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Brums [2.3K]
3 years ago
8

If a seed is planted, it has a 75% chance of growing into a healthy plant.

Mathematics
1 answer:
Elan Coil [88]3 years ago
6 0

Answer:

9.72405%

Step-by-step explanation:

Binomial Probability

(N choose k) p^k (1-p)^(n-k)

N=7  seeds planted

p= 100% - 70% = 30% = 0.3 <--- we are interested in the plant NOT growing

(1-p) = 70% = 0.7  <--- 70% chance the plant will survive and grow

k=4  <--- we want four of them to fail

The probability is:

 (7 choose 4) * (0.3)^4  (0.7)^3 =

 7!/(4!3!) (0.3)^4 (0.7)^3  =

 (7*6*5/3*2) (0.3)^4 (0.7)^3 =

 7*5 (0.3)^4 (0.7)^3 =

 35 * 0.0081 * 0.343 = 0.0972405 = 9.72405%

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(n3) (n7) = (n)21<br> A. True<br> B. False
OLEGan [10]

Answer:

False

Step-by-step explanation:

When multiplying two exponential numbers you add their powers together : (n3)(n7) = n10

so the expression is false

7 0
3 years ago
Two fewer than a doubled number is the same as the number decreased by 38. Find the number. If n is "the number," which equation
Lunna [17]

Answer: n=-36

Step-by-step explanation:

Let the number be n

2 fewer than a doubled number can be written as 2n-2

The number decrease by 38,can be written as n-38

Equate both

2n-2=n-38

Collect like terms

2n-n=-38+2

n=-36

The number is -36

6 0
2 years ago
The table below shows the earnings, in thousands of dollars, for three different commissioned employees. $2,000 + 3% on all sale
Vinvika [58]
The salary plus commission employee earned $3,500 in January. Let his amount of sales for the month of January be x, then $2,000 + 3% of x = $3,500. 0.03x = $3,500 - $2,000 = $1,500 x = $1,500 / 0.03 = $50,000 The straight commission employee earned $3,850 in January. Let his amount of sales for the month of January be y, then 7% of y = $3,850. 0.07y = $3,850 y = $3,850 / 0.07 = $55,000 The graduated commission employee earned $3,600 in January. Let his amount of sales for the month of January be z, then 5% of $40,000 + 8% of z = $3,600. 0.05 x 40,000 + 0.08z = $3,600 $2,000 + 0.08z = $3,600 0.08z = $3,600 - $2,000 = $1,600 z = $1,600 / 0.08 = $20,000 Total sales for the graduated commission employee<span> = $40,000 + $20,000 = $60,000 Therefore, the graduated commission employee had the largest dollar amount in sales of $60,000 for the month of January</span>
7 0
3 years ago
Read 2 more answers
A company is going to make a storage container with sheet steel walls The container will be in the shape of a rectangular prism
EleoNora [17]

Answer:

3060

Step-by-step explanation:

First we need to calculate the total surface area of the prism

TSA  = 2(lw+wh+lh)

l is the length of the prism

w is the width of the prism

h is the height of the prism

Let

L = 7m

W = 3m

H = 3m

Substitute

TSA = 2(7(3)+3(3)+7(3))

TSA = 2(21+9+21)

TSA = 2(30+21)

TSA  = 2(51)

TSA  = 102m²

Hence the total surface area of the prism is 102m²

Since sheet steel costs 30 for each square meter, then;

1m² = 30

102m² = x

Cross multiply

x = 30*102

x = 3060

Hence the sheet with the dimension will cost 3060

3 0
2 years ago
What are the square roots of -8-6i?<br>Thanks!​
ira [324]

Answer:

1-3i

Step-by-step explanation:

√ -8-6i  = 1-3i

(1-3i)  x  (1-3i) = -8-6i

6 0
3 years ago
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