Kilo meters using decimal<br> a) 3550m<br> b) 10km 75m <br> c) 33km 6m

Find the nth term of 8,17,26,35,....

shepuryov [24]

Answer:

8 + (n-1)*9

Step-by-step explanation:

In the series, we can see that the difference between 2 consecutive terms is always 9, and the sequence starts at 8.

That means the nth term of the series must be 8 + (n-1)*9

5 0

3 years ago

n Chatty Cathy’s cell phone plan she pays for minutes used plus a fixed monthly charge. For 500 minutes she pays $35 total, and

Vladimir [108]

Answer

Find out the what is her monthly fixed charge .

To prove

Let us assume that the cost per mintues = x

Let us assume that the monthly charge be = y

As given

n Chatty Cathy’s cell phone plan she pays for minutes used plus a fixed monthly charge.

For 500 minutes she pays $35 total

Than the equation becomes

500x + y = 35

As given

for 1500 minutes used she pays $55 total.

Than the equation becomes

1500x + y = 55

Subtracted 500x + y = 35 from 1500x + y = 55

1500x - 500x + y - y = 55 - 35

1000x = 20

$x = \frac{20}{1000}$

x = $0.02

Put in the 500x + y = 35

500 × 0.02 + y = 35

10 + y = 35

y = 35 - 10

y = $25

Therefore the monthly fixed charge be $25.

3 0

3 years ago

A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A

PilotLPTM [1.2K]

Answer:

252 ; 0.0059 ; 0.0074 ; 0.9926

Step-by-step explanation:

Day shift = 10

Swing shift = 8

Graveyard shift = 6

Total number of workers = 24

A.) Number of selections resulting in 5 workers coming from day shift :

10C5 = 10! ÷ (10-5)!5!

= (10*9*8*7*6) / (5*4*3*2*1)

= 252

B.) All 5 workers coming from day shift :

Required outcome = 10C5

Total possible outcomes = 24C5

10C5 ÷ 24C5

252 ÷ 42504

= 0.0059288

= 0.0059

C.) 5 selected workers are from the same shift :

[day shift + swing shift + graveyard shift] / total possible outcomes

[(10C5) + (8C5) + (6C5)] ÷ 24C5

(252 + 56 + 6) / 42504

= 0.0074

D.) What is the probability that at least two different shifts will be represented among the selected workers?

1 - [[(10C5) + (8C5) + (6C5)] ÷ 24C5]

1 - 0.0073875

= 0.9926124

= 0.9926

6 0

3 years ago

Help please with steps

SOVA2 [1]

From the image, we can see the amount of water in Liters are in the beaker.

The beaker is marked with numbers that are skip counting by 10. (10,20,30) so on. There are 4 ticks below the 10, 5 if you count the 10.

So that means 10/5 = 2 L per tick.

The water goes above the 30 mark and under the 40 mark, which means it's somewhere in the 30's.

Since each tick is 2 L, and the water goes to the third tick:

2L + 2L + 2L = 6L.

Add 6L to 30: 30+ 6L = 36L

6 0

4 years ago

Read 2 more answers

What’s the answer??(SOMEONE PLEASE HELP ME)

aleksandr82 [10.1K]

We know that According to Algebra of Real Functions :

If f and g are two real functions which are defined under the same domain then $(\frac{f}{g})(x) = \frac{f(x)}{g(x)}$

$\implies Given\;Function\;is\;\frac{-1}{x\sqrt{3x - 9}}$

Now we need find the Domain of this Function :

The Condition for Square Root to be defined is any Expression under it should be Greater than or Equal to Zero.

When Function is a Fraction, it Cannot be defined when the denominator becomes zero. Because when the denominator is zero, the fraction tends to ∞ (because anything divided by zero tends to ∞)

According to Above Conditions Described above, The Given Function is Definable only when the Expression which is under the Square Root is Greater than Zero and x ≠ 0

⇒ 3x - 9 > 0

⇒ 3x > 9

⇒ x > 3

⇒ The Domain of the Given Function is (3 , ∞)

1st Option is the Answer

6 0

3 years ago

Kilo meters using decimal a) 3550m b) 10km 75m c) 33km 6m