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Answer:

223454353.000000000000000000

Step-by-step explanation:

A refrigeration system of 60 kW capacity at an evaporator temperature of – 40°C and a condenser temperature of 20°C is needed in a food storage locker. The refrigerant R134a is sub-cooled by 10°C before entering the expansion valve. The vapour is 0.98 dry as it leaves the evaporator coil. The compression in the compressor is of adiabatic type.

Using the binomial distribution, it is found that there is a 0.8202 = 82.02% probability that the shipment will make it through the control check.

For each article, there are only two possible outcomes, either it meets the specifications, or it does not. The probability of an article meeting the specifications is independent of any other article, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability is:

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 8) = C_{10,8}.(0.85)^{8}.(0.15)^{2} = 0.2759[/tex]

[tex]P(X = 9) = C_{10,9}.(0.85)^{9}.(0.15)^{1} = 0.3474[/tex]

[tex]P(X = 10) = C_{10,10}.(0.85)^{10}.(0.15)^{0} = 0.1969[/tex]

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.2759 + 0.3474 + 0.1969 =  0.8202[/tex]

0.8202 = 82.02% probability that the shipment will make it through the control check.

For more on the binomial distribution, you can check https://brainly.com/question/24863377

Answer:

Mark as brainlist

Step-by-step explanation:

Steps for dividing fractions

Find the reciprocal of the divisor. Reciprocal of 35: 53.

So, 920 ÷ 35 = 920 × 53.

= 9 × 520 × 3 = 4560.

After reducing the fraction, the answer is 34.

Answer:

3/4

Step-by-step explanation:

9/20:35=9/20/3/5

=9/20*5/3

=45/60

=simplify both numbers by 15

=3/4

Answer:

42 ft

Step-by-step explanation:

2(L + W ) = P

2 (12 + 9) = P

2 (21) = P

42 = P

P = 42

Answer:

8+15+4x and 3x+15+3x

Step-by-step explanation:

Answer:

540 last week

52X540.=$28,080 a year

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

We use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 7-2)/(5-6)

    = 5/-1

    = -5

Answer:

11.8125 cups of flour

Step-by-step explanation:

4 dozen = 48 cookies

126/48=2.625 batches of 48 cookies

2.625 x 4.5 = 11.8125 cups of flour

Answer:

The slope is 1

Step-by-step explanation:

Notice that for every 2 unit increase in y, there's a 2 unit increase in x. This determines our slope, or rate of change. So, the slope is Δy/Δx=2/2=1.

Answer:

1

Step-by-step explanation:

[tex]|m| -54\\\\\text{When}~ m=45,\\\\|45| -54 = 45 -54 = -9[/tex]

[tex]\huge\textbf{Hey there!}\\\\\\\\\\\\\\\huge\boxed{\mathbf{|m| - 54 = }}\\\huge\boxed{\rightarrow \mathbf{|45| - 54 = }}\\\huge\boxed{\mathbf{\rightarrow 45 - 54}}\\\\\huge\text{Start at 45 and go back 54 to the left.}\\\huge\text{You should be left on \boxed{\bf -9}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-9}}}\checkmark\\\\\\\\\\\\\\\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

answer: 60 × 100 = 600

Step-by-step explanation:

Answer:

$66

Step-by-step explanation:

Money saved after sale= 60% of $110

= 60/100 ×$110

= $66

Answer:

4.5 ounces

Step-by-step explanation:

18/4=4.5

Step-by-step explanation:

log 10/log7=a

log10=alog7

log10=log7^a

10=7^a

log 5/log7=b

log5=blog7

log5=log7^b

5=7^b

Answer:

the answer is given in the photo below

Answer:

5(2+3x)

Step-by-step explanation:

5 x 2 = 10

5 x 3x = 15x

10+15x

(PEMDAS)

Answer:

Step-by-step explanation:

im a boy

Answer:

2

Step-by-step explanation:

5 feet + 12 inches = 2 yards

Therefore

5 feet + 12 inches = yard(2)

I solving for (s)

hope that helps

Answer:

