16b = 32 need a lil bitta help

The value x in the formula represents the value of each observation of the data-set.

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A sampling distribution is the probability distribution of a statistic for all random samples of n observations from a population. The term "sampling distribution" refers to the probability distribution of a statistic, such as the mean or standard deviation, that arises from random sampling of a fixed-sized sample from a population.

It is essential to understand this concept because it allows us to make inferences about the population parameter using information from the sample statistic. The standard deviation of the sampling distribution is known as the standard error of the statistic, and it measures how much the statistic varies across all possible samples of the same size from the population. In short, the sampling distribution is a theoretical distribution that helps us to understand the properties of the statistic and make inferences about the population parameter based on sample data.

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Answer:

4 inches

Step-by-step explanation:

slant height = 3, surface area = 40.

let L = length of one side (since it's a square, it will be L for each edge of the base).

surface area = base + 4 sides of triangles

= L² X 4 (0.5 X base X height)

= L² X 4(0.5 X L X 3)

= L²+ 6L.

But surface area = 40.

So L² + 6L = 40.

Subtract 40 from both sides:

L² + 6L - 40 = 0.

Use the quadratic formula:

L = ((-b ± √(b² - 4ac)) ÷ 2a)

where a is the value of the first coefficient, b is value of the second and c is value of the constant.

L = ((-6 ± √(6² - 4(1)(-40))) ÷ 2(1))

= ((-6 ± √(36 + 160)) ÷ 2)

= (-6 ± 14) ÷ 2

= (-6 + 14) ÷ 2 or (-6 - 14) ÷ 2

= 4 or -10.

So L = 4 or -10. But L is a length, so it must be positive. So L = 4.  

Length = 4 inches

Answer:

p ≥ 13

13 pizzas at least

Step-by-step explanation:

$107 + $4 = $111

$111/$9 = 12.3333 round it to 13

now we know he needs to sell at least 13 pizzas so the inequality p= 13 or p > 13.

This is my go at it, I am not sure though.

The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.

We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:

\(n = (Z * \sigma / E)^2\)

Where:

n = sample size

Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)

σ = procedure standard variation (1.5 minutes per piece)

E = margin of error (0.4 minutes)

Plugging in the values, we can calculate the sample size:

\(n = (1.96 * 1.5 / 0.4)^2\)

\(n = (2.94 / 0.4)^2\)

\(n = 7.35^2\)

n ≈ 54.02

We round up the sample size to the next whole number because we can't have a portion of an observation:

n = 55

Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.

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The z score on his first quiz was 1.29 and the z score on his second quiz was 1.73.

Alvin feels he did better on the second quiz than the first because he received a higher z score. A z score is a measure of how many standard deviations an individual score is from the mean. The higher the z score, the more standard deviations away from the mean the individual score is.

In this case, Alvin's score of 15 on his second quiz was 1.73 standard deviations away from the mean of 12.2, which is higher than his score of 16 on his first quiz which was 1.29 standard deviations away from the mean of 14.3.

This indicates that Alvin's second quiz score was further away from the mean than his first quiz score, which is why he feels he did better on the second quiz than the first.

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Answer: x=-10

Step-by-step explanation:

rewrite equation as -3x-16=14.

Move all terms to the right side of the equation

-------> 3x=30, divide by -3 and simplify. :) hope that helped.

Answer:

x= -10

Step-by-step explanation:

14= -3x-16

1) -3x-16=14: Switch the left and right sides

2) -3x=14=16: Separate the constants and variables

3) -3x=30: Add the numbers

4) -3x/-3 = 30/-3: Divide both sides by -3

5) x= -10: Simplify

Hope that helps :)

Given:

Fraction of cake left = ¾

Let's find the number of 3/16 size portions of the remaining cake he can share with his family.

To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.

Thus, we have;

To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.

We have:

Therefore, he can share 4 portions of 3/16

ANSWER:

4

Using the critical values of t=+/-2.201 is less likely to lead to rejection of the null hypothesis than using the critical values of +/-2.093.

Critical Value Definition -

Using the critical values of t=±2.201 is more "conservative" than using the critical value of ±2.093 because it is more likely to reject the null hypothesis using the greater value i-e t=±2.201.

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Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.

Answer:

c = 57 degrees.

