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3 years ago

Fill in missing numbers. 48.9÷0.03=... ÷ 3

Mathematics

1 answer:

shepuryov [24]3 years ago

8 0

Answer:

4890

Step-by-step explanation:

Recognize the denominator has been multiplied by 100:

0.03 × 100 = 3

To have the same division problem, the numerator must also be multiplied by 100. This is the sort of decimal point adjustment usually carried out for long division: the divisor is made to be an integer, and the decimal point of the dividend is moved the same direction by the same number of places.

$\dfrac{48.9}{0.03}=\dfrac{48.9\cdot 100}{0.03\cdot 100}=\dfrac{4890}{3}$

The missing number is 4890.

____

The quotient is 1630.

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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

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9 months ago

A coin is tossed, and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube sh

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So,

Since this is independent probability, the probability of the event above occurring is:
$(probability\ of\ heads)(probability\ of\ even\ no.)$

First, the probability of landing on heads.
$\frac{1}{2}$

Now, the probability of rolling an even number.
<u /> $\frac{3}{6}\ or\ \frac{1}{2}$

Plug it into the equation.
$\frac{1}{2} * \frac{1}{2} = \frac{1}{4}$

The correct option is C.

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3 years ago

Expression for six minus b

Zanzabum

Answer:

6-b

Step-by-step explanation:

I hope this helps, and have a great day! :D

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2 years ago

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Use the Triangle Inequality Property to determine whether a triangle can be formed with the given side lengths. 4 m, 8 m, 9 m *

Illusion [34]

Answer:

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.

The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:

a + b > c; a + c > b; b + c > a

Given a triangle with side length 4 m, 8 m, 9 m:

4m + 8m = 12m > 9m

4m + 9m = 13m > 8m

8m + 9m = 17m > 4m

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.

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2 years ago

Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.

DENIUS [597]

We have that the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6. is

$m=\infty$

From the question we are told

Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.

Where Standard form of Equation is

y=mx+c

Generally the equation for the Slope is mathematically given as

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

Therefore

$m=\frac{-7-1}{-6-(-6)}\\\\ m= \infty$

Therefore

The slope of this line is

$m=\infty$

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brainly.com/question/23366835

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