Answer:
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
Step-by-step explanation:
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.
Mean of 650 pounds and a standard deviation of 20 pounds.
This means that [tex]\mu = 650, \sigma = 20[/tex]
What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?
Less than 620:
pvalue of Z when X = 620. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{620 - 650}{20}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
More than 700:
1 subtracted by the pvalue of Z when X = 700. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{700 - 650}{20}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
Total:
0.0668 + 0.0062 = 0.073
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
Help Please! I ain’t understanding this :’
Answer:
The first one because the width and the length make the box of ice cream look bigger.
Step-by-step explanation:
A rectangle has length of (5x+2) and a width of (3x-1) with an area of 308 units squared. Find the perimeter
Answer:
haach f,f msfmavfb
Step-by-step explanation:
which expression is equivalent to 3(9p+2r)
Answer:
27p+6r
Step-by-step explanation:
3(9p+2r)
1 Solve the product 3(9p+3 2r)
3⋅9p+3x2r
Multiply 3 times 9
27p+3x2r
Final Answer
27p+6r
A desk drawer is shaped like a rectangular prism. The height of the drawer is 7 inches. The bottom of the drawer has an area of 210 square inches.
What is the volume of the desk drawer?
pls help Ill give you brainiest and pic for your profile
Answer:
1470
Step-by-step explanation:
CAN SOMEBODY PLEASE HELP ME!!
Answer:
2,2 2,7 5,7
Step-by-step explanation:
Anthony bought a new rectangular table for his living room. The length of the table is 4 feet and the perimeter of the table is 14 feet. What is the width of the table?
Answer:
3 feet
Step-by-step explanation:
If the length is 4 feet, there are two lengths so you get 8
14-8= 6
Because there are two widths, you do 6 divided 2 and you get 3 feet
How many degrees does it take a capterpillar to turn upright
it is at least 180 degrees
please help it due rn
Answer:
I think that the answer would be C .
hope it was helpful :)
x-3=14 use the opposite operation found in the equation.
Step-by-step explanation:
x-3=14
x=14+3
x=17
verification
x(17)-3=14
17-3=14
14=14
LOOK AT THE PICTURE!!
Answer:
56
Step-by-step explanation:
what is the distance between ( -5, 3 ) and ( 3, 3 ) ?
Answer:
distance between these point is 8
Step-by-step explanation:
d=
[tex] \sqrt{( 3- - 5) ^{2} + (3 - 3)^{2}} [/tex]
Answer:
8 is the distance between them
FYI distance formula is the square root of (x2 -x1)^2 = (y2- y1)^2
Step-by-step explanation:
Help plzzzzzzxhshshxyxush
Answer:
a.
Step-by-step explanation:
because "six hundered one" is 601 and "five hundredths" is .05 so the only number with both those 2 is a so the awnser is a.
Helppppppppppppppppp
are Equilateral triangles always acute triangles.
Answer:
Yes, they can only have acute angles (all measure 60°)
Step-by-step explanation:
Select all the statements that are true
Answer:
Options 2, 4 and 6 are True.
Step-by-step explanation:
Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).
Rule to be followed to dilate the vertices of the given triangle,
(x, y) → (kx, ky)
Here, k = scale factor
By this rule vertices of the new triangle M'N'O' will be,
M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]
N(-4, -4) → N'(-6, -6)
O(6, -2) → O'(9, -3)
Option 1
M'N' is shorter than MN
Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]
= 10.77
Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]
= 13.42
Therefore M'N' > MN
Therefore, Option A is False.
Option 2
ON is shorter than O'N'
True.
Option 3
OM is longer than O'M'
False
Option 4
ON is parallel to O'N'
Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.
True.
Option 5
OM is parallel than O'M'
Since, O'M' is the dilated form of OM,
Therefore, all the points (O, M and M') will be in a straight line.
False
Option 6
M'N' coincide with MN
True.
Therefore, Options 2, 4 and 6 are True.
Help me with this please
Answer:
x = 37.5
Step-by-step explanation:
The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees. That gives us the number 105°
Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).
That gives us:
(180 / 105) / 2
= 75 / 2
= 37.5
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
D, 261
Step-by-step explanation:
Divide all of the answer choices by 9. The answer is the one with the whole number. 261/9=29 29=whole number so D is the answer.
Hope this helps! If it did, please give brainliest! It would help a lot! :D
Answer:
261
Step-by-step explanation:
If the farmer used 9 boxes and each had the same number, we need to find the number that's divisible by 9.
There's a great fact - a number is divisible by 9 if its sum of digits is divisible by 9.
Let's use that fact on the answers first:
281 -> 2 + 8 + 1 -> 11 -> 1 + 1 -> 2; not divisible by 9
273 -> 2 + 7 + 3 -> 12 -> 1 + 2 -> 3; not divisible by 9
261 -> 2 + 6 + 1 -> 9; divisible by 9
Please note that we could just say that 11 is not divisible by 9, but I wanted to show that we can do it again - nothing stops us and it still works.
