Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Linda buy 3 stickers and 2 erasers?

[Use the inequality 0.35x + 0.99y + 0.59 ≤ 3]

Answer:   Range should be  [ -4 , ∞ )

Step-by-step explanation:

When using interval notation, use a square bracket to indicate  ≤ or ≥ .

It also helps to be consistent -  like state the inequality notation first, then interval notation. It's less confusing when it is in the same order.

Answer: dividing the 4

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

If n means 9 then 26 is the correct answer because 9hr. - 1hr. = 8hr. x 3 = 24 rings + 2 rings = 26.

Answer:

midpoint = (3,3.5)

distance = 5

Step-by-step explanation:

midpoint = (x1+X2/2, y2+y2/2)

=(5+1/2, 5+2/2)

=(6/2, 7/2)

=(3, 3.5)

distance= √(x2-x1)^2 -(y2-y1)^2

=√(1-5)^2 -(2-5)^2

= √ 16+9 =√25 =5

(a) if 20 cards are defective, then the probability that at least 1 defective card is in the sample is 0.964​

(b) if 5 cards are defective, then the probability that at least 1 defective card appears in the sample is 0.543​

Probability:

In statistics, probability refers the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Given,

Here we have a printed circuit cards are placed in a functional test after being populated with semiconductor chips. a lot contains 190 cards, and 20 are selected without replacement for functional testing.

And we need to find the following probability.

Here we have to recall the formula for probability mass function of the hypergeometric random variable X with the parameters

N = 190

n ​= 20​

and the parameter K.

And it is the following expression:

f(x) = [(K x) (140 - k 20 - x)] / (140 20)

Now, we have to Set K=20 and calculate from the probability mass function:

=> P(X≥1)=1−f(0)=0.964​

And then Set K=5 and calculate from the probability mass function:

=> P(X≥1)=1−f(0)=0.543​

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A permutation is an arrangement of objects in a specific order, whereas a combination is a selection of objects without regard to their order.

To determine if a problem is a permutation or combination, you need to consider whether order matters.

The formula for permutations is nPr = n! / (n - r)!, where n is the total number of items and r is the number of items being chosen at a time. For example, if you had six books and wanted to know how many permutations of three books you could choose, the formula would be 6P3 = 6! / (6 - 3)! = 6 * 5 * 4 / 3 * 2 * 1 = 120.

The formula for combinations is nCr = n! / (r! * (n - r)!), where n is the total number of items and r is the number of items being chosen at a time. For example, if you had six books and wanted to know how many combinations of three books you could choose, the formula would be 6C3 = 6! / (3! * (6 - 3)!) = 6 * 5 * 4 / (3 * 2 * 1 * 3 * 2 * 1) = 20

Therefore, if the order of the objects matters, it is a permutation. If the order does not matter, it is a combination.

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Answer:

Step-by-step explanation:

B. Yes, because it passes the vertical line test, is the answer.

a) Four-digit strings with 10⁴ characters are available.

b) A string that finishes in an odd number has 10 options for the first three digits and 5 options for the last digit.

c) The fourth digit has nine alternatives.

Given,

We have to find the number of strings of four decimal digits for the following conditions;

a) Do not use the same numeral more than once.

There are 10⁴ strings with four decimal digits.

We have 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit when creating a string with 4 different digits. We deduce from the product rule that there are 10 9 8 7 = 5040 four decimal digits with no duplicate digits.

b) End with an odd digit

There are 10 choices (ranging from 0 to 1, 2,..., 9) for the first three digits of a string that ends in an odd number, and 5 possibilities (ranging from 1, 3, 5, 7,.., 9) for the last digit. According to the product rule, there are 5000 strings that terminate in an even number, or 10 × 10 × 10 × 5.

c) Have exactly three digits that are 8

There is one non-8 digit in the 4-decimal string, which includes exactly 3 digits that are 8. Therefore, there are 9 options for the fourth digit (ranging from 0 through 1, 2, 3, 4, 5, 6, and 9). The non-digit may appear in the string at positions 1, 2, 3, or 4. The sum rule leads us to the conclusion that there are 36 four decimal digits with exactly three 8s, which equals 9 + 9 + 9 + 9 = 36.

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Question is incomplete. Completed question is given below;

How many strings of four decimal digits

a) Do not contain the same digit twice

b) End with an odd digit?

c) Have exactly three digits that are 8

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a constant called the common ratio.