Step-by-step explanation:

This is the Alternate Segment theorem:

The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.

So c = 57 degrees.

Answer:

197.3

Step-by-step explanation:

Here, from the figure we see that,

Line EI is parallel to HG.

And EH and GI act as the transversal lines for the given parallel pair.

So, we get

Therefore, we have two angles and one side equal in two triangles.

Henceproved that , they are congruent with the ASA (Angle Side Angle)rule.

Product of -6 and -5

Answer:

30

Step-by-step explanation:

as...

-6 × -5

minus and minus git cancelled

u r left with 6 × 5

nd that's 30

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

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Answer:

9 days.

Step-by-step explanation:

We first subtract the amount already done from the total needed.

10 - 1 = 9.

Next, we take the remainder and divide it by the amount being made per day to get our final answer.

9 / 1 = 9.

The answer is 9 days.

Answer:

C is correct

Step-by-step explanation: please let me know if it was rong

Answer:

Bus B travels faster.

Step-by-step explanation:

The graph of the question in the attached figure

we know that

the linear equation in slope intercept form is equal to

where

m is the slope

b is the y-intercept

x ---> is the time in hours

y ---> is the distance in miles

In this problem we have

Bus A

The slope of the linear equation represent the speed of the bus

so

The speed of bus A is

Bus B

Find  the slope

take two points from the graph

(0,0) and (3,200)

The formula to calculate the slope between two points is equal to

substitute

Compare the slope Bus A with the slope Bus B

therefore

Bus B travels faster.

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

Explanation:

The inscribed angle JKL = 88 degrees is exactly half that of the arc it subtends, or cuts off. That arc being arc JML

This means arc JML = 2*(angle JKL) = 2*88 = 176 degrees

The types of concurrent constructions that are needed to find the centroid of a triangle include the following: B. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.

In Mathematics and Geometry, the centroid theorem states that the centroid of a triangle is located at two-third (2/3) of the distance from the vertex to the midpoint of the (opposite) sides.

Generally speaking, the centroid of a triangle simply refers to the point where the three (3) medians of the triangle meet or intersect. This ultimately implies that, a centroid is a point of intersection of the lines from each vertex of a triangle to the midpoint of the opposite sides.

In this context, the types of concurrent constructions would be modeled by answer option B.

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Complete Question:

What types of concurrent constructions are needed to find the centroid of a triangle.

A. intersection of the lines drawn from each vertex of a triangle and perpendicular to its opposite side.

B. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.

C. intersection of the lines drawn to bisect each vertex of the triangle.

D. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint

Sasha should use 2 desired outcomes in her probability calculation to determine that she has a 1/3 chance of winning the game.

To calculate Sasha's probability of winning, we need to determine how many desired outcomes she has. In this game, Sasha needs to spin a number higher than both of her friends' spins, which means she needs to spin a number greater than 1 and 4.

Let's analyze the spinner pictured. From the image, we can see that the spinner has numbers ranging from 1 to 6. Since Sasha needs to spin a number higher than 4, she has two options: 5 or 6.

Now, let's consider the desired outcomes. Sasha has two desired outcomes, which are spinning a 5 or spinning a 6. If she spins either of these numbers, she will have a number higher than both of her friends and win the game.

To calculate Sasha's probability of winning, we need to divide the number of desired outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of sections on the spinner, which is 6.

Sasha's probability of winning is 2 desired outcomes divided by 6 total outcomes, which simplifies to 1/3.

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.

Answer:

How may we help you?

Step-by-step explanation:

Answer:

a) 110 mm

b) y = 11x

Step-by-step explanation:

The unit rate for  6 CD at 66 mm is

66mm / 6 CD  = 11 mm per CD

a) 10 CD's

66 mm      x mm

---------  = ------------

6 CD            10 CD

Using cross products

66 * 10 = 6x

660 = 6x

Divide by 6

660/6 = x

110 mm for 10 CD's

b)   y =  11 x

We use the rate and multiply by the number of cases to get the height

A statement that compares two expressions that are not equal is called an inequality. An inequality is a mathematical expression that shows that two quantities are not the same, unlike an equation which shows that two quantities are equal. Inequalities use symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to) to compare two expressions.

