Order the values from smallest (top) to largest (bottom) 1. 5 2/3 2. 5 1/6 3. 4 5/6 4. 4 1/2 5. 4 1/3 6. 5 6/6

Step-by-step explanation:

100% - 25% off = 75%

Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.

75/100 × X = $60

75X/100 =$60

( cross multiply)

75X=100×60

75X= 6000

X=6000÷75

X= $80

Answer:

The definition of alternate interior angles is that those two angles are the same.

Therefore because they are the same you can set them equal to eachother

3x + 24 = 78 is true

3x = 54

x = 18

Just know the definitions, for instance 3 and 4 are the same, 2 and 5 are the same, 1 and 6 are the same

To find the length of an arc intercepted by a central angle in a circle, we need to use the formula:

Arc Length = (Angle in radians) * (Radius)

In this case, the circle has a diameter of 9 meters, which means the radius is half of the diameter, so the radius is 4.5 meters.

The central angle measures radians, which we need to convert to radians. To convert a fraction to radians, we divide the numerator by the denominator and multiply by π (pi).

Radians = (7/18) * π

Now we can calculate the length of the arc:

Arc Length = (7/18) * π * 4.5

Simplifying this expression, we can calculate the approximate length of the arc.

It's important to note that the length of the arc is proportional to the measure of the central angle and the radius of the circle. The larger the central angle or the radius, the longer the arc.

In this case, the length of the arc will be determined by the specific value of the central angle in radians and the radius of the circle.

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Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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Answer:

F = 30, H = 26

Step-by-step explanation:

angle F inside the triangle = 180 - 150 = 30

so H = 180 - (124 + 30) = 26

Answer:

26 degrees

Step-by-step explanation:

So there are two ways you can go about this

Way number 1: Sum of a triangle and sum of a flat line

We can see the m<YFG=150 degrees so we know that m<GFH=30 degrees. The sum of all interior angles in a triangle is 180 degrees so then we can do 180-(124+30) to get m<FHG.

Way number 2: Exterior angle theorum

The exterior angle theorum states that an exterior angle of a triangle is congruent to the sum of two remote interior angles of the traingle. I wouldn't use this unless you learned it in class but basically m<FGH+m<GHF=150 degrees so m<GHF=150-124.

Answer: (x+4) ( x-4i)(x+4i)

Discussion:

Factor the polynomial:

x^3+4x^2+16x+64 =  (x +4 ) ( x^2 + 16)     (*)

Factor x^2 +1 6 over the complex numbers:

x^2 + 16 = (x -4i)(x+4i)                               (**)

Combing (*) and (**) gives the full factorization

(x+4) ( x-4i)(x+4i)

Answer:

37

Step-by-step explanation:

37

Answer:

x = -30

Step-by-step explanation:

-24 = 6 + x

we'll subtract 6 to get x alone:

-24 - 6 = x

-30 = x

____________

then to check, we plug it back in

-24 = 6 + (-30)

-24 = -24 true! so -30 is right :)

Answer:

-30

Step-by-step explanation:

You can backtrack to find x:

-24-6=-36

-30+6=-24

Answer:

294 days

Step-by-step explanation:

Multiply 42 x 7 and you've got 294 days, which will be your answer.

Answer:

m= -2 on the same question

Step-by-step explanation:

Answer:

d the last one 3 and -3 pls brainlist

Step-by-step explanation:

a. The possible range of values in this row is from 210 to 219, inclusive.

To see why, note that the stem value is 21, so each leaf represents a number that should be added to 21. The smallest possible value is when the leaf is 0, which gives 21 + 0 = 210. The largest possible value is when the leaf is 9, which gives 21 + 9 = 219.

b. There are 6 data values in this row.

c. The actual values in this row are 210, 211, 213, 215, 217, 219.

In statistics, a leaf is the last digit or digits of a data point in a stem-and-leaf plot. A stem-and-leaf plot is a graphical display of data that shows the distribution of values by separating each value into two parts: a stem, which consists of the leading digits of the value, and a leaf, which consists of the final digit or digits of the value. The stem values are listed in a vertical column, and the leaves are listed in a row next to the corresponding stem. This type of plot allows us to see the shape of the data and the distribution of values within it.

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Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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Answer:

The cost per ounce of the small cup is $0.269

Step-by-step explanation:

To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.

