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zepelin [54]
3 years ago
10

Please solve the equation _4(4n+2)=4

Mathematics
2 answers:
MrRissso [65]3 years ago
8 0
16n+8=4
16n=4-8
16n=-4
n=-4/16
n=-1/4.
Andreas93 [3]3 years ago
6 0

16n+8=4

16n= 12

n= 0.75?

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Explain why the slope of a horizontal line is always zero
Monica [59]

The slope of a line is always zero because the line does not move up or down on the y-axis.

5 0
3 years ago
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Which expressions are equivalent to \dfrac{2^5}{6^5}
DerKrebs [107]

We have been given an expression \frac{2^5}{6^5}. We are asked to choose the expressions, which are equivalent to our given expression.

Using exponent property \frac{1}{a^n}=a^{-n}, we can rewrite our given expression as:

\frac{2^5}{6^5}=2^5\cdot 6^{-5}

Upon looking at our given choices, we can see that option D is the correct choice.

Let us simplify our given expression.

\frac{2^5}{6^5}=\frac{2^5}{(2\cdot 3)^5}

\frac{2^5}{6^5}=\frac{2^5}{2^5\cdot 3^5}

Upon cancelling out 2^5 from numerator and denominator, we will get:

\frac{2^5}{6^5}=\frac{1}{3^5}

Using exponent property \frac{1}{a^n}=a^{-n}, we will get:

\frac{1}{3^5}=3^{-5}

Therefore, option B is a correct choice as well.

3 0
4 years ago
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Suppose that the distribution is bell-shaped. If approximately 99.7% of the lifetimes lie between 568 hours and 1066 hours, then
irakobra [83]

Answer:

\sigma =\frac{478}{6}=79.667

Step-by-step explanation:

The empirical rule, also referred to as "the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)". The empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

And on this case since we are within 3 deviations (because we have 99.7% of the data between 568 and 1066hours), the result obtained using the z score agrees with the empirical rule.  

So on this case we can find the standard deviation on this ways:

\mu -3\sigma = 568     (1)

\mu +3\sigma = 1066   (2)

If we subtract conditions (2) and (1) we got:

1066-588 =\mu +3\sigma -\mu +3\sigma

478= 6\sigma

\sigma =\frac{478}{6}=79.667

3 0
3 years ago
Please Evaluate this expression...4a-2b for a-5 and b=3
Gre4nikov [31]

Answer:

14

Step-by-step explanation:

(4*5)+(2*3)

20-6

14.

8 0
3 years ago
Use the net as an aid to compute the surface area of the triangular prism. A) 108 cm2 B) 120 cm2 C) 132 cm2 D) 170 cm2
nadya68 [22]

Step-by-step explanation:

Since there is no diagram of the triangular prism that we are required to calculate it's surface area. We can just fix random dimensions in order to enable us understand what we are required to do.

Meanwhile, a triangular prism is a solid shape that possesses two parallel triangles or triangular faces and about three rectangles or rectangular faces.

Example 1:

Calculate the surface area of a triangular prism with side 8cm, base 6cm and height 7cm.

Formula for calculating the surface area of a triangular prism is;

ab + 3bh

Where a = side of the prism

b = base of one of the triangular faces

h = height not the triangular face/prism.

Here a = 8cm

b = 6cm

c = 7cm

Substituting properly;

(8 × 6) + 3(6 × 7)

= 48 + 126

= 174cm^2. The surface area of the triangular prism is 174cm^2.

Example 2.

A triangular prism with side 9cm, height 4cm and base 5cm will be wrapped with a sheet of wrapping foil. Calculate the surface area of this rectangular prism.

The formula for calculating the surface area of a triangular prism = ab + 3bh

Where a = side

b = base

h = height of prism

In this case, a = 9cm

b = 5cm

h = 4cm

Substituting appropriately, we will have:

(9 × 5) + 3(5 × 4)

45 + 60

= 105cm^2

So, the surface area of this triangular prism is 105cm^2

8 0
3 years ago
Read 2 more answers
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