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Yanka [14]
3 years ago
14

PLEASE HELP. graph the set of points which model is most appropriate for the set (-6,4)(-4,0)(-3,-2)(-1,-7)

Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0
A linear equation would be the best fit, but the last point (-1,-7) kinda messes it up. If the -7 would have been a -6 the line y=-2x-8 would fit perfectly.
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If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
Lunna [17]
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation

Calculate z-scores for the following random variable and determine their probabilities from standard tables.

x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088

x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912

x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587

x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413

Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36

Answer: 27

Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36

Answer: 27

Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78

Answer: 204

Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150

Answer: 150

3 0
3 years ago
A quantity with an initial value of 7600 decays exponentially at a rate of 55% every 7 days. What is the value of the quantity a
attashe74 [19]

Answer:

1539

Step-by-step explanation:

We solve the above question using the Exponential decay formula

= A(t) = Ao(1 - r) ^t

Ao = Initial Amount invested = 7600

r = Decay rate = 55% = 0.54

t = time in weeks = 2

Hence:

A(t) = 7600(1 - 0.55)²

A(t) = 7600 × (0.45)²

A(t) = 1539

Therefore, the value of the quantity after 2 weeks is 1539

6 0
3 years ago
Zoey makes $75 for 3 hours of work. How much money did Zoey make each hour?
stiks02 [169]
75/25 = 3
3x25 = 75
$25 per hour
7 0
2 years ago
Read 2 more answers
ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
garri49 [273]

Answer:

y = -1/4x - 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from the graph.</em>

Point (-4, -5)

y-intercept (0, -6)

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

  1. Substitute:                    m=\frac{-6+5}{0+4}
  2. Add:                              m=\frac{-1}{4}

<u>Step 3: Write linear function</u>

y = -1/4x - 6

7 0
2 years ago
When plotted on a grid, the paths between four neighborhood houses form the shape of a kite as shown.
KatRina [158]

Answer:

The area of the figure is 1,000 square feet

Step-by-step explanation:

we know that

The area of the kite ABCD

is equal to

A=\frac{1}{2}[AC*BD]

where

AC and BD are the diagonals of the kite

we have

BD=50\ ft\\AC=40\ ft

substitute

A=\frac{1}{2}[40*50]=1,000\ ft^2

3 0
3 years ago
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