Lieutenant Commander Data is planning to make his monthly (every 30 days) trek to Gamma Hydra City to pick up a supply of isolinear chips. The trip will take Data about four days. Before he leaves, he calls in the order to the GHC Supply Store. He uses chips at an average rate of seven per day (seven days per week) with a standard deviation of demand of three per day. He needs a 95 percent service probability.

a. If he currently has 40 chips in inventory, how many should he order? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level.)

Number of chips _____

b. What is the most he will ever have to order? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. )

Maximum order quantity _____

Answer:

Step-by-step explanation:

(8 + 2)/(-2 - 1)= -10/3

Answer:

False because the vertical intercept is not always a snap point.

Step-by-step explanation:

In a line graph, the vertical intercept of a line will not always be a point snap. This is because snap points rest on nodes and are used to define boundary or shape of objects in a line graph. So in a case whereby the intercept of the line doesn't rest on a node that defines the boundary or shape of the object, then the vertical intercept may not be a snap point.

False

A vertical intercept is a point where a line crosses the vertical axis, or [tex]\boldsymbol{y-}[/tex]axis.

The vertical intercept of a line in a line graph is not always a snap point. Snap points are used to define the boundary or shape of objects in a line graph, rely on nodes. In the event when the line's intercept does not rest on a node that defines the object's boundary or shape, the vertical intercept may not be a snap point.

False, the vertical intercept of the line may not always be a snap point.

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Answer:

just do it on ur caslc im pretty sure it would work

Step-by-step explanation:

Answer: False

Step-by-step explanation: A linear correlation scatter plot is one which is aimed at establishing a graphical view of the relationship between two quantitative variables. A linear correlation scatter plot could either be positive which is depicted by a positive gradient which infers direct proportionality, this means an increase in variable A results in increase in variable B while a decrease in variable A results in decrease in variable B. Similarly, it could also exhibit a negative gradient which infers a inverse proportionality meaning a decrease in one variable leads to increase of the other and vice-versa. Hence, a linear scatterplot does not only exhibit direct proportionality.

Answer:

the answer is angle addition postulate

Step-by-step explanation:

Given the proof for x = 30, the missing reason in step 3 is: angle addition postulate

Angle addition postulate states that if D is the interior of ∠ABC, therefore, the sum of the smaller angles equals the sum of the larger angle, which is: m∠ABD + m∠DBC = m∠ABC.

The given diagram as shown in the image attached below alongside the proof of x = 30.

T is the interior of straight angle ∠VRS.

m∠VRS = 180° (straight line angle)

Therefore, based on the angle addition postulate, m∠TRS + m∠TRV = 180°.

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Answer:

the area is 9in^3

Step-by-step explanation:

the formula for area of a triangle is 1/2bh, so it's 1/2 x 7.2 x 2.5

Answer:

1. [tex] \boxed{ \boxed{ \sf{mean = 10}}}[/tex]

2. [tex] \boxed{ \boxed{ \sf{median = 10.5}}}[/tex]

3. [tex] \boxed{ \boxed{ \sf{mode = 11}}}[/tex]

4. [tex] \boxed{ \boxed{ \sf{range = 16}}}[/tex]

Step-by-step explanation:

1. Given data : 2 , 3 , 5 , 7 , 8 , 10 , 11 , 11 , 13 , 15 , 17 , 18

Σx = 2 + 3 + 5 + 7 + 8 + 10 + 11 + 11 + 13 + 15 + 17 + 18 = 120

N ( total number of items ) = 12

Finding the mean

To find the mean, divide the sum of all the items by the number of items.

[tex] \boxed{ \sf{mean = \frac{Σx}{N} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = \frac{120}{12} }}[/tex]

[tex] \dashrightarrow{ \sf{mean = 10}}[/tex]

Mean = 10

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

2. Given data : 2 , 3 , 5 , 7 , 8 , 10 , 11 , 11 , 13 , 15 , 17 , 18

N ( total number of items ) = 12

Finding the position of median

[tex] \boxed{ \sf{median = { \frac{n + 1}{2} }^{th \: item}}} [/tex]

[tex] \dashrightarrow{ \sf{median = {( \frac{12 + 1}{2}) }^{th \: } item}}[/tex]

[tex] \dashrightarrow{ \sf{median = {( \frac{13}{2}) }^{th \: }item }}[/tex]

[tex] \dashrightarrow{ \sf{median = {6.5}^{th \: }}} [/tex] item

[tex] \sf{ {6.5}^{th} }[/tex] item is the average of 6 th and 7 th items.

[tex] \sf{∴ \: median = \frac{ {6}^{th}item + {7}^{th} item}{2}} [/tex]

[tex] \dashrightarrow{ \sf{median = \frac{10 + 11}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{median = \frac{21}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{median = 10.5}}[/tex]

Median = 10.5

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

3. The mode of a set of data is the value with the highest frequency.

Given data : 2, 3, 5, 7, 8, 10, 11, 11, 13, 15, 17, 18

Here, 11 has the highest frequency.

