Square ABCD has points A(5, 10) and B(-4, 3). What is the slope of line segment BC?

The mean and standard deviation for the number of defective bolts in a total of 400 bolts is 40 and 6.32 (approx), respectively.

The mean and standard deviation for the number of defective bolts in a total of 400 bolts if the probability of defective bolt is 0.1 can be calculated using Poisson distribution.

Poisson distribution is used to predict the number of events that occur over a specified interval of time when the probability of an event occurring is known.

The formula for calculating the mean (μ) and standard deviation (σ) is given as follows:
μ = λσ = √λ
Where λ = np, where n is the number of trials and p is the probability of success.

Here, the probability of a defective bolt is 0.1. So the probability of a non-defective bolt is 0.9. The total number of bolts is 400, so the expected number of defective bolts can be calculated as follows:
μ = λ = np = 400 x 0.1 = 40

The mean number of defective bolts is 40. The standard deviation can be calculated as follows:
σ = √λ = √40 = 6.32 (approx)

The standard deviation is 6.32 (approx).

Therefore, the mean and standard deviation is 40 and 6.32 (approx), respectively.

To know more about mean and standard deviation refer here:

https://brainly.com/question/28108712

#SPJ11

The percentage obtained from the pie chart for different colors are Blue =29%, Green = 25%, Yellow = 24%, & Pink = 22%.

As per the results of the survey, Blue color received 29% votes so it must be chosen as the new color for receiving majority votes but as the other three colors also received almost similar percentage of votes. So, the manufacturer must do more research in order to reach on any conclusion.

#SPJ1

Answer:

21 days

Step-by-step explanation:

There a 7 days in a week, and there a 3 weeks so you would just multiply 7*3 which equal 21. Hope this helped.

Answer:

4 x 10^7

Step-by-step explanation:

1 x 10^7 is 10 million, just multiply that 1 by 4 to get your answer

Answer:

4 x 10^7

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10 x 3 = 30

30 - 12 = 18

There are 3,537,090 different eight-card hands that contain exactly two suits, with four cards from each suit.

The number of eight-card hands that contain exactly two suits with four cards from each suit can be calculated as follows:

First, we choose two suits out of four possible suits in 4C2 ways. Then, we choose four cards from each of the two chosen suits in 13C4 ways. Therefore, the total number of such hands is:

4C2 * 13C4 * 13C4 = 6 * 715 * 715 = 3,537,090

Regarding the second question, the author felt it necessary for Mrs. Candy to have a quantity greater than 30 of each type of candy to ensure that there are enough candies of each type to give to each child. Since each child is supposed to get three pieces of candy, and there are nine children, Mrs. Candy needs at least 27 pieces of candy in total. If each type of candy is available in a quantity greater than 30, then there will be enough candies of each type to give to each child without running out. However, if the quantity of any type of candy is less than 27, then Mrs. Candy may not be able to distribute the candy to all nine children fairly.

To learn more about eight-card hands here:

https://brainly.com/question/31624666

#SPJ4

Answer:

\(height = \frac{24}{2} = 12 \: cm \\ adjacent = \frac{32}{2} = 16 \: cm\)

We get a triangle of height 12 cm and adjacent 16 cm

\(side = \sqrt{ {12}^{2} + {16}^{2} } \\ = \sqrt{400} \\ = 20 \: cm\)

Answer:

side=√(24/2)²+(32/2)²

=√12²+16²

=√400

= 20

Overall, sampling offers a practical and efficient approach to obtain information about a population while still providing accurate and reliable results. It strikes a balance between accuracy, cost-effectiveness, and feasibility, making it a preferred method for many research studies and surveys.

Cost-Effectiveness: Sampling is usually more cost-effective than conducting a census. A census involves collecting data from every individual in the population, which can be time-consuming and expensive. Sampling allows researchers to gather representative information using a smaller sample size, reducing costs while still providing accurate estimates.

Time Efficiency: Conducting a census can be time-consuming, particularly for large populations. Sampling allows researchers to collect data more efficiently by focusing on a subset of the population. This saves time and enables quicker analysis and decision-making.

Feasibility: In some cases, it may not be practical or feasible to conduct a census. For example, in populations with millions or billions of individuals, it would be extremely challenging and resource-intensive to collect data from every member. Sampling provides a more manageable approach, allowing researchers to obtain meaningful insights without overwhelming logistical constraints.

