A baker knows that the daily demand for mango pies is a random variable that follows the normal distribution with a mean of 45.4 pies and a standard deviation of 5.3 pies. Find the demand that has a 5% probability of being exceeded. Use a TI-83, TI-83 plus, or TI-84 calculator.

Round your answer to two decimal places.

Answer:

6/5

Step-by-step explanation:

Answer:

There is no mode

Step-by-step explanation:

Mode is the most occurring no. and there's no number which is the most occurring.

Answer:

No mode

Step-by-step explanation:

In a set of numbers, mode is the most repeated number.

1, 4, 24, 14, 98, 37

There are no repeated numbers in this set.

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer:

f(-2)=-2+6

-f(-2)=4

f(0)=0+6

-f(0)=6

f(5)=5+6

-f(5)=11

Step-by-step explanation:

Anywhere you see x in the equation, replace it with the value of x and then simplify

Answer: its 2

Step-by-step explanation: An intercept is where the line crosses over the x or y axes.

Answer:

$54,576

Step-by-step explanation:

Answer:

A polyhedron is a 3-dimensional solid made by joining together polygons. The word 'polyhedron' comes from two Greek words, poly meaning many, and hedron referring to surface. The polyhedrons are defined by the number of faces it has.

Step-by-step explanation:

Answer: Exact form: 107/12

              Decimal form: 8.916

              Mixed form: 8 11/12

Step-by-step explanation:

Step-by-step explanation:

=81 +3

6. 4

= 81×4+3×6

24

= 324+18

24

= 342

24

= 14.25 ans

To solve this equation, we need to follow the next steps:

1. Apply the distributive property:

2. Add the like terms, and subtract 12 to both sides of the equation:

3. Divide both sides of the equation by -23 (to isolate b):

Then, the answer to this equation is {-6} (option A).

Answer:

C.

Step-by-step explanation:

A. 4 - 2 = 2    not zero

B.

$50 in 1 account

$50 in another account

Not zero

C.

6 deg - 6 deg = 0 deg

This is zero

D.

$8 - $3 = $5

Not zero

Answer:

c

Step-by-step explanation:

Answer:

2 1/4 ,2 1/2, 2 3/4, 3 1/4 ,3 1/2, 3 3/4, 4 1/4 , 4 1/2, 4 3/4

Step-by-step explanation:

These are the mixed numbers.

The recursive rule is f(n) = f(n - 1) * 2; f(1) = 9 and the explicit rule is f(n) = 9(2)^n-1

The recursive rule

From the question, we have the following parameters that can be used in our computation:

The table

The table definitions imply that we simply multiply 2 to the previous term to get the current term

This means that

f(n) = f(n - 1) * 2

Where

f(1) = 9

The explicit rule

The table definitions imply that we simply multiply 2 to the previous term to get the current term

a = 9

r = 2

So we have

f(n) = a * r^n-1

This gives

f(n) = 9(2)^n-1

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Answer:

How many more barrels of gasoline then diesel was produced last year gasoline 34% diesel 29% total crude oil -60 million barrels Total.

Step-by-step explanation:

The distance AB between the two points is 5.7 units

From the question, we have the following parameters that can be used in our computation:

A = (2, 2) and B =(-2, -2)

The distance between the two points can be calculated using the following distance equation

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (2, 2) and (-2, -2)

Substitute (x, y) = (2, 2) and (-2, -2) in distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

distance = √[(2 + 2)² + (2 + 2)²]

Evaluate

distance = 5.7

Hence, the distance is 5.7 units

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Answer:

4/3

Step-by-step explanation:

just do the lcm of denomination and after that start solving

9514 1404 393

Answer:

  1 23/24

Step-by-step explanation:

Fractions can be added when they have the same denominator. Then the addition is performed by adding the numerators, and expressing the sum over the common denominator.

Here, your fractions have denominators of 8 and 6. Usually, we want to find a "least common denominator" to use to express the fractions. There are various ways to find that value. One of the easiest is to consult your memory of multiplication tables to find the smallest number that both a multiple of 8 and a multiple of 6. That number is 24.

An equivalent fraction is one that has the same value, but a different denominator than the one it is being compared to. Equivalent fractions can be made by multiplying by "1" in the form of "a/a" where "a" is any non-zero value. Here, it is useful to multiply 9/8 by 3/3 to make the equivalent fraction 27/24, which has a denominator of 24.

Similarly, we can multiply 5/6 by 4/4 to get the equivalent 20/24, which also has a denominator of 24.

These two fractions can now be added:

  \(\dfrac{9}{8}+\dfrac{5}{6}=\dfrac{27}{24}+\dfrac{20}{24}=\dfrac{27+20}{24}=\dfrac{47}{24}\)

If you want to turn this into a "mixed number", you need to find how many times 24 goes into 47: 47÷24 = 1 remainder 23. The quotient is the integer part of the mixed number; the remainder is the numerator of the fractional part. Then the mixed number value of the sum is ...