So, Mode = 11

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

4. Highest number = 18

Lowest number = 2

[tex] \boxed{ \sf{range = highest \: number - lowest \: number}}[/tex]

[tex] \dashrightarrow{ \sf{range = 18 - 2}}[/tex]

[tex] \dashrightarrow{ \sf{range = 16}}[/tex]

Hope I helped!

Best regards! :D

Answer:

1.125

Step-by-step explanation:

Each piece weighs 1.125 ounces

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that small apple weighs 4.5 ounces.

if it is divided into 4 equal Pieces then

Therefore, Weight of apple = 4.5 ounces

Total pieces = 4

Now Weight of 1 piece = 4.5 ÷ 4

= 1.125

Hence the answer is 1.125 ounces

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Answer:

Hey there!

First, I converted 8 feet to inches. I knew that 12 inches were in a foot, so 96 inches are in 8 feet. If the water rises at 8 inches per hour, at the end of 6 hours, the water will rise 48 inches. Finally, subtracting 48 from 96, we get that there are 48 inches of rope above the water's surface.

Let me know if this helps :)

Answer:

A) [tex]\huge\boxed{3.9}[/tex]

B) [tex]\huge\boxed{5.42}[/tex]

C) [tex]\huge\boxed{125}[/tex]

Step-by-step explanation:

A) 3.892

To round off to nearest tenth, we'll see the digit in hundredths place. If it is greater than 5 or equal to 5, 1 will be added to the tenths place. If it's not, it will remain the same.

So, it will be like:

=> 3.9

B) 5.424

To round off to nearest hundredth, we'll see the digit in thousandths place. If it is greater than 5 or equal to 5, 1 will be added to the hundredths place. If it's not, it will remain the same.

So, it will be like:

=> 5.42

C) 124.62

To round off to nearest whole number, we'll see the digit in tenths place. If it is greater than 5 or equal to 5, 1 will be added to the ones place. If it's not, it will remain the same.

So, it will be like:

=> 125

Answer:

15.25 hours atleast.

Step-by-step explanation:

First  rewrite the expression so it helps us find the answer.

4(h+11)-15=90

Distribute -> Substract from both sides -> Divide 61/4

[tex]4(h+11)-15=90\\4h+44-15=90\\4h+29=90\\4h=61\\61/4= 15.25h[/tex]

Answer:

12 hours 50 minutes

Step-by-step explanation:

8:40 pm to 9:30 am

8:40 pm to 8:40 am = 12 hours

8:40 am to 9:30 am = 50 minutes

The interval between 8:40 pm and 9:30 am is 12 hours and 50 minutes

What is an Interval?

An interval is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers. This range includes all the real numbers between those two numbers.

Given data ,

Let the interval be denoted as [ a , b ] , where a is the start point and b is the final point

Now ,

a = 8:40 pm

b = 9:30 am

The interval can be calculated by ( b - a )

8:40 pm → 8:40 am = 12 hours

8:40 am → 9:30 am = 50 minutes

Therefore , total interval = 12 hours and 50 minutes

Hence , The interval between 8:40 pm and 9:30 am is 12 hours and 50 minutes

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Answer: x = 10

Step-by-step explanation: You add 3 + 7 which equals 10. 10 minus 3 is 7.

Answer:

a: 15 in

b:210 cm

c: 21 yds

Step-by-step explanation:

a: to find the area of a triangle multiply the base and the height, then divide the result by two.

b: to find the area of a trapezoid, multiply the median ( the point where the opposite corners cross) and the height.

c: to find the area of a parallelogram, multiply the lenght and the height.

Hope this helps!

Answer:

(a) (x - 3)² + (y + 4)² + (z - 5)² = 25

(b) (x - 3)² + (y + 4)² + (z - 5)² = 9

(c) (x - 3)² + (y + 4)² + (z - 5)² = 16

Step-by-step explanation:

The equation of a sphere is given by:

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²            ---------------(i)

Where;

(x₀, y₀, z₀) is the center of the sphere

r is the radius of the sphere

Given:

Sphere centered at (3, -4, 5)

=> (x₀, y₀, z₀) = (3, -4, 5)

(a) To get the equation of the sphere when it touches the xy-plane, we do the following:

i.  Since the sphere touches the xy-plane, it means the z-component of its centre is 0.

Therefore, we have the sphere now centered at (3, -4, 0).

Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (3, -4, 0) as follows;

[tex]d = \sqrt{(3-3)^2+ (-4 - (-4))^2 + (0-5)^2}[/tex]

[tex]d = \sqrt{(3-3)^2+ (-4 + 4)^2 + (0-5)^2}[/tex]

[tex]d = \sqrt{(0)^2+ (0)^2 + (-5)^2}[/tex]

[tex]d = \sqrt{(25)}[/tex]

d = 5

This distance is the radius of the sphere at that point. i.e r = 5

Now substitute this value r = 5 into the general equation of a sphere given in equation (i) above as follows;

(x - 3)² + (y - (-4))² + (z - 5)² = 5²  

(x - 3)² + (y + 4)² + (z - 5)² = 25  

Therefore, the equation of the sphere when it touches the xy plane is:

(x - 3)² + (y + 4)² + (z - 5)² = 25  

(b) To get the equation of the sphere when it touches the yz-plane, we do the following:

i.  Since the sphere touches the yz-plane, it means the x-component of its centre is 0.

