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3 years ago

Can someone explain to me how to change a fraction to a decimal example: 4 over 5

2 answers:

7 0

You have to divide the numerator (the top number) by the denominator (the bottom number) so it's .8 or percentage would be 8%

Ivanshal [37]3 years ago

3 0

U would divide 4 and 5. Since 4 is smaller than 5, you would put a decimal after 4 and put a 0 after the decimal. So it should look like this 4.0 divided by 5 and put the decimal up to the quotient and just divide normal and u should get 0.8

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24x^5-8x^4+12x^3-4x^2 / 4x^2

Margaret [11]

Answer:

The detailed process of simplification is :

Step-by-step explanation:

$\frac{24x^{5} - 8x^{4} + 12x^{3} - 4x^{2} }{4x^{2} }$

= $\frac{24x^{5} }{4x^{2} }$ - $\frac{8x^{4} }{4x^{2} }$ + $\frac{12x^{3} }{4x^{2} }$ - $\frac{4x^{2} }{4x^{2} }$ ..........................separate the terms

= 6 $x^{5-2}$ - 2 $x^{4-2}$ + 3 $x^{3-2}$ - 1 ................ subtract the power of x from denominator

= 6 $x^{3}$ - 2 $x^{2}$ + 3 $x$ -1

= 2 $x^{2}$ ( 3 $x$ -1 ) + (3 $x$ -1 )................................... Take (3 $x$ -1 ) common in (6 $x^{3}$ - 2 $x^{2}$ )

= (3 $x$ -1 ) (2 $x^{2}$ +1) .......................................Take (3 $x$ -1 ) common in whole equation

3 0

3 years ago

Which equation represents the line that passes through the points (2, 4) and (1, -3)?

zhannawk [14.2K]

Answer:

y = 7x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (1, - 3)

m = $\frac{-3-4}{1-2}$ = $\frac{-7}{-1}$ = 7, thus

y = 7x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 4), then

4 = 14 + c ⇒ c = 4 - 14 = - 10

y = 7x - 10 ← equation of line

6 0

3 years ago

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 m

bezimeni [28]

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

$f(x)=\dfrac{1}{5-0}=\dfrac{1}{5}=0.2\ \ ,\ 0$

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

$P(x>1.25)=\int^{5}_{1.25}f(x)\ dx\\\\=(0.2)[x]^{5}_{1.25}\\\\=(0.2)(5-1.25)=0.75$

Hence, the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

7 0

3 years ago

g Make a decision about the given claim. Use only the rare event rule, and make subjective estimates to determine whether event

vagabundo [1.1K]

Answer:

There is not sufficient evidence to support the claim.

Step-by-step explanation:

The claim to be tested is:

The mean respiration rate (in breaths per minute) of students in a large statistics class is less than 32.

To test this claim the hypothesis can be defined as follows:

H₀: The mean respiration rate of students is 32, i.e. μ = 32.

Hₐ: The mean respiration rate of students is less than 32, i.e. μ < 32.

The sample mean respiration rate of students is 31.3.

According to the claim the sample mean is less than 32.

The sample mean value is not unusual if the claim is true, and the sample mean value is also not unusual if the claim is false.

Thus, there is not sufficient evidence to support the claim.

7 0

3 years ago

Explain why triangleABC is similar to triangle triangle ADE

DedPeter [7]

Answer:

In the given figure, line segment is constructed on the triangle parallel to line segment . ... This line can then be considered as a transversal of these parallel lines. Angle and angle are therefore corresponding angles. And as they're corresponding, this means that they're equal.

7 0

2 years ago