Answer:
Step-by-step explanation:
The confidence interval for population mean is given by :-
Given : Sample size : n= 51 ( >30 , that means its a large sample)
Sample mean :
Standard deviation :
Significance level :
Critical value :
Now, the 99% confidence interval for the mean grams of sugar will be :-
Hence, the 99% confidence interval for the mean grams of sugar =
Answer:
4. No
5. No
6. No
7. No
8. No
9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8
9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 135
Step-by-step explanation:
4. 12 : 25 and 6 : 13 are NOT equal. NO.
5. 64 : 120 = 8 : 15 and 60 : 100 = 3 : 5. NOT equal. NO
6. 37 : 115 and 296 : 966 = 148 : 483. NOT equal. NO
7. 300 : 200 = 3 : 2 and 6 : 5 are NOT equal. NO.
8. 8 : 10 = 4 : 5 and 11 : 14 are NOT equal. NO.
9a. 2 : 3 = 8 : 12 Extremes: 2, 12. Means: 3, 8
9b. 90 : 36 = 135 : 54 Extremes: 90, 54. Means: 36, 1135
8p² - 16p = 10
8p² - 16p - 10 = 0 Divide through by 2
4p² - 8p - 5 = 0
Multiply first and last coefficients: 4*-5 = -20
We look for two numbers that multiply to give -20, and add to give -8
Those two numbers are 2 and -10.
Check: 2*-10 = -20 2 + -10 = -8
We replace the middle term of -8p in the quadratic expression with 2p -10p
4p² - 8p - 5 = 0
4p² + 2p - 10p - 5 = 0
2p(2p + 1) - 5(2p + 1) = 0
(2p + 1)(2p - 5) = 0
2p + 1 = 0 or 2p + 5 = 0
2p = 0 -1 2p = 0 - 5
2p = -1 2p = -5
p = -1/2 p = -5/2
The solutions are p = -1/2 or -5/2
Answer:
42
Step-by-step explanation:
Answer:
n = -3
Step-by-step explanation:
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
I'm going to call the number "n."
n² - 24 = 5n subtract 5n from both sides to get the equation equal to zero
<u>- 5n -5n</u>
n² - 5n - 24 = 0 factor the trinomial into the multiplicatin of two binomials
we need factors (numbers that multiply) to -24 that add up to
-5. The only factors for -24 that will add up to -5 are -8 and 3.
(n-8)(n+3) = 0 set each binomial equal to zero and solve for n
n-8 = 0 or n+3 = 0
<u>+8 +8</u> <u> -3 -3</u>
n = 8 or n = -3 n = -3 is the negative solution