Answer:
Option (1)
Step-by-step explanation:
Given inequality is.
4x + 5 ≥ 13
We will further solve this inequality,
(4x + 5) - 5 ≥ 13 - 5
4x ≥ 8
x ≥ 2
Therefore, on a number line solution of x will be all values of x greater than equal to 2.
Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.
Option (1) will be the answer.
<u>Question Completion</u>
(a)What is your null hypothesis?
(b)What is your expected phenotypic ratio based on Mendelian inheritance?
(c)Calculate the expected number of flowers you should have gotten based on the Mendelian inheritance. Then calculate a chi-square value, degrees of freedom, and a p-value.
(d)Interpret your results. Do you reject it or fail to reject your null hypothesis (please restate the null)?
Answer:
(a)
(b)9:3:3:1
(c)
(d)We fail to reject the null hypothesis.
Step-by-step explanation:
In the flowering plant, white flowers (B) are dominant over red flowers (b), and short plants (E) are dominant over tall flowers (e). An F2 generation was created by crossing two F1 individuals (each BbEe).
(a)The null hypothesis is:
(b)The gametes are BE, Be, bE and be.
The offsprings are presented in the table below:
The expected phenotypic ratio based on Mendelian inheritance
BE:Be:bE:be=9:3:3:1
(c)
Therefore:
(d) Our null hypothesis is:
Since p>0.05, the given data fit the predicted phenotypic ratio.
We, therefore, fail to reject the null hypothesis.
The difference in the observed and expected are sosmall that they can be attributed to random chance.
The Pythagorean's Theorem for our situation would look like this:
So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:
And of course we have to expand. Doing that will leave us with
Combining like terms we have
Our job now is to get everything on one side of the equals sign and solve for s
That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!