You select two cards from a standard deck of 52 cards, one after the other. What is the probability that you select and ace then a king? A. 1/13
B. 4/663
C 2/13
D 1/169

Answers

Answer 1

Answer: it would be 1/169 because it is not very likley

Answer 2

Answer: It would be 2/13 because imagine being given 4 decks of 13 cards and you have. Higher chance of having one to two of an ace or king in the deck compared to pulling none to all four. So 2/13 due to the ratio of 13

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Find the discount on a leather recliner with a regular price of $260 if the recliner is 30% off. What is the sale price of the recliner?The discount on the leather recliner is
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0.00000000005 in scientific notation

Write an equation of a line that passes through (-3,1), perpendicular to Y=-3x-3

Answers

Answer:

Step-by-step explanation:

To be perpendicular, the product of the slope is -1.
(x,y) Substituting the coordinates.
y= 1/3(x+3) + 1
y= 1/3x +2

Answer:

your answer is correct

Step-by-step explanation:

the first one is the correct answer

A researcher calls 1,800 randomly chosen residential telephone numbers, and then asks to speak with an adult member of the household. The researcher asks, “How many 3D movies have you watched in a movie theater in the past 12 months?”4. What source of bias is likely for the question asked?

Answers

The bis which is likely for the given question by the researcher is response bias.

Given that,

A researcher calls 1,800 randomly chosen residential telephone numbers, and then asks to speak with an adult member of the household.

The researcher asks, “How many 3D movies have you watched in a movie theater in the past 12 months?”.

Response bias happens when the people who needs to respond does this in an inaccurate way or wrongly.

Here almost no people will be correctly remembering the exact number of movies they watched in a year.

Also, they may be volatile to social desirability and may say less or more number of movies.

So there happens a response bias.

Hence the correct bias is response bias.

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Rita earns $18.00 per hr. If she gets a 6% raise, what will be her new hourly wage?

Answers

Answer:

19.06

Step-by-step explanation:

Take her wage and multiply by the percent increase

18*.06 =1.08

Add this to her original wage

18+1.06

19.06 is the new wage

Order of operation and mathematical con vent ion

Answers

PEMDAS - Parenthesis, exponent, multiply, divide, add, subtract

Final answer:

In mathematics, the order of operations and mathematical conventions are vital to ensure the correct solution of equations. This includes principles like scientific notation for handling large or small numbers, and dimensional analysis for ensuring the validity of equations involving different units of measurement.

Explanation:

The order of operations and mathematical convention are fundamental in accurately solving mathematical equations or expressions. This involves following certain rules, such as the use of scientific notation or the principles of dimensional analysis, to ensure equations and operations are performed correctly and yield valid results.

Take for example scientific notation, used for expressing very large or small numbers. When multiplying two numbers expressed in scientific notation, the process is simplified: you multiply coefficients and add exponents. E.g., (3 × 105) × (2 × 109) = 6 × 1014.

Alternatively, dimensional analysis is a technique used to check the validity of equations involving mathematical operation on quantities. It works on the premise that the units of these quantities have to undergo the same mathematical operations as their numbers. This ensures consistency and coherence of dimensions and units in the expression or equation, preventing impossible situations such as adding length to time.

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John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get?

Answers

Answer:

29 miles were used per gallon

Step-by-step explanation:

257 / 9 = 28.555..

We can round 28.555 to about 29.

So John got 29 miles per gallon.

The spread of a disease can be modeled as n=200 Square root t, where n is the number of infected,and t is the time(in days). How long will take until the number of infected people reaches 1400

Answers

Answer:

49 days

Step-by-step explanation:

The spread of the disease is modeled as

$n = 200 √(t)$

where n = number of infected people

t = time (in days)

When the number of infected people is 1400, the number of days t will be:

$1400 = 200√(t)\n \n1400 / 200 = √(t)\n\n7 = √(t)\n\n=> t = 7^2 = 49$

It will take 49 days for the number of infected people to reach 1400.

Final answer:

Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.

Explanation:

To find out how long it will take until the number of infected people reaches 1400, we are going to set n = 1400 (number of infected people) in the given equation, and then solve for t (time in days).

So, 1400 = 200 √t. Dividing both sides by 200, we get √t = 7. Then, squaring both sides give us t = 49 days. So, it will take 49 days for the number of infected people to reach 1400.

Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.