What is the common difference between consecutive terms in the following
arithmetic sequence?
-16, -20, -24, -28, ...
A. 12
B. 4
C. -4
D. -12

Answer:

H) SAS

Step-by-step explanation:

you would find the measure of angle MXQ and angle NXP using the vertical angles theorem which states that all vertical angles are congruent. now you have 2 sides and an included angle. hope this helps!!

The probability that at least one will have defect is 0.1855 if a manufacturing machine has a 5 % defect rate.

If manufacturing machine has 5% defect rate. The probability is ration of the number of favorable outcomes.  Probability is the branch of math in which we calculate he number of observation and favorable outcomes of a certain event to be occur. if the manufacturing company has 5% defect rate then there is also to find the number probability of non defect rate.   so,  

Probability of defect (p) = 0.05 

Probability of non defect (q) = 1- 0.05 = 0.95 

4 items are chosen at random .

We have to calculate the probability that at least one will have a defect.

Now ,

P ( at least one will have defect ) = 1 - P ( None will have defect )

P ( none will have defect) = 1 × 1 × 0.81450625

P (none will have defect) = 0.81450625

putting the value we get,

P ( at least one will have defect) = 1 - 0.81450625

P ( at least one will have defect) = 0.18549375

P ( at least one will have defect) = 0.1855

To learn more about Probability please visit:

https://brainly.com/question/13604758

#SPJ4

Chelsea can use c = 2 and d = -20 to make the equation have infinitely many solutions. If she substitutes any value of x into the equation, the equation will always be true.

What is an equation?

An equation is a statement that asserts that two expressions are equal. It typically contains one or more variables and is often used to represent relationships between quantities or to solve problems.

To have infinitely many solutions, the equation must be true for all values of x. In other words, any value of x we substitute into the equation must make it true.

Looking at the equation cx + d = 4(0.5x - 5), we can simplify the right-hand side by distributing the 4:

cx + d = 2x - 20

Now, if we subtract 2x from both sides, we get:

cx - 2x + d = -20

If we factor out x from the left-hand side, we get:

x(c - 2) + d = -20

For this equation to have infinitely many solutions, we must have c - 2 = 0 and d = -20.

If c - 2 = 0, then c = 2.

If d = -20, then the equation becomes:

2x - 20 = 2x - 20

which is true for all values of x.

Therefore, Chelsea can use c = 2 and d = -20 to make the equation have infinitely many solutions. If she substitutes any value of x into the equation, the equation will always be true.

To learn more about the equations, visit:

https://brainly.com/question/22688504

#SPJ1

Answer:

Step-by-step explanation:

We need to know how to deal with absolute values to solve this. Remember that absolute value is a distance measure, not a counting number. The absolute value is the distance that 2 numbers are away from a specific number on the number line; the distance from the number will be the same distance going right and left of the number. For example, if we are looking for the numbers that are 3 units from 0 on a number line, the 2 numbers that are 3 units away are 3 and -3.

We will simplify our absolute value equation a bit first by dividing away the 2 out front. It is very important that you realize/remember that you cannot distribute into absolute value signs the way you would parenthesis!! Dividing away the 2 gives us

| x + 5.3 | = 2.1

In words, this problem is asking us for the 2 values that are 2.1 units from 5.3 on a number line. Hence, when we remove the absolute value signs, we set the equation equal to both 2.1 and -2.1 because we want the values 2.1 units to the right AND left of 5.3:

x + 5.3 = 2.1   or   x + 5.3 = -2.1 and we solve both:

for the first one, x = -3.2 and for the second one, x = -7.4.  Your option is the third one: "x can equal -3.2 or -7.4".

Answer:

C

Step-by-step explanation: i was too lazy to read all of that and guessed and i was right lol

Answer:

Hugh will go on 3 runs !

Step-by-step explanation:

12/4=4/6

Answer:

Step-by-step explanation:

The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.

Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is

0 ≤ x ≤ 9460

Where x represents number of people.

