Find −6 3/8−1/4. Write your answer as a mixed number in simplest for

Answer:

(a) 0.94

(b) 0.20

(c) 90.53%

Step-by-step explanation:

From a population (Bernoulli population), 90% of the bearings meet a thickness specification, let [tex]p_1[/tex] be the probability that a bearing meets the specification.

So, [tex]p_1=0.9[/tex]

Sample size, [tex]n_1=500[/tex], is large.

Let X represent the number of acceptable bearing.

Convert this to a normal distribution,

Mean: [tex]\mu_1=n_1p_1=500\times0.9=450[/tex]

Variance: [tex]\sigma_1^2=n_1p_1(1-p_1)=500\times0.9\times0.1=45[/tex]

[tex]\Rightarrow \sigma_1 =\sqrt{45}=6.71[/tex]

(a) A shipment is acceptable if at least 440 of the 500 bearings meet the specification.

So, [tex]X\geq 440.[/tex]

Here, 440 is included, so, by using the continuity correction, take x=439.5 to compute z score for the normal distribution.

[tex]z=\frac{x-\mu}{\sigma}=\frac{339.5-450}{6.71}=-1.56[/tex].

So, the probability that a given shipment is acceptable is

[tex]P(z\geq-1.56)=\int_{-1.56}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}=0.94062[/tex]

Hence,  the probability that a given shipment is acceptable is 0.94.

(b) We have the probability of acceptability of one shipment 0.94, which is same for each shipment, so here the number of shipments is a Binomial population.

Denote the probability od acceptance of a shipment by [tex]p_2[/tex].

[tex]p_2=0.94[/tex]

The total number of shipment, i.e sample size, [tex]n_2= 300[/tex]

Here, the sample size is sufficiently large to approximate it as a normal distribution, for which mean, [tex]\mu_2[/tex], and variance, [tex]\sigma_2^2[/tex].

Mean: [tex]\mu_2=n_2p_2=300\times0.94=282[/tex]

Variance: [tex]\sigma_2^2=n_2p_2(1-p_2)=300\times0.94(1-0.94)=16.92[/tex]

[tex]\Rightarrow \sigma_2=\sqrt(16.92}=4.11[/tex].

In this case, X>285, so, by using the continuity correction, take x=285.5 to compute z score for the normal distribution.

[tex]z=\frac{x-\mu}{\sigma}=\frac{285.5-282}{4.11}=0.85[/tex].

So, the probability that a given shipment is acceptable is

[tex]P(z\geq0.85)=\int_{0.85}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}=0.1977[/tex]

Hence,  the probability that a given shipment is acceptable is 0.20.

(c) For the acceptance of 99% shipment of in the total shipment of 300 (sample size).

The area right to the z-score=0.99

and the area left to the z-score is 1-0.99=0.001.

For this value, the value of z-score is -3.09 (from the z-score table)

Let, [tex]\alpha[/tex] be the required probability of acceptance of one shipment.

So,

[tex]-3.09=\frac{285.5-300\alpha}{\sqrt{300 \alpha(1-\alpha)}}[/tex]

On solving

[tex]\alpha= 0.977896[/tex]

Again, the probability of acceptance of one shipment, [tex]\alpha[/tex], depends on the probability of meeting the thickness specification of one bearing.

For this case,

The area right to the z-score=0.97790

and the area left to the z-score is 1-0.97790=0.0221.

The value of z-score is -2.01 (from the z-score table)

Let [tex]p[/tex] be the probability that one bearing meets the specification. So

[tex]-2.01=\frac{439.5-500 p}{\sqrt{500 p(1-p)}}[/tex]

On solving

[tex]p=0.9053[/tex]

Hence, 90.53% of the bearings meet a thickness specification so that 99% of the shipments are acceptable.

The manufactures bearings.

As per the question, the process that a manufacturer bears 90% of the bearings and meet the thickness specifications. The shipment consists of 500 bearings. The shipment if taken has a least 440 and 500 bearings.

the answer is 0.94, 0.20, and 90.53%.

Learn more about the manufactures bearings.

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Answer: -5.5

Step-by-step explanation:

(; -2= 7/2

-5+ 7 =12

12/2=5

Answer: It’s A

Step-by-step explanation:

On the interval (3π/2, 2π), both the sine and cosine functions are increasing.

The values of sine and cosine functions at (0, π/2, π, 3π/2, 2π) are as follows:

sin (0) = 0;          cos (0) = 1

sin (π/2) = 1;        cos (π/2) = 0;

sin (π) = 0;          cos (π) = - 1

sin (3π/2) = - 1;   cos (3π/2) = 0

sin (2π) = 0;       cos (2π) = 1

Therefore, it is clear from the above values of sine and cosine that on the interval (3π/2, 2π), both the sine and cosine functions are increasing.

Learn more about the values of sine and cosine functions here:https://brainly.com/question/17954123

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Answer:

y=3x-2

Step-by-step explanation:

find the equation of the line parallel to the line y=3x+7 passing through the point (3,7).

Answer:

40

Step-by-step explanation:

In 50 times Juan will jump 40 times.

Unitary method is first finding the value of a single unit and then deriving the required units from the given data.

For example - : A can eat 2 bananas in 2 seconds.So he can eat one banana in 1 second.From this we can calculate how many bananas he can eat in any given time.

