4. Suppose bank customers arrive randomly on weekday afternoons at an average of 32

customers every 4 minutes. What is the probability of exactly 5 customers arriving in a 4 minute interval on a weekday afternoon?


​

Answer:

Step-by-step explanation:

Using the formula

c= the square root of a^2+b^2

Solving for a  

a=square root of c^2﹣b^2=

152﹣72 ≈ 13.2665

So rounded would be 13.27

Answer:

x = 21

Step-by-step explanation:

the equation is 2x + 10 = 52

2x = 42

x = 21

Answer:

,exact answer not found

Step-by-step explanation:

36*240\6

The volume of a right circular cone that has a height of 10.6 m and a base with a diameter of 18.5 m is,

V = 949.76cm³

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Height of cone = 10.6 m

Diameter of cone = 18.5 m

Hence, We can solve for radius as;

= 18.5/2

= 9.25

We know that;

Volume of a right circular cone is,

V = 1/3(πr²h)

Here, r = 9.25, h = 10.6, π = 3.14,

Hence, We get;

V = 1/3(3.14)(9.25)²(10.6)

V = 1/3(3.14)(85.5625)(10.6)

V = 1/3(2847.86225)

V = 949.287417

V = 949.76cm³

Thus, The volume of a right circular cone that has a height of 10.6 m and a base with a diameter of 18.5 m is,

V = 949.76cm³

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Answer:

f(4)= 1

Step-by-step explanation:

f(x) = y

if x = 4 , y = 1

Answer:

The water park and The water balloon rentals

Step-by-step explanation:

Answer:

[tex] - 45.5[/tex]

Step-by-step explanation:

Given that,

[tex]a = 7 \\ b = 2[/tex]

Question :

[tex] \frac{a}{b} - {a}^{b} [/tex]

Let us solve

[tex] \frac{a}{b} - {a}^{b} \\ \frac{7}{2} - {7}^{2} \\ 3.5 - 49 \\ = - 45.5[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Step-by-step explanation:

= [tex]\frac{7}{2}-7^{2}[/tex]

= [tex]\frac{7}{2}-49[/tex]

= [tex]\frac{7}{2} -\frac{98}{2}[/tex]

= [tex]\frac{-91}{2}[/tex] Or - 45.5

please give me a brainliest answer

Answer:

(7 + 3) + 2 equals 10 + 2 which equals 12

7 + (3 + 2) equals 7 + 5 which equals 12

Step-by-step explanation:

D. The change in the elevators height for every one additional second

Answer:

24,800.07

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

We are given the equation:-

[tex] \displaystyle \large{x + Cy = \frac{1}{4} }[/tex]

Since we wants to find the value of C that makes the line pass y-intercept which is -1/16.

When we talk about y-intercept, our x-value remains 0 and y-value remains any real number.

It can be expressed as (0,b) point where b is any real numbers.

What we have to do is to substitute (0,-1/16) or x = 0, y = -1/16 in the equation so we can find the value of C.

Thus:-

[tex] \displaystyle \large{x + Cy = \frac{1}{4} } \\ \displaystyle \large{0 + C( - \frac{1}{16} ) = \frac{1}{4} } \\ \displaystyle \large{ - \frac{ C}{16} = \frac{1}{4} }[/tex]

Multiply both sides by GCF.

[tex] \displaystyle \large{ - \frac{ C}{16} = \frac{1}{4} } \\ \displaystyle \large{ - \frac{ C}{16} (16)= \frac{1}{4} (16)} \\ \displaystyle \large{ - C= 4 } \\ \displaystyle \large{ C= - 4 }[/tex]

Therefore, C = -4

Answer:

0.9

Step-by-step explanation:

14/15 = 0.933333333  IF:

1. You first change it into a decimal by dividing the numerator by the denominator.

       14 ÷ 15

2. You will get a recurring decimal.

     0.933333333

3. The first digit after the decimal is in the position of the 'tenths'

      0.9

4. You should use only two digits after the decimal to calculate

      0.93

5. Since the number 3 is less than five, it will change into a zero and get eliminated.

            ∴ The answer will be = 0.9

Answer:

11/4 or 2 3/4

Answer:

42.7mph (can round it to 43mph)

Step-by-step explanation:

since you have distance and time to find the speed you can just divide the distance 1112 with the time 26 and you will get the speed.

