the value of 1 by 3- 1 by 2=

( x, y ) = ( -3, 1 )

hope it helps!

Thus, the probability that the machine will be shut down for repair on a day when it is producing only 10% defective items is 3.3%.

The problem statement gives us a threshold of at least 15% defectives for the machine to be shut down for repair. This implies a binomial distribution with n = 100 and p >= 0.15.

Given that the machine is producing only 10% defective items on a given day, we need to find the probability of the sample having at least 15% defectives.

Using the binomial distribution formula, we can calculate the probability of having k or more defectives in a sample of size n with probability of success p:

P(X >= k) = 1 - P(X < k)
where P(X < k) = Σ (n choose i) * p^i * (1-p)^(n-i) for i = 0 to k-1

Plugging in the values, we get:

P(X >= 15) = 1 - P(X < 15)
= 1 - Σ (100 choose i) * 0.1^i * 0.9^(100-i) for i = 0 to 14

Using a calculator or statistical software, we can compute this probability to be approximately 0.033 or 3.3%.

Therefore, the probability that the machine will be shut down for repair on a day when it is producing only 10% defective items is 3.3%.

This suggests that the machine is not very likely to be shut down for repair on such a day, but it is still possible. The management may want to keep monitoring the production and take appropriate actions if the defect rate increases in the future.

Know more about the binomial distribution

https://brainly.com/question/9325204

#SPJ11

Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.

We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.

To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.

So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:

⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches

Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.

Learn more about Normal Growth here

https://brainly.com/question/14455772

#SPJ4

Answer:

C

Step-by-step explanation:

Just did the Unit Review

The cosine function of the form f(t) is f(t) = 12cos((π/360)(t - 270))

Let's denote the low tide as t = 0. Hence, the first low tide of a day will always be at t = 0. There is no vertical shift in the tide levels, so we can assume that the mean tide level is 0 inches.

Therefore, the high tide is 24 inches above the low tide.

The time period for the function is the time difference between two successive low tides which is equal to 12 hours or 720 minutes.

A cosine function can be written as f(t) = Acos(B(t-C)) + D where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

We can write a cosine function for the ocean tide as follows:f(t) = 24/2 cos((2π/720)(t - 270))

Here, the amplitude A is 24/2 = 12 since the high tide is 12 inches above the low tide.

The period B is 720 minutes since it takes 12 hours or 720 minutes for the tides to repeat themselves.The phase shift C is 270 since the high tide occurred halfway between the two low tides.

The vertical shift D is 0 because the mean tide level is 0 inches.

Hence, the required cosine function is f(t) = 12cos((π/360)(t - 270))

Learn more about cosine function at:

https://brainly.com/question/11699381

#SPJ11

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

For more questions on adjacent sides, click on:

https://brainly.com/question/28394984

#SPJ8

Answer:

5x+10=30

Step-by-step explanation:

sorry, it does not have any works/steps in forming this equation.

Solving equation(if needed):

5x+10=30

5x=20

x=4

Answer: you can count by fives 5,10 15,20,25,30

Step-by-step explanation:

i cannot read it swry

9514 1404 393

Answer:

  160

Step-by-step explanation:

Your calculator can compute the ratio of distances for you.

  \(\dfrac{8\times10^7}{5\times10^5}=\dfrac{8}{5}\times10^{7-5}=1.6\times10^2=\boxed{160}\)

Chloe's house is 160 times as far as Mason's house.

Answer:

6.45

Step-by-step explanation:

Every part is 0.01 bigger or smaller

You can find it out by subtraction and then division

6.5 - 6.4 = 0.1

0.1 : 10 = 0.01

There are 10 parts that's why you divide it by 10.

If there will be 2 parts you will divide by 2

Location of F on the given decimal number line is \(6.45\) .

" Number line is defined as a straight line which represents the numbers on it with equal interval."

According to the question,

Given number line,

F is between two decimal numbers \(6.4\) and \(6.5\)

\(6.4\) and \(6.5\) divides into \(10\) equal parts.

On the number line distance between \(6.4\) and \(6.5\) is equals to \(0.1\)

Each part represents \(0.1 \over 10\) distance which is equals to \(0.01\).

F is on the \(5th\) location.

On the number line distance of F from \(6.4\) is \(0.01 \times 5 = 0.05\)

Therefore, location of F  

\(= 6.4 + 0.05\\\\= 6.45\)

Hence, location of F on the given decimal number line is \(6.45\) .

Learn more about number line here

https://brainly.com/question/13189025

#SPJ2

Answer:

To start off, we know the problem involves something with volume as it is 3D and has a cubic in it.

We know r = 5, h = 30, and v = 1500

The volume for a cylinder in 3d is : V=\(\pi\)\(r^{2}\)h

We're solving for the height when the cylinder has a volume of 1500, therefor, we will solve for height.

Using our volume equation we plug in all values except h because we're solving for it.

1500=\(\pi r^{2} h\)

1500=\(\pi 5^{2} h\)

1500=25\(\pi\)(h)

1500/25\(\pi\) = h

60/\(\pi\) = h

60/\(\pi\) = 19.0985

H is 19ft. (C)

Answer:

y = -2x + z

Step-by-step explanation:

z is a number other than 4.

Answer:

No it is not

Step-by-step explanation:

8 + 5 = 13 or 10

(Just substitute values)

Have a great day.

a) 81.86 percent of the pennies will weigh between 2.7 and 3.3g. b) 100 percent of the pennies will weigh between 2.5 and 3.7g. c) 2.28 percent of the pennies will weigh less than 2.7g. d) 15.87 percent of the pennies will weigh more than 3.3g.

To solve these questions, we will use the properties of the normal distribution and z-scores.

a) To find the percentage of pennies that weigh between 2.7 and 3.3g, we need to calculate the area under the normal curve between these two values.

First, we need to standardize the values using z-scores:

z1 = (2.7 - 3.1) / 0.2 = -2

z2 = (3.3 - 3.1) / 0.2 = 1

Next, we can use a standard normal distribution table or a calculator to find the area between these two z-scores. The area between -2 and 1 is approximately 0.8186 or 81.86%.

Therefore, approximately 81.86% of the pennies will weigh between 2.7 and 3.3g.

b) Similarly, to find the percentage of pennies that weigh between 2.5 and 3.7g, we need to standardize the values and calculate the area between the corresponding z-scores.

z1 = (2.5 - 3.1) / 0.2 = -3

z2 = (3.7 - 3.1) / 0.2 = 3

The area between -3 and 3 encompasses the entire distribution and is equal to 1 or 100%.

Therefore, 100% of the pennies will weigh between 2.5 and 3.7g.

c) To find the percentage of pennies that weigh less than 2.7g, we need to calculate the area to the left of the corresponding z-score.

z = (2.7 - 3.1) / 0.2 = -2

Using a standard normal distribution table or a calculator, we find that the area to the left of -2 is approximately 0.0228 or 2.28%.

Therefore, approximately 2.28% of the pennies will weigh less than 2.7g.

d) To find the percentage of pennies that weigh more than 3.3g, we need to calculate the area to the right of the corresponding z-score.

z = (3.3 - 3.1) / 0.2 = 1

Using a standard normal distribution table or a calculator, we find that the area to the right of 1 is approximately 0.1587 or 15.87%.

Therefore, approximately 15.87% of the pennies will weigh more than 3.3g.

Correct Question :

A group of students weighs 500 US pennies. They find that the pennies have normally distributed weights with a mean of 3.1g and a standard deviation of 0.2g

a) What percentage of pennies will weigh between 2.7 and 3.3g?

b) What percentage of pennies will weigh between 2.5 and 3.7g

c.) What percentage of pennies will weigh less than 2.7g?

d.) What percentage of pennies will weigh more than 3.3g?

To learn more about percent here:

https://brainly.com/question/31323953

#SPJ4

The information illustrated about the statistics 201 is a sample.

A sample is an analytical subset of a larger population in statistics. Researchers can conduct their studies more quickly and with more manageable data by using samples. If the sample size is large enough, there won't be any bias, but getting such a sample might be costly and time-consuming.

The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole.

Since there are many students, a sample will be used.

Learn more about samples on:

https://brainly.com/question/17831271

#SPJ4

For the following questions, would you collect information using a sample or population

a. statistics 201 is a course taught at a university. professor rauch has taught nearly 1500 students in the course over the past 5 years. you would like to know the average grade for the course

Answer:

-6

Step-by-step explanation:

24/-4=-6

Answer:

-6

Step-by-step explanation:

Have a good day <3

Answer:

  a. 72°

  b. side DF

Step-by-step explanation:

The base angles of an isosceles triangle are congruent and equal to the complement of half the a.pex angle. The shortest side of the triangle is opposite the smallest angle.

∠F = 90° -(36°/2) = 72°

__

The smallest angle is 36°. The side opposite that angle is side DF.

_____

Additional comment

The relation we used to find the base angle is based on the fact that the sum of angles in a triangle is 180°. For angle F, with D = F, we have ...

  D +F +36° = 180°

  2F = 180° -36° . . . . . . substitute D = F, and subtract 36°

  F = 90° -(36°/2) . . . . . divide by 2

Answer:

f(1) = 4

Step-by-step explanation:

Largest output is 4, when x=1.

Answer:

f1 = 4

Step-by-step explanation:

Therefore , f(x) = 4000  (0.925)ˣ is the function

Firewood loses 7.5% of its weight each week. In other words, 92.5% of the original weight of the firewood is still present after one week.

The function I gave is an illustration of a function that denotes the quantity of firewood that is still available x weeks after the start of the winter season.

A mathematical item called a function accepts an input and creates an output. The number of weeks since the start of the winter season is the input in this scenario, and the output is the weight of firewood still available.

The function can be used to express the weight of firewood left over x weeks after the start of winter:

f(x) = 4000(1 - 0.075)ˣ

Firewood loses 7.5% of its weight each week. In other words, 92.5% of the original weight of the firewood is still present after one week

where x represents how many weeks have passed since the start of the winter season.

To know more about function visit:

brainly.com/question/12431044

#SPJ1

Based on the number of days that Maggie swam and the distance swam everyday, Maggie swam 13.16km

Maggie swam 940 meters each day. She did this for two weeks. The total distance she swam is:

= 940 x 2 x 7 days a week

= 13,160 meters

A meter is 0.001km so 13,160 meters in kilometers would be:

= Number of meters x Conversion factor

= 13,160 x 0.001

= 13.16 km

In conclusion, Maggie swam 13.16 km.

Find out more at https://brainly.com/question/19755826.

Rewriting multiplication of a sum or difference as an addition or subtraction problem is known as the distributive property.

The distributive property allows you to break down a multiplication problem involving a sum or difference into separate addition or subtraction problems. Here's a step-by-step explanation:
Step:1. Identify the sum or difference within the multiplication problem. For example, in the problem (a + b) * c, the sum is (a + b).
Step:2. Apply the distributive property by multiplying each term inside the parentheses by the outside term. In our example, this would be: a * c + b * c.
Step:3. The result is the rewritten problem as an addition or subtraction problem. In this case, it is a * c + b * c.

Learn more about distributive property here, https://brainly.com/question/4077386

#SPJ11

The population of Center City is modeled by an exponential function, denoted as f(x), where x represents the number of years after the year 2015.

An exponential function is commonly represented by the equation           f(x) = a * b^x, where 'a' is the initial value or starting point, 'b' is the base or growth/decay factor, and 'x' represents the variable or number of years in this case.

The population of Center City is modeled by the exponential function f(x), which means that the population can be expressed as a function of the number of years after the year 2015.

To fully understand the characteristics and specifics of the exponential function f(x) and how it models the population of Center City, additional information regarding the values of 'a', 'b', and the specific form of the function is necessary. Without those details, it is not possible to provide a more precise explanation.

Learn more about exponential function here:

https://brainly.com/question/29287497

#SPJ11

See attachment for math work and answer.

Therefore the part of expression of 48 represent the price per scarfs .

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. (Mathematical Operator, Number or Variable, Expression) is the structure of an expression.

Here,

In the given the expression 483, represents the number 0f scarves and 48 represents the price per scarf Buyers are charged shipping fee of $4.75 for each scarf order:

Therefore, from the given we can see the 48 represents the price per scarf.

To know more about expression, visit

https://brainly.com/question/14083225

#SPJ1

Answer:

360 miles

Step-by-step explanation:

The distance will be:

= 90 ÷ 1/4

= 90 × 4

= 360 miles.