  \(\dfrac{47}{24}=1\dfrac{23}{24}\)

_____

Additional comments

The product of the denominators can always serve as a common denominator. That may not be the "least" common denominator. If you use that here, you would have ...

  \(\dfrac{9}{8}+\dfrac{5}{6}=\left(\dfrac{9}{8}\cdot\dfrac{6}{6}\right)+\left(\dfrac{5}{6}\cdot\dfrac{8}{8}\right)=\dfrac{54+40}{48}=\dfrac{94}{48}\)

This result can be reduced by removing a factor of 2 from numerator and denominator to give 47/24, the sum we had above.

The "least common denominator" (LCD) is the Least Common Multiple (LCM) of the denominators. It can be found by forming the product of the unique factors of the denominators. Here, we have 8 = 2·2·2 and 6 = 2·3. The LCD is the product 2·2·2·3. We recognize that 2³ and 3 are unique factors that need to contribute to the LCD. 2 is subsumed by 2³.

As you can see from the factoring, 2 is a common factor of both numbers. Another way to find the LCD (or LCM of the denominators) is to form their product (8×6 = 48) and divide that by the greatest common factor (GCF), which is 2. (48/2 = 24, the LCD) Sometimes it is easier to find the GCF and compute (product/GCF) than to find the LCM using factoring.

__

If you don't mind the possibility of having to reduce the resulting fraction, the sum of fractions can always be computed as ...

  \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\)

This formula computes 94/48 as the sum of these fractions, effectively leaving out the middle step (9/8×6/6 +...) shown in the work above. I find this especially useful for adding rational expressions, not just numerical fractions.

Answer:

10

Step-by-step explanation:

-7y + 35 + 8 = -27

collect like terms

-7y = -27 - 35 - 8

-7y = -70

y= -70/-7

y= 10

The linear functions that define their distances are given as follows:

The number of hours after noon in which they will be the same distance away from the stadium is of:

8 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

In the context of this problem, the meaning of each parameter is:

They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.

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Answer:

2 units

Step-by-step explanation:

The x-coordinates are

School = 2

House = 5

Count the units (lines) between the two x-coordinates

There are 2 units between them

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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Answer: What shape is this? A triangle?

Step-by-step explanation:

Assuming that this is a triangle with no 90 degree angles:

-5x + 32 = 180

     -32   =  -32

---------------------

-5x = 148

----- = -----

-5   =   -5

x = -29.6

Assuming that this is a triangle with 90 degree angles:

-5x + 32 = 90

       -32  = -32

----------------------

-5x   =  58

-----  =  -----

-5   = -5

x = 11.6

For both of these you would get a decimal so you need to provide an image or more information to your question

Answer:

\(y=-\dfrac{1}{2}x-3\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)

Given equation:

\(y=-\dfrac{1}{2}x+1\)

Parallel lines have the same slope.

Therefore, the slope of the line parallel to the given equation is:

\(m=-\dfrac{1}{2}\)

Substitute the found slope and given point (-4, -1) into the point-slope formula:

\(\implies y-(-1)=-\dfrac{1}{2}(x-(-4))\)

\(\implies y+1=-\dfrac{1}{2}(x+4)\)

\(\implies y+1=-\dfrac{1}{2}x-2\)

\(\implies y=-\dfrac{1}{2}x-3\)

Therefore, the equation of the line passing through (-4, -1) and parallel to the given equation is:

\(\boxed{y=-\dfrac{1}{2}x-3}\)

Answer:

C -1

Step-by-step explanation:

in such a case the simplest way is to simply try the 4 numbers and see :

x² - 3x - 4 = |x + 3| - 2

x² - 3x - 2 = |x + 3|

A x = -4

(-4)² - 3×-4 - 2 = |-4 + 3|

16 + 12 - 2 = 1

26 = 1

wrong.

B x = -3

(-3)² - 3×-3 - 2 = |-3 + 3|

9 + 9 - 2 = 0

16 = 0

wrong.

C x = -1

(-1)² - 3×-1 - 2 = |-1 + 3|

1 + 3 - 2 = 2

2 = 2

correct.

D x = 4

4² - 3×4 - 2 = |4 + 3|

16 - 12 - 2 = 7

2 = 7

wrong.

The question asks the value of f(x) when x = 4 in the equation

x = 4 is less than or equal to 4, so we use the first equation in the piecewise functions => {4x when x≤4}

Solving for f(x):

4(4)=16

16 is the answer!

Hope it helps!

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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The expression to describe the situation is $1500m, which represent the total amount you’ve earned.

