Question 2 (8 marks) A fruit growing company claims that only 10% of their mangos are bad. They sell the mangos in boxes of 100. Let X be the number of bad mangos in a box of 100. (a) What is the dist

Answer:

B; 125

Step-by-step explanation:

45% of 500 is 225. 20% of 500 is 100

225 - 100 = 125

Hope this helps :)

Answer:

B)125

Step-by-step explanation:

i'm just guessing since i don't know the answer. I hope it's right

The probability that a voter is either female or Democrat is 0.64 or 64%.

To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.

From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.

To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).

So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.

Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.

Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.

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Answer:

112 62 174

8 78 86

120 140 260

Step-by-step explanation:

You can solve this problem easily by looking at the total amounts compared to the information you already have. Once you do this, you can simply subtract them from each other to find the first two empty boxes, then you can just add across for the totals for the boxes on the right.

The complete two-way table looks like:-

.                                                        Identified As:

                                               Savers   Spenders   Total

                        Savers              112           62           174

Wants to be:    Spenders             8            78             86

                        Total                 120          140           260

A two-way table displays the frequencies or relative frequencies of two categorical variables. One category is represented by rows, while the other is represented by columns.

In the question, we are asked to complete the two-way table as per the given information.

In the first row, second column:

The box needs the data for the number of spenders who want to become savers.

In the provided information, we have been told that of the 140 people who identified themselves as spenders, 78 said they would continue being spenders, while the rest said they would like to be savers.

Thus, the number of spenders who want to be savers = 140 - 78 = 62.

Hence, entry is 62.

In the first row, third column:

The box needs the data for the number of people who now want to continue as savers, or become one.

This can be shown as the sum of the first two readings of the row.

Thus, the total number of people who now want to continue as savers, or become one = 112 + 62 = 174.

Hence, entry is 174.

In the second row, first column:

The box needs the data for the number of savers who want to become spenders.

In the provided information, we have been told that of the 120 people who identified themselves as savers, 112 said they would continue being savers, while the rest said they would like to be spenders..

Thus, the number of savers who want to be spenders = 120 - 112 = 8.

Hence, entry is 8.

In the second row, third column:

The box needs the data for the number of people who now want to continue as spenders, or become one.

This can be shown as the sum of the first two readings of the row.

Thus, the total number of people who now want to continue as spenders, or become one = 8 + 78 = 86.

Hence, entry is 86

Thus, the complete two-way table looks like:-

.                                                        Identified As:

                                               Savers   Spenders   Total

                        Savers              112           62           174

Wants to be:    Spenders             8            78             86

                        Total                 120          140           260

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The statement that is false is: Correlation is used to define the variables of only non-linearly related data sets.

Correlation is a measure of the relationship between two variables of a data set and can be positive, negative, or 0. It is used to measure the degree to which the two variables of a data set resemble each other, regardless of whether the data set is linear or non-linear. The correlation between any two variables can be easily measured and compared, allowing for more detailed analysis of the data set.

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Answer:

m = 2

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

(2, 4), (6, 12)

We see the y increase by 8 and the x increase by 4, so the slope is

m = 8/4 = 2

So, the slope of the line is 2

Answer:prices = {"banana": 4, "apple": 2, "orange": 1.5, "pear": 3}

stock = {"banana": 6, "apple": 0, "orange": 32, "pear": 15}

for item in prices:

   print item + ":"

   print "price: " + str(prices[item])

   print "stock: " + str(stock[item])

Step-by-step explanation:

prices = {"banana": 4, "apple": 2, "orange": 1.5, "pear": 3}

stock = {"banana": 6, "apple": 0, "orange": 32, "pear": 15}

for item in prices:

   print item + ":"

   print "price: " + str(prices[item])

   print "stock: " + str(stock[item])

As per the unitary method, the number of soda bottles required to fill the 26 party bottle is approximately 104.

Unitary method in math is known as the method of finding the value of the required number of a quantity by first finding the value of the unit quantity

Here we have given that a barrel can fill up 72 soda can and the same barrel can fill up 18 party bottle.

Here we need to fill 26 party bottle, so it need the number of barrel as,

=> 1 barrel = 18 party bottles.

