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4vir4ik [10]
1 year ago
9

Supervisor: "Congratulations. You received a score of 3.4 on your annual review. Merit increases are given out starting at .5% a

t a score of 2.6 and it goes up 1% every .4 points." Employee: "So I will be receiving an increase of __________."
Mathematics
2 answers:
Brut [27]1 year ago
8 0
The employee will need to figure out how many groups of 0.4 points they have beyond a score of 2.6. To do this subtract 3.4 and 2.6.

3.4 - 2.6 = 0.8
This is two groups of 0.4.

So, 0.5% + 1% + 1%= 2.5 % pay increase.
Zigmanuir [339]1 year ago
8 0

Answer:

2.5%

Step-by-step explanation:

We start at 2.6.  This is an increase of 0.5%.

The increase goes up 1% every 0.4 points.  This means the next increase is at 2.6+0.4 = 3.0; this is an increase of 0.5+1 = 1.5%.

The next increase is at 3.0+0.4 = 3.4; this is an increase of 1.5+1 = 2.5%.

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Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a hi
pashok25 [27]

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

Along the highway,

Distance covered H = 390 - L

Let the time = t

Speed = distance/time

60 = (390 - L)/t

t = ( 390 - L)/60

But total time = T + t

That is

8 = L/20 + (390 - L)/60

The LCM at right hand side will be 60

8 = ( 3L + 390 - L )/60

Cross multiply

480 = 2L + 390

Collect the like terms

2L = 480 - 390

2L = 90

L = 90/2

L = 45 miles.

Therefore, the distance Minato drive along local roads is 45 miles

4 0
2 years ago
Solve the equation. Negative StartFraction 9 Over 15 EndFraction y + StartFraction 3 Over 21 EndFraction = StartFraction 5 Over
mina [271]

Answer:

Step-by-step explanation:

9/15y + 3/21 = 5/15 y - 14/21. Adding 14/21 to both sides we then get 9/15y + 17/21 = 5/15y. Subtracting 5/15y from both sides, we get 4/15y + 17/21 = 0.

Then we get 4/15y = -17/21. Dividing by 4/15 gets us -17/21 * 4/15 = -68/315 = y.

4 0
2 years ago
Read 2 more answers
What is 0.514 written as a power of 10? 514 x 102 514 x 103 514 x 10-3
vovikov84 [41]
0\underbrace{.514}_{3\to}=514\cdot10^{-3}
8 0
2 years ago
Read 2 more answers
One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the tea
andrew11 [14]

Answer:

a) 1.92

b) 3.25

c) 1.5

d) -5.23

Step-by-step explanation:

We are given the following in the question:

4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3

a) mean of score change

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{23}{12} = 1.92

b) standard deviation for this population

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences = 126.92

\sigma = \sqrt{\frac{126.92}{12}} = 3.25

c) median change score

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7

Median =

\dfrac{6^{th} + 7^{th}}{2} = \dfrac{1+2}{2} = 1.5

d) change score that is 2.2 standard deviations below the mean.

x = \mu - 2.2(\sigma)\\x = 1.92-2.2(3.25)\\x = -5.23

4 0
1 year ago
During an experiment, Juan rolled a six-sided number cube 18 times. The number two occurred four times. Juan claimed the experim
natita [175]

Answer:

\frac{2}{9}

Step-by-step explanation:

Given :

Juan rolled a six-sided number cube 18 times.

The number two occurred four times.

To Find: Juan claimed the experimental probability of rolling a two was approximately 1/9. Why is Juan’s experimental probability incorrect?

Solution:

Total events = number of times cube rolled = 18

Favorable events = The number two occurred four times.  = 4

So, Experimental probability = \frac{\text{Favorable events}}{\text{Total events}}

                                               = \frac{4}{18}

                                               = \frac{2}{9}

Thus the experimental probability of rolling a two was  \frac{2}{9}

So, Juan’s experimental probability was incorrect.

3 0
2 years ago
Read 2 more answers
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