The solution set for x^2 -x -56=0 is A.{7,8} b. {-7} c. {8} d. {-7,8} e. {7.-8}

A tourist in London looks up at the clock in Big Ben tower and finds that it is exactly 8:00. When she looks up at the clock lat

Andrew [12]

To answer that question we need to use THE RULE OF THREE, this rule will help us solving linear relation problems.

Solution is:

The hour hand will turn (1/36)×π

The Table

Step minute hand hour hand

0-5 (1/6)×π (1/72)×π

10 (2/6)×π (1/36)×π

15 (3/6)×π = π/2 (1/24)×π

20 (4/6)×π = (2/3)×π (1/18)×π

25 (5/6)×π (5/72)×π

30 (6/6)×π = π (1/12)×π

35 (7/6)×π (7/72)×π

40 (8/6)×π (8/72)×π

45 (9/6)×π = (3/2)×π (3/24)×π

50 ( 10/6)×π ( 10/72)×π

55 (11/6)×π (11/72)×π

60 (12/6)×π = 2×π (12/72)×π = π/6

We know that each complete minute hand turn, is a 2×π angle turn, then a 5 minutes turn is (1/12) × 2×π = (π/6)
We will use that relationship to build the table and answer the question

If 2×π angle for a minute hand turn is equal to 1 hour, then

(2/6) angle for a minute hand turn is equal to "x" turn in the hour hand

So by Rule of Three, we proceed

2×π ( Of minute hand) ⇒ (1/6)×π (of hour hand)

(2/6)× π ( Of minute hand) ⇒ x

Solving for x

2×π × x = (2/6)× π × (1/6)×π

2× x = (2/36)×π

x = (1/36)×π

Now to build the table in 5 minutes steps:

Related Link: brainly.com/question/19586594

7 0

2 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviat

nexus9112 [7]

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.

Let X = diameters of bolts produced in a machine shop

So, X ~ N( $\mu=5.65,\sigma^{2} = 0.07^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean

$\sigma$ = standard deviation

Now, we have to find the two diameters that separate the top 4% and the bottom 4%.

Firstly, Probability that the diameter separate the top 4% is given by;

P(X > x) = 0.04

P( $\frac{X-\mu}{\sigma}$ > $\frac{x-5.65}{0.07}$ ) = 0.04

P(Z > $\frac{x-5.65}{0.07}$ ) = 0.04

So, the critical value of x in z table which separate the top 4% is given as 1.7507, which means;

$\frac{x-5.65}{0.07}$ = 1.7507

$x-5.65 = 0.07 \times 1.7507$

$x$ = 5.65 + 0.122549 = 5.77

Secondly, Probability that the diameter separate the bottom 4% is given by;

P(X < x) = 0.04

P( $\frac{X-\mu}{\sigma}$ < $\frac{x-5.65}{0.07}$ ) = 0.04

P(Z < $\frac{x-5.65}{0.07}$ ) = 0.04

So, the critical value of x in z table which separate the bottom 4% is given as -1.7507, which means;

$\frac{x-5.65}{0.07}$ = -1.7507

$x-5.65 = 0.07 \times (-1.7507)$

$x$ = 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.

4 0

3 years ago

Is 2×2×5×5×7×7 a square number ? explain your answer.

givi [52]

Yes because you end up with 4,900 which is 70x70

8 0

3 years ago

(2/3)to the power of 4=16/81 how to get this answer?

Oksi-84 [34.3K]

So 2/3^4 is just 2/3 multiplied by its self four times. When multiplying fractions you multiple straight across the numerator and denominator so 2x2x2x2=16 and 3x3x3x3=81 and you get 16/81

5 0

3 years ago

Question 1 of 10 If f(x) = 4x - 12, what is f(2)? A. -20 B. 8 C. 4 D. -4

Rom4ik [11]

The answer is twelve u can sub in 2 for x

6 0

3 years ago