Question 9(Multiple Choice Worth 2 points)
(Theoretical Probability MC)
A fair, 6-sided die is rolled 50 times. Predict how many times it will land on a number greater than 3.


1/2
5
25
50

Answer:

Kindly check explanation

Step-by-step explanation:

Age____ Freq__R/freq____ Cumm Rel Freq [20,29]___3____ 0.1________ 0.1

[30,39]__ 10__ 0.3333_____ 0.4333

[40,49]__ 2__ 0.0667______ 0.5

[50,59]__ 7 __0.2333 _____0.7333

[60,69]__ 4 ___0.1333 ____0.8666

[70,79]___ 3 ____0.1 ______0.9666

[80,89]___ 1 ___0.0333 ____0.9999

A.) What is the frequency of lottery winners of age between 19 and 40?

Frequency = (3 + 10) = 13 winners

B.) What percentage of lottery winners are 70 years or older?

From the relative frequency table = 0.1 (3/30) = (0.1 * 100%) = 10% ;

C.) What is the relative frequency of ages under 40?

(20 - 29) + (30 - 39)

0.1 + 0.3333 = 0.4333

D.) What is the cumulative relative frequency of lottery winners younger than 50?

0.1 + 0.3333 + 0.0667 = 0.5

Answer:

=-15

Step-by-step explanation:

3c

3(-5)

3×-5

=-15

Answer:

N=18

Step-by-step explanation:

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Answer:

18

Step-by-step explanation:

use the concept of similarity and enlargement.

\( \frac{15}{n} = \frac{5}{6 } \)

\(n = \frac{15 \times 6}{5} \)

\(n = 18\)

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer:

Estimate the following (by rounding off to nearest hundred (a)6,941 (b)6,320 (c) 416 (d)126 (e)109 (f)202 (g) 146 (h)7,699 (I)8,311 (j)986

Step-by-step explanation:

Answer:

C. Subtract 2 from the number of sides and multiply the difference by 180

Step-by-step explanation:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180.

Answer:

63 yd³

Step-by-step explanation:

V = lwh

V = 7 × 3 × 9

V = 189

Since the cubes are 1/3 yd³, you now multiply the volume of this figure which is if it were a 1 yd³.

189 × \(\frac{1}{3}\)

63 yd³

Geometric mean, like arithmetic mean, is a kind of average and a measure of central tendency.

To solve for the geometric mean, we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. In other words, geometric mean is the nth root of the product of n values.

The formula for the geometric mean is given by:

GM = n√x1 x2 . . . xn

Solving for the geometric mean between 1/5 and 60 using the formula:

GM = n√x1 x2 . . . xn

where n = 2, x1 = 9/16, and x2 = 25/3

GM = √(9/16(25/36)

GM = 0.625

Hence, the geometric mean of 9/16 and 25/36 is 0.625

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Answer:

\(\tt x=21\)

Step-by-step explanation:

\(\tt 45+63+4x-12=180\)

\(\tt \cfrac{4x}{4} =\cfrac{180-96}{4}\)

\(\tt x=21\)

~

Answer:$3250

Step-by-step explanation:

Answer:

(5x+2)(2x+1)

Step-by-step explanation:

Answer: 10x²+9x+2=(2x+1)(5x+2)

Step-by-step explanation:

10x²+9x+2=

10x²+(5x+4x)+2=

(10x²+5x)+(4x+2)=

5x(2x+1)+2(2x+1)=

(2x+1)(5x+2)

Answer:

LOL I NEED POINTS SORRY NOT SORRY

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

29x24=696

Add 400 and 36. 436

Subtract 436 from 696. 260

The regression equation which correctly models the data in this table is y = 1.49x - 107.5,

From the table of data values, we have the following parameters:

∑x = 632

∑y = 404

∑x² = 80.142

∑xy = 51.448

Mathematically, the regression equation is represented by the following slope equation:

y = Bx + A

Next, we would determine A by using this expression:

A = (∑y·∑x² - ∑x·∑xy)/(n∑x² - (∑x)²)

A = (404×80,142 - 632×51,448)/(5×∑x² - (632)²)

A = (32,377,368 - 32,515136)/(5×80142 - 399,424)

A = -137,768/1286

A = 107.5

For B, we have:

B = (n∑xy· - ∑x·∑y)/(n∑x² - (∑x)²)

B = (5×51,448 - 632×404)/(5×∑x² - (632)²)

B = 1.49.

y = Bx + A

y = 1.49x - 107.5

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These are the two transactions that are given in the question and the journalizing of these transactions are explained with the appropriate steps and accounts.

