Please and thank you! Photo attached!
1 answer:
Step-1 : Multiply the coefficient of the first term by the constant 12×( -35) = -420
Step-2 : Find two factors of -420 whose sum equals the coefficient of the middle term, which is -1 .
-420 + 1 = -419
-210 + 2 = -208
-140 + 3 = -137
-105 + 4 = -101
-84 + 5 = -79
-70 + 6 = -64
-60 + 7 = -53
-42 + 10 = -32
-35 + 12 = -23
. -30 + 14 = -16
-28 + 15 = -13
-21 + 20 = -1
That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -21 and 20
12x2 - 21x + 20x - 35
Step-4 : Add up the first 2 terms, pulling out like factors :
3x × (4x-7). Add up the last 2 terms, pulling out common factors :
5 × (4x-7)
Step-5 : Add up the four terms of step 4 :
(3x+5) × (4x-7).
Which is the desired factorization
Final result : (4x - 7) × (3x + 5)
SO YOUR ANSWER IS D.(4x - 7) • (3x + 5)
HOPE IT HELPED YOU.
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Answer:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
Step-by-step explanation:
On this case we need to apply a Chi squared goodness of fit test, and the correct system of hypothesis would be:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
And in order to test it we need to have observed and expected values. On this case we can calculate the Expected values like this
The observed values are not provided. The statistic on this case is given by:
And this statistic follows a chi square distribution with k-1 degrees of freedom on this case k=3, since we have 3 groups.
We can calculate the p valu like this:
And if the p value it's higher than the significance level we FAIL to reject the null hypothesis. In other case we reject the null hypothesis.
Answer:
The P-value is 0.009.
Step-by-step explanation:
We are given that after debating whether this set of hockey players can be viewed as a random sample of hockey players, they decide to run a hypothesis test anyway to practice finding the P‐value.
<em><u>We are given that the following hypothesis below;</u></em>
Null Hypothesis, : p = 0.25
Alternate Hypothesis, : p > 0.25
Now, the test statistics that was used here for the above hypothesis would be;
T.S. = ~ N(0,1)
Also, the test statistics given to us is 2.37.
<u></u>
<u>SO, the P-value of the test statistics is given by the following formula;</u>
P-value = P(Z > 2.37) = 1 - P(Z 2.37)
= 1 - 0.99111 = 0.00889 ≈ 0.009
<em>The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.99111.</em>
Therefore, the required P-value is 0.009.