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ivolga24 [154]
3 years ago
7

If a seed is planted, it has a 60% chance of growing into a healthy plant.

Mathematics
1 answer:
Svetach [21]3 years ago
6 0

Answer:

0.0016

Step-by-step explanation:

let p = growth probability = 60/100 = 0.6

q = probability of not growing = 1-0.6 = 0.4

Bernoulli equation is used to finish the probability

if exactly one grows, then 9 does not grow

That would be;

P(x = 1) = 10C1 p^1 q^9

= 10 * 0.6^1 * 0.4^9 = 0.001572864 = 0.0016 to 4 d.p

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The following data on average daily hotel room rate and amount spent on entertainment (The Wall Street Journal, August 18, 2011)
Zielflug [23.3K]

Answer:

a. Predicted Amount = $109.46

b. Confidence Interval = (94.84,124.08)

c. Interval = (110.6883,188.8517)

Step-by-step explanation:

Given

ŷ = 17.49 + 1.0334x.

SSE = 1541.4

a.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46 --- Approximated

Predicted Amount = $109.46

b.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46

First we calculate the standard deviation

variance = SSE/(n-2)

v = 1541.4/(9-2)

v = 1541.4/7

v = 220.2

s = √v

s = √220.2

s = 14.839

Then we calculate mean(x) and ∑(x - (mean(x))²

X --- Y -- Mean(x) --- ∑(x - (mean(x))²

148 -- 161 -- 43-- 1849

96 || 105|| -9 || 81

91 ||101 || -14 || 196

110 || 142 || 5 || 25

90 || 100 || -15 || 225

102 || ||120 ||-3|| 9

136 || 167 ||31 ||961

90 || 140 ||-15 ||225

82 || 98 ||-23 || 529

Sum 945 || 1134|| 0 ||4100

Mean (x) = 945/9 = 105

∑(x - (mean(x))² = 4100

α = 1 - 95% = 5%

α/2 = 2.5% = 0.025

tα,df = n − 2 = t0.025,7 =2.365

Confidence interval = 109.46 ± 2.365 * 14.839 √((1/9)+ (89-105)²/4100

Confidence Interval = (109.46 ± 14.62)

Confidence Interval = (94.84,124.08)

c.

ŷ = 17.49 + 1.0334(128)

ŷ = 149.7652

ŷ = 149.77

Interval = 149.77 ± 2.365 * 14.839 √((1/9)+ (128-105)²/4100

Interval = 149.77 ± 39.0817

Interval = (110.6883,188.8517)

3 0
3 years ago
Solve for m -7/9 m = 11/6
maria [59]

Answer:

19/18

Step-by-step explanation:

substitute the value of m(11/6) in m-7/9

which is equal to 11/6 -7/9 =19/18

7 0
2 years ago
Read 2 more answers
Does (9,8) make the inequality y < 10×+8 true
ExtremeBDS [4]

Answer:

Yes, the point makes the inequality true

Step-by-step explanation:

y < 10x+8

Substitute x =9 and y=8 into the inequality

8 < 10*9+8

8<90+8

8<98

This is true so the point makes the inequality true

7 0
3 years ago
Read 2 more answers
Need help graphing these 8x + y = 4<br> x+y= -3
Tomtit [17]

Answer:

y=-8x+4

y=-x-3

Step-by-step explanation:

for the first one start at 4 on the y-axis, then go down 8 and right 1

and for the second one start on negative 3 on the y-axis, then go down one and right one.

hope this helps

5 0
3 years ago
Kira, David, and Lamar served a total of 71 orders Monday at the school cafeteria. David served 9 fewer orders than Kira. Lamar
CaHeK987 [17]

Answer:

lamar served 40

kira served 20

david served

i just spent like 15 minutes trying to figure this out and when i finally got it i was so mad because it was such a simple error i was making

Step-by-step explanation:

3 0
3 years ago
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