To know more about sampling,

https://brainly.com/question/31754148

#SPJ11

Answer:

No

7x7=49 and 8x8=64, 56 does not have an exact square root

The measure of the pre-image, line segment GH according to the task content is; 14.

According to the task content as described;

It follows that the pre-image in discuss is segment GH and the image is line segment; G'H'.

On this note, since it follows that the image is as a result of the dilation of the pre-image by a scale factor of 4, we can conclude that the image is 4 times greater than the pre-image.

Hence, the measure of line segment; GH according to the task content is; 56/4 = 14.

Read more on dilation;

https://brainly.com/question/10253650

#SPJ1

Answer:

18/56

Step-by-step explanation:

Answer:

18/56

Step-by-step explanation:

9/28= 18/56

for the top 1 I multiplied the numerator and denominator by 2 and then when you simplify it you get 9/28

Answer:

5

Step-by-step explanation:

1 pound = 16 ounces

32/16 = 2

2 + 3 = 5

So therefore he bought 5 pounds of vegetables.

Answer:

1,036.28

Step-by-step explanation:

IXL

The discount price is $1036.284

The original amount of the digital camera is given as:

\(Price = \$863.57\)

When the camera is marked up by 100%, the new price is:

\(Price = \$863.57 \times (1 + 100\%)\)

\(Price = \$1727.14\)

A 40% off means that, the camera is sold at 60%.

So, the discounted price is:

\(Discount = \$1727.14 \times 60\%\)

\(Discount = \$1036.284\)

Hence, the discount price is $1036.284

Read more about discounts at:

https://brainly.com/question/3729664

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

Read more on scale factor here: brainly.com/question/29967135

#SPJ1

A. True. The sequence of four words, triangle, glove, clock, bicycle, corresponds to the sequence of numbers 3, 5, 12, 2

A sequence of numbers consists of numbers that are connected by a rule or arranged in a recognizable pattern.

The sequence of the words are;

Triangle, glove, clock, bicycle

The sequence of the numbers are 3, 5, 12, 2

The sequence of the words can be shown to correspond to the sequence of numbers, based on the similarities between the words and the numbers as follows;

The number of sides in a triangle are 3, therefore, the first word, triangle, corresponds with the first number, 3

The number of fingers that fit in a glove are five fingers, therefore, the second word, glove, corresponds with the second number, 5

The number of hours in a clock are twelve, therefore, the third word, clock, corresponds with the third number, 12

The number of wheels in a bicycle are two, therefore, the fourth word corresponds with the fourth number, 2

The correct option is A. True

Learn more on number sequence here: https://brainly.com/question/24476950

#SPJ1

There is insufficient evidence to prove that the dice are loaded because every number on them has a probability of 1/6.

The likelihood of any number appearing on a six-sided die is 1/6.

It will not be 1/6 if it is loaded.

In order to determine whether the provided distribution complies with the idealized distribution of the dice throw, we do a chi-square test.

Step 1: Form the hypothesis.

H₀ = The likelihood of rolling any number on a six-sided die is one-sixth.

H₁ = The likelihood of getting any number on a six-sided die is not one in six.

Step 2: Indicate the degree of significance.

Alpha = 0.5

Step 3: computation of the chi-square test statistic (Image is attached for this step)

Step 4: Discover the important value.

Critical Value ⇒ 12.8325 =CHISQ.INV[1 - (0.05 / 2), 5]

Step 5: Determine the p-value.

p-value ⇒ 0.853 =1 - CHISQ.DIST(1.97,5,TRUE)

Step 6: Make a choice regarding whether or not to reject H₀

We are unable to reject the null hypothesis since the p-value is higher than 0.05.

As a result, we draw the conclusion that there is a 1/6 chance of getting any number on a six-sided die.

Note: Since the chi-square value is below the threshold, the null hypothesis cannot be rejected.

Because every number on the dice has a probability of 1/6, there is insufficient evidence to support the assertion that the dice are loaded.