Step-by-step explanation:

Given the general form of the absolute value function, y = a|x - h| + k

The value of k determines how far up or down the parent function is translated. If k is positive, the function is translated k units up.  If k is negative, the function is translated |k | units down.

The value of h determines how far left or right the parent function is translated. If h is positive, the function is translated h units to the right.  If h is negative, the function is translated |h | units to the left.

The value of a determines whether the graph opens up or down.

The value of a also makes the parent function wider or narrower.

Answer:

fjjwiddjrjefjdjdjdjdjdjdjdjdjjdjdjrjrjxbqvrdjd

Answer:

195 miles

Step-by-step explanation:

take 3.25 times 60, because there are 60 minutes in an hour

9514 1404 393

Answer:

  D.  5

Step-by-step explanation:

The discontinuities in the tangent function are found where the argument matches π/2 +nπ for some integer n. If x has the range [0, 4], then x² has the range [0, 16]. We're looking for the number of values of n that satisfy ...

  0 ≤ π/2 +nπ ≤ 16

Dividing by π gives ...

  0 ≤ 1/2 +n ≤ 16/π

Subtracting 1/2, we have ...

  -1/2 ≤ n ≤ 4.59...

The integer values of n in this range are {0, 1, 2, 3, 4}. There are 5 of them, hence ...

  5 discontinuities in the interval

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Perimeter of a triangle is equal to the sum of measures of its three sides, that is :

so, the three sides are :

Answer:

1 7/18

Step-by-step explanation:

I Had Also Taken The Test And It Was 1 7/18 In Mixed Numbers.

The expression 4(19 + e2) + 3f at e = 13 and f = 16 is 804.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, we have to Evaluate the expression 4(19 + e2) + 3f when e = 13 and

f = 16 is the same as replacing the numerical values of e and f in the expression

4(19 + e2) + 3f which is,

= 4(19 + 13²) + 3×16.

= 4(19 + 169) + 48.

= 4(189) + 48.

= 756 + 48.

= 804.

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Answer:

answer is -1

sorry for bad handwriting

Answer:

Two negatives equal a postive. So, 5*3 = 15b - (-5)*2 and that would equal 10c. Using the Distributive Property to multiply each side by -5.

Step-by-step explanation:

15b+10c is your answer.

Hope this helps! (:

9514 1404 393

Answer:

  4 mph

Step-by-step explanation:

The ratio of speeds upstream and down is inversely proportional to the ratio of times upstream and down. If we let c represent the speed of the current, the relation can be written ...

  (47 +c)/(47 -c) = 51/43

  43(47 +c) = 51(47 -c)

  94c = 8(47) . . . . . . . . . . . add 51c -43(47)

  c = 4 . . . . . divide by 94

The speed of the current is 4 miles per hour.

Answer:

a=1/3

Step-by-step explanation:

24a=8

Divide both sides by 24, and you will get a=8/24

Divide both the numerator and denominator by 4, and you will get 2/6, which is equivalent to 1/3.

Answer:

a = 1/3

Step-by-step explanation:

Divide both sides of the equation by the same term(24)

24a/24 and 8/24 = a = 1/3

1.705

2.401

3.906

4.907

5.501

6.206

7.507

8.602

9.307

10.705

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Answer:

3/5

Step-by-step explanation:

Answer: I would say 3 divided by 2 or it would be 3/2.

Step-by-step explanation: Hit me up if i got it right:)

Answer:

≈ 38.64 units

Step-by-step explanation:

The length of arc s is calculated as

circumference of circle × fraction of circle

The central angle subtended by arc s is 360° - 114° = 246° then

arc s = 2πr × [tex]\frac{246}{360}[/tex]

        = 2π × 9 × [tex]\frac{41}{60}[/tex]

        = 18π × [tex]\frac{41}{60}[/tex]

        ≈ 38.64 ( to 2 dec. places )

Answer:

620 x 815 = 505300   50530 divided by {- 310}  = - 1630

Step-by-step explanation:

Answer:

a) (x + 1780)

b) -12

Step-by-step explanation:

The car corporation produced more cars this month than the month before (indicated by x). A signed number is that which indicates whether or not there has been an increase/decrease also known as negative or positive, thus the final answer is +1780

The same step applies to fahrenheit.