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mario62 [17]
2 years ago
14

Solve the following using completing the square method :

Mathematics
1 answer:
Pie2 years ago
7 0

Answer:

1. x = {1.5, 0.2}  

2. x = 1

Step-by-step explanation:

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According to a survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the populati
Ghella [55]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: number of daily text messages a high school girl sends.

This variable has a population standard deviation of 20 text messages.

A sample of 50 high school girls is taken.

The is no information about the variable distribution, but since the sample is large enough, n ≥ 30, you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal:

X[bar]≈N(μ;δ²/n)

This way you can use an approximation of the standard normal to calculate the asked probabilities of the sample mean of daily text messages of high school girls:

Z=(X[bar]-μ)/(δ/√n)≈ N(0;1)

a.

P(X[bar]<95) = P(Z<(95-100)/(20/√50))= P(Z<-1.77)= 0.03836

b.

P(95≤X[bar]≤105)= P(X[bar]≤105)-P(X[bar]≤95)

P(Z≤(105-100)/(20/√50))-P(Z≤(95-100)/(20/√50))= P(Z≤1.77)-P(Z≤-1.77)= 0.96164-0.03836= 0.92328

I hope you have a SUPER day!

3 0
3 years ago
The zeros of the function f(x) =(x+2) to the second power minus 5
pashok25 [27]
(x+2)^2-5=0\\&#10;(x+2)^2=5\\&#10;x+2=-\sqrt5 \vee x+2=\sqrt5\\&#10;x=-2-\sqrt5 \vee x=-2+\sqrt5
8 0
3 years ago
Select all the correct answers. Which two inequalities can be used to find the solution to this absolute value inequality? 3|x +
ziro4ka [17]

The absolute value inequality can be decomposed into two simpler ones.

x < 0

x > -8

<h3></h3><h3>Which two inequalities can be used?</h3>

Here we start with the inequality:

3|x + 4| - 5 < 7

First we need to isolate the absolute value part:

3|x + 4| < 7 + 5

|x + 4| < (7 + 5)/3

|x + 4| < 12/3

|x + 4| < 4

The absolute value inequality can now be decomposed into two simpler ones:

x + 4 < 4

x + 4 > - 4

Solving both of these we get:

x < 4 - 4

x > -4 - 4

x < 0

x > -8

These are the two inequalities.

Learn more about inequalities:

brainly.com/question/24372553

#SPJ1

6 0
11 months ago
Find the area of a circle with a diameter of 6. Either enter an exact answer in terms of pi or use 3.14 for pi
ankoles [38]
So it gives you the diameter but you need the radius of the circle to find the area so to find the radius you just divide the diameter by two. the formula for the area of a circle is A=pi*r^2 so you just multiply 3.14 by 3 squared so you just put it in the calculator as A=3.14*3^2 and you get 28.26 hope this helped
4 0
3 years ago
A clown grabbed balloons of different colors. 7/10 of the balloons are orange. 1/4 of the remaining balloons are blue. • The res
LenaWriter [7]

Answer:

The Clown grabbed 126 balloons

Step-by-step explanation:

7 0
3 years ago
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