For example, 4 < 7 is an inequality because 4 is less than 7. Inequalities are commonly used in algebra and real-world scenarios to represent situations where there are limits, ranges or restrictions. Solving inequalities involve finding the values of the unknown variable that make the inequality true. There are several methods to solve inequalities, including adding or subtracting the same value to both sides of the inequality, multiplying or dividing by a positive or negative number, and graphing the inequality on a number line.

Understanding inequalities is crucial for various fields such as economics, engineering, physics, and computer science.

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Answer:

\( \sf \: 6 \frac{ 7}{8}\)

Step-by-step explanation:

Rewriting our equation with parts separated

=8+5/2−3−5/8

Solving the whole number parts

8−3=5

Solving the fraction parts

5/2−5/8=?

Find the LCD of 5/2 and 5/8 and rewrite to solve with the equivalent fractions.

LCD = 8

20/8−5/8=15/8

Simplifying the fraction part, 15/8,

15/8=1 7/8

Combining the whole and fraction parts

5+1+7/8= 6 7/8

The calculated probabilities are: (a) P({a, c, e}) = 0.87 (b) P(E ∪ F) = 0.87

(c) P(E') = 0.13 (d) P(E ∩ F) = 0.77

Let's complete the probability distribution table and calculate the stated probabilities based on the given information:

Outcome | a    | b    | c    | d    | e  

Probability | 0.1 |      | 0.67 |      | 0.1 | 0.03

(a) P({a, c, e})

To find the probability of the event {a, c, e}, we sum the probabilities of the outcomes a, c, and e.

P({a, c, e}) = P(a) + P(c) + P(e) = 0.1 + 0.67 + 0.1 = 0.87

(b) P(E ∪ F), where E = {a, c, e} and F = {b, c, e}

To find the probability of the union of E and F, we sum the probabilities of the outcomes in their union.

P(E ∪ F) = P(a) + P(c) + P(e) + P(b) = 0.1 + 0.67 + 0.1 + 0 = 0.87

(c) P(E')

To find the probability of the complement of E, we subtract the probability of E from 1.

P(E') = 1 - P(E)

P(E') = 1 - (P(a) + P(c) + P(e)) = 1 - (0.1 + 0.67 + 0.1) = 0.13

(d) P(E ∩ F), where E and F are as in part (b)

To find the probability of the intersection of E and F, we sum the probabilities of the outcomes in their intersection.

P(E ∩ F) = P(c) + P(e) = 0.67 + 0.1 = 0.77

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A. True

B. True

C. True

D. False

A. In a randomized block design, each block is a group of experimental units that are similar with respect to some known characteristic. Each block is randomly assigned to one treatment to reduce variability within blocks.

B. In a completely randomized experimental design ANOVA procedure, the MSE (mean square error) represents the within-treatment estimate of population variance. The MSE is a measure of the variability of the data within each treatment group.

C. For full factorial experimental design ANOVA procedure, the f-statistic can be calculated by taking the mean square due to treatments divided by the mean square due to error. The f-statistic is used to test whether the treatments have a significant effect on the response variable.

D. Randomization is the process of assigning the treatments to the experimental units in a random and unbiased manner to minimize the effect of extraneous variables. The goal of randomization is to ensure that the differences between the treatment groups are due to the treatments themselves and not to any systematic differences between the groups. Therefore, the statement that randomization is the process of assigning the treatments to the experimental units in a systematic or subjective basis is false.

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Answer:

y = mx + b is the slope-intercept formula

I use this formula a lot.

Hope this Helped! Have a GOOOOOOOOOD DAY!

To determine the number of triangles in any given level of the pyramid, we can use the formula:

f(l) = 3(l-1)^2 + 1

where l represents the level of the pyramid.

The formula can be derived by noticing that each level of the pyramid consists of a square with sides of length l-1, and four triangles attached to each side of the square. Each of these triangles has a base of length l-1 and a height of l-2. Therefore, the area of each triangle is (1/2)(l-1)(l-2), and the total area of the four triangles on each level is 2(l-1)(l-2). Adding this to the area of the square, which is (l-1)^2, gives the total number of toothpicks in the level: 3(l-1)^2. Finally, we add 1 to account for the top toothpick.

Thus, the function is:

f(l) = 3(l-1)^2 + 1