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V125BC [204]
3 years ago
5

A middle school took all of its

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0
If there is 1000 seats, and the students took 45% percent of them, then 450 sixth graders went on the trip
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78 is what percent of 110
irinina [24]

Answer: 70.909090909091%

Step-by-step explanation: Reading through the problem we have <em>78 is</em>, that's 78 equals, <em>what percent</em>, x/100, <em>of 110</em>, times 110.

It's important to understand that <em>percent</em> means over 100 so what percent would simply mean <em>x/100</em> or any variable but I will be using x.

So we have the equation 78 = \frac{x}{100} *110

So cross canceling the 110 and 100 to 11 and 10, we have 78 = \frac{11x}{10}

Multiply both sides by 10 to get rid

of the fraction and we have 780 = 11x.

Now divide both sides by 11 and 70.909090909091 = x.

So, 78 is 70.909090909091% of 110.

Work is attached in the image provided.

8 0
3 years ago
Which functions graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed
faltersainse [42]

Answer: y= -4cos (pi/4x)-3

Step-by-step explanation:

3 0
3 years ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
DerKrebs [107]

Answer:

a) The probability that this whole shipment will be​ accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007

8 0
2 years ago
Simplify this expression <br> 2/3 (6c+9)−(8c−5)
Ludmilka [50]

Answer:

This is the right answer −4c+11

Step-by-step explanation:

3 0
2 years ago
What would be the equation for this and the answer
atroni [7]

Answer:

The answer is k=61-26

Step-by-step explanation: This is because if you were to subtract 61 from 26 you will get 35. If you take 35 and add it to 26 you will get 61.

4 0
3 years ago
Read 2 more answers
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