Then for 26 party bottle it need the following number of barrels,

=> 26/18

=> 1.44

Here we also know that a barrel can fill up 72 soda can.

So, if we have 1.44 barrel, then the number of soda bottle is calculated as,

=> 1.44 x 72

=> 103.68

Therefore, approximately 104 soda bottles are required.

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Hence, the probability is 0.0985.

To calculate the probability of demand exceeding the reorder point when the reorder quantity is set at 143 units, we need to follow these steps:Calculate the mean of demand during lead time (µd)Calculate the standard deviation of demand during lead time (σd) Calculate the reorder point (R)R = µd + z * σd (where z is the standard normal deviation corresponding to the service level)Calculate the safety stock (S)S = R - d, where d is the demand rate Calculate the order quantity (Q)Q = R + S - I (where I is the inventory in hand)

Calculate the probability of demand exceeding the reorder point. Probability (P) = 1 - P (Z ≤ ((R - µd) / σd))The mean of demand during lead time (µd) can be calculated as the product of the average daily demand (D) and lead time (L).

µd = D * L = 26 * 8 = 208 units.

The standard deviation of demand during lead time (σd) can be calculated using the formula below

:σd = √(D * L * σ^2) = √(26 * 8 * 12^2) = 99.91 units

.The reorder point (R) can be calculated using the formula below:R = µd + z * σd, where z is the standard normal deviation corresponding to the service level. Since the service level is not given in the problem, we assume a service level of 90%. The corresponding z-value for a 90% service level is

1.28.R = 208 + 1.28 * 99.91 = 338 units.

The safety stock (S) can be calculated using the formula below:S = R - d, where d is the demand rate. In this case, the demand rate is given as 26 units per day.

S = 338 - 26 = 312 units.

The order quantity (Q) can be calculated using the formula below:Q = R + S - I, where I is the inventory in hand. In this case, the inventory in hand is not given, so we assume it to be zero

.Q = 338 + 312 - 0 = 650 units.

To calculate the probability of demand exceeding the reorder point, we need to standardize the random variable Z using the formula below:Z = (X - µd) / σd, where X is the random variable. In this case,

X = R = 338.Z = (338 - 208) / 99.91 = 1.303.

The probability of Z being less than or equal to 1.303 can be found using the standard normal table. The value from the table is 0.9015.Therefore, the probability of demand exceeding the reorder point when the reorder quantity is set at 143 units is:

P = 1 - P (Z ≤ ((R - µd) / σd))P = 1 - 0.9015 = 0.0985

(rounded to four decimal places).

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Answer:

Your answer would be: almost $5, but the actual amount is $4.67.

Reason being: when you divide $140 by 30, you get $4.67, and rounding to the nearest number, you get $5.

Therefore, the answer is $4.67

Step-by-step explanation:

Hi!

From what I know, the answer is: $5,503.

I got that answer by first multiplying 40 to 12.50, which was 500, then added .05% to 500, which ended up being 500.25. Then multiplied 500.25 with 12 (because there's 12 months in a year.) which was 6,003. I then subtracted 500 (because she opened it with 500) from 6,003 which was, the answer, $5,003.

Hope this helps! Sorry if its wrong, I was seriously racking my brain trying to get you this answer lol.

Answer: 4 side faces and one base faces I believe im sorry times a 100 if its wrong

Step-by-step explanation:

Answer:

First 4 terms are a, 3a, 3^2 a and 3^3 a.

The numbers are:

4, 12, 36, 108.

Step-by-step explanation:

This is a geometric sequence and we can write it as:

a, ar, ar^2, ar^3      <---- the first 4 terms.

Here the common ratio r = 3 and the 4th term is 108 so:

a(3)^3 = 108

So the first term a =  108 / 3^3

= 108/27

= 4.

So the second number = 3*4 = 12  and 3rd is 12*3 = 36.

Answer:

the 20th day

Step-by-step explanation:

Day Spanish) 4,8,12,16,20

Day Math) 10,20

Answer:

Every 20 days you will have both clubs.

