A new variety of turf grass developed for use on golf courses is claimed to have a germination rate of 85%. To evaluate this claim, 100 seeds are randomly selected and planted in a greenhouse so that they are exposed to identical conditions. If the germination rate is 85% as claimed. What represents the approximate probability that 92 seeds or more will germinate?

Answers

Answer 1

Answer:

Probability = 0.01531

Step-by-step explanation:

Prob (Getting 92 out of 100 germinated seeds) follows binomial probability distribution.

N = Number of seeds = 100. r = Number of success (germination) = 92

r = No. Success = Seed germination, Prob (Success) ie P = 85% =  0.85 , Prob (non success ie non germination) ie Q = 1 - 85% = 15% = 0.15

Probability = N c r . (P)^r . (Q)^(n-r)  

= 100c92 (0.85)^92  (0.15)^8

=  186087894300 (0.000000321026708) (0.000000256289062)

= 0.01531 {Approx}


Related Questions

write the equation for a parabola with a focus at (-3,-5) and a directrix at x=-7

x=​

Answers

Answer:

hope this helps

Step-by-step explanation:

equation for a parabola is:

What is parabola?

The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.

Given: focus= (3,-5), directrix at x =-7.

To find equation of parabola we will use distance formula,

√(x+7)²=√(x+3)² + (y+5)²

(x+7)²=(x+3)² + (y+5)²

x²+14x+49= x²+9+6x + (y+5)²

8x + 40 = (y+5)²

x= (y+5)²/8 -5

Hence, the equation of parabola is x= (y+5)²/8 -5

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Simplify the expression by combining like terms.
Write the terms from the highest to the lowest
power of the variable.
-9x^2 + 19x - 9x + 6 - 17x^2 + 25 + 10x^2 + 3x

Answers

Answer:

The answer: is 118

I hope this help you enjoy :D

Step-by-step explanation:

Graph the function defined by the parametric equations x = 2t3 – 3t and y = -2t2 – 1 over the parameter
-2 < t < 2.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator does this nicely.

Which number line shows the solution of -3x + 6 > 12

Answers

Answer:

x < -2

Step-by-step explanation:

subtract 6 from each side

-3x > 6

divide both sides by -3

x < -2

(with inequalities you must flip the sign if you divide by a negative number)

increased in price by 1/4. After the increase it was priced at £85 what was the original price of the tshirt?​

Answers

Answer: £63.75

Explanation: divide £85 by 4. each part is equal to £21.25. subtract £21.25 from £85 and the original price is £63.75

1.) Apply the distributive property and simplify the expression : 4(2x + y)
Your answer

Answers

Answer:

8x + 28

Step-by-step explanation:

The table below represent a linear relationship between x and Y. Which statement correctly compares the rate of change of the values in the table with the rate of change of the equation Y=2X+107?

Answers

Answer:

c. the rate of change in the table is greater than the rate of change of y=2x+10

Step-by-step explanation:

rate of change in table is 3x and the given one is 2x

Answer:

c. the rate of change in the table is greater than the rate of change of y=2x+10

Step-by-step explanation:

rate of change in table is 3x and the given one is 2x

the spinner below is spun twice. What is the probability of the arrow landing on a 3 and then an odd number?

Please help​

Answers

Answer:

4/3

Step-by-step explanation:

(x-4)2 + 3x at the value x = 7

Answers

Answer:

30

Step-by-step explanation:

x = 7

( x - 4 )^2 + 3x

= ( 7 - 4 )^2 + 3 ( 7 )

= 3^2 + 21

= 9 + 21

= 30

Answer:

The answer is 27

Step-by-step explanation:

(X-4)2 + 3x

x is equal to 7

first substitute the values.

(7-4)2 + 3 x 7

solve-

(3)2 + 21

=27

Assume a bank loan requires an interest payment of $85 per year and a principal payment of $1,000 at the end of the loan's eight-year life. What would be the present value of this loan if it carried an 8.5 percent interest rate?

Answers

Answer:

the answer 57.8

85 x 8 x 8.5% = 57.8

Step-by-step explanation:

brainliest pls

Can someone please help me I will mark u brilliant for both

Answers

For the first question, y = 1/2
For the second question, x = 4

Answer:

1. 1/2

2. 4

Step-by-step explanation:

2. 14x = 56

56 / 14

x = 4

PLS HURRY. WILL MARK BRAINLEST!!!! JWKSNWN PLEASE I NEED IT!!

Answers

Answer:

B

Step-by-step explanation:

Mark me brainliest PLZ

PLEASE HELP
Select the correct answer from each drop-down menu.
8 cm
4 cm
9 cm
3 cm
3 cm
6 cm
The given composite shape has an area of
cm² and a perimeter of
cm.

Answers

Answers:

Area = 78 cm^2

Perimeter = 42 cm

============================================================

Explanation:

Refer to the diagram below.