Cost per ounce = Cost of the cup ÷ Number of ounces in the cup

Cost of the cup = $2.69

Number of ounces in the cup = 10 oz

So,

Cost per ounce = $2.69 ÷ 10 oz

Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)

Therefore, the cost per ounce of the small cup is $0.269.

Answer:

7. <35

8.<5

9.>50

Step-by-step explanation:

simple mathematics

Answer:

6 / 8 or 3 / 4

Step-by-step explanation:

Subtraction lol

Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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5x+7x=660;

12x=660;

x=660:12;

x=55 (kg).

Then 5x=5×55=275 kg and 7x=7×55= 385 kg.

The required ratio is therefore

660= 275:385.

Answer:

276

Step-by-step explanation:

Given :

Standard deviation (σ) = 2.9 inches

Error margin (E) = 0.45

Confidence interval = 99%

Using the relation to obtain the sample size (n)

n = [(Zcrit * σ) / E]²

Zcritical at 99% confidence interval = 2.576

n = [(2.576 * 2.9) / 0.45]²

n = [7.4704 / 0.45]²

n = 16.600888^2

n = 275.58951

n = 276 samples

Sample size

Answer:

3 liquid gallons

Step-by-step explanation:

3 + 4 + 5 = 12

12 ÷ 4 = 3 liquid gallons

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}\)

\(A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}\)

Answer:

Robert's semi-monthly salary is $2,500. This means he earns $5,000 per month. The Medicare tax rate is 1.45%, so his employer pays 1.45% of his salary for Medicare tax. This is equal to $72.50 per month. Since he is paid semi-monthly, his employer pays $36.25 for his Medicare tax each pay period. Therefore, the answer is C. $36.

Answer:

9/10

Step-by-step explanation:

1. Find the least common denominator for the fractions

2. The lcd is 30

3. If 6 x 5 is 30 then you have to multiply 1 x 5 also

4. Multiply 5 x 6 also multiply 2 x 6

5. Multiply 3 x 10 also multiply 1 x 10

6. you get 27/30 when you add 5/30, 12/30, and 10/30.

7. Simplify 27/30 you get 9/10

Answer:

9/10

Step-by-step explanation:

Hello!

The easiest way to break this problem down is to ad up all of the parts, but to do that they need the same denominator!

our fractions are

1/6

2/5

1/3

Now we need to find a common multiple that these numbers have!

lets start with 6

6, 12, 18, 24, 30

Now 5

5, 10, 15, 20, 25, 30

Now 3

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

They all have 30 in common!

So now we convert them so their denominator is 30!

We do this by multiplying the numerator by whatever we multiplied the denominator by to get 30!

1/6 = 1x1 6x5 = 5/30

2/5 = 2x6 5x6= 12/30

1/3 = 1x10 3x10 =10/30

Now we add!

5+12+10= 27

27/30

Now we simplify this equation

27/3= 9 30/3 = 10

9/10

So she has read 9/10 of her book!

Hope this helps!^^

Random sampling is a method of selecting a sample of items from a population in which the probabilities of selecting each item are the same.

Random sampling is used to ensure that each item in the population has an equal opportunity to be selected in the sample.

In this scenario, a random sample of size 40 is needed from a population of 200 items. The random start of 4 will be used to begin the sample selection process.

To begin, a list of all the items in the population should be created. Then, a random number generator can be used to select the first item in the sample, based on the random start of 4.

The next item in the sample should be selected at random from the remaining items in the population, and so on until the desired sample of 40 items is obtained.

Random sampling is an important method for ensuring that a sample is representative of the population it is drawn from.

This method helps to eliminate bias from the sample selection process and ensures that the sample accurately reflects the characteristics of the population.

Random sampling is used in many areas of research, including surveys, data collection, and experiments.

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The complete question is: Given a population of 200 items, select A sample of size 40 using a random number 4.

x is a hypergeometric random variable, p(x=0) is 0.033.

Hypergeometric random distribution is a discrete probability distribution that describes k success in n draws without replacement from a finite population  size of N that exactly contains K objects.

Given x is a  hypergeometric random variable ,

    \(P(X=k)=\frac{KC_{k} .(N-K)C_{n-k} }{NC_{n} }\)

Here, N=10,n=3,r=6, P(x=0)

By using the above formula we get,

            =\(\frac{6C_{0} .4C_{3} }{10C_{3} }\)

            =\(\frac{4}{120}\)

 p(x=0) =0.033

Hence, P(x=0) is 0.033, where x is a hypergeometric random variable.

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