Step-by-step explanation:

Find least common multiple and it will be reccuring

You need to find the least common multiple of 4 and 10.

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

10, 20, 30, 40

As you can see every 20 days you will have both, 20, 40, 60, 80, 100, etc etc.

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Answer:  2.39

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Given:  \(\textsf{185/100 + 50\% + 4\%}\)

Find:  \(\textsf{Convert to simplified decimal}\)

Solution: In order combine the numbers together we must first convert all of them to a fraction.  The first number is already in fraction form, but the other ones are in a percent form.  What a percent value means is just a number out of 100 which we can use to change 50% to 50/100 and 4% to 4/100.

Now we have 185/100 + 50/100 + 4/100 which we can combine together to 239/100 to which we can use a calculator and figure out that the answer in decimal form would be 2.39

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{185}{100} + 50\% + 4\%}\\\\\mathsf{= \dfrac{185}{100} + \dfrac{50}{100} + \dfrac{4}{100}}\\\\\mathsf{= \dfrac{185\div 5}{100\div 5} + \dfrac{50\div50}{100\div50} + \dfrac{4\div4}{100\div4}}\\\\\mathsf{= \dfrac{37}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= 1\dfrac{17}{20} + \dfrac{1}{2} + \dfrac{1}{25}}\\\\\mathsf{= \dfrac{47}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2 \dfrac{7}{20} + \dfrac{1}{25}}\\\\\mathsf{= 2\dfrac{39}{100}}\\\\\mathsf{= \dfrac{239}{100}}\\\\\mathsf{\approx 2.39}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{239}{100}\ or\ 2.39}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

Choice C.

Step-by-step explanation:

There are students listening to music for 6.5 hours. So, the students will be in a range where the numbers on the x-axis go to 9.

According to the table, there are 11 students who listen to music for 0 to 3 hours. There are 3 students who listen to music for 3 to 6 hours. There is 1 student listening to music from 6 to 9 hours. This data matches up with the histogram from Choice C.

Hope this helps!

(a) b = 0

(b) arg(-9) = π

(c) |w/w| = 1

(a) To determine z/w, we need to perform the division of complex numbers. We have z = 2 and w = a + bi.

z/w = (2)/(a + bi)

To make z/w real, the imaginary part of the denominator should cancel out.

The imaginary part of the denominator: bi

The imaginary part of the numerator: 0

For the imaginary parts to cancel out, bi = 0. This implies b = 0.

Therefore, b = 0 in terms of a such that z/w is real.

(b) To find arg(-9), we need to determine the argument (angle) of the complex number -9.

arg(-9) = arg(9 * e^(iπ))

Since the magnitude of -9 is 9 and it lies on the negative real axis, the argument is π.

Therefore, arg(-9) = π.

(c) To find |w/w|, we need to determine the modulus (absolute value) of the complex number w divided by itself.

|w/w| = |1| = 1.

Therefore, |w/w| = 1.

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The score of Larry is 32 points.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Ervin scores half as many points in a game as Larry.

If Larry scored x points,

then the points of Ervin are x/2 points.

Here, x = 16,

So,

Ervin's points = Larry's points

The equation is,

16 = x/2

x = 16(2)

x = 32 points

Therefore, 32 points are the score of Larry.

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Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Reciprocal of -32/7 = -7/32

Answer:

-32/7 = -7/32

Step-by-step explanation:

By using the definition of a rectangle on a Cartesian plane, the coordinates of the vertices C and D are C(x, y) = (5, - 12) and D(x, y) = (- 4, - 12).

Rectangles are quadrilaterals with two pairs of parallel sides of equal length and four right internal angles. On a Cartesian plane, we find define the locations of the vertices of the rectangle below:

A(x, y) = (a, c), B(x, y) = (b, c), C(x, y) = (b, d), D(x, y) = (a, d)

If we know that a = - 4, b = 5, c = - 2, d = - 12, then the coordinates of the vertices C and D are C(x, y) = (5, - 12) and D(x, y) = (- 4, - 12).

