11 /5,786
what does the r mean

Answer:

0.7995 = 79.95% probability that the sample will contain at least three defectives.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Suppose that a random sample of 20 items is selected from the machine.

This means that [tex]n = 20[/tex]

The machine produces 20% defectives

This means that [tex]p = 0.2[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 20*0.2 = 4[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.2*0.8} = 1.79[/tex]

Probability that the sample will contain at least three defectives

Using continuity correction, this is [tex]P(X \geq 3 - 0.5) = P(X \geq 2.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 2.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.5 - 4}{1.79}[/tex]

[tex]Z = -0.84[/tex]

[tex]Z = -0.84[/tex] has a pvalue of 0.2005

1 - 0.2005 = 0.7995

0.7995 = 79.95% probability that the sample will contain at least three defectives.

Answer:

No.

Step-by-step explanation:

10 times is not as much as 9 times.

Answer:

384mm

Step-by-step explanation:

Answer:

theta = 48.190

Step-by-step explanation:

Answer: θ = 48.2°

Step-by-step explanation:

The left side of the given triangle is a right triangle with base (adjacent to θ) = 2 and hypotenuse = 3

rounded to three significant digits = 48.2°

Answer:

Reason 2

Step-by-step explanation:

The reason should be transitive property( if a=b and b=c then a=c) not reflective property.

Answer:

s ≤ 20

Step-by-step explanation:

The speed limit refers to the maximum velocity a vehicle is allowed to move. Therefore, for a certain street like the one in the scenario abive, with a speed limit of 20 miles per hour, then, the maximum allowable speed on the highway is 20 miles per hour. Meaning vehicles can move at that speed or below. However, moving above that speed is a violation of the speed limit rule. Hence. The speed limit could be represented by the inequality :

Speed limit is less than or equal to 20 miles per hour

S ≤ 20

Answer:

$30 per Ticket

Step-by-step explanation:

There are 3 friends coming along you so that means you have to divide one number by 3. You have a $20 coupon so that meant you had to subtract 20 from 120. 20-120=100.

Now, you have to divide 100 by the 3 friends then add 5 to each number.

3 divided by 100=25+5=30

So, $30 is your answer

Answer:

60.5m^2

Step-by-step explanation:

the area of the square

=11m×11m

=121m^2

the area of triangle

=11m×11m÷2

=121m^2÷2

=60.5m^2

the area of the shaded region

=121m^2-60.5m^2

=60.5m^2

the answer is not very sure,

if it is wrong, i am sorry for it.

The Answer is (6x^2+7x+2)

Use the FOIL method

Answer:

why is brainlys ask a tutor not free anymore I really needed help so I pressed the button and all it said was pay for tutor plus

Answer:182.524

Step-by-step explanation:28.98•12.6=365.148 365.148 divided by 2=182.524

Answer: $80.16 ($748.16)

Step-by-step explanation: This is a simple multiplication question. You multiply 668 by .12

(i'm doing your math in the middle of my math class. you're welcome.)

Answer:

A right angled Triangle

Answer:

F

Step-by-step explanation:

if you do the math you end up with 49 which is a perfect square of 7

The expression that is equivalent to a perfect square in the options is 34 + 18 ÷ 3².

A perfect square is the number derived when a number is multiplied by itself. For example, 9 is a perfect square because 3 multiplied by 3 is equal to 9.

3 + 2² x 7 = 31

(80 + 4)÷ 4 = 21

34 + 18 ÷ 3² = 36

3²+ 6 x 5 ÷ 3 = 19

Answer:

<EFC and <DCF

Step-by-step explanation:

Alternate interior angles: Angles that are inside the parallel lines and are opposite from each other

<DCA and <DCF are supplementary angles meaning they add up to 180 degrees.

<EFH and <GFC are vertical angles and both angles are not inside the parallel lines.

<BCF and <GFH are not alternate interior angles because both the angles aren't inside the parallel lines.

<EFC and <DCF are alternate interior angles because they are on opposite sides of the transversal and inside the parallel lines.

Answer:

B is the correct answer as it qualifies for all the answers correctly.

9514 1404 393

Answer:

  y = (x +7)/3

Step-by-step explanation:

Multiply the given equation by y/3:

  [tex]\dfrac{x+7}{y}\cdot\dfrac{y}{3}=3\cdot\dfrac{y}{3}\\\\\boxed{y=\dfrac{x+7}{3}}[/tex]

Answer:

14.14

Step-by-step explanation:

sin(45)=10/x. <--fraction

then solve for x you should get this

x=10/sin(45)

and that should equal

14.14213562

Answer:

Answer should be 6, I think

Answer:

37.7

Step-by-step explanation:

If the diagonal length and the television are given as 76 inches and 66 inches, the obtained length will be 37.68

In two-dimensional planning geometry, it is the region that the rectangle occupies. It is described as a type of two-dimensional geometry where the angle between neighboring sides is 90 degrees. It is a specific kind of quadrilateral.

The following formula can be used to determine a rectangle's area:

Rectangle area = length x width

It given that, the diagonal length of the TV is 76 inches, the width of the TV is 66 inches,

We have to find the length of the television. Apply the Pythagoras theorem,

AC²=AB²+BC²

76²=66²+BC²

BC²=76²-66²

BC²=1420

BC=√1420

BC=37.68

Thus, the obtained length of the television will be 37.68

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

Answer:

60.5 mL

Step-by-step explanation:

Since 17.7% of the solution is acid, and we have 342 mL in total, we just multiply 342 x 0.177 to get 60.5 mL of acid.

I hope this is correct, Best of luck!

Answer:

54

Step-by-step explanation:

63 * 2 = m of arc DF

arc DF = 126

180 - 126 = 54

Arc FE = 54

Answer:

arc FE = 54°

Step-by-step explanation:

Because DE is a diagonal, ∠DFE is 90°.

∠FDE = 180° - 90° - 63° = 27°

arc FE = 2(∠FDE) = 2(27°) = 54°

Answer:

61

Step-by-step explanation:

add 42 the 19 because of reverse operation

Answer:

3rd one

Step-by-step explanation:

Answer:

<VWT and <UTW

<STW and <XWT

Answer:

there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.

Step-by-step explanation:

H0 : μw = μm

H1: μw < μm

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

df1 = 14 - 1 = 13

df2 = 17 - 1 = 16

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((13*4^2) + (16*4.2^2)) ÷ (13 + 16)

Sp² = 16.90

t = (12.9 - 16.4) ÷ sqrt((16.90/14 + 16.90/17))

t = - 3.5 ÷ 1.4836645

t = - 2.359

Using the Pvalue from Tscore ; at 95% ; df = 29

Pvalue = 0.0126

Pvalue < α

0.0126 < 0.05 ;

Hence, we reject the null and conclude that there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.

Answer:

comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.

Step-by-step explanation:

Based on the modern method of archeological findings used, it is the view of some scientists that the best plan to test the hypothesis (assumption) that early tetrapods might have evolved from lobe-finned fishes involves comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.

Answer:

v = -3i - 2j

Step-by-step explanation:

Vector given two points:

Given two points, a vector is the subtraction of the terminal point by the initial point.

In this question:

Initial point: (-1, 4)

Terminal point: (-4, 2)

So

v = (-4,2) - (-1, 4) = (-4 - (-1), 2 - 4) = (-3,-2)

The vector is v = (-3,-2)

In component form:

xvalue is i, yvalue j. So

v = -3i - 2j