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kobusy [5.1K]
3 years ago
15

You work in a hospital,and instructions for an instrument state that it should be cleaned in the sterilizer for two hours. The s

terilizer requires cleaning time be entered in minutes. How many minutes do you set for the sterilizer?
Mathematics
1 answer:
icang [17]3 years ago
6 0

Answer:

120

Step-by-step explanation:

Due to an hour equaling 60 minutes, two hours would equal 120.

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A ship travels 62.5 km in 1st hour of sailing. Starting from 2nd hour, the distance travelled per hour is x% of that in the prec
Bas_tet [7]
Speed of the ship in the second hour =  (62.5 * x ) / 100  kph.

In third hour it is  [(62 * x) / 100 ] * x/100]

is 4th hour its is the above * x/100 again  so we can now form the equation

62.5x      x          x
------- *   ----  *  ----    =  32
100      100      100

62,5 x^3 = 32,000,000
x^3 =  512,000
x = 80 <-----  Answer  to (a)

(b)  Ship travels 62.5 in first hour then  this falls by a common ratio of 0.8 each hour so we have a geometric sequence 

Dist travelled in 6 hours  =  a1  1 - r^n
                                                --------  = 62.5* (1 - 0.8^6) / 1 -0.8 = 230.56

                                               1 - r

Answer is    230.56 km 




5 0
3 years ago
The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

3 0
3 years ago
Rewrite the equation in vertex form. Name the vertex and y-intercept. y=3/5x^2+30x+382
Serga [27]
<span>(y-7) = 3/5 (x+25)^2 so the y intercept is -7 and the vertex is 35

</span>
7 0
3 years ago
Read 2 more answers
A) {y=2x
sladkih [1.3K]

We can see that

both lines intersects at origin

so, the solution is x=0 and y=0

now, we will check each options

option-A:

y=2x

y=-4x

now, we can set them equal

and then we can solve for x

-4x=2x

6x=0

x=0

now, we can find y

y=2*0

y=0

so, solution is x=0 and y=0

so, this correct...........Answer


5 0
3 years ago
Do these ratios form a proportion?
Novosadov [1.4K]

Answer:

No

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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