15 > 2р — 1 — бр


Solve each inequality

Let's denote the time it took Juan Pablo to drive from home to college as "t1" and the time it took him to drive back from college to home as "t2". We know that the average speed is equal to the total distance divided by the time taken.

The distance from home to college is the same as the distance from college to home, so we can denote it as "d".  Using the formula: Speed = Distance / Time, we can write the equations: 59.6 = d / t1     (Equation 1) 67.2 = d / t2     (Equation 2) We are also given that the total round trip took 10 hours, so we have the equation: t1 + t2 = 10     (Equation 3) To solve these equations, we can rearrange Equation 1 and Equation 2 to solve for "d" in terms of "t1" and "t2": d = 59.6 * t1     (Equation 4) d = 67.2 * t2     (Equation 5) Now, substituting Equation 4 and Equation 5 into Equation 3, we get: 59.6 * t1 + 67.2 * t2 = 10 Solving this equation will give us the values of t1 and t2. However, we need additional information to find a unique solution for t1 and t2.

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Answer:

Step-by-step explanation:

The total revenue from ticket sales is:

300 x £5 = £1500

The profit is the revenue minus the cost of the prize:

Profit = £1500 - £400 = £1100

Charity A receives 55% of the profit:

55% of £1100 = £605

Charity B receives 45% of the profit:

45% of £1100 = £495

Therefore, Charity A receives £605 and Charity B receives £495.

If she had 1 more quarter, the average value would be twenty one cents. There will be 0 dimes in her purse

                                             

Let p, n ,d and q be the number of pennies, nickels, dimes and quarters.

(p + 5n + 10d +25q)/(p+ n + d +q) = 20      

Adding 1 more quarter makes the average 21, so:

[p+5n+10d+25 (q+1)]/[p+n+d+q+1] = 21                                                                                    

The mean would not change even if the new coin cost $20 cents. The new number of coins must be $5 since the extra $5 raises the mean by $1. There were $4 coins, which were worth a total of $4 times 20 cents, or 80 cents.

We get to the same conclusion as in the previous solution: $25+25+25+5 is the only combination of $4 coins that will yield $80 cents. Having three quarters, one nickel, and no dimes results in a boxed math (A) score of 0. $

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The coefficient of determination (r-squared) provides an indication of how well the regression model fits the data and the value of r is  0.3574

In this example, the r-squared value is 12.78%, which means that 12.78% of the variation in verbal SAT scores can be explained by the variation in math SAT scores. The least squares regression equation is yhat = 383.3 + 0.3489x, where yhat is the predicted verbal score and x is the math score.

The coefficient of correlation (r) provides a measure of the strength of the linear relationship between two variables. In this example, the coefficient of correlation (r) can be calculated from the coefficient of determination (r-squared) as follows: r = √r-squared = √12.78% = 0.3574. This indicates that there is a weak linear relationship between verbal and math SAT scores.

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The z-score for x = 30.2 is approximately -0.49.

What is z-score measures?

The z-score, also known as the standard score, is a measure used in statistics to quantify the number of standard deviations that a given data point is from the mean of a dataset.

To calculate the z-score for x = 30.2, we use the formula:

z = (x - μ) / σ

where x is the observed value, μ is the population mean, and σ is the population standard deviation. In this case, we are given the sample mean and sample standard deviation, so we will use them as estimates for the population parameters.

Substituting the given values, we have:

z = (30.2 - 33.7) / 7.2

Simplifying, we get:

z = -0.49

Rounding to two decimal places, we have:

z ≈ -0.49

Therefore, the z-score for x = 30.2 is approximately -0.49.

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Answer:

U' (5, 1 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

U (5, - 1 ) → U' (5, - (- 1) ) → U' (5, 1 )

Answer:

the answer is 1-x5

Step-by-step explanation:

10x5 6x7+92 j0ll

There are 324 different dessert menus possible for the week, considering the restriction that there must be cake on Friday and no dessert can be repeated two days in a row.

