to download and all albums cost the same price to download, and Karim pays $ 30 to download 5 songs and 2 albums while Kimberlyn pays $ 26 for download 3 songs and 2 albums, to determine what is the cost to download 1 song and the cost to download 1 album, the following calculations must be made:
5X + 2Y = 30
3X + 2Y = 26
(30 - 26) / (5 - 3) = X
4/2 = X
2 = X
Therefore, each song has a cost of $ 2.
Thus, to know the cost of each album (knowing that both downloaded the same amount, that is, 2), the following calculation must be performed:
5x2 + 2Y = 30
10 + 2Y = 30
2Y = 30 - 10
2Y = 20
Y = 20/2
Y = 10
Therefore, each album has a cost of $ 10.
Find x in each triangle.
Answer:
9
Step-by-step explanation:
9 squared plus 40 squared= 41 squared
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 6m and a diameter of 6m. The container will be made from steel (including its top and bottom). If the steel costs $27 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent
Answer:
The cost of required steel is [tex]169.56 *27 = 4578.12[/tex] dollars
Step-by-step explanation:
The surface area of cylinder will be equivalent to the area of the steel sheet.
Surface area of cylinder [tex]= 2\pi rh+2\pi r^2[/tex]
Substituting the given values we get
Surface area of cylinder
[tex]= 2*3.14*3*6 + 2*3.14 *3^2\\= 169.56[/tex]square meter
Cost of 1 square meter of steel is $27
Then, the cost of required steel is
[tex]169.56 *27 = 4578.12[/tex] dollars
Which triangles are similar to △DEF?
Answer:
I believe it should be feg
look at pic 10 pts will mark brainilest
Answer:
B
Step-by-step explanation:
1)
Volume=
Help hhvddhhdbdbdhdjdjddbbdbdbdbdbdbdbdbdbdbdbdbdbdbdb please
Answer:
there have to be a number
Step-by-step explanation:
Two dice are tossed. Find the probability of getting the sum of the dice equal to 1.
Here's the Answer,
the given outcome is an impossible event, because the sum of numbers can't be less than 2 hence, sum equal to 1 isn't possible.
And we know, the probablity of an impossible event is 0.
Find a such that the points A(1, 3), B(7, 8), and C(a, a) are collinear.
Answer:
a = 13
Step-by-step explanation:
a = 13