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Gekata [30.6K]
3 years ago
5

In gym class, Ted runs 4/5 mile. His teacher runs 6 times that distance each day. how many miles does ted’s teacher run each day

?
Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

So 4/5 divided by 6 equals

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Solve the equation.<br><br> t-12=3
Elis [28]

<em>Answer:</em>

<em>t = 15</em>

<em>Step-by-step explanation:</em>

<em>t - 12 = 3</em>

<em>t = 3 + 12</em>

<em>t = 15</em>

8 0
3 years ago
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Suppose the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes. W
butalik [34]

Answer:

C) Uniform distribution

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely. In this case, the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes, so the correct answer is C.

We can calculate the probability.

Uniform probability distribution

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

For this problem, we have that:

Uniformily distributed over a 90 minute interval, that is, between 0 and 90, so b = 90 and a = 0.

We want to find P(X \leq 15) = \frac{15-0}{90-0} = 0.167

8 0
3 years ago
Corey bought 2 1/2<br> liters of paint for 60dollars <br> What was the cost per liter of paint?
sergij07 [2.7K]

Answer:

24 dollars per liter

Step-by-step explanation:

Take the number of dollars and divide by the number of liters

60 dollars / 2.5 liters

24 dollars per liter

6 0
3 years ago
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David has 30 sweets. He gives Sarah of his sweets and Joe 20% of his
gayaneshka [121]

Answer:

24

Step-by-step explanation:

20 percent of 30 is 6

30-6=24

therefore david has 24 sweets left

6 0
2 years ago
Which second-degree polynomial function has a leading coefficient of –1 and root 5 with multiplicity 2?
PIT_PIT [208]
A second degree polynomial function has the general form:

                  \displaystyle{f(x)=ax^2+bx+c, where a\neq0.

The leading coefficient is a, so we have a=-1.

5 is a double root means that :

i) f(5)=0,
ii) the discriminant D is 0, where D=b^2-4ac.

Substituting x=5, we have

                                        f(5)=a(5)^2+b(5)+c,

and since f(5)=0, and a is -1 we have:

                                          0=-25+5b+c
thus c=25-5b.


By ii) \displaystyle{b^2-4ac=0.

Substituting a with -1 and c with 25-5b we have:
                                     
          \displaystyle{b^2-4ac=0
          \displaystyle{b^2-4(-1)(25-5b)=0
          \displaystyle{b^2+4(25-5b)=0
          \displaystyle{b^2-20b+100=0
          \displaystyle{(b-10)^2=0
          \displaystyle{b=10 


Finally we find c: c=25-5b=25-50=-25

Thus the function is        \displaystyle{f(x)=-x^2+10x-25


Remark: It is also possible to solve the problem by considering the form

f(x)=-1(x-5)^2 directly.

In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is f(x)=a(x-r)^2
5 0
3 years ago
Read 2 more answers
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