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kari74 [83]
3 years ago
15

A manager of a department store is interested in determining the percentage of people attracted to his store by magazine adverti

sing. Doing an extensive survey, he finds that the average number of people in his store on any given day who have seen the advertising is 200, while the standard deviation of this group is 40. Assuming that the number of people in the store who have seen the advertising has a normal distribution.
(a) Determine the probability that between 155 and 220 people will see the advertisement.
(b) Determine the probability that less than 230 people will see the advertisement.
(c) Determine the probability that less than 130 people will see the advertisement.
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0
The answer is determine the problem theat
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50 POINTS AVAILABLE!!
tester [92]

Answer:

they need to be in ratios format

Step-by-step explanation:

6 0
3 years ago
Find the difference (20m+3)-(7m-5)
xz_007 [3.2K]

Answer:

Simplifying

(20m + 3) + -1(7m + -5) = 0

Reorder the terms:

(3 + 20m) + -1(7m + -5) = 0

Remove parenthesis around (3 + 20m)

3 + 20m + -1(7m + -5) = 0

Reorder the terms:

3 + 20m + -1(-5 + 7m) = 0

3 + 20m + (-5 * -1 + 7m * -1) = 0

3 + 20m + (5 + -7m) = 0

Reorder the terms:

3 + 5 + 20m + -7m = 0

Combine like terms: 3 + 5 = 8

8 + 20m + -7m = 0

Combine like terms: 20m + -7m = 13m

8 + 13m = 0

Solving

8 + 13m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 13m = 0 + -8

Combine like terms: 8 + -8 = 0

0 + 13m = 0 + -8

13m = 0 + -8

Combine like terms: 0 + -8 = -8

13m = -8

Divide each side by '13'.

m = -0.6153846154

Simplifying

m = -0.6153846154Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If B=3x^{2}-x+3 and A=x-6, find an expression that equals 2B+3A in standard form.
Ivan

9514 1404 393

Answer:

  6x^2 +x -12

Step-by-step explanation:

Substitute for A and B and collect terms.

  2B +3A

  = 2(3x^2 -x +3) +3(x -6) . . . . substitute for A and B

  = 6x^2 -2x +6 +3x -18 . . . . . eliminate parentheses

  = 6x^2 +x -12 . . . . . . . . . . . . collect terms

7 0
3 years ago
A long distance runner starts at the beginning of a trail and runs at a rate of 4 miles per hour. two hours later, a cyclist sta
valina [46]

To solve this problem, let us first assign variables. Let us say that:

A = runner

B = cyclist

d = distance

v = velocity

time = t

 

The time in which the cyclist overtakes the runner is the time wherein the distance of the two is the same, that is:

dA = dB

 

We know that the formula for calculating distance is:

d = v t

therefore,

vA tA = vB tB

 

Further, we know that tA = tB + 2, therefore:

vA (tB + 2) = vB tB

4 (tB + 2) = 14 tB

4 tB + 8 = 14 tB

10 tB = 8

tB = 0.8 hours = 48 min

 

Therefore the cyclist overtakes the runner after 0.8 hours or 48 minutes.

8 0
3 years ago
Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4
Vanyuwa [196]

Answer:

f(x) = 0.2x - 4  (incorrect)

f(x) = 0.5x + 2  (correct)

f(x) = 1/2x + 2      (correct)

y – 3 = 1/2(x – 2)     (correct)

y – 1 = 0.5(x + 2)

Step-by-step explanation:

<em>Step 1 : Find two coordinates</em>

(0, 2) (-4, 0)

<em>Step 2 : Find the slope</em>

Slope = m = Y2-Y1/X2-X1

m = 0-2/-4-0

m = -2/-4

m = 1/2 or 0.5

<em>Step 3 : Find the y-intercept</em>

Y-intercept is where the line intersects the y-axis

c = 2

<em>Step 4 : Form the equation y=mx + c</em>

<em>Given Equations and their slope intercept forms:</em>

1) f(x) = 0.2x - 4

This is incorrect because slope is 1/2 or 0.5 and y intercept is 2

2) f(x) = 1/2x + 2

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

3) f(x) = 0.5x + 2

y= 0.5x + 2 (As m=0.5)

This is correct because slope is 1/2 or 0.5 and y intercept is 2

4) y – 3 = 1/2(x – 2)

Rearranging in slope intercept form:

y-3=1/2x - 1

y = 1/2x-1+3

y = 1/2x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

5) y – 1 = 0.5(x + 2)

y -1 = 0.5x+1

y = 0.5x +1+1

y = 0.5x + 2

This is correct because slope is 1/2 or 0.5 and y intercept is 2

!!

6 0
3 years ago
Read 2 more answers
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