What is the value of the expression? Show your work

Answer:

TRUE!

Step-by-step explanation:

1 liter (L) = 1000 milliliters (mL)

If you have 2 Liters, then you would DOUBLE the milliliters (2000)

Answer:

The median of Group A is greater than the median of Group B.

Step-by-step explanation:

Given

[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]

Required

Which of the options is true

(a) Group A complete in less time

To do this, we calculate the average of both using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Where

[tex]n = 9[/tex]

So, we have:

[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]

[tex]\bar x_A = \frac{41.9}{9}[/tex]

[tex]\bar x_A = 4.66[/tex]

[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]

[tex]\bar x_B =\frac{39.9}{9}[/tex]

[tex]\bar x_B =4.43[/tex]

The average time of Group A is higher than that of B, this means that Group A spend more time, on average.

(b) Group A has a greater median

First, we sort the given data in ascending order

[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]

The median is then calculated using:

[tex]Median = \frac{n + 1}{2}th[/tex]

This gives:

[tex]Median = \frac{9 + 1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The median is the fifth item for both groups.

So, we have:

[tex]A =4.7[/tex]

[tex]B =4.3[/tex]

4.7 is greater than 4.3

Hence, (b) is true

Since (b) is true and only one option is correct, then (c) and (d) are incorrect

Answer:

b

Step-by-step explanation:

5 marbles.

We first need to find how many marbles we have in total.

8 marbles * 5 boys = 40 marbles.

These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.

40/8 = 5

There will be 5 marbles in each heap.

Answer:

do you have an attatchment or guide i can use to answer this?

Step-by-step explanation:

Transposing a,

[tex]d + a = h \\ a = h - d[/tex]

Answer:

B

Step-by-step explanation:

1/4 + 2/3

(3+8)/12

11/12

Answer:

260 miles

Step-by-step explanation:

set up a proportion:

6.5/d = 1/40

cross-multiply:

d = 40(6.5) which equals 260 miles

Answer:

[tex]\displaystyle (-12)^{-\frac{1}{3}}[/tex]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{1}{\sqrt[3]{-12}}[/tex]

Step 2: Rewrite

Answer:

both camlps

Step-by-step explanation:

Answer:

B.) Prisoners attacked and killed SS men and guards.

Step-by-step explanation:

edge

Answer:

x=3/4

Step-by-step explanation:

Given:

f(x) = x-1

g(x) = 2x²+3

Evaluate composite functions:

f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2

g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5

Set expressions equal to each other and solve for x:

2x²+2 = 2x²-4x+5

2 = -4x+5

-3 = -4x

3/4 = x

x = 3/4

Therefore, the value of x=3/4 satisfies both composite functions

9514 1404 393

Answer:

  M R T V B K

Step-by-step explanation:

From left to right the solutions are ...

__

B: equating expressions for y

  -2x = x -3   ⇒   3 = 3x   ⇒   x = 1

R: given

  x = -2

V: filling in for y

  4x +5(2) = 10   ⇒   x = 0

T: subtracting the first from twice the second

  2(3x +y) -(-3x +2y) = 2(0) -9   ⇒   9x = -9   ⇒   x = -1

K: adding the two equations

  (2x +y) +(3x -y) = (7) +(3)   ⇒   5x = 10   ⇒   x = 2

M: equating expressions for y

  x -2 = 1/3x -6   ⇒   2/3x = -4   ⇒   x = -6

__

The solutions in order least to greatest are ...

  -6 (M), -2 (R), -1 (T), 0 (V), 1 (B), 2(K)

The passcode is MRTVBK.

_____

Additional comment

In several cases, there are variables and constants on both sides of the equal sign. The solution method is to identify the smallest variable coefficient, and add the opposite of that term. Also added at the same time is the opposite of the constant term on the other side of the equal sign. The net effect is to put the variable on one side and the constant on the other side. Then the equation is divided by the coefficient of the variable.

For example, in the first equation, -2x is the variable term with the smallest coefficient. -3 is the constant on the other side of the equation. To get from the initial expression to the next, we add 2x+3 to both sides of the equation.

