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2 years ago

14

There are 180 students going on a class field trip. Of those students, 40% are boys. How many students on the field trip are boy

s?

2 answers:

MAXImum [283]2 years ago

5 0

Answer:

72 boys

Step-by-step explanation:

I got this right in a test hope this helps!!!

Rufina [12.5K]2 years ago

3 0

Answer:72 are boys.

Step-by-step explanation:

40%of 180 is 72.

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Kylie borrowed a book from the library the library charge to fix rental for the book in late fee for every day the book was over

irinina [24]

Answer:

B. The fixed rental for the book

Step-by-step explanation:

Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date:

2 + 0.25x

What does the constant term of the expression represent? (1 point)

A. The late fee for the book

B. The fixed rental for the book

C. The number of books borrowed

D. The number of days the book was overdue

Solution

Given expression

2 + 0.25x

The constant term is 2 which represent the fixed rental fee for the book

The term 0.25x represent the amount charged for late fee for x days

$0.25 is charge per day after due date

x = number of due date

6 0

3 years ago

Evaluate a+b for a=-17 and b=8

In-s [12.5K]

25

substitute 17 for A

substitute 8 for B

should look like this

17+8

then add

should look like this

17+8=25

8 0

2 years ago

A slitter assembly contains 48 blades. Five blades are selected at random and evaluated each day of sharpness. If any dull blade

Alex73 [517]

Answer:

Part a

The probability that assembly is replaced the first day is 0.7069.

Part b

The probability that assembly is replaced no replaced until the third day of evaluation is 0.0607.

Part c

The probability that the assembly is not replaced until the third day of evaluation is 0.2811.

Step-by-step explanation:

Hypergeometric Distribution: A random variable x that represents number of success of the n trails without replacement and M represents number of success of the N trails without replacement is termed as the hypergeometric distribution. Moreover, it consists of fixed number of trails and also the two possible outcomes for each trail.

It occurs when there is finite population and samples are taken without replacement.

The probability distribution of the hyper geometric is,

$P(x,N,n,M)=\frac{(\limits^M_x)(\imits^{N-M}_{n-x})}{(\limits^N_n)}$

Here x is the success in the sample of n trails, N represents the total population, n represents the random sample from the total population and M represents the success in the population.

Probability that at least one of the trail is succeed is,

$P(x\geq1)=1-P(x$

(a)

Compute the probability that the assembly is replaced the first day.

From the given information,

Let x be number of blades dull in the assembly are replaced.

Total number of blades in the assembly N = 48.

Number of blades selected at random from the assembly n= 5

Number of blades in an assembly dull is M = 10.

The probability mass function is,

$P(X=x)=\frac{[\limits^M_x][\limits^{N-M}_{n-x}]}{[\limits^N_n]};x=0,1,2,...,n\\\\=\frac{[\limits^{10}_x][\limits^{48-10}_{5-x}]}{[\limits^{48}_5]}$

The probability that assembly is replaced the first day means the probability that at least one blade is dull is,

$P(x\geq 1)=1- P(x$

(b)

From the given information,

Let x be number of blades dull in the assembly are replaced.

Total number of blades in the assembly N = 48

Number of blades selected at random from the assembly N = 5

Number of blades in an assembly dull is M = 10

From the information,

The probability that assembly is replaced (P) is 0.7069.

The probability that assembly is not replaced is (Q) is,

$q=1-p\\= 1-0.7069= 0.2931$

The geometric probability mass function is,

$P(X = x)= q^{x-1} p; x =1,2,....=(0.2931)^{x-1}(0.7069)$

The probability that assembly is replaced no replaced until the third day of evaluation is,

$P(X = 3)=(0.2931)^{3-1}(0.7069)\\=(0.2931)^2(0.7069)= 0.0607$

(c)

From the given information,

Let x be number of blades dull in the assembly are replaced.

Total number of blades in the assembly N = 48

Number of blades selected at random from the assembly n = 5

Suppose that on the first day of the evaluation two of the blades are dull then the probability that the assembly is not replaced is,

Here, number of blades in an assembly dull is M = 2.

$P(x=0)=\frac{(\limits^2_0)(\limits^{48-2}_{5-0})}{\limits^{48}_5}\\\\=\frac{(\limits^{46}_5)}{(\limits^{48}_5)}\\\\= 0.8005$

Suppose that on the second day of the evaluation six of the blades are dull then the probability that the assembly is not replaced is,

Here, number of blades in an assembly dull is M = 6.

$P(x=0)=\frac{(\limits^6_0)(\limits^{48-6}_{5-0})}{(\limits^{48}_5)}\\\\=\frac{(\limits^{42}_5}{(\limits^{48}_5)}\\\\= 0.4968$

Suppose that on the third day of the evaluation ten of the blades are dull then the probability that the assembly is not replaced is,

Here, number of blades in an assembly dull is M

= 10.

$P(x\geq 1)=1- P(x$

The probability that the assembly is not replaced until the third day of evaluation is,

P(The assembly is not replaced until the third day)=P(The assembly is not replaced first day) x P(The assembly is not replaced second day) x P(The assembly is replaced third day)

=(0.8005)(0.4968)(0.7069)= 0.2811

5 0

3 years ago

Kia purchased 3 pounds of grapes and spent $11.63 on other items. She spent a total of $20. She used the following steps to find

Maurinko [17]

3x + 11.63 = 20
3x + 11.63 - 11.63 = 20 - 11.63
3x = 8.37

by subtracting the 11.63 from both sides, this tells us how much the grapes cost....not per lb., but for the total of all the grapes.

7 0

3 years ago

O,my god if you do this 2 pages I will be done with my homework

katovenus [111]

Answer:

1. 8% of 50 is 4

2. 95% of 40 is 38

3. 42% of 263 is 110.46

4. 110% of 70 is 77

5. 115% of 20 is 23

6. 130% of 78 is 101.4

7. 6.5% of 50 is 3.25

37. 15% of 50 is 7.5

38. 5% of 19 is 0.95

39. 8% of 275 is 22

I hope this helps! Can I plz have a Brainliest??

Step-by-step explanation:

6 0

2 years ago