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Hoochie [10]
2 years ago
11

Solve for X and Y please

Mathematics
1 answer:
Alona [7]2 years ago
5 0
See attached picture
You might be interested in
A university employs a total of 560 teaching assistants and research assistants. There are three times as many teaching
Scrat [10]

Answer:

170

Step-by-step explanation:

There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.

8 0
2 years ago
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

8 0
2 years ago
Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. a sample of 100 items is drawn from
Angelina_Jolie [31]

Solution: We are given:

μ=180,σ=25,n=100

Therefore the standard error of the mean is

\frac{standard deviation}{\sqrt{n}}

\frac{25}{\sqrt{100}}

2.5

6 0
3 years ago
There are 15 students on a yearbook committee. 40% of the students are females. How many students on the committee are males?
Andrei [34K]

Answer:

9 students on the committee are males

Step-by-step explanation:

As per the statement:

There are 15 students on a yearbook committee.

⇒Total students on a yearbook committee = 15

⇒\text{Male students} +\text{Female students} = 15     ....[1]

It is given that:

40% of the students are females

⇒\text{Female students} = \frac{40}{100} \cdot 15 = 6

Substitute in [1] we have;

\text{Male students} + 6 = 15

Subtract 6 from both sides we have;

\text{Male students}= 9

Therefore, 9 students on the committee are males

8 0
3 years ago
Read 2 more answers
A class has 10 boys and 12 girls. in how many ways can a committee of four be selected if the committee can have at most two gir
V125BC [204]
<span> C(12,0)C(10,4)+C(12,1)C(10,3)+C(12,2)C(10,2) = (1)(210)+(12)(120)+(66)(45) = 210+1440+2904 = 4554 Answeer: 4554 ways</span>
5 0
3 years ago
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