1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yaroslaw [1]
3 years ago
15

A 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach

Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

8.06 feet

Step-by-step explanation:

use the Pythagorean theorem

9^2 = 4^2 + x^2

81 =16 +x^2

x^2 = 65

x = 8.06 feet

You might be interested in
(-33)+(-7)=
sasho [114]

Answer:

-40

-6

51

Step-by-step explanation:

-33+-7 you are adding two negatives

9+(-15) you are adding a negative to a positive which gets you closer to zero

5-(-46) you are subtracting a negative which is adding

7 0
3 years ago
A researcher plants 22 seedlings. After one month, independent of the other seedlings, each seedling has a probability of 0.08 o
Andrews [41]

Answer:

E(X₁)= 1.76

E(X₂)= 4.18

E(X₃)= 9.24

E(X₄)= 6.82

a. P(X₁=3, X₂=4, X₃=6;0.08,0.19,0.42)= 0.00022

b. P(X₁=5, X₂=5, X₄=7;0.08,0.19,0.31)= 0.000001

c. P(X₁≤2) = 0.7442

Step-by-step explanation:

Hello!

So that you can easily resolve this problem first determine your experiment and it's variables. In this case, you have 22 seedlings (n) planted and observe what happens with the after one month, each seedling independent of the others and has each leads to success for exactly one of four categories with a fixed success probability per category. This is a multinomial experiment so I'll separate them in 4 different variables with the corresponding probability of success for each one of them:

X₁: "The seedling is dead" p₁: 0.08

X₂: "The seedling exhibits slow growth" p₂: 0.19

X₃: "The seedling exhibits medium growth" p₃: 0.42

X₄: "The seedling exhibits strong growth" p₄:0.31

To calculate the expected number for each category (k) you need to use the formula:

E(XE(X_{k}) = n_{k} * p_{k}

So

E(X₁)= n*p₁ = 22*0.08 = 1.76

E(X₂)= n*p₂ = 22*0.19 = 4.18

E(X₃)= n*p₃ = 22*0.42 = 9.24

E(X₄)= n*p₄ = 22*0.31 = 6.82

Next, to calculate each probability you just use the corresponding probability of success of each category:

Formula: P(X₁, X₂,..., Xk) = \frac{n!}{X_{1}!X_{2}!...X_{k}!} * p_{1}^{X_{1}} * p_{2}^{X_{2}} *.....*p_{k}^{X_{k}}

a.

P(X₁=3, X₂=4, X₃=6;0.08,0.19,0.42)= \frac{22!}{3!4!6!} * 0.08^{3} * 0.19^{4} * 0.42^{6}\\ = 0.00022

b.

P(X₁=5, X₂=5, X₄=7;0.08,0.19,0.31)= \frac{22!}{5!5!7!} * 0.08^{5} * 0.19^{5} * 0.31^{7}\\ = 0.000001

c.

P(X₁≤2) = \frac{22!}{0!} * 0.08^{0} * (0.92)^{22} + \frac{22!}{1!} * 0.08^{1} * (0.92)^{21} + \frac{22!}{2!} * 0.08^{2} * (0.92)^{20} = 0.7442

I hope you have a SUPER day!

8 0
3 years ago
If you wanted to create a sidewalk from your front door to the street, how much cement would you need if your sidewalk were goin
jek_recluse [69]

It’s simple you just multiply all three numbers 20*3*4=240

6 0
3 years ago
HOw do you do this its very confusing
sesenic [268]

Answer:

Its Patrick

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the
dalvyx [7]

Answer:

4(3x+2), 4(3x)+4(2), 12x+8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP IM TAKING A TEST AND I DONT KNOW WHAT IM DOING!!!!
    12·1 answer
  • HELP PLEASE!!! I'm desperate! I don't understand.
    13·1 answer
  • The volume of the triangular prism is 54 cubic units.
    8·2 answers
  • 8-2x=-4x+4<br> answer help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • What is the value of x?
    11·2 answers
  • Solve the inequality for u.<br> 24 Simplify your answer as much as possible.
    8·1 answer
  • Help please!! and ty
    13·1 answer
  • PLEASE HELP!!!
    14·1 answer
  • Evaluate the expression 8-5xy^3 for x=3 and y = -2
    15·2 answers
  • A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!