Using the principle of proportional relationship, the time taken by the turtle to walk one mile is 2.1667 hours
What is proportional relationship?
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Creating a system of proportional expression :
Cross multiply :
1.5t = (3.25 × 1)
1.5t = 3.25
Divide both sides by 1.5
t = (3.25 ÷ 1.5)
t = 2.1667 hours
Therefore, the time taken per mile is 2.1667 hours
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The turtle needs 2.16 hours to move a mile using the proportional relationship principle.
What does the word "proportional" mean?
Proportional relationships form when the ratios of two variables are equal. The fact that one variable is consistently equal to the constant value of the other in a proportionate connection is another way to think of them. The "constant of proportionality" is the name of this constant.
For instance, the time it takes a train to travel 50 kilometers per hour is equal to the time it needs to travel 250 kilometers in 5 hours. e.g., 250km/5 hours at 50 km/h.
Establishing a proportional expression system
Cross multiply :
1.5t = (3.25 × 1)
1.5t = 3.25
t = (3.25 ÷ 1.5)
t equals 2.16 hours
Consequently, the time required for each mile is 2.16 hours.
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Medical researchers are studying a certain genetic trait found in two populations of people, W and X. From an independent random sample of people taken from each population, the difference between the sample proportions of people who carried the trait (W minus X) was 0.22. Under the assumption that all conditions for inference were met, a hypothesis test was conducted using the following hypotheses.
H0 : pW=pXHa : pW > p XHo : pW= pX Ha: pW >pX
The p-value of the test was 0.03. Which of the following is the correct interpretation of the p-value?
a. The probability of selecting a person from population W who carries the trait is 0.22, and the probability of selecting a person from population X who carries the trait is 0.03.
b. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03.
c. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of 0.22 is 0.03.
d. If the difference in proportions of people who carry the trait between the two populations is actually 0.22, the probability of observing that difference is 0.03.
e. If the difference in proportions of people who carry the trait between the two populations is actually 0.03, the probability of observing that difference is 0.22.
Answer:
If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03
Step-by-step explanation:
Given the hypothesis :
H0 : pW = pX
Ha : pW > pX
W - X = 0.22
Pvalue = 0.03
Since the Pvalue gives the probability of obtaining a value or result figure which is atleast as extreme as the observed value. The observed value here is 0.22 resulting from the difference in W and X (W - X).
This can thus be interpreted to mean ; going by the Null (difference between W and X) ; the probability of obtaining a value of atleast 0.22 as difference is 0.03
write an expression based on description; use grouping symbols
1:The sum of 11 and n decreased by 9
2:The product of y less than 16 and 5
Answer:
it's your answer and make me barinly least
Find the missing values in the ratio table. Then write the equivalent ratios
k is decreased by 20
a number n increased by 18
Answer:
n+18
Step-by-step explanation:
Answer: n+18
Step-by-step explanation:
CONCEPT:
- a increased by b=a+b
- a decreased by b= a-b
- a multiply by b=ab
- a divided by b=a/b
SOLVE:
A number n increased by 18
(n) increased by (18)
n+18
Hope this helps!! :)
Please let me know if you have any questions
Help if you can please
Answer:
10 coconut cupcakes
Step-by-step explanation: so, here is what we do since there is 8 cupcakes sold and 4 of them are coconut cupcakes we divide. this is hard to explain but we know that 8 divided by 4 is 2 so we have to multiply to 20 so like 2 times 10 which gives us 20. then we use the answer that we got from multiplying which is 10 as our answer if that makes sense.
Calculate the slope of a line that goes through points (3, 4) and (0, 0).
Question 5 options:
3/4
3
4
4/3
Answer:
4/3
Step-by-step explanation:
0-4/0-3
-4/0-3
-4/-3
4/3
Answer:
Step-by-step explanation:
3\4
solve for a. 13/a= 104/152
The ring Zp^3 has exactly____maximal ideals
volume of a cylindrical can of juice is 500cm3 and the diameter of its base is 8 cm find the height of the can of pineapple juice
Answer:
23.864cm
Step-by-step explanation:
volume of a cylinder is found by using the above formula pie × radius² × height = AREA
22/7 × 8 × h = 600cm³
25.143h= 600cm³
600÷25.143 = 23.864cm
Height = 23.864cm
Solve the equation. Check your solution.
30) x/4 = 9
Answer:
x = 36
Step-by-step explanation:
x/4 = 9
multiply both sides by 4
x/4 (4) = 9(4)
x = 36
The answer is x = 36
We can check by plugging in x = 36 to the original equation:
x/4 = 9
(36)/4 = 9
9 = 9
Correct
what are the equivalent ratios to the number 65 : 100 ?
Answer:
THE ANSWER IS 13:20
Step-by-step explanation:
what are 4 major accomplishments in Will Smith's life?
Answer:
He first rapped as a duo named Dj Jazzy Jeff and the fresh prince in 1988, with the hit songs Summertime and Parents just don't understand
He then started his career as an actor with the hit sitcom The fresh prince of Bel-air in 1990
He then later gained more popularity in 1997 with hit songs like Gettin jiggy and Miami
He became a well-known actor for movies like Bad boys, Men in black, and the Aladin remake in 2019
Step-by-step explanation:
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Pls pick me as Brainliest!
Helppppp !!! Quick I’ll mark u brainlist
Answer:
it is b approximately 163 yards
How is solving a two-step INEQUALITY similar to and different from solving a two-step EQUATION?
