Find the mode.19, 1, 17, 19, 3, 20, 5, 2

Answer:200 %

Step-by-step explanation:

From 1980 to 1990 population increased by 100%

Let us Say initial population be x

therefore 100 % increase means it increases to 2x

From 1990 to 2000 population increased by 50%

i.e.[tex]2x \times 1.5=3x[/tex]

Total increase from 1980 to 2000

[tex]\frac{3x-x}{x}\times 100=200\%[/tex]

Did you distribute the negative 1 across the second term?

8x^2-1+2x^3-7x^3+3x^2-1

The answer should be -5x^3 + 11x^2

Final answer:

To find the number of non-guppies in the aquarium, subtract the number of guppies (7) from the total number of fish (13), which equals 6 non-guppy fish.

Explanation:

The student's question requires basic arithmetic to solve a subtraction problem within a real-world context of counting fish in an aquarium. Given that there are 13 fish in an aquarium and 7 are guppies, we need to find the number of non-guppies. The total number of non-guppies can be found by subtracting the number of guppies from the total number of fish.

Let's perform the calculation:

Total number of fish in the aquarium = 13

Number of guppy fish = 7

Subtract the number of guppy fish from the total number of fish to find the number of non-guppy fish. 13 (total number of fish) - 7 (number of guppies) = 6

Therefore, there are 6 non-guppie fish in the aquarium.

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

[tex]21x-18x+28xy[/tex]

The factors of each term are

[tex]21x=3\times 7\times x[/tex]

[tex]18x=3\times 6\times x[/tex]

[tex]28xy=2\times 2\times 7\times x\times y[/tex]

The common factor is x.

[tex]G.C.F.=x[/tex]

Therefore correct option is C.

Answer:  The correct option is (B) [tex]x\leq 5.[/tex]

Step-by-step explanation:  Given that Kylie has $70 to spend on clothes. She wants to buy a pair of jeans for $30 and spend the rest on t-shirts where each t-shirt costs $8.

We are to select the inequality that represents the number of t-shirts she can purchase.

Let x denote the number of t-shirts that she can buy.

Then, according to the given information, we have

[tex]30+x\times 8\leq 70\\\\\Rightarrow 30+8x\leq 70\\\\\Rightarrow 8x\leq 70-30\\\\\Rightarrow 8x\leq 40\\\\\Rightarrow x\leq \dfrac{40}{8}\\\\\Rightarrow x\leq5.[/tex]

Thus, the required inequality that represents the number of t-shirts she can purchase is [tex]x\leq 5.[/tex]

Option (B) is CORRECT.

0.0703 written in scientific notation is 7.03 × [tex]10^{-2[/tex], representing the original number more compactly with the mantissa (7.03) and exponent (-2).

To express 0.0703 in scientific notation, we first need to move the decimal point to the right until only one digit is to its left. Count the number of places you moved the decimal point, which gives us the exponent of 10. In this case, we move the decimal point three places to the right to obtain 7.03. Thus, we have 7.03 × [tex]10^{-2[/tex]. Since we moved the decimal point three places to the right, the exponent of 10 is -3.

Therefore, 0.0703 in scientific notation is 7.03 × [tex]10^{-2[/tex]. This notation represents the original number in a more compact form, where the mantissa (7.03) indicates the significant digits and the exponent (-2) denotes the power of 10 by which the mantissa is multiplied.

Ans

Step-by-step explanation:

The weekly cost as a function of the unit price x can be calculated by subtracting the revenue from the total cost. The revenue is given by the demand equation q = -40x + 800, and the total cost is the sum of the fixed cost and the variable cost. Therefore, the weekly cost as a function of the unit price x is -160x + 3600.

The weekly cost as a function of the unit price x can be calculated by subtracting the revenue from the total cost.

Revenue is given by the demand equation q = -40x + 800, where q is the number of shirts sold at price x.

Total cost is the sum of the fixed cost and the variable cost. The fixed cost is $400 per week for use of the facilities, and the variable cost is $4 per shirt.

Therefore, the weekly cost as a function of the unit price x is given by:

Cost(x) = 400 + 4q = 400 + 4(-40x + 800) = 400 - 160x + 3200 = -160x + 3600

So, the weekly cost as a function of the unit price x is -160x + 3600.

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24.99 rounded to the nearest tenth is 25.0.

To round 24.99 to the nearest tenth, we need to look at the digit in the hundredths place. The number 24.99 has a 9 in the tenths place and a 9 in the hundredths place.

Since the hundredths place in 24.99 is 9 (which is higher than 5), we round up the tenths place from 9 to the next whole number which is 10, and it causes the digit in the ones place to increase by 1.

Therefore, 24.99 rounded to the nearest tenth is 25.0.

To find a solution to the linear equation y=7x-3, select a value for x, substitute it into the equation, and solve for y. The resulting ordered pair (x, y) is a solution. For instance, (1, 4) is a solution when x=1.

The question is asking for the solution to the linear equation y=7x-3. To find an ordered pair that satisfies this equation, we need to choose a value for x and then calculate the corresponding value of y using the equation. For example, if we choose x=1, we then substitute it into the equation to get y=7(1)-3, which simplifies to y=4. Therefore, the ordered pair (1, 4) is a solution to the equation y=7x-3.

In general, to find more solutions, we could select different values of x and calculate y each time. All the resulting ordered pairs would be solutions to the given equation and would lie on the line represented by this equation when plotted on a graph.

The probability of choosing one red bulb and then one yellow bulb from 27 bulbs (11 red, 9 yellow, and 7 purple) is calculated by multiplying the chance of picking a red bulb first and a yellow bulb second. This results in approximately 1 in 7.1, or roughly 0.14.

The question you are asking is about finding the probability that one bulb is red and one is yellow out of a total of 27 bulbs, with a distribution of 11 red, 9 yellow, and 7 purple bulbs. To calculate this probability, we use the following steps:

Using the multiplication rule of probability, we get:

P(Red then Yellow) = (11/27) × (9/26)  = 99/702 = 1/7.1 (approximately).

So the probability that one bulb is red and one is yellow is about 1 in 7.1, or approximately 0.14.

To find the similarity ratio of ΔABC to ΔXYZ, compare the corresponding sides of the triangles. The ratio will be one of the named proportions based on the specific measurements of the triangles, which are not provided in the question.

The question pertains to finding the similarity ratio of two similar triangles. The similarity ratio of triangles is the ratio of any two corresponding lengths in the triangles. This question specifically asks for the ratio of triangle ΔABC to triangle ΔXYZ. Without the specific lengths provided, a general solution is to compare the corresponding sides of the triangles. For instance, if the length of side AB in ΔABC is twice the length of side XY in ΔXYZ, then the similarity ratio would be 2:1. If it was the other way around, the ratio would be 1:2. Similarly, if AB was three halves the length of XY, the ratio would be 3:2, and if AB was two thirds the length of XY, the ratio would be 2:3. The correct ratio would be one of the options given based on the specific lengths provided in the problem, which are not included in the question as stated.

Final answer:

Without specific side lengths, it's impossible to provide the similarity ratio of ΔABC to ΔXYZ. Additional measures of corresponding sides are needed for such a calculation.

Explanation:

To determine the similarity ratio of two similar triangles, you need to compare the lengths of corresponding sides. However, in the provided question, no specific measurements for the triangles are given, so it is not possible to calculate the exact similarity ratio of ΔABC to ΔXYZ. We would need additional information, such as the lengths of corresponding sides from both triangles, to be able to determine the correct ratio.

The process would involve dividing the length of a side from ΔABC by the length of the corresponding side from ΔXYZ. For instance, if side AB of ΔABC measures 6 cm and the corresponding side XY of ΔXYZ measures 3 cm, then the similarity ratio is 6:3 or simplified as 2:1.

Answer:

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Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Final answer:

The original price of the item was $60, and after a 70% reduction, the new price is $18.

Explanation:

The original price of an item was $60. After being reduced by 70%, we need to calculate what the new price will be. We can calculate the amount of discount by multiplying 70% with the original price, which is $60.

To find the discount amount: $60 × 0.70 = $42

Now, subtract the discount amount from the original price to find the new price: $60 - $42 = $18.

Therefore, after a 70% reduction, the new price of the item is $18.

Final answer:

To round 0.9998 to three decimal places, consider the fourth decimal digit (8). Since it's 5 or higher, the third decimal digit (9) rounds up, resulting in 1.000 after taking the carry-over into account.

Explanation:

To round the number 0.9998 to three decimal places, you need to look at the fourth decimal place to decide whether to round up the third decimal place. The fourth decimal place is 8, which is 5 or more, so we round up the third decimal place from 9 to 10. However, since the third place is already at the maximum digit (9), this causes a carry-over, changing the number to 1.000. But, rounding to three decimal places means you want three digits after the decimal point, so the rounded number is 1.000. Rounding introduces a small amount of imprecision, determined by the digits you're eliminating or adjusting. However, in this situation, it's clear that the number essentially rounds up to one.

The player needs to score at least 3 consecutive goals to raise his shots-on-goal percentage to at least 20%.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's first calculate how many total shots-on-goal the player has attempted so far:

Total shots-on-goal attempted = 24

Total goals scored = 3

Shots-on-goal percentage.

= (Total goals scored / Total shots-on-goal attempted) x 100%

Shots-on-goal percentage = (3 / 24) x 100% = 12.5%

Now, let's assume that the player scores x consecutive goals in his next x consecutive shots-on-goal.

Therefore, his new total goals scored will be:

New total goals scored = 3 + x

His new shots-on-goal percentage will be at least 20%:

New shots-on-goal percentage.

= (New total goals scored / New total shots-on-goal attempted) x 100%

≥20%

Substituting the values, we get:

(New total goals scored / (24 + x)) x 100% ≥ 20%

Simplifying and solving for x:

(New total goals scored / (24 + x)) ≥ 0.2

New total goals scored ≥ 0.2 (24 + x)

3 + x ≥ 4.8 + 0.2x

0.8x ≥ 1.8

x ≥ 2.25

Therefore,

The player needs to score at least 3 consecutive goals to raise his shots-on-goal percentage to at least 20%.

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