A hospital employs a total of 77n nurses and doctors. The ratio of nurses to doctors is 9:2. How many nurses are employed at the hospital? How many doctors are employed at the hospital.

Answers

Answer 1
Answer:

Answer:

number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).

Step-by-step explanation:

Given the ratio of nurses to doctors is 9:2, we can express this as:

Number of nurses (9x) : Number of doctors (2x)

Now, you've mentioned that the total number of nurses and doctors employed at the hospital is 77n. So, we can set up an equation:

9x + 2x = 77n

Combine like terms:

11x = 77n

Now, to find the number of nurses (9x) and the number of doctors (2x), we need to divide both sides by 11:

9x = (77n) / 11

9x = 7n

Now, we can solve for x:

x = (7n) / 9

So, the number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).

In summary:

- Number of nurses = 7n

- Number of doctors = (14n/9)

solved by MG


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Answers

Answer:

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Scores on a test are normally distributed with a mean of 68.2 and a standard deviation of 10.4. Estimate the probability that among 75 randomly selscted students, at least 20 of them score greater that 78.

Answers

First, find the probability of scoring higher than 78. Scores are normally distributed, so you have

\mathbb P(X>78)=\mathbb P\left((X-68.2)/(10.4)>(78-68.2)/(10.4)\right)\approx\mathbb P(Z>0.9423)\approx0.173

Now, the event that any given student scores higher than 78 follows a binomial distribution. Here you have 75 total students (so n=75) with success probability p=0.173.

So the probability of getting 20 students that fit the criterion is

\mathbb P(Y=20)=\dbinom{75}{20}p^(20)(1-p)^(75-20)\approx0.0134

Gunner rides his bike 10 miles in 2 1/2 hours. How many miles per hour did Andre ride

Answers

Answer:

Step-by-step explanation:

10 miles divided by 2.5 hours is 4 miles per hour.

10/2.5 = 4

What’s the triangle congruence shortcut

Answers

Answer:

Side-Side-Side [SSS]

Step-by-step explanation:

You know this since the little bars sticking outside of the triangle show that those 2 lines are congruent. Then you know of one line being the same for both, so you then know all of the sides. And since all of the side lengths are equal, this triangle is congruent by Side-Side-Side.

Tell wether the the graph of each quadratic functions opens upward or downward y=-3x^2+4x Y=1-2x+6x^2 Y+x^2=-x-2 Y+2=x^2 Y-2x^2=-3 Y+2+3x^2=1

Answers

Hello,
all you have to see is the coefficient of x²:
if positive: upward
if negative : downward

y=-3x²+4x  ==> -3: downward

y=1-2x+6x² ==>6 : upward

y+x²=-x-2==>y=-x²-x-2 ==> -1: downward

y+2=x² ==>1: upward

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The Kahn's Family lives in a house that has a backyard in the shape of an isosceles trapezoid and a triangle. The area of the backyard can be expressed as the sum of the area of the triangle and the area of the trapezoid, which is 1/2bh+1/2(p+q)L The base and the height of the triangle are represented by b and h, respectively. The bases of the trapezoid are p and q, and the height of the trapezoid is L. 2 Rearrange the formula to find the length of base as a function of the lengths of the other sections of the backyard.

Answers

This is solved the way any 2-step linear equation is solved:

  1. subtract the term not containing the variable of interest, then
  2. divide by the coefficient of that variable.

... A = (1/2)bh + (1/2)(p+q)L

... A - (1/2)(p+q)L = (1/2)bh . . . . . subtract the term on the right

... (A -(1/2)(p+q)L)/(1/2·h) = b . . . .divide by (1/2)h, the coefficient of b

... b = (2A -(p+q)L)/h . . . . . . . . . . simplify