Answer:
there both similar by using inverse operations to isolate the variable term by using addition or subtraction and multiplying or dividing to solve for the variable .
the difference is for an inequality if u multiply or divide by a negative number then u have to reverse the inequality symbol, for regular equations u don't have to do that , and for regular equations there is a equal sign and not a inequality symbol
Step-by-step explanation:
just explained it above
hope I helped ! pls mark me brainlest if I got it right thanks :)
What is the mean and MAD of this data set
Answer:
Option B will be your answer
Step-by-step explanation:
mean:6 gerbils
MAD:2.29
so its B
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have a great day!!
The question is in the pic pls help
Answer:
pink
Step-by-step explanation:
I don’t know why there’s so many numbers to this help me
Answer:
806,350.307eight hundred six thousand three hundred fifty and three hundred seven thousandthsStep-by-step explanation:
You are asked to add up these numbers and describe the number in words. The given form is called "expanded form". It shows you the place value of each digit.
The sum is ...
800,000 +6,000 +300 +50 +0.3 +0.007 = 806,350.307
In word form, this is ...
"eight hundred six thousand three hundred fifty and three hundred seven thousandths"
PLEASE ANSWER ILL GIVE YOU BRAINLIEST
Answer:
80.07 in^2
Step-by-step explanation:
The equation is given: SA = 2πrh
h (height) = 8.5
r (radius is half the diameter) = 3 / 2 = 1.5
SA = 2π (1.5) (8.5) = 80.07
solve -5 √x =-15
A. X= -9
B. X= -7
C. X= 9
D. X= 7
PLS HELP
MATH ILL GIVE BRAINLIST
Answer:
D. g(x) = [tex]\frac{1}{4}x^{2}[/tex]
Step-by-step explanation:
The correct formula for g(x) is the following
g(x) = [tex]\frac{1}{4}x^{2}[/tex]
when dealing with the square of a variable, the lower the number that you multiply it by, the wider the parabola will be. In this case multiplying f(x) by 1/4 would give us the parabola that passes by point (2, 1). We can prove this by substituting 2 for x like so...
g(2) = [tex]\frac{1}{4} * 2^{2}[/tex]
g(2) = [tex]\frac{1}{4} * 4[/tex]
g(2) = 1
100 times 5 dino nuggie is how much
Answer:
500 dino nuggies.
Step-by-step explanation:
Hope this helps
Answer:
500 dino nuggies!!!
Step-by-step explanation:
What is the total surface area of a rectangular prism whose net is shown 19 in. 17in. 6.in.
Answer:
1078in
Step-by-step explanation:
Surface area =2(wl+hl+hw)
2·(17·19+6·19+6·17)=1078in
2. A meeting room has 8 rows of
chairs. Each row has 10 chairs.
The first people to arrive fil 2 rows.
How many chairs are not filled?
Answer:60
Step-by-step explanation:
There are 80 chairs in all because 8 rows x 10 chairs per row. The first people fill two rows which is 20 chairs because each row is 10 chairs so 60 chairs are left
Rewrite 24 + 48 using GCF and the distributive property.
a: 12(3+1)
b: 24(1+2)
c: 3(12+6)
d: 5(2+3)
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 136 millimeters, and a variance of 36. If a random sample of 50 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 1.9 millimeters
Answer:
0.025 = 2.5% probability that the sample mean would differ from the population mean by greater than 1.9 millimeters
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean diameter of 136 millimeters, and a variance of 36.
This means that [tex]\mu = 136, \sigma = \sqrt{36} = 6[/tex]
Sample of 50:
This means that [tex]n = 50, s = \frac{6}{\sqrt{50}} = 0.8485[/tex]
What is the probability that the sample mean would differ from the population mean by greater than 1.9 millimeters?
This is the probability that it is less than 136 - 1.9 = 134.1 millimeters or more than 136 + 1.9 = 137.9 millimeters. Since the normal distribution is symmetric, there probabilities are equal, which means that we can find one of them and multiply by two.
Probability that it is less than 134.1 millimeters:
This is the pvalue of Z when X = 134.1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{134.1 - 136}{0.8485}[/tex]
[tex]Z = -2.24[/tex]
[tex]Z = -2.24[/tex] has a pvalue of 0.0125
2*0.0125 = 0.025
0.025 = 2.5% probability that the sample mean would differ from the population mean by greater than 1.9 millimeters
PLEASE HELP FAST
If -3y - 6 + 7y = 14, then y =?
Answer:
you solve for y and you'll get the final answe
Answer:
5
Step-by-step explanation:
- 3y - 6 + 7y = 14
7y - 3y = 14 + 6
4y = 20
y = 20 / 4
y = 5
f(x) = 3x – 5
g(x) = –6x2 + 6x + 2
Find: f(x) · g(x)
Answer:
f(x) = 3x - 5
g(x) = 6x^2 + 2x
Find: g(f(x))
method: for each x in g, substitute (3x-5)
g[f(x)]=6(3x-5)^2+2(3x-5)
=6(9x^2-30x+25)+6x-10
=54x^2-180x+150+6x-10
Step-by-step explanation:
please help me with this asap
Answer:
Upper left 10, upper right 2, lower left 3, lower right 3.
Step-by-step explanation:
they give us the upper left and lower right in the first two bullet points. Then “in total, 12 girls can sing”. 12 - the 10 who can sing and dance = 2 for upper right.
They also say there are 18 girls total. 18 - 10 - 3 = 3 for the lower left
For Tom's savings account, the interest earned varies jointly with the principal and amount of time (in years) since opening the account. If Tom opened the account 3 years ago with $1,200 and earned $144 in interest, how much interest will he have earned 8 years after opening the account?
Answer: 384 or 528 depending if you have to add the interest he already earned
Step-by-step explanation: