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natita [175]
3 years ago
5

Find the HCF of 27, 63, 54 using prime factorization method.

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

27 = 3 , 3, 3

63= 3 , 3, 7

54= 3 , 3, 3, 2

HCF OF 27, 63 AND 54 = 3 X 3 = 9

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Listed below are prices in dollars for one night at different hotels in a certain region. Find the​ range, variance, and standar
Vanyuwa [196]

Answer:

Range = $115

Variance = $1915.2857

Standard deviation = $43.764

Step-by-step explanation:

Given the data:

234 160 119 131 218 207 146 141

Arranging in ascending order :

119, 131, 141, 146, 160, 207, 218, 234

The range = maximum - minimum

The range = 234 - 119 = 115

The variance :

Σ(x - mean)²/n-1

The mean = Σx / n

The mean = 1356 / 8 = 169.5

Variance :

Σ(x - mean)² = (119-169.5)² + (131-169.5)² + (141-169.5)² + (146-169.5)² + (160-169.5)² + (207-169.5)² + (218-169.5)² + (234-169.5)² = 13407

n - 1 = 8 - 1 = 7

Variance = 13407 / 7 = 1915.2857

Standard deviation = √variance

Standard deviation = √1915.2857

Standard deviation = $43.764

8 0
3 years ago
The probability that Carmen will get an A on her math test is 80%, and the probability that she will get an A on her science tes
VLD [36.1K]

Answer:

70%

Step-by-step explanation:

60+80=140

140/2=70

8 0
3 years ago
The following two sets of parametric functions both represent the same ellipse. Explain the difference between the graphs.
statuscvo [17]
The answer
ellipse main equatin is as follow:

X²/ a²   +  Y²/ b²  =1, where a≠0 and b≠0

for the first equation: <span>x = 3 cos t and y = 8 sin t
</span>we can write <span>x² = 3² cos² t and y² = 8² sin² t
and then  </span>x² /3²= cos² t and y²/8² =  sin² t
therefore,  x² /3²+ y²/8²  =  cos² t + sin² t = 1
equivalent to x² /3²+ y²/8²  = 1

for the second equation, <span>x = 3 cos 4t and y = 8 sin 4t we found
</span>x² /3²+ y²/8²  = cos² 4t + sin² 4t=1

7 0
3 years ago
Read 2 more answers
Glven: F(x) = 2x - 1; G(X) = 3x + 2; H(x) = x2<br> Find F/G/H(2)<br> 121<br> 27<br> 71
Sergio039 [100]

Answer:

3/32

Step-by-step explanation:

One approach to doing this probelm is to evaluate all three functions F, G and H at x = 2:

F(2) = 2(2) - 1 = 3

G(2) = 3(2) + 2 = 8

H(2) = (2)^2 = 4

                                                           3/8

Then (F/G)(2) = (3/8), and (F/G/H) = -------- = 3/32

                                                              4

8 0
3 years ago
Ivan has a $500 bond with a 5.8% coupon. Ivan purchased this bond for $515.
svetoff [14.1K]

Answer:

The yield is 5.974%

Step-by-step explanation:

We proceed as follows ;

coupon rate = Annual coupon payment/bond face value.

The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%

mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87

mathematically;

current yield = Annual coupon payment/bond price

current yield = 29.87/500

= 0.05974 or simply 5.974%

so the answer is c. 5.6%

Step-by-step explanation:

3 0
3 years ago
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