63 i believe correct me if i’m wrong somebody. Im possibly WAY off
Answer:
- Q3. 12 units
- Q4. 6.33 units
- Q5. 66.19°
Step-by-step explanation:
Q3
DE and DF are legs and EF is hypotenuse
- DE = √EF² - DF²
- DE = √13² - 5² = √169 - 25 = √ 144 = 12
- DE = 12 units
Q4
PR is opposite side of angle Q and RQ is adjacent side
- tan 54 = PR/RQ
- tan 54 = PR / 4.6
- PR = 4.6tan 54
- PR = 6.33 units
Q5
As previous question, using tan as BC is opposite and AC is adjacent leg of angle A
- tan A = 6.8/3
- tan A = 2.266
- A = arctan (2.266)
- A = 66.19°
Answer:
W = 8.2 cm
Step-by-step explanation:
The perimeter formula is P = 2W + 2L and here the perimeter is 65.6 cm.
Thus, 65.6 cm = 2W + 2L. Substituting 3W for L, we get
65.6 cm = 2W + 2(3W) = 8W.
Solving for W by dividing both sides by 8, we get W = 65.6 cm / 8, or
W = 8.2 cm
Answer:
CI = 29.8 ± 3.53
Critical value is z = 2.58
Step-by-step explanation:
First of all let's find margin of error. It is given by the formula;
ME = zσ/√n
We are given;
Standard deviation; σ = 3.62
Sample size; n = 7
Mean; x¯ = 29.8
Now, z-value for 99% Confidence level is 2.58
Thus;
ME = (2.58 × 3.62)/√7
ME = 3.53
CI is written as;
CI = x¯ ± ME
CI = 29.8 ± 3.53
Critical value is z = 2.58