To determine the number of different dessert menus for the week, we can approach the problem systematically.

Since there are four options for dessert each day (cake, pie, ice cream, or pudding), and the same dessert may not be served two days in a row, we need to consider the dessert choices for each day of the week.

Let's start with the restriction that there must be cake on Friday due to a birthday. We have three options for dessert on the other six days (excluding Friday) because we cannot repeat the dessert from the previous day.

To count the number of dessert menus, we can consider the choices for each day of the week starting from Sunday:

1. Sunday: There are four options for dessert since no dessert has been served yet.

2. Monday: There are three options left since we cannot repeat Sunday's dessert.

3. Tuesday: There are three options available, excluding Monday's dessert.

4. Wednesday: There are three options remaining, excluding Tuesday's dessert.

5. Thursday: There are three options available, excluding Wednesday's dessert.

6. Friday: There must be cake, so only one option is available.

To find the total number of dessert menus, we multiply the number of options for each day:

4 options × 3 options × 3 options × 3 options × 3 options × 1 option = 324 dessert menus

Therefore, there are 324 different dessert menus possible for the week, considering the restriction that there must be cake on Friday and no dessert can be repeated two days in a row.

Each dessert menu represents a unique combination of desserts for each day of the week, satisfying the given conditions.

In conclusion, the dessert chef has 324 different dessert menu options for the week, ensuring a variety of desserts and fulfilling the requirement of having cake on Friday.

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Answer:

Rewrite the expression using the negative exponent rule b−n=1bn b - n = 1 b n . 1y98 1 y 9 8.

Step-by-step explanation:

Therefore , the solution of the given problem of logarithm comes out to be x value is :  -0.5215.

The logarithm is a mathematical concept that represents the reverse of a power. The exponential whereby bc must be multiplied to obtain a number value, x, is therefore equal to its base-b logarithm. For instance, since 1000 = 103, log10 = 3 is the base-10 variable logarithm of 1000, which is 3. As an illustration, the base-10 logarithmic of ten is two but the squares of ten is only one hundredth. Log 100 = 2. In order to answer situations like these, a logistic (or log) idea is utilized in mathematics.

Here,

Given :

Expression of e is

=> e¹⁻⁴ˣ = 1219

Applying log both side

=> log  e¹⁻⁴ˣ = log1219

=> (1-4x) loge = log1219

=> 1-4x = 3.086

=> 1 -3.086 = 4x

=-> -2.086 = 4x

=> x = -2.086/4

=>  x = -0.5215

Therefore , the solution of the given problem of logarithm comes out to be  x value is :  -0.5215.

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According to Pythagorean theorem, the length of BE is 2√(61) units.

To solve this problem, we need to use the Pythagorean Theorem, which tells us that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, we can see that triangle ABE is a right triangle, with AB as the hypotenuse and BE and AE as the other two sides. Therefore, we can use the Pythagorean Theorem to find the length of BE.

To do this, we first need to find the length of AE. Since triangle ADE is a right triangle with a hypotenuse of length 4 and one leg of length 2, we can use the Pythagorean Theorem to find the length of the other leg, which is AE. Specifically, we have:

AE² + 2² = 4² AE² + 4 = 16 AE² = 12 AE = √(12) = 2√(3)

Now we can use the Pythagorean Theorem again to find the length of BE. Specifically, we have:

BE² + (2√(3))² = AB² BE² + 12 = (2AB)²

[since AB = AC = CD = DE = 4]

BE² + 12 = 16² BE² + 12 = 256 BE² = 244 BE = √(244) = 2√(61)

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9514 1404 393

Answer:

  (d)  112°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary.

∠P = 180° -∠R = 180° -68°

∠P = 112°

Answer:

112 degrees.

Step-by-step explanation:

This is an isosceles trapezium.

