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NISA [10]
3 years ago
8

What is the value x of 4×+67=143

Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0
Answer: The answer is 19. Explanation: Subtract 67 on both sides. You then get 4x = 76. Divide 4 on both sides, x=19.
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A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6. Use this information to scale the horizo
gulaghasi [49]

Horizontal axis with 1, 2, and 3 standard deviations above the mean are 51.6, 56.2, 60.8

Horizontal axis with 1, 2, and 3 standard deviations below the mean are 42.4, 37.8, 33.2

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

A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6

  • Mean, M ⇒ 47
  • Standard deviation ⇒ 4.6

From this information, you have to scale the horizontal axis with the mean of this distribution and values at 1, 2, and 3 standard deviations above and below the mean.

Horizontal axis with 1, 2, and 3 standard deviations above the mean :

1 standard deviation above the mean ⇒ M + SD

⇒ 47 + 4.6 = 51.6

2 standard deviations above the mean ⇒ M + 2SD

⇒ 47 + (2 × 4.6) = 56.2

3 standard deviations above the mean ⇒ M + 3SD

⇒ 47 + (3 × 4.6) = 60.8

Horizontal axis with 1, 2, and 3 standard deviations below the mean :

1 standard deviation below the mean ⇒ M - SD

⇒ 47 - 4.6 = 42.4

2 standard deviations below the mean ⇒ M - 2SD

⇒ 47 - (2 × 4.6) = 37.8

3 standard deviations below the mean ⇒ M - 3SD

⇒ 47 - (3 × 4.6) = 33.2

8 0
3 years ago
Which point is on the graph of a direct variation equation in which k=0.4?
vladimir2022 [97]

Answer:

B. (10,4)

Step-by-step explanation:

Let x be the independent variable and y represents the dependent variable in the graph,

∵Graph represents the direct variation,

⇒ y ∝ x

⇒ y = kx

Where, k is the proportionality constant.

Here, k = 0.4,

⇒ Equation that shows in the graph would be,

y = 0.4x

At (4, 10),

10 = 0.4(4) ( False ),

⇒ (4, 10) is not in the graph.

At (10, 4),

4 = 0.4(10) ( True )

⇒ (10, 4) is on the graph.

At (0.04, 10),

10 = 0.4(0.04) ( false )

⇒ (0.04, 10) is not on the graph.

At (10, 0.04),

0.04 = 0.4(10) ( false )

⇒ (10, 0.04) is not on the graph.

8 0
3 years ago
What is the coefficient of the term of degree 8 in the polynomial below?
Nesterboy [21]
The correct answer is:  [D]:  "5 (five)" .
______________________________________________________
<u>Note</u>:  The term of "degree 8" is the term with a variable with 
           an exponent of "8" ;  which in this case is " + 5x⁸ ".

The "coefficient" is  "5" (five).
______________________________________________________
5 0
3 years ago
A movie theater has 200 of its 250 seats occupied . Write the fraction that shows the number of empty seats
guajiro [1.7K]
1/5. Reduce your fraction of 200/250.
6 0
3 years ago
What is the reason for statement 2 of the two-column proof?<br> Given: Prove: m Helpppppp!!!!!!
Strike441 [17]

Answer:

We have been given that PQ bisects . In the second statement of the given two-column proof, the statement is .

This implies that the two angles formed by bisection of angle  by the line PQ are equal. We know that the reason for this is simple. It is the definition of bisection of an angle that the two smaller angles formed will be equal to each other.

Therefore, the reason for statement 2 of the given two column proof is c) Definition of bisect

Step-by-step explanation:

7 0
3 years ago
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