A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
y = 0 + 1x + 2x2 +
where
y = traffic flow in vehicles per hour
x = vehicle speed in miles per hour
The following data were collected during rush hour for six highways leading out of the city.
Traffic Flow () Vehicle Speed ()
1256 35
1330 45
1226 30
1335 50
1349 50
1124 25
a. Use the data to compute the coefficients of this estimated regression equation (to decimals).
b. Using , test for a significant relationship. (to decimals) -value (to decimals) The relationship - Select your answer - significant.
c. Estimate the traffic flow in vehicles per hour at a speed of miles per hour (to decimals). vehicles per hour.

Answer:

100cm

Step-by-step explanation:

Because 50x2=100 cm

Answer:

1

Step-by-step explanation:

By question it's given that ,

=> h(x) = -x - 1

=> h(-2) = -(-2)-1

=> h(-2) = 2 - 1

=> h(-2) = 1

Answer:

the ans is 1 hope ut may help u

Step-by-step explanation:

x=-2

x = -(-2) -1

x=2-1

x=+1

Answer:

x = 15.9

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = 25°

Opposite = x

Adjacent = 34

Apply the trigonometric function, TOA, since the Opp and Adj are involved

Thus:

Tan 25° = Opp/Adj

Tan 25° = x/34

34*Tan 25° = x

15.8544604 = x

x = 15.9 (nearest tenth)

Answer:

y = 2x - 3

2y = x - 12

Step-by-step explanation:

Answer:

The ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1

Solution:

Given that,

Five hundred sixth-grade students  were surveyed

Which means,

sixth-grade students = 500

125 had traveled on an airplane

What is the ratio of total sixth-grade students to the number of students who had  traveled on an airplane?

Therefore,

total sixth-grade students : students  traveled on airplane = 500 : 125

Ratio = 500 : 125

Reduce to lowest terms,

Divide both sides by 5

Ratio = 100 : 25

Further reduce to simplest terms,

Divide both sides by 25

Ratio = 4 : 1

Thus the ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1

Step-by-step explanation:

Answer:

round it to 18 since 9% of 195 is 17.55

Step-by-step explanation:

Answer:

about 33.24 yards

Step-by-step explanation:

a² + b² = c²

so, 36² + b² = 49²

1296 + b² = 2401

b² = 1105

Take the square root of both sides..

b = 33.24 yards

Answer:

A x=18

Step-by-step explanation:

Answer:

-78

Step-by-step explanation:

We need to find the value of -(-(-78))

We know that, -(-x) = +x

And -(-(-x)) = -x

We have,

x = 78

When two minus gets multiplied, we get a positive number and when a minus and a plus gets multiplied, we get a negative number. So,

-(-78) = +78

And

-(-(-78)) = -78

So, the numerical value is -78.

Answer: either B. or C. ( at least i tried. )

Answer:

1

Step-by-step explanation:

A third of 3=1

3/3=1

Answer:

A jug of milk

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: The answer is 143.59

Step-by-step explanation:

I just subtracted 279.51 from 423.1! :)

Answer:

240 inches squared

Step-by-step explanation:

12 x ( 3 + 17) =

12 x 20 =

240 inches squared

Answer:

[tex]X^2-2x+1[/tex]

Step-by-step explanation:

Traditional pattern for a perfect square:

[tex]x^{2} +2ax+a^{2}[/tex]

Which factors into: [tex](x+a)^2[/tex]

We know becuase a is "missing" from the original equation that it must equal 1; therefore:

[tex]x^2+2x+1[/tex]

Which we know is correct because it factors into: [tex](x+1)^2[/tex]

Answer:

2/3 lbs

Step-by-step explanation:

2 divided by 3=2/3=2/3

Happy learning!

Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]

[tex]M = 0.038[/tex]

The margin of error for the 90% confidence interval is of 0.038.

Answer:

The area of the trapezium is 18 ft²

Step-by-step explanation:

Given;

Two parallel sides of the polygon as  follows;

The first parallel side = 1 ft + 4 ft = 5 ft

The second parallel side = 4 ft

If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.

The area of a trapezium is calculated as;

[tex]A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2[/tex]

Therefore, the area of the trapezium is 18 ft²

Answer:

Dude Where's the Diagram?

Answer:

9

Step-by-step explanation:

the two lines on either sign of each number indicate absolute value, which is the numbers value from 0 (on a number line). You turn -12 and -3 into 12 and 3 and subtract as normal.

Answer:

595

Step-by-step explanation:

First term:  

7

7 ⋅ 4 = 28

Second term:

28

28 ⋅ 4 = 112

Third term:

112

112 ⋅ 4 = 448

Fourth term:

448

This geometric sequence can be further described by the equation:

aₙ = 7 ⋅ 4 ⁿ⁻¹

So if you want to find the 4th term,  n = 4

a ₄ =  7  ⋅  4 ⁴⁻¹  =  7  ⋅  4 ³  =  7  ⋅  64  = 448

Note:

aₙ  =  a₁  rⁿ ⁻¹

Answer:

The answer is 3 7/8 or 3.875

friday=237x3

=711

saturday=166

711-166=545

Answer:

A/5

Step-by-step explanation:

There are 2 people after 5 in the the 4| part and 3 under 6 in the 5| part.

Answer:

[tex]2 ( \sqrt{x} - {x}^{3} )[/tex]

Step-by-step explanation:

[tex] \sqrt{x} - x - (2 {x}^{3} - \sqrt{x} - x) [/tex]

[tex] \sqrt{x} - x - 2 {x}^{3} + \sqrt{x} + x[/tex]

[tex]2( \sqrt{x} - {x}^{3} )[/tex]