7. A Jar contains 26 marbles. It has 10 red, 8 black and 8 green marbles. Two marbles are drawn, the first is not returned before the second one is drawn. What is the probability thatboth marbles are green?OP(Both Green) -OP(Both Green) -OP(Both Green) -OP(Both Green) - 1

The most appropriate choice for complementary angle will be given by:

∠A = 27°

What are complementary angles?

Two angles are said to be complementary if the sum of the two angles is 90°

Here,

∠A = (2x + 5)°

∠B = (4x + 19)°

∠A and ∠B are complementary

(2x + 5) + (4x  + 19) = 90

6x + 24 = 90

6x = 90 - 24

6x = 66

x = \(\frac{66}{6}\)

x = 11

∠A = 2 x 11 + 5

     = 22 + 5

     = 27°

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Complete Question

∠ A and ∠B complementary angles. If m∠A =  (2x + 5)°  and m∠B  = (4x + 19)°, then find the measure of ∠A.

Answer:

(i) David: Daniel: Dennis= 2: 3: 7

(ii) David, Daniel and Dennis will get £1000, £1500 and £3500 respectively.

Step-by-step explanation:

(i) Let the amount of money obtained by David, Daniel and Dennis be x, y and z pounds respectively.

x +y +z= 6000 -----(1)

y= 1.5x -----(2)

z= 3.5x -----(3)

Let's write the amount of money each gets in terms of x.

David --- x

Daniel --- 1.5x

Dennis --- 3.5x

In ratio, David: Daniel: Dennis

= 1: 1.5: 3.5

= 2: 3: 7

This is obtained by multiplying 2 throughout the ratio as ratio is its simplest form is in whole numbers and does not have decimals.

_______

(ii) Now that we know how the money is shared in terms of ratio, we can easily determine how much each of them receives.

Total amount of money= £6000

Total number of units

= 2u +3u +7u

= 12u

Thus, 12 units represents £6000.

12u ----- £6000

1u ----- £6000 ÷12= £500

Amount of money David will receive

= 2u

= 2(£500)

= £1000

Amount of money Daniel will receive

= 3u

= 3(£500)

= £1500

Amount of money Dennis will receive

= 7u

= 7(£500)

= £3500

Extra notes:

• Units are represented by the letter 'u' in the working. They can also be called parts and their value is in relation to the total amount. Thus if David gets 2 units of the total money, and the total amount is 12 units, he receives 2/12 or ⅙ of the total sum of money.

Answer:

$687.5

Step-by-step explanation:

Cost of the rug per square foot = $22

Length of the rug = 31.25 feet

Total amount Mrs brown will pay = Cost of the rug per square foot × Length of the rug

= 31.25 × 22

= $687.5

Total amount Mrs brown will pay = $687.5

In completing the square method, considering the equation X^2 + 82x +  the number to be added should be 1681 to make it a perfect square

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is on of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem X^2 +82x

= (b / 2a)^2

= (82 / 2)^2

= (41)^2

= 1681

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Answer:

The Answer is g ( t  −  1 ) =  2 t  −  3

Step-by-step explanation:

Hope it helps Aizawa and I love you <3

Answer:

h-hey.... i hope u stay safe forever- i wont say who i am but stay safe

Step-by-step explanation:

Use a second order difference scheme while adhering to the finite difference procedure we discussed in lecture, the rewritten initial value is cos(t)+C.

The k initial differences of a sequence or a function are involved in a difference equation of order k, just as the k first derivatives of a function are related in a differential equation of order k.

The two aforementioned relationships enable the transformation of a recurrence relation of order k into a difference equation of order k and, in the other direction, a difference equation of order k into a recurrence relation of order k. Every transformation is the inverse of every other transformation, and the sequences that satisfy the recurrence relation are the exact ones that provide the solution to the difference equation.

Calculations:

syms y(t) z(t)

eqns = [diff(y,t)==z, diff(z,t)==-y];

[ySol(t),zSol(t)] = dsolve(eqns)

ySol(t) = C

cos(t)+C

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The height of the sun flower after w weeks is 25 + 3w inches and the height of flower after 9 weeks is 52 inches.

At the beginning of spring, Sophia planted a small sunflower in her backyard. When it was first planted, the sunflower was 25 inches tall.

The sunflower then began to grow at a rate of 3 inches per week.

The height of the flowers after w weeks can be calculated using the equation below:

height of flower after w weeks = 25 + 3w

The height of the flower after 9 weeks can be calculated as follows:

height of flower after 9 weeks = 25 + 3(9)

height of flower after 9 weeks = 25 + 27

height of flower after 9 weeks = 52 inches

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Answer:

Step-by-step explanation:-32x³z³+48x∧4z

Using regression equation, the line of best fit is y = 30.53571x - 2.57143

To calculate the line of best fit, we need to calculate using the regression equation.

