Answer:
a) About 68% of the data would be between 305 grams to 395 grams
b) About 95% of organs weighs between 260 grams and 440 grams
c)About 5% of organs weighs less than 260 grams or more than 440 grams
d) About 97% of organs weighs between 215 grams and 440 grams
Step-by-step explanation:
The empirical rule formula:
1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
(a) About 68% of organs will be between what weights?
We would be applying the First rule of the Empirical formula to this.
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
Mean = 350 grams
Standard deviation = 45 grams
Hence,
350 grams - 45 grams
= 305 grams
350grams + 45grams
= 395 grams
Therefore about 68% of the data would be between 305 grams to 395 grams
(b) What percentage of organs weighs between 260 grams and 440 grams?
Let try the second rule
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean = 350 grams
Standard deviation = 45 grams
μ - 2σ
= 350 - 2(45)
= 350 - 90
= 260
μ + 2σ
= 350 + 2(45)
= 350 + 90
= 440
Therefore, about 95% of organs weighs between 260 grams and 440 grams
(c) What percentage of organs weighs less than 260 grams or more than 440 grams?
Let try the second rule
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean = 350 grams
Standard deviation = 45 grams
μ + 2σ
= 350 - 2(45)
= 350 - 90
= 260
μ + 2σ
= 350 + 2(45)
= 350 + 90
= 440
Since, about 95% of organs weighs between 260 grams and 440 grams, the percentage of organs weighs less than 260 grams or more than 440 grams is calculated as:
100% - 95%
= 5%
Therefore, percentage of organs weighs less than 260 grams or more than 440 grams is 5%
(d) What percentage of organs weighs between 215 grams and 440 grams?
For 215 grams, we apply the 3rd rule to confirm
= 3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
Mean = 350 grams
Standard deviation = 45 grams
μ - 3σ
= 350 - 3(45)
= 350 - 135
= 215.
Hence, 99% of the organs weigh 215 grams
For 440, from the solve questions above, we know the second rule applies.
Hence,
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean = 350 grams
Standard deviation = 45 grams
μ + 2σ
= 350 + 2(45)
= 350 + 90
= 440
Hence,
99% + 95%/ 2
= 194% / 2
= 97%
Therefore, about 97% of organs weighs between 215 grams and 440 grams
6. What is the fractional equivalent of 3.15?
How to Write 3.15 or 315% as a Fraction?
Decimal Fraction Percentage
3.3 66/20 330%
3.25 65/20 325%
3.2 64/20 320%
3.15 63/20 315%
3.1 62/20 310%
3.70588 63/17 370.588%
3.5 63/18 350%
3.31579 63/19 331.579%
3 63/21 300%
Lisa mixed 1 part of apple juice and 2 parts of vanilla yogurt to make a smoothie. How many parts of apple juice did Lisa mix with each part of vanilla yogurt?
Put the following equation of a line into slop-intercept form, simplifying all fractions.
2y - x = -8
Answer:
y = x/2 - 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation
2y - x = -8
Step 2: Solve for y
Add x to both sides: 2y = x - 8
Divide both sides by 2: y = x/2 - 4
Solve the equation. Three-fourths times x equals 9. A. x equals 12. B. x equals 108. C. x equals 72. D. x equals four-ninths.
Answer:
The answer is A.) x = 12
Step-by-step explanation:
I hope this helps!
Answer: 12
Step-by-step explanation:
You have 15 marbles in your pocket. 5 are blue, 6 are red, and 4 are green. If you reach into your pocket and pull out a marble, what is the probability that the marble will be red?
Answer:
2 out of 5 chance of being red
Step-by-step explanation:
Write an Equation using the following arithmetic sequence: 5, _____, ______, -4.
What is |v + 81 – 5 = 2
Answer:
-1 , -15
Step-by-step explanation:
| v + 8 | - 5 = 2
(add 5 both sides)
| v + 8 | = 7
(create two equations
v + 8 = 7 v + 8 = -7
(subtract 8 both sides)
v = -1 and v = -15
Dmitar buys 2/3 pound of mixed nuts,1/2 pound of chocolate candies, and 1 1/4 of granola how much did dmitar spend to make the trail mix?
