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
Harman [31]
2 years ago
9

Choose the best answer:

Mathematics
2 answers:
slavikrds [6]2 years ago
8 0

Answer:

C. 2 square root of 13

Step-by-step explanation:

The area of a right triangle is base times height divided by 2.

In this case, the legs are the base and the height. They gave the ratio as 2 to 3 so by using simple trial and error you can calculate that the legs are 4 and 6 inches long and you can check to make sure that the area matches, and it does!

Now using the Pythagorean theorem a^2 + b^2 = c^2 for right triangles we can find that the length of the hypotenuse, or c, is the square root of 52, by using factorization that will simplify to: 2 square root of 13.

g100num [7]2 years ago
7 0

Answer:

e

Step-by-step explanation:

You might be interested in
A company is in the business of finding addresses of long-lost friends. The company claims to have a 70% success rate. Suppose t
Galina-37 [17]

Answer:

a) Figure attached

b) E(X) =\mu= np = 9*0.7=6.3

Sd(X) =\sigma= \sqrt{np(1-p)}= \sqrt{9*0.7*(1-0.7)}=1.375

c) For the case n= 6

P(X \leq 2) = 0.9891

For the case n= 5

P(X \leq 2) = 0.9692

So then we need at least  n=5 or n=6 to satisfy the condition required.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=9, p=0.7)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

For this case we can use the following R code:

> x <- seq(0,9,by = 1)

> y <- dbinom(x,9,0.7)

> plot(x,y,main="Histogram",type = "h")

And we can see on the figure attached the solution.

We see that the higher probabilities are from 4 to 9

Part b

The expected value is given by:

E(X) =\mu= np = 9*0.7=6.3

The variance is given by:

Var (X) =\sigma^2= np(1-p) = 9*0.7*(1-0.7)= 1.89

And the standard deviation is:

Sd(X) =\sigma= \sqrt{np(1-p)}= \sqrt{9*0.7*(1-0.7)}=1.375

Part c

First we can find the probability that at least two addresses will be found in the list of 9 that we have like this:

P(X \geq 2)

We can use the complement rule and we have:

P(X \geq 2) = 1-P(X

We find the indicidual probabilities:

P(X=0)=(9C0)(0.7)^0 (1-0.7)^{9-0}=0.00001968

P(X=1)=(9C1)(0.7)^1 (1-0.7)^{9-1}=0.000413

P(X \geq 2) = 1-[0.00001968+0.000413]=0.9996

If we use the case of n=8 and we find P(X\leq 2), we got:

P(X \leq 2) = 0.9987

For the case n= 7

P(X \leq 2) = 0.9962

For the case n= 6

P(X \leq 2) = 0.9891

For the case n= 5

P(X \leq 2) = 0.9692

So then we need at least  n=5 or n=6 to satisfy the condition required.

5 0
3 years ago
An arithmetic sequence is shown below. You are not given many terms of this sequence, but you do have enough to fill in the miss
kicyunya [14]

Answer:

B.35

Step-by-step explanation:

The sequence is

14, ,56,....

14 , x , 56

Think of it as 14 + d = x

x+ d = 56

d is the common difference

We now have 2 equations and 2 unknowns

Substitute the first equation in for x   into the second equation

x+d =56

(14+d) +d = 56

Combine like terms

14 + 2d = 56

Subtract 14 from each side

14-14 + 2d = 56-14

2d = 42

Divide by 2

2d/2 =42/2

d = 21

The common difference is 21

Now we can find x

14 + d = x

14+ 21 = x

35 =x

The unknown term is 35

5 0
3 years ago
The sum of a number and 4 is equal to -43. Find the number
Artist 52 [7]

Answer:

the number is -47..

Step-by-step explanation:

let the number be'x'

  • x+4= -43
  • x= -43-4
  • x= -47

hope it helps.

<h2>stay safe healthy and happy.</h2>
4 0
3 years ago
Read 2 more answers
Can someone help me with this
Jobisdone [24]
9+7=16 and 5+8=13
Hope i helped, please leave a thanks! Thanks!
5 0
3 years ago
What are the measures of Angles a, b, and c? Show your work and explain your answers.
labwork [276]
∠a is 35° because of vertical angle congruence. ∠b is 55° because one angle is right, so the other two have to add up to 90°, and 90°-35°=55°. ∠c is 110° because it creates a straight angle (180°) with the 70° angle, and 180°-70°=110°.
7 0
3 years ago
Other questions:
  • What is square root of 1/25
    15·1 answer
  • 1. = 6 × 573 = 6 × (_____ + 70 + _____) = (_____ × ____) +(6×70) +(____×_____) =_______+420+___ =________ I will give you 11 poi
    8·1 answer
  • Find the value of x for which ABCD must be a parallelogram.
    14·1 answer
  • What is the volume of the cube below?<br> A. 4x2<br> B. 16<br> C. 4x<br> D. 16x2
    11·2 answers
  • 15. MODELING REAL LIFE You use a computer
    15·1 answer
  • An airplane is flying at an altitude of 3,000 ft. The pilot dives 988 feet and then rapidly climbs 748 feet. The pilot then dive
    9·1 answer
  • a spinner used for a game is divided into 4 sections yellow brown red and orange the spinner is spun 50 times and lands on brown
    7·2 answers
  • A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32
    13·1 answer
  • Mari and Rob are making a poster for the science fair. They need to figure out how much a rock that weighs 7 pounds on Earth wou
    9·1 answer
  • Ron earned $ 840 in a week . How much will he earn in 36 days
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!