mikey usually buys a box of 18 candy bars for 12.49 whats the unit rate of price per candy bar

Answer:

a = 49

b = - 20√2

Step-by-step explanation:

5 - 2√6 / 5 + 2√6

We can rationalise the denominator as follow:

5 - 2√6 / 5 + 2√6

Multiply the numerator and the denominator by the conjugate of

5 + 2√6. The conjugate of 5 + 2√6 is

5 - 2√6

(5 - 2√6 / 5 + 2√6) x (5 - 2√6 / 5 - 2√6)

(5 - 2√6) (5 - 2√6) /(5 + 2√6) (5 - 2√6)

Expand

(25 - 10√6 - 10√6 + 4×6) / (25 - 10√6 + 10√6 + 4×6)

25 - 20√6 + 24 / 25 - 24

25 + 24 - 20√6 / 1

49 - 20√6

Equating 49 - 20√6 with a + b√3, we can obtain the value of a and b as follow:

49 - 20√6 = a + b√3

From the above

a = 49

b√3 = - 20√6

Divide both side by √3

b = - 20√6/√3

Rationalise

b = - 20√6/√3 x √3/√3

b = - 20√(6×3)/ √3×√3

b = - 20√18 / 3

b = - 20√(9×2) / 3

b = - 20 × 3√2 / 3

b = - 20√2

Given info:- Rationalise the denominator and find out the value of "a" and "b"

Given expression: {(5-2√6)/(5+2√6)} = a+b√3

Explanation:-

{(5-2√6)/(5+2√6)} = a+b√3

We know that Rationalising factor of a+b√c is a-b√c.

Therefore, the rationalising factor of 5+2√6 is 5-2√6.

⇛{(5-2√6)/(5+2√6)} × {(5-2√6)/(5-2√6)} = a+b√3

⇛{(5-2√6)(5-2√6)}/{(5+2√6)/(5-2√6)} = a+b√3

⇛{(5-2√6)²}/{5+2√6)(5-2√6)} = a+b√3 [∵(a-b)(a-b)=(a-b)²]

⇛{(5-2√6)²}/{(5)²-(2√6)²} = a+b√3 [∵(a+b)(a-b)=a²-b²]

⇛{(5-2√6)²}/({5*5)-(2*2√6*6)} = a+b√3

⇛{(5-2√6)²}/(25 - 4√6) = a+b√3

⇛{(5-2√6)²}/(25-24) = a+b√3

⇛{(5-2√6)²}/1 = a+b√3

⇛(5-2√6)² = a+b√3

⇛(5)²-(2√6)²+2(5)(2√6) = a+b√3

⇛(5*5) - (2*2√6*6) - 10 - 2√6 = a+b√3

⇛25 - 10 - 4√6 - 2√6 = a+b√3

⇛15 - 4√6 - 2√6 = a+b√3

⇛15 + 6√6 = a+b√3

∴ 15 + 6√6 = a+b√3

On, comparing with both RHS we notice that:

The value of a = 15 and b = 6.

Hope this helps!!

If you have any doubt, then you can ask me in the comments.

Answer:

The answer should be -35y + 13x + 14. As you can clearly see, you can't break it down any further than this. That's because y and x are completely different. Plus, 14 isn't part of a variable.

The slope of the regression line predicting y from x is 0.30.

Given that,

x              y

29          215

62          225

75          173

99         129

108        111

So, the coordinate points are (29, 215) and (62, 225)

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope = (225-215)/62-29)

= 10/33

= 0.30

Therefore, the slope of the regression line predicting y from x is 0.30.

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The value of \( \bar{d} \) is the mean of the temperature differences between 8 AM and 12 AM. \( \mu_{\mathrm{d}} \) represents the mean difference. To calculate \( \bar{d} \), we subtract the temperature at 8 AM from the temperature at 12 AM for each subject and find the mean of these differences. \( d \) is the mean difference, and \( s \) is the standard deviation of the differences.

The value of \( \bar{d} \) is the mean of the differences between the temperatures measured at 8 AM and 12 AM. To calculate \( \bar{d} \), we subtract the temperature at 8 AM from the temperature at 12 AM for each subject, then find the mean of these differences.

