The approximately 99.7% of the bags will have lengths within 3 standard deviations.
We have given that the weights of 2-pound bags of best dog food are approximately normally distributed with a given mean and standard deviation.
What is the empirical rule for a normal distribution?The empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.
So the approximately 68% data falls within 1 standard deviation of the mean.
and the approximately 95% of data falls within 2 standard deviation of the mean.
Now the approximately 99.7% data falls within 3 standard deviation of the mean.
As the weights of 2-pound bags of best dog food are normally distributed,
Therefore, approximately 99.7% of the bags will have lengths within 3 standard deviations of the mean and option D is the correct choice.
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Answer:
option d
Step-by-step explanation:
fractorise 2x - 12 pls
Answer:
[tex]2x - 12 \\ \\ = 2(x - 6)[/tex]
# Bora 7#
Answer:
the answer is -24
Step-by-step explanation:
2x (-12) = 2 times -12, which is -24
Two containers are used to hold liquid. These containers have exactly the same shape. The first container has a height of 24 m, and it can hold 192 m’of liquid. If the second container has a height of 30 m, how much liquid can it hold?
Answer:
240m² of liquid
Step-by-step explanation:
[tex]\frac{192}{24}= 8[/tex]
30×8=240
Which 2 numbers that are between -8 and 5/4? -4.0, 1.3%, -0.1, -1/4, 3/2, 130% Help me!!
Answer:
This is a "strategic" guess
Step-by-step explanation:
I think it is -0.1
Find the value of f(3) for the function.
f(x)= -3 (x+3)
Answer:
the answer is -18
Step-by-step explanation:
- 3 (3 + 3 )- 3 × 6- 18Answer:
f(3)= -18
Step-by-step explanation:
f(x)= -3(x+3)
putting the value 3 in place of x
f(3)= -3(3+3)
or,f(3)= -3(6)
or,f(3)= -18
Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are
(4, –5), what are the coordinates of B'?
(2, 3)
(1, –9)
(–3, –4)
(6, –13)
Answer:
(6, -13)
Step-by-step explanation:
The rule is (x+2, y-8) so,
4+2=6
-5-8=-13
That would give you (6, -13)
Hope this helps
Can someone help me with this if you can? please and thank you! :)))
Answer:
The regular price is $38.69
Step-by-step explanation:
32.89 / 0.85 = 38.69411765
Solve for the value of z.
(2+4)° 101°
HELP PLEASE 15 POINTS ILL GIVE YOU COOKIE
Answer:
75?
Step-by-step explanation:
Isnt the total of the line suppose to equal 180*? if thats the case then the first angle 101* is 11 over the 90* mark meaning that you take 11 from the other side which would be 90-11 and that leave you with 79 but since the problem says +4 you would take 4 from 79 leaving you with 75. You would work backwards on the problem so the whole thing equals 180*
Find the value of the missing variable(s). All figures are kites. (please don't leave any links...)
Answer:
Step-by-step explanation:
The values of x and y are required.
and
From the given figure the sides and are equal.
Also, and are equal.
So,
Hence, and
person 1 can do a certain job in 15min, and person 2 can do the same job in 30 min. when completing the job together, which expression would be used to represent the amount of work done by person 1
A. 15
B. 1/15
C. x/15
Answer:
I believe the answer is B. 1/15
Step-by-step explanation:
Answer:
B. 1/15
Step-by-step explanation:
If x = 16,justify if this value is a solution to the equation:2x-(x+3)=13
Answer:
true, when you substitute 16 for x and solve it adds up correctly
Answer:
13 = 13
so True
Step-by-step explanation:
x = 16
2(16)-(16+3)=13
32-19=13
13=13
You answer 30 out of 40 questions correctly on a test. Did you reach your goal of 80%
Answer:
No
Step-by-step explanation:
If you divide the numerator by the denominator, 30/40 equals 0.75 in decimal form, so you did not reach your goal of 0.80.
Answer:
No, You didn't reach you goal of 80%, You only got 75% on the test.
Step-by-step explanation:
Given;
You answer 30 out of 40 questions correctly on a test.
To Find;
Did you reach your goal of 80%
Solve;
30 ÷ 40 × 100
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
[tex]30\div \:40=\frac{30}{40}[/tex]
[tex]\frac{30}{40}\cdot100[/tex]
[tex]=75[/tex]
Hence, No you didn't reach your goal of 80%
~Learn with Lenvy~
Does the graph represent a linear or nonlinear function? Explain
Answer:
non linear
Step-by-step explanation:
Because a linear function its a straight line who pass from the origin point because the values are proportional
It is about 30,000 light years from our solar system to the center of the milky way Galaxy. the solar system revolves around the center of the milky way with an angular velocity of about 2.6 * 10^-8 radians per year. what distance does the solar system travel in its orbit each year?
The solar system travels about [] light years each year.
Given that a light year is about 5.88 * 10^12 miles, how fast is the solar system circling the center of the Galaxy in miles per hour? Found your answer to the nearest ten thousand.
The solar system is circling the center of the galaxy at about [] mi/hr.
a. The solar system travels about 188495.56 light years each year.
b. the solar system is circling the center of the galaxy at about 520000 mi/hr
a. Distance solar system travels each year.
The solar system travels about 188495.56 light years each year.
Since the distance the solar system travel around the milky way is a circular orbit. The distance travelled is the circumference of a circle.
So, the circumference C = 2πr where
r = radius of circle = distance of solar system from center of milky wat = 30000 light yearsSo, C = 2πr
= 2π × 30000 light years
= 60000π light years
= 188495.56 light years
So, the solar system travels about 188495.56 light years each year.
b. Speed of solar systemThe solar system is circling the center of the galaxy at about 520000 mi/hr
The speed of the solar system circling the milky way is given by v = rω where
r = radius of orbit = 30000 light years = 30000 × 5.88 × 10¹² miles = 1.764 × 10¹⁷ miles and ω = angular velocity of solar system = 2.6 × 10⁻⁸ radians per year = 2.6 × 10⁻⁸ radians per year × 1year/365 days × 1 day/24 hours = 2.6 × 10⁻⁸ radians/8760 hour = 2.97 × 10⁻¹² radians per hourSo, substituting the values of the variables into the equation, we have
v = rω
v = 1.764 × 10¹⁷ miles × 2.97 × 10⁻¹² radians per hour
v = 5.23908 × 10⁵ miles/hour
v = 523908 miles/hour
v ≅ 520000 mi/hr to the nearest ten thousand
So, the solar system is circling the center of the galaxy at about 520000 mi/hr
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Find x if f(x) = 2x + 7 and f(x) = -1.
A. 5
B. -3
C. -4
Answer: C
Step-by-step explanation: When I graphed the equation and went to -1 y, the answer was -4.
Jim just found a job with a take-home pay of $1,950 per month. He must pay $1,200 for rent and $200 for groceries each month. He also spends $200 per month on transportation. If he budgets $50 each month for clothing, $100 for restaurants and $50 for everything else, how long will it take him to put together emergency savings of $1,500?
Add all his expenses together:
1200 + 200 + 200 + 50 + 100 + 50 = $1,800
Subtract his expenses from his pay:
1950 - 1800 = 150
Divide how much the emergency savings is by the amount left over per month:
1500/150 = 10
it will take 10 months
A student correctly answered 35 of the 40 questions on a mathematics exam. What percent did she answer correctly?
Answer:
87.5%
Step-by-step explanation:
To find a percentage of questions correct divide the number of correct answers by the total number of questions and then multiply that by 100.
(35/40)100=87.5
Anna had a solid wooden dowel with a length of 12 inches and a diameter of 1 inch, as shown below. She cut a two-inch portion out of the dowel as indicated. What was the volume, to the nearest tenth of a cubic inch, of the portion of the dowel that Anna cut out?
Answer:
Volume of the portion = 1.6 cubic inches
Step-by-step explanation:
Since, wooden dowel is in the shape of a cylinder,
Formula to be used to find the volume of the part Anna has cut from the dowel will be,
Volume = πr²h
Where r = radius of the cylinder or part of the wooden dowel
h = length of the portion
By substituting the values in the formula,
Volume = π(0.5)²(2)
= 0.5π
= 1.57 in³ ≈ 1.6 cubic inch
Therefore, volume of the portion will be 1.6 in³.
3) Daniel bought a magazine for $7 and four
erasers. He spent a total of $19. How
much did cach craser cost?
Answer:12 dollars and 9 cents
Step-by-step explanation:
Answer:
each eraser was $3
Step-by-step explanation:
You do 19-7 (because ur subtracting the magazine cost) then you have 12. You divide 4 by 12 which equals 3. Therefore, each eraser is $3. Hope this helped :)
Brainliest Given/Thanks/5 Star for the following;
→ No Copy
→ Explanation
a sample representative of the entire population is an
[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample
Answer:
unbiased sample
Step-by-step explanation:
The population is divided into similar, nonoverlapping groups. A simple random sample then selected from each group.
A biased sample is the opposite of unbiased sample.
Answer:
[B] unbiased
Step-by-step explanation:
Let's first define each answer choice;
Biased sample: sample not representative of the entire population.
Unbiased sample: sample where every member of the population has an equal chance of being selected.
Convenience sample: sample where representatives are easily accessible.
Free sample: Sample of small amount
Thus, base on the define of the answer choices we can know that
[B] unbiased sample is the correct answer.
