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3 years ago

9

2x + 3y = 6 x + 2y = 5

2 answers:

melisa1 [442]3 years ago

8 0

X
=
−
3
,
y
=
4
.
Explanation:
From the second equation, you know that
x
=
5
−
2
y
. Substitute this expression for
x
in the first equation to get
2
(
5
−
2
y
)
+
3
y
=
6
10
−
4
y
+
3
y
=
6
−
y
=
−
4
y
=
4
Now that we have found
y
, we can find
x
using
x
=
5
−
2
y
→
x
=
5
−
2
⋅
4
=
−
3

HOPE I HELPED :)

frutty [35]3 years ago

6 0

Answer:

y=4, x=-3

Step-by-step explanation:

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a random sample of 4 claims are selected from a lot of 12 that has 3 nonconforming units. using the hypergeometric distribution

Sloan [31]

Answer:

The probability that the sample will contain exactly 0 nonconforming units is P=0.25.

The probability that the sample will contain exactly 1 nonconforming units is P=0.51.

.

Step-by-step explanation:

We have a sample of size n=4, taken out of a lot of N=12 units, where K=3 are non-conforming units.

We can write the probability mass function as:

$P(x=k)=\frac{\binom{K}{k}\binom{N-K}{n-k}}{\binom{N}{n}}$

where k is the number of non-conforming units on the sample of n=4.

We can calculate the probability of getting no non-conforming units (k=0) as:

$P(x=0)=\frac{\binom{3}{0}\binom{9}{4}}{\binom{12}{4}}=\frac{1*126}{495}=\frac{126}{495} = 0.25$

We can calculate the probability of getting one non-conforming units (k=1) as:

$P(x=1)=\frac{\binom{3}{1}\binom{9}{3}}{\binom{12}{4}}=\frac{3*84}{495}=\frac{252}{495} = 0.51$

5 0

3 years ago

we said that the ratio of girls to boys in the class was 2:9. if there were 90 boys in the 9th grade, how many girls are there

Juliette [100K]

Answer:

20

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

Simplify:9-1÷2÷27^2÷3

sammy [17]

<u>First let's calculate the exponents.</u>

$27^2 : 729 = 9-1\div \:2\div \:729\div \:3$

<u>Now we should multiply and divide.</u>

<u /> $1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}$ <u />

<u>Now we should add and subtract.</u>

<u /> $9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}$ <u />

<u>Convert the improper fractions into mixed numbers.</u>

<u /> $8\frac{4373}{4374}$ <u />

<u />

<u>Answer : </u>

<u /> $8\frac{4373}{4374}$ <u />

<u />

5 0

3 years ago