A submarine was situated 600 feet below sea level. An airplane directly above is at a height of 8,500 feet.

A number was written on the board. One student increased the number by 23, but another student decreased the number by 1. The fi

kodGreya [7K]

Answer:

5

Step-by-step explanation:

let the number written on the board be x.

1st student's number= x +23

2nd student's number= x -1

1st student's number= 7(that of the 2nd student),

x +23= 7(x -1)

x +23= 7x -7 (expand)

7x -x= 23 +7 (bring constant to 1 side)

6x= 30 (simplify)

x= 30 ÷6 (÷6 on both sides)

x= 5

Thus, the number written on the board is 5.

4 0

3 years ago

Calculate the pay for the following day of a weekly time card given a wage of $12.50/hr.

Elenna [48]

The one day pay is $106.25 rounded to the nearest hundredth.

Step-by-step explanation:

From the table shown :

The timing shown in the morning is from 8:00 to 12:15
The number of hours worked in the morning = 4 hours 15 minutes.

It is given that, the pay is $12.5 per hour.

Therefore, the pay earned in the morning = No.of hours × pay per hour.

⇒ 4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

The timing shown in the afternoon is from 8:00 to 12:15
The number of hours worked in the morning = 4 hours 15 minutes.

Therefore, the pay earned in the afternoon = No.of hours × pay per hour.

⇒ 4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

The pay for 1 day = pay earned in the morning section + pay earned in the afternoon section.

⇒ 53.125 + 53.125

⇒ 106.25

∴ The one day pay is $106.25 rounded to the nearest hundredth.

7 0

3 years ago

If you are going 35 miles per hour, how many miles would you have driven in 3 hours.

Sergeeva-Olga [200]

Answer: you would have driven 105 miles.

Step-by-step explanation: 35x3 = 105

6 0

3 years ago

point r is at (3, 1.3) and point t is at (3, 2.4) on a coordinate grid. the distance between the two points is

Irina18 [472]

Hello,

d=√((1.3-2.4)²+0²)=1.1

7 0

3 years ago

Consider the continuous random variable x, which has a uniform distribution over the interval from 110 to 150. The probability t

Virty [35]

Answer:

The probability that x will take on a value between 120 and 125 is 0.14145

Step-by-step explanation:

For uniform distribution between a & b

Mean, xbar = (a + b)/2

Standard deviation, σ = √((b-a)²/12)

For 110 and 150,

Mean, xbar = (150 + 110)/2 = 130

Standard deviation, σ = √((150-110)²/12 = 11.55

To find the probability that x will take on a value between 120 and 125

We need to standardize 120 & 125

z = (x - xbar)/σ = (120 - 130)/11.55 = - 0.87

z = (x - xbar)/σ = (125 - 130)/11.55 = - 0.43

P(120 < x < 125) = P(-0.87 < x < -0.43)

We'll use data from the normal probability table for these probabilities

P(120 < x < 125) = P(-0.87 < x < -0.43) = P(z ≤ -0.43) - P(z ≤ -0.86) = 0.33360 - 0.19215 = 0.14145

Hope this Helps!!!

3 0

3 years ago