I've added points and labels, along with the dashed lines to break up the figure into three rectangles. The points in blue are the corner points of the original figure. The red points help set up the dashed lines.

Along the very top, we have BC = 8 cm, which breaks down into BK = 6 and KC = 2. Opposite of side KC is GJ = 2. For any rectangle, the opposite sides are always the same length.

Side AB = 9 cm. The three vertical sides of CD, EF, and GH all must add to get 9 cm in total, since the right side is the same height as the left side. We are given that EF = 3 and GH = 3, which must mean CD = 3 as well.

Through similar logic, the sides BC = 8 and DE = 4 add to 8+4 = 12 cm total. This total distance across the top must match the total distance along the bottom; i.e. the bottom horizontal sides of AH and GF must add to 12 as well. We are given AH = 6, so GF = 6 also.

Recall earlier we found GJ = 2. If GF = 6, then that leads to JF = 4.

In other words, GJ+JF = 2+4 = 6 = GF.

All of this is visually shown in the diagram shown below.

Once you have the diagram set up as shown, it's fairly straight forward from here. Compute the area of each of the three smaller rectangles and then add up those smaller areas to get the overall area.

I'll work from left to right to find the areas:

Rectangle ABKH has area of 9*6 = 54 cm^2Rectangle GKCJ has area 6*2 = 12 cm^2Rectangle JDEF has area 3*4 = 12 cm^2

The total area of the composite figure is therefore: 54+12+12 = 78 cm^2

---------------------------

The perimeter is the sum of all the external sides. We'll ignore the dashed lines as they are not exterior segments.

perimeter = sum of exterior sides

perimeter = AB+BC+CD+DE+EF+FG+GH+HA

perimeter = 9+8+3+4+3+6+3+6

perimeter = 42 cm

Notes:

To keep things organized, I'm working clockwise when going from AB to BC to CD etcThere are a total of 8 exterior sides being added up to get the perimeter.

A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4 dots above 4, 1 dot above 5, and 1 dot above 6. What is a dot plot and how do you read it? Check all that apply. A dot plot is a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. 3 students spent 4 hours on homework. 5 students spent 2 hours on homework. Dot plots show the distribution of the data. Students spent 1 to 6 hours on homework.

Answers

This is more than one question.

Evaluate each series.
50 points and brainless!

Answers

Answer:

Sum of n terms of a GP:

Sₙ = a₁(rⁿ - 1)/(r - 1)

#1

a₁ = 5r = 2n = 9S₉ = 5(2⁹ - 1)/(2 - 1) = 5(511) = 2555

Correct choice is C

-----------------------------

#2

a₁ = 12r = 1/2n = 5S₅ = 12(1 - (1/2)⁵)/(1 - 1/2) = 12(31/32)/(1/2) = 23.25

Correct choice is A

What is the measure of angle L

Answers

Answer:

90-15 and you have your answer

Answer:

75

Step-by-step explanation: it is a right angle so you do 90-15 which is 75 degrees.

WHATS THE ANSWER? MULTIPLE CHOICE 50 PTS

Answers

Answer:

D

Step-by-step explanation:

Seventeen less than p infers that the number is p minus 17. This number is then divided by 8, which requires us to put parenthesis in order to properly divide the number after doing p - 17

Please give brainliest thank you

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

The quotient when 17 less than p is divided by 8.

Well, let's first take 17 less than p. That'll be :-

[tex] \sf \: p - 17[/tex]

Note :- 'p' comes first as the question has the words - less than p.

Now, we have the remaining -> 'is divided by 8'.

The equation will become :-

[tex] \sf \:( p - 17) \div 8[/tex]

Note :- We have put the bracket because they have asked the quotient. To form a quotient you need 2 numbers - a divisor & a dividend. Hence, 2 numbers -> (p - 17) & 8.

So, Option D [tex]\boxed{\underline{\bf \: (p-17)÷8}}[/tex] is the correct answer.

________

Hope it helps.

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

HELP ASAP I WILL GIVE BRAINIEST AND 100 POINTS PLEASEE

Answers

Answer:

What are the options tho?

Step-by-step explanation:

Answer:

1/10?

