There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..


Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11


Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

The equivalent quotient to -5/8 are; -5/8 and .5/-8.

The correct answer options are options A and C

A quotient is the number resulting from the division of one number by another. For instance, the quotient of 12 divided by 4 is 3.

A divisor number or expression that another is to be divided by. For instance, in "42 ÷ 3" the divisor is the 3.

Dividend is a number or expression that is to be divided by another. For instance, In "42 ÷ 3" the dividend is the 42.

Complete question:

Given options:

A. -5/8

True

B. 5/8

False

C.5/-8

True

D. -(5/-8)

False

E. -5/-8

False

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Answer:

2:20

Step-by-step explanation:

The movie started at 3:00 PM they got there at 2:45. and it took them 25 mins to get there meaning they left at 2:20.

From the given condition of number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.

As given in the question,

Let x be the number written on the board.

First student increased the number on board by 12 = x +12

Second student multiply the number on board by 3 = 3x

Required equation as per given condition is:

x +12 = 3x + 2

⇒ 3x -x = 12 -2

⇒ 2x = 10

⇒ x = 10/2

⇒ x= 5

Therefore, for the number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.

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The solution set for the inequality is (-3, 3)

Here we have the absolute value inequality

|2x| - 6  < 0

To solve this, we need to isolate the variable, which in this case is x.

Adding 6 in both sides we get:

|2x| -6 + 6 < 0 + 6

|2x| < 6

This can be decomposed in the inequality:

-6 < 2x < 6

Now to competely solve the inequality, we will divide both sides by 2, so we get:

-6/2 < 2x/2 < 6/2

-3 < x < 3

So the solution set is (-3, 3)

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Answer:

I will help you okay????

The Algebraic Equation is correct

What is Algebra?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Two times a certain quantity

When a number is divided by two, ten is subtracted: 2x-9

The equal sign is a result.

The number and its sum equals 7+x.

Put everything together (except for the first 2x, that was used to find the second part).

2x-9=7+x

Get all of your like terms on the same side first. Because dealing with a negative variable can result in an additional step at the end, I personally dislike dealing with them. As a result, I'll take the n on the right and shift it to the 2x on the left.

2x-9=7+x

x-9=7

The -9 must now be positioned on the other side of the equal sign.

x = 7 + 9

x=16

Connect the 16 to the original equation to make sure you're doing it correctly.

2(16)-9=7+(16)

32-9=7+16

23=23

It is accurate.

Hence, The algebraic equation is correct

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The value of f(9) is 13

The function f(x) = x + 4

The function g(x) = 3x / x+1

The function is the mathematical statement that show the relationship between one variable and another variable. If one variable is independent variable and another variable will be dependent variable. Also the function is the equation that shows the relationship between the input  and output.

The function

f(x) = x + 4

We have to find the value of f(9)

We have to substitute the value of x = 9 in the function

f(9) = 9 + 4

Add the terms

f(9) = 13

Hence, the value of f(9) is 13

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Answer:

3

Step-by-step explanation:

Nice work on selecting "invalid" as the correct answer.

The reason why this argument is invalid is because the 'x' could be in circle B or could be outside circle B. There's simply not enough information.

The venn diagram would either be (A) or (D).

The only information we know is that Fred is does not live in San Francisco, so the 'x' will not be placed inside circle A.

Ignore any diagram where x is on the edge of a circle. That isn't allowed in venn diagrams because a person is either in San Francisco, or they aren't (same goes with California). We can't have blurry boundaries like that. This means venn diagrams (B) and (C) are nonsensical.

The probability that the boy will select a palindrome number is 1/900.

A number that reads the same both forward and backward is known as a palindrome.

The 6 digits palindrome numbers can be formed starting from 100 and writing the reverse of 100 before 100 like 100-001, 101-101, 102-201,...,

995-599, 996-699, 997-799, 998-899,999-999.

Therefore, the 6 digits palindrome numbers can be formed using three digits starting from 100 to 999.

Since we are starting from 100, subtract 99 from 999 to get the total number of 6 digits palindrome numbers,

999-99

=900

Therefore, there are 900 six digits palindrome numbers.

The probability of selecting one palindrome number out of a total of 900 numbers is,

1/900

Therefore, the probability that the boy will select a palindrome number is 1/900.