To identify which of the given sequences is a geometric sequence, we need to check if each term is obtained by multiplying the previous term by a constant ratio.

1. {1, 4, 16, 64, 256} - This sequence is a geometric sequence because each term is obtained by multiplying the previous term by 4, which is the common ratio.

2. {2, 4, 8, 16, 32} - This sequence is also a geometric sequence because each term is obtained by multiplying the previous term by 2, which is the common ratio.

3. {3, 7, 11, 15, 19} - This sequence is not a geometric sequence because the difference between consecutive terms is not constant.

Therefore, the main answer is that sequences 1 and 2 are geometric sequences, while sequence 3 is not.

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a. The absolute change in city employees who ride the bus to work is 2%.

b. The relative change in city employees who ride the bus to work is approximately 11%.

c. The relative change in city employees who ride the bus to work is approximately 11%.

d. The relative change of around 11% indicates an increase in the proportion of city employees riding the bus to work compared to last year.

a. The absolute change in city employees who ride the bus to work can be calculated as the difference between this year's percentage (20%) and last year's percentage (18%):

Absolute change = 20% - 18% = 2%

b. The absolute change of 2% indicates that the number of city employees riding the bus to work has increased by 2 percentage points compared to last year.

c. The relative change in city employees who ride the bus to work can be calculated as the absolute change divided by the previous year's percentage, multiplied by 100:

Relative change = (Absolute change / Previous year's percentage) * 100

Relative change = (2% / 18%) * 100 ≈ 11%

d. The relative change of approximately 11% implies that the proportion of city employees riding the bus to work has increased by around 11% compared to last year.

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Answer:

good estimate would be 529

The standard deviation of the sample proportions (i.e., the standard error of the proportion) is 10.5.

The sample proportion is a random variable that can't be predicted with certainty because it fluctuates from sample to sample.

n = 525

Population Proportion(p) = 0.3

q = 1 - 0.3

q = 0.7

σ = √npq

σ = √(525 × 0.3 × 0.7)

σ = √110.25

σ = 10.5

So The standard deviation of the sample proportions = σ/n

The standard deviation of the sample proportions = 10.5/525

The standard deviation of the sample proportions = 0.02

The standard deviation of the sample proportions = 2%

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The complete question is:

Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

a.0.0004

b.0.2100

c.0.3000

d.0.0200

Answer:

AH, BG, CK, DJ

Cuboid, pyramid, prism, tetrahedron

Step-by-step explanation:

Nets A to D have the same number of shapes as the solids H, G, K and J respectively.

Answer:

The answer is:-

Explanation:

Multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

The standard deviation is a measure of the amount of variation or dispersion in a set of data points. It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean.

When every score in a sample is multiplied by 3, it effectively changes the scale of the data. The original values are now three times larger, resulting in a larger spread of values around the mean. As a result, the variance and standard deviation will also be three times larger, since they are based on the squared differences between the data points and the mean.

Therefore, multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

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Answer:

19

Step-by-step explanation:

40-21+19

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

Answer:

323.9

Step-by-step explanation:

395/100 = 3.95 (this is each unit of the price)

3.95 x 18 = 71.1

395 - 71.1 = 323.9

The expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Therefore, the expected time for these activities is 2.8 hours.

To calculate the expected time for activities, we can use the formula for expected value.

The expected value is calculated by multiplying the time for each activity by its probability of occurrence, and then summing up these values. The formula for expected value is: Expected Value = (Time1 * Probability1) + (Time2 * Probability2) + ... + (TimeN * ProbabilityN) Here's a step-by-step example:

1. List all the activities and their corresponding times and probabilities.

2. Multiply the time for each activity by its probability.

3. Sum up the values obtained in step 2.

For example, let's say we have two activities: Activity 1: Time = 2 hours, Probability = 0.6 Activity 2: Time = 4 hours, Probability = 0.4 Using the formula, we calculate the expected time as follows: Expected Time = (2 hours * 0.6) + (4 hours * 0.4) = 1.2 hours + 1.6 hours = 2.8 hours

Therefore, the expected time for these activities is 2.8 hours.

Here full question is not provided  but the full answer given above.

