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balandron [24]
3 years ago
12

HELP PLEASE! 50 POINTS AND WILL MARK BRAINLIEST.

Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Answer:

a) independent = hours

   dependent = wages

b ) W = 10 + 5h

c)27.50

Step-by-step explanation:

The independent variable is the one that you change which is the number of hours that it takes

The dependent variable is the variable that changes based on the independent variable.  The wages depends on the hour worked so the wages are the independent variable

The wages equal the fixed cost plus the hourly rate times the number of hours  where W is the wages and h is the number of hours

W = 10 + 5h

W = 10 + 5( 3.5)

    = 10 + 17.5

    = 27.5

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Y=5/2x -4 how to graph it
Igoryamba

Looking at y=-%285%2F2%29x we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F2 and the y-intercept is b=0 note: y=-%285%2F2%29x really looks like y=-%285%2F2%29x%2B0

Since b=0 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point  

Now since the slope is comprised of the "rise" over the "run" this means

slope=rise%2Frun

Also, because the slope is -5%2F2, this means:

rise%2Frun=-5%2F2

which shows us that the rise is -5 and the run is 2. This means that to go from point to point, we can go down 5 and over 2

So starting at , go down 5 units

and to the right 2 units to get to the next point  

Now draw a line through these points to graph y=-%285%2F2%29x

So this is the graph of y=-%285%2F2%29x through the points  

Hope this helps

Please give me Brainliest

8 0
3 years ago
Julio says,"If you subtract 15 from my number and multiply the difference by -7,the result is -175." What is Julios number
maw [93]

Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

7 0
2 years ago
A machine makes two components; call them types A and B. It takes 250 seconds to switch production between the component types.
Alexus [3.1K]

Answer:

The average inventory depends on the manufacturing batch size.

Its formula is:

Inventory=\frac{n}{3n+250}

Step-by-step explanation:

The question is incomplete.

Question complete:

<em>"A machine makes two components, call them type A and B. It takes 250 seconds to switch production between the component types. During that time no production occurs. When in production, each unit of A or B requires 0.5 seconds to be completed. The two components, A and B are combined in an assembly process to make a final product, call it C. The assembly step can combine the two components into 1 unit every 2 seconds. What is the average inventory of B components?"</em>

We have two steps in this process: the manufacturing of A and B and the assembly process.

We are not told about the batch size, so we will treat that as a variable called n. This represents the amount of units (of A or B) that are manufactured per cycle.

Time (seconds) to manufacture n units of A and n units of B:

T_m=n*0.5+n*0.5+250=n+250

Time (seconds)to assemble n units of C

T_a=n*2=2n

Then the total time of the cycle is:

T_m+T_a=n+250+2n=3n+250

The average inventory of B is n units per cycle, which lasts (3n+250) seconds.

Inventory=\frac{n}{3n+250}

For a batch size of 100 units, the average inventory is:

I_{100}=\frac{100}{3*100+250}=\frac{100}{550}=  0.182\, units/second

For a batch size of 1,000 units, the average inventory is:

I_{1000}=\frac{1000}{3*1000+250}=\frac{1000}{3250}=  0.308\, units/second

5 0
3 years ago
Fifteen people have been exposed to a particular disease. Each one independently has a 40% chance of contracting the disease. A
valina [46]

Answer: e. .0950

Step-by-step explanation:

Let X be the number of people that can be cure from disease.

Since each people independently has a 40% chance of contracting the disease.

So , X\sim Binomial(n=15,p=0.40)

A hospital has the capacity to handle at most 8 cases of the disease.

Binomial distribution formula : P(X=x)= ^nC_xp^x(1-p)^{n-x}

Then , the probability that the hospital’s capacity will be exceeded

P(X>8)=1-P(X\leq8)\\\\=1-0.905\ \ [\text{Using Binomial distribution table for n=15 , x=8 and p=0.4.}]

=0.095

Hence, the probability that the hospital’s capacity will be exceeded is e. .0950.

Thus , the correct option is e. .0950.

8 0
3 years ago
An arts academy requires there to be 5 teachers for every 95 students and 6 tutors for every 48 students. How many students does
sveticcg [70]

Answer:

10 tutors

Step-by-step explanation:

48/6 = 8 student/tutor

78/8 = 9.75 tutors

10 tutors

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