Therefore, we have the sphere now centered at (0, -4, 5).

Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (0, -4, 5) as follows;

[tex]d = \sqrt{(0-3)^2+ (-4 - (-4))^2 + (5-5)^2}[/tex]

[tex]d = \sqrt{(-3)^2+ (-4 + 4)^2 + (5-5)^2}[/tex]

[tex]d = \sqrt{(-3)^2 + (0)^2+ (0)^2}[/tex]

[tex]d = \sqrt{(9)}[/tex]

d = 3

This distance is the radius of the sphere at that point. i.e r = 3

Now substitute this value r = 3 into the general equation of a sphere given in equation (i) above as follows;

(x - 3)² + (y - (-4))² + (z - 5)² = 3²  

(x - 3)² + (y + 4)² + (z - 5)² = 9  

Therefore, the equation of the sphere when it touches the yz plane is:

(x - 3)² + (y + 4)² + (z - 5)² = 9  

(b) To get the equation of the sphere when it touches the xz-plane, we do the following:

i.  Since the sphere touches the xz-plane, it means the y-component of its centre is 0.

Therefore, we have the sphere now centered at (3, 0, 5).

Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (3, 0, 5) as follows;

[tex]d = \sqrt{(3-3)^2+ (0 - (-4))^2 + (5-5)^2}[/tex]

[tex]d = \sqrt{(3-3)^2+ (0+4)^2 + (5-5)^2}[/tex]

[tex]d = \sqrt{(0)^2 + (4)^2+ (0)^2}[/tex]

[tex]d = \sqrt{(16)}[/tex]

d = 4

This distance is the radius of the sphere at that point. i.e r = 4

Now substitute this value r = 4 into the general equation of a sphere given in equation (i) above as follows;

(x - 3)² + (y - (-4))² + (z - 5)² = 4²  

(x - 3)² + (y + 4)² + (z - 5)² = 16  

Therefore, the equation of the sphere when it touches the xz plane is:

(x - 3)² + (y + 4)² + (z - 5)² = 16

By using the general sphere equation and what we know about planes, we will get:

The general sphere of radius R centered in the point (a, b, c) is given by:

(x - a)^2 + (y - b)^2 + (z - c)^2 = R^2

If we want a sphere centered in (3, -4, 5) we will have:

(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = R^2

a) We want the sphere to touch the xy-plane, (with z = 0) then the radius must be at least equal to the z-component of the point, so we have R = 5, then the equation is:

(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 5^2

b) This time is the yz-plane, so the radius must be equal to the x-component.

(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 3^2

c) Finally, the xz-plane, this time the radius must be equal to the y-component.

(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 4^2

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Answer:

7x + 13y [tex]\leq[/tex] $81

Step-by-step explanation:

The inequality that represents the situation given will be  7x + 13y ≤ 81.

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Answer:Avocados:4

Broccoli:3

Carrots:2

Onions:1

Step-by-step explanation:I did the question it is correct.

She will most likely finish graduation portraits.

I'm not to sure so try not to pick my answer.

Answer:

-5

Step-by-step explanation:

or, f(x) = -x^2+10x+16

or, f(7) = (-7)^2+10*-7+16 (-7*-7=49)

=49-70+16

=65-70

=-5

Answer: The number is -9/7  

Step-by-step explanation:

The statement can be expressed by the equation

7(n + 2) = 5       where n is the number

Now solve for n

7(n+2) = 5   distribute on the left side

7n + 14 = 5

      -14    -14

7n = - 9

n = -9 /7

Answer:

Step-by-step explanation:

3

Answer:

56.077

Step-by-step explanation:

Answer:

56.077

Step-by-step explanation:

i did it in my caculator lol :)

Answer:

Answer A

Step-by-step explanation:Option B is saying that he went back 8 yards and was pushed even farther. Option C is saying he ran foward 17 yards and got pushed back 8. Option D is saying he got pushed foward 17 yards.

Option A is saying that he ran 8 yards and then lost 17 by getting pushed back.

Answer:

2(z+3)

Step-by-step explanation:

2z+6

take out the 2: 2(z+3)

Step-by-step explanation:

[tex] \\ 8 \times 5 = 40 \\ 40 = 4 \times 10 \\ \\ 8 \times 5 = 4 \times 10[/tex]

Answer:

10 cm³

Step-by-step explanation:

Volume of a cube = (Side)³

Volume of bigger cube = (12)³

                                           (12)³ = 1728 cm³

Volume of three cubes = (x)³ + (6)³ + (8)³ = 1728

(x)³ = 1728 - (6)³ - (8)³

(x)³ = 1000

x = ∛1000

x = 10 cm³