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enyata [817]
3 years ago
12

How do you solve the equation:

Mathematics
1 answer:
Molodets [167]3 years ago
5 0
Copy and paste the answer on quizlet
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A general formula for a parabola is x2 = 4py. What is the value of p in the equation x2 = 12y? p =
stepladder [879]

Answer:

p=3

Step-by-step explanation:

The given parabola has equation ;

x^2=12y

The general formula for a parabola is;

x^2=4py

To find the value of p, we need to compare the coefficient of y in both equations;

\implies 4p=12

Divide both sides by 4;

\implies p=\frac{12}{4}

\implies p=3

5 0
3 years ago
The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds
Lerok [7]

Answer:

P_B(X\leq35)=P_N(X

Step-by-step explanation:

If we approximate the binomial distribution with a normal distribution, we have to apply a correction factor for the fact that we are now dealing with a continuous variable instead of a discrete one, as it was with the binomial distribution.

The probability of no more than 35 defective CDs: P(X<35)

In this case, as X=35 is not included in the interval, we start the interval from X=35-0.5=34.5.

P_B(X\leq35)=P_N(X

being Pb the probability under the binomial distribution and Pn the probability under the normal distribution.

The area for the normal distribution is the one below X=34 (or P(X<34)).

4 0
3 years ago
Find the indicated conditional probability
andrezito [222]

Given:

The two way table.

To find:

The conditional probability of P(Drive to school | Senior).

Solution:

The conditional probability is defined as:

P(A|B)=\dfrac{P(A\cap B)}{P(B)}

Using this formula, we get

P(\text{Drive to school }|\text{ Senior})=\dfrac{P(\text{Drive to school and senior})}{P(\text{Senior})}                      ...(i)

From the given two way table, we get

Drive to school and senior = 25

Senior = 25+5+5

           = 35

Total = 2+25+3+13+20+2+25+5+5

         = 100

Now,

P(\text{Drive to school and senior})=\dfrac{25}{100}

P(\text{Senior})=\dfrac{35}{100}

Substituting these values in (i), we get

P(\text{Drive to school }|\text{ Senior})=\dfrac{\dfrac{25}{100}}{\dfrac{35}{100}}

P(\text{Drive to school }|\text{ Senior})=\dfrac{25}{35}

P(\text{Drive to school }|\text{ Senior})=0.7142857

P(\text{Drive to school }|\text{ Senior})\approx 0.71

Therefore, the required conditional probability is 0.71.

5 0
3 years ago
Read 2 more answers
2a+3/2 - a-2/3 = a-1/4
lesya [120]

Answer:

No solutions

Step-by-step explanation:

2a+\dfrac{3}{2}-a-\dfrac{2}{3}=a-\dfrac{1}{4}\\a+\dfrac{5}{9}=a-\dfrac{1}{4}\\\dfrac{5}{9}=\dfrac{1}{4}

This equation has no solutions. Hope this helps!

7 0
3 years ago
Read 2 more answers
The Pep band made $640 during a fund-raiser. The band spent $400 of the money on new uniforms. What percent of the total did the
vfiekz [6]

Answer:62%

Step-by-step explanation: if you divide the amount spent by the amount made you get the percentage

5 0
3 years ago
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