Evaluate the expression if x = - 8 , y = 7 , and z = - 11 .

- 11 - z =?

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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a) The proportion of observations, P(z < -0.67) = 0.2514.

b) The proportion of observations, P(z > -0.67) = 0.7486.

c) The proportion of observations, P(z < 1.46) = 0.9279.

d) The proportion of observations, P(-0.67< z < 1.46) = 0.6765.

A z-table, or standard normal table, helps to reveals what percentage of values fall below a certain z-score in a normal distribution. We have a standard normal table present above .

a) P( z < -0.67 )

Split -0.67 such as (-0.6 + 0.07 ) and look -0.6 in first column and 0.07 in first row then look cross value. So, P( z < -0.67 )

= 0.2514

b) P( z > - 0.67 ) = 1 - P( z < -0.67 )

From part (a ) , P( z < -0.67 ) = 0.2514

So, P( z > - 0.67 ) = 1 - 0.2514 = 0.7486

=> P( z > - 0.67 ) = 0.7486

c ) P( z < 1.46 ) = 1 - P( z < -1.46 )

Using Table, P( z < -1.46 ) is,

=> P( z < -1.46 ) = 0.0721

So, P( z < 1.46 ) = 1 - 0.0721 = 0.9279

=> P( z < 1.46 ) = 0.9279

d) P(-0.67 < z < 1.46 ) = P( z < 1.46) - P( z < -0.67 ) from part( a) , P( z < -0.67 ) = 0.2514

and from par (c) , P( z < 1.46 ) = 0.9279

So, P(-0.67 < z < 1.46 ) = 0.9279 - 0.2514

= 0.6765

=> P(-0.67 < z < 1.46 ) = 0.6765

Hence, all the required proportion are determined.

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Complete question:

Use The above table A to find the proportion of observations from a standard Normal distribution that satisfies each of the following statements. Give your answers to four decimal places.

a) z < -0.67=

b) z > -0.67=

c) z < 1.46=

d) -0.67 < z < 1.46=

The percentage rise in the amount of the necklace is 66.6%.

Given that

Based on the above information, the percentage increase in the value of the necklace is

= ($11,818,500 - $7,096,000) ÷ $7,096,000

= 66.6%

Therefore we can conclude that the percentage rise in the amount of the necklace is 66.6%.

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Answer:

The answer is 56.57

Step-by-step explanation:

In the process,

Diameter= 18,

Radius(r)=

18

2

∴

Radius= 9

Now,

Circumference (Perimeter) = ?

According to the formula,

Perimeter= 2

×

22

7

×

r

Taking the equation,

Perimeter= 2

×

22

7

×

r

⇒

2

×

22

7

×

9

⇒

396

7

⇒

56.57142857

⇒

56.57

Hope this helps you:)

Answer:

Step-by-step explanation:

circumference of a circle = 2πr

where

r = 18mm

π = 3.14

plugin values into the formula:

C = 2 (3.14) 18

C = 113.04 mm

Answer:

C. 150

Step-by-step explanation:

Given:

m<8 = 11y + 7

m<3 = y + 17

Required:

Find m<2

Solution:

m<8 + m<3 = 180 (supplementary angles and linear pair theorem)

11y + 7 + y + 17 = 180 (substitution)

Collect like terms

12y + 24 = 180

Subtract 24 from each side

12y = 180 - 24

12y = 156

Divide both sides by 12

y = 156/12

y = 13

m<2 = m<8 (alternate exterior angles are congruent)

m<2 = 11y + 7

Substitute y = 13 into the equation

m<2 = 11(13) + 7 = 143 + 7

m<2 = 150°

The type of transformation is pictured in the graph is "translation" as the dimension of the triangle shown is kept same.

In geometry, a function which it rotates an object a specific distance is referred to as translation. Nothing else is done to change the object. It is not scaled, reflected, rotated, or refracted.

From the graph.

Thus, the type of transformation is pictured in the graph is "translation".

