Ripsii went to the stylist. If her hair was 30.7 meters long, and she cut it 20.3 meters short, then what numbers of meters did the stylist cut Ripsii's hair?!

(exclamation point and grammar issues are probably mistakes.)

Answer:

0.06 and 6/100

Step-by-step explanation:

The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:

So, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.

It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.

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The number of biology textbooks sold =  156

The number of psychology textbooks sold = 95

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Let x be the number of biology textbooks sold. Then, the number of psychology textbooks sold was x - 61.

The combined total of the two types of textbooks sold was 251, so we can write an equation:

x + (x - 61) = 251

Expanding the right side:

2x - 61 = 251

Adding 61 to both sides:

2x = 312

Dividing both sides by 2:

x = 156

the number of psychology textbooks sold =  x - 61

                                                                      =  156 - 61

                                                                      =  95

So, 156 biology textbooks were sold and 95 psychology textbooks were sold.

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Answer:

150+9.5x> 500

Step-by-step explanation:

Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.

Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.

In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.

In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.

The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.

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In the hypothesis testing, the null and alternative for the claim that mean iq of statistics teachers is greater than 140, are

\(H_0 :\mu \leqslant 140\)

\(H_a : \mu > 140\)

and the alternative hypothesis is the hypothesis of this claim.

Hypothesis testing in statistics is a process where you to test the results of a survey or experiment based sample to look if you have meaningful results. It is based on hypothesis. The null hypothesis of a test always shows no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship. The null hypothesis is the fact that should be tested and the alternative is everything else.

We have mean iq of statistics teachers is greater than 140. We have to identify the hypothesis for which this claim is true. Now, the null and alternative hypothesis are defined as in this case, \(H_0 :\mu ≤ 140\)

\(H_a : \mu > 140\)

where μ --> mean iq of statistics

From above, the hypothesis which identify the claim that mean iq of statistics teachers is greater than 140 is alternative hypothesis. Hence, the required answer is alternative hypothesis.

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Mathematically, the claim can be expressed as follows:

µ > 140

where µ represents the population mean IQ score of statistics teachers.

The null hypothesis (H0) is that the population mean IQ score of statistics teachers is not greater than 140:

H0: µ ≤ 140

The alternative hypothesis (Ha) is that the population mean IQ score of statistics teachers is greater than 140:

Ha: µ > 140

Note that the claim corresponds to the alternative hypothesis, Ha.

Null hypothesis (H0): The mean daily attendance at the park is μ = people.

Alternative hypothesis (Ha): The mean daily attendance at the park is not equal to μ ≠ people.

The claim is represented by the alternative hypothesis (Ha), which states that the mean daily attendance at the park is different from the claimed value of people.

Note that the value of μ is not specified in the claim, but it is assumed to be equal to people. The null hypothesis (H0) reflects this assumption, and the alternative hypothesis (Ha) challenges it by stating that the true mean attendance may be different from this value.

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Answer:

45%

Step-by-step explanation:

divide $225 by $500

Answer: 45

Step-by-step explanation:

divide 225 with 500

Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day

What is linear function ?

A linear function is a mathematical function that can be represented by a straight line on a graph. It has the form of:

y = mx + b

where m is the slope of the line, which determines how steeply the line rises or falls, and b is the y-intercept, which is the point where the line crosses the y-axis.

According to the question:
If Daisy calls in sick, then Lisa will be the only stylist at the salon, and all customers will go to her. Let's use x to represent the number of Lisa's customers. Then the income generated by Lisa's customers can be represented by the equation:

18x = projected income

We can solve for x by dividing both sides of the equation by 18:

x = projected income / 18

Substituting the given projected income of $216, we get:

x = 216 / 18 = 12

Therefore, Lisa would need to serve 12 customers to attain the projected income if Daisy calls in sick that day.

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Answer:

The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. possible outcomes of the experiment. The counting principle can be extended to situations where you have more than 2 choices.