To find \( \bar{d} \), we sum up all the differences and divide by the number of subjects. Let's denote the temperatures at 8 AM as \( x_1, x_2, x_3, x_4, x_5 \) and the temperatures at 12 AM as \( y_1, y_2, y_3, y_4, y_5 \). Then the differences are \( d_1 = y_1 - x_1, d_2 = y_2 - x_2, d_3 = y_3 - x_3, d_4 = y_4 - x_4, d_5 = y_5 - x_5 \).

To calculate \( \bar{d} \), we sum up all the differences and divide by the number of subjects:

\[ \bar{d} = \frac{{d_1 + d_2 + d_3 + d_4 + d_5}}{5} \]

Now, let's find the values of \( d \) and \( s \). The value of \( d \) is the mean difference between the temperatures at 8 AM and 12 AM. We can calculate \( d \) by taking the average of the differences:

\[ d = \frac{{d_1 + d_2 + d_3 + d_4 + d_5}}{5} \]

To find \( s \), which represents the standard deviation of the differences, we need to calculate the sum of the squared differences from the mean and then take the square root of the average of these squared differences. We use the formula:

\[ s = \sqrt{\frac{{(d_1 - d)^2 + (d_2 - d)^2 + (d_3 - d)^2 + (d_4 - d)^2 + (d_5 - d)^2}}{5}} \]

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As for the second question, you haven't provided any information about the two samples that have been selected, so I'm unable to answer it. Please provide more details or rephrase the question if needed.

Sure, I'd be happy to help you! To answer your question, here are the steps to determine the upper-tail critical value for the x² test with 8 degrees of freedom for a = 0.01:

1. First, we need to determine the chi-square critical value using a chi-square distribution table. For this problem, we want to find the critical value for an upper-tailed test with a 0.01 level of significance and 8 degrees of freedom. According to the table, the chi-square critical value for this test is 20.090.

2. Therefore, the upper-tail critical value for the x² test with 8 degrees of freedom for a = 0.01 is 20.090.

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Answer: polar form

Step-by-step explanation:

The newborn death rate is calculated by dividing the number of newborn deaths by the number of live births and multiplying by 100.

The newborn death rate, also known as the neonatal mortality rate, is a critical indicator used in public health to assess the health and well-being of newborns. It is calculated by dividing the number of newborn deaths within a specified period by the number of live births during the same period and then multiplying the result by 100.

This calculation is performed to express the newborn death rate as a percentage, making it easier to interpret and compare across different populations or time periods. By dividing the number of deaths by the number of live births, we obtain the proportion of newborns who die within a certain timeframe. Multiplying this proportion by 100 provides the rate per 100 live births, which allows for a standardized measure of comparison.

The newborn death rate is a crucial statistic in assessing the quality of healthcare services, identifying areas with high mortality rates, and monitoring the effectiveness of interventions aimed at reducing neonatal deaths. It serves as a vital tool for policymakers, healthcare professionals, and researchers in evaluating and improving newborn health outcomes.

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The length of EB is approximately 0.099 inches.

To solve this problem, we can use the formula for the volume of a right triangular prism, which is:

V = (1/2)bh × l

where V is the volume, b is the base of the triangle, h is the height of the triangle, and l is the length of the prism.

We are given that the volume of the prism is 19 in^3, so we can plug in that value:

19 = (1/2)(DE)(EF) × EB

Substituting the given values for DE and EF:

19 = (1/2)(16)(24) × EB

Simplifying:

19 = 192 × EB

Dividing both sides by 192:

EB = 19/192

So the length of EB is approximately 0.099 inches.

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Answer: y=24

Step-by-step explanation:

y/3 - 12 = 4

3(y/3 - 12 = 4)

y-12+12=12+12

y=24

I think that's ur answer

take a picher of   that your working on

Answer:

C: 3,350

Step-by-step explanation:

took test 2023

Answer:

we cant express it. only itself can because in 2021 we can talk to anyone and ask them a question

To find the number of singers that joined the single singer, we need to first determine the total increase in decibels (dB) and then divide it by the increase in decibels per singer.


