We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 1209 1209 vehicles in the government’s 2016 Fuel Economy Guide give the regression line highway mpg = 7.903 + ( 0.993 × city mpg ) (a) What is the slope of this line? (Enter your answer rounded to three decimal places.)

slope:

What does the numerical value of the slope tell you?

Answers

Answer 1

Answer:

Final answer:

The slope of the line is 0.993. A positive slope indicates a positive linear relationship between city mpg and highway mpg.

Explanation:

Slope of the line:

The slope of a regression line represents the change in the dependent variable (in this case, highway mpg) for a one-unit increase in the independent variable (city mpg).

In this equation, the slope is given by 0.993. This means that for every one-unit increase in city mpg, the highway mpg is expected to increase by 0.993 units.

Numerical value of the slope:

The positive numerical value of the slope indicates that there is a positive linear relationship between city mpg and highway mpg. This means that as the city mpg increases, the highway mpg also tends to increase.

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What statement best describes a trapezoid? *1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles

Answers

Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

because it has two parallel side and and other are just lines but being quadrilateral its sum is 360

the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$ if the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15% find the percentage increase or decrease in the production cost of the printer

Answers

Answer:

The percentage increase in the production cost of the printer is 3%.

Step-by-step explanation:

We are given that the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$.

Also, the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15%.

Cost of raw material = $100

Cost of overheads = $80

Cost of wages = $120

So, the total cost of the printer = $100 + $80 + $120

= $300

Now, the increase in the cost of raw material = $100 + 11% of $100

= $\$100 + ((11)/(100) * \$100)$

= $100 + $11 = $111

The increase in the cost of overheads = $80 + 20% of $80

= $\$80 + ((20)/(100) * \$80)$

= $80 + $16 = $96

The decrease in the cost of wages = $120 - 15% of $120

= $\$120 - ((15)/(100) * \$120)$

= $120 - $18 = $102

So, the new cost of a printer = $111 + $96 + $102 = $309

Now, the percentage increase in the production cost of the printer is given by;

% increase = $\frac{\text{Net increase in the cost of printer}}{\text{Original cost of printer}} * 100$

= $(\$309- \$300)/(\$300) * 100$

= 3%

Hence, the percentage increase in the production cost of the printer is 3%.

Use the following steps to prove that log b(xy)- log bx+ log by. a. Letx-bp and y= bq. Solve these expressions for p and q, respectively
b. Use the property b*b b to express xy in terms of b, p, and q
c. Compute log b(xy) and simplify

Answers

Answer with Step-by-step explanation:

a. $x=b^p$

$y=b^q$

Taking both sides log

$log x=plog b$

Using identity: $logx^y=ylogx$

$p=(logx)/(log b)=log_b x$

Using identity: $log_x y=(log y)/(log x)$

$log y=qlog b$

$q=(log y)/(log b)=log_b y$

b. $xy=b^pb^q$

We know that

$x^a\cdot x^b=x^(a+b)$

Using identity

$xy=b^(p+q)$

c. $log_b(xy)=log_b(b^(p+q))$

$log_b(xy)=(p+q)log_b b$

Substitute the values then we get

$log_b(xy)=(log_b x+log_b y)$

By using $log_b b=1$

Hence, $log_b(xy)=log_b x+log_b y$

Final answer:

To prove the property log b(xy) = log bx + log by, we let x = $b^p$ and y = $b^q$ , express xy in terms of the base b and the exponents p and q, and then use the properties of logarithms to show the equality.

Explanation:

The student is asking to prove the logarithmic property − log b(xy) = log bx + log by. Here's a step-by-step explanation:

Let x = bp and y = bq. To solve for p and q, take the logarithm base b of both sides. Thus, p = logbx and q = logby.

Using the property of exponents, xy = bp*bq = bp+q.

Now compute logb(xy). According to the logarithmic property, logb(bp+q) = p + q. Since p = logbx and q = logby, then logb(xy) = logbx + logby.

Therefore, we have proven the given logarithmic property using the steps provided in the question.

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Are these proportional. which is

Answers

Answer:

Only the one to the left

Step-by-step explanation:

Because they are all equivalent ratios

Follow these steps to prove the given quadrilateral is a parallelogram 1. determine the slope of AB

Answers

Answer:

1.) 4/3

2.) 4/3

3.) 5

4.) 5

Step-by-step explanation:

I just took the test

Answer:

4/3

Step-by-step explanation:

i just did the assignment

The ratio of the number of boys to the number of girls in the math club is 4 to 3.There are 36 girls in the math club. How many boys are in the math club?

Answers

Answer:

mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

48 boys

Step-by-step explanation:

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