1. Garbage Production. Based on a sample of 62 households, the mean weight of discarded plastic is 1.93 pounds and the standard deviation is 1.08 pounds (data from the Garbage Project at the University of Arizona). Use a single value to estimate the mean weight of discarded plastic for all households. Also, find the 90% confidence interval.

Answer:

A

Step-by-step explanation:

Every input (x value) can have only ONE ouput (y value) to be a function, y- values can be repeated but x- values cannot

Hope that helps

Answer:

a = 1/5 b

Step-by-step explanation:

A direct variation is given by

a = k*b where k is the constant of variation

3 = k* 15

Divide each side by 15

3/15 = k*15/15

1/5 = k

a = 1/5 b

Answer:

a = 1/5 b

Step-by-step explanation:

Answer:

-1.76

Step-by-step explanation:

-2 is equal to -2, so it works (greater or less than -2)

-2.45 is less than -2, so it works

-8 is less than -2, so it works

-1.75 is greater than -2, so it doesn't work

Answer:

can you retype the equation

I think it is not correctly typed

Answer:

6(4f - 5g)

Step-by-step explanation:

4f × 6 - 6g × 5 = 24f - 6g × 5

24f - 30g → 6 (4f - 5g)

Hope this helped! :)

Answer:

f(6)−6*g(5)= 6f - 30g

Step-by-step explanation:

Hope this helped you!

Answer:

y = x+5

Step-by-step explanation:

The y intercept is 5  ( where it crosses the y axis)

We need two points to find the slope

(0,5) and (1,6)

The slope is

m = (y2-y1)/(x2-x1)

    = (6-5)/(1-0)

   = 1/1

    =1

The slope intercept is

y = mx+b

y   = 1x +5

y = x+5

Answer:

y = x + 5

Step-by-step explanation:

Slope intecept form: y = mx + b

y = x + 5

It is just x because the slope is 1/1 or rise over run. The intercept is 5 because the line crosses the y axis at the point 5.

Your answer would be 0.14 to the nearest hundredth.

The question P(Walk to school | Senior) is asking for the probability that a student walks to school given that they're a senior. Therefore we have to count how many total senior students there are, which is 35.

To form the probability, we then need to see how many of these 35 students walk to school, which we're given as 5. Thus, the probability is 5/35 which simplifies to 1/7.

1/7 as a decimal is 0.1429, which, when rounded to the nearest hundredth, gives us 0.14.

I hope this helps! Let me know if you have any questions :)

Step-by-step explanation:

work is shown and pictured

Answer:

you need 2 cups of sugar

Step-by-step explanation:

1/2 cups of sugar = 3/4 cup of flour

x = 3 cups of flour

1/2*3 = 3/4x

3/2 = 3/4x

x =3/2 ÷ 3/4

x =2

Answer:

Step-by-step explanation:

[tex]3\sqrt2=\sqrt{3^2\cdot2}=\sqrt{18}\\\\2\sqrt3=\sqrt{2^2\cdot3}=\sqrt{12}\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>\sqrt{17}>\sqrt{15}>\sqrt{14}>\sqrt{13}>2\sqrt{3}[/tex]

{√16 = 4 is rational}

Answer:

How could he have used 9 lbs of lemons when he only went and bought 2 1/4 lbs? So, his work was NOT correct.

Step-by-step explanation:

Answer:

it is d

Step-by-step explanation:

got it right

Answer:

C. undefined.

Step-by-step explanation:

Find the slope of the line, using the following equation:

m = (y₂ - y₁)/(x₂ - x₁)

Find two points that are located on the line.

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (-4 , 1)

Plug in the corresponding numbers into the corresponding variables.

m = (1 - 0)/(-4 - (-4))

Note that when you have two negative signs directly next to each other, it becomes an addition:

m = (1)/(-4 + 4) = 1/0

You cannot have a slope of rise 1, run 0, so your answer is undefined.

C. undefined.

~

Answer:

774 km

Step-by-step explanation:

Actual distance

[tex] =\frac{4.3}{100000} \times 18000000 \\ \\ = 4.3 \times 180 \\ = 774 \: km[/tex]

1)

4136 mm = 4136/1000 = 4.136 m = 4.14 m

2)

Since 1 yard = 91.44 cm

Hence, 14.7 yard = 14.7*

91.44 = 1,344.168 cm = 1344 cm

3)

342 inches = 9 yards, 1 ft, 6 inches.

Answer:

603.2

Step-by-step explanation:

V=πr^2h

V=π(4)^2(12)

V=π(4)^2(12)

V=603.1857895

Answer:

If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.

Therefore, the ratio would be 345:575.

Hope this is right and helps :)

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

[tex]Tan\ x = \frac{Opposite}{Adjacent}[/tex]

[tex]Tan\ x = \frac{5}{8}[/tex]

[tex]Tan\ x = 0.625[/tex]

Take arctan of both sides

[tex]x = tan^{-1}0.625[/tex]

[tex]x = 32.0053832081[/tex]

[tex]x = 32[/tex] (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

[tex]Tan\ y = \frac{Opposite}{Adjacent}[/tex]

[tex]Tan\ y = \frac{8}{5}[/tex]

[tex]Tan\ y = 1.6[/tex]

Take arctan of both sides

[tex]y = tan^{-1}1.6[/tex]

[tex]y = 57.9946167919[/tex]

[tex]y = 58[/tex] (Approximated)

By comparing the angles, the smallest angle is 32 degrees

Hello!

[tex]\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}[/tex]

There are 100 centimetres in a metre. So, our denominator will be 100.

The numerator is 5 because that is the number of centimetres.

⇒ [tex]\frac{5}{100}[/tex]

This fraction can be reduced, since 5 goes into the denominator evenly.

5 ÷ 5 = 1

100 ÷ 5 = 20

So, our reduced fraction is [tex]\frac{1}{20}[/tex]

Answer:

9. 64

10. 21

11. A (I believe)

Step-by-step explanation:

The first two were simple math problems, however 11. was a bit more complicated and I used logic to find the numbers that best fit into the problem. I am not sure that it is the right answer and if I were you I would wait for someone else to answer this question.

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In this question some information is missing that's why we explain "operating expenses".  

The Operating costs are paid in the business transactions and include property taxes, materials, stock costs, marketing, salary, health coverage, and R&D investments.

Answer:

WXYZ can not be a rectangle because consecutive sides are not perpendicular to each other.

Step-by-step explanation:

The given vertices are W(-4,3), X(1,5), Y(3,1) and Z(-2,-1).

Plot these points on coordinate plane and draw the quadrilateral as shown below.

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using this formula, we get

[tex]m_{WX}=\dfrac{5-3}{1-(-4)}=\dfrac{2}{5}[/tex]

[tex]m_{XY}=\dfrac{1-5}{3-1}=\dfrac{-4}{2}=-2[/tex]

Now,

[tex]m_{WX}\times =\dfrac{2}{5}\times (-2)=-\dfrac{4}{5}\neq -1[/tex]

Here, WX and XY are two consecutive sides of quadrilateral but the product of their slopes is not equal to -1. It means they are not perpendicular to each other.

Since, all interior angles of a rectangle are right angles, therefore, WXYZ can not be a rectangle.

Answer:

not sure

Step-by-step explanation:

Answer:

answer B

Step-by-step explanation:

to set up whisker plots you have to find the 1st 2nd and 3rd quartile.

hopes this helps

Choice A: [tex]2,2, \sqrt{4}[/tex]

Choice B: 9, 40, 41

Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]

Answer:

(B)9, 40, 41

Step-by-step explanation:

To check if the sides form a right triangle, you check to see if they satisfy the Pythagorean theorem.

[tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

Note that the longest side length is always the hypotenuse.

Choice A: [tex]2,2, \sqrt{4}[/tex]

Now, [tex]\sqrt{4}=2[/tex]

Therefore:

[tex]2^2\neq 2^2+2^2\\4 \neq 8[/tex]

These side lengths form an equilateral triangle. They do not satisfy the theorem.

Choice B: 9, 40, 41

The longest side length is 41.

[tex]41^2=1681[/tex]

[tex]40^2+9^2=1681[/tex]

Therefore:

[tex]41^2=40^2+9^2[/tex]

These side lengths form a right triangle.

