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zloy xaker [14]
3 years ago
14

Can you buy a watch that cost $45.50 tax rate is 9.5% what is the final cost

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

$49.82

Step-by-step explanation:

To find the cost of the watch with tax, multiply the price by 1.095:

45.5(1.095)

= 49.8225

Round to the nearest hundredth:

= 49.82

So, the final cost is approximately $49.82

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Use the unit circle to find the inverse function value in degrees.<br> tan^-1 sqrt 3
mr Goodwill [35]
Use the unit circle to find the inverse function value in degrees.tan^-1 sqrt 3

The correct answer would be 60 degrees. Since you are asked to find an angle that the tangent is equal to sqrt 3. The only angle that is equal to that given the interval is 60 degrees. So that is the correct answer. I hope this answer helped you. 
7 0
3 years ago
A soft-drink machine can be regulated so that it discharges an average of μ oz. per cup. If the ounces of fill are Normally dist
sattari [20]

Answer:

μ = 5.068 oz

Step-by-step explanation:

Normal distribution formula to use the table attached

Z = (x - μ)/σ

where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.

98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

2.33 = (6 - μ)/0.4

μ = 6 - 2.33*0.4

μ = 5.068

This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.

4 0
3 years ago
A die is rolled. If you roll a 1, 2 or 3, you will toss 10 coins. If you roll a 4, 5 or 6, you will toss 20 coins. Let X denote
trasher [3.6K]

Answer:

a) The support of X is {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

b) The mean of X is 7.5

c) The variance of X is 10

Step-by-step explanation:

a) Since you can toss up to 20 coins, and from that you can obtain any number of heads from 0 to 20, then the support of X {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

b) To compute the mean of X, we need to see how is the <em>behavior</em> of X. Since 3 dices will gives 10 coins to toss and the other 3 will give us 20, then there is a probability of 1/2 that we tossed 10 coins and a probability of 1/2 that we tossed 20.

The random variable X, conditioned to the event 'The dice is 1,2 or 3' (or equivalently, 10 coins are tossed), will have a binomial distribution with paramenters n = 10, p = 1/2. The mean of X in this case is np = 5. If X is conditioned to the event 'The dice is 4,5 or 6', then X will have also binomial distribution, but this time with paramenters n = 20, p = 1/2. The mean of X in this case is 20*1/2 = 10.

Since each event we conditioned in had probability 1/2 to occur, then E(X) = 1/2 * 5 + 1/2 * 10 = 7.5.

c) Remember that V(X) = E(X²)- E(X)². Since we alredy know the mean of X, we just need to compute the mean of X squared.

The variance of a binomial distribution Z with paramenters n and p is

V(Z) = np(1-p)

since V(Z) = E(Z²)- E(Z)² = E(Z²)- n²p², then

E(Z²) = V(Z) + E(Z)² = np(1-p) + n²p² = p²(n²-n) + np

Therefore

E(X²) = E(X² | 10 coins are tossed) * 1/2 + E(X² | 20 coins are tossed) * 1/2 =

1/2*(0.5²(10²-10) + 5) + 1/2*(0.5²(20²-20) + 10) = 13.75 + 52.5 = 66.25

As a consecuence

V(X) = 66.25 - 7.5² = 10

The variance of X is 10.

5 0
3 years ago
Which mortal kombat character is yalls favorite? Mine is kabal.
Andrews [41]

Answer:

omg! mine is Kabal tooo

Step-by-step explanation: i love mortal combat lol

3 0
2 years ago
Read 2 more answers
A 35% dextrous solution (35 mg per 100 mL of solution) is given intravenously. Suppose a total of 1.17 L of the solution is give
ludmilkaskok [199]

Answer:

The flow rate in dextrous solution  is 0.117 litres per hour

Step-by-step explanation:

Given:

The volume of fluid which passes per unit time = 1.17 Litres

Time Period = 10 hour

To Find:

The Flow rate per hour = ?

Solution:

Flow rate is defined as rate at which the "{volume of fluid which passes per unit time"

Here the Flow rate is  = \frac{\text{volume of fluid which passes per unit time}}{ time period}

On substituting the values

The Flow rate is =\frac{1.17}{10}

The flow rate is  0.117 litres per hour

Thus 0.117 litres of dextrous solution flows  per hour.

6 0
3 years ago
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