So the required angle = 180 - 68 = 112.

w = 5

Step-by-step explanation:

2+(7w)+(8w)=5

(7÷5)+(8÷5)+2

(1.4) (1.6) +2

+1.5

=3+2=5

Answer:

I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...

Step-by-step explanation:

Answer:Bones Day

Step-by-step explanation:

Answer:

15ft

Step-by-step explanation:

if she used 6ft for 10 gifts, you would multiply 6 by 2 equalling 12.

then multiply 6 by .5, 3. add 3 and 12

the answers 15 sorry i couldnt explain better but ya

pleaSe mark brainliest

The 4-digit positive integers have four different digits where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largest digit is 108.

\(5*4*3*1+4*4*3*1=60+28=108\)

Positive integers are the numbers we use to depend: 1,2, 3,4, 1 , 2, three, four, and so forth. Numbers with a fractional component not identical to zero and poor numbers are excluded from a fixed of high-quality integers. The operations of addition, subtraction, multiplication, and division can be finished with tremendous integers.

Positive integers are definitely your counting numbers. wonderful integers are in reality a part of a larger institution of numbers referred to as integers. Integers are all of the whole numbers, each advantageous and poor. by complete numbers, we imply numbers without fractions or decimals.

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We make four cases based on where the multiple of the 5 digits (0 or5) is. The number has to end with either 5 or 0 since it's a multiple of5. In all but the last case, 5 and 0 are used at the end and in another spot that separates the cases.

Case 1: The first digit can't be 0 so it must be 5. There are 4.3 to choose the middle two digits. After that, the last digit has to be 0, so there are a total of 1.4.3.1=12 numbers.

Case 2: The second digit can be 5, leaving 2 choices. The first and third numbers can be chosen in 4.3 ways, like last time. The last digit has to be 0 or 5, but not the one we already used. There are a total of 4.2.3.1=24 numbers.

Case 3: There are the same choices, but the digits 0 and 5 are at the last and second-to-last spots. So there are 4.2.3.1 =24 numbers again.

Case 4: There are 4.3.2 ways to choose the first three numbers. There has to be a 5 in the number because the largest digit is 5. Coincidentally, there are 4.2.3.1 numbers again.

There are a total of 12 + 24.3= (D)84 numbers.

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Answer:

1 - 330

Blue one  - 424

Yellow one- 181.6

Step-by-step explanation:

Answer:

16 : 3

Step-by-step explanation:

When you are trying to figure out which ratio is smaller, you can simply divide them and see.

16/13 ≈ 1.23

9/7≈1.29

1.23<1.29

Answer:

the samer ratio is 9 : 7 because nun of them cannot simplify no more

The exact value of R is 0.16 or 16% using compound interest.

To find the exact value of R, we need to use the formula for compound interest. The formula for compound interest is: A = P(1 + r/n)^(nt)Where A is the final amount, P is the principal amount, r is the nominal interest rate, n is the number of times interest is compounded per year, and t is the number of years.

We can plug in the values given in the question to find R. The interest earned during t = 0.5 to t = 1.5 is 1.0816 times the interest earned during t = 0 to t = 1.

So, we can set up an equation:1.0816(P(1 + R/4)^(4*1)) = P(1 + R/4)^(4*1.5)Simplifying the equation gives us:1.0816 = (1 + R/4)^0.5

Taking the square root of both sides gives us:1.04 = 1 + R/4Subtracting 1 from both sides and multiplying by 4 gives us:R = 0.16Therefore, the exact value of R is 0.16 or 16%.

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The total amount of clips in the box, is:

Since there are 3 blue clips, the probability of picking a blue clip, is:

Since there are 4 pink clips, the probability of picking a pink clip, is:

The probability of both events happening one after another will be the product of the individual probabilities of each event. Then, the probability of picking a blue clip and then picking a pink clip, is:

Therefore, the answer is:

Answer:

-8m + 24 - 32n

Step-by-step explanation:

(-8)(m) + (-8)(-3) + (-8)(4n) = -8m + 24 - 32n

The expected one-period return for the asset is given by the expression 0.0675 + 0.045 + 0.03 + 0.04p + 0.04, where 'p' represents an unknown probability.