Choice C: [tex]\sqrt{5}, 10$ and \sqrt{125}[/tex]

[tex]\sqrt{5} \approx 2.24 \\ \sqrt{125}\approx11.18[/tex]

Therefore, the longest side length is [tex]\sqrt{125}[/tex]

[tex](\sqrt{125})^2=125\\(\sqrt{5})^2+10^2=5+100=105\\\\(\sqrt{125})^2 \neq (\sqrt{5})^2+10^2[/tex]

These side lengths do not form a right triangle.

Answer:

4.42

Step-by-step explanation:

Angles A and C are identical because the two circles are similar.

The arc length formula is s = rФ, where r is the radius and Ф is the central angle.

If we know s and r, then the central angle Ф is s/r, or, in this case,

Ф = 8.84/5.

Now let's find the length of the arc EF:  s = rФ becomes:

s = (2.5)(8.84/5) = 4.42

Answer:

116.4 Square Inches

Step-by-step explanation:

Base Area of the Triangular Pyramid

[tex]=\dfrac12 \times 8 \times 6.9\\\\=27.6$ square inches[/tex]

Surface Area of the three sides

[tex]=3 \times \dfrac12 \times 8 \times 7.4\\\\=88.8$ square inches[/tex]

Therefore, the area of wood needed to build the clock

=27.6+88.8

=116.4 Square Inches

Answer:

C

Step-by-step explanation:

I hope it helps

Answer:

Step-by-step explanation:

Formula for finding a quadratic equation when its roots are given is

x² - ( sum of roots)x + product of roots=0

The roots are

- 1 + i

- 1 - i

Sum of roots is = - 1 + i - 1 - i = -2

Product of roots is = ( -1 + i)(- 1 - i)

= 1 + 1 = 2

So the quadratic equation is

x² - (-2)x + 2 = 0

Hope this helps you

Answer:

x^2+2x+2

Step-by-step explanation:

to find b in the equation :

b^2<4ac when having two complex roots

the required equation is x2 - Sx + P = 0

the sum of the roots :-1-i+-1-i=-2

the product=2

so the equation: x^2-(-2)x+2

x^2+2x+2

Answer:

[tex]128m^{2}[/tex]

Step-by-step explanation:

[tex]A=\frac{1}{2} (\frac{b}{h} )\\A=\frac{1}{2} (\frac{8}{8} )\\A=\frac{1}{2} (64)\\A= 32 m^{2} \\[/tex]

So, the area of 1 triangle is 32m^2.

To find the whole area, you will have to multiply 32 by 4.

Hence, your answer is [tex]128m^{2}[/tex]

Answer:

²²⁵/₂  servings or 112 ¹/₂ servings

Step-by-step explanation:

assuming that Jennifer will serve ²/₃ of a pound of ice cream per serving, then the maximum amount of servings that she can make = total pounds of ice cream / individual serving of ice cream

= 75 pounds / (²/₃ pound)

= (75 pounds x 3) / 2 pounds

= ²²⁵/₂  servings or 112 ¹/₂ servings

Answer:

Step-by-step explanation:

To find the additive inverse of polynomial expression, flip the sign of each term.

6x² ----> -6x²

-x ----->  +x

-2 -----> +2

Additive inverse:

-6x² + x + 2

Answer:

The answer is d

Step-by-step explanation:

0.09

Answer:

[tex]\boxed{\sf D. \ 0.09}[/tex]

Step-by-step explanation:

[tex]\sf y = 0.3^x[/tex]

[tex]\sf Plug \ x \ as \ 2.[/tex]

[tex]\sf y = 0.3^2[/tex]

[tex]\sf y =( \frac{3}{10} )^2[/tex]

[tex]\sf y =\frac{3^2 }{10^2 }[/tex]

[tex]\sf y =\frac{9}{100 }[/tex]

[tex]\sf y =0.09[/tex]

Answer:

(-1,-1), (2,1), (5,3)

Step-by-step explanation:

We can use the formula: rise/run to solve x and y. Since we know the slope is 2/3, 2 will be rise (going up on y axis), and 3 will be run (moving right on x axis).

We are given the point, (2,1) which we can use to find the 2 points that are needed. By using rise/run, we can find the highest point which is (5,3)

How to get the highest point:

(2 + 3, 1 + 2)

Now we can find the lowest point: (-1,-1)

(2 - 3, 1 - 2)