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Flura [38]
3 years ago
12

13°38'35" to decimal degrees

Mathematics
2 answers:
dexar [7]3 years ago
6 0
<span>Hi! 13°38'35'' to decimal degrees, let's go:

<span><em>First, the minutes >>> (divide by 60)</em></span>
1° → 60' 
x  ---- 38'     ??

60x = 38
    x = 38 / 60 
    x = 0.6333

<em>After, the seconds >>> (divide by 3600)</em>
1° </span>→ 3600''
<span>x ----  35''   ??

3600x = 35
        x = 35 / 3600 
        x = 0.009722

So, now add:  13 + </span> 0.6333 + 0.009722 = 13.64305
<span>
<span>Result: 13.64305 decimal degrees
</span>
I hope this helps! :)
</span>
babymother [125]3 years ago
4 0

divide 35 by 3600

 divide 38 by 60

add them together

35/3600 = 0.009722

38/60=0.6333

0.6333+0.009722 = 0.64305

 so 13.64305 degrees. round answer as necssary

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Not enough information given

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(y_2 - y_1) / (x_2 - x_1) = m

The underscores show which ordered pair, so _2 means the values from the second one.

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3 years ago
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A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all
barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

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c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all are boys. Assume that the probability of having a girl is 47.00​%. ​

a) Create a probability model for the number of children​ they'll have.

X=1,2,3

​P(X=1)=??

P(X=2)= ??

P(X=30=???

​(Round to four decimal places as​ needed

​b) Find the expected number of children.

E(X)= ???

​c) Find the expected number of boys​ they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

             = 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

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P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

       = 0.148875×3 +0.46375×2+0.2491 ×1

      = 1.6232

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In a study of 250 adults, the mean heart rate was 70 beats per minute. Assume the population of heart rates is known to be appro
pantera1 [17]
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In this case: the sample mean is 70 and the margin of error is approximately 1.95

So to calculate the confidence interval, do the following:
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xxTIMURxx [149]

Answer:

The approximate area is 35 square centimeters

Step-by-step explanation:

we know that

The cross section passing through the diagonal of opposite faces of the cube is a rectangle

so

the approximate area is equal to

A=bh

where

b is the diagonal of a face

h is the length side of the cube

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3 years ago
Someone can help me for all the question ?
Dvinal [7]

Answer:

1. 5

2. 3 adult tickets; 2 child tickets

3. See below

Step-by-step explanation:

1.

2 adult tickets cost 2 × $12 = $24

Subtract $24 from $64:

$64 - $24 = $40

Divide $40 by $8:

$40 ÷ $8 = 5

Answer: 5 child tickets

2.

x = number of adult tickets

y = number of child tickets

The total number of tickets is 5, so the first equation is:

x + y = 5

The cost of x adult tickets is 12x. The cost of y child tickets is 8y. The total cost is 12x + 8y. We are told the total cost is $52. The second equation is:

12x + 8y = 52

The system of equation is:

x + y = 5

12x + 8y = 52

Let's solve it by substitution.

Solve the first equation for x.

x = 5 - y

Now we substitute x in the second equation by 5 - y.

12(5 - y) + 8y = 52

Distribute:

60 - 12y + 8y = 52

Combine like terms on the left side:

-4y + 60 = 52

Subtract 60 from both sides:

-4y = -8

Divide both sides by 4.

y = 2

Substitute y = 2 in the first original equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

Answer: 3 adult tickets; 2 child tickets

3.

The customer's claim is incorrect. His sum is $71. 71 is an odd number. Since all ticket prices are even numbers, it is impossible to add only even numbers and get an odd sum. A sum of several amounts of 12 and several amounts of 8 can never equal 71.

We can also show his claim is false using a system of equations.

x + y = 7

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Use substitution.

x = 7 - y

12(7 - y) + 8y = 71

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84 - 4y = 71

-4y = -13

y = 3.25

This means 3.25 child tickets. The problem states that tickets can be purchased only in whole numbers, so 3.25 tickets cannot be purchased, so the customer's claim is false.

4 0
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