Step-by-step explanation:

The length of Mian in inches is 23 and the length of Udon in inches is 11

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Aria has two pet snakes, Mian and Udon. The combined length of the two snakes is 34 in and Udon is 12 inches shorter than Mian.

Let Mian be represented by M and that of Udon by U,

Therefore, according to question, establishing the equation,

M + U = 34

M - U = 12

Adding both the equations,

2M = 46

M = 23

U = 11

Hence, the length of Mian in inches is 23 and the length of Udon in inches is 11

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9514 1404 393

Answer:

  14.09 square units

Step-by-step explanation:

The desired area is the area of the full circle, multiplied by the fraction that is shaded. That fraction is the ratio of the sector central angle to the central angle for a whole circle: 42°/360°.

  A = πr²(d/360)

  A = 3.14159(6.2²)(42/360) ≈ 14.09

The area of the shaded sector is about 14.09 square units.

Answer:

353.25 miles.

Step-by-step explanation:
multiply 78.5 mph by 4.5 hours

Answer:

  They represent positive and negative numbers.

Step-by-step explanation:

The measure m<D is 26

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Given:

m<ABE = 52

<EBD = <CBD

Now,

<ABE + <EBD + <DBC = 180 (linear pair)

52 + 2<EBD = 180

2<EBD = 128

<EBD = 128/2

<EBD = 64

Now, In ΔDEB using angle sum property

<DEB + <EDB + <DBE = 180

90+ <EDB + 64=180

<EDB = 26

Hence, the measure of <D is 26 degree.

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Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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The events that correspond to each case are given as follows:

a) Exactly one odd number: OEE, EOE, EEO.

b) More odd numbers than even numbers: OOO, OOE, OEO, EOO.

c) Two or more odd numbers: OOO, OOE, OEO, EOO.

Hence the probabilities of each event are given as follows:

a) Exactly one odd number: 3/8.

b) More odd numbers than even numbers: 1/2.

c) Two or more odd numbers: 1/2.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have three trials, each with two possible outcomes, hence the total number of outcomes is given as follows:

2³ = 8.

The meaning of the letters is given as follows:

Hence, for example, the event OEE means that an odd number was taken, then an even number and then another even number.

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Answer:

A.

Step-by-step explanation:

using FIOL (first, inner, outer, last) to factor

The width of the walkway should be approximately 4.32 feet.

Let's call the width of the walkway "w". Then the width of the entire area (pool + walkway) will be:

15 + 2w (the original 15 feet of the pool plus the extra "w" feet of walkway on each side)

and the height of the entire area will be:

9 + 2w (the original 9 feet of the pool plus the extra "w" feet of walkway on each end)

So the total area of the entire area (pool + walkway) will be:

(15 + 2w) × (9 + 2w)

To find the width of the walkway that gives a total area of 567 square feet, we can set this expression equal to 567 and solve for w:

(15 + 2w) × (9 + 2w) = 567

Expanding the expression on the left side:

135 + 45w + 30w + 4w² = 567

Simplifying and rearranging:

4w² + 75w - 432 = 0

We can solve this quadratic equation using the quadratic formula:

w = (-b ± sqrt(b² - 4ac)) / 2a

where a = 4, b = 75, and c = -432. Plugging in these values, we get:

w = (-75 ± sqrt(75² - 4 × 4 × -432)) / 8

w ≈ 4.32 or w ≈ -25.07

Since we are looking for a width of a walkway, we should choose the positive solution:

w ≈ 4.32 feet

Therefore, the width of the walkway should be approximately 4.32 feet.

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Answer:

lol i dont know hopefully this hepls g o ogle said this so yea

Step-by-step explanation:

The number of milliseconds in a. year is then obtain by multiplying the number of milliseconds in a. day by the number of days in a year. We then note that the correct operation is 1000⋅60⋅60⋅24⋅365.

