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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:

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:

2*t

Step-by-step explanation:

That should be it...

Just multiply 2 by t

Answer:

2t

"t" is the variable, and is similar to something that would look like this: 2(2)

i think you're overthinking this but I'll help out if I'm wrong

Answer:

189/8 cm^3

Step-by-step explanation:

Given data

Base= 7/2 cm

Hieght= 3/2cm

Length= 9/2cm

We know that the expression for volume is

Volume = L*B*H

substitute our data

Volume= 7/2*3/2*9/2

Volume= 189/8 cm^3

Hence the volume is 189/8 cm^3

Answer:

Step-by-step explanation:

Hello !

-4x+6(x+2)=20

-4x+6x +12 =20

-4x+6x= 20-12

2x = 8

x= 8/2 = 4  => B

Answer:

great :) wbu

Step-by-step explanation:

Answer:

SMI SABADO VA MUY BIEN DAME CORONA PLISSSSSSSSSSSSS

Step-by-step explanation:

Answer:

192°

Step-by-step explanation:

✔️First, find the value of x:

<G + <T = 180° (opposite angles of an inscribed cyclic quadrilateral are supplementary)

12 + 6x + 5x + 14 = 180 (substitution)

Add like terms

11x + 26 = 180

11x = 180 - 26

11x = 154

x = 154/11

x = 14

✔️m<G = ½(m(FH)) (inscribed angle is ½ of the measure of intercepted arc)

Therefore,

m(FH) = 2(m<G)

m(FH) = 2(12 + 6x) (substitution)

Plug in the value of x

m(FH) = 2(12 + 6*14) = 2(12 + 84) = 192°

Answer:

0.105195x - 0.14156

Step-by-step explanation:

The relationship between heavy metal CD sales and size of teenage population is to be obtained. The attached table shows the result obtained from a regression analysis.

The dependent variable, which is the predicted value or variable, y = heavy metal yield

The Independent variable, predictor variable, x = heavy metal yield

Feommthe table ;

Coefficient of x = slope 0.105195

Intercept = - 0.14156

The general form of a simple linear regression model is :

y = mx + c

c = intercept ; m = slope

Therefore, we have the model :

y = 0.105195x - 0.14156

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:

3rd one

Step-by-step explanation:

Answer:

<VWT and <UTW

<STW and <XWT

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:

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

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:

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:

y=50x+0

Step-by-step explanation:

y=mx+b is y-intercept form

I will make x= hours and y= distance (miles)

every 1 you add to x has to represent 50 miles

for the y intercept, it was unspecified so I assumed 0

Hope this helps :)

Answer:

y=50x

Step-by-step explanation:

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:

d. We assume that the new golf ball has an average driving distance that is greater than or equal to that of the current ball. However, if the current model has a mean driving distance that is significantly longer, then we should reject our assumption.

Step-by-step explanation:

Given that :

μ1=population mean driving distance for the current golf ball

μ2=population mean driving distance for the new golf ball

H0 : μ1 - μ2 ≤ 0

H1 : μ1 - μ2 > 0

The Null hypothesis assumes that the average driving distance of the current golf ball is less than or equal to the average driving distance of the current golf ball

For the Alternative ; If there is significant evidence that the average driving distance of the current golf ball is greater or longer than the average driving distance of the new golf ball ;then we reject our initial claim (the Null hypothesis).

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:

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:

$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:

<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:

x=2.25hrs

Step-by-step explanation:

1/9 =1/4hr

9/9=x

(9/9)/(1/9)=1/4.xhr

1/9=1/4.xhr

cross multiplying

4x=9

x=9/4

x=2.25hrs

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:

Yes, you can make a triangle with it

Step-by-step explanation:

Given

[tex]Lengths: 9in, 4in, 6in[/tex]

Required

Do the lengths form a valid triangle

To do this, we make use of triangle inequality theorem which states that;

For sides a, b and c;

[tex]a + b > c[/tex]

[tex]b + c >a[/tex]

[tex]a + c > b[/tex]

So, we have:

[tex]9 + 4 > 6[/tex] -- true

[tex]4 + 6 > 9[/tex] -- true

[tex]6 + 9 > 4[/tex] -- true

Since all the inequalities are true, then the sides form a valid triangle