For the range, the lowest total sales is 0 × 45.5 = $0

The highest total sales is

9460 × 45.5 = $430430

The range is

0 ≤ y ≤ 430430

Where y represents total sales

Answer: 275 \(\frac{8}{9}\)

Step-by-step explanation:

Using sampling concepts, it is found that this is an example of independent samples.

In this problem, there are two sets of items, the data-set composed by the time taken by females, and the time taken by males.

A similar problem is given at https://brainly.com/question/25784076

In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

Learn more about a linear equation

brainly.com/question/29739212

#SPJ1

Leo delivered 62.80 big parcels.

Let's denote the amount Leo earned for delivering a big parcel as "B" and the amount he earned for delivering a small parcel as "S". We'll set up a system of equations based on the given information.

From the problem statement, we have the following information:

1) Leo earned $2.40 for delivering a small parcel: S = 2.40

2) Leo earned more for delivering a big parcel: B > 2.40

3) He delivered 3 times as many small parcels as big parcels: S = 3B

4) Leo earned a total of $170.80: B + S = 170.80

5) Leo earned $45.20 less for delivering all big parcels than all small parcels: S - B = 45.20

Now, let's solve the system of equations:

From equation (3), we can substitute S in terms of B:

3B = 2.40

From equation (5), we can substitute S in terms of B:

S = B + 45.20

Substituting these values for S in equation (4), we get:

B + (B + 45.20) = 170.80

Simplifying the equation:

2B + 45.20 = 170.80

2B = 170.80 - 45.20

2B = 125.60

B = 125.60 / 2

B = 62.80

To know more about equations visit:

brainly.com/question/29657983

#SPJ11

Answer:

30

Step-by-step explanation:

I can't prove this, but I can tell you the answer.

30.

a = 100 s  digit

b = 10 s digit

5 is always the units digit.

I'm pretty sure that 30 is the correct answer.

What an interesting question. If I find out how it is done, I'll post it in the comments.

I can say this much.

a + b + 5 must be divisible by 3.

a = 1     b = 9     + 5

a = 1     b = 6     + 5

a = 1     b = 3     + 5

a = 1     b = 0 +  5

===============

Three more are obtained by interchanging the 100s and 10s digit except for b = 0

a = 9     b=1    + 5

a = 6     b =1   + 5

a = 3     b= 1   + 5

==================

a = 2    b = 2 + 5

a = 2    b = 5  + 5

a = 2    b = 8  + 5

only 2 more are obtained by interchanging the 10s and 100s digit

=============

a = 3   b = 4    +5

a = 3   b = 7    +5

You can't go any further. You get 2 more by interchanging the b and a digits.

=============

I hope you see what I've done here. I don't think this is an exact proof, but it is an exhaustive search.

The random variable X represents the length of each engineering conference, and is measured in days.

The normal distribution should be used for this problem, as the underlying population is normal. The normal distribution is a continuous probability distribution that is characterized by a symmetric bell-shaped curve. It is a useful model for events that follow a normal or Gaussian pattern, such as the lengths of engineering conferences.

c. i. The 95% confidence interval for the population mean length of engineering conferences is (3.38, 4.50) days.

ii. The graph of the 95% confidence interval for the population mean length of engineering conferences is shown below.

iii. The error bound for the 95% confidence interval is 0.77 days. This can be calculated using the formula: Error Bound = 1.96*(standard deviation/√sample size). In this case, the error bound is calculated as: 1.96 * (1.28/√84) = 0.77.

Learn more about normal distribution here:

https://brainly.com/question/29509087

#SPJ4

The probability of randomly selecting a blue marble on the first pick is 15/45 since there are a total of 45 marbles and 15 of them are blue. After the blue marble is not replaced, there are now 44 marbles remaining and 9 of them are white. Therefore, the probability of selecting a white marble on the second pick is 9/44. To find the probability of both events occurring, we multiply the probabilities together: (15/45) x (9/44) = 0.045 or 4.5%. Thus, there is a 4.5% chance of randomly selecting a blue marble on the first pick and a white marble on the second pick without replacing the blue marble.

Probability is the measure of the likelihood of an event occurring, and it is expressed as a fraction or percentage. To calculate the probability of selecting a blue marble on the first pick, we divide the number of blue marbles by the total number of marbles. The same process is used to calculate the probability of selecting a white marble on the second pick. However, since the blue marble is not replaced, the number of marbles decreases by one, and the probability of selecting a white marble changes accordingly.