The solution for the journalizing of the given transactions can be found below:

Journalizing refers to the recording of business transactions in the journal. In the process of journalizing, all transactions are recorded in the journal in a systematic way.

Journal is the first place where every transaction is recorded systematically.

The transaction is a business exchange in which one entity provides value to another entity in exchange for a specific item, service, or asset.

Transaction

(i) is paid Rs 2000 in cash as wages on the installation of the machine. This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount (Cr.) DD/MM/YYYCash a/c………………………Dr.2000To wages a/c2000 (Being cash paid as wages on the installation of the machine)Transaction

(ii) sold goods to Mr. Chopra at a list price of Rs 4,000. The sale is subject to a 10% trade discount and a 5% cash discount if the payment is made immediately, Mr. Chopra availed cash discount.

This transaction can be journalized as follows: Journal of Transactions Date Particulars LF Amount (Dr.) Amount(Cr.) DD/MM/YYYMr. Chopra a/c………………………Dr.3,420To Sales a/c4,000 (Being sales made to Mr. Chopra on a discount) To Trade Discount a/c400 (Being Trade Discount allowed to Mr. Chopra) Cash Discount a/c180 (Being cash discount allowed to Mr. Chopra) To Mr. Chopra a/c180 (Being cash received from Mr. Chopra) To CGST a/c90(Being CGST charged on sales) To SGST a/c90(Being SGST charged on sales)

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The $7,000 worth of purchase and payment of $5,000 before the three months deadline gives the amount owed at 2.49% monthly compound interest rate as $2,153.15

Owed: $2,153.15

Compound interest accounts for the interest that is earned on an interest, such that the interest rate is compounded on an initial amount.

The given parameters are;

The amount of the items purchased from the store = $7,000

The amount of down payment required = 10%

The amount paid in three months = $5,000

Monthly interest on amount owed after three months = 2.49%

Required;

The amount owed after payment of $5,000 before three months

Solution;

Using the compound interest formula, we have;

\( \displaystyle{A = P \cdot \left(1 + r \right)^{n} }\)

Where;

A = The amount owed

P = The amount loaned = $7,000 - $5,000 = $2,000

r = Monthly interest rate = 2.49%

n = The number of months = 3 months

Which gives;

\( \displaystyle{A = 2000 \times \left(1 + 0.0249 \right)^{3} \approx 2153.1509}\)

The amount owed (for the 3 months period) is approximately $2,153.15

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c. The current month is March if and only if the previous moth was February

Explainition:

Since March comes after February hence this statement is true.

Answer:

∠b=82°

Step-by-step explanation:

143°=∠c+∠b (exterior angle property)

143°=61°+∠b

∠b=143-61

∠b=82°

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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Answer:

12

Step-by-step explanation:

(I think you should try it for yourself!)

If the length of the triangle is 24, and there is a bisector, that means the length is going to be divided among 2 equally.

Therefore we just need to divide 24 by 2

24 / 2 = 12

Answer:

D

Step-by-step explanation:

First, remove parenthesis:

8(x + 30) = 8*x + 8*30 = 8x + 240

Then, add the 5 at the end:

8x + 240 + 5 = 8x + 245

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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The amount of your tax refund is $1,414

To find the tax refund, we need to subtract the amount of federal taxes owed after deductions from the amount of federal taxes already paid.

Tax refund = Federal taxes paid - Federal taxes owed after deductions

Tax refund = $12,042 - $10,628

Tax refund = $1,414

Rounding to the nearest cent, the tax refund is $1,414.00.

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Answer:

1/10, 1/2, 0.6, 1.9

Step-by-step explanation:

1/10 is equivalent to 0.1 and 1/2 is the same as 0.5, thus making your order 1/10, 1/2, 0.6, 1.9

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Option D is the correct answer.

We have,

We need to isolate the absolute value |x + 2| on one side of the inequality.

We subtract 7 from both sides.

|x + 2| > 3

Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:

x + 2 > 3

or

- (x + 2) > 3

Solving for x in the first inequality.

x > 1

Solving for x in the second inequality.

-x - 2 > 3

Adding 2 to both sides and multiplying by -1.

x < -5

So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.

Using interval notation.

(-∞, -5) U (1, ∞)

Thus,

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

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The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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Answer:

The width of the prism is 2 cm

Step-by-step explanation:

The given parameters are;

The volume of the prism = 170 cm³

The length of the prism = 5 cm

The height of the prism = 17 cm

The volume of the prism is given by the  relationship v = Length, l × Height, h × Width, w

Therefore;

The volume of the prism = 5 cm × 17 cm × w = 170 cm³

Which gives;

w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm

∴ The width of the prism = 2 cm.