Which of the b values are solutions to the following equation?
b^2 = 2.56b

Consequently, the solution of the given question of probability comes out to be  P(x<5.67 = 0.63

Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Here,

we use the z-score algorithm to answer this query.

Score Z = x - 40/5

x = the raw score

 population mean= μ 

Population standard deviation is σ

Hence,

x = 40  μ = 5.67, σ =5

Z = 5.67 - 40/5

z=0.37

Probability based on the Z-Table:

P(x<5.67 = 0.63

Consequently, the solution of the given question of probability comes out to be  P(x<5.67 = 0.63 .

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Answer:

2nd

Step-by-step explanation:

Answer: They are not proportional.

Step-by-step explanation: The numerator is multiplied my 0.5 but the denominator is not.

Victoria has 37 dimes and 28 quarters in total.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that Victoria has a total of 65 dimes and quarters worth $10.70.

We can write the system of equations as -

x + y = 65

(1/10)x + (1/4)y = 10.70

Refer to the graph attached. On solving the equation graphically, we get-

x = 37, y = 28

Therefore, Victoria has 37 dimes and 28 quarters in total.

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Answer:51.1

Step-by-step explanation:

Answer:

-x-6

Step-by-step explanation:

-4x - 2 + 3x - 4​

Combine -4x and 3x  -x - 2 - 4​

Combine -2 and -4 -x - 6

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-4x - 2 + 3x - 4}[/tex]​

[tex]\underline{\underline{\huge\text{COMBINE the LIKE TERMS }}}[/tex]

[tex]\huge\text{= (-4x + 3x) + (-2 - 4)}[/tex]

[tex]\huge\text{-4x + 3x = \bf -1x}[/tex]

[tex]\huge\text{-2 - 4 = \bf -6}[/tex]

[tex]\huge\text{= \underline{\bf -1x - 6 }\huge\text{\textsf{\underline{\underline{\underline{or}}}}\underline{ \bf -x - 6 }}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \boxed{\bf -1x - 6} (also known as \boxed{\bf -x - 6})}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]{\huge\text{\frak{Amphitrite1040:)}}}[/tex]

The function of the scenario is f(x) = 18.5(1.06)^x

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

Initial value = $18.50

Rate = 6%

The function of the scenario is then represented as

f(x) = Initial value * (1  + rate)^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 18.5(1 + 6%)^x

Evaluate

f(x) = 18.5(1.06)^x

This means that

x = 10

So, we have

f(10) = 18.5(1.06)^10

Evaluate

f(10) = 33.13

This means that

x = -15

So, we have

f(-15) = 18.5(1.06)^(-15)

Evaluate

f(-15) = 7.72

Hence, the price is $7.72

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The required value of z is "i√6" to the given expression√(6/2 - 9) = z.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.

The expression is given in the question, as follows:

√(6/2 - 9) = z

We have to determine the value of z to the given expression.

As per the question, we have

⇒ √(6/2 - 9) = z

⇒ √(3 - 9) = z

⇒ √(- 6) = z

⇒ √(6 × -1 ) = z

⇒ (√6 × √-1 ) = z    [∵ imaginary number i = √-1 ]

⇒ (√6 × i ) = z

⇒ z = i√6

Therefore, the required value of z is "i√6" to the given expression.

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Therefore , the solution of the given problem of long division is Quotient is 131 and the Remainder is 5

Synthetic division is another way to divide a polynomial but by binary x - c, while c is a constant. The divisor frequently assumes the form of (x a). In synthetic division, you are just interested in the coefficients of the polynomials, unlike long division.

Here,

The given Divisor = 6 and Dividend = 791

Step 1: Take the first digit of the dividend from the left. ...

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

long division is a method for dividing large numbers into steps or parts, breaking the division problem into a sequence of easier steps. It is the most common method used to solve problems based on division.

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Answer:

Speed of car in miles per minute = 0.8 miles per minute

Distance cover by car in 20 minutes = 16 miles

Step-by-step explanation:

Given:

Speed of car = 48 miles per hour

Time taken by car = 20 minutes

Find:

Speed of car in miles per minute

Distance cover by car in 20 minutes

Computation:

Speed of car = 48 miles per hour

1 hour = 60 minutes

So,

Speed of car = 48/60 miles per minute

Speed of car in miles per minute = 0.8 miles per minute

Distance cover by car in 20 minutes = 20 x Speed of car in miles per minute

Distance cover by car in 20 minutes = 20 x 0.8

Distance cover by car in 20 minutes = 16 miles

Answer:

the middle value in a data set when the values are put in order

For example, the set {3,1,2} sorts to {1,2,3} where the median is 2.

Another example: The set {1,2,3,4} has 2 and 3 tied for the middle most position. The midpoint is (2+3)/2 = 5/2 = 2.5 which is the median.

