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Viktor [21]
3 years ago
15

Compare 1⁄2 with 3⁄4 using ( <, >, =). A. 1⁄2 > 3⁄4 B. None of the above C. 1⁄2 = 3⁄4 D. 1⁄2 < 3⁄4

Mathematics
2 answers:
Igoryamba3 years ago
7 0

Answer:

1/2<3/4

Step-by-step explanation:

hope this helps

vampirchik [111]3 years ago
3 0
1/2 = 2/4;
Compare 2/4 with 3/4;
Because 2 < 3, we have 2/4<3/4;
Finally, 1/2<3/4;
The correct answer is D.
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Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.
bonufazy [111]

Answer:

The ratio of Tan B is

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}

Substituting the given values we get

\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}

OR

\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}

5 0
3 years ago
cuboid of length 24cm and volume 768cm^3 the width and hight are not equal.give a pair of possible values for their length.​
Brilliant_brown [7]

Answer:

Possible values of dimensions are (24,16,2) or (24,8,4)

Step-by-step explanation:

We are given the volume of the Cuboid and length . We are required to find the possible values of width and height from this information.

Let us say that the width is x and height is y

Length = 24

Volume of a cuboid = length * width * height

Volume = 768

768=24*x*y

xy=\frac{768}{24}\\xy=32\\

xy=32

Now the possible factors of 32

32=1*32 ( Which shall not be taken into consideration as length is already given as 24 and width or height can  not be more length)

32=2*16

32=4*8

Hence the possible values width are 8, 16 and that of height 4 and 2

Hence the possible values of dimensions are (24,16,2) or (24,8,4)

3 0
3 years ago
An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that n = 48

The probability that any integrated circuit is defective is 0.01.

This means that p = 0.01

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173

0.6173 = 61.73% probability that the product operates.

5 0
3 years ago
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