Hogie lizards have tail lengths that are normally distributed with a mean of 22.5 cm and a standard deviation of 3.6 cm. What tail length is at the 40th percentile for these lizards?
A tail length of 23.94 cm is at the 40th percentile for these lizards.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean,\sigma\ is\ standard\ deviation\\\\\\Given\ that:\\\mu=22.5\ cm,\sigma = 3.6\ cm[/tex]
For the 40th percentile, that is z = 40% = 0.4:
[tex]0.4=\frac{x-22.5}{3.6} \\\\x=23.94\ cm[/tex]
A tail length of 23.94 cm is at the 40th percentile for these lizards.
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The school bus goes 300 miles in 5 hours. What
is the average miles per hour?
Answer:
60 average miles per hour.
Step-by-step explanation:
300÷5=60
Hope this helps!
What is auto insurance?
Answer:
the second option.
a policy that pays to get your vehicle replaced or repaired incase of an accident.
Step-by-step explanation:
Is there a formula for
[tex] {a}^{m} + {a}^{n} [/tex]
?
Answer:
No
Step-by-step explanation:
There is no formula
There is no formula
What is the mathematical formula of ligma
Who's Joe? I am in dire need of therapy.
A group of pupils calculated their average score for a Mathematics
test. If one of them scored 9 marks more, their average score would
be 81. If one of them scored 3 marks less, their average score would
be 78. How many pupils were there in the group?
Answer: 4
Step-by-step explanation: +9-(-3)=12
81-78=3
so 12/3=4
what is the equivalent factor of 21 +99
Answer:
3(7+33)
Step-by-step explanation:
Evaluate 3x2 - 2xy + 4y2 for x = -1 and y = -2. .
Answer:
The answer is 12
Step-by-step explanation:
3x² - 2xy + 4y²
Let x = -2
y = -1
3(-2)² - 2(-2)(-1) + 4(-1)²
= 3(4) - 2(2) + 4(1)
= 12 - 4 + 4
= 12
due in 1 hour please help
Answer:
1 2 3 4 = 123.23
Step-by-step explanation:
A video game is on sale for 30% off the
regular price of $50. What is the sale
price of the video game
A.$20
B.$30
C.$33
D.$35
Answer:
d! 35 ......!!!!!!!!!!!!
A part-time handyman made $8798.04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?
Answer: HIs income was $6744.04
Step-by-step explanation: 8798.04 + 3650 - 5700 = 6744.04 Hope this helps!
The taxable income last year is $552.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It from simdiffers ple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
We have,
Last year, a part-time housekeeper earned $8798.
He claimed he was exempt, costing $365.
$570.00 is the standard deduction.
Gross income less the standard deduction and all exemptions equals taxable income.
= 8798 - 3650 - 5700
= $-552
The negative sign indicates that he owes no taxes.
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When two numbers are multiplied to get product, each number is called a(n)?
1.factor
2.substitute
Answer:
Each number is called a factor
Step-by-step explanation:
The multiplication of two numbers is equivalent to adding as many copies of one of them
Write the following as a mathematical sentence. Use the letter n as your variable.
Seven less than a number is two.
Answer:
n-7=2
Step-by-step explanation:
We can start with one side, which is: seven less than a number
Since the number is n, seven less than it is n-7
The other side 2, as we can see after the word is
The equation, therefore, is
n-7=2
Determine whether each sequence is geometric. Explain.
256, 128, 64, 32, ...
Answer:
Its geometric because each number is being divided by 2.
I need help!! 6-10!!!!!!!!!!!!!!!!
simplify 8x-5-10x+7 GCF
Answer:
-2x + 2
Step-by-step explanation:
6(2x + 4) = 3(4x + 8)
Please answer this!
Answer:
Infinitely many solutions
Step-by-step explanation:
6(2x + 4) = 3(4x + 8)
Distribute the 6
6 * 2x = 12x and 6 * 4 = 24
12x + 24 = 3(4x+8)
Distribute the 3
3 * 4x = 12x and 3 * 4 = 24
12x + 24 = 12x + 24
On both sides of the equal sign we have 12x + 24.
When both sides are equal there are infinitely many solutions.
What is the missing addend what +10=235
Find the equation of the line passing through point (-1, -2) and having
slope 1/5. Show work.
