42. Carmen spends 5 minutes, correct to the nearest minute, preparing one meal. She spends a total time
of T minutes preparing 30 meals. Between what limits does lie?
[2]​

(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

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Answer:

- 9 / 5 ( or ) - 1.125

Step-by-step explanation:

( x1, y1 ) = ( 10, 6 )

Here,

x1 = 10

y1 = 6

( x2, y2 ) = ( 2, 15 )

Here,

x2 = 2

y2 = 15

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 15 - 6 ) / ( 2 - 10 )

= 9 / - 8

Slope = - 9 / 8

Proper fraction = - 9 / 8

Interger = - 1.125

\(y = - 5x + n \\ \)

\( - 2 = - 5( - 1) + n \\ - 2 = 5 + n \\ n = - 7\)

\(y = - 5x - 7 \\ 5x + y = - 7\)

Answer:

○ \(5x + y = -7\)

Step-by-step explanation:

The formula for forming the equation of a line given a point and a slope is:

\(\boxed{y- y_1 = m(x - x_1)}\),

where:

m = slope (-5)

\(y_1\) = y-coordinate of point (-2)

\(x_1\) = x-coordinate of point (-1).

Substituting these values into the formula:

\(y - (-2) = -5(x - (-1))\)

⇒ \(y + 2 = -5(x + 1)\)

⇒ \(y + 2 = -5x -5\)      [expanding the brackets]

⇒ \(y = -5x -5 - 2\)      [subtracting 2 from both sides]

⇒ \(y = -5x - 7\)

⇒ \(5x + y = -7\)            [adding \(5x\) to both sides]

This means that the second option is correct.

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Answer: 4

Step-by-step explanation:

Well 15/4 is 3.75 so to get the whole number you need to round up

.75 rounds up to .8 now round 3.8 well 3.8 rounded up is 4 there's your answer! :)

Answer:

7.2x10^-3--->.0072

Step-by-step explanation:

the number of relations on set S such that no ordered pair has 'a' as its first element is 2^(n-1) - 1.

To count the number of relations on set S such that no ordered pair in the relation has element 'a' as its first element, we can consider the remaining (n-1) elements of S to form ordered pairs with the elements of S excluding 'a'.

For each of the (n-1) elements of S, we have two choices: either include it in the ordered pair or exclude it. Therefore, for each element, there are 2 possibilities. Since there are (n-1) elements in S, the total number of possible relations can be calculated as 2^(n-1).

However, since the relation must be such that no ordered pair has 'a' as its first element, we need to subtract the cases where 'a' is paired with any of the (n-1) elements. This means we subtract 2^(n-1) - 1.

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The simplified form of the expression x² - 8x +16 is (x - 8)²

Expressions are mathematical statements that involve operations, such as addition, subtraction, multiplication, and division. In this problem, we are given the expression x² - 8x + 16 and asked to simplify it.

The expression can be simplified by using factoring techniques. We can factor the expression as (x - 8)(x - 8), which can be further simplified as (x - 8)2. The simplified expression is (x - 8)²

Therefore, the simplified expression for x² - 8x + 16 is (x - 8)². This shows that the expression is a perfect square, which can be written as (x - 8)², where (x - 8) is the square root of the expression

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Complete Question:

Simplify the expression x² - 8x + 16

Step-by-step explanation:

Find 10%:

100% = 2500

1% = 2500 divide 100

= 25

10% = 25 x 10 = 250

Find the 13% vat:

13% = 25 x 13 = 325

Find the total amount he got charged:

325 + 250 = 575

Total amount he had to pay for dinner + charges:

2500 + 575 = 3075

Answer: Rs. 3075

Answer:

I Think earthier b, or C

Step-by-step explanation:

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Sixteen teachers ordered a book to be used in their classrooms. The book costs $350, which is to be shared equally. The most appropriate representation of how much each teacher will pay is $350 / 16 = $ 21.88.

Since there are a total of sixteen teachers who placed an order for a book and the cost of the book is $ 350.

Thus, in order to determine the amount to be paid by each teacher equally is calculated by dividing the total cost of the book by the number of teachers, as follows

=  $ 350 / 16

=  $  21.875

After rounding off, it is

=   $ 21.88

Thus, each teacher will pay $ 21.88 for the book.

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Answer:

1/4 x 8/9 = 2/9

Step-by-step explanation:

1/4 x 8/9 = 8/36 = 2/9

Answer:

2/9

Step-by-step explanation:

1/4 * 8/9

1 * 8 = 8

4 * 9 = 36

8/36 = 4/18 = 2/9

Answer:

for every minute she walked 200 steps so 200= 1

Answer:

a=-2

Step-by-step explanation:

Though I am unsure if we were to find a but yeah, hope it's correct

Looking at the stem-and-leaf plot, there are 6 gymnasts who scored less than 50 points.

The stem-and-leaf plot shows the total number of points different gymnasts earned in a gymnastics competition. The stems are the tens digits, and the leaves are the units digits. For example, the gymnast who scored 46 points is represented by the number 4|6.

The gymnasts who scored less than 50 points are:

3|2

3|7

4|0

4|2

4|4

4|6

There are a total of 6 gymnasts who scored less than 50 points.

Answer:

x > - 7

Step-by-step explanation:

Given

- 3x < 21

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x > - 7

The solution of inequality - 3x < 21 is,

⇒ x > - 7

We have to given that,

The inequality is,

⇒ - 3x < 21

We can simplify the inequality as,

⇒ - 3x < 21

Divide 3 both side,

⇒ - 3x /3 < 21 / 3

⇒ - x < 7

Take - 1 as common,

⇒ - x < 7

⇒ x > - 7

Therefore, The solution of inequality - 3x < 21 is,

⇒ x > - 7

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FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."

FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.

However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.

PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.

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Answer:y=3/20+12m+6

Step-by-step explanation: The equation for these types of problems are y=mx+b

the y is the second number, so in the first one the y would be -6, so you replace the y with the -6 and the x with -12

so now the equation is -6=-12m+b

you add the -12m to the other side to make 12m+6=b

now onto the second one, the 9 is the y and the 8 is the x, now the equation is 9=8m+b

this time you replace the b with the equation you got earlier (12m+6=b)

So the equation is 9=8m+12m+6

minus the 6 on both sides

3=8m+12m

add the m's

3=20m

3/20=m

Now you replace the m and the b

y=3/20x+12m+6

(Hopefully im sorry if this isnint correct :) )

Answer:

y = 2x + 1 is the correct function.

To obtain 3x² + 5xy from 2x² + 2xy², you would need to add the polynomial x² + 5xy to the original expression.

In order to add two polynomials together, the terms must have the same degree and variable. In this case, we see that 2x^2 and 2xy^2 have different degrees and variables. So, we need to find a polynomial that when added to 2x² + 2xy² will give us 3x² + 5xy.

To do this, we can start by looking at the x² term in 3x² + 5xy. We can see that we need to add x² to our original polynomial. Next, we can look at the xy term in 3x² + 5xy. We can see that we need to add 5xy to our original polynomial.

So by adding x² + 5xy to 2x² + 2xy², we get the desired polynomial of 3x² + 5xy.

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What should be added to 2x² + 2xy² to obtain 3x² + 5xy.

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Answer:

70 dollars

1600 dollars

Step-by-step explanation:

The equation is

\(y=70x+1600\)

where

y = Total pay

x = Number of of copies of History is Fun sold

Cost of History is Fun is 70

Rita's fixed pay is 1600

The change in Rita's total pay for each copy of History is Fun sold she earns 70 dollars.

If she sells zero copies of History is Fun then x = 0

\(y=70\times 0+1600\\\Rightarrow y=1600\)

So, her total pay would be 1600 dollars.

Answer:

4.2

Step-by-step explanation:

cos65°= adj/hyp

cos65°= x/10

x= cos65° * 10

*make sure your calculator is in degree mode

4.226

Answer:

Kiki has 10 candy bars and plans to give 1/4 of a candy bar to each classmate. This means she will be able to give a piece of candy to 10 * 4 = 40 classmates.

Step-by-step explanation:

Answer:

$4,255.557336768

Step-by-step explanation:

I think.

Answer:

40 cm^3

5 x 8 x 1

hope this helps

have a good day :)

Step-by-step explanation:

a) The range of the number of cans found is: 8

b) The range of the number of bottles found is: 5

The range of a dataset is basically  the simplest measurement of the difference between values in a data set. To find the range, we will simply subtract the lowest value from the greatest value while ignoring the others.

a) The range of the number of cans found is simply the difference between the highest number of cans found and the lowest number of cans found.

Thus:

Range of number of cans = 10 - 2

Range of number of cans = 8

b) The range of the number of bottles found is simply the difference between the highest number of bottles found and the lowest number of bottles found.

Thus:

Range of number of bottles = 6 - 1

Range of number of bottles = 5

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To find the probability that the male is heavier than 81kg, we calculate the z-score for the value 81 using the formula z = (x - μ) / σ, where x is the given weight, μ is the mean, and σ is the standard deviation. We then use the standard normal distribution table or a calculator to find the corresponding probability. To find the probability that the female is heavier than the male, we can use the hint given. We subtract the mean weight of the male (75kg) from both the male and female weights to obtain the difference in weights. Since the male and female weights are independent normal random variables, the difference in weights follows a normal distribution. We can then calculate the probability using the standard normal distribution table or a calculator. If the male is above average weight (75kg), we consider the subset of males who weigh more than 75kg. We can calculate the probability that a randomly chosen male from this subset is heavier than a randomly chosen female using the same approach as in part

To find the probability that the male is heavier than 81kg, we calculate the z-score for 81 using the formula z = (81 - 75) / 8. The z-score is 0.75. We then use the standard normal distribution table or a calculator to find the probability associated with a z-score of 0.75, which is approximately 0.2266.To find the probability that the female is heavier than the male, we calculate the difference in weights: female weight - male weight. The difference follows a normal distribution with mean (52 - 75) = -23kg and standard deviation sqrt((6^2) + (8^2)) = 10kg. We then calculate the probability that the difference is positive, which is the probability that the female is heavier than the male. Using the standard normal distribution table or a calculator, we find this probability to be approximately 0.3085.

If the male is above average weight (75kg), we consider the subset of males who weigh more than 75kg. We calculate the probability that a randomly chosen male from this subset is heavier than a randomly chosen female. Using the same approach as in part (b), we calculate the difference in weights for this subset: female weight - (male weight - 75). The difference follows a normal distribution with mean (52 - (75 - 75)) = 52kg and standard deviation sqrt((6^2) + (8^2)) = 10kg. We can then calculate the probability that the difference is positive, which represents the probability that a randomly chosen male from the subset is heavier than a randomly chosen female.

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Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

The answer to the all parts given below.

A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function.

For 5 cuts number of pieces will be 11 pieces.

General formula:

Tn= 2n+1

For 153 rope pieces number of rope cutting

2n+1=153

2n= 152

n= 76

For 11 cuttings rope pieces will be

2(11)+1

= 23

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