1 hour

Step-by-step explanation:

if he started at 12 pm, then in 1 hour he would finnish

[tex]t = \sqrt \frac{ {2(x - ut)} }{a} \\ = > t = \sqrt{ \frac{2x - 2ut}{a} } \\ = > {t}^{2} = \frac{2x - 2ut}{a} \\ = > a {t}^{2} = 2x - 2ut \\ = > \frac{ { - at}^{2} }{2ut} = 2x \\ = > \frac{ - at}{2u} = 2x \\ = > \frac{ - at}{2u \times 2} = x \\ = > \frac{ - at}{4u} = x[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

i think D. 4x4x4 = 64 is answer

Step-by-step explanation:

4³ = 4×4×4 = 64

Answer:

0

Step-by-step explanation:

Answer:

455554444444555556555555554444

Answer:

1/2 approximately 1/2......

Answer: C. (1/2)

Step-by-step explanation: You can see they split the box into 2 halves and one half is shaded so 1/2 is shaded you can also solve by 2/2 - 1/2 = 1/2

Answer:

6x+20 cm

Step-by-step explanation:

-formula : perimeter of rectangle=2(L+W)

L=2x+10  W=x

2(2x+10+x)

=2(3x+10) *distribute 2 on 3x ,10*

=6x+20 cm

Answer:

(1/2)x + 4 - 4 = 10 - 4

2(1/2)x = 6 * 2

x = 12

Answer:

11∑N=1 9000 (1.048)^n

Step-by-step explanation:

First month = a = 9,000burgers

Common ratio = r = 1 + 0.48 = 1.048

Total number of months = n = 11; from February to December.

Formula to determine the number of burgers the restaurant expects to sell this year:

       =   11∑N=1 9000 (1.048^n)

Answer:

a

Step-by-step explanation:

Answer:

25.

Step-by-step explanation:

5 ft 7 in = 5.583 ft.

We have 2 similar triangles here.

If h is the height of the tree, then:

h / 5.583 = 18/4

h = 18*5.583/4

h = 25.12 ft

The height of the tree is approximately 25.12 feet.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The ratio of the shadow lengths is equal to the ratio of the object heights.

In other words, if we let H be the height of the tree in feet and h be the height of the person in feet, we have:

H/h = 18/4

We can find h by converting the person's height to feet. Since 1 inch is equal to 1/12 foot, the person's height in feet is 5 + 7/12 = 5.58 feet.

Substituting this value into the equation above and solving for H, we get:

H = (18/4) x 5.58 feet

= 25.12 feet

Therefore, the tree is around 25.12 feet tall.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

Answer:

5

Step-by-step explanation:

Usually, the sequence is [tex]a_{1}, a_{2}, a_{3}, a_{4}, ..., a_{n}[/tex] where n is a postive number.

From the question,

[tex]a_{n} = a_{n-1} - 5[/tex]

if n = 2 ;  

[tex]a_{2} = a_{1} - 5[/tex]

[tex]a_{2} = 20 - 5 = 15\\[/tex]

Thus, we got [tex]a_{2} = 20[/tex].

if n = 3 ;  

[tex]a_{3} = a_{2} - 5[/tex]

[tex]a_{3} = 15 - 5 = 10[/tex]

Thus, we got [tex]a_{3} = 10[/tex].

if n = 4 ;  

[tex]a_{4} = a_{3} - 5[/tex]

[tex]a_{4} = 10 - 5 = 5[/tex]

Thus, we got [tex]a_{4} = 5[/tex].

***There are many ways to solve this question

example:

[tex]a_{n} = a_{n-1} - 5[/tex]

[tex]a_{n} - a_{n-1} = - 5[/tex]

Substitute n with 2, 3, 4

Then, we will get 3 equations.

Sum them up;

We will get

[tex]a_{4}-a_{3}+a_{3}-a_{2}+a_{2}-a_{1} = -15\\a_{4}-a_{1} = -15\\a_{4} = -15+20 = 5[/tex]

is 1.25 because you just add them together