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shusha [124]
3 years ago
11

Question 15 of 40

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0

Answer:

Option C: n = 32; p^ = 0.4

Step-by-step explanation:

The normal curve can be used in this case if; np ≥ 10 or n(1 - p) ≥ 10

A) For n = 28 and p = 0.3;

np = 28 × 0.3 = 8.4 < 10

Thus, it can't be used.

B) For n = 28 and p = 0.9;

np = 28 × 0.9 = 25.2 > 10 Ok

n(1 - p) = 28(1 - 0.9) = 2.8 Not Ok

Thus, it can't be used

C) For n = 32 and p = 0.4

np = 32 × 0.4 = 12.8 > 10 Ok

n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok

Thus, it can be used

D) For n = 32 and p = 0.2

np = 32 × 0.2 = 6.4 < 10 Not Ok

Thus it can't be used.

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-3a

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Answer:

m=\frac{-5}{2}

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Choose any 2 points from the chart.</em>

Point (-6, 11)

Point (-2, 1)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{1-11}{-2+6}
  2. Subtract/Add:               m=\frac{-10}{4}
  3. Simplify:                        m=\frac{-5}{2}
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3 years ago
What is the domain and range for this graph?
Zinaida [17]

<u>Domain</u> is the <u>x value</u> (here,y) while the <u>range</u> <u>value</u> is <u>y</u> (x,here).

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For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range.
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f ( x ) = - ( x + 1)^2 + 4

_____________________

Vertex = ( - 1 , 4 )

♡♡♡♡♡♡♡♡♡♡♡♡

Domain = R

♡♡♡♡♡♡♡♡♡♡♡♡

Range = ( - infinite , 4 ]

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The endpoints of CD are C(3,−5) and D(7, 9).<br> The coordinates of the midpoint M of CD are?
Nutka1998 [239]

Answer:

M(5,2)

Step-by-step explanation:

We use the midpoint rule:

( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )

We just have to find the arithmetic mean of the x and y-coordinates.

The endpoints of CD are given as C(3,−5) and D(7, 9).

We substitute these values to get:

( \frac{7 + 3}{2}, \frac{9 +  - 5}{2} )

( \frac{10}{2}, \frac{4}{2} )

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