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Ulleksa [173]
3 years ago
14

The answer or result of multiplication is called the ___________. (Points : 2)

Mathematics
2 answers:
goldenfox [79]3 years ago
7 0
The answer or result of multiplication is called product
Schach [20]3 years ago
5 0
The answer or result of multiplication is called the Product.
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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
Geometrical prove that limit X tends to zero sin x by X equals to 1 various is measured in radian​
11111nata11111 [884]

lim \frac{ \sin(x) }{x} = 1 \\

It is true only whenever x tends to 0(zero)

it is not importent that x be in radian or in degree.

7 0
3 years ago
the line containing the altitude to the hypotenuse of a right triangle whose vertices are p(-1, 1), q(3, 5), and r(5, -5).
finlep [7]

The equation of the straight line is given by 5y-x=6

An equation can be used to describe a straight line drawn on the Cartesian Plane. These equations have a generic structure and can change based on the slope and where the line intersects the axes.

We will greatly simplify this issue by utilizing the fact that this triangle is specified as a right triangle. We would have had to establish the presence of a right angle if it had been presented as a general triangle.

The segment QR is the hypotenuse of the triangle.

Any side's altitude is located along a line that is perpendicular to that side. We are aware that the slopes of perpendicular lines are negative reciprocals, or:

Slope of line joining  Q(3, 5) and R(5, -5)

m=\frac{y_2-y_1}{x_2-x_1}

Hence slope is= -10/2= -5

Now we know that for two perpendicular line the slope of one line is the negative reciprocal of the other.

Slope of line perpendicular to QR=1/5

This line passes through P(-1,1)

Equation of the straight line that passes through (1,-1) and with a slope of 1/5 is given by:

(y-y_1)=m(x-x_1)\\

Substituting the values we get:

y-1=1/5(x+1)

or,5y-5=x+1

or,5y-x=6

Hence the equation of the required line is : 5y-x=6

To learn more about straight lines visit:

brainly.com/question/17757770

#SPJ4

8 0
2 years ago
Can you help me simplify this expression 16d + 20c + 5d -7 - 8c - 7d + 3?
dimulka [17.4K]

Answer:

12c + 14d - 4

Step-by-step explanation:

16d + 20c + 5d -7 - 8c - 7d + 3

Simplify the expression

__________________________

To solve, we need to first take in mind the fact that there are different like terms within this expression. Like terms are numbers or values that end in different symbols, such as variables or exponents. Since we are filled with variables such as c and d. We can do as followed :

Combine the "d" like terms :

16d + 5d - 7d

21d - 7d

14d

Combine the "c" like terms :

20c - 8c

12c

Combine the constants :

-7 + 3

-4

Now add all of the values together to get the final expression.

12c + 14d - 4

6 0
3 years ago
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Which box of grass seed gives the better value for money?
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1000 g boxes costing 19.50
7 0
3 years ago
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