How do you know when to use the less than symbol and when to use the less than or equal to symbol when writing an inequality for a situation? ​

Step-by-step explanation:

Sol

Given that ,

mean =300

standard deviation =a =70

n=100

ux=128

a ) within 6 =300 +/-6 : 294, 306

P(294' ' 306)

: P(-0.86 : Z ' 0.86)

: P(Z ' 0.86) - P(Z ' -0.86)

Using z table,

: 0.8051-0.1949

: 0.6102

Probability : 0.6102

a ) within 18 =300 18 : 294, 318

P(294' ' 306)

: P(Z ' 2.57) - P(Z ' -2.57)

Using z table,

:0.9949-0.0051

:0.9898

Probability =0.9898

Answer:

The solution is [tex]x = 0.83[/tex]

Step-by-step explanation:

We are given the following equation:

[tex]e^{3x} = 12[/tex]

To isolate x, we apply ln, which is the inverse of the exponential. So

[tex]\ln{e^{3x}} = \ln{12}[/tex]

[tex]3x = \ln{12}[/tex]

[tex]x = \frac{\ln{12}}{3}[/tex]

Using a calculator:

[tex]x = 0.83[/tex]

The solution is [tex]x = 0.83[/tex]

Answer:

$2664.46

Step-by-step explanation:

2000(1+(0.032)/4)^(4*9)

1+0.008 = 1.008^36 = 1.33222983678... * 2000 = 2664.45967357...

≈ $2664.46

Answer:

30%

Step-by-step explanation:

A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 different blues and 7 different greens. The family decides to just randomly select a color from these. What is the probability they will pick a shade of blue? Choose the answer in percent form. Question 3 options: 50% 100% 70% 30%

First, we need to convert the probability of picking a blue shade into a fraction.

= 3/10

Since this is by 10, we need to times 0.3 (numerator) by 10 (the number of outcomes) Whatever you do to the numerator, you do to the denominator. This means that you also times 10 by 10

This gives you 30/100

Since a percentage is out of 100, you don't need to change anything, just take away the 100 and put a percentage sign.

=30%

Answer: It is 30%, and i got proof right here.

Step-by-step explanation:   I got AN (A) on my test so give the first person all those great rating he needs.

Answer: 2 dolls

Step-by-step explanation: got it right

Answer:

Angle A = 17°, Angle B = 73°

Step-by-step explanation:

Angle A & Angle B are complementary angles (given) so they will form 90°.

Let's take,

Angle A = x

Angle B = 4x +5 (angle B is five degrees more than four times angle A)

Measure of each angle=?

Angle A + Angle B = 90°

x + 4x + 5 = 90

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85 ÷ 5

x = 17°

Angle A = x = 17°

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°

•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•

Answer:

0.5

Step-by-step explanation:

so the slope is also known as the gradient in y=mx+c

Answer:

There is four boxes I answered this in order

1st box: 3

2nd Box:  7

3rd box: 15

4th box : 19

5th box ; 16

Step-by-step explanation:

This is simple

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

Answer:

Area of Grass = 6 m²

Area of Cement = 24 m²

Area of Grass and Cement Together = 30 m²

Step-by-step explanation:

Area of Grass = 3m × 2m = 6m²

Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²

Area of Grass and Cement Together = 6m² + 24m² = 30m²

Answer:

j = 11

Step-by-step explanation:

$25 - $14 = 11

Answer:

0.25

Step-by-step explanation:

-5x - 10x = -15x

-15x = -60

x = 0.25

Answer: x=-4

Step-by-step explanation:

Answer:

Answer is 51

Step-by-step explanation:

5(6) + 3(7)

30 + 21

51

Answer:

first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51

Step-by-step explanation:

5x+3y

5(6)+3(7)

30+21

51

hope this helps

Answer:

-48

Step-by-step explanation:

(-2)(-3)(-4)(-1)(-2)

(6)(-4)(-1)(-2)

(-24)(-1)(-2)

(24)(-2)

(-48)

Answer:

-11.

Step-by-step explanation:

f(x) = √(3 - 2x),   x ≤ 3/2

let y = √(3 - 2x)

y^2 = 3 - 2x

2x = 3 - y^2

x = (3 - y^2)/2

So f-1(x) = (3 - x^2)/2  

f-1(x) = (3 - 5^2) / 2 = -11.

Answer:

.....................

Step-by-step explanation:

As an economic indicator. The CPI is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy.

Answer:

C

Step-by-step explanation:

[tex]\frac{9}{9}=1[/tex]

[tex]1=\frac{20}{20}[/tex]

[tex]\frac{19}{20} <\frac{20}{20}[/tex]

[tex]\frac{13}{6}=2\frac{1}{6}[/tex]

[tex]1<2\frac{1}{6}[/tex]

Answer: HL

Step-by-step explanation:

The shared side is congruent, meaning the triangles are congruent by HL.

Answer:

2.7

Step-by-step explanation:

the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.  

Answer:

it would be the last one i meant

Step-by-step explanation:

Answer: 3rd one

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

the answer is 15. 12×15=180

Answer:

- The population in 2001 is 23.1 million

- It will reach 28.3 million in 2013

Step-by-step explanation:

Given

[tex]A =23.1e^{0.0152t}[/tex]

Solving (a): Population in 2000.

This implies that

[tex]t = 2000 - 2000[/tex]

[tex]t = 0[/tex]

So, we have:

[tex]A =23.1e^{0.0152t}[/tex]

[tex]A =23.1e^{0.0152*0}[/tex]

[tex]A =23.1e^{0}[/tex]

Solve the exponent

[tex]A =23.1*1[/tex]

[tex]A =23.1[/tex]

The population in 2001 is 23.1 million

Solving (b): When will it reach 28.3 million

This implies that:

[tex]A =28.3[/tex]

So, we have:

[tex]A =23.1e^{0.0152t}[/tex]

[tex]28.3 = 23.1e^{0.0152t}[/tex]

Divide both sides by 23.1

[tex]1.225 = e^{0.0152t}[/tex]

Take natural logarithm of both sides

[tex]ln\ 1.225 = ln(e^{0.0152t})[/tex]

Rewrite as:

[tex]ln\ 1.225 = 0.0152t\ ln(e)[/tex]

[tex]ln(e) = 1[/tex]

So:

[tex]ln\ 1.225 = 0.0152t*1[/tex]

[tex]ln\ 1.225 = 0.0152t[/tex]

Make t the subject

[tex]t = \frac{ln\ 1.225}{0.0152}[/tex]

[tex]t = \frac{0.2029}{0.0152}[/tex]

[tex]t \approx 13[/tex]

Add the value of t to 2013 to get the actual year

[tex]Year = 2000 +13[/tex]

[tex]Year = 2013[/tex]

It will reach 28.3 million in 2013

This additition is false

the true answer is 705

Its base on my understanding:)

#CarryOnLearning

#NoToCopyPaste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

y=x-5

Thatll be one brainliest

Answer:

y=3

Step-by-step explanation:

12-3(3)<6

12-9<6

3<6

This makes the expression true so y=3

Answer:

y > 2

Step-by-step explanation:

isolate the y:

=> -3y < 6 -12

=> -3y < -6

=> y > 2

       ↑ have to change the inequality sign when divide/multiply by a negative number

Answer:

C.

Step-by-step explanation:

The median is the line in the middle of the box plot.

C is the answer because 75 is the largest median out of all the choices.