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andreyandreev [35.5K]
3 years ago
10

A farmer is planning to build a right triangular enclosure in his back pasture. He has already determined the length of the base

to be 30 yards, but is trying to determine the length of the other leg. To make a decision, he wants to know the length of the hypotenuse based on different lengths of the other leg. What can the farmer do to make it easier to determine these different lengths?
Mathematics
1 answer:
MissTica3 years ago
8 0
Plug in the other side for X Sorry if this is not helpful
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A box contains 24 transistors,4 of which are defective. If 4 are sold at random,find the following probabilities. i. Exactly 2 a
zavuch27 [327]

SOLUTION

This is a binomial probability. For i, we will apply the Binomial probability formula

i. Exactly 2 are defective

Using the formula, we have

\begin{gathered} P_x=^nC_x\left(p^x\right?\left(q^{n-x}\right) \\ Where\text{ } \\ P_x=binomial\text{ probability} \\ x=number\text{ of times for a specific outcome with n trials =2} \\ p=\text{ probability of success = }\frac{4}{24}=\frac{1}{6} \\ q=probability\text{ of failure =1-}\frac{1}{6}=\frac{5}{6} \\ ^nC_x=\text{ number of combinations = }^4C_2 \\ n=\text{ number of trials = 4} \end{gathered}

Note that I made the probability of being defective as the probability of success = p

and probability of none defective as probability of failure = q

Exactly 2 are defective becomes the binomial probability

\begin{gathered} P_x=^4C_2\times\lparen\frac{1}{6})^2\times\lparen\frac{5}{6})^{4-2} \\ P_x=6\times\frac{1}{36}\times\frac{25}{36} \\ P_x=\frac{25}{216} \\ =0.1157 \end{gathered}

Hence the answer is 0.1157

(ii) None is defective becomes

\begin{gathered} \lparen\frac{5}{6})^4=\frac{625}{1296} \\ =0.4823 \end{gathered}

hence the answer is 0.4823

(iii) All are defective

\begin{gathered} \lparen\frac{1}{6})^4=\frac{1}{1296} \\ =0.00077 \end{gathered}

(iv) At least one is defective

This is 1 - probability that none is defective

\begin{gathered} 1-\lparen\frac{5}{6})^4 \\ =1-\frac{625}{1296} \\ =\frac{671}{1296} \\ =0.5177 \end{gathered}

Hence the answer is 0.5177

3 0
1 year ago
The length of a rectangle is 3/2 units greater than its width. If the width is w, which expression gives the perimeter of the re
faltersainse [42]
W+w+(3/2+w)+(3/2+w)=perimeter
4w+6/2=perimeter
7 0
3 years ago
Read 2 more answers
Can somebody find the solution to this question
AleksAgata [21]
<h3>Answer: Solution is x = -2</h3>

You have two equations with y1 = f(x) and y2 = g(x).

We're looking for the values of x such that f(x) = g(x). This is the same as trying to solve y1 = y2.

The first row of the table shows y1 and y2 having the same value 5. So we just record the x value that goes with these y values.

5 0
3 years ago
there are 75 students on the sapphire team and 1/5 of them are in the band . how many students are in band?
faltersainse [42]

Answer:

15

Step-by-step explanation:

75/5 = 15

This spilts the 75 students into 5 different groups and each one has 15 which is 1/5 of the students

6 0
1 year ago
Put y + 3 = -3(x + 2) in slope-intercept form.
alexgriva [62]

Answer:

y + 3 =  - 3(x + 2) \\ y + 3 =  - 3x - 6 \\ y =  - 3x - 9

5 0
3 years ago
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