Answer:
2x+10=-8
x=9
3x=9
x=3
2x=8
x=4
4x=20
x=5
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
1/8+ 3/8= 1/2
1/2 od 48 is 24.
Answer:
8 and 8; 64
Step-by-step explanation:
1. x + y = 16
2. y = 16 - x
3. Product = xy = x (16 - x) = - + 16x = f(x)
4. x-coordinate of the vertex =
5. y = 16 - 8 = 8
6. xy = 8(8)= 64
9514 1404 393
Answer:
(c) CPCTC
Step-by-step explanation:
The proof might go something like this:
- EH ≅ KH, FH ≅ JH . . . . . given
- ∠EHF ≅ ∠KHJ . . . . . vertical angles are congruent
- ∆EHF ≅ ∆KHJ . . . . . SAS congruence theorem
- EF ≅ KJ . . . . . CPCTC
Note that JK is an alternate name for segment KJ. We used KJ in the proof because vertices K and J correspond directly to vertices E and F in the congruent triangles.
Answer:
(c) H0 should be rejected
Step-by-step explanation:
Null hypothesis (H0): population mean is equal to 5
Alternate hypothesis (Ha): population mean is greater than 5
Z = (sample mean - population mean) ÷ (sd/√n)
sample mean = 5.3, population mean = 5, sd = 1, n = 500
Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67
Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326
Conclusion:
Since 6.67 is greater than 2.326, reject the null hypothesis (H0)