Answer: 11.70
Step-by-step explanation:
11. The first four terms of an AP, whose first term is -2 and common difference is -2 are
Answer:
- 2, - 4, - 6, -8
Step-by-step explanation:
If the first term of the arithmetic sequence is is -2 , and the common difference is -2, then we can generate the first four terms the following way:
a1 = - 2
a2 = - 2 - 2 = - 4
a3 = - 4 - 2 = - 6
a4 = - 6 - 2 = - 8
Find x and y (round to the nearest tenths is needed)
Picture below.. help
Answer:
x=11/2
y=11√3/2
Step-by-step explanation:
This is a 30°-60°-90° triangle. So if we call the short side x, then the 2nd longest side will be x√(3), and the hypotenuse is 2x.
So here we have 11 as the hypotenuse. So:
11=2x ---> x=11/2 and y=x√3=11√3/2
You could also just take the sine and cosine of the sides using either angle as well. But this is a common ration of sides that is talked about in Math classes; especially Trig.
Edit: I missed the part where you said you wanted rounded answers. Just plug the values into a calculator and round as needed.
Jhalen gave a presentation in health class about the importance of supportive sneakers. His presentation was 2/3 the length of Lenayah's presentation on medicine. Jhalen's presentation was 8 minutes. How long was Lenayah's presentation?
Answer: Lenayah's presentation was 12 minutes long.
Step-by-step explanation:
Set up a proportion. 2/3 = 8/x. Cross multiply. 2x = 24Divide both sides by 2. x =121. Given right triangle ABC with the right angle C and sin A = 1/3, which is of the following expression is also equal to 1/3?
A. cos B
B. cos(90° - A)
C. sin(90°- B)
D. Both A and B
2. The maximum slope for a hand propelled wheel chair ramp should be a 1-inch rise to every 12 inch of length. What is that maximum ramp angle recommended to the nearest degree?
Answer:
1) B
2) About 5°.
Step-by-step explanation:
1)
We can use the following co-function identity:
[tex]\sin(\theta)=\cos(90-\theta)[/tex]
Substitute A for θ:
[tex]\sin(A)=\cos(90-A)[/tex]
Since we know that sin(A) is 1/3, this means that cos(90-A) must also be 1/3.
So, our answer is B.
2)
Refer to the drawing.
Remember that 1-inch rise is a height of 1 while a 12 inch length is a length of 12.
So, to find the maximum ramp angle, we simply need to find the value of x.
We know the sides opposite and adjacent to x. So, we can use tangent:
[tex]\tan(x)=\text{opp}/\text{adj}[/tex]
Substitute 1 for the opposite side and 12 for the adjacent side:
[tex]\tan(x)=1/12[/tex]
Take the inverse tangent of both sides:
[tex]x=\tan^{-1}(1/12)[/tex]
Use a calculator. Make sure you're in Degrees mode:
[tex]x\approx4.76\textdegree\approx5\textdegree[/tex]
So, the maximum ramp angle should be about 5°
Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives.
Answer:
third choice the independent variable is the amount of water given, dependent is the height of the plant
The cost of 24 bottles of water is $6. Which expression shows how to find the cost of 10 bottles of water?
A. 24/6 x 10
B. 24/10 x 6
C. 6/10 x 24
D. 6/24 x 10
-5 1/2 + 6 3/4 + ( -4 1/4)
Answer:
8
Step-by-step explanation:
I used a calculator
What is the answer to 18-4K=-10-4k?
Answer:
no solution
Step-by-step explanation:
add 4k to both sides of the equation and you have ...
18 = -10 . . . . false
There is no value of k that will make this statement true. There is no solution.
In the following diagram, it is known that EHG is a right angle, m EHF x 1 and m GHF x 5 5.
