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finlep [7]
3 years ago
8

There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious ap

ples, 48 had blemishes. In a random sample of 75 of the red delicious apples, 42 had blemishes. Assume all conditions for inference have been met. Which of the following is closest to the interval estimate of the difference in the numbers of apples with blemishes (golden delicious minus red delicious) at a 98 percent level of confidence?A. (–0.076,0.236)B. (–0.105,0.265)C. (–10.5,26.5)D. (–76,236)E. (−105,265)
Mathematics
1 answer:
Delvig [45]3 years ago
4 0

Answer:

98% confidence interval is (-0.105 , 0.265)

Step-by-step explanation:

n1 = 75          n2 = 75

X1 = 48          X2 = 42

P1 = X1/N1 = 0.64          P2 = X2/N2   = 0.56

98% confidence interval for difference between two proportions is :

P1 - P2  <u>+</u>   Z \sqrt{P1 (1-P1)/n1  + P2 (1-P2)/n1}

= 0.08 <u>+</u> 0.185

= (-0.105 , 0.265)

98% confidence interval is (-0.105 , 0.265)

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The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first 12 terms of the correspondi
Leokris [45]

Answer:

2,125,760

Step-by-step explanation:

The first term (a) is 8

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Hence the sum of the first 12 term can be calculated as follows

= 8-8(3)^12/1-3

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= 2,125,760

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4 0
3 years ago
Value of P: 3/15(p+10)=-15
ArbitrLikvidat [17]
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<span> 3.1 </span>  Subtracting a whole from a fraction 

Rewrite the whole as a fraction using <span> 5 </span> as the denominator :

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<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      Adding up the two equivalent fractions 
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Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(p+10) - (-15 • 5) p + 85 —————————————————— = —————— 5 5 <span>Equation at the end of step  3  :</span> p + 85 —————— = 0 5 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

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

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

p+85 ———— • 5 = 0 • 5 5

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

The equation now takes the shape :
   p+85  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    p+85 = 0<span> 

 </span>Subtract  85  from both sides of the equation :<span> 
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One solution was found :                  <span> p = -85</span>
7 0
3 years ago
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Marianna [84]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Consider the polynomial function g(x)=x³-3x²+6x+8. Divide g by x+1.
irina [24]

Answer:

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Step-by-step explanation:

We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8

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Let us arrange the terms of g(x) to get (x+1) as common.

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= (x +1)( x² -4x +10) -2

Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)

3 0
3 years ago
a broker gets rs 20000 as commission from sale of a piece of land which costs rs 8000000. Find the rate of commission.​
Airida [17]

Answer:

0.25%

Step-by-step explanation:

Rate of commission

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=( 20000*100)/8000000

= 2000000/8000000

=2/8

= 0.25%

3 0
3 years ago
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