MATHEMATICS COLLEGE

1. number 5 added to three times the product of M and N.2. product of number Y and Z subtracted from 10.
3. sum of number X and Y subtracted from their products.
4. workings pls​

Answers

Answer 1
Answer:

Answer:

a) 5 - mn

Step-by-step explanation: its correct

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A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides.Suppose the paper is 7"-wide by 9"-long.a. Estimate the maximum volume for this box?b. What cutout length produces the maximum volume?
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Mary sells to her father, robert, her shares in a corp for $55,000. the shares cost mary $80,000. how much loss may mary claim from the sale

Answers

Mary Purchase shares  = $80,000
Mary Sells shares = $55,000

Loss she can claim for = $80,000 - $55,000
                                     = $ 25,000 

A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. Which of the following statement is true about this hypothesis test?a) The additional training significantly increased the defect rate.b) The additional training significantly lowered the defect rate.c) The additional training did affect the defect rate.d) The additional training did not significantly lower the defect rate.e) None of these.

Answers

Answer:

d) The additional training did not significantly lower the defect rate

Step-by-step explanation:

Let proportion of defective chips be = x

Null Hypothesis [H0] : Additional training has no impact on defect rate             x = 8% = 0.08

Alternate Hypothesis [H1] : Additional training has impact on defect rate          x < 8% , x < 0.08  

Observed x proportion (mean) : x' = 27 / 450 = 0.06

z statistic = [ x' - x ]  / √ [ { x ( 1-x ) } / n ]

( 0.06 - 0.08 ) /  √ [ 0.08 (0.92) / 450 ]

= -0.02 / √ 0.0001635  

= -0.02  / 0.01278

z = - 1.56

Since calculated value of z, 1.56 < tabulated value of z at assumed 0.01 significance level, 2.33

Null Hypothesis is accepted, 'training didn't have defect rate reduction impact' is concluded

Please help Dekalbs current population is 3,500 and it is increasing by 40 people pr year. Sycamores current population is 12,040 and it is decreasing by 100 people every year

Q: Write expressions for each population if x represents the number of years
And What is the current population of dekalb?

Answers

Answer:

Dekalb: 3500+40x = F

Sycamores : 12,040 - 100x = F

Step-by-step explanation:

These expressions can be used to explain each population

X = number of years for both expression

F = Final population

Dekalb: 3500+40x = F

Sycamores : 12,040 - 100x = F

The current population if 3500 if no years have gone by, plug in the year of numbers for X to find final population after the amount of years.

Find the solution(s) to the system of equations. Select all that apply.y = x^2-2x-3
y=2x-3

Answers

Answer:

(0, -3) and (4, 5)

Step-by-step explanation:

y = x² − 2x − 3

y = 2x − 3

2x − 3 = x² − 2x − 3

0 = x² − 4x

0 = x (x − 4)

x = 0 or 4

If 150 mg of a drug is ordered IVP stat over 2 minutes, and the concentration of the drug is 75 mg/mL, find the total number of milliliters, and indicate how many milliliters you will administer per minute.A.

1 mL total, 1 mL/min.

B.

2mL total, 1 mL/min.

C.

4 mL total, 2 mL/min.

D.

10 mL total, 5 mL/minute

Answers

Answer:

(B) 2mL total, 1 mL/min.

Step-by-step explanation:

Given:

Amount of drug ordered = 150 g

Time = 2 minutes

Concentration of the drug = 75 mg/mL

now,

Concentration = Amount of drug / volume  .........(1)

thus,

Volume = Amount of drug / Concentration

or

Volume = 150 g / (75 g/mL)

or

Volume = 2 mL

also,

milliliters to administer per minute = Volume / time

or

milliliters to administer per minute = 2 mL / 2 min = 1 mL/min

Hence, the correct answer is option (B)

What is the volume of the cone below

Answers

Answer:

263.99Pi or 264Pi units by approximation

Step-by-step explanation:

Volume of cone is 1/3 x Pi x radius ^2 x height

Radius is given as 6, height as 22

Hence volume of cone= 1/3 x Pi x (6)^2 x 22

=1/3 x PI x36x 22

= 263.99 PI

=264PI units

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