Step-by-step explanation:

number of men =12

time taken = 10 days

time taken to complete the work by 15 men = 12÷10=1.2

= 1.2 ×15 = 18

therefore, 18 days is taken to complete the work by 15 men

Answer:

B

Step-by-step explanation:

Answer:

the answer is B most likely

Answer:

[tex] \displaystyle A _{XYZ - \text{triangle}} = 24 {cm}^{2} [/tex]

Step-by-step explanation:

we have two right angle triangles

we want to figure out the area of XYZ triangle

we are given the base not the altitude (height) so we need to figure the height of XYZ to figure out the area of XYZ

in that case we can use Pythagoras theorem given by

[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]

given that, c=5 and b=3 thus

substitute:

[tex] \displaystyle {3}^{2} + {a}^{2} = {5}^{2} [/tex]

simplify squares:

[tex] \displaystyle 9 + {a}^{2} = 25[/tex]

cancel 9 from both sides:

[tex] \displaystyle {a}^{2} = 16[/tex]

square root both sides:

[tex] \displaystyle {a}^{} = 4[/tex]

we have figured out the height of XYZ triangle

remember that,

[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} bh[/tex]

we have h=4 and b=9+3=12

substitute:

[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} \times 12\times 4[/tex]

reduce fraction:

[tex] \displaystyle A _{ \text{triangle}} = 12\times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{triangle}} = 24[/tex]

hence,

the area of triangle XYZ is 24 cm²

Answer:

b:  5x-4y+31=0

Step-by-step explanation:

Let's look for an equation of the form y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope, m, as (5/4), so we can write:  y = (5/4)x+b.

To find b, just enter the given point, (-3,4), into the above equation and solve for b:

 y=(5/4)x + b

 4=(5/4)(-3) + b   for (-3,4)

 4 = -(15/4)+b

 4 + (15/4) = b

 4 + (3 3/4) = b

b = 7 3/4

The equation becomes y = (5/4)x + 7 3/4

Also written as:  y = (5/4)x + (31/4)

To match this with one of the options, let's multiply by 4 to remove the two fractions:

   y = (5/4)x + (31/4)

   4y = (5)x + (31)

Rearrange so that the expression is = 0:

4y-5x-31 = 0

Now multiply by -1:   -4y+5x+31=0

Rearrange and this will match option b:  5x-4y+31=0

Answer:

61.74%

Step-by-step explanation

Find the vol of container one: Volume = Pi(r^2)(height) = 3.14159*81*10 = 2544.69 cu.ft.

Find the vol of container two: Pi(r^2)(height) = 1570.79 cu.ft.

Now the % of container A that is empty is

(1 - ((Volume A - Volume B)/Volume A))*100% = 61.73%

The relationship between xzw and wzv on the vertical angle is as follows:

∠ xzw + ∠ wzv = 180

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles share the same vertex and they are congruent to each other.

Therefore,

∠vzy ≅ ∠wzx(vertical angles)

Hence, the relationships between angles xzw and wzv  is as follows:

∠ xzw + ∠ wzv = 180 (sum of angles on a straight line)

3x + 17 + x - 9 = 180

4x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 / 4

x = 43

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Answer:

C) The total fixed cost.

Answer:

Part A: Two types of transformations: translation and reflection.

Part B: g(x)=f(x)+k

-1= -1+ k

k= -1+1=0

g(x)=f(x)+k

-1= 5+k

k= -1-5=-6

g(x)=f(x)+k

14= 14+k

k= 0

k= -6,0,-6,0

Part C: For horizontal translation, g(x)=f(x+2)

In case of vertical translation, g(x)=f(x)+10

Therefore, the equation of transformation can be written as g(x)=f(x+2)+10.

Step-by-step explanation:

I thought. :') Ever since yesterday, and today. Hope this helps!

Answer:

easy just think thoroughly

Step-by-step explanation:

1 is A

2 is C

3 is B

4 is D

Answer:

A letter A

Step-by-step explanation:

Segment CE only

mypoints!

The perpendicular line AB is segment CE only. The correct option is A.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. If two lines cross at a right angle, they are said to be perpendicular to one another.

The line CE is making an angle of 90 degrees with the line AB, then the line CE will be perpendicular to the line AB.

Therefore, the perpendicular line AB is segment CE only. The correct option is A.

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Answer:

CH = 22°

Step-by-step explanation:

We know that Arc AC and Arc CH both equal to 180°, therefore we can say;

AC + CH = 180°

158 + CH = 180°

CH = 180 - 158

CH = 22°

Hope this helps!

Answer:

5 ( or ) - 5

Step-by-step explanation:

12/3 = 4

240/4 = 60

m² + 35 = 60

m² = 60 - 35

m² = 25

m = - 5 ( or ) 5

Because,

( - 5 )² = - 5 * - 5 = 25

5² = 5 * 5 = 25

Answer:

y=-28

Step-by-step explanation:

-17-y=11

-y=11+17

-y=28

y=-28

Answer:

[tex]t=75[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{5} t+2-2=17-2[/tex]

Lets solve for [tex]t[/tex].

Subtract 2 from 2.

[tex]\frac{1}{5} t=17-2[/tex]

Subtract 2 from 17.

[tex]\frac{1}{5} t=15[/tex]

Combine [tex]\frac{1}{5}[/tex] and [tex]t[/tex].

[tex]\frac{t}{5} =15[/tex]

Multiply both sides of the equation by 5.

[tex]\frac{t}{5}*5 =15*5[/tex]

[tex]t=75[/tex]

Answer:

15

Step-by-step explanation:

There is a formula for this it is,

B1+B2/2

B1= Base one or TA in this case

B2= Base two or NK in this case

You replace the values with the variable:

B1=12

B2=18

12+18/2 = 30/2= 15

OB=15

The midsegment of the trapezium OB is 15

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

OB = mid segment

Therefore, mathematically,

OB = 1 / 2 (AT + KN)

where

AT = 12

KN = 18

Therefore,

OB = 1 / 2(12 + 18)

OB = 30 / 2

OB = 15

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