To know more about probability, refer to this link:

https://brainly.com/question/13017520

#SPJ4

Answer:

Step-by-step explanation:

The way I understand (remember) the problem is....

you want to evaluate h(x)   by substituting 2 in for x's  

then substitute the value for h(2)  into  f(x) to get the answer

evalute f(h(2)) by following the parentheses  

h(x) = x² - 3x - 4        evaluate when x = 2

h(2) = 2² - 3(2) - 4

      =  4  - 6  -  4

h(2)  =  -6              so now -6   is the new x in the f(x) equation

f(x)   = 3x - 6

f(-6) = 3(-6) - 6

      =  -18 - 6

      =  -24

so             f(h(2))  = -24                        

Answer:

x=17.5 or 18,y=12.5,or 13

Step-by-step explanation:

20-15 = 5    

5÷2 = 2.5

15+2.5 = 17.5

15-2.5=12.5

Answer:

rectangle, square, and trapezoid

Step-by-step explanation:

Answer:

\(392\:in^2\)

Step-by-step explanation:

Hey there!

Surface area:

\(2(10)(6)+2(6)(6)+2(6)(4)+2[(10)(10)-(4)(6)]\)

\(= 392\:in^2\)

~

Hope this helps!

The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is given as follows:

(1.9, 2.3).

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 18 - 1 = 17 df, is t = 1.33.

The parameters are given as follows:

\(\overline{x} = 2.1, s = 0.74, n = 18\)

The lower bound of the interval is given as follows:

2.1 - 1.33 x 0.74/sqrt(18) = 1.9.

The upper bound of the interval is given as follows:

2.1 + 1.33 x 0.74/sqrt(18) = 2.3.

More can be learned about the t-distribution at https://brainly.com/question/17469144

#SPJ1

Answer:

Option B

Step-by-step explanation:

Answer:

3 games to be equivilent

Step-by-step explanation:

to be the same, on the 20 dollar lane you can play 5 3 dollar games for the same price to play on the 35 dollar lane with 10 games.

Hope this helps

Answer: 4020

Step-by-step explanation: u cute ash

Providing an explanation of the 12 states with the highest crime rate in 2022 would require access to recent crime rate data

I apologize, but as an AI language model, I don't have real-time data or access to the internet to provide you with the specific crime rates for the year 2022 or the average crime rates in America during the year 2016. My training only goes up until September 2021, and I don't have access to specific crime rate statistics.

To obtain the most up-to-date and accurate information on crime rates, I recommend referring to reliable sources such as official government websites, law enforcement agencies, or reputable crime research organizations. These sources regularly publish crime statistics for different regions and time periods.

Additionally, providing an explanation of the 12 states with the highest crime rate in 2022 would require access to recent crime rate data. Without the data, it is not possible to provide an accurate analysis or explanation. I encourage you to consult the aforementioned sources for the latest crime rate information.

To know more about statistics visit:

https://brainly.com/question/15525560

#SPJ11

Answer:

D.)

Step-by-step explanation:

beacuse the information on the digram shows that both angles messure 56 degrees.

The probability of x being greater than 18 (p(x > 18)) is equal to the probability of x being less than 18 (p(x < 18)) in a normal distribution.

In a normal distribution, the probability of an event happening to the left of the mean (μ) is equal to the probability of the event happening to the right of the mean. This means that if we know the probability of x being less than 18 (p(x < 18)), we can use the property of symmetry to determine the probability of x being greater than 18 (p(x > 18)).

Since the probability distribution of x is symmetric around the mean, the area under the probability density function (PDF) to the left of the mean is the same as the area to the right of the mean. Therefore, we can say:

p(x > 18) = p(x < 18)

In other words, the probability of x being greater than 18 is equal to the probability of x being less than 18 in a normal distribution.

To know more about probability,

https://brainly.com/question/32681133

#SPJ11

Answer:

3(x+y)+15xy

Step-by-step explanation:

Write an algebraic expression for the verbal expression: three times the sum of X and Y increase by five times the product of x and 3y.

Sum of x and y = x+y

three times the sum of X and Y = 3(x+y)

product of x and 3y  = x(3y) = 3xy

five times the product of x and 3y = 5(3xy) = 15xy

Three times the sum of X and Y increase by five times the product of x and 3y will be expressed as;

3(x+y) + 15xy

Hence the required algebraic expression is 3(x+y)+15xy

Answer:

x = 50 degrees!