1. Calculate the total increase in decibels: 83 dB - 74 dB = 9 dB
2. Since decibels use a logarithmic scale, we need to determine the number of times the sound intensity is multiplied. In general, an increase of 10 dB corresponds to a 10 times increase in intensity. Therefore, a 3 dB increase corresponds to doubling the intensity (approximately).
3. Now, we need to find how many times the intensity doubles to reach a 9 dB increase. Since each 3 dB increase doubles the intensity, 9 dB increase means tripling the doubling (9 dB / 3 dB = 3).
4. The intensity doubles 3 times: 2^3 = 8. This means the total sound intensity is 8 times greater than the original intensity.
5. Since the single singer's intensity is already included, the number of singers who joined him is 8 - 1 = 7 singers.

Seven singers have joined the single singer when the sound level increases from 74 dB to 83 dB, and each singer is equally loud.

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Answer:

273

Step-by-step explanation:

Answer:

273

Step-by-step explanation:

First of all find the LCM of 27, 30, & 45 then add 3 to it u'll get the smallest value of n. So, LCM of 27, 30 & 45 is 270. Therefore, the smallest value of n = 270 + 3 = 273

at first plot the point In graph after that measure thatt side and you ll get the answer . thank you

Step-by-step explanation:

please mark as a brainlist

Answer:

Length of empty space=3cm

Step-by-step explanation:

YOU CAN FIND THE COMPLETE SOLUTION IN THE GIVEN ATTACHMENT

I HOPE IT HELPED YOU

Answer:

First of all, let's multiply both sides by 5, clearing the denominators:

Then, as long as g is not zero, we can divide by g, and let's read right to left:

At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:

If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.

The point estimate of the population mean is 22.

A simple random sample of 5 observations from a population containing 400 elements was takenthe following values were obtained:

15, 19, 21, 24, and 31.

A simple random sample is a sampling technique that chooses n elements from a population of size N in such a way that each possible sample of the same size n is equally likely to be chosen.

The point estimate of the population mean can be calculated as the sample mean, which is the sum of the observations divided by the sample size:

Sample mean = (15 + 19 + 21 + 24 + 31) / 5

= 110 / 5

= 22

Therefore, the point estimate of the population mean is 22

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The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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The original amount of the bill is $90.

Given that, the gratuity on a restaurant bill = $18 and tip = 20%.

We need to find the original amount of the bill.

A gratuity is a sum of money customarily given by a customer to certain service sector workers such as hospitality for the service they have performed, in addition to the basic price of the service.

The tip is directly proportional to the total cost

\(=\frac{18}{0.20} =x\)

= $90

Therefore, the original amount of the bill is $90.

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The original cost of a cell phone is mathematically given as

0.65x = sale cost

This is further explained below.

The complete amount of money spent on the acquisition of an item is referred to as the "original cost." When calculating the initial cost of an asset, all of the costs associated with acquiring the asset and making use of it are included in. This includes both direct and indirect costs.

Generally, the equation for the original cost is mathematically given as

original cost - (percentage off)(original cost) = sale cost

Therefore

x - 0.35x

0.65x = sale cost

In conclusion,  The original cost of a cell phone is

0.65x = sale cost

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Based on the scenario above, the inequalities that can be graphed on the coordinate plane is y < 3x + 5.

In graphing inequalities, one can graph inequality on the coordinate plane.

Note that the solutions for a linear inequality can be seen in the area of the coordinate plane. The boundary line used are  > ,<, ≥ and ≤.

Note also that the  inequalities graphed on the coordinate plane known to be y < 3x + 5 is shown in the image attached. When you look at option A, B and D, you will see that they are incomplete and missing some values but option C gave the correct example of an inequalities.

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a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.

a) To calculate the expected profit, we multiply the profit by the probability of it happening:

Expected profit = Profit * Probability

Given:

Profit = $10,000

Probability = 40% = 0.4

Expected profit = $10,000 * 0.4 = $4,000

Therefore, the expected profit is $4,000.

b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:

Standard deviation = √(Probability * (1 - Probability) * Profit^2)

Given:

Profit = $10,000

Probability = 40% = 0.4

Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)

                = √(0.4 * 0.6 * $100,000,000)

                = √(24,000,000)

                ≈ $4,898.98

Therefore, the standard deviation for the profit is approximately $4,898.98.

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The simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

To simplify the expression 5.3x - 8.14 / 3.6x - 9.8, we can first simplify the division by finding a common denominator for the fractions.

The common denominator for 3.6x and 9.8 is 3.6x * 9.8 = 35.28x.