In conclusion, the probability of randomly selecting a blue marble on the first pick and a white marble on the second pick without replacing the blue marble is 4.5%. This means that out of every 100 times that the experiment is repeated, we would expect to get a blue marble on the first pick and a white marble on the second pick approximately 4-5 times.

To know more about Probability visit:

https://brainly.com/question/30034780

#SPJ11

Answer:

66

Step-by-step explanation:

11 - 9 + 8^2

11 - 9 + 64

= 66

Answer:

Option C.

Step-by-step explanation:

The given absolute value inequality is

\(|x+12|+5<27\)

Isolate the absolute value by subtracting 5 from both sides.

\(|x+12|+5-5<27-5\)

\(|x+12|+0<22\)

\(|x+12|<22\)

Therefore, the correct option is C.

We can further solve this, to find the solution of the given inequality.

\(-22<x+12<22\)

Subtract 12 from each sides.

\(-22-12<x+12-12<22-12\)

\(-34<x<10\)

The solution of given inequality is \(-34<x<10\).

a. P(X < 68) is approximately 0.84.

b. P(X < 22) is approximately 0.77.

c. P(X = 68) is approximately 0.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

To calculate the probabilities given, we can use the properties of probability distributions for continuous random variables.

a. P(X < 68) can be found by subtracting the probability of X being greater than 68 from 1 (since the total probability sums to 1):

P(X < 68) = 1 - P(X > 68) = 1 - 0.16 = 0.84

Therefore, P(X < 68) is approximately 0.84.

b. P(X < 22) can be found using the given probability distribution:

P(X < 22) = 1 - P(22 ≤ X ≤ 68) = 1 - 0.23 = 0.77

Therefore, P(X < 22) is approximately 0.77.

c. P(X = 68) for a continuous random variable is 0 since the probability at a single point in a continuous distribution is infinitesimally small. Instead, we consider the probability of a range around that point, which is negligible for a single point.

Therefore, P(X = 68) is approximately 0.

Please note that due to rounding, the answers provided are approximate values rounded to 2 decimal places.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ4

Answer:

i dont know the answer but did u try to use photomath?

Step-by-step explanation:

Answer:  54° or 40°, depending on my interpretation of the problem.

Step-by-step explanation:

I do not understand the drawing. I see a right angle with a line bisecting it at 36 degrees.  A right angle is 90°, so the other angle should be (90 - 36) or 54°.  But what's shown is (14 - 1)°, and I don't know how to interpret that.  Is the "1" supposed to be an "x"?  If so, x = 40°

Answer:

water being measured as the distance increases from the sprinkler. Finally, where the sprinkler radius came to an end, there would be a container far enough from the sprinkler to have no measurable water. Figure 33: Sprinkler water distribution graph Figure 34: 60% sprinkler radius

Step-by-step explanation:

The correct statement is: b. The uncertainty will be larger in Study 1 than in Study 2.

This is because Study 2 used a larger random sample (100 cigarettes) compared to Study 1 (10 cigarettes), resulting in a more accurate estimate of the mean nicotine content and reduced uncertainty.

The uncertainty will be larger in study 1 than in study 2. This is because the sample size in study 1 is smaller than in study 2, which means there is more variability in the estimates due to the smaller sample size. In general, larger sample sizes lead to more precise estimates with less uncertainty.

Visit here to learn more about uncertainty brainly.com/question/14211075

#SPJ11

Answer:

In explanation

Step-by-step explanation:

If Mr.brown worked 20 hours and his wife wold of worked 15 hours they would both earn 120$.

