what is the missing reason in the proof?

Answer:

Step-by-step explanation:

First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!

Just to show you how to solve this kind of problems:

1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2

3x ≤ - 5 - 2

3x ≤ - 7

x ≤ - [tex]\frac{7}{3}[/tex]

2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2

3x + 5 ≥ 2

3x ≥ - 3

x ≥ - 1

x ∈ ∅

Answer:

[tex]Range=14[/tex]

[tex]\sigma^2 =32.4[/tex]

[tex]\sigma = 5 .7[/tex]

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

[tex]Data: 136, 129, 141, 139, 138, 127[/tex]

Solving (a): The range

This is calculated as:

[tex]Range = Highest - Least[/tex]

Where:

[tex]Highest = 141; Least = 127[/tex]

So:

[tex]Range=141-127[/tex]

[tex]Range=14[/tex]

Solving (b): The variance

First, we calculate the mean

[tex]\bar x = \frac{1}{n} \sum x[/tex]

[tex]\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)[/tex]

[tex]\bar x = \frac{1}{6} *810[/tex]

[tex]\bar x = 135[/tex]

The variance is calculated as:

[tex]\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2[/tex]

So, we have:

[tex]\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2][/tex]

[tex]\sigma^2 =\frac{1}{5}*[162][/tex]

[tex]\sigma^2 =32.4[/tex]

Solving (c): The standard deviation

This is calculated as:

[tex]\sigma = \sqrt {\sigma^2 }[/tex]

[tex]\sigma = \sqrt {32.4}[/tex]

[tex]\sigma = 5 .7[/tex] --- approximately

Solving (d): With the stated condition, the standard deviation will remain unchanged.

2 [4( 2³ + 5)] - 4²

2 [ 4 (8 + 5)] - 16

2 [ 4 ( 13)] - 16

2 [ 52 ] - 16

104 - 16

88

Answer:

1548.09173333

Answer:

43%×64%÷3+86×18=

1548.09173333

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

answer:

[tex]{ \tt{ \cos(100x) + \frac{4}{3} = 0}} \\ { \tt{ \cos(100x) = - \frac{4}{3} }} \\ { \tt{100x = { \cos }^{ - 1} ( - \frac{4}{3} )}} \\ { \tt{invalid \: answer}}[/tex]

Answer:

x = 2

Step-by-step explanation:

[tex]\frac{24}{4x} = 3[/tex]

24 = 3*4x

24 = 12x

24 / 12 = x

2 = x

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

Step-by-step explanation:

I know A is one because positives and negitives are oppisite but i dont know if there are more

Answer:

1/2

Step-by-step explanation:

These two triangles are similar, so there is a scale factor. The heights and the bottom sides of each triangle are similar, figure A has a bottom length of 6, and figure B has a bottom length of 3. To get from A to B, you multiply by 1/2. So the scale factor is 1/2.

Answer:

The sum of Ade and Shola is 325. Shola is 25 years older than Ade. Find their present ages.

Step-by-step explanation:

Let x be the present age of Ade

Let y be present age of Shola

x + y = 325 means that the sum of their age is 325

y = x + 25 means that the Shola is 25 years older than Ade

Problem statement

The sum of Ade and Shola is 325. Shola is 25 years older than Ade. Find their present ages.

Answer:

The answer is 3

Step-by-step explanation:

We can say 85 because we will spin it 85 times and it can happen we will not C

Not sure at all ....

Answer:

Step-by-step explanation:

Pretend you see a right triangle here. From the lower end of the line go up 5 and you will be on the same horizontal as the upper end of the line. Go over 6 units and you close your triangle. This is a right triangle with legs 5 and 6 units long. We are looking for the hypotenuse of this triangle. Use Pythagorean's Theorem:

[tex]5^2+6^2=??^2[/tex]

25 + 36 = ??² and

61 = ??² so

?? = √61

Step-by-step explanation:

write the one digit in the square of each of the following numbers

a.13

Answer:

1

Step-by-step explanation:

S = {,10,11,12,13,14,15,16,17,18,19,}

n(s) = 10

P(a) = n(a) / n(s)

= 10 / 10

= 1 / 1

= 1

hope this helps.....

Answer:

The inequality is [tex]9\leq p\leq 15[/tex]

Step-by-step explanation:

The minimum number of players is 9 and the maximum number of players are 15.

let the number of players is p.

The inequality is given by

[tex]9\leq p\leq 15[/tex]

Answer: 46º

Step-by-step explanation:

The Triangle Sum Theorem states that all triangles’ angles add up to a total of 180º. Therefore, to find X, just set up an equation.

