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guapka [62]
3 years ago
12

Twenty one is greater than or equal to 1 minus X

Mathematics
2 answers:
katen-ka-za [31]3 years ago
8 0
The answer is that 21 will be greater than minus one
olchik [2.2K]3 years ago
8 0
X is less than or equal to 22
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A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%
andre [41]

Answer:  a) 683   b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}

a) Given : Significance level :\alpha=1-0.95=0.05

Critical value : z_{\alpha/2}}=\pm1.96

Margin of error : E=0.03

Formula to calculate the sample size needed for interval estimate of population proportion :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067

Hence, the required sample size would be 1067 .

3 0
3 years ago
Solve for X......:) <3
Vedmedyk [2.9K]

Answer:

x = 88

Step-by-step explanation:

All angles in a triangle equal 180 degrees. So our equation will be:

x + 48 + (x - 44) = 180

x + 48 + x - 44 = 180

2x + 48 - 44 = 180

2x + 4 = 180

2x = 176

x = 88

Hope this helps!

8 0
2 years ago
9×7= Use. the disistributive property to find each product.<br><br>​
ANEK [815]

Answer:

63

Step-by-step explanation:

first yoy need to put the biggest number on the top then multiply each number

6 0
3 years ago
A ladder is 100 inches tall. How tall is it in feet and inches
Nataly [62]

Answer:

Step-by-step explanation?

8 feet 4 inches....12*8= 96, 96+4=100....so your answer is 8 foot 4 inches. because there is 12 inches in a foot, and have 4 left over for the 100.

6 0
3 years ago
Solve for x: -2x - 5 = 4
Nata [24]

Answer:

x=−20

Step-by-step explanation:

Step by Step Solution:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x/5-(-4)=0

Step by step solution :

STEP

1

:

           x

Simplify   —

           5

Equation at the end of step

1

:

 x    

 — -  -4  = 0

 5    

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         -4     -4 • 5

   -4 =  ——  =  ——————

         1        5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (-4 • 5)     x + 20

————————————  =  ——————

     5             5  

Equation at the end of step

2

:

 x + 20

 ——————  = 0

   5  

STEP

3

:

When a fraction equals zero

3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x+20

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x+20  = 0

Solving a Single Variable Equation:

3.2      Solve  :    x+20 = 0

Subtract  20  from both sides of the equation :

                     x = -20

One solution was found :

x = -20

8 0
3 years ago
Read 2 more answers
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