Another one is if Mr.brown works 40 hours and his wife works 30 hours they each could make 240$

Hope this helps have a great day:)

Answer:

Step-by-step explanation: Browne works 4 hours and gets 24$. Wife works 3 hours and gets 24$. That's the least amount of hours for them to earn the same pay. Some other ways: Browne - 8 h and 48$, Wife - 6 h and 48$. Their hours just should be 4:3

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

Read more about Line of best fit at; https://brainly.com/question/1441182

#SPJ1

Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Answer:

independent is r and dependent is y

Step-by-step explanation:

An independent variable is exactly what it sounds like. It is a variable that stands alone and isn't changed by the other variables you are trying to measure.

a tree grows a ring for each year, therefore, to determine a trees age, you need to count the rings. the rings "r" dictate the age or years "y"

Answer:

13 + x ≤ 22

x ≤ 9

Step-by-step explanation:

Total players = 22

Players available = 13

Players remaining = x

The inequality can be written as:

Players available + Players remaining ≤ Total players

13 + x ≤ 22

x ≤ 22 - 13

x ≤ 9

The correct alternative hypothesis for the Wilcoxon rank sum test is: ha: one distribution is shifted in a location higher or lower than the other. Option C is the answer.

This means that the test is designed to determine if there is a significant difference between the medians of two independent groups, rather than testing for a difference in means.

The null hypothesis for the test is that there is no significant difference between the two groups, while the alternative hypothesis states that there is a significant difference.

The Wilcoxon rank sum test is a nonparametric test and is used when the assumptions of the t-test are not met, such as non-normality or unequal variances.

Learn more about the alternative hypothesis at

https://brainly.com/question/27335001

#SPJ4

Answer:

71 and 73

Step-by-step explanation:

hope this helps!

It is given that a set of real numbers s is non-empty and bounded. The objective is to prove that inf s ≤ sup s. This statement can be justified as below.

Firstly, as per the definition of bounded set, it is known that the set s has both lower and upper bounds. Thus, the infimum and supremum of s exist and are denoted as inf s and sup s, respectively.

Since s is non-empty and bounded, it can be observed that every element of the set s is greater than or equal to inf s and less than or equal to sup s.

Therefore, inf s is the greatest lower bound of s and sup s is the least upper bound of s, implying that inf s ≤ sup s. Hence, it is proven that inf s ≤ sup s for a non-empty set s of real numbers that is bounded.

To know more about non-empty visit:

https://brainly.com/question/1581607

#SPJ11

The probability of at least 10 cities out 45 have a commute time greater than 30 minutes is 0.893 or 89.3%

Apply the complement rule.

Probability that at least one of the 10 cities you select will have a commute time greater than 30 minutes,

The complement of the event is 'none of the 10 cities have a commute time greater than 30 minutes'.

The probability of the complement event can be calculated by ,

Multiplying probabilities of selecting a city with a commute time less than or equal to 30 minutes for each of 10 selections.

P(none of 10 cities have a commute time > 30 minutes) = (35/45) x (35/45) x ... x (35/45) (10 times)

Because there are 35 cities out of the total 45 that have a commute time less than or equal to 30 minutes.

So the probability that at least one of the 10 cities has a commute time greater than 30 minutes is,

1 - P(none of the 10 cities have a commute time greater than 30 minutes)

= 1 - (35/45) x (35/45) x ... x (35/45) (10 times)

= 1 - 0.1073

= 0.8926

Therefore, the probability that at least one of the 10 cities you select will have a commute time greater than 30 minutes is 0.893 or 89.3%.

learn more about probability here

brainly.com/question/14185974

#SPJ4

The above question is incomplete, the complete question is:

If i randomly sample two cities from this group (consider these 45 the 'population' if you will) then what is the probability that at least one of the 10 cities i select will have a commute time greater than 30 minutes?

Answer:

The final solution is 2.

y ÷ 2 + x ; use x = 1 and y = 2

(2) ÷ 2 + (1)  -----> divide 2 by 2

1 + 1 ----> add the quotient of 2/2 to 1

2 ---> answer

Answer:

2

Step-by-step explanation:

(To make this easier I will put this in steps)

Step 1 : Substitute

As you can see we are given the amount the variable stands for so we can simply just substitute them out...

y / 2 + x  OR  2 / 2 + 1

Step 2 : Solve

Now that there are no variables this should now be pretty simple to solve.

2/2 = 1 so...

1 + 1

Then you would add them and get 2

y / 2 + x = 2

Hope this helps :)