Step-by-step explanation:

total:250

red:25

25/250 simplified=1/10

plzzzzzz help for a brainly

Answers

The answer would be B

Marlon's Cat will be having four kittens. Marlon Performs a simulation by tossing a coin to model whether these kittens will be male or female. Let heads (H)= female kittens and Let tails (T) = male kitten

Answers

Answer:

20

Step-by-step explanation:

Answer:

2/10 = 20%

Step-by-step explanation:

Round the number 246.13687 to the nearest thousandth

Answers

Answer:

246.137

Step-by-step explanation:

246.13687 ≈ 246.137 (rounded to the nearest thousandth)

PLEASE HELP!!! WILL MARK BRAINLIEST!!!
What is the explicit rule for the sequence?
- 114, -109, -104, -99,

An= -5n - 109
An= -5n - 119
An= 5n - 119
An= 5n - 109

Answers

Answer:

5n - 119

Step-by-step explanation:

First, we notice that the sequence is going up by 5, so we could rule out 2 answers: -5n - 109, and -5n -119 (They go by -5). Then all we have to find is the  constant, -119 or -109. Well we could rule out -109 because -114 is included in the sequence, and if we start by -109 and start counting up, we will never get to -114. So, the solution is 5n - 119

We have been given that - 114, -109, -104, -99. the explicit rule for the sequence is 5n - 119.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is

[tex]T_n = a + (n-1)d[/tex]

(for all positive integer values of n)

And thus, the common difference is

[tex]T_{n+1} - T_n[/tex]

for all positive integer values of n

We have been given that

- 114, -109, -104, -99,

a = -114

[tex]T_n = a + (n-1)d[/tex]

T = -114 + (n - 1)5

T = 5n - 119

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For what values of X are the statements below true
A. 1x>x+1
B. |1-x| > 3
C.|x-15| < 0

Answers

Answer:

See solutions below

Step-by-step explanation:

For what values of X are the statements below true

A. 1x>x+1

x >x+1

x-x>1

0x > 1

x > 1/0

X >∞

B) |1-x|>3

The fucntion can both be positive and negative

For the negative function

-(1-x) > 3

-1+x > 3

x > 3+1

x > 4

For the positive function

1-x > 3

-x > 3 - 1

-x > 2

x < -2

Hence the required solutions are x > 4 and x < -2

c) For the equation

|x-15| < 0

-(x - 15) < 0

-x + 15 < 0

-x < -15

x > 15

Also x-15 < 0

x < 0+15

x < 15

Hence the required solution is x > 15 and x < 15

Given g(x) = -2 – 5, find g(1).

Answers

Answer:

-7

Step-by-step explanation:

There's no "x" in the equation, so there's nothing to plug in.  I don't know if you just forgot to type it, but for all numbers, it's gonna equal -7.  Even if there was an x, it would still equal -7.

A motorcycle can go 40 miles using one gallon of gas. About how many gallons of gas will be used to go 325 kilometers?

Answers

Answer:

5.025 gallons

Step-by-step explanation:

Step 1: Convert 325 kilometers to miles

[tex]325 = 201[/tex]

Step 2: Set up a fraction

[tex]\frac{40}{1}=\frac{201}{x}[/tex]

Step 3: Cross multiply

[tex]40 \times x = 40\\\\201 \times 1 = 201[/tex]

Step 4: Divide the values left

[tex]201 \div 40\\\\= \frac{201}{40}\\\\= 5.025[/tex]

Therefore, about 5.025 gallons of gas will be used to go 325 kilometers.

What is the spread of the data in the dot plot?
Number of Apples in Each Bag
10
11
12
13
14
15
from 0 to 5
Ofrom 10 to 15
ОООО
O from 12 to 15
O from 0 to 6

Answers

Answer:

from 10 to 15

Step-by-step explanation:

because when your finding the spread you take the highest and lowest number.

from 10-15 bc it’s your highest and your lowest

83 less than triple m

Answers

Answer:

3m-83

Step-by-step explanation:

Okay, so first, you'd like to triple m. This would mean that it would be m+m+m, which is also 3m. Next you have to subtract 83. This would make it 3m-83.

Hope this helped!! :D

If you have any questions, let me know!

Please help!! Timed assignment

Arrange the figures in increasing order of their volumes. Use Pi =22/7

Answers

Answer:

see the list below

Step-by-step explanation:

did all the formulas for each and I believe the order is from (smallest to biggest)

1. The half sphere or hemisphere (3rd in the picture)

2.The pyramid

3.slanted cone

4.cone

5.slanted cylinder

6.and finally the cylinder

HELP ASAP WILL GIVE MOST BRANILIST

Answers

The line fills three boxes before hitting a corner so I believe it is 1/3
3/1 because it’s up 3 and over 1

A manufacturing manager reports to the CEO that 5% of products that come off the assembly line are defective. A study is performed to investigate this claim. In a random sample of 250 products that come off the assembly line, 14 are found to be defective. The CEO wants to know if the data provide convincing evidence that the true proportion of defective products differs from 0.05. Are the conditions for inference met?

Yes, the conditions for inference are met.
No, the 10% condition is not met.
No, the Large Counts Condition is not met.
No, the randomness condition is not met.

Answers

Answer:Yes, the conditions for inference are met

Step-by-step explanation:

I took the test edge 2020

Answer:Yes, the conditions for inference are met.

Step-by-step explanation:

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