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Answer:

The correct answer is C: 700 cm³

Step-by-step explanation:

V = l × w × h

V = 7 × 5 × 20

V = 7 × 100

V = 700

Answer:

B. 8

Function's:

Given following:

To solve for f(g(-2)), substitute x = -2 in function g(x)

⇒ f(g(-2))

⇒ f((-2)² + 1)

⇒ f(5)

Now, substitute x = 5 in function f(x)

⇒ 2(5) - 2

⇒ 8

Step-by-step explanation:

so, what's the problem ?

it's all there, we only need to take the calculator (or simply our heads) and do the calculation :

2×5 - 5×2 = 10 - 10 = 0

you see ? that was all that was needed.

put the given values for the variables into the places of these variables, and then calculate !

that is what variables are for : placeholders for actual values.

The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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Answer:

C.

Step-by-step explanation:

You will need to divide the miles in order to understand how much fuel

On solving the provided question, we can say that by fraction, 4/3 (orange Juice) + 3/4 apple juice + 2/3 cranberry juice + 3/4 lemon lime juice.

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

by fraction

4/3 (orange Juice) + 3/4 apple juice + 2/3 cranberry juice + 3/4 lemon lime juice.

16/12+9/12+8/12+9/12=42/12=3 and 1/2 cups.

20/3.5=5.7 or 6

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Answer:

9

Step-by-step explanation:

if that v is root symbol

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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Answer:

4140

Step-by-step explanation:

when u multiply the measurements for the first one you get 300 and the second measurement you get 546 then u put it in the ratio form

If 300= 2,275

546=x

then you cross multiply

The fraction of silver or brown canoes is 7/10.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total canoes team = 10

5 teams have silver canoes team.

2 teams have brown canoes team.

Now,

The fraction of silver and brown canoes.

= (5 + 2) / 10

= 7/10

Thus,

7/10

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Answer:

B.

Step-by-step explanation:

Because if you look closely you will be able to tell which answer it is by looking at the way the shape formed andjust breakaprt the shape .

Answer:

5870.23

The digit 3

Step-by-step explanation:

Answer:

I) √29

ii) 3√5

iii) 5√5

iv) √41

v) √5

vi) 6√2

Step-by-step explanation:

1)

Given complex numbers    -1+i and -3-4i

The points are ( -1 , 1) and (-3 , -4 )

Distance formula

\(\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }\)

= \(\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}\)

2)

Given complex numbers    1+i and 7-2i

The points are ( -3,4) and (-6,-1)

Distance formula

\(\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }\)

\(\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}\)

3)

Given complex numbers   -3 +4i and -6-i

The points are ( -3 ,4 ) and (-6 ,-1)

\(\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}\)

4)

Given complex numbers are -2+3i and 2-2i

The points are ( -2 ,3) and (2 , -2)

\(\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}\)



5)

Given complex numbers are 3 and 5+i

The points are( 3,0) and (5,1)

\(\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}\)



6)

Given complex numbers are -4+5i and 2-i

The points are ( -4 ,5) and ( 2,-1)

\(\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}\)



Answer:

-16

Step-by-step explanation:

because -29+13 = -16

and if you add them both you get -29

Answer: C

Step-by-step explanation:

For box and whiskers plot the box is where the majority of the data is.  the whiskers(the lines on both sides will tell you where the range of numbers lie)

The middle line in the box is the median number.

The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)

You want the majority of the data to be less than 30, which is subway.  C

Answer:laaa vidas so las vi vi ras ony laa viras so las vi vi ras

Step-by-step explanation:laaaa vidas so las vi vi ras boty hastice hastice sola vi vi rasss*birb falling*

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

$43.75

Step-by-step explanation:

(35/8)x10=43.75

Answer:

I belive 14,203

Step-by-step explanation:

The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.

A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.

To calculate the perimeter of this hexagon, we must first identify the length of each side.

All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.

The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get

5 + 4 + 4 + 5 + 3 + 3 = 24.

Thus, the perimeter of the hexagon is 24 inches.

Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.

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Answer:

3

Step-by-step explanation:

Frank wants to find a number that is multiplied by 10 is 2 less than 8 times the number plus 8.

Hope that helps :)