Answer:

[tex]\frac{7}{9}[/tex] of a mile per hour

0.77777778 of a mile per hour

Step-by-step explanation:

[tex]\frac{y}{14} :\frac{1}{18}[/tex]

y · 18 = 1 · 14

18y = 14

18y ÷ 18 = 14 ÷ 18

[tex]y=\frac{7}{9}[/tex]

Answer: 1.28571428571

Step-by-step explanation: You divide the hours by miles

Answer:

It's C :D

Step-by-step explanation:

Answer:

[tex]Pr(Head) = \frac{2}{3}[/tex]

Step-by-step explanation:

The right parameters are:

[tex]Head = 12[/tex]

[tex]Toss = 18[/tex] (not 10)

Required

[tex]Pr(Head)[/tex]

The experimental probability of Head is:

[tex]Pr(Head) = \frac{Head}{Toss}[/tex]

This gives

[tex]Pr(Head) = \frac{12}{18}[/tex]

Simplify

[tex]Pr(Head) = \frac{2}{3}[/tex]

Answer:

78.54 inches squared

Step-by-step explanation:

A=πr^2

π·5^2

Have a good day :)

Answer:

the 1st option is false; there is no 'addition' sign

Step-by-step explanation:

Answer:

−6x^2+7x+1

Step-by-step explanation:

1)(7x+8x-4)=15x−4

2)15x-4-(6x^2+8x-5)=−6x2+7x+1

Answer: x = 10 OR x = 4.

Step-by-step explanation: If x = 10 or 4 then the last step of the equation will always be multiplying by 0 which equates to 0 as well.

if x = 10

(10-10)(10-4) -> (0)(6) -> 0 x 6 = 0

if x = 4

(4-10)(4-4) -> (-6)(0) -> -6 x 0 = 0

Answer:

[tex]x = 10 \: and \: 4[/tex]

Step-by-step explanation:

Hope it is helpful....

Answer:

B

Step-by-step explanation:

According to Order of Operations, you always do exponents first

Answer:

G

Step-by-step explanation:

it is the correct answer

Answer:

Look at the image and

H. 30%

Step-by-step explanation:

[tex]\frac{100}{y}: \frac{300}{390}[/tex]

y · 300 = 100 · 390

300y = 39000

300y ÷ 300 = 39000 ÷ 300

y = 130

130% - 100% = 30%

Answer:

[tex] 2.373737....=\frac{235}{99}[/tex]

Step-by-step explanation:

[tex] 2.373737....=2.\overline{37}[/tex]

[tex] Let\: x=2.\overline{37}...(1)[/tex]

[tex] \therefore 100x=237.\overline{37}...(2)[/tex]

Subtracting equation (1) from equation (2), we find:

[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]

[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]

[tex] \therefore 99x=235[/tex]

[tex] \therefore x=\frac{235}{99}[/tex]

[tex] \implies 2.373737....=\frac{235}{99}[/tex]

Answer:

A

Step-by-step explanation:

Answer: 3,052.08

Step-by-step explanation: 4/3 * pi * 18/2

Answer:

127

Step-by-step explanation:

see image below:)

Answer:

127

Step-by-step explanation:

4(20 + 12) – (4 - 3)

80+ 48 - 1

127

I hope this helped!

Answer:

2 1/3 and 1 1/6

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:

[tex]x + y + 90 = 180[/tex]

Subtract 90 from bot sides

[tex]x + y = 90[/tex]

Make x the subject

[tex]x = 90 - y[/tex]

Make y the subject

[tex]y = 90 - x[/tex]

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume [tex]x = 40[/tex]

We make use of: [tex]y = 90 - x[/tex]

[tex]y = 90 - 40 = 50[/tex]

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal

[tex]x + 2y = 180[/tex]

Make x the subject

[tex]x = 180 - 2y[/tex]

Make y the subject

[tex]y = \frac{180 - x}{2}[/tex]

Assume [tex]x = 40[/tex], we make use of:

[tex]y = \frac{180 - x}{2}[/tex]

[tex]y = \frac{180 - 40}{2}[/tex]

[tex]y = \frac{140}{2}[/tex]

[tex]y = 70[/tex]

Assume [tex]y = 70[/tex], we make use of:

[tex]x = 180 - 2y[/tex]

[tex]x = 180 - 2 * 70[/tex]

[tex]x = 180 - 140[/tex]

[tex]x = 40[/tex]

Answer:

The probability of rolling an even number would be [tex]\frac{1}{2}[/tex] or 50%.

Step-by-step explanation:

A standard number cube has 6 sides that features numbers 1 to 6 on each side. Since there are three even numbers (2, 4, 6) total on the sides of the number cube, that means the theoretical probability of rolling an even number would be [tex]\frac{3}{6}[/tex], which simplifies to [tex]\frac{1}{2}[/tex] or 50%.

Answer:

x = 20 units

Step-by-step explanation:

∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.

Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).

2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.

∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.

Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,

20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →

x = 20.