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balandron [24]
2 years ago
11

Consider the system of equations. y=32x+5 y = 3 2 x + 5 y=34x+12 y = 3 4 x + 1 2 What is the solution to the system?

Mathematics
1 answer:
sleet_krkn [62]2 years ago
8 0

Answer:( -7/2 -107)

Step-by-step explanation:

Y=32x+5

Y=34x+12

Right?

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Suppose you have 60 red marbles and 40 blue marbles in a
andrew-mc [135]

Answer:  The required probability is 0.26.

Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a  box 10 marbles are picked without replacement.

We are to find the probability of selecting 6 red marbles.

Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

So,

n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.

Therefore, the probability of event E is given by

P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.

Thus, the required probability is 0.26.

6 0
3 years ago
solve for b 1/4(b-8)=2. I hope you have time to answer this. Thank you so much for your time you guys make me so happy
Mademuasel [1]

Answer:

16

Step-by-step explanation:

1/4(b-8)=2

b-8=2/(1/4)

b-8=2(4/1)

b-8=8

b=8+8

b=16

8 0
3 years ago
Read 2 more answers
59:26 What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple? 22 29 41 42
Vikki [24]
If the legs are length a and b and hyptonuse is c then
a²+b²=c²

so
if the legs are 20 and 21 and the hypotnuse is x then
20²+21²=x²
400+441=x²
841=x²
29=x
4 0
3 years ago
Read 2 more answers
Specify what an individual unit is in each of the following studies. Then specify what two variables were measured on each unit.
r-ruslan [8.4K]

Answer:

a) Unit: College Student

Variables of measurement: Procrastination and illness habits.

b) Unit: SUV cars

Variables: Manufacturing and car damage for two car manufactures.

Step-by-step explanation:

We are given the following in the question:

In a research, a unit is a single individual or object that is measured.

a) A study finds that college students who often procrastinate tend to be sick more often than students who do not procrastinate.

Since college students are asked about procrastination, then the unit in this study is college students.

Unit: College Student

Variables of measurement: Procrastination and illness habits.

b) A study finds that sport utility vehicles (SUVs) made by one car manufacturer tend to be more heavily damaged in a crash test than SUVs made by a second car manufacturer.

Since all SUVs cars are considered, the unit in this research is  SUV cars

Unit: SUV cars

Variables: Manufacturing and car damage for two car manufactures.

7 0
3 years ago
Factor over the complex numbers, if possible: x² + 2xyi - y2<br><br> What is the answer?
yanalaym [24]

9514 1404 393

Answer:

  (x +yi)²

Step-by-step explanation:

Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.

  (a +b)² = a² +2ab +b²

Here, we have a=x and b=yi. Then the factorization is ...

  x² +2xyi +(yi)² = (x +yi)²

8 0
3 years ago
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