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cupoosta [38]
3 years ago
5

What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip? (Total bill is the dinner cost plus the sales tax and

the tip.)
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0
$67.85 is the answer
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Please answer this question now in two minutes
Vinil7 [7]

Answer:

NMP and QPR

Step-by-step explanation:

NMP and QPR

<u><em> this pair is the only pair of corresponding angles in this picture</em></u>

3 0
3 years ago
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this m
Ilya [14]

Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second  map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

7 0
3 years ago
The test to detect the presence of respiratory syncytial virus is 97% accurate for a person who has the virus and 99% accurate f
Setler79 [48]

Answer:

The probability that a randomly selected person gets incorrect result is 2.2 × 10⁻⁴

Step-by-step explanation:

The parameters given are;

The accuracy of the test for a person who has the respiratory synctial virus = 97%

The accuracy of the test for a person who does not have the respiratory synctial virus = 99%

We have;

a = TP =

b = FP

c = FN

d = TN

a/(a + c) = 0.97

d/(d + b) = 0.99

a/(a + b) = 0.97*0.0055/(0.97*0.0055 + (1 - 0.99)*(1-0.0055))

PPV = 0.349 = 34.9%

Therefore, we have;

a/(a + c) = 0.97 and

a/(a + b)  =  0.349

0.97(a + c) =0.349(a + b)

(0.97 - 0.349)a = 0.349·b - 0.97·c

a = (0.349·b - 0.97·c)0.621

b × (1 - 0.0055) = (1 - 0.97)×(1 - 0.0055)

b = 1 - 0.97 = 0.03

Similarly,

c = 1 - 0.99 = 0.01

The proportion of the population that have false positive and false negative = 0.03 + 0.01 = 0.04 = 4%

The probability that a randomly selected person gets incorrect result = 0.04×0.0055 = 0.00022.

5 0
3 years ago
If the area is 2289.06 whats the radius
solniwko [45]
I'm assuming you are referring to the radius of a square

The first thing we have to do is divide by pi, because it's the last thing you do when calculating the area.

2289.06/3.14
729

Now, we have to take the square root of this number because the radius in the area formula is squared.

729^1/2
27

So, the radius is 27.
3 0
3 years ago
Which decimal is equivalent to 0.50
ladessa [460]

Answer:

There is not another decimal equivalent to this but thre is fractions which your would be, 1/2 2/4

4 0
2 years ago
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