Answer: does
Step-by-step explanation:
Adult Great Basin rattlesnakes have a mean length of 32.3 inches and a standard deviation of 5.3 inches; the length of adult Southern Pacific rattlesnakes is also 32.3 inches on average, but with a standard deviation of 7.95 inches. Both species have lengths that follow a normal distribution. You select a random sample of 36 Great Basin rattlesnakes and 100 Southern Pacific rattlesnakes. Which is more likely be shorter than 29.65 inches
Using the normal distribution and the central limit theorem, it is found that the sample of 36 Great Basin rattlesnakes is more likely to be shorter than 29.65 inches.
Normal Probability DistributionIn 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.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For the Sample of 36 Great Basin rattlesnakes:
The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 5.3[/tex].Sample of 36, hence [tex]n = 36, s = \frac{5.3}{\sqrt{36}} = 0.88[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{29.65 - 32.3}{0.88}[/tex]
[tex]Z = -3.01[/tex]
For the Sample of 100 Southern Pacific rattlesnakes:
The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 7.95[/tex].Sample of 100, hence [tex]n = 100, s = \frac{7.95}{\sqrt{100}} = 0.795[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{29.65 - 32.2}{0.795}[/tex]
[tex]Z = -3.33[/tex]
Due to the higher z-score, the random sample of 36 Great Basin rattlesnakes is at a higher percentile, hence it is more likely to be shorter than 29.65 inches,
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
andre is making a dessert that calls for 1 1/3 cups of butter if he already has 1/4 cup of butter how much more does andre need
Answer:
1 1/12 cupsStep-by-step explanation:
Required amount of butter = 1 1/3 cupsAlready has = 1/4 of a cupNeeded:
1 1/3 - 1/4 = 4/3 - 1/4 = 16/12 - 3/12 = 13/12 = 1 1/12 cupsWhat is the value of x in the equation -2 = 5x + 3
Answer:
-1
Step-by-step explanation:
Simplify the inequalities and match them with the graphs that represent them. 7x < 42 3x >15 2x > 12 X + 1 < 8 T G DEL ਨੂੰ ਜਨ : ' ! 2 ! ! T } ts reserved
Answer:
14 times pie = 69
Step-by-step explanation:
what is a - 2b = -10 for b
Answer:
b=5
Step-by-step explanation:
Well, lets first divide by -2 on both sides. -10 divided by -2 is gonna be 5. So, b=5
A car dealership decreased the price of a certain car by 12%. The original price was $37,400.
Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price= × Original price
Use your answer in part (a) to determine the new price. Newprice: $
Answer:
(b) The new price of car is $43584.
Step-by-step explanation:
Will mark brainliest!
(please don't just copy your answer from another one. The other one available is wrong, so if you were to copy it, it would be a waste.)
How are rational exponents and radicals related? Summarize how to rewrite a rational power as a radical term using an example of your own.
Answer:
Hi
Step-by-step explanation:
Rational exponent are exponents written in the form of a fraction.
A rational power can be rewritten as a radical in the following way: the bottom of the rational exponent is the root, while the top of the rational exponent is the new exponent on the radical.
Example: X^(1/2)= √X
Please help will do anything thank you
Answer:
Step-by-step explanation:
a). Stock price arranged as arithmetic sequence will be,
5, 8, 11, 14
b). Since, explicit formula of an arithmetic sequence is given by,
[tex]a_n=a+(n-1)d[/tex]
Here, [tex]T_n[/tex] = nth term of the sequence
a = first term
n = number of term
d = common difference
From the table attached,
First term of the sequence 'a' = 5
Common difference 'd' = 8 - 5 = 3
Therefore, explicit formula for the given sequence will be,
[tex]a_n=5+3(n-1)[/tex]
[tex]a_n=2+3n[/tex]
c). Slope intercept form of the equation will be,
y = 3x + 2
d). Input out values for the graph of the given equation,
x 0 1 2 3
y 2 5 8 11
By using this data we can graph the line.
Write the equation of a parabola in vertex form,
f(x) = a(x – h)2 +k, with vertex (-1, 8) and
passing through (3,4)
You must show your work to receive full credit
Answer:
Step-by-step explanation:
Vertex-form equation for a vertical parabola with vertex (h,k):
y = a(x-h)²+k
Plug in coordinates of vertex:
y = a(x+1)²+8
plug in (3,4) and solve for a:
4 = a(3+1)²+8
a = -¼
The equation of the parabola is
y = -¼(x+1)²+8
Plssssssssssss.ssssssssss
Answer:
6 yards in two hours
Step-by-step explanation:
3 times 2 is six
Answer:
6 hours
Step-by-step explanation:
beacause if you times the 3×2=6hours
#carry on learning
15 is 9 more than j I need an equation
Answer: j = 6
Step-by-step explanation:
the answer is six because the question says 15 is 9 more which is simple subtraction so u do 15-9=6.
