120 degrees or 0.67 radians
Answer:
question 6:
+ 9x + 14 and (x + 2) (x + 7)
question 7:
- 7x + 10 and (x - 2)(x - 5)
question 8:
- 9x + 20 and (x - 4)(x - 5)
question 9:
(x + 1) (x - 17)
- 17x + 1x - 17
- 16x - 17
question 10:
(x - 1) (x + 17)
+ 17x - 1x - 17
+ 16x - 17
Answer:
.15 of course hhsjdjdjwasting space here dont mind me
Answer:
78 ft³
Step-by-step explanation:
<u />
Volume of a rectangular prism = length × width × height
<u />
<u>Toy Box</u>
- length = 5 ft
- width = 3 ft
- height = 2ft
⇒ volume = 5 × 3 × 2 = 30 ft³
<u>Book Box</u>
- length = 6 ft
- width = 4 ft
- height = 2 ft
⇒ volume = 6 × 4 × 2 = 48 ft³
Total combined volume = 30 + 48 = 78 ft³
Answer:
Two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.
Step-by-step explanation:
We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviation of 0.07 millimeters.
<em>Let X = diameters of bolts produced in a machine shop</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= population mean
= standard deviation
<u>Now, we have to find the two diameters that separate the top 4% and the bottom 4%.</u>
- Firstly, Probability that the diameter separate the top 4% is given by;
P(X > x) = 0.04
P(
>
) = 0.04
P(Z >
) = 0.04
<em>So, the critical value of x in z table which separate the top 4% is given as 1.7507, which means;</em>
= 1.7507
= 5.65 + 0.122549 = 5.77
- Secondly, Probability that the diameter separate the bottom 4% is given by;
P(X < x) = 0.04
P(
<
) = 0.04
P(Z <
) = 0.04
<em>So, the critical value of x in z table which separate the bottom 4% is given as -1.7507, which means;</em>
= -1.7507
= 5.65 - 0.122549 = 5.53
Therefore, the two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.