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Answer:

m= - 3

b= 3

Step-by-step explanation:

Answer:

Vertex angle = 124°

Step-by-step explanation:

m<BAC = m<BCA (base angles of isosceles ∆ are congruent)

7x + 1 = 5x + 9

Collect like terms

7x - 5x = -1 + 9

2x = 8

divide both sides by 2

x = 4

Vertex angle = 180 - ((7x + 1) + (5x + 9)) (sum of triangle)

Plug in the value of x

Vertex angle = 180 - ((7*4 + 1) + (5*4 + 9))

Vertex angle = 180 - (29 + 29)

Vertex angle = 124°

The equation for the plane through P₀ (-1, -7, 2) perpendicular to the following line. x = -1+t , y= -7-5t , z= -2t is x - 5y - 2z = 30

The plane is passing through point P₀(-1, -7, 2)

And the parametric equation of the line is:

x = -1+t , y= -7-5t , z= -2t

L: (-1, -7, -2) + t(1, -5, -2)

The required plane passes through P₀ and perpendicular to line L.

The direction vector of L is V = <1, -5, -2>.

The equation of a plane with normal vector <1, -5, -2> passing through a given point P(x₁, y₁, z₁) is

1(x - x₁) - 5(y - y₁) - 2(z - z₁) = 0

The equation of plane P passing through point P₀ (-1, -7, 2) is:

1(x - (-1)) - 5(y - (-7)) - 2(z - 2) = 0

(x + 1) - 5(y + 7) - 2(z - 2) = 0

x - 5y-2z + 1 - 35 + 4 = 0

x - 5y - 2z = 30 is the required equation of the plane

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The complete question is:

Find the equation for the plane through P₀ (-1, -7, 2) perpendicular to the following line. x = -1+t , y= -7-5t , z= -2t

Answer: The answer is C 11/3

Isolate the variable by dividing each sides by a factors that don't contain the variable.

Answer: 2908.92435 inches.

Step-by-step explanation for shape 1: A = 2(wl + hl + hw) = 2 · (30 · 13 + 13 · 13 + 13 · 30) = 1,898 inches.

Step-by-step explanation for shape 2:

Using the formulas:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving for A:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·30+13·30+9·30+1

2·﹣94+2·(9·13)2+2·(9·9)2﹣134+2·(13·9)2﹣94≈1010.92435

Step-by-step explanation for total volume: 2908.92435 inches.

Answer: 6825 in^3

Step-by-step explanation:

First divided the whole shape into two shapes.

The first shape will be a rectangular prism and the second shape will be a triangular prism.

The rectangular prism will have a length of 13, a width of 30 and the height of 13.

Now find the volume of the rectangular prism by multiplying the length by the width then by the height.

V= 13 * 30 * 13

V = 5070

This means the volume of the rectangular prism is 5070 cubic inches.

Now will will need to find the volume of the triangular prism.

The triangular prism has a triangle at the base, with a base of 9 and a height of 13. If you multiply the the area of the base by the whole height of the triangular prism which is 30 then you will get the volume.

Find the area of the base.

The area  is base time height times 1/2.

A = 9 * 13 * 1/2

A =  58.5  

Now multiply the area by 30.

58.5 * 30 = 1775

Finally, add both volumes to find the full volume of the figure.

5070 + 1775 = 6825

Answer:

k is 10

Step-by-step explanation:

Answer:

D. x > -3 and x < 1

Step-by-step explanation:

There is an absolute value in this inequality, so we have to solve for 2 instances -- where the quantity in the absolute value is positive, and where it is negative.

First, we will isolate the absolute value by dividing by 3:

3|x + 1| < 6

|x + 1| < 2

Then, because this is a less-than case of the absolute value, we can put it in between the positive and negative absolute values of the other side:

-|2| < x + 1 < |2|

-2 < x + 1 < 2

and solve.

-3 < x < 1

(this can also be written as x > -3 and x < 1)

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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Answer:

8

Step-by-step explanation:

3+2=5

5 x 8 = 5 x 8

Answer:

8

Step-by-step explanation:

2 numbers are in perenticies so do them first 3+2 = 5 Then wait dont do nothing with that do 5x8 to get what to need to get 5 x? to witch is

40 so 8 would be the correct answer