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MakcuM [25]
3 years ago
9

Four more than one third x

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

4 + x/3

4 + 1/3x

Step-by-step explanation:

Step 1: Convert "four" to number

4

Step 2: Covert "more than" to number

4 +

Step 3: Convert "one-third" to number

4 + 1/3

Step 4: Add variable <em>x</em> (multiplication)

4 + 1/3x

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“Solve the equation. Determine if it is undefined or not.”
lozanna [386]

Answer:  a) No Solution

               b) Infinite Solutions  (All Real Numbers)

<u>Step-by-step explanation:</u>

4(g + 8) = 7 + 4g

4g + 32 = 7 + 4g      <em>distributed 4 into g + 8</em>

        32 = 7             <em> subtracted 4g from both sides</em>

Since the statement is false because 32 ≠ 7, then there is NO SOLUTION

-4(-5h - 4) = 2(10h + 8)

20h + 16  = 20h + 16       <em>distributed</em>

           16  =           16        <em>subtracted 20h from both sides</em>

Since the statement is true because 16 = 16, then there are INFINITE SOLUTIONS so x can be all real numbers.

8 0
3 years ago
A simple random sample of size n=14 is obtained from a population with μ=64 and σ=19.
madam [21]

Answer:

a) A. The population must be normally distributed

b) P(X < 68.2) = 0.7967

c) P(X  ≥  65.6) = 0.3745

Step-by-step explanation:

a) The population is normally distributed having a mean (\mu_x) = 64  and a standard deviation (\sigma_x) = \frac{19}{\sqrt{14} }

b) P(X < 68.2)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x} but μ=64 and σ=19 and n=14,  \mu_x=\mu=64 and \sigma_x=\frac{ \sigma}{\sqrt{n} }=\frac{19}{\sqrt{14} }

Therefore: z=\frac{68.2-64}{\frac{19}{\sqrt{14} } }=0.83

From z table, P(X < 68.2) = P(z < 0.83) = 0.7967

P(X < 68.2) = 0.7967

c) P(X  ≥  65.6)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x}

Therefore: z=\frac{65.6-64}{\frac{19}{\sqrt{14} } }=0.32

From z table,  P(X  ≥  65.6) =  P(z  ≥  0.32) = 1 -  P(z  <  0.32) = 1 - 0.6255 = 0.3745

P(X  ≥  65.6) = 0.3745

P(X < 68.2) = 0.7967

5 0
3 years ago
A^8/a^3 <br> hey can someone help me
Stells [14]
A^8/a^3=a^5 you subtract the exponents
3 0
2 years ago
(20 points) Simplify The Expression with work/steps<br><br> (8+3i) + (-2+ i)
zimovet [89]

Given the expression (8+3i)+(-2+i)

We need to simplify it.

(8+3i)+(-2+i)

First we have to remove the parenthesis.

8+3i-2+i

As we know that multiplication of positive and negative is negative.

Now we will add or subtract like terms. Like terms means here i with i and constant term with constant term. So here we will add 3i and i. Also subtract 2 from 8.

8-2 +3i+i

6+4i

We have got the required answer.

The simplified answer is 6+4i.

6 0
3 years ago
A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Fi
sladkih [1.3K]

The ground, the building, and the ladder form a right triangle, in which
the leaning ladder is the hypotenuse.

For the angle between the ladder and the ground, the 4-ft along the ground
is the side adjacent to the angle, and the 7-ft ladder is the hypotenuse.

         (adjacent side) / (hypotenuse) = cosine of the angle.

                                         Cosine(a) = 4/7 = 0.57143... (rounded)

                                                    Angle 'a' = <em>55.15 degrees</em> (rounded)

7 0
3 years ago
Read 2 more answers
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