The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of OC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find Q3, the third quartile.
A) 0.53
B) 0.67
C) -1.3
D) 0.82
Using the normal distribution, it is found that the third quartile is of Q3 = 0.67, hence option B is correct.
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.In this problem:
The mean is of 0ºC, hence [tex]\mu = 0[/tex].The standard deviation is of 1ºC, hence [tex]\sigma = 1[/tex].The third quartile is X when Z has a p-value of 0.75, as [tex]100\frac{3}{4} = 75[/tex], hence X when Z = 0.67.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.67 = \frac{X - 0}{1}[/tex]
[tex]X = 0.67[/tex]
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Using Trig to Find a Side
The value of the length x in a given triangle by using the trigonometry formula would be 9.6 units.
Given that,
A triangle UVW is shown in the image with sides and angles,
vw = 6.4
uv = x
And, ∠wuv = 42°
Used the trigonometry formula which states that,
[tex]\text{ sin x} = \dfrac{\text{ Opposite}}{\text{ Hypotenuse}}[/tex]
Here, we have;
An angle ∠wuv = 42°.
So, we get;
[tex]\text{ sin 42} = \dfrac{\text{ vw}}{\text{ uv}}[/tex]
Substitute given values,
[tex]\text{ sin 42} = \dfrac{\text{ 6.4}}{\text{ x}}[/tex]
Since, sin (42°) = 0.67
Hence,
[tex]0.67 = \dfrac{6.4}{x}[/tex]
Multiply by x on both sides,
[tex]0.67 \times x = 6.4[/tex]
Divide both sides by 0.67, we get;
[tex]x = \dfrac{6.4}{0.67}[/tex]
[tex]x = 9.55[/tex]
Round to the nearest tenth,
[tex]x = 9.6[/tex]
So, the value of x is 9.6 units.
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how to express each of the following ratios in simplest dorm
Step-by-step explanation:
I am sorry but please give detailed question
What do u get after dividing the sum of 352 and 698 by 5
Answer:
the answer to the question is 210
please answer, thank you in advance to whoever does !!!!
Answer:
B
Step-by-step explanation:
Move it down 3 units, then rotate it.
What is the 13th term of the geometric sequence
4, 12, 36, 108, ...?
Answer: 2,125,764
Step-by-step explanation:
You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term
The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:
y=4*3^(n-1)
Substitute 13 for n:
y=4*3^(13-1)
y=4*3^12
y=2125764
Therefore, the 13th term of this geometric sequence is 2,125,764
Jonah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would
Jonah use to make 1/2 of a recipe?
Write your answer as a fraction or as a whole or mixed number.
cups
Answer:
1/4 cup
Step-by-step explanation:
Assuming that the recipe makes 1 cup of dressing, Jonah would need 1/4 cup of vinegar. Half of 1/2 is 1/4.
please help me, and be nice, don't be a jer.k (you know who you are..)
ty :)
Answer:
y=-1/2x+3
Step-by-step explanation:
Step-by-step explanation:
Subtract x both sides
2y = 6 + (-x)
Divide by 2 both sides
y = 3 + (-1/2x)
y = -1/2x + 3
One gallon is approximately 3. 875 liters. Mario buys 1. 5 gallons of gasoline for his lawn trimmer. How many liters of gasoline, to the nearest tenth, did Mario buy?.
Based on the amount of gasoline Mario bought in gallons, the amount in liters would be 5.8 liters.
A single gallon is equivalent to 3.875 liters.
If Mario bought 1.5 gallons of gasoline, the amount he bought in liters would be:
= Gasoline in gallons x Number of liters per gallon
= 1.5 x 3.875
= 5.8125
= 5.8 liters
In conclusion, Mario bought 5.8 liters of gasoline.
Find out more at https://brainly.com/question/237650.
pls pls help i need help
Answer:
3 m/s/s
Step-by-step explanation:
F = ma
28 = 4m
m = 7
m is constant throughout
21 = 7a
a = 3
3 m/s/s
In the partially shown sequence: …, 17711, A, B, 75025, …, each new term is the sum of the two previous terms. Find the whole number value of A. I GIVE BRAINLIEST!
Answer:
24513
Step-by-step explanation:
help me pls..........
Answer:
1000x or 1000 thousand times greater
Step-by-step explanation:
every decimal to the left is 10x greater than the one right of it.