From the data given;

Sum of x = 28

Sum of y = 837

Mean x = 4

Mean y = 119.5714

Sum of squares (SSx) = 28

Sum of products (SP) = 855

Regression Equation = y = bx + a

b = SP/SSx = 855/28 = 30.53571

a = My - bMx = 119.57 - (30.54*4) = -2.57143

y = 30.53571x - 2.57143

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Answer:

3,360

Step-by-step explanation:

Answer:

His friend gave Greg a 20$ bill.

Step-by-step explanation:

35.23+10.75+17.25=63.23

63.23-50= 13.23

13.23+6.77= 20

Answer:

He borrowed $6.46

Step-by-step explanation:

Add the totals up together. 35.23 + 10.75 + 17.25 to get 63.23

Subtract 50 from 63.23 (63.23 - 50.00) to get 13.23.

Subtract 6.77 from 13.23 (13.23 - 6.77) to get 6.46.

He borrowed $6.46 from his friend!

Hope this helps! Pls make brainliest

Answer:

equal to 1

Step-by-step explanation:

I believe this is the answer. Also I see that ur new. Well welcome to Brainly.

The volume of the figure is approximately 1591.63 cm³.

We have,

To find the volume of the figure with a semicircle on top of a cone, we can break it down into two parts: the volume of the cone and the volume of the semicircle.

The volume of the Cone:

The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Given that the diameter of the cone is 14 cm, the radius (r) is half of the diameter, which is 7 cm.

The height (h) of the cone is 17 cm.

Plugging the values into the formula, we have:

V_cone = (1/3)π(7 cm)²(17 cm)

V_cone = (1/3)π(49 cm²)(17 cm)

V_cone = (1/3)π(833 cm³)

V_cone ≈ 872.67 cm³ (rounded to two decimal places)

The volume of the Semicircle:

The formula for the volume of a sphere is V = (2/3)πr³, where r is the radius of the sphere. In this case, since we have a semicircle, the radius is half of the diameter of the base.

Given that the diameter of the cone is 14 cm, the radius (r) of the semicircle is half of that, which is 7 cm.

Plugging the value into the formula, we have:

V_semicircle = (2/3)π(7 cm)³

V_semicircle = (2/3)π(343 cm³)

V_semicircle ≈ 718.96 cm³ (rounded to two decimal places)

Total Volume:

To find the total volume, we add the volume of the cone and the volume of the semicircle:

V_total = V_cone + V_semicircle

V_total ≈ 872.67 cm³ + 718.96 cm³

V_total ≈ 1591.63 cm³ (rounded to two decimal places)

Therefore,

The volume of the figure is approximately 1591.63 cm³.

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Answer:

Today: Thursday, 15 October 2020

Hour: 04.17 WIB (in Indonesian)

____________________________

-2.73 = -042r

r = -2.73/0.42

r = 6.5

Answer:

r = 13/2

hope this is grateful

​

B) The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Here,

The alpha value of the reliability coefficient, also known as Cronbach's alpha, measures the internal consistency of a questionnaire. It indicates how well the items on the questionnaire are related to each other and form a consistent measure of the concept being assessed. A high alpha value indicates that the items on the questionnaire are measuring the same underlying concept and that the questionnaire is reliable.

Correlation between the score on the questionnaire and another measure of the same concept (Option A) and consistency by which multiple subjects are able to complete the questionnaire without error (Option D) can also provide information about the reliability of a questionnaire.

The alpha value of the reliability coefficient is one way to establish the validity of a questionnaire.

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Answer:

No

Step-by-step explanation:

1+7/x=y cannot be a linear equation because x is the denominator. A variable in the denominator means it has restrictions to what it can or cannot be. For example it can never be 0.

If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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The volume of the composite figure is 145.68 cubic meters

Composite figures are figures that is made up of more than one shape. The volume of the figure is expressed as:

Volume = volume of cylinder + volume of prism

Volume = πr²h + lwh

where

r is the radius of cylinder

h is the height

l, w and h are the length, width and height respectively

Substitute the dimensions

Volume = 3.14(2)² * 3 + (2.4*5*9)

Volume = 37.68 + 108

Volume = 145.68 cubic meters

Hence the volume of the composite figure is 145.68 cubic meters

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Therefore , light of the fact that the three equations equal x2 + 6x - 16, they all represent the same function.

