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belka [17]
3 years ago
8

Three coins are tossed. What is the probability that two land on heads?

Mathematics
1 answer:
mart [117]3 years ago
7 0
<span>Before you begin, you need to assume some things about the coins for this problem to be solvable.  These assumptions are natural, but they are ESSENTIAL as well, so you shouldn't make them without realizing it.

#1) You have to assume the outcomes on each coin flip are independent.  (Our understanding of the physics of coin flipping easily justifies this assumption.)  the answer is 1/2

#2) You must assume something about the probability of heads on each of the three coins.  The usual assumption is that there is a 50% chance of heads on each toss of each coin.
</span>
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Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is 5 percent, and it is costumary to l
lubasha [3.4K]

Answer:

Tax = $0.75

Tip = $2.25

Total (meal + tax + tip)= $18.00

Step-by-step explanation:

When solving for percentages of a number, such as sale tax and tip, multiplying the decimal equivalent of each percentage to the amount will give you the individual costs.  For example, in this case the sales tax is 5%, the decimal equivalent of 5% = 5 ÷ 100 = 0.05.  To find the amount of tax on Allam's meal, multiply the rate by the amount:

0.05 x $15 = $0.75

Since he plans to leave a 15% tip, we can also multiply the amount of the meal by the planned tip amount:

15 ÷ 100 = 0.15

0.15 x $15 = $2.25

Total amount paid, including tax and tip:

$15 + $0.75 + $2.25 = $18.00

6 0
3 years ago
4(5x+1)-3x help me, I need help with algebra.
cricket20 [7]

Answer:

17x+4

Step-by-step explanation:

4(5x+1)-3x

20x+4-3x

17x+4

4 0
2 years ago
Read 2 more answers
In many fast food restaurants, there is a strong correlation between a menu item's fat content (measured in grams) and its calor
Kruka [31]

Answer:

1. The slope of the least-squares regressin line is 11.364

2. The intercept of the least-squares regression line is 204.343

3. The residual corresponding to this observation is -10 calories

Step-by-step explanation:

1. In order to calculate the slope of the least-squares regressin line we would have to use the following formula:

slope of the least-squares regressin line=r*sy/sx

Therefore, slope=0.979*324.90/27.99

slope=11.364

2. In order to calculate the intercept of the least-squares regression line we would have to use the following formula:

intercept of the least-squares regression line=ybar - slope*xbar

intercept=662.88 - 11.364*40.35

intercept=204.343

3. In order to calculate the the residual corresponding to this observation we would have to use the following formula:

residual = observed y - predicted y

predicted y=11.364*x + 204.343

if the x value is 7, therefore predicted y=11.364*107 + 204.343

predicted y=1,420

Therefore, residual=1410 calories - 1420 calories

residual=-10 calories

8 0
3 years ago
9. Sophia and Lily went to Tacos Galore for lunch. Sophia ordered 3 tacos and 2 burritos and the total of her
Dimas [21]

Answer:

There is no way to know.

Step-by-step explanation:

You need to know how much either burritos cost or how much tacos cost to answer that, let your teacher know.

6 0
3 years ago
Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).
Setler79 [48]

Answer:

\Huge \boxed{3a+4}

Step-by-step explanation:

The function is given.

f(x)=3x+1

To find :  f(a+1)

The input for the function f(x) is (a + 1).

Replace x with (a + 1).

f(a+1)=3(a+1)+1

Expand brackets.

f(a+1)=3a+3+1

Simplifying.

f(a+1)=3a+4

3 0
3 years ago
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