70+64+X=180

134+X=180

-134     -134

X=46

Hope this helps!

Answer: See explanation

Step-by-step explanation:

Let the price per pound of coffee be c

Let the price ce per pound of butter be b.

We can form an equation based on the information given and this will be:

2c + b = 11.25 ....... i

3c + 2b = 18.50 ....... ii

From equation i, b = 11.25 - 2c ..... iii

Put the value of b into equation ii.

3c + 2b = 18.50

3c + 2(11.25 - 2c) = 18.50

3c + 22.50 - 4c = 18.50

-c = 18.50 - 22.50

c = 4.00

A pound of coffee cost $4.00

Since b = 11.25 - 2c .

b = 11.25 - 2(4.00)

b = 11.25 - 8.00

b = 3.25

A pound of butter costs $3.25

Answer:

x = 3; y = 6

Step-by-step explanation:

Using elimination method:

2x + y = 12

+. (the y will cancel out)

3x - y = 3

5x = 15

therefore, x = 15

5

x = 3

substitute x in one of the equations

2(3) + y = 12

6 + y = 12

y = 12 - 6

y = 6

therefore y = 6

Answer:

√d=4×5

√d=20

square both sides

√d²=20²

the square cancels the square root

d=400

Answer: [tex]\sqrt{30}/5[/tex]

Step-by-step explanation:

You should get this answer because the simpliest form of a radical is that you shouldn't have any radical in the denominator. In order to get rid of the radical sign in the denominator, you have to multiply the numerator and the denominator with the [tex]\sqrt{5}[/tex].

Look at the image below for further explanation

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).

Typically, we would start with finding the slope of the line. However, notice how the two x-coordinates in the given points are both -3. This means that this is a vertical line, with an undefined slope.

Vertical lines have their equations organized differently: [tex]x=d[/tex] where d is the x-intercept, or the value of x when y is 0.

Because the x-coordinates in all the points a vertical lines passes through are the same, the x-intercept would therefore be -3. Plug this into the equation [tex]x=d[/tex]:

[tex]x=-3[/tex]

I hope this helps!

3 (- 15 + 4) = -45 + 12

This is the answer

Answer:

3:7 = 42.86% (hope this helps) ;)

Step-by-step explanation:

Ratios are often expressed in the form m:n or m/n. To convert a ratio into the form of a percentage, simply divide m by n and then multiply the result by 100.

Follow the following steps for converting a ratio to a percentage:

Step 1: (Rewrite as fraction)

3:7 = 37 = 0.4286

Step 2: (Multiply the fraction by 100)

0.4286 x 100% = 42.86%

Have a great day ;D

Answer:

y = 3/2x + 1

Step-by-step explanation:

y = 3/2x + b

-2 = 3/2(-2) + b

-2 = -3 + b

1 = b

Answer:

[tex]\frac{3}{25}[/tex]

Step-by-step explanation:

          [tex]12 \% = \frac{12}{100} = \frac{3}{25}[/tex]

Answer:

3/25

Step-by-step explanation:

12 %

to remove % sign divide 12 by 100

12/100

3/25

120

Step-by-step explanation:

if "1 hour is 24 muffins"

you can either use '+' or '×' to find the ans,

for example,

- 24+24+24+24+24 = 120

[formula 1]

using '+' is the longer way to solve the question

the easier way is by using '×', which will solve the question faster (with this you need to memorise the time table!^^)

- 24 × 5 = 120

[formula 2]

Both gives the same amount of ans, but only has a different way of solving it!

Answer:

-9.25

Step-by-step explanation:

-5.75 - 3.5

-9.25

[tex]\implies {\blue {\boxed {\boxed {\pink {\sf { \:- 9 \frac{1}{4} (or) \:- 9.25 }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] - 5 \frac{3}{4} - 3 \frac{1}{2} [/tex]

➺[tex] \: \frac{ - 23}{4} - \frac{7}{2} [/tex]

➺[tex] \: \frac{ - 23}{4} - \frac{7 \times 2}{2 \times 2} [/tex]

➺[tex] \: \frac{ - 23 - 14}{4} [/tex]

➺[tex] \frac{ - 37}{4} [/tex]

➺[tex] \: - 9 \frac{1}{4} [/tex]

➺[tex] \: -9.25[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

160 [tex]cm^{3}[/tex]

Step-by-step explanation:

We know it is square based, so we know that the sides are the same.

Therefore the length is also 4.

4 * 4 * 10

=160

Answer:

C: 70 x + 50 = $ 16, 850

Step-by-step explanation: