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alukav5142 [94]
3 years ago
11

Traveling at 65 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 125 miles from San

Diego to Malibu?
Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0
<h3>​Traveling at 65 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 125 miles from San Diego to Malibu?</h3>

We can establish a proportion:

Since an hour = 60 minutes​

If it takes 60 minutes to travel 65 miles​ (speed)

X minutes it will take to travel 125 miles​

X = 125miles*60 minutes/65 miles = 115 minutes approximately​

Answer : 115 minutes approximately​

​Hope this helps!​​​​

​\textit{\textbf{Spymore}}​​​​​​​

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Which of the following equations best represents the regression line for the data given in the table above?
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B. y = 3x - 2

Step-by-step explanation:

A linear regression line is in form of Y=A+Bx where B is the slope of the line and A is the intercept when x=0

Form a table as shown

x          y        xy           x²         y²

1           4         4            1          16

2           1          2           4          1

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From the table;

n=7 ---number of data points

∑x = 28

∑y=70

∑xy =360

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∑y² = 984

Applying equations for A and B

A=(∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²

A=(70)(140) - (28)(360) / 7(140)-(28²)

A=9800 - 10080 / 980-784

A= -280 /196

A= -1.43

B= n(∑xy)-(∑x)(∑y)  / n(∑x²)-(∑x)²

B=7(360)-(28)(70) / 7(140) - (28²)

B=2520-1960 /980-784

B=560/196

B=2.86

The equation will be;

Y=A+Bx

Y=-1.43+2.86x

Y=2.86x-1.43

Learn More

Regression line : brainly.com/question/12280902

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7 0
3 years ago
An airline experiences a no-show rate of 6%. What is the maximum number of reservations that it could accept for a flight with a
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Answer:

Step-by-step explanation:

Use the normal approximation to the binomial distribution

mean µ = np

standard deviation σ = √npq

Where,

n is sample size

p is probability of success.

q is probability of failure

Given that

q = 6% =0.06

Then, p = 1-q = 1-0.06 = 0.94

Therefore:

µ = pn

µ = 0.94n

Also

σ = √npq

σ = √(n)(0.94)(0.06)

σ = √(.0564n)

Using z-scores:

z = (x — µ )/σ

Using the data above

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Cross multiply

1.645√0.0564n = 160—0.94n

Square both sides

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0.8836n²-300.8n-0.153n +25600=0

0.8836n² — 300.953n + 25600 = 0

Using quadratic formula method.

a = 0.8836 b = -300.953 c = 25600

n = [-b±√(b²-4ac)]/2a

n = [--300.953±√((-300.953)²-4×0.8836×25600)] / (2 × 0.8836)

n = [300.953±√(92.07)]/1.7672

n = (300.953±9.6)/1.762

n = (300.953-9.6)/1.762

n = 168.22

Or

n = (300953+9.6)/1.762

n = 176.25

The maximum number of reservation is approximately 168.

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