X
38°
750
x= -
degrees

Answer:

-1

Step-by-step explanation:

mean, mu = 135.

Standard deviation = 20

X = 115

use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]

to get (115-135)/20 = -1

Answer:

4

Step-by-step explanation:

he will have extra but its better then having nothing , and only extra by 1

Answer: 4 packs

Step-by-step explanation: Dario need to buy 4 packs and get

4 ·6=24 cups

Answer:

4,050 cubic feet

Step-by-step explanation:

The figure is made up of a square pyramid and cube

Therefore:

Volume of the figure = volume of the square pyramid + volume of the cube

✔️Volume of the square pyramid = ⅓*a²h

a = 15 ft

h = 9 ft

Volume of square pyramid = ⅓*15²*9 = 675 ft³

✔️Volume of the cube = s³

s = 15 ft

Volume of the cube = 15³ = 3,375 ft³

✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet

Answer:

6 and 19

Step-by-step explanation:

x+2x+7=25

3x=18

x=6

the other number is 19

Answer:

56°

Step-by-step explanation:

1st reason= alternate angles.

2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.

180-124=56

Answer:

y-intercept is ( 0 , 5 )

Step-by-step explanation:

Answer:

i) Mean = 1933.1817

ii) Range = 5684

iii) Third quartile = 6054

Step-by-step explanation:

Given data :

currency exchange rate : 1 AUD = 5.8 HKD

cost of each ounce = 2 AUD

Fixed shipping cost for each carton = 80 HKD

number of cartons = 20

next determine the total cost of the 20 cartons in HKD

= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost

= ∑ ( 160*2*5.8 + 80 )  + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )

= 81756 HKD

i) find the mean value ( X )

= Total cost / number of cartons

= 81756 / 20 = 4087.8

ii) Find the standard deviation

= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex]      note: std =  √∑(xi-X )^2 / (n-1)

= 1933.1817

iii) Find the range

Range = highest cost - lowest cost   ( values gotten from equation 1 )

           = 7650 - 1936

           = 5684

iv) Determine the third quartile

third quartile = 6054

attached below is the detailed solution

Answer:

Number of cars 16 profit-30

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

7)

now decide which parts we know and what we want to slove for and pick the function that has those in it

we also know that small angle down at the point b/c we can use that the inside of trianle angles add to 180

180 = 75 + 90 + X

15° = X  

where x is the angle at that sharp point on the triangle

I want to use that 15° angle in one of the above formulas as it's Opposite of that side we want to know, and also adjcent to that side we know , so i'll pick TOA  since it's got all of those in it.  Opp = x for this triangle

Tan(15) =  Opp / 15

15* Tan(15) = Opp

4.0192 = Opp

so that's x  

x = 4.0162 units , what ever they are

8)

the angle is 43° and we know the adjacent side and we want the Hypotenuse , now i'll pic  CAH  since it's got those pieces in it

Cos(43)= 31 / Hyp

some algebra just to switch Hyp out of the denominator

Hyp = 31 / Cos(43)

some tapping on my calculator

Hyp = 41.714

That's x for the second triangle

x = 41.71 units , what ever they are

:)

Answer:13

Step-by-step explanation:plug in the the numbers

Answer:20

Step-by-step explanation:

I’m smart

Answer:

x = 9

Step-by-step explanation:

According to Pythagoras theorem a² + b² = c²

Given that

a = x

b = x

c = 9√2

Substitute'

x² + x² = (9√2)²

2x² = 81 * 2

x² = 81

x = √81

x = 9

Hence the value of x is 9

Answer:

-4/7

Step-by-step explanation:

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

m=(1-5)/(9-2)

m=-4/7

Answer:

i think it's -2, -14 quardrant 2

Step-by-step explanation:

Answer

number

4.D

5.B

6.C

Answer:

-12r + 8s

Explanation:

Since there is a subtraction sign in front of 16r, to combine it with 4r, it must be subtracted, resulting in -12 r (to subtract a greater number from a smaller number, subtract the smaller number from the greater number and make it negative). Since there is an addition sign in front of 3s, to combine it with 5s, the two must be added. 5s + 3s = 8s. When combined, the result is -12r + 8s.

See attachment to get your answer. Thanks.

[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]

[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]

The new dimensions of the pool are; Width = 9 and Length = 20.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.

[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]

The root of the expression;

[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]

The dimensions are;

Width = 3 + s = 9

Length = 14 + s = 20

Learn more about the rectangle here;

https://brainly.com/question/15019502

#SPJ2

Answer:

50$

Each book is equal to 80 now here's the math

50x2=100 340-100=240/3=80

380-80=300/6=50

This is all coming from a high schooler so I may be wrong however this is pretty basic and if I'm wrong flame me man

Word Problem:

Take a number, x, double it and then take that result away from 10.

Expression:

[tex]10-(2x)[/tex]

Answer:

214

Step-by-step explanation:

Answer:

15 feet

Step-by-step explanation:

if the dog run is a rectangles then the formula for the perimeter is 2h+2l

if we plug in the numbers we know we get this:

2h+2(5)=40

2h+10=40

2h=30

h=15

Answer:

the expected total amount of time in minutes is 88.4

Step-by-step explanation:

The computation of the expected total amount of time in minutes is given below:

= Standard deviation × needed to answer calls each day

= 1.7 × 52

= 88.4

hence, the expected total amount of time in minutes is 88.4

Answer:

1440°

Step-by-step explanation:

the formula used for this is (n-2)×180° where n=# of sides in the polygon