On Monday Tiffany spent 5 2/8 hours studying. On Tuesday she spent another 2 1/8 hours studying. What is the combined length of time she spent studying
Answer:
7 3/8 hours
Step-by-step explanation:
5 + 2 = 7
2/8 + 1/8 = 3/8
Therefore, 7 + 3/8 =
7 3/8 hours
name all the properties of a square
Answer:
Here :)
Equilateral Polygon,
Convex Polygon,
Cyclic
Isgonal Figure
Istoxal Figure
PLEASE HELP!!!!!!!!!!!!!
Plz help me answer this. Find the area plz ASAP
Answer:
42 square centimeters
I think that is the right answer
sorry if it is wrong
Answer:
7×6= 42 square centimeters
Can a right angle be formed by acute angles?
Answer:
Yes, 2 or more acute angles can be in a right angle based on the degree.
Step-by-step explanation:
A right angle is 90 degrees so any acute angle would be less than 90 degrees which means that there can be multiple acute angles based on the degrees. There can be 2 or more acute angles based on degrees that lead up to 90 degrees in total.
Adrian purchases a book for $9.86 and a poster for $3.49. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)
Will give brainly,5 stars,and thank if it CORRECTLY
Answer:
$31.68
Step-by-step explanation:
1.4 x 9.15 = $12.81
0.8 x 10.75 = $8.60
2.6 x 3.95 = $10.27
12.81 + 8.60 + 10.27 = $31.68
Sarah is buying gifts for her friends. She is purchasing phone cases and chargers. The phone cases cost $25 and the charges cost $30. She
plans on spending no more than $100 and wants to buy at least 4 gifts. Which inequalities would be used to model this situation?
Answer:
Step-by-step explanation:
Let P be the number of phone cases and C the number of chargers.
p($25) + C($30) ≤ $100
and
P + C ≥ 4
Complete all 10 problems
Answer:
11. 10+2r 12.-7v+7 13.1-2b 14. 5n+10 15. 12v 16.-12n 17. 0 18. -4n+10 19. 5b+9 20. 5v-8
Step-by-step explanation:
Sorry I don't have much time. I'll just send you a tip
If you complete all 10 problems, it's a lot of work... you shouldn't send just 5 points or everyone's not going to answer this.
You're lucky because I just answered this. Thanks!
:)
can you help solve this?
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
PLEASE HELP ASAP! I WILL MARK YOU BRAINLIEST.
Answer two questions about Equations A and B
A. 2x-1=5x
B.-1=3x
1)How can we get Equation B from Equation A?
Choose 1 answer:
A. Add/subtract the same quantity to/from both sides
B. Add/subtract a quantity to/from only one side
C. Rewrite one side (or both) by combining like terms
D. Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
A. Yes
B. No
Answer:
2x-1=5x
-1=3x
1.A. we take away 2x from both sides
2.A they are the same sine they both have the same solution of -1/3
Hope This Helps!!!
Answer:
Rewrite one side by combining like terms A yes the equations are equivalent meaning they have the same solution
Step-by-step explanation:
Hope this helped
how to find vertical asymptotes and horizontal asymptotes
Answer:
Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.
Step-by-step explanation: Correct me if i'm wrong lol.
Write an equation that represents the line plsss
Sonja has a bank account balance of $1400. Each week, her balance changes by-$85.25. She wants to keep the balance above $377. How many weeks will Sonja's balance remain above $377? Select from the drop-down menu to correctly complete the statement. Sonja's balance will remain above $377 Choose... v weeks.
Answer:
12 Weeks
Step-by-step explanation:
$1400 - $377 = $1023
1023 / 85.25 = 12 Weeks
Answer:
Its will take Sonja 12 weeks
Step-by-step explanation:
Please help! If you do tysm!!
Answer:
32 days
Step-by-step explanation:
5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.
hope that's right <3
Simplify using the laws of exponents.
[2⁴/2³]⁵
To know this answer we need to know how to solve it. Many people skip this part which makes their answer wrong.
It is asking us to simplify it using exponents.
Exponents are these little numbers beside a big number Telling it how much you multiply it by.
EXAMPLES
2^3 is just 2x2x2
2^4 is just 2x2x2x2
Notice the pattern? I hope so!
Now 2 to the power of 4 is 16. Our new equation looks like this
{16/2^3}^5.
Now 2 to the power of 3 is 8.
So, our new equation is
{16/8}^5
In which you get 2^5 which is just 2x2x2x2x2
And you get 32 as the final answer
I hope this helped and if you have questions just tell me!!
mooooooooo 4/9-4/10 =
Answer:
0.04444444444
Step-by-step explanation:
[tex]\\ \rm\rightarrowtail 4/9-4/10[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{40-36}{90}[/tex]
[tex]\\ \rm\rightarrowtail 4/90[/tex]
[tex]\\ \rm\rightarrowtail 2/45[/tex]