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Novay_Z [31]
2 years ago
10

Camille's Seed Haven claims that 90% of its sunflower seeds will germinate. Suppose the company's claim is true. Seth buys a pac

ket with 30 sunflower seeds from Camille's Seed Haven and plants them in his garden. What is the probability that exactly 23 seeds will germinate?
A. 0.9820
B. 0.0258
C. 0.0180
D. 0.9742
E. 0.9922
Mathematics
1 answer:
bearhunter [10]2 years ago
6 0

Answer: C. 0.0180

Step-by-step explanation:

Let x be the binomial variable that represents the number of seeds will germinate with parameter

n= 30 (Number of trials)

p=0.90  (Probability of success in each event)

Binomial probability formula :

Probability of getting success in x trials : P(X=x)=^nC_xp^x(1-p)^{n-x}

For x= 23 , we have

P(X=23)=^{30}C_{23}(0.90)^{23}(0.10)^{7}\\\\=\dfrac{30!}{23!(30-23)!}(0.90)^{23}(0.10)^7

Simplify

P(x=23)=0.018043169424\approx0.0180

Hence, the probability that exactly 23 seeds will germinate = 0.0180

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Triangle G F E is cut by line segment H J. Line segment H J goes from side G E to F E. The length of G F is 4 x minus 4, the len
alexira [117]

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

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

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

5 0
1 year ago
You have five pieces of wood. The lengths of these are shown below.
Deffense [45]

Answer:

1,249 cm or 12.49

Whichever one it asks for

Step-by-step explanation:

First, we need to convert all of the m to cm.

4.04 m = 404 cm

1.6 m = 160 cm

2.87 m = 287 cm

Next, add them all up.

325 + 404 + 73 + 160 + 287 =

1,249 cm

If it asks to convert to m again, then the answer would be 12.49 m

Hope this helps!!!

3 0
2 years ago
Read 2 more answers
Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red br
Alekssandra [29.7K]

It is given in the question that

Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red bricks cost $0.58 each. She can spend up to $200 on her project, and wants the number of red bricks to be less than half the number of gray bricks.

Maximum she can spend is $200. That is

0.45x + 0.58y \leq 200&#10;\\  y< \frac{1}{2} x

And

x\geq 0 , y \geq 0

And that's the required inequalities .

7 0
2 years ago
A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget
Mnenie [13.5K]
         Mr. Valentino can`t go over his budget of $25. The amount of money times the amount of boxes needs to be less than or equal to $25:
         Answer: A ) $1.75 x  ≤ $25,
         where x is the amount of boxes he bought.
4 0
2 years ago
Read 2 more answers
Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10
charle [14.2K]

Answer:

Maximum number of long sleeved shirt that can be purchase is, 8

and

Minimum number of long sleeved shirt that can be purchased is, 0

Step-by-step explanation:

let y represents the number of short sleeves  and x represents the number of long sleeves.

As per the given condition:

Members of a school club are buying matching shirts. They know at least 25 members will get a shirt.

we have;

x+y\geq 25              or

y\geq 25 -x    ....[1]

Since, long sleeves shirt are $ 10 each and short sleeves shirt are $ 5 each.

then;

Total cost of long sleeves is 10x and

the total cost of short sleeves is 5y

Also; the club can spend no more than $ 165

then;

10x+5y\leq 165                  

 5y\leq 165 -10x or

y\leq 33-2x ......[2]

Solving the inequality equation with the graph :

Plot equation [1] and [2]; we get the maximum at point (8 , 17)

so, x= 8.

If we take minimum value of x =0 then y is between 25 and 33.

so, the solution area is between the lines to the left of where the lines intersect.

Therefore, the maximum number of long sleeved shirts can be purchased is 8 and the minimum number of long sleeved shirt can be purchased is 0






6 0
2 years ago
Read 2 more answers
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