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Alla [95]
3 years ago
14

Together, teammates Pedro and Ricky 2681 base hits last season. Pedro had 285 more hits than Ricky. How many hits did each playe

r have
Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0
Pedro did 1,626 hits and ricky did 1,056. Can you please help me with my question?

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Construct a 99​% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s
vivado [14]

Using the z-distribution, the 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The estimate and the sample size are given by:

\pi = 0.36, n = 100.

Then the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836

The 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
What are the answers to 5,6,and 7
levacccp [35]
Jdurjrjufurjrjrjrurrurjrn it is 6
4 0
3 years ago
Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to f
tino4ka555 [31]

Answer:

The minimum value of the given function is f(0) = 0

Step-by-step explanation:

Explanation:-

Extreme value :-  f(a, b) is said to be an extreme value of given function 'f' , if it is a maximum or minimum value.

i) the necessary and sufficient condition for f(x)  to have a maximum or minimum at given point.

ii)  find first derivative f^{l} (x) and equating zero

iii) solve and find 'x' values

iv) Find second derivative f^{ll}(x) >0 then find the minimum value at x=a

v) Find second derivative f^{ll}(x) then find the maximum value at x=a

Problem:-

Given function is f(x) = log ( x^2 +1)

<u>step1:</u>- find first derivative f^{l} (x) and equating zero

  f^{l}(x) = \frac{1}{x^2+1} \frac{d}{dx}(x^2+1)

f^{l}(x) = \frac{1}{x^2+1} (2x)  ……………(1)

f^{l}(x) = \frac{1}{x^2+1} (2x)=0

the point is x=0

<u>step2:-</u>

Again differentiating with respective to 'x', we get

f^{ll}(x)=\frac{x^2+1(2)-2x(2x)}{(x^2+1)^2}

on simplification , we get

f^{ll}(x) = \frac{-2x^2+2}{(x^2+1)^2}

put x= 0 we get f^{ll}(0) = \frac{2}{(1)^2}   > 0

f^{ll}(x) >0 then find the minimum value at x=0

<u>Final answer</u>:-

The minimum value of the given function is f(0) = 0

5 0
3 years ago
In the rhombus, angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z. Find the value of each variable. 2 1​
cupoosta [38]

The values of the variables x, y and z are; 9, 81 and 6 respectively

<h3>Rhombus Diagonals</h3>

According to the question;

  • All sides of the Rhombus are equal.

Hence, the Diagonals of the Rhombus are perpendicular bisectors of each other.

Therefore,

Angles 1, 2 and 3 are all equal to 90°, so that we have;

  • 10x = 90°

x = 9°

  • x + y = 90, where x=9

  • 9 + y = 90

y = 81°

  • 15z = 90

z = 6°

Read more on Rhombus Diagonals;

brainly.com/question/20627264

8 0
2 years ago
Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that
liq [111]

Answer:

28.2\frac{miles}{gallon}

Step-by-step explanation:

we know that

To find the average number of miles that the car traveled on each gallon of gas, divide the total miles by the total gallons of gas

so

\frac{465.3}{16.5}\frac{miles}{gallons}=28.2\frac{miles}{gallon}


7 0
3 years ago
Read 2 more answers
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