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
Korvikt [17]
3 years ago
9

Two consecutive positive numberside are such that the sum of their squares is 113. Find the two numbers

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0

the two consecutive numbers are 56 and 57

x+x+1=113

2x+1=113

2x=113-1

2x=112

x=112/2

x=56

therefore, x=56

x+1= 56+1= 57


You might be interested in
Pls helppp me with this!!
zepelin [54]

Answer:4

Step-by-step explanation: Because 4 goes in 3/4 better and more eqvilent to that answer.

7 0
2 years ago
Read 2 more answers
A baseball player throws a ball from second base to home plate. How far does the player throw the ball?
Fynjy0 [20]

Answer:

The player throws 127.3 ft from second base to home plate.

Step-by-step explanation:

Given:

Distance from home to first base = 90 ft

Distance from first base to second base = 90 ft

We need to find the distance from second base to home.

Solution:

Now we can assume the complete scenario to be formed as a right angled triangle with two sides given and to find the third side.

Now by using Pythagoras theorem which states that;

Square of the hypotenuse side is equal to sum of squares of other two sides.

framing in equation form we get;

distance from second base to home = \sqrt{90^2+90^2}= 127.27 \ ft

Rounding to nearest tent we get;

distance from second base to home = 127.3 ft

Hence The player throws 127.3 ft from second base to home plate.

6 0
3 years ago
Find the mean, variance &a standard deviation of the binomial distribution with the given values of n and p.
MrMuchimi
A random variable following a binomial distribution over n trials with success probability p has PMF

f_X(x)=\dbinom nxp^x(1-p)^{n-x}

Because it's a proper probability distribution, you know that the sum of all the probabilities over the distribution's support must be 1, i.e.

\displaystyle\sum_xf_X(x)=\sum_{x=0}^n\binom nxp^x(1-p)^{n-x}=1

The mean is given by the expected value of the distribution,

\mathbb E(X)=\displaystyle\sum_xf_X(x)=\sum_{x=0}^nx\binom nxp^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle\sum_{x=1}^nx\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle\sum_{x=1}^n\frac{n!}{(x-1)!(n-x)!}p^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle np\sum_{x=1}^n\frac{(n-1)!}{(x-1)!((n-1)-(x-1))!}p^{x-1}(1-p)^{(n-1)-(x-1)}
\mathbb E(X)=\displaystyle np\sum_{x=0}^n\frac{(n-1)!}{x!((n-1)-x)!}p^x(1-p)^{(n-1)-x}
\mathbb E(X)=\displaystyle np\sum_{x=0}^n\binom{n-1}xp^x(1-p)^{(n-1)-x}
\mathbb E(X)=\displaystyle np\sum_{x=0}^{n-1}\binom{n-1}xp^x(1-p)^{(n-1)-x}

The remaining sum has a summand which is the PMF of yet another binomial distribution with n-1 trials and the same success probability, so the sum is 1 and you're left with

\mathbb E(x)=np=126\times0.27=34.02

You can similarly derive the variance by computing \mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2, but I'll leave that as an exercise for you. You would find that \mathbb V(X)=np(1-p), so the variance here would be

\mathbb V(X)=125\times0.27\times0.73=24.8346

The standard deviation is just the square root of the variance, which is

\sqrt{\mathbb V(X)}=\sqrt{24.3846}\approx4.9834
7 0
3 years ago
Identify the linear inequality from the graph
Dovator [93]

Answer:

B) y < 3/4x -2

Step-by-step explanation:

First, to eliminate 2 options let's see what sign we should use. The ≤ is a solid line where < is a dotted line. Next, you need to know which way to flip the sign. If it is under the line it is the < symbol.

5 0
2 years ago
PLS ANSWER ASAPThe function f(x) = 4x + 10 models the amount of money Francis makes
Andrei [34K]

Answer:

A 18

Step-by-step explanation:

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

6 0
3 years ago
Other questions:
  • Simplify the expression 55-4*5+12
    11·2 answers
  • In a class of 777, there are 333 students who have done their homework.
    12·1 answer
  • What is the slope of the horizontal line
    10·1 answer
  • How do I simplify this ​
    5·2 answers
  • Jordan has 5.48 mL of liquid in one test tube and 9.63 mL in another. Luke's test tube has 17.24 mL of liquid.
    12·2 answers
  • Determine the number of months for which the total cost of the systems will be equal. Estimate your answer to the nearest whole
    15·1 answer
  • Which of the following expressions is a factor of the polynomial x2−2x−24?
    7·1 answer
  • Brain to first correct answer!
    13·2 answers
  • Find the area a triangle with a base of 3 ft and a height of 2/3 ft
    10·2 answers
  • B) Work out (7 x 10^5) x(9x 10^7)<br> Give your answer in standard form.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!