Write a two-step inequality that could be represented by the number line.​

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

For more such questions on normal distribution

https://brainly.com/question/4079902

#SPJ8

Answer:

24 : 15 : 20

Step-by-step explanation:

express ratios in fractional form and express b and c in terms of a

\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )

8b = 5a ( divide both sides by 8 )

b = \(\frac{5}{8}\) a

also

\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )

3c = 4b ( divide both sides by 3 )

c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a

Then

a : b : c

= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )

= 24a : 15a : 20a ( divide each part by a )

= 24 : 15 : 20 ← in simplest form

Answer:

Step-by-step explanation:

The nth term of the sequence is

A(n) = 5n + 7

To find the (n+1)st term substitute n+1 into the general equation

That's

For (n + 1)st term

A(n+1) = 5(n+ 1) + 7

A(n+1) = 5n + 5 + 7

Hope this helps you

\( n^{\text{th}} \text{ term is } 5n+7 \)

forget n for a while.

let's call it t .

The \( t^{\text{th}} \text{ term is } 5t+7 \)

agreed? I don't think there should be a problem.

you're asked what's the \((t+1)^{\text{th}}\) term.

let's call it u . so just like we did before,

\( u^{\text{th}} \text{ term is } 5u+7 \)

but we know, \(u=t+1\)

So, \(5u+7=5(t+1)+7=5t+12\)

does that answer your question?

Answer:

Exact Form:

20/10

Decimal Form:

2.9

Mixed Number Form:

2 9/10

Step-by-step explanation:

The constant of proportionality is usually used in stuff regarding to coordinates. It basically is that values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right. Those two values are proportional because they'll continue to move at the same predictable rate. The image below is that line. It doesn't just apply to linear equations though, it can apply to other kinds, like exponential or absolute value equations.

Sorry if this wasn't super concise, as this is a really hard topic to explain just over text. However, if it did help a lot, please give me brainliest as I'm trying to rank up. Thanks!

Constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The  relationship between diameter of circle and radius of circle is d=2r

Relationship between Area of a circle vs. its diameter

Area of circle=π(d/2)²

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

The values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right.

The x and y values are proportional because they'll continue to move at the same rate.

Hence constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Learn more about monthly installment at https://brainly.com/question/3260195

#SPJ1

She uses 12 gallons of petrol to drive 420 miles, averaging 35 miles per gallon.

A number is split in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of items being distributed among a set of individuals. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The outcome of dividing one integer by another is a quotient. When dividing a number into units of a measurable quantity, this is known as quotative division. For instance, we could wish to know how many groups there will be if we divide 8 into groups of 2.

Here,

Weight of gas=12 gallon

Distance travelled=420 miles

miles did her car travel per gallon of gas,

=420/12

=35 miles/gallon

She travels 35 miles/gallon when she used 12 gallons of gas to travel 420 miles.

To know more about division,

https://brainly.com/question/28598725

#SPJ1

Answer:

1/4 gallon of yellow of paint and none of the blue paint

Step-by-step explanation:

o Quadrant IV is located in the point (2,_3)

Answer:

Quadrant IV

Step-by-step explanation:

Q I = (+,+)

Q II = (-,+)

Q III = (-,-)

Q IV = (+,-)

If I knew what the figures looked like I could help you but since I don't. I'll just explain.

A: If 2/3 is a ratio provided then AD to JM might be 4 to 6

B: If 6/5 is a ratio provided then AD to JM might be 12 to 10

C: If 3/2 is a ratio provided then AD to JM might be 6 to 4

Answer:

It is $4.29 Step-by-step explanation:

because you need to find the price of one gallon, so you just divide the numbers $36.89 by 8.6 gallons which is 4.289 and if you round it it is $4.29 per gallon / 1 gallon.

The ratio of EG = 36.

Let's assign variables to the lengths of the line segments:

EF = x

FG = 5x

GH = 3x

We know that EH = EF + FG + GH.

Substituting the given values, we have:

54 = x + 5x + 3x

Combining like terms, we get:

54 = 9x

To isolate x, we divide both sides of the equation by 9:

54/9 = x

Simplifying, we find:

6 = x

EF = 6, FG = 5(6) = 30, and GH = 3(6) = 18.

Since EG is the sum of EF and FG, we can calculate it as follows:

EG = EF + FG = 6 + 30

= 36

EG = 36.

For similar questions on ratio

https://brainly.com/question/12024093

#SPJ11

Answer:

123 degrees

Step-by-step explanation:

Answer:

123°

Step-by-step explanation:

360 - 114 - 43 - 80 = 123

In the number

36,389​

we have

3 ten-thousands

6 thousands

3 hundreds

8 tens

9 units

We have that

3 ten-thousands is 30,000

and

3 hundreds is 300

since

300 ÷ 30,000 = 1/100 = 0.01

then

the 3 in the hundreds place is 0.01 the value of the 3 in the ten thousands place.

