2x -20 = -30
What is x?

Answer:

Step-by-step explanation:

Dollar amount of markup  = sticker price - invoice price

sticker price is what you pay to buy the car

invoice price is what the dealership has to pay the manufacturer of the car.

sticker price = 22450

invoice price = 19450

Dollar amount of the markup = 22450 - 19450

Dollar amount of the markup = 3000

Answer:

The 95% confidence interval for the true population mean textbook weight is between 66.24 and 71.76 ounces.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{8.2}{\sqrt{34}} = 2.76[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 69 - 2.76 = 66.24 ounces

The upper end of the interval is the sample mean added to M. So it is 69 + 2.76 = 71.76 ounces.

The 95% confidence interval for the true population mean textbook weight is between 66.24 and 71.76 ounces.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the regression equation :

y = 31.6 + 10.9x

x = the number of years of study ;

y = the grade on the test.

The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test

The predictor variable is x, which is the independent variable, which is the number of years of study.

From. The regression output given ;

The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9

The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)

Answer:

80 ft²

Step-by-step explanation:

You are given the formula

a = (1/2)bh

Just plug in the base and height, then multiply

a = (1/2) * 8 *20

a = (1/2) * 160

a = 80 ft²

Answer:

80 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area = [tex]\frac{1}{2} bh[/tex]

Area = [tex]\frac{1}{2}[/tex] 8 · 20

Area = [tex]\frac{1}{2}[/tex] 160

Area = 80 [tex]ft^{2}[/tex]

Answer:

9 inches

Step-by-step explanation:

Given

Let;

[tex]L = Length; W= Width[/tex]

So:

[tex]L_1=16in; W_1 = 6in[/tex]

[tex]L_2 = 24[/tex]

Required

Determine [tex]W_2[/tex]

To do this, we make use of the following equivalent ratios

[tex]L_1 : W_1 = L_2:W_2[/tex]

This gives

[tex]16 : 6= 24:W_2[/tex]

Express as fraction

[tex]\frac{6}{16}= \frac{W_2}{24}[/tex]

Multiply by 24

[tex]W_2 = 24 * \frac{6}{16}[/tex]

[tex]W_2 = 9[/tex]

Answer:

16 ounces/minute

Step-by-step explanation:

1 pound = 16 ounce

60 pound = 960 ounce

1 hour = 60 minute

960/60 = 16

Area of base triangle = 1/2×base×height

Area of base= 8×6×1/2= 24cm²

Area of prism = Bh = 24 × 12 = 288cm³

Answer:

Solution given:

base[b]=6cm

height [h]=8cm

length[l]=12cm

volume of a prism=area of triangle *length

=½*b*h*l=½*6*8*12=288cm³

is a required answer.

Answer:

Yes, it is:

Step-by-step explanation:

Given

[tex]f(x) =2xy[/tex]

Required

Determine if it is a direct variation

A direct variation is represented as:

[tex]f(x)\ \alpha\ x[/tex]

Express as equation

[tex]f(x) = kx[/tex]

Compare [tex]f(x) = kx[/tex] to [tex]f(x) =2xy[/tex]

[tex]k = 2y[/tex]

Hence, it is a direct variation

Answer:

$3.05

Step-by-step explanation:

Each box is $0.05

The shades boxes represent the value of coin in each pocket :

Number of shaded boxes on the left = 24

Value of coins in left pocket = 24 * $0.05 = $1.2

Number of shaded boxes on the right = 37

Value of coins in right pocket = 37 * $0.05 = $1.85

Tital value if coins :

$1.85 + $1.2

= $3.05

Answer:

3.6 x 10⁵ g of sodium chloride

Step-by-step explanation:

Answer:

3.6 x 10⁵ g

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]5u\leq 8u-21[/tex]

Subtract 8u from both sides

[tex]-3u\leq -21[/tex]

Divide by -3 on both sides

[tex]u\geq 7[/tex]

Interval notation: [greater/less than or equal to], (greater or equal to)

[7,∞)

The solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).

In mathematics, an inequality is a remark that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Here,

To solve the inequality 5u ≤ 8u - 21, we can start by isolating u on one side of the inequality. We can do this by subtracting 5u from both sides:

5u ≤ 8u - 21

-3u ≤ -21

Divide both sides by -3. Note that dividing by a negative number will reverse the direction of the inequality:

u ≥ 7

Therefore, the solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).

Learn more about inequality here:

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Answer:

980

hope it helps

Answer:

t think the answer is 1040.

∠ b = 43° — — { Vertical opp. angles]

Now, see 43 and a are together compromising the linear pair so,

= 43 + a = 180°

= a = 180 - 43

= a = 137

Like b, similarly here also a = c = 137° {Vertical opp. angles}

Answer:

-70x² + 49x - 63

Step-by-step explanation:

7( -10x² + 7x - 9) =

7( -10x²) + 7(7x) - 7(9) =

-70x² + 49x - 63

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

it's toooo complicated

D. y – 8 = –y minus 8 equals negative Start Fraction 2 Over 3 End Fraction left-parenthesis x plus 3 right-parenthesis.(x + 3)

Step-by-step explanation:

I took the test and got it right

Answer:

its D just did the test on edge

Step-by-step explanation:

Answer:

a. One-fourth (80)

b. One-fifth (80)

c. One-half (80)

d.  One-ninth (80)

the answer is C.

Step-by-step explanation:

Estimate .45 to .50 which is 1/2

= 1/2 (80)

hope this helps!

Answer:

cos0 = 6.8556546i/23 or sqrt-47/23

Step-by-step explanation:

hypotenuse is 23, opposite is 24

we have to find the adjacent using the pythagorean theorem

24^2 + b^2 = 23^2

576+b^2=529

subtract

b^2=-47

b=sqrt-47

sqrt of -47 is 6.8556546i, there is an i since it is the square root of a negative

cos = adjacent/hypotenuse

Answer:

x  > 3

Step-by-step explanation:

[tex]8x - 6 > 12 + 2x\\\\8x - 6 + 6 > 12 + 6 + 2x\\\\8x > 18 + 2x\\\\8x - 2x > 18 +2x-2x\\\\6x > 18\\\\\frac{6x>18}{6}\\\\\boxed{x > 3}[/tex]

Any value that is greater than 3 would be in the solution set for the inequality.

Hope this helps.

Answer:

x > 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

8x - 6 > 12 + 2x

Step 2: Solve for x

Answer:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

90% confidence interval between 2.8 and 3.4 tons. This means that the environmentalist can be 90% sure that the mean weight of all cars is in this interval, that is:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.

Answer:

112 yd²

Step-by-step explanation:

Surface area of the square pyramid = area of base + perimeter of base × slant height

Area of base = s²

s = 4 yd

Area = 4² = 16 yd²

Perimeter = 4(s)

Perimeter = 4(4) = 16 yd

Slant height = 6 yd

Surface area of the square pyramid = 16 + 16 × 6

= 16 + 96

= 112 yd²

The area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Area of rectangle = 0.35x0.2 = 0.07 square km

1 km = 1000 m

1 square km = 1000000 square m

Area of rectangle = 0.07x1000000 square m

Area of rectangle = 70000 square m

Thus, the area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.

Learn more about the rectangle here:

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===========================================

Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < x < \infty[/tex]

-----------------------------------

The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, [tex]y \ge 1[/tex] is the range which converts to the interval notation [tex][1, \infty)[/tex] which is the same as saying [tex]1 \le y < \infty[/tex]

-----------------------------------

Extra info:

The equation of this absolute value function is y = |x|+1