Answer:
Y=1/5x+ -2
Step-by-step explanation:
Hope this helps
A college is selling tickets to the annual battle of the bands
competition. On the first day of ticket sales, the college sold 3
student tickets and 5 adult tickets for a total of $70. On the
second day, the college sold 12 student tickets and 12 adults
tickets for a total of $216.
Use elimination to solve the system of linear equations and
determine the price of each student ticket, x, and each adult
ticket, y. Write your answer as an ordered pair (x,y).
Answer:
Step-by-step explanation:
Answer:
(10,8)
Step-by-step explanation:
212 + 115 × 6 + 968 HELP ME please!
Answer:
1870
Step-by-step explanation:
Answer : 1,870
Step - by - step explanation :
When there is multiple math signs in a problem you use PEMDAS . . .
Parentheses, Exponents, Multiplication and Division ( from the left side to right ), Addition and Subtraction ( from the left side to right )
212 + 115 x 6 + 968 --> 212 + 690 + 968
212 + 690 + 968 --> 902 + 968
902 + 968 --> 1,870
c-3=6
x+8=18
y-5=4
Please Show your Work For each problem.
Answer:
1. 9
2. 10
3. 9
Step-by-step explanation:
c-3=6
+3 +3
-----------
c = 9
x+8=18
-8 -8
------------
x = 10
y-5=4
+5 +5
------------
y = 9
hope this helps! :D brainliest would be very, very much appreciated!! <3
In a class of 50 students, suppose 27 are right-handed, 9 are left-handed, and 14 are ambidextrous. All but 2 of the left-handed are also left-foot dominate. If one student is randomly selected from the class. find the probability of choosing a left-handed student who is right-foot dominate
Estimate the quotient. 2,506 / 2
Answer:
1253
Step-by-step explanation:
2500/2 is 1250.
so 2506/2 will be a bit above.
1253 is an estimate
Which expression is equivalent to (3 the square root of 2^5)^1/4
A- 2 5/12
B- 2 12/5
C- 2 2/20
D- 2 3/4
Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comma, minus, 7, comma, minus, 3, comma, point, point, point. c(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus
Answer:
c(1) = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
Given arithmetic sequence is,
-15, -11, -7, -3...........
Common difference between each successive and previous term is,
d = -11 - (-15)
= -11 + 15
= 4
Since recursive formula of the arithmetic sequence is represented by,
a₁ = First term of the sequence
a(n) = a(n - 1) + d
where a(n) is the nth term and a(n-1) is the previous term of the nth term.
Form the given sequence,
c₁ = -15
c(n) = c(n - 1) + 4
Step-by-step explanation:
9. A box of cereal weighs 600 grams. How much is this weight in pounds?
Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds)
Answer:
1.323 pounds I think I'm not too sure thi sorry
Answer:
1.32 pounds
Step-by-step explanation:
convert 1kg to 1000g
[tex]1000g = 2.2pounds[/tex]
Find out how many pounds per 100g
[tex]100g = 0.22 \: pounds[/tex]
multiply by 6 to get 600g and multiply right hand side of the equation as well
[tex]600g = 0.22 \times 6[/tex]
[tex]600g = 1.32 \: pounds[/tex]
Derivative of tan^2 x
Answer:
[tex]2sec^2xtanx[/tex]
Step-by-step explanation:
[tex]\frac{d}{dx} tan^2x[/tex]
[tex]\frac{d}{dx} tanxtanx[/tex]
[tex](\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)[/tex]
[tex]\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
[tex](sec^2x)(tanx)+(tanx)(sec^2x)[/tex]
[tex]2sec^2xtanx[/tex]
Helpful tips:
Product Rule: [tex]\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)[/tex]
Quotient Rule: [tex]\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}[/tex]
Pythagorean Identity: [tex]cos^2x+sin^2x=1[/tex]
What is 26% as a fraction in simplest form?
A. 26/100
B. 26/10
C. 6/25
D. 13/50
Answer:
it'd be d: 13/50 !!
Answer:
D. 13/50
Step-by-step explanation:
0.26 ⇔ 26/100 ⇔ 13/50
Which is the equivalent of 0.00000000989 in proper scientific notation?
Answer:
9.89×10^-9
Step-by-step explanation:
0.000 000 009 89 = 9.89×10^-9
__
We have introduced spaces in the number to make the digits easier to count. (Some technical publications will write the number with thin spaces for just that reason.) The most-significant digit is in the 9th place to the right of the decimal point, so has a place value of 10^-9.