Find the value of x, the numerical values of m EHF m GHF and , and mark them on the diagram
Answer:
Step-by-step explanation:
From the diagram, it can be seen that m EHF+ m GHF = mEHG
mEHG is a right angle, then mEHG = 90°
Given
m EHF = x
m GHF = 5x
Substituting the given parameters into the formula to get x;
x+5x= 90
6x = 90
Divide both sides by 6;
6x/6 = 90/6
x = 15
Hence the value of x is 15°
Since m EHF = x, therefore the numerical value of m EHF is 15°.
Also since m GHF = 5x, the numerical value of m GHF = 5(15) = 75°
Bert's birthday party will cost $246 if he invites 41 guests. How many guests can there be, at most, if Bert can afford to spend a total of $534 on his birthday party? Solve using unit rates. guests
What is the value of the 8 in the number 2008277
Answer:
thousands
Step-by-step explanation:
Answer:
The answer would be the Thousands place.
Step-by-step explanation:
The order goes like this.
ones
tens
hundreds
thousands
ten-thousands
one hundred-thousands
millions
Please add me as brainliest please :)
what is the distance between -4 and 8 on a number line
Answer:
12
Step-by-step explanation:
you can hop 12 times to the right
The distance between -4 and 8 on a number line is 12.
To find the distance between -4 and 8 on a number line, you can subtract the smaller number from the larger number. In this case:
Distance = |8 - (-4)|
To subtract a negative number, you can think of it as adding the absolute value of that negative number:
Distance = |8 + 4|
Now, perform the addition:
Distance = |12|
The absolute value of 12 is 12, so the distance between -4 and 8 on a number line is 12 units.
Hence, the distance between -4 and 8 on a number line is 12.
To learn more on Distance click:
https://brainly.com/question/15172156
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Find (9.3 × 10^6) + (1.8 × 10^4). Express your answer in scientific notation.
Simplify the expression. If not possible, write simplified.
3 - 2y +9
Answer:
-2y + 12
Step-by-step explanation:
3 - 2y +9
Combine the constants
-2y +3+9
-2y + 12
Answer:
-2y + 12
Step-by-step explanation:
1) Group like terms: -2y + 3 + 9
2) Combine like terms: 3 + 9 = 12
3) -2y + 12
Hope this helps and good luck with your assignment. (pleasem mark me brainliest if possible)
What's the answer to this question?
What is 3x10,000+4x1,000+6x100+8x10+8 written in standard form?
Hello!☺
[tex]Answer:\boxed{34,688}[/tex]
[tex]Explanation:[/tex]
[tex]3*10,000+4*1,000+6*100+8*10+8[/tex]
To solve, you will need to evaluate.
[tex]3*10,000+4*1,000+6*100+8*10+8=34,688[/tex]
[tex]34,668[/tex]
Hope this helps!☺
Answer:
34,688
Step-by-step explanation:
30,000 + 4,000 + 600 + 80 + 8 = 34,688
Hopefully this helps you :)
pls mark brainlest ;)
Three times the sum of eight and a number is 81. Find the number.
Answer:
19
Step-by-step explanation:
81/3=27
27-8=19
19
Which term completes the product so that it is the difference of squares?
(−5x−3)(−5x+________)
Answer:
3
Step-by-step explanation:
For Edge Users its
C
Answer: C. 3
Step-by-step explanation: Just confirming what the other person wrote :)
1/2x+ y=-7
-3x + 2y = -2
You could produce a pair of like terms with
opposite coefficients by multiplying the first equation by what number
Answer: 6
explanation: I just did it
Answer:
Step-by-step explanation:
Answer is 6
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
Answer:
50 cars
Step-by-step explanation: 3x10 is 30 and 5x10 is 5
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Last week, Jada ran 2 7/10 miles. This week, she plans to run 5 times as far as last week.
How many miles does Jada plan to run this week?
Write your answer as a fraction or as a whole or mixed number.
Answer:
13.5 miles or 27/5 miles
Step-by-step explanation:
2 7/10 is equal to 2.7 If she plans to run 5 times as much as last week, multiply 2.7 by 5.
2.7*5=13.5