~Learn with Lenvy~
3.) Forty percent of a number is equal
to one-half the number decreased by
15. Which one can be used to
determine the number?
A 40x = – 15
B 40x > 2x – 15
C 0.40x< - 15
D 0.4x =x/2-15
How much is 10% of 10 liters of milk
Answer:
1 liter of milk
Step-by-step explanation:
Answer:
1 liter of milk
Step-by-step explanation:
3. Priscilla is trying to decide which of two aquariums she should buy.
One aquarium is a rectangular prism with a base that is 20 inches by 19
inches and a height that is 22 inches. The other aquarium is in the shape
of a cube that has 20-inch edges. Find the difference in the volume of
the fish tanks?
one has more width the other shows the length
Help...../..........///////////.
Answer:
The answer is C. $2.20 per lb
it is C 2.20 per pound
Step-by-step explanation:
because 2.20 x 5 = 11 hope
hope this helps
help plss
Simplify.
14(1−23)2+13
Enter your answer, as a simplified fraction, in the box.
Answer:
-293
Step-by-step explanation:
14(1-23)2+13
PEMDAS
14(-22)2+13
-308 + 2 +13
-306
-293
hope this helps
What is the area of this figure?
o 573 units
o 638 units
O 683 units
Answer:
638 square units
Step-by-step explanation:
37 × (9 + 16) - 9 × 16 - 13 × (25 - 14) =
= 37 × 25 - 9 × 16 - 13 × 11
= 925 - 144 - 143
= 638
Answer: 638 square units
Answer:
638
Step-by-step explanation:
i took the k12 test
which is faster 220 newspaper in 55 mins or 135 newspapers in 45 mins. which one is the faster rate
Answer: 135 newspapers in 45 mins
Step-by-step explanation:
A tank contains 50 liters of oil at time t = 4 hours. Oil is being pumped into the tank at a rate R(t) where R(t) is measured in liters per hour, and t is measured in hours. Selected values of R(t) are given in the table above. Using a right Riemann sum with three subintervals and data from the table, what is the approximation of the number of liters of oil that are in the tank at time t = 15 hours?
The volume of oil inside the tank at [tex]t = 15\,h[/tex] is approximately 66.556 liters.
How to estimate volume capacity by Riemann sumIn this question we must estimate the volume by Riemann sum, which consist in sum of all areas of the trapezoids of equal width in the volume rate versus time graph. The right Riemann sum with three intervals for this case is described below:
[tex]Q = \Sigma \limits_{i=0}^{2} \left\{R_{i}+\frac{1}{2}\cdot [R_{i+1}-R_{i}] \right\}\cdot \Delta t[/tex]
[tex]Q = \left[6.5+\frac{1}{2}\cdot (6.2-6.5) \right]\cdot (3.667)+\left[6.2+\frac{1}{2}\cdot (5.9-6.2)\right]\cdot (3.667) +\left[5.9+\frac{1}{2}\cdot (5.6-5.9) \right]\cdot (3.667)[/tex]
[tex]Q \approx 66.556\,L[/tex]
The volume of oil inside the tank at [tex]t = 15\,h[/tex] is approximately 66.556 liters. [tex]\blacksquare[/tex]
Remark
The table of the volume rate versus time is missing, all missing values of the table are included below:
[tex]R(4) = 6.5\,\frac{L}{h}[/tex], [tex]R(7.667) = 6.2\,\frac{L}{h}[/tex], [tex]R(11.333) = 5.9\,\frac{L}{h}[/tex], [tex]R(15) = 5.6\,\frac{L}{h}[/tex]
To learn more on Riemann sum, we kindly invite to check this verified question: https://brainly.com/question/21847158
A 24-ounce box of cornflakes costs $4.59. What is the unit rate?
Answer:
0.19 cents/ounce
Step-by-step explanation:
4.59 dollars/24 ounces = 0.19125 cents/ounce
rounded, the unit rate would be about:
0.19 cents/ounce
simplify (5x-7) (2x+3) (7x-8)
Answer:
70x³ - 73x² - 155x + 168
Step-by-step explanation:
Given
(5x - 7)(2x + 3)(7x - 8) ← expand the first pair of factors using FOIL
= (10x² + x - 21)(7x - 8)
Each term in the second factor is multiplied by each term in the first factor, that is
10x² (7x - 8) + x(7x - 8) - 21(7x - 8) ← distribute the 3 parenthesis
= 70x³ - 80x² + 7x² - 8x - 147x + 168 ← collect like terms
= 70x³ - 73x² - 155x + 168
what 3.2 x 10^3
in standard form
Answer:
3,200
Step-by-step explanation:
10^3 is also represented as 1,000, so you just move the decimal over to the right 3 places.