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Ira Lisetskai [31]
3 years ago
7

For a school field trip, there must be 1 adult to accompany 12 students, 3 adults to accompany 36 students, and 5 adults to acco

mpany 60 students. Write the equation to determine the number of adults, y, needed to accompany x students
Mathematics
2 answers:
BARSIC [14]3 years ago
5 0
The answer is y=x/12
Anastasy [175]3 years ago
4 0
Y = 12x
students/adults equals 12 in the examples in the problem
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In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability th
MrRa [10]

Answer:

a) 0.984

b) 20 people

Step-by-step explanation:

a)

If The probability that a person carries the gene is 0.1, then in a sample of 20 people, 2 should carry the gene.

Now, we want to know how many samples there are with this property.

Since we have 20 elements where 18 are alike (do not carry the gene) and 2 are alike (carry the gene), we have to compute the number of permutations of 20 elements in which 18 are alike and 2 are alike. This number is

\frac{20!}{18!2!}=190

In this 190 20-tuples there are only 3 where the 2 carriers of the gene are in the first 3 places, namely

(1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

(0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)

where 1=carries the gene, 0=does not carry the gene.

So there are 190-3 = 187 elements in which the first 3 elements have no 2 carriers, hence the probability that 4 or more people will have to be tested until 2 of them with the gene are detected is 187/190 = 0.984 (98.4%) rounded to three decimal places.

b)

Given that the probability that a person carries the gene is 0.1, then in a sample of 20 people, 20*0.1 = 2 should carry the gene.

4 0
3 years ago
TWO QUESTIONS PLS HELP ASAP
ASHA 777 [7]
Answer: 4. (-1,-1) 3. (3,-2)

4)

Set the equations equal to each other.

4x+3=-x-2

Subtract 3 from both sides

4x=-x-5

Add x to both sides

5x=-5

Divide both sides by 5

x=-1

Next, replace x with -1 in either equation to find y.

-(-1)-2=y

-1=y


3)

Do the same thing for this one and set them equal to each other

-2x+4=-1/3x-1

Add 1 to both sides

-2x+5=-1/3x

Add 2x to both sides

5=5/3x

Divide both sides by 5/3

x=3

Next, replace x with 3 in either equation

-2(3)+4=y

-2=y




4 0
3 years ago
Jim is working at a restaurant. His first table ordered 4 sodas and 4 baskets of fries for $16.00. His second table ordered 4 so
PtichkaEL [24]

Answer:

the price of each soda is $1.75

Step-by-step explanation:

Notice that there are two unknowns; the price of each soda  (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)

We can then write two equations using the information on the total price for each order:

(a)    4 s + 4 b = 16

(b)   4 s + 3 b = 13.75

we can now subtract term by term equation (b) from equation (a), and obtain:

4 s - 4 s + 4 b - 3 b =  16 - 13.75

0 + b = 2.25

So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:

4 s + 4 (2.25) = 16

4 s + 9 = 16

4 s = 16 - 9

4 s = 7

s = 7/4

s = 1.75

So, the price of each soda is $1.75

5 0
3 years ago
Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the
MArishka [77]

Answer:

b=0

Step-by-step explanation:

y=mx+b

(0,0) means x=0 and y=o

m=2

Make b the subject of formula

b=y-mx

b=0-2(0)

b=0-0

b=0

Therefore,0=2(0)+0

=0

Therefore the equation of the slope is 0

4 0
3 years ago
Could someone please help me with this problem.
lana66690 [7]
Z = 72
y = 106

hope it helps
5 0
3 years ago
Read 2 more answers
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