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Answer:

0.064

Step-by-step explanation:

Number of days in a year = 365

Mean rate of false alarm in a year = λ = 365 * 0.2 = 73

Standard deviation, σ = sqrt(λ) = sqrt(73) = 8.54 (for large λ value)

Using the relation :

P(x < 60): (60 - 73) / 8.54

P(x < 60) = - 1.52

P(Z < - 1.52) = 0.06426 (Z probability calculator

= 0.064

Answer:

P = 3s

Step-by-step explanation:

To start with, let's assume that

The perimeter of a triangle is called P

The side of a triangle is called s

Now, by formulae, the perimeter of an equilateral triangle is given as P = 3s. Which is the same as adding up the 3 sides together.

Succinctly put, we can then conclude that if P = 3s, then the perimeter of an equilateral triangle is equal to the lengths of its 3 sides.

Answer:

An object's initial position

The initial velocity of an object

The time an object was in motion

The acceleration of an object

Step-by-step explanation:

That equation is used to solve for an object's final position.

150+10=160

160p+200=1200

-200 -200

160p= 1000

1000/160= 6.25

Answer:

12 cups are less than 4 liters

Answer:

4 litres is greater.

A litre is worth about 4.23 cups. This means 4 liters is worth around 16.9 cups, whereas cups are worth 2.83 litres.

Solution for 80000 is what percent of 800000:

80000:800000*100 =

(80000*100):800000 =

8000000:800000 = 10

Now we have: 80000 is what percent of 800000 = 10

Answer: 13 miles

Step-by-step explanation:

30 min plue 30 min is 1 hour

if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13

Answer:

30 (ft^2/gal)

Step-by-step explanation:

The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).

Here we have the unit rate

120 ft^2

---------------- = (30 ft^2)/gal or 30 (ft^2/gal)

 4 gallons

Answer:

∠B = 78°

Step-by-step explanation:

∠C = 1/2 arc AB = 1/2(120°) = 60°   because it is an inscribed angle

∠B = 180° - 42° - 60° = 78°

The measure of  ∠ B is  78°.

An inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

According to the question

m ∠ A= 42º.

mAB = 120°

By  inscribed angle theorem :

mAB = 2 m∠C

120° = 2 m∠C

m∠C = 60°

now,

according to the sum of angle of triangle

m ∠ B + m∠C + m ∠ A = 180°    

m ∠ B +60° + 42º= 180°  

m ∠ B = 78°

Hence, the measure of  ∠ B is  78°.

To know more about inscribed angle theorem here:

https://brainly.com/question/5436956

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Answer:

I would say C.

Step-by-step explanation:

Point A would be exactly at sea level while B and C are both under A

(sea level).

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: the answer is C

Step-by-step explanation: AP3X

The total cost is $249,739.

A mortgage rate is the interest rate on a mortgage. Mortgage rates are set by the lender and might be fixed, remaining constant during the length of the loan, or variable, varying with a benchmark interest rate. Borrowers' mortgage rates differ depending on their credit profile.

We have,

P = $105, 000

T = 40 year

R = 5.2%

Using

Monthly payment, P = C[i(1+i[tex])^n[/tex]]/[(1+i[tex])^n[/tex]-1]

P = 105,000 [ 0.052/12(1+0.052/12[tex])^{480[/tex]]/[(1+0.052/12[tex])^{480\\[/tex]-1]

P = 105,000 [ 0.00433 (7.8426)] / [7.8426 -1]

P = 105,000 [ 0.03372318] / (6.8426)

P = $249,739

Learn more about Mortgage Rate here:

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Answer:He buys 8 pounds

Step-by-step explanation:

You can either just add up the $3.25 until you get to the end-price, but that wont always work for every problem. The best way is to divide the 26 with the 3.25 in a written devision.

Answer:

he buys 8 pounds

Step-by-step explanation:

you add up until you get to 26 and then count how many times you added :)

Answer:

438.4

Step-by-step explanation:

100% + 37% = 137% = 1.37

320 x 1.37 = 438.4

so the answer that I got is 438.4

I really hope this helps

Answer:

Step-by-step explanation:

155° - 110° = 45°

Answer:

A

Step-by-step explanation:

Because i literally just did it on khan academy plus 155-110=45

Answer:

LS is parallel to MN

Step-by-step explanation:

LS and MN are the only lines to have the parallel symbol (the 2 arrows)

Answer:6 members swam 10.11Km  during the season

Step-by-step explanation:

Number of members = 6

meters swam by each of the  6 members = 1,685 meters

Total meters swam by  the 6 members  during the season

= 1,685 meters X 6

=10,110 meters

But 1000m  =1km

10,110 m =10.11Km

Answer: 139 feet

Step-by-step explanation:I used tan. Tan(44) = x/140

x = 140(Tan 44)

x = 135.196

The transit is 4, so we add that to 135.

This makes 139 feet.

Does this seem right to you?

Answer:

4x + 33 / 9 = -9

multiply both side by 9;

9x(4x + 33 / 9 )= -9 x(9)

36x + 33 =-81

36x = -81-33

36x = -114

x = (-114)/36

Step-by-step explanation:

Answer:

4x+33/9= -9 (reduce the fraction)

4x+11/9= -9 (move the constant to the.

right)

4x = -9- 11/9

4x = -38/3 (divide both sides by 4)

x = -19/6

Answer:

RO = 39.5

Step-by-step explanation:

RO/9 = 57/13

13RO = 513

RO = 513/13

RO = 39.46

Answer:

39.5

Step-by-step explanation:

[tex]\frac{KN}{NM} =\frac{RO}{RQ} \\\\\frac{9}{13} =\frac{x}{57} \\\\13x=513\\x=39.5[/tex]

Answer:

51

Step-by-step explanation:

Answer:

5m+6

Step-by-step explanation:

Hello There!

We can simplify the given expression using distributive property

We can distribute the 2 to the m and - 3

2 * m = 2m

2 * -3 = -6

Now lets distribute the 3 to the m and the 4

3 * m = 3m

3 * 4 = 12

we´re left with

2m - 6 + 3m +12

our final step would be to combine like terms

2m + 3m = 5m

-6 + 12 = 6

so the simplified version would be

5m+6

Answer:

2.5

Step-by-step explanation:

graham crackers  each student receive = total number of crackers / total number of students

20 / 8 = 2.5

Given:

The vertices of a right triangle are:

[tex](-3,4),(3,4),(3,-4)[/tex]

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]

[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]

[tex]AB=\sqrt{(6)^2+0}[/tex]

[tex]AB=\sqrt{36}[/tex]

[tex]AB=6[/tex]

Similarly,

[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]

[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]BC=\sqrt{64}[/tex]

[tex]BC=8[/tex]

And,

[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]

[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]

[tex]AC=\sqrt{36+64}[/tex]

[tex]AC=\sqrt{100}[/tex]

[tex]AC=10[/tex]

Now, taking sum of squares of two smaller sides, we get

[tex]AB^2+BC^2=6^2+8^2[/tex]

[tex]AB^2+BC^2=36+64[/tex]

[tex]AB^2+BC^2=100[/tex]

[tex]AB^2+BC^2=AC^2[/tex]

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

Answer:

3.5/1.5 or 14/6

Step-by-step explanation:

equivalent

Answer:

simplified its 5:4 for juniors to freshmen's

Step-by-step explanation:

Answer:

5 : 4

Step-by-step explanation:

Ratio of juniors to freshmen = 15 : 12

15 = 3 * 5

12 = 3 * 4

GCF = 3

15 : 12 = 15÷3 : 12÷ 3

         = 5 : 4

Answer:

4,128 books

Step-by-step explanation:

Let

x = number of books

Fixed cost = $44,376

Variable cost = $8.25 per book

Total cost = fixed cost + variable cost

Total cost = 44,376 + 8.25x

Selling price of book = $19 per book

Total revenue = 19x

How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Total cost = Total revenue

44,376 + 8.25x = 19x

44,376 = 19x - 8.25x

44,376 = 10.75x

x =44,376/10.75

x = 4,128 books

The publisher must produce and sell 4,128 books so that the production costs will equal the money from sales

Answer:

y=-2x +1

Step-by-step explanation:

hope this helps