4.4.3 Test (CST) Continuous Probability Distributions
PLEASE HELP!!!
The head-to-tail length of a species of fish is normally distributed, with a mean of 17.4 cm and a standard deviation of 3.2 cm. One fish is 15.3 cm long. What is the z-score of the length of this fish? Round your answer to two decimal places.
A. -0.86
B. -0.66
C. 0.86
D. 0.66
Answer:
B
Step-by-step explanation:
We have that for a normal distribution, the value of z can be calculated using the following formula:
z = (x - m) / sd
where x is the value to evaluate, m the mean and sd the standard deviation, we have those values x = 15.3, m = 17.4 and sd = 3.2
if we replace we have:
z = (15.3 - 17.4) /3.2
z = -0.65625
if we round to 2 decimal places, it would be -0.66, that is, the answer is B.
A Z-score helps us to understand how far the data is from the mean. The z-score of the given length of this fish is -0.66. The correct option is B.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
z-score = (x-μ)/σ
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
Given that the length of a species of fish is normally distributed, with a mean(μ) and the standard deviation(σ) is 17.4 cm and 3.2 cm. Therefore, the z-score of the length of this fish is,
z-score = (x-μ)/σ
= (15.3 - 17.4) / 3.2
= -2.1/3.2
= -0.65625
= -0.66
Hence, the z-score of the given length of this fish is -0.66.
Learn more about Z-score here:
https://brainly.com/question/13299273
#SPJ2
Select the correct comparison.
A. The typical value and the spread are both greater in set B.
B. The typical value is greater in set B. The spread is greater in set A.
C. The typical value and the spread are both greater in set A.
D. The typical value is greater in set A. The spread is greater in set B.
Answer:
The typical value is greater in set A. The spread is greater in set B.
Step-by-step explanation:
A P E X, hope it helps.
Answer:
it's B
Step-by-step explanation:
took the quiz
What is the answer to114 times 12
A n s w e r :
1368.00
Melany takes her little sister to the zoo. They go see their favorite animal, the giraffe. At the gift shop, Melany buys a stuffed giraffe for her little sister that has a scale on 4 in : 3 ft. If the real giraffe is 18 feet tall, how tall is the stuffed giraffe, in inches?
Let us set up a proportion.
4/3 = 18/t
Let t = height of giraffe (in inches)
We also have to change units to make our math work easier.
There are 12 inches in one foot.
So, 3 feet = 36 inches and 18 feet = 216 inches.
Our new proportion set up is:
4/t = 36/216
36t = 4(216)
36t = 864
t = 864/36
t = 24
The toy giraffe is 24 inches tall.
A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 39 minutes ? In 1 hour ?
Step-by-step explanation:
1 and 3/4 miles ???? miles
-------------------- = ---------------------
2 and 1/3 minutes 39 minutes
Cross multiplies:
(1 and 3/4) x 39 = (2 and 1/3) x ?
7/4 x 39/1 = 7/3 x ?
273/4 = 7/3 x ?
? = 273/4 * 3/7 = 39*3/4 <---- 7 x 39 = 273
= 117/4
= 29 and 1/4
---------------------------------------------------------------
1 and 3/4 miles ?
------------------ = ------------------
2 and 1/3 min 60 min
(1 and 3/4) * 60 = (2 and 1/3) * ?
7/4*60/1 = 7/3 * ?
105 = 7/3 * ?
? = 105*3/7
= 315/7
= 45
working conditions in the United States in the early 1900's can best be described as?
a. beneficial
b.atroious
c. rewarding
d. simple
My cake recipe calls for 2/3 cup of chocolate chips. I want my cake to be three
times more chocolatey than that. How many cups of chocolate chips should I
use? *
What equation can be written for 29 is 6 more then k? what is K?
Answer:
k = 23
Step-by-step explanation:
Can someone please help me I need help
Answer:
1/2
Step-by-step explanation:
area of entire rectangle = 20(8) = 160 sq in
the two triangles are congruent and each have a base of 10 and a height of 8, so their combined area is 80
80/160 = 1/2
Help pleaseeeeeeeeeeeeeeeeee
Answer:
x + 2/3=29/5
x=29/5 - 2/3
x= 77/15
i don't know if this is what you're asking for.
sorry if its not
Hank’s Fried Chicken has $1,692 extra this month to give its employees as a bonus. Each employee received $53 as their bonus. How many people work for Hank’s Fried Chicken?
Given:
Total amount of bonus = $1,692
Bonus received by each employee = $53
To find:
The Number of people work for Hank’s Fried Chicken.
Solution:
We need to divide the total bonus by the bonus of each employee to get the number of people work for Hank’s Fried Chicken.
[tex]\text{Number of people}=\dfrac{\text{Total amount of bonus}}{\text{Bonus received by each employee}}[/tex]
[tex]\text{Number of people}=\dfrac{1692}{53}[/tex]
[tex]\text{Number of people}=31.92453[/tex]
Number of people must be whole number. So, approx the value to the preceding whole number.
[tex]\text{Number of people}\approx 31[/tex]
Therefore, 31 people work for Hank’s Fried Chicken.
Need Help ASAP WILL MARK YOU BRAINLYEST
he divided by 2 instead of taking the square root so the actual answer should be 26 and for the second the 20 is across from the 90 so its suppose to be c
the answer should be 16
solve each equation.
Answer:
1. D. 7, -13
2. A. no solution
3. C. 5, -9
Step-by-step explanation:
A triangle has an area of 41.5 square centimeters and a base of 8.3 centimeters. What is the height?
Answer:
10 cm
Step-by-step explanation:
[tex]\boxed{area \: of \: traingle = \frac{1}{2} \times base \times height}[/tex]
Substitute known values into the formula:
41.5= ½ ×8.3 ×height
41.5= 4.15 ×height
height
= 41.5 ÷4.15 (÷4.15 on both sides)
= 10cm
Answer:
10 cm.
Step-by-step explanation:
You will first need the formula for finding the Area of a Triangle:
Area = 1/2(Base x Height)
Next, we need our known measurements to plug into the Equation:
41.5 Sq Cm = 1/2(8.3cm x Height)
After that, multiply the equation by 2
2 x 41.5 = (2 x 1/2) x (8.3cm x Height)
∨
83 sq cm = 8.3 cm x Height
Finally, divide your area by 8.3 cm:
83 / 8.3 = 10cm = Height
So, the answer is Height = 10 cm.
Good Luck!CAN SOMEONE HELP PLEASE ASAP!!! ILL MAKE YOU BRAINLIEST
Answer:
I think the answer is D but I'm not 100 percent sure. I hope this helps
Step-by-step explanation:
I think I took this test before
Help
a.66 b.124 c.114 d.132
Answer:
probably 66, because if m<CDA = 66 then so does m<BCD because they're both the same lengths
Considering only the values of [tex]\beta[/tex] for which [tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex] is defined, which of the following expressions is equivalent to [tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex]?
a. [tex]\sec \beta \cot \beta[/tex]
b. [tex]\tan \beta[/tex]
c. [tex]\cot \beta \tan \beta[/tex]
d. [tex]\tan \beta \csc \beta \sec \beta[/tex]
[tex]\large\boxed{Answer:}[/tex]
We will use trigonometric identities to solve this. I will use θ (theta) for the angle.
First of all, we know that cotθ = 1/tanθ. This is a trigonometric identity.
We can replace cotθ in the expression with 1/tanθ.
[tex]sin\theta tan\theta sec\theta \frac{1}{tan\theta}[/tex]
Simplify: 1/tanθ * tanθ = tanθ/tanθ = 1
So now, we have:
[tex]sin\theta sec\theta[/tex]
Next, we also know that secθ = 1/cosθ. This is another trigonometric identity.
We can replace secθ with 1/cosθ in our expression.
[tex]sin\theta \frac{1}{cos\theta}[/tex]
Simplify:
[tex]\frac{sin\theta}{cos\theta}[/tex]
Our third trigonometric identity that we will use is tanθ = sinθ/cosθ.
We can replace sinθ/cosθ with tanθ.
Now we have as our final answer:
[tex]\large\boxed{b.\ tan\theta}[/tex]
Hope this helps!
Answer:
[tex] \huge \boxed{ \boxed{ \red{b) \tan( \beta ) }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASgiven:[tex]\sin \beta \tan \beta \sec \beta \cot \beta[/tex]tips and formulas:[tex] \tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) } [/tex][tex] \cot( \theta) = \dfrac{ \cos( \theta) }{ \sin( \theta) } [/tex][tex] \sec( \theta) = \dfrac{1}{ \cos( \theta) } [/tex]let's solve:[tex] \sf rewrite \: \tan( \beta ) \: as \: \dfrac{ \sin( \beta ) }{ \cos( \beta ) } : \\\sin (\beta ) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \sec (\beta ) \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \sec( \beta ) \: as \: \dfrac{1 }{ \cos( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot\cot (\beta)[/tex][tex] \sf rewrite \: \cot( \beta ) \: as \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) } : \\\sin (\beta) \cdot\frac{ \sin( \beta ) }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \sin( \beta ) }[/tex][tex] \sf \: cancel \: sin : \\\sin (\beta) \cdot\frac{ \cancel{\sin( \beta ) }}{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \dfrac{ \cos( \beta ) }{ \cancel{\sin( \beta ) }} \\ \sin (\beta) \cdot\frac{ 1 }{ \cos( \beta ) } \cdot \frac{1}{ \cos( \beta ) } \cdot \: \cos( \beta ) \\ [/tex][tex] \sf cancel \: cos : \\ \sin (\beta) \cdot\frac{ 1}{ \cos( \beta ) } \cdot \frac{1}{ \cancel{ \cos( \beta )} } \cdot \: \cancel{ \cos( \beta ) } \\ \\ \sin( \beta ) \: \cdot \: \dfrac{ 1 }{ \cos( \beta ) } [/tex][tex] \sf \: simplify \: multipication : \\ \dfrac{ \sin( \beta ) }{ \cos( \beta ) } [/tex][tex] \sf use \: \frac{ \sin( \beta ) }{ \cos( \beta ) } = \tan( \beta ) \: identity : \\ \therefore \: \tan( \beta ) [/tex]triangle CAT is translated using the rule (x,y) (x-3, y+4) to create triangle C’A’T’. if a line segment is drawn from point c to point C’ and from point A to point A’. which statement would best describe the line segments drawn
Answer:
They are parallel and congruent
Step-by-step explanation:
Help on this question pleaseeeeeeee
Step-by-step explanation:
F-27=19
F= 19+27
F=46
I hope it is helpful have a nice day
Answer:
answer is 46
Step-by-step explanation:
Solution for f-27=19 equation:
Simplifying
f + -27 = 19
Reorder the terms:
-27 + f = 19
Solving
-27 + f = 19
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + f = 19 + 27
Combine like terms: -27 + 27 = 0
0 + f = 19 + 27
f = 19 + 27
Combine like terms: 19 + 27 = 46
f = 46
Simplifying
f = 46
which diagram shows 1 and 2 as vertical angles
I really need this answer please help
Answer:
pretty sure D
Step-by-step explanation:
Answer this correctly I'll give brainalist + 10 points
Answer:
x=90-73=17
Step-by-step explanation:
Answer:
I think it might be 17... sorry if u get ir wrong
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number of textbook authors now sitting at a computer b. The height of a randomly selected giraffe c. The responce to the survey question "Did you smoke in the last week" d. The amount of rain in City B during April e. The time it takes to fly from City A to City B f. The number of light bulbs that burn out in the text week in a room with 17 bulbs a. Is the a discrete random variable, a continuous random variable, or not a random variable? A. It is a random variable. B. It is a random variable. C. It is not a random variable.
Answer:
Discrete variables are those whose distribution will only take a finite number of values which are represented by integer values only.
Continous variables on the other hand could have an infinite number of points inbetween two integer values. With the values inbetween being decimals.
Step-by-step explanation:
a. The number of textbook authors now sitting at a computer :
A discrete random variable
Number of authors will be an integer value.
b. The height of a randomly selected giraffe ;
Continous random variable
Possible height value : h > 0
c. The responce to the survey question "Did you smoke in the last week"
It is not a random Variable
The response isn't numeric
d. The amount of rain in City B during April
It is a continous random variable
Possible values ; amount of rain > 0
e. The time it takes to fly from City A to City B
It is a continous random variable
Time could take up seconds value ;
Possible values : t > 0
f. The number of light bulbs that burn out in the text week in a room with 17 bulbs
It is a discrete random variable
Number of bulbs is defined
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Yes
Step-by-step explanation:
So we substitute the point given x=-5 and y = -3 to see if this solves both equations at the same time so
3(-5) - 9(-3) = 12 -> -15+27 = 12 -> 12 = 12 [this one works]
8(-5) - 14 (-3) = 2 -> -40 + 42 = 2 -> 2=2 [this one works also]
Since (-5,-3) is a solution to both equations, then this is a solution to this system
Answer: Yes
Step-by-step explanation:
Here
x = -5
y = -3
3x - 9y = 12
Here if you substitute x and y,
3 * (-5) - 9 * (-3)
(-15) - (-27)
=12
8x - 14y = 2
8 * (-5) - 14 * (-3)
(-40) - (-42)
= 2
The temperature at 7 a.m. was -11°C. The temperature increased by 9°C during the
day arid then decreased by 4°C at 8 p.m. Which was the temperature at 8 p.m.?
A share of ABC stock was worth $60 in 2000 and worth $1920 in 2005.
Write an exponential function that models the value of the stock starting
from 2005.
Answer:
A share of ABC stock was worth $60 in 2005 and only worth $45 in 2010. ... diftolence b. Write an exponential function that ...
Can someone tell me how to do this task please?
Help me please help help help
Answer:
Step-by-step explanation:
at least.
PLEASE HELP‼️
A
B
C
D
Answer:
D
Step-by-step explanation:
hope this helps >.<
I NEED HELP WITH THIS ASAP THIS IS PART OF MY GRADE (no its not lol) THIS IS SOOO HARD CAN YOU ANSWER 2-2+2 OMG ITS HARD RIGHT???