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Vaselesa [24]
3 years ago
13

Due to lace of funding,the number of students enrolled at the city college went from 7000 last year to 4000 this year . Fine the

percent decrease in enrollment
Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

There is 42.8% of decrease in enrollment comparing to previous year.

42.8% of 7000 is 3000 which is the difference. Just divide 3000/7000 to get the numbers

In other words, new enrollmeny is 57.1% of the previous one


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A contractor purchases a shipment of 100 transistors. It is his policy to test 10 of these transistors and to keep the shipment
Serjik [45]

Answer:

Hence the probability of the at least 9 of 10 in working condition is 0.3630492

Step-by-step explanation:

Given:

total transistors=100

defective=20

To Find:

P(X≥9)=P(X=9)+P(X=10)

Solution:

There  are 20 defective and 80 working transistors.

Probability of at least 9 of 10 should be working out 80 working transistors

is given by,

P(X≥9)=P(X=9)+P(X=10)

<em>{80C9 gives set of working transistor and 20C1 gives 20 defective transistor and 100C10 is combination of shipment of 10 transistors}</em>

P(X≥9)={80C9*20C(10-9)}/(100C10)+{80C10*20(10-10)}/(100C10)

<em>(Use the permutation and combination calculator)</em>

P(X≥9)=(231900297200*20/17310309456440)

+(1646492110120/17310309456440)

P(X≥9)=0.267933+0.0951162

P(X≥9)=0.3630492

4 0
3 years ago
Plz I need the answer to number 2 rewrite in on standard form with all steps I need this ASAP somebody answer!!!!!!!!!! I BEG U
rosijanka [135]

Answer:

8 -7/16 y+4/5 p - 3/8 y

-7/16 y -3/8 y expand fraction so it would turn to

-7y/16-3y/8

multiply by 2 on the 3/8 to get a common demominator

-7y/16-6y/16

-7y-6y/16

collect like terms

-13y/16

rewrite fraction

- 13/16y

so the whole equation would turn into

8-13/16y+4/5p

3 0
3 years ago
DEFFERENTIATE X^sinx
inna [77]

Answer:

y = x^(sin(x))

y = e^(SIN(x)*LN(x))

y' = (COS(x)·LN(x) + SIN(x)/x)*e^(SIN(x)*LN(x))

y' = (COS(x)·LN(x) + SIN(x)/x)*x^(SIN(x))


4 0
3 years ago
Read 2 more answers
Expand 3(z+3) please help me solve this
mojhsa [17]

Answer:

3(z+3) = 3z + 9 if thats what your asking

Step-by-step explanation:

7 0
3 years ago
Which statements about the system are true?
Kruka [31]

2 Answers:

  • B)  The lines are parallel
  • C)  The lines have the same slope.

Parallel lines always have equal slope, but different y intercepts.

==========================================================

Explanation:

Let's solve the second equation for y

3y - x = -7

3y = -7+x

3y = x-7

y = (x-7)/3

y = x/3 - 7/3

y = (1/3)x - 7/3

The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.

However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.

Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.

Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.

I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.

5 0
3 years ago
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