Expressions can be regarded as the mathematical statements which posses  two terms  or more as well as  numbers or variables, along with an operator.

sincere the total earning is $1500 a month,Then it can be expressed in term of m as   $1500m

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Answer:

0.16 -0.64 2.56

Step-by-step explanation:

the key is in bringing this to 2 equations with 2 variables. I focused on a1 (the first term of the sequence) and r (the common ratio of the original sequence).

a1×r = a2

a2×r = a3 = a1×r²

now, when we increase the second term by 2 we suddenly have an arithmetic sequence. that means that the differences between the terms must be the same.

a1×r + 2 - a1 = a3 - (a1×r + 2) = a1×r² - (a1×r + 2)

a1×r² - 2×a1×r + a1 - 4 = 0

and now, when we increase the third term by 9, we get a geometric sequence again. that means that the ratio of the terms must be the same.

(a1×r² + 9)/(a1×r + 2) = (a1×r + 2)/a1

(a1²×r² + 9×a1)/(a1×r + 2) = a1×r + 2

a1²×r² + 9×a1 = (a1×r + 2)² = a1²×r² + 4×a1×r + 4

4×a1×r - 9×a1 + 4 = 0

9×a - 4 = 4×a1×r

r = (9×a1 - 4)/(4×a1)

now we use that identity in the first equation :

a1×(9×a1 - 4)²/(4×a1)² - 2×a1×(9×a1 - 4)/(4×a1) + a1 - 4 = 0

(81×a1² - 72×a1 + 16)/(16×a1) - (9×a1 - 4)/2 + a1 - 4 = 0

81×a1² - 72×a1 + 16 - 8×a1×(9×a1 - 4) + 16×a1² - 64×a1 = 0

81×a1² - 72×a1 + 16 - 72×a1² + 32×a1 + 16×a1² - 64×a1 = 0

25×a1² - 104×a1 + 16 = 0

the general solution for a quadratic equation is

(-b ± sqrt(b² - 4ac))/(2a)

in our c case

a = 25

b = -104

c = 16

so,

a1 = (104 ± sqrt(104² - 4×25×16))/50

a1 = (104 ± sqrt(10816 - 1600))/50

a1 = (104 ± sqrt(9216))/50

a1 = (104 ± 96)/50

first a1 = (104 + 96)/50 = 200/50 = 4

and the corresponding r = (9×4 - 4)/(4×4) = 2

that was your original solution.

the second a1 = (104 - 96)/50 = 8/50 = 4/25 = 0.16

the corresponding r = (9×0.16 - 4)/(4×0.16) = -4

that gives us a the original sequence

0.16 -0.64 2.56

then adding 2 to the second term gives us

0.16 1.36 2.56 with the arithmetic difference of 1.2.

and then after adding 9 to the third term gives us the geometric sequence

0.16 1.36 11.56 with the common ratio of 8.5.

In this exercise we have to use the knowledge of geometric progression to find three specific numbers, in this way we can say that these numbers correspond to;

\(0.16\\ -0.64\\ 2.56\)

Then using the formula of the geometric progression we find that:

\(a_1*r = a_2\\a_2*r = a_3 = a_1*r^2\)

now, the differences between the terms must be the same:

\(a1*r + 2 - a_1 = a_3 - (a_1*r + 2) = a_1*r^2 - (a_1*r + 2)\\a_1*r^2 - 2*a_1*r + a_1 - 4 = 0\)

and now, when we increase the third term by 9,so we have:

\((a_1*r^2 + 9)/(a_1*r + 2) = (a_1*r + 2)/a_1\\(a_1^2*r^2 + 9*a_1)/(a_1*r + 2) = a_1*r + 2\\a_1^2*r^2 + 9*a_1 = (a_1*r + 2)^2 = a_1^2*r^2 + 4*a_1*r + 4\\4*a_1*r - 9*a_1 + 4 = 0\\9*a - 4 = 4*a_1*r\\r = (9*a_1 - 4)/(4*a_1)\)

Now we use that identity in the first equation :

\(a_1*(9*a_1 - 4)^2/(4×a_1)^2 - 2*a_1*(9*a_1 - 4)/(4*a_1) + a_1 - 4 = 0\\(81*a_1^2 - 72*a_1 + 16)/(16*a_1) - (9*a_1 - 4)/2 + a_1 - 4 = 0\\81*a_1^2 - 72*a_1 + 16 - 8*a_1*(9*a_1 - 4) + 16*a_1^2 - 64*a_1 = 0\\25a_1^2 - 104a_1 + 16 = 0\)

The general solution for a quadratic equation is

\((-b + \sqrt{(b^2 - 4ac))/(2a)\)

We have that:

so, put the numbers in the formula we find:

\(a_1=4 \\a_1=0.16\)

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