What is the area of a sector with a central angle of 131 degrees and a radius of 7.2 ft?

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

Delvig [45]

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 + Z $\sqrt{P1 (1-P1)/n1 + P2 (1-P2)/n1}$

= 0.08 + 0.185

= (-0.105 , 0.265)

98% confidence interval is (-0.105 , 0.265)

4 0

2 years ago

Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards,

hjlf

Answer:

a) 0.9644 or 96.44%

b) 0.5429 or 54.29%

Step-by-step explanation:

a) The probability that at least 1 defective card is in the sample P(A) = 1 - probability that no defective card is in the sample P(N)

P(A) = 1 - P(N) .....1

Given;

Total number of cards = 140

Number selected = 20

Total number of defective cards = 20

Total number of non defective cards = 140-20 = 120

P(N) = Number of possible selections of 20 non defective cards ÷ Number of possible selections of 20 cards from all the cards.

P(N) = 120C20/140C20 = 0.0356

From equation 1

P(A) = 1 - 0.0356

P(A) = 0.9644 or 96.44%

b) Using the same method as a) above

P(A) = 1 - P(N) .....1

Given;

Total number of cards = 140

Number selected = 20

Total number of defective cards = 5

Total number of non defective cards = 140-5 = 135

P(N) = 135C20/140C20 = 0.457

From equation 1

P(A) = 1 - 0.4571

P(A) = 0.5429 or 54.29%

8 0

2 years ago

Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5$5dollar

jenyasd209 [6]

Answer:

$1002516150

Step-by-step explanation:

200200200 + 404040 - 101010 = 200503230

200503230 x 5 = 1002516150

8 0

1 year ago

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap

Bond [772]

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

$2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2$

The co-efficient of x is the slope of the line

So,

$m= -\frac{2}{5}$

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

$y=m_1x+b$

Putting the value of slope

$y=\frac{2}{5}x+b$

Putting (-5,1) in the equation to find the value of b

$1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1$

Putting the values of slope and b in equation

$y=-\frac{2}{5}x-1$

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

$y-y_1=m(x-x_1)$

Putting the values of slope and point in the equation, we get

$y-1=-\frac{2}{5}(x+5)$

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

#LearnwithBrainly

4 0

2 years ago

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What is the measure of Angle J K L? Triangle J K L . The exterior angle to angle K has a measure of 83 degrees. 83 degrees 97 de

nasty-shy [4]

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

Given:

A triangle JKL .

Measure of exterior angle K = 83 degrees

We have to find the measure of $\angle JKL$ .

In $(\triangle\ JKL)$ we see that the exterior angle is in linear pair with $\angle JKL$ .

Note:

Linear pair angles sum is 180 degree.

Let $\angle JKL$ be 'x' degrees .

So,

⇒ $x+83=180$

⇒ Subtracting 83 from both sides.

⇒ $x+83-83=180-83$

⇒ $x=180-83$

⇒ $x=97$ degrees

The measure of angle JKL in the triangle is of 97 degrees.

5 0

2 years ago

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