Remember, this is just one example, and you can use the same formula for any number of activities with their respective times and probabilities. In summary, to calculate the expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Then, sum up these values to get the expected time.

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1. The population variances are equal;
2. The samples are independent;
3. The populations are normally distributed.

All of these choices are required conditions for ANOVA:

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The statement holds for n=k+1.

By mathematical induction, we have proven that 1·1!+2·2!+···+n·n!=(n+1)!−1 for all positive integers n.

What are integers?

Integers are a set of numbers that include whole numbers (positive, negative, or zero) as well as their opposites.

We will use mathematical induction to prove the statement.

Base case: Let n=1. Then the left-hand side of the equation is 1·1!=1 and the right-hand side is (1+1)!=2!-1=1. Therefore, the statement holds for n=1.

Induction hypothesis: Assume that the statement holds for some positive integer k, i.e., 1·1!+2·2!+···+k·k!=(k+1)!−1.

Inductive step: We need to show that the statement also holds for k+1, i.e., 1·1!+2·2!+···+(k+1)·(k+1)!=(k+2)!−1.

We have:

1·1!+2·2!+···+k·k!+(k+1)·(k+1)!=k!+1·1!+2·2!+···+k·k!+(k+1)·(k+1)!=k!+(k+1)!−1+(k+1)·(k+1)!=k!(k+1+1)+(k+2)!−1=(k+1)!(k+2)−1=(k+2)!−1,

where we have used the induction hypothesis in the second step and simplified in the fourth step.

Therefore, the statement holds for n=k+1.

By mathematical induction, we have proven that 1·1!+2·2!+···+n·n!=(n+1)!−1 for all positive integers n.

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Answer: ..

Step-by-step explanation:

Wed: 0%

Thu: 30%

Fri: 50%

Sat: 80%

Sun: 100%

I got these answers by taking 100, and subtracting the rain percentage from it. For instance, if it was a 45% to rain, and a unknown amount for it to not rain, I would take 100 and subtract 45 from it, resulting in a 55% chance of it not raining.

(a)  (1203)4 is equal to 99 in decimal and 12 in hexadecimal.

(b)  (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.

To convert numbers from different bases to decimal using the direct method, we multiply each digit of the number by the corresponding power of the base and sum the results. To convert to hexadecimal using the intermediary binary conversion method, we first convert the number to binary and then group the binary digits into groups of 4, starting from the rightmost digit, and convert each group to its hexadecimal equivalent.

(a) Converting (1203)4 to decimal:

(1203)4 = 1 * 4³ + 2 * 4² + 0 * 4¹ + 3 * 4⁰

= 64 + 32 + 0 + 3

= 99

Converting (1203)4 to hexadecimal:

First, convert (1203)4 to binary:

(1203)4 = (10010)2

Next, group the binary digits into groups of 4:

(10010)2 = (0001 0010)2

Finally, convert each group to its hexadecimal equivalent:

(0001 0010)2 = (12)16

Therefore, (1203)4 is equal to 99 in decimal and 12 in hexadecimal.

(b) Converting (5243)8 to decimal:

(5243)8 = 5 * 8³ + 2 * 8² + 4 * 8¹ + 3 * 8⁰

= 2048 + 128 + 32 + 3

= 2211

Converting (5243)8 to hexadecimal:

First, convert (5243)8 to binary:

(5243)8 = (101 010 100 011)2

Next, group the binary digits into groups of 4:

(101 010 100 011)2 = (0001 0101 0010 0011)2

Finally, convert each group to its hexadecimal equivalent:

(0001 0101 0010 0011)2 = (1523)16

Therefore, (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.

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Answer:

The answer is 2

First, we simplify it to 64^p = 4096.

Then, take the log of both sides:

p = log (4096) / log (64)

p = 2

Please mark brainliest i need 1 more

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

First we begin by setting up the equation. Tripling n and adding 10 looks like: 3n + 10. The result can be set up looking like 7n-2 since it is two less (-2) than seven times n (7n). Then we put it together in an equation:

3n+10 = 7n-2

    +2         +2

3n+12 = 7n

-3n       -3n

12 = 4n

/4    /4

3 = n or n = 3

Answer:

a) no roots not in LHP

b) 2 roots not in LHP

c) 2 roots not in the LHP

d) 2 roots not in the LHP

e) 2 roots not in LHP

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation: