A)32 ft
B) 60 Ft
C) 72ft
D) 96ft

Using the probability concept, it is found that there is a:

A personal identification number (PIN)  consists of four digits, and considering they can repeat, the total number of PINs is:

[tex]T = 10^4 = 10000[/tex]

Item a:

A PIN equals to 0000 is one outcome, hence:

[tex]p = \frac{1}{10000} = 0.0001[/tex]

0.0001 = 0.01% probability that a PIN number is equal to 0000.

Item b:

In this interval, there are 8000 - 7900 - 1 = 99 possible values, hence:

[tex]p = \frac{99}{10000} = 0.0099[/tex]

0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.

Item c:

One in ten numbers are divisible by 10, hence:

[tex]p = \frac{1}{10} = 0.1[/tex]

0.1 = 10% probability that a PIN number is divisible by 10.

Item d:

12 numbers, from 1 to 12, are less than 13, hence 10000 - 12 = 9988 are at least 13, hence:

[tex]p = \frac{9988}{10000} = 0.9988[/tex]

0.9988 = 99.88% probability that a PIN number is at least 13.​

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Answer:

$ 28,665.11 must be deposited today into the account.

Step-by-step explanation:

Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:

X x (1 + 4/12) ^ 5x12 = 35,000

X x (1 + 0.333) ^ 60 = 35,000

X x (1,333) ^ 60 = 35,000

X x 1.220999 = 35,000

X = 35,000 / 1.22099

X = 28,665.11

Thus, $ 28,665.11 must be deposited today into the account.

Volume is a three-dimensional scalar quantity. The item is the cereal box.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.

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Step-by-step explanation:

ig its box B if it was wrong sorry! but yes ig its B

Answer:

B

Step-by-step explanation:

Answer:

-2.5 + 3.5 n

Answer:

5) arccos A = 28°

6) arcsin A = 53°

Step-by-step explanation:

5) cos A = 30/34

6) sin A = 32/40

5)

For a right triangle, the cosine of an angle is the ratio between the length of the adjacent side and the length of the hypotenuse (the hypotenuse is the longest side of the triangle).

In this case,

cos(A) = adjacent / hypotenuse = 30 / 34 = 15/17

6)

For a right triangle, the cosine of an angle is the ratio between the length of the opposite side and the length of the hypotenuse.

In this case,

sin(A) = opposite / hypotenuse = 32 / 40 = 4/5

A way to remember sine, cosine, and tangent is SOHCAHTOA, where

SOH is Sine = Opposite / Hypotenuse

CAH is Cosine = Adjacent / Hypotenuse

TOA is Tangent = Opposite / Adjacent

Answer:

a is the wrong answer

Step-by-step explanation:

the area of the circle is 40.8407 in^2

Answer:

5th term

Step-by-step explanation:

x^2 +3 = 28

Subtract 3 from each side

x^2+3-3 =28-3

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = 5

(x could be -5, but there are not usually negative terms in a sequence)

Answer:

The value of X1 is -5, X2 is +5.

Answer:

5400000

Step-by-step explanation:

To make it easier.

12 x 45, then add your four zeros on your answer!

Hope this helps!

Yours Truely, TheAnimeCatUwU

Answer:

The seat no of a plane is 2

Answer:

0.138 acres per pound of seed

Step-by-step explanation:

Answer:

The rise over run in the red triangle is

-1/-4

Step-by-step explanation:

y = 1/4x + 4 (This is the equation)

So the opposite of 1/4 is

-1/-4

Answer:

1. 1/3

2. 19/8

Step-by-step explanation:

The level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.

It is defined as a three-dimensional space enclosed by an object or thing.

It is given that:

Neelam is pouring sand into a clear box to make sand art.

The volume of the sand = 43 3/4 - 26 1/4

After simplification:

The volume of the sand = 17 1/2

The height of the sand = 17 1/2 ÷ (7x 2 1/2)

After solving:

The height of the sand = 1 inch

Thus, the level of the sand rise when Neelam adds the blue sand is 1 inch if Neelam is pouring sand into a clear box to make sand art.

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Answer:

Given

a)

b)

c)

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

2

cos

2

(

2

x

)

=

1

Step 2: Divide both sides by 2:

cos

2

(

2

x

)

=

1

2

Step 3: Take the square root of both sides:

cos

(

2

x

)

=

√

2

2

or

cos

(

2

x

)

=

−

√

2

2

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

2

x

=

cos

−

1

(

√

2

2

)

or

2

x

=

cos

−

1

(

−

√

2

2

)

Step 5: Find angles that work:

2

x

=

π

4

or

2

x

=

7

π

4

or

2

x

=

3

π

4

or

2

x

=

5

π

4

Step 6: Solve for x:

x

=

π

8

,

7

π

8

,

3

π

8

,

5

π

8

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

Answer:

Step-by-step explanation:

Three faces are equal triangles with:

The base is a triangle with:

Surface area is sum of areas of 4 faces:

Answer:

301.59 units or 301.6 after rounding

Answer:

33.4 cm

Step-by-step explanation:

Given:

θ = 31°

Arc length of PR = 9 cm

Required:

Diameter

Solution:

Diameter of the circle = 2*radiius = 2*PQl

Arc length = θ/360 × 2πr

Plug in the values into the equation

9 = 31/360 × 2πr

9 = 0.54r

9/0.54 = r

16.6666667 = r

r = 16.7 cm

Radius = 16.7 cm

Therefore,

Diameter = 2*radius = 2*16.7 = 33.4 cm

Answer:

1. c

2. f

3. d

Step-by-step explanation:

This type of queuing model is an example of "single-channel, single-phase" process.

However, from the information given:

The inter-arrival rate = 10 customers per hour

Arrival time = 6 minutes

Service time = 5 minutes

∴

utilization = service time/arrival time

= 5/6

Time on queue [tex]T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}[/tex]

[tex]T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}[/tex]

[tex]T_q = 25 \times 3.60945[/tex]

[tex]T_q = 90.24 \\ \\ T_q \simeq 90 \ mins[/tex]

Thus, customer waiting in the queue line is;

[tex]= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}[/tex]

Thus, new customers will have to wait in a total time of;

= waiting time + service time

= 90 + 5

= 95 minutes.

Answer:

1: 30

2: 90

3: 45 or 30 (what angle is it talking about? The line on the right or the left? It was a bit unclear.. can u comment it?)

4: 90

5: 30+90+45= 165 OR 30+90+30= 150

Answer:

1390

Step-by-step explanation:

Answer:

the answer is 1430 in military time

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Because you Subtract 1 from both sides of the equation

and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2

Answer:

Step-by-step explanation:

4(5 +6) - 15

4(11) - 15

= 44 - 15

= 25

The solution is equal to 29

Answer:

[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]

It's Equal to 29

Answer: d

Step-by-step explanation:

t= b1- B0/ SE(b1) = 2.37-0/0.65= 3.646 -> 3.65

The closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.

A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.

We have a least-squares regression line to be:

R^ = 126+2.37T

A hypothesis test was conducted to investigate whether there is a linear relationship between maximum daily temperature and the daily revenue from salmon sales.

Using a T-test to find the significance of the slope coefficient is measured:

[tex]\rm t = \frac{b}{SE}[/tex]

Here SE = 0.65

b = 2.37

Put this value in the above expression, we get:

[tex]\rm t = \frac{2.37}{0.65}[/tex]

t = 3.6461   or

t = 3.65

Thus, the closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.

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9514 1404 393

Answer:

Step-by-step explanation:

For a quadrilateral in which the diagonals cross at right angles, such as a rhombus or kite, the area can be found as half the product of the diagonals.

For the purpose here, we can ignore the factor of 1/2, which is the same for both, and simply consider the products of the diagonals.

Kite A has an area proportional to (30 in)(30 in) = 900 in².

Kite B has an area proportional to (20 in)(40 in) = 800 in².

Kite A has a larger area, so will use more paper.

__

Only Rudy knows why he chose answer C. Perhaps he guessed, rather than doing any math.

Answer:

A. Kite A

Step-by-step explanation:

To determine which of the two kites will use need more paper to make, find the area of each kite.

Kite A:

Area = (d1*d2)/2

d1 = 30 in.

d2 = 30 in.

Area of kite A = (30*30)/2 = 450 in.²

Kite B:

Area = (d1*d2)/2

d1 = 20 in.

d2 = 40 in.

Area of kite B = (20*40)/2 = 400 in.²

✅Kite A will use more paper to make because it has a greater area of 450 in.² than Kite B (400 in.²).

So, Ruby was wrong. He most likely didn't calculate the area of both kites correctly.

Answer:

It is the value of pie(22/7)

Answer:12/50 * x/588

Step-by-step explanation:= 141.12

588 - 141.12 = 446.88

I would expect 447 students to prefer Coke.

Hope this helps