Answer:

190 is 76% of 250

Step-by-step explanation:

We have, 76% × x = 190

Multiplying both sides by 100 and dividing both sides by 76,

we have x = 190 × 100/76

x = 250

If you are using a calculator, simply enter 190×100÷76, which will give you the answer.

Answer:

3

Step-by-step explanation:

Order of Operations: BPEMDAS

1. Brackets

2. Parenthesis

3. Exponents

4. Multiplication

5. Division

6. Addition

7. Subtraction

Left to Right

Step 1: Write expression

13 - 5[4 - 12 / 6]

Step 2: Brackets - Division

13 - 5[4 - 2]

Step 3: Brackets - Subtraction

13 - 5[2]

Step 4: Multiplication

13 - 10

Step 5: Subtraction

3

If AB = BC, then we can express the following

Then, we solve for x

Now, we find AB length

Answer: option D

Step-by-step explanation:

Given equation:

P = 6 w + 8 [eq1]

l=2w+4 [where l is length]

using eq1 we have:

6w=P-8

w=(P-8)/6

hence  option D

learn more about perimeter here:

https://brainly.com/question/28499208

#SPJ9

By making linear inequality for salaries of A and B, Total of $42857 jewelry must be sold for A to generate more income.

What exactly are linear inequalities?

Inequality is a mathematical statement in which neither side is equal. An inequality occurs when a connection produces a non-equal comparison between two expressions . The equal sign "=" in the phrase is substituted by any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). In mathematics, there are three types of inequalities: polynomial inequalities, rational inequalities, and absolute value inequalities.

The symbols '<' and '>' represent severe inequalities, whereas " ≤ and ≥ " represent slack inequalities.

Now,

For Option A Total salary = $17000+12/100*x, where x= Total sales

For option b Total salary= $20000+5/100*x, where x=Total sales

Now,

For Total salary of A > Total salary of B

$17000+12/100*x > $20000+5/100*x

12x-5x > 3,00,000

7x>300000

x>$42857

Hence,

           Total of $42857 jewelry must be sold for A to generate more income.

To know more about linear inequalities visit the link

https://brainly.com/question/11897796?referrer=searchResults

#SPJ1

In order to find the difference of two squares, each term needs to be a perfect square.

Since each variable is multiplied by a constant, both the constant and the variable needs to be a perfect square.

In order for the variable to be a perfect square, its exponent needs to be even.

In the first option, the exponents are odd.

In the third option, the number 12 is not a perfect square.

In the fourth option, we have a sum instead of a difference.

In the second option, we have:

Therefore the correct option is the second one.

The correct statement:

The slope is positive because as the age increases, the value increases.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The table:

x → y

5 →  0.75

10 → 5.75

15 →  10.75

20 → 15.75

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = 15.75 - 10.75 / 20 - 15

m = 1

Therefore, the slope is positive because as the age increases, the value increases.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Answer:

i

Step-by-step explanation:

i stands of imaginary because no real numbers are negative

Answer:

8.6

Step-by-step explanation:

omni cal.cu.lator

branliest PLEASE

Answer:

0.38

Step-by-step explanation:

7 is the 3rd digit, so 8 is greater then 5, so you round up, if it is correct, can you give brainiest

Answer:

0.40

Step-by-step explanation:

this is because the number before it is up to five and even more than 5 so we round it up by adding one to the next number and the remaining digit to zero

Answer:

Step-by-step explanation:

\((1+6i)-(7+3i) ?\\Group\:the\:real\:part\:and\:the\:imaginary\\\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(1-7\right)+\left(6-3\right)i\\1-7=-6\\6-3=3\\=-6+3i\)

Answer:

constant of proportionality

Step-by-step explanation:

Assuming that we have two proportional quantities; one is x and one is y.

If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

Answer:

1000 rounded to the nearest ten is:

1000

Step-by-step explanation:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer: The only solution to this is x = 0. Therefore, g(1) = 0 and g' (1) = g' (1) = 1/f ' (0) = 1/2.

Step-by-step explanation: Since, f(x) = 3x3 + 2x + 1, it follows that f ' (x) = 9x2 + 2.  So by the above theorem,

g' (1) = 1/f ' (g(1)) where f ' (g(1)) = 9 · g(1)2 + 2.

It remains to figure out what g(1) equals. Since g(x) = f -1 (x),  g(1) is the solution to

3x3 + 2x + 1 = 1 <----> (3x2 + 2)x = 0

Answer:

oehfinefnefikvds

Step-by-step explanation:

okokokoko