Answer:
18
Step-by-step explanation:
AB = AW + WB
But AW also equals WB because of the bisecting point
x + 6 = 3x
6 = 2x
x = 3
AW = 3 + 6 = 9
WB = 3(3) = 9
9 + 9 = 18°
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Answer:
91
Step-by-step explanation:
p^6×q^12 will have (6+1)(12+1) = 7×13 = 91 positive integer divisors.
Answer:
B
Step-by-step explanation:
Plug in a x-value and see which table matches the result. Plug in 1.
f(x) = 7 - 4.5x
f(1) = 7 - 4.5(1)
f(1) = 7 - 4.5
f(1) = 2.5
The table that matches an input of 1 with an output of 2.5 is B.
Diffusion- The process by which molecules spread themselves out evenly in a given area. This happens by natural molecular movement.How do particles move across membranes?- by osmosis, active transport, simple diffusion and facilitated diffusionSimple/Passive Diffusion<span>- No energy
- Happens across cell membrane
- From high to low concentration ("down the concentration gradient")</span>Controlled/Facilitated Diffusion- diffusion across a membrane through specific protein channels in the membrane, with no energy costOsmosis- Simple diffusion of waterActive Transport<span>- Requires energy
- Happens only at specific channels
- From low to high concentration ("against the concentration gradient")</span>Concentration Gradient- difference in concentration of a substance between one area and anotherGradient- Different or unevenSemi-Permeability<span>- a type of biological membrane that will allow certain molecules or ions to pass through it by diffusion
(- maintain a balance of water in the cell
- ability to differentiate materials that are needed and those that are not needed in the cell, keeping the cell healthy
- ability to control the amount and kind of substances through the cell membranes )</span>What must we understand? (homeostasis- cells)- Cells constantly change concentrations to their benefit and to maintain stable internal conditions.Endocytosis- the movement of bulk liquids or solids into a cell, by the indentation of the plasma membrane to form vesicles containing the substance; active process requiring ATPEndo--means 'inside'Exocytosis- the movement of bulk liquids or solids out of a cell by fusion of vesicles containing the substance with the plasma membrane; active process requiring ATPExo--means 'outside'How many types of Endocytosis are there?- 3 types of endocytosis-- phagocytosis, pinocytosis and receptor mediated endocytosisPhagocytosis- In endocytosis, if the substances being taken in are particles, such as bacteria, then process is called phagocytosisPinocytosis- In endocytosis, if the substances are in solution, such as the end products of digestion, then the process is called pinocytosisReceptor-Mediated Endocytosis- is an endocytotic mechanism in which specific molecules are ingested into the cell.Water Potential- the tendency of water molecules to move from an area of higher concentration to an area of lower concentrationPlasmolysis- Shrinkage of protoplasm away from the cell wall of a plant or bacterium due to water loss from osmosis, therefore resulting in gaps between the cell wall and cell membrane.Protoplasm- the fluid living content of the cell-- composed mainly of nucleic acids, proteins, lipids, carbohydratesTypes of Solutions<span>- hypotonic
- isotonic
- hypertonic</span>Hypotonic<span>- concentration of dissolved substances is greater INSIDE the cell
- through osmosis, H2O diffuses INTO the cell
- hippos get fat, so will the cell
[a less concentrated solution (one with a more negative water potential) than the cell solution]</span>Isotonic<span>- concentration of dissolved substances is EQUAL INSIDE and OUTSIDE the cell
- H2O diffuses INTO the cell and OUT of the cell at the same rate</span>Hypertonic<span>- concentration of dissolved substances is greater OUTSIDE the cell
- through osmosis, H2O diffuses OUT of the cell
- this cell will shrink
[a more concentrated solution (one with a less negative water potential) than the cell solution]</span>Gene- a length of DNA at a specific location on a chromosome that controls a specific heritable characterisicStandard Deviation (SD)<span>- measures the spread of the data in a set by describing how far the numbers are from the mean
(- a valuable method of analysis
- it takes into account all values & it's not affected by extreme values
- gives you a hint on how accurate the data is- if the method is good- if you can draw a valid conclusion)</span>Equation for Standard Deviationn= # of data pointsHow do you find the mean?- in a data set, add all the values together then divide by the total number of values in the setHigh SD- the data is widely spread (less reliable)Low SD- the data is clustered closely around the mean (more reliable)Cell Membrane- controls what comes in and out of the cellCell Wall- composed of cellulose and other carbohydrates, giving plant cells further support and a more rigid structure than animal cellsNucleus<span>- the brain and control center of the cell:
contains DNA
controls all cellular functions in the cell</span>Nucleolus- small body found in the nucleus of eukaryotic cells where ribosomal RNA is synthesisedCytoskeleton<span>- in the structural support; </span>
Answer:
C) a sample distribution of a sample mean with n = 10

and 
Step-by-step explanation:
Here, the random experiment is rolling 10, 6 faced (with faces numbered from 1 to 6) fair dice and recording the average of the numbers which comes up and the experiment is repeated 20 times.So, here sample size, n = 20 .
Let,
= The number which comes up on the ith die on the jth trial.
∀ i = 1(1)10 and j = 1(1)20
Then,
= 
= 3.5 ∀ i = 1(1)10 and j = 1(1)20
and,
= 
= 
= 
15.166667
so,
= 

= 2.91667
and
= ![\sqrt {2.91667}[/tex [tex]\simeq 1.7078261036](https://tex.z-dn.net/?f=%5Csqrt%20%7B2.91667%7D%5B%2Ftex%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%5Btex%5D%5Csimeq%201.7078261036)
Now we get that,

We get that
are iid RV's ∀ j = 1(1)20
Let, 
So, we get that 
=
for any i = 1(1)10
= 3.5
and,
![\sigma_{({\overline}{Y})} = \frac {\sigma_{Y_{j}}}{\sqrt {20}} = \frac {\sigma_{X_{ij}}}{\sqrt {20}} = \frac {1.7078261036}{\sqrt {20}} [tex]\simeq 0.38](https://tex.z-dn.net/?f=%5Csigma_%7B%28%7B%5Coverline%7D%7BY%7D%29%7D%20%3D%20%5Cfrac%20%7B%5Csigma_%7BY_%7Bj%7D%7D%7D%7B%5Csqrt%20%7B20%7D%7D%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%3D%20%5Cfrac%20%7B%5Csigma_%7BX_%7Bij%7D%7D%7D%7B%5Csqrt%20%7B20%7D%7D%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%3D%20%5Cfrac%20%7B1.7078261036%7D%7B%5Csqrt%20%7B20%7D%7D%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%5Btex%5D%5Csimeq%200.38)
Hence, the option which best describes the distribution being simulated is given by,
C) a sample distribution of a sample mean with n = 10

and 