The given probability distribution represents the one-period return for an asset, with corresponding probabilities assigned to each return value. To find the expected one-period return, we need to calculate the weighted average of the returns, where the weights are the probabilities.

Let's calculate the expected one-period return step by step:

1. Multiply each return value by its corresponding probability:

  0.27 * 0.25 = 0.0675

  0.18 * 0.25 = 0.045

  0.10 * 0.30 = 0.03

  p * 0.04 = 0.04p

  0.20 * 0.20 = 0.04

2. Sum up the products calculated in step 1:

  0.0675 + 0.045 + 0.03 + 0.04p + 0.04

3. Set the sum equal to the expected one-period return, denoted as E(R):

  E(R) = 0.0675 + 0.045 + 0.03 + 0.04p + 0.04

Therefore, the expected one-period return of the asset is 0.0675 + 0.045 + 0.03 + 0.04p + 0.04.

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Answer:

Baby 4

Step-by-step explanation:

This is because the baby we are finding is thin and red haired.

This takes out Baby 1 because he is heavier. This takes out Baby 2 because he has blonde hair. This takes out Baby 3 who is blonde. This takes out Baby 5 who is heavier.

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

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Answer:

(-6a+4)(3a+2)

Step-by-step explanation:

(-6a+4)(3a+2)

-18a^2+12a-12a+8 (checking answer)

-18a^2+8

The no. of subsets with at least one odd number is ²⁰C₁₀ - 1

We have the sample set to be {1, 2, 3, 4, ... 20}

Now we need to make subsets of 10 from these 20 elements.

Hence, the number of possible subsets of 10 elements will be

²⁰C₁₀

Now, there are 10 odd elements in the given sample set.

Hence the number of sets that contain at least 1 odd element

= Total no. of possible sets - no. of possible sets with no odd no.

Now since there are only 10 even numbers, there can be only one such set possible.

Hence no. of the subsets with at least one odd number is

²⁰C₁₀ - 1

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer: $206

Step-by-step explanation: 9(22)+8. 9 is the 9 tickets 22 is the cost of each ticket so they multiply to find the total cost of all tickets. and 8 from shipping and handling.

Since these are one-step equations we only have one step.

To solve, these single steps will include the following:

[1] addition (+)

[1] subtraction (-)

[2] division (/ or ÷)

[2] multiplication (* or x)

How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets"  of which we use.

[] 3x = -12

     -> -4

We have multiplication so we will divide -12 by 3 for an answer of -4

[] 14x = 280

     -> 20

We have multiplication so we will divide 280 by 14 for an answer of 20

[] x + 6 = -5

     -> -11

We have addition so we will subtract 6 from -5 for an answer of -11

[] x + 27 = 125

     -> 98

We have addition so we will subtract 27 from 125 for an answer of 98

[] x - 324 = 760

     -> 1,084

We have subtraction so we will add 324 to 760 for an answer of 1,084

[] x - 43 = 35

     -> 78

We have subtraction so we will add 43 to 35 for an answer of 78

[] x/6 = -24

     -> -144

We have division so we will multiply 6 by -24 for an answer of -144

[] x/13=214

     -> 2,782

We have division so we will multiply 13 by 214 for an answer of 2,782

[] 26 - x = 47

     -> -21

We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x

Then, we have addition so we will subtract 47 from 26 to get an answer of -21

[] -x/3=-998

     -> 2,994

First, we will move the negative to the bottom of the fraction, which looks like this: \(\frac{-x}{3} = \frac{x}{-3}\)

Then, we have division so we will multiply -3 by -998 for an answer of 2,994

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather