If they are drawn with replacement, what is the probability that both cards are 10s?

Answers

Answer 1

Answer: The probability that the second card is a queen should be the same as the probability that the second card is an ace, and the same as the probability that the second card is a 2 etc. There are 1313possibilities for the card number/letter, so the answer is 1/13

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The price of a coat increased by 20% in December, and then decreased by 20% three months later. If the finalprice of the coat was $144, what was the original price of the coat before December ?
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Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan's avg speed in miles/hr for the entire trip.(A) 35(B) 40(C) 45(D) 50(E) 55

Answers

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Susan drove an average speed of 30 miles per hour for the first 30 miles of a trip & then at a average speed of 60 miles/hr for the remaining 30 miles of the trip.

$Time=(Distance)/(Speed)$

Time taken by Susan in first 30 miles is

$T_1=(30)/(30)=1$

Time taken by Susan in remaining 30 miles is

$T_2=(30)/(60)=0.5$

Total distance covered by Susan is

$D=30+30=60$

Total time taken by susan to complete 60 miles trip is

$T=T_1+T_2$

$T=1+0.5=1.5$

Susan's avg speed in miles/hr for the entire trip is

$S=(60)/(1.5)=40$

The average speed of susan for entire trip is 40. Therefore the correct option is B.

To solve the problem using these steps, what are thdimensions of the rectangle he should draw?
2 units by 4 units
3 units by 2 units
4 units by 4 units
5 units by 6 units

Answers

Answer:

It’s c 4 units by 4 units

Step-by-step explanation:

Final answer:

The dimensions of the rectangle should be 2 units by 4 units.

Explanation:

The correlation coefficient between x and y is 0.0491, which is very low. This means that there is no linear relationship between x and y. Therefore, it is not possible to use the linear regression model to fit the data.

The other models that you can try are the quadratic, logarithmic, exponential, and power models. To find the best-fitting model, you can calculate the R-squared value for each model. The R-squared value is a measure of how well the model fits the data. The closer the R-squared value is to 1, the better the model fits the data.

Based on the R-squared values, the quadratic model is the best-fitting model. The quadratic model is:

y = -477.38 + 237.66 ln x

The dimensions of the rectangle that the student should draw are 2 units by 4 units.

Marge has saved $350 toward the cost of her vacation. The vacation will cost $1,750. What percent of the cost of the vacation has Marge saved?

Answers

350x5=1750
100/5=20
converts to 20%

Final answer:

Marge has saved 20% of the total cost of her vacation.

Explanation:

Marge's vacation savings can be calculated as a percentage of the total cost, using the formula: (Amount Saved / Total Cost) * 100. In this case, with a total vacation cost of $1,750 and Marge having saved $350, the calculation is ($350 / $1,750) * 100. When computed, it reveals that Marge has successfully saved 20% of the total vacation expense. This means that she has allocated a fifth of the overall cost, demonstrating a commendable financial preparation for her upcoming getaway. Such conscientious savings practices contribute to a more relaxed and enjoyable vacation experience, as Marge has set aside a significant portion of the required funds.

Learn more about Percentage Calculation here:

brainly.com/question/32197511

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Can someone show me the steps to this equation. z- 4(2/3) = 2(2/3)
it read Z minus four and 2/3 equals two and two thirds just to clear confusion that the 2 and 4 are not being multiplied by 2/3

Answers

so z-4 2/3=2 2/3
so 4 2/3=12/3+2/3=14/3
2 2/3=6/3+2/3=8/3
z-14/3=8/3
multiply both sides by 3
3z-14=8
add 14 to both sides
3z=22
divide both sides by 3
z=22/3=7 1/3

$z-4(2)/(3)=2(2)/(3)\ \ \ \ |add\ 4(2)/(3)\ to\ both\ sides\n\nz=2(2)/(3)+4(2)/(3)\n\nz=6(4)/(3)\n\n\boxed{z=7(1)/(3)}$

I neeeed helppppppp pleaseeee

Answers

Answer: 6144m^2

Step-by-step explanation:

The remainder when x^3 - 11x + 10 is divided by (x+3) isA 52
B 16
C 4
D -24

I was doing a past paper and came across this,I know one (long) way of doing this and was just wondering if anyone could show me a shorter way!!!

Answers

If you divide a polynomial $P(x)$ by a binomial $x-c$ , then the remainder is equal to $P(c)$ .

$c=-3\nR(x)=P(-3)\nR(x)=(-3)^3-11\cdot(-3)+10\nR(x)=-27+33+10\nR(x)=16$

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