Answer:
you have 15 cats but your neighbor had 9 more than you but your mom has J cats. How many cats do you all have together
Step-by-step explanation:
¡Ayuda, por favor!
La fórmula de Lorentz para la contracción en la teoría de la relatividad relaciona la longitud L de un objeto, que se mueve a una velocidad de V con respecto a un observador, con su longitud L0 en reposo. Si c es la velocidad de la luz. entonces:
L²=L0 ² (1- V²/C²)
¿Para qué velocidades L será menor que 1/2 L0? Exprese su respuesta en términos de c.
Answer:
I don't understand.............
The segments shown below could form a triangle.
Answer:
False
Step-by-step explanation:
It's been a while since I did this but here we go:
So to find if the triangle lengths are possible, we take the shorter two lengths and we add them.
Those shorter two lengths sum have to be greater than the longest length.
I hope this helps.
$20 haircut; 10% tip Find the total cost
A. $2.00
B. $18.00
C. $22.00 0
D. $40.00
Answer:
answer is c
Step-by-step explanation:
Substitute the given value and evaluate the expression: ( 27 1/2 + E squared) ÷ 1/3, for E is = 5
Answer: 115.5
Step-by-step explanation:
[tex]\frac{(27 * \frac{1}{2} + e^{2} )}{\frac{1}{3} } \\\\e = 5\\\\\\27 * 0.5 + 5^{2} = 13.5 + 25 = 38.5\\\\\frac{38.5}{\frac{1}{3} } = 3 * 38.5 = 115.5[/tex]
What is the answer to the following equation:
1 + 1 = x
Answer:
1 + 1 = x
X = 2.
don't delete my answer this time.
again.. if you are so smart why didn't you solve it yourself.
I know how you'll take revenge.
by deleting. my answer ? you can do that if you want.
cause ill still get the point tho. LOL.
Evaluate -2x+6y when x= -3 y=-1
Answer:
0
Step-by-step explanation:
Substitute x for -3 and y for -1:
= -2(-3) + 6(-1)
= 6 + -6 (or 6 - 6)
= 0
A standard amount for a tip in a restaurant is 35% of the meal cost. True or false
Answer: False
Step-by-step explanation:
it’s usually 20%
Answer:
False
Step-by-step explanation:
1. Normally it is 20%.
2. Move yous decimal one place to the left
3. Round this number to the next easy coin amount
4. Double that number
That is roughly 20%
Bradley and Louie are roommates at college.
Bradley and Louie will share all the expenses for the apartment equally.
They pay a total of $1,213.50 for rent every month. They also pay $60 each month for electricity, $40 each month for water, and $75 for cable/Internet/wifi. How much does one person pay in total for one month?
Answer: one person ways 694.25 a month
Step-by-step explanation:
5. Which scenario matches the inequality?
3x < 12
Answer: B
Step-by-step explanation:
What is the y-intercept of the linear function?
y=5/2x-4
Can somebody help me, I'm being timed!
Answer:
I think its -- linear postulate
Step-by-step explanation:
1 bag of pretzels cost four dollars. Five bags of pretzels cost $12.00. Which has the lower unit price??
Answer:
The 5 bags of pretzels.
Step-by-step explanation:
Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00
Answer:
The second option
Step-by-step explanation:
In order to find the unit price of each, consider the quotient of amount of money per bag:
Case 1:
$4/ 1 bag
Case2:
$12 / 5 bags = $2.4 / 1 bag
Therefore, the second option is the one with lower unit price.
Jeremy used 5/6 slices of bread throughout the week. If there was 24 slices of bread, how many slices did Jeremy use?
18
18
18
18 dude the answer is 18
Answer:
18
Step-by-step explanation:
help? please give the right answer it’s urgent:(
Answer:
0.04
Step-by-step explanation:
What is the correct answer?
I believe the answer is 6, because you can add 6 + 6 to get 13, and I can see that 12 is in the decimal place, along with 30, 3 can be added twice to get 6, and since 30 has 3 in it, and can be added to 6 with 3's, that makes the answer 6.
what is the value of (3.9*0.27)+/0.6724
Answer:
1.7254
Step-by-step explanation:
(3.9)(0.27)+0.6724
= 1.053+0.6724
= 1.7254
hope I helped!!
Write -5 1/2
as a decimal number.
Will give brainliest
Gor is running a bakery he has made a street sign to direct people to his bakery
A 645
B 300
C 585
D 390
Answer:
C pls can i get brainlist
Step-by-step explanation:
Sam spins a wheel shown below. What is the probability that it lands on
a number less than 6?*
Answer:
No wheel shown
Step-by-step explanation:
