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Zina [86]
4 years ago
12

There are 68 people employed by Food Giant in the Chang’s village. New workers receive $9.50 per hour while experienced workers

receive $14.00 per hour. The company spends a total of $835 per hour in wages. Find the number of new workers.
Mathematics
1 answer:
marusya05 [52]4 years ago
4 0
Let's named variables, new workers as x and experienced workers sa y.

We get two equations
x+y =68 ∧ 9.50x+14y=835

From the first equation we have x=68-y, then replace in the second and get

9.5 (68-y) + 14y = 835 =>   646 - 9.5y+14y=835 

4.5y= 835-646 => 4.5y=189  => y= 189/4.5 = 42

when we replace y=42 in the x=68-42 =26 we get x=26

The correct answer is

The number of new workers is 26 !

Good luck!!!!


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A machine used for packaging seedless golden raisins is set so that their standard deviation in the weight of raisins packaged p
Kazeer [188]

Answer:

population standard deviation does not differ from 0.25

Step-by-step explanation:

The hypothesis :

σ² = 0.25²

σ² ≠ 0.25²

The Chisquare statistic, χ²: (n-1)*s²/σ²

Where s² = sample variance ; sample size, n = 30

Using calculator, the sample variance, s² = 0.1646

χ² = (n-1)*s²/σ²

χ²: (30 - 1) * 0.1646 / 0.25²

χ² = (29 * 0.1646) / 0.0625

χ² = 0.3292 / 0.0625

χ² = 5.2672

α = 0.05

Using the Pvalue from Chisquare calculator ; df = 29

Pvalue = 1

Since, Pvalue > α ; We fail to reject the null and conclude that population standard deviation does not differ from 0.25

4 0
3 years ago
Suppose that w and t vary inversely and that t = 5/12
Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that w varies Inversely with t thus generally speaking w∝\frac{1}{t}  since they are inverted, <u>otherwise</u> if they were proportionally varied then w∝t. This means that there is a constant value ( a ) for which w is inversely proportional to t and can be mathematically expressed as:

w=\frac{a}{t}        Eqn. (1)

Now since we are given the values of w=4 and t=\frac{5}{12}, we can plug them in Eqn. (1) and find our constant of proportionality a as follow:

w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}

Now that we have our constant we can find the new t value for the second value of w=5 as follow:

w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\

Therefore based on the options give, we can see that Option B. is correct since

t=\frac{5}{3w} and for w=5, then t=\frac{1}{3}

8 0
3 years ago
I need help on it, I don’t know what I’m supposed to do
bogdanovich [222]

Answer:

The length of river frontage for each lot are 96.55 ft. 98.85 ft, 101.15 ft and 103.45 ft.

Step-by-step explanation:

See the attached diagram.

The river frontage of 400 ft will be divided into 84 : 86 : 88 : 90 for each lot as AP, BQ, CR, DS and ET all are parallel.

Therefore, PQ : QR : RS : ST = 84 : 86 : 88 : 90 = 42 : 43 : 44 : 45

Let, PQ = 42x, QR = 43x, RS = 44x and ST = 45x

So, (42x + 43x + 44x + 45x) = 400

⇒ 175x = 400

⇒ x = 2.2988.

So, PQ = 42x = 96.55 ft.

QR = 43x = 98.85 ft.

RS = 44x = 101.15 ft and  

ST = 45x = 103.45 ft

(Answer)

6 0
3 years ago
Help me asap i need it
s344n2d4d5 [400]

Answer:x = 56

Step-by-step explanation:

180-(60+64)=56

6 0
3 years ago
Work out 1% of 200 litres<br> need explination
Varvara68 [4.7K]

ANSWER

2

To find 1% of something (1/100 of something), divide by 100.

1% of 200 is 2.

6 0
3 years ago
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