According to the given question Juan jumped 24 times in 30 seconds.

∴ In 1 sec Juan will jump 24/30 times which is

= 4/5 times.

So, in 50 secs Juan will jump ( 4/5 × 50 ) = 40 times.

learn more about unitary method here :

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Answer:

∫₁⁵ 2t (t² + t³) dt

Step-by-step explanation:

The area is ∫ₓ₁ˣ² y dx.  To parameterize, replace x₁ and x₂ with t₁ and t₂.  Replace y = f(x) with y = f(t), and replace dx with (dx/dt) dt.

x = 5 + t², so dx = 2t dt.

∫₁⁵ (t² + t³) (2t dt)

∫₁⁵ 2t (t² + t³) dt

Answer:

2/6 is equivilent to 1/3

Step-by-step explanation:

You simplify it and then divide by the biggest number that goes into both.After,dividing you get 1/3.Your welcome.

Answer:

Translation is 67x-65=x-4, you can use any variable for the number.

Step-by-step explanation:

Answer:

26 lbs

Step-by-step explanation:

there are four 1/4 hours in an hour  1/4 x4=1 hour

6 1/2 x4= 26 lbs in an hour

Answer:

The value of x is 4 and y is -1 .

Step-by-step explanation:

First, you have make any term to have the same coefficient. So I will choose x term :

[tex]6x + 5y = 19 - - - \times 2[/tex]

[tex]12x + 10y = 38 - - - (1)[/tex]

[tex]4x + 6y = 10 - - - \times 3[/tex]

[tex]12x + 18y = 30 - - - (2)[/tex]

Next, you have to solve it by Elimination method :

[tex](1) - (2)[/tex]

[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]

[tex] - 8y = 8[/tex]

[tex]y = - 1[/tex]

[tex]substitute \: y = - 1 \: into \: (1)[/tex]

[tex]12x + 10( - 1) = 38[/tex]

[tex]12x - 10 = 38[/tex]

[tex]12x = 38 + 10[/tex]

[tex]12x = 48[/tex]

[tex]x = 4[/tex]

Answer: its 5 and -1  so D

Step-by-step explanation: In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables

Answer:

16.67%

Step-by-step explanation:

1. Take 1 divided by six : 1/6 = 0.16666 . . .

2. Multiply by 100 to get a percent: 16.67%

Answer:

(2w-3)2+2w=66

4w-6+2w=66

6w=66+6

6w=72

w=12

l=24-3

l=21

35% of 80 is 28.

Answer is 80.

Answer:  y = 5

Step-by-step explanation:

If the slope is 0, the graph of the line is a horizontal line (parallel to the x-axis).   0 slope means it is flat.

Here it passes through the y-axis  at +5 and passes through every value of x.

Step-by-step explanation:

Hey there!

To solve this type of question, you must take square of variable"X" to right side making it ±squareroot. As it is a quadratic equation it will have two values (±).

Given;

[tex] {x}^{2} = 16[/tex]

Taking (square) to right side. It becomes ± square root.

[tex]x = + - \sqrt{16} [/tex]

[tex]x = + - \sqrt{ {4}^{2} } [/tex]

Cancel square and square root.

[tex]x = + - 4[/tex]

Therefore, X = ±4

Hope it helps...

Answer:

There are two I results found which is x=4 and x=-4

Step-by-step explanation:

Step by Step Solution:

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Rearrange:

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

                    x^2-(16)=0  

Step by step solution :

STEP

1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  x2-16  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 16 is the square of 4

Check :  x2  is the square of  x1  

Factorization is :       (x + 4)  •  (x - 4)  

Equation at the end of step

1 :

 (x + 4) • (x - 4)  = 0  

STEP

2 :

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    x+4 = 0  

Subtract  4  from both sides of the equation :  

                     x = -4

Solving a Single Variable Equation:

2.3      Solve  :    x-4 = 0  

Add  4  to both sides of the equation :  

                     x = 4 and/or x=-4

Answer:

28 action movies

Step-by-step explanation:

I hope this helps!

Answer:

x=4

Step-by-step explanation:

thats the answer ^^

Answer:

its the second one

Answer:

39,443

-

3,757=

36, 3 1 1 4

Answer:

1. second

2. -200

Step-by-step explanation:

Just did it on e2020

Answer:

x = 13

Step-by-step explanation:

3x = 6x - 39 solve for x

Answer:

48.55

Step-by-step explanation:

Answer:

48.55

Step-by-step explanation:

Convert 70 into 70.00 and then it will be easier to subtract.

idk i am in 6th grade idk

Answer:

{x | x ≤ 6}

Step-by-step explanation:

Given

y = √(6 - x)

Required

Determine the domain

We start by setting 6 - x to ≥ 0.

i.e.

6 - x ≥ 0

Add x to both sides

6 - x + x ≥ 0 + x

6 ≥ x

This can be rewritten as

x ≤ 6

Using set builder, the above van be represented as: {x | x ≤ 6}

Answer:

True is corect

Step-by-step explanation:

true = true

Answer: 2472

Step-by-step explanation: It is just 2744 minus 272

Answer:

2472 okay that is your answer, you just subtract 272 from 2744. you can use a calculator to solve of paper

Answer:

z= -55 / 5-y

the line is a divided by sign you put 55 on top and the 5-y on bottom