Next, we can rewrite the expression using the common denominator:
5.3x * (35.28x/35.28x) - 8.14 * (35.28x/35.28x) / 3.6x * (35.28x/35.28x) - 9.8 * (35.28x/35.28x)

Simplifying further, we get:
(5.3 * 35.28x^2 - 8.14 * 35.28x) / (3.6 * 35.28x - 9.8 * 35.28x)

Now, we can simplify the numerator:
(187.584x^2 - 287.6672x) / (-6.8x)

Factoring out an x from the numerator, we have:
x(187.584x - 287.6672) / (-6.8x)

Finally, we can cancel out the x terms:
(187.584x - 287.6672) / -6.8

Therefore, the simplified expression is (-187.584x + 287.6672) / 6.8, which is equivalent to option A: -2.84x - 1.66.

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The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

D

Step-by-step explanation:

Hope this is correct and helps

Answer:

D

Step-by-step explanation:

I'm not completely sure but A is constant cuz it don't move B is increasing C is same as A and D Is decreased

At the school football game, on Friday, were sold 88 student tickets and 272 adult tickets.

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

First, you should convert the text of the problem into equations, thus you can write:

 s + a= 360      (1)

3s + 4a =1352 (2)

where: s=student and a= adult

For solving this question, you can apply the substitution method. Thus, you should follow the steps below:

     1. From equation (1), you have s = 360 - a.

    2.  Replacing s = 360 - a in the equation (2) and find a . Thus,

         3*(360 - a)+4a=1352

         1080 -3a +4a = 1352

         a = 1352- 1080

        a = 272

    3.  Replacing a=272 in the equation (1) and find b. Thus,

         s + a= 360

         s+ 272 = 360

         s = 360 - 272

         s=88

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Cpk measures the relationship between the process variability and the specification limits. If the process mean is not centered within the specification limits, reducing the standard deviation alone may not improve the Cpk.

a. False. It is possible for the Lower Control Limit (LCL) in an Xbar chart to be greater than the Upper Specification Limit (USL). The control limits in statistical process control (SPC) are based on the process variability, while specification limits are determined by customer requirements. If the process is in control but does not meet the customer's specifications, it is possible for the LCL to be greater than the USL.

b. False. Statistical Tolerancing generally offers higher First Time Yield (FTY) compared to Worst Case Tolerancing. Statistical Tolerancing takes into account the statistical distribution of the process and allows for better utilization of the allowable tolerance range, resulting in higher FTY. Worst Case Tolerancing, on the other hand, assumes extreme values for all variables, leading to lower FTY.

c. False. In Worst Case analysis, the probability of interference can be zero or non-zero, depending on the specific scenario. It is possible to have cases where the tolerances do not overlap and there is no interference, resulting in a probability of interference of 0%.

d. True. For sample sizes that are significantly larger than 30, the standard deviation (o) of the process can be approximated by the sample standard deviation (s) in Statistical Process Control (SPC). This approximation holds under the assumption of a normal distribution and large sample sizes where the Central Limit Theorem applies.

e. False. C charts are control charts used for monitoring the count or number of defects per unit. Cpk, on the other hand, is a capability index that measures the process capability to meet specifications. C charts and Cpk serve different purposes in Statistical Process Control (SPC) and are not directly comparable.

f. False. If Cpk < 0, it indicates that the process is not capable of meeting the specification limits. In this case, the process mean is not within the specification limits.

g. True. Design for Manufacturability (DFM) aims to reduce the number of assembly parts, which can help reduce opportunities for defects or occurrences of failure modes. By simplifying the design and reducing the number of parts, the overall Failure Detections (OFDs) can be reduced.

h. True. Defects in a multi-step manufacturing process are generally additive. Each step in the process has its own probability of generating defects, and as the product moves through the various steps, the defects can accumulate.

i. False. FTY (First Time Yield) is calculated as 1 minus DPU (Defects Per Unit). It is valid for DPU values ranging from 0 to 1. DPU values greater than 0.5 indicate a high defect rate, but the formula FTY = 1 - DPU is still applicable.

j. False. Reducing the standard deviation (o) of a process does not always increase the Cpk (Process Capability Index). Cpk measures the relationship between the process variability and the specification limits. If the process mean is not centered within the specification limits, reducing the standard deviation alone may not improve the Cpk. The process mean also needs to be adjusted to ensure that it falls within the specification limits to increase the Cpk value.

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