In a mathematical formula, the equal symbol (=) is used to denote that the statements are equivalent. It is demonstrated that many quantitative variables are comparable using mathematical equations, which are statements of reality. The equal sign, for instance, separates the numbers 12 and b + 6 into 2 halves within the equation y + 6 = 12. It is possible to calculate how many expression words each edge of a symbol represents. The meaning of a symbol usually contradicts itself.

Here,

It is important to understand that the function Corey wrote is:

=>y = (x + 8)(x - 2) (x - 2)

=> y = x² - 2x + 8x - 16

=> y = x² + 6x - 16

Kimberly spelled out y = x + 6x - 16

Joshua spelled out (x + 3)² - 25.

=>  (x + 3)(x + 3) - 25

=>  x² + 3x + 3x + 9 - 25

=>  x² + 6x - 16

In light of the fact that the three equations equal x2 + 6x - 16, they all represent the same function.

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Answer:

11/12

Hope this helps!!!!

The elements of order 6 are (15^5, 15^17, 16^2, 16^8, 18^5, 18^17) where p = 31.

(a) How many primitive roots are there mod 31?

To solve the given problem, we know that a is a primitive root of p if and only if a is a generator of the group of units modulo p.

Then by the formula of Euler's totient function,

φ(31) = 30 since 31 is prime.

Therefore the group of units modulo 31 has φ(30) = 8 primitive roots.

b) Is 2 a primitive root?

The order of 2 is 15, not 30. 2^(15) ≡ −1 mod 31, which means that 2 is not a primitive root modulo 31.

c) Is 3 a primitive root?

The order of 3 is 5 since 3^(5) ≡ −1 mod 31.

Therefore, 3 is a primitive root of 31.

d) Using the order formula, find all the elements of order 6?

Let us consider an element "a" and let "k" be the smallest positive integer such that a^(k) = 1 mod p.

Then "k" is called the order of a mod p.

Using the order formula, the elements of order 6 are:

For k = 6: (15^5, 15^17, 16^2, 16^8, 18^5, 18^17).

Therefore, all the elements of order 6 are (15^5, 15^17, 16^2, 16^8, 18^5, 18^17) where p = 31.

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Answer:

11

Step-by-step explanation:

add 30 then 42 then 18 and divide it in to as many possible

Answer:

ok so the total number of cookies bella got is 30+42+18 = 90. so she has 3 boxes. so divide 90 by 3, we get 30. so if we put 30 cookies in each 3 boxes.

Answer to the question:

112 bags.

Step-by-step explanation:

\(one \: bag \: of \: rice \: = \frac{5}{8} \)

\(70 \div \frac{5}{8} = 112\)

So 112 bags that weight 5/8kg can be contained in a bag of 70kg.

Hope this helps!

Answer:

the iqr is 3 , and the range is 7

Step-by-step explanation:

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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June's earning in dividends per year will be  $4676.66

Earnings are the profit that a company produces in a specific period, usually defined as a quarter or a year. After the end of each quarter

It is given in the question that:

No. of shares of Parchar Special Effects = 177

If Parchar Special Effects pays a yearly dividend of $8.21 per share

So, It pays a yearly dividend for 177 shares

= \(177\times 8.21=1453.17\)

No. of shares of Giaco Household Goods = 213

Giaco Household Goods pays $6.97 per share

So, It pays a yearly dividend for 213 shares

= \(213\times6.97=1484.61\)

No. of shares of of Raxin Accounting= 152

Raxin Accounting pays $11.44 per share

So, It pays a yearly dividend for 152shares

= \(152\times 1.44=1738.88\)

So,June earn in dividends per year

=\(1453.17+1453.17+1738.88=4676.66\)                

Hence June earn $4676.66 dividends per year

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Answer:

B

Step-by-step explanation:

$4,676.66

The distance between two points can be calculated using the formula;

For points;

Given the points;

The distance between the two points can be calculated using the above formula;

The distance between the two points is;

Answer:

Hello! answer: b = 75

Step-by-step explanation:

We have to find b so we have to work backwards to find the answer the steps would be to find c^2 subtract that by a^2 and then you get b^2 and have to find out what multiplied by itself equals b^2 so... 85 × 85 = 7225 40 × 40 = 1600 7225 - 1600 = 5625 75 × 75 = 5625 therefore b = 75 hope that helps!

Answer: The number of doughnuts that Teresa has, y, is 2 times the number of doughnuts Thomas has, x.

Step-by-step explanation: If Teresa had 10 doughnuts, Thomas would have 5, and if Thomas had 10 doughnuts, Teresa would have 20.