The probability that the cube never lands on 3 is 23.25%

Given

Number cube

Toss = 8

First we need to get the probability of landing on 3 in a single toss;

n(3) =

n total = 6

p(3) = \(\frac{1}{6}\)

First we need to get the probability of not  landing on 3 in a single toss;

Opposite probability = 1;

So: P(3) + P(3)' = 1

hence P(3)'=\(\frac{5}{6}\)

for 8 times

\(P(3)' = (\frac{5}{6})^8 \\\) = 0.2352

The probability that the cube never lands on 3 is 23.25%

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Answer:

69.89-exact

70-rounding up

Answer:

She spent $69.98

Step-by-step explanation:

49.99 + 19.99 = 69.98 because people place .99 at the end of the cost in order to try to confuse customers that they are getting a better price then they really are, this is true because since many people read left to right, they  will see the smaller number first, and they see the bigger number last, makin them believe its a better price. when at the end of a number lies a .99 it only counts as .99 not 1.00, thus this information is what helped me find my answer.

Answer:

B) part

Step-by-step explanation:

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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It will take 22 years and 3 months to get the present value of $12,000 invested at 2.3% compounded monthly to get to $20,000 (future value).

The period that it will take the present value to reach a certain future value can be determined using an online finance calculator with the following parameters for periodic compounding.

I/Y (Interest per year) = 2.3%

PV (Present Value) = $12,000

PMT (Periodic Payment) = $0

FV (Future Value) = $20,000

Results:

N = 266.773

266.73 months = 22 years and 3 months (266.73 ÷ 12)

Total Interest = $8,000.00

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Answer: C.17/2

Step-by-step explanation: because 2(1/2+3/4)+6

So first (1/2+3/4)= 5/4

Then 2(5/4)=5/2

Finally 5/2+6=17/2

==================================================

Explanation:

Let's say we had the slots A,B,C,D,E,F. Each slot represents where a flower would go.

For slot A, we have 15 different flowers to pick from.

Then slot B has 15-1 = 14 choices

C has 15-2 = 13 choices

and so on. We count our way down until we fill up slot F.

The count down looks like this: 15, 14, 13, 12, 11, 10

Multiply out those values: 15*14*13*12*11*10 = 3,603,600

If order mattered, then this represents the number of ways to select 6 flowers from a pool of 15 total.

However, order does not matter in this case. All that matters is the group overall.

For any group of 6 items, we have 6! = 6*5*4*3*2*1 = 720 different arrangements. That means the value 3,603,600 is too large exactly by a factor of 720.

We divide by 720 to get to (3,603,600)/720 = 5005 which is the final answer

It's the number of combinations where we select 6 from a pool of 15.

-------------------------------

As you can guess, you could use the nCr combination formula as an alternative route. Plug in n = 15 and r = 6 like so

\(_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{15} C _{6} = \frac{15!}{6!*(15-6)!}\\\\_{15} C _{6} = \frac{15!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10*9!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6*5*4*3*2*1}\\\\_{15} C _{6} = \frac{3,603,600}{720}\\\\_{15} C _{6} = 5005\\\\\)

In the third to last step, notice how we have the 15*14*13*12*11*10 up top and 6*5*4*3*2*1 down below.

This value 5005 can be found in Pascal's Triangle. Look in the row that has 1, 15, ... and count out 7 spaces from the left. You should arrive at 5005. However, you'll need a fairly large Pascal's Triangle to use this method.

Given:

Total number of flower cuts = 15 different flowers

Number of flowers Jeanine Baker wants to use = 6 flowers

To find:

Total number of ways 6 flowers can be chosen

Steps:

In this question, we need to find the total number of outcomes of choosing 6 random flowers from a total of 15 flowers

Let's give each flowers a letter, so there will be A, B, C, D, E, F, G, H, I, J, K, L, M, N and O.

Now let's find all the outcomes

Outcomes= ABCDEF, ABCDEG, ABCDEH, ABCDEI, ABCDEJ, ABCDEK, ABCDEL, ABCDEM, ABCDEN, ABCDEO.....