To know why this method works, note that a number ABC is equal to:
100 * A + 10 * B + C = 99 * A + 9 * B + (A + B + C) = 9*(11*A + B) + (A + B + C)
And we know that 9*(11*A + B) is divisible by 9 because it's literally 9 times something. So A+B+C is equal to ABC minus something divisible by 9, and that proves what we needed.
please i will give you brainly -1,8÷9 I need step by step
Answer:
-0.2
I couldn't get step by step but hope this answer helps out a little...
(Do you need it for ur assignment?)
Step-by-step explanation:
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative
I wasn't sure if the comma was a typo in your question but I Hope this helps :)
which one is it .....
Answer:
D) n/3 - 7
Step-by-step explanation:
Answer:
D) n/3 - 7
Step-by-step explanation:
n/3 - 7
7 is subtracted (so it's behind) and the quotient (fraction) of n and 3
Please Im stuck. One box contains 24 bottles of soda. Each bottle contains 0.5 dl. Alex celebrates his birthday and 1/3 of the bottles are drunk. A) How many bottles are drunk? B) How many liters of soda are drunk in total on the birthday?
Answer:
(a) 8 bottles(b) 0,4 LitresStep-by-step explanation:
There are
24 bottles/box0,5 decilitres/bottle = 50mL/bottle = 50 × 24 bottles = 1200mL = 1.2 Litres1/3 of the bottles are drunk = 1/3 × 24 = 8 bottles are drunk (a)8 bottles × 50 mL = 400 mL = 0,4 Litre____________________
#IndonesianPride - kexcvi
find the circumference of the circle. PLEASE HELP I HAVE 5 MINUTES LEFT :(
Answer:
18.84
Step-by-step explanation:
WILL GIVE BRAINLIEST TO ANSWER
its x4 got it thanks give me brainliest
5^-2 + 7^0
PLSSS HELP MEEE IM IN SCHOOL RIGHT NOW
TRY THIS
Step-by-step explanation:
Step-by-step explanation:
Given
[tex] {5}^{ - 2} + {7}^{0} \\ = \frac{1}{ {5}^{2} } + 1 \\ = \frac{1}{25} + 1 \\ = \frac{1 + 25}{25} \\ = \frac{26}{25} [/tex]
Hope it will help :)❤
Estimate 4/5x6/7
I WIL MARK BRAINLIEST IF ITS THE BEST ANSWER
Answer:
Simplify x6/7
4/5 x x6/7
Simplify 4/5
4/5 x x6/7
Finally the answer
4x6/35
One card is randomly selected from a deck of cards. Find the odds:
in favor of getting a spade.
Answer:
1/4 chance or 0.25 or 25%
Step-by-step explanation:
One forth of cards in a deck are spades
Answer:
1/4
Step-by-step explanation:
In a deck of cards, there are 52 cards (not including jokers)
and there are 13 cards that are spades, so it's simply just 13/52 which simplifies to 1/4
Please help if not I with find you
Answer:
7,7,15
Step-by-step explanation:
Because the summation of two sides should be greater than the other one
WILL GIVE BRAINLIEST
Answer:
B. 12
Step-by-step explanation:
First, we need the degrees for A. So, cosx = 5/13 = 67.4
Now it will be easy to solve a. tan67.4° = a/5 = 12.011728511....
we round it to the nearest tenth and we get 12.
Step-by-step explanation:
By pythagoras theoram
[tex]c = \sqrt{a2 + b2} [/tex]
13=a²+5²a²=13²--5²a²=169--25a²=144I think this is a helpful for youIs 3times4 the same as 4 times 3
Answer:
Yes, 3x4=12 and 4x3=12
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
3 × 4 = 12
4 × 3 = 12
The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)
Answer:
A) The test statistic is approximately 7.5056
B) E. There is no evidence that diet is independent of backfat thickness
Step-by-step explanation:
The given data are;
The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm
The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm
The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18
The sample mean for pigs raised on Diet 2, [tex]\overline x_2[/tex] = 3.37 m
The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm
The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18
The pooled SE = 0.09
A) The test statistic is given by the following formula;
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we have;
[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]
The test statistic, t ≈ 7.5056
B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17
At a confidence level of 95%, the critical value is 2.11
Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet
Therefore, there is no evidence that diet is independent of backfat thickness
Someone please explain how you got the answer please and thank you
Answer:
3 texts by madelyn, there were 2 texts from aubrey
Step-by-step explanation:
the ratio of maddie to aubrey was 18:12 which is 3:2
so 3 by maddie = 2 by aubrey
i used maddie because its shorter
Answer:
6 + 6 is 12 and 12 + 6 is 18 so i think its for every 6 text sent and then 6 again (6 in both boxes)
Step-by-step explanation:
adore your sasha pfp