This method will take a lot of time so, i am going to use the formula

\(No.outcomes = \frac{n!}{r!(n-r)!}\)

Here n = total number of items, and r = number of items chosen

Also the '!' means factorial, or the product of all positive numbers less then or equal to the number, so n! = n * (n-1) * (n-2) ..... * 1

So, now substituting the formula

\(No.outcomes = \frac{15!}{6! * (n-r)!}\)

\(No.outcomes=\frac{15!}{6! * 9!}\)

\(No.outcomes = \frac{15*14*13*12*11*10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1*9*8*7*6*5*4*3*2*1}\)

\(No.outcomes=\frac{15*14*13*12*11*10}{6*5*4*3*2*1}\)          (cutting same numbers)

\(No.outcomes = \frac{7*13*3*11*10}{6}\)                 (simplifying)

\(No.outcomes = \frac{30030}{6}\)

\(No.outcomes=5005\)

Therefore, the total number of ways the 6 flowers can be chosen is 5005 ways

Happy to help :)

If u need help in this topic feel free to ask

How to add two positive integers:

You add the numbers like you normally would. There's no trick even though it seems like a trick question.

Example: 3+5 = 8

In that example, you can think of like starting at 3 on the number line. Then you move 5 units to the right to arrive at 8 on the number line.

-----------------------------------------------------

How to add two negative integers:

Treat the negative numbers as their positive version of themselves. Next, you add those positive counterparts like normal. The last thing you do is make the result negative.

For example,

-9 + (-12) = -21

which we can think of like this

9+12 = 21

Then we just make everything negative to get that first equation mentioned.

-----------------------------------------------------

How to add positive and negative integers:

This will depend on which has larger absolute value. In other words, which is further away from 0 on the number line.

In any event, you basically subtract the positive version of each number. Then the one furthest from 0 will determine if the result is positive or negative.

Examples:

-8 + 9 = 1

7 + (-12) = -5

In the first example, we can think of it like 9-8 = 1. I'm subtracting the two numbers 8 and 9, but doing so large - small and only focusing on the positive versions so far. Because 9 is further away from 0 compared to -8, this ultimately means the result is positive (since 9 is positive).

In the second example, we would say 12-7 = 5. Then note how -12 is farther away from 0 compared to 7. This means the negative side wins, so to speak, and the final result is negative.

Answer:

Step-by-step explanation:

When you add, multiply or subtract polynomials, the operation results in another polynomial.

When dividing polynomials, the operation may not result in another polynomial. In this case you normally end up with rational expression in the fraction form.

This operation is said not closed.

In our case this is option D.

#1

\(\\ \sf\longmapsto x^3+4x^2+2x-5+x^2+3x+1\)

\(\\ \sf\longmapsto x^3+5x^2+5x-4\)

#2

\(\\ \sf\longmapsto x^3+4x^2+2x-5-x^2-3x-1\)

\(\\ \sf\longmapsto x^3+3x^2-x-6\)

#3

\(\\ \sf\longmapsto x^3+4x^2+2x-5(x^2+3x+1)\)

#4

Option D may not be a polynomial

let's keep in mind that a whole always simplifies to 1, so if we'd like to split it in 7th, then 7/7 is a whole, if we split it in 29th, then 29/29 is a whole and so on.

\(\boxed{a}\\\\ \stackrel{\textit{to Kusi}}{\cfrac{1}{5}}~~ + ~~\stackrel{\textit{to Janet}}{\cfrac{1}{3}}\implies \cfrac{(3)1~~ + ~~(5)1}{\underset{\textit{using this LCD}}{15}}\implies \cfrac{8}{15} \\\\[-0.35em] ~\dotfill\\\\ \boxed{b}\\\\ \stackrel{whole}{\text{\LARGE 1}}-\cfrac{8}{15}\implies \stackrel{ whole }{\cfrac{15}{15}}-\cfrac{8}{15}\implies \cfrac{15-8}{15}\implies \cfrac{7}{15}\)