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The number of children in the school who speak a language other than English at home is 144.

The fraction of children who speak Polish is 1/6.

Percentage is the ratio of a quantity expressed as a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentage is %.

Number of children in the school who speak a language other than English at home = Percentage of the students who speak a language other than English x number of children

Number of children in the school who speak a language other than English at home = 45% x 320

Number of children in the school who speak a language other than English at home = 0.45 x 320 = 144

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

Fraction of the students who speak Polish = number of students that speak Polish / total number of students who speak a language other than English.

Fraction of the students who speak Polish = 24 / 144 = 1/6.

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Answer:

$3

Step-by-step explanation:

Total of all = $19.50

3 Card holders total = $7.50

4 Baseball card total = ?

We know that 19.50 is the sum of the holders and cards together so we subtract $7.50 from $ 19.50.

$19.50-$7.50=$12 for ALL four baseball cards

We know that 4 baseball cards are $12, but if we DIVIDE 12 by four, we get the individual price per card.

12/4 = $3

Answer:95

step by step explanation

Answer:

yes

Step-by-step explanation:

Answer:

log4 (70)

Step-by-step explanation:

log4(7) + log4(10) = log4(7 * 10 ) = log4(70)

Answer:

x = 55

y = 20

Step-by-step explanation:

Angles on a straight line sum to 180°.

Finding x

⇒ 75° + (2x - 5)° = 180°

⇒ 75 + 2x - 5 = 180

⇒ 2x + 70 = 180

⇒ 2x + 70 - 70 = 180 - 70

⇒ 2x = 110

⇒ 2x ÷ 2 = 110 ÷ 2

⇒ x = 55

Finding y

⇒ 75° + (4y + 25)° = 180°

⇒ 75 + 4y + 25 = 180

⇒ 4y + 100 = 180

⇒ 4y + 100 - 100 = 180 - 100

⇒ 4y = 80

⇒ 4y ÷ 4 = 80 ÷ 4

⇒ y = 20

Answer:

z = 4

Step-by-step explanation:

7z - 4 = 12 + 3z

1) We want to first move the z values to one side of the equation. This means we would subtract 3z from both sides to move it to the left side. This would give us 4z - 4 = 12.

2) We then want to isolate the z value. This means we want to move the -4 to the right side. We would add 4 to both sides and get 4z = 16.

3) We can then divide both sides by 4 and get the value for z.

This gives us z = 4.

The inequality that describes this situation is f ≥ 5

How to calculate the inequality ?

Use the steps below to solve an inequality:

Step 1: Subtract all fractions by multiplying each term by the sum of all fractions' least common denominators.

Step 2: Simplify the inequality by merging like terms on each side.

Step 3: Add or subtract amounts to get the unknown and the numbers on either side.

As per the question it tells the High- fiber should have at least 5g of fiber per serving

f = Number of grams of fiber per serving of high-fiber food

∴ f ≥ 5

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The original price of the ring is  £250.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Given that, the purchase price of a diamond ring increases by £20 when the rate of VAT is increased from 12% to 20%.

Let the original price of the ring be x, then according to question,

120% of x - 112% of x = 20

1.2x - 1.12x = 20

0.08x = 20

x = 20/0.08

x = 250

Hence, The original price of the ring is  £250.

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The experimental probability of choosing a blue golf ball based on Lorena's trials is 0.75.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true

In this case, Lorena chooses a golf ball from the bucket at random 4 times and 3 times, he picked blue balls.

The probability of picking a blue ball will be:

= Number of times a blue ball was picked / Total number of trials

= 3/4

= 0.75

The probability is 0.75.

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Answer:

60%

Step-by-step explanation:

i actually hope this helps!

Answer:

224 in²

Step-by-step explanation:

The formula for the area of a triangle is 0.5bh, where b is the base and h is the height. Here the base is '4t' and the height is '7t'. Subbing in 4 for t, we get

Base = 4(4) = 16

Height = 7(4) = 28

Subbing this values into our formula for the area of a triangle, and we have:

Area = 0.5(16)(28) = 224 in²

Answer: The answer to this question is $90.

Step-by-step explanation:

The Simple interest is $90.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5.

Given:

P= 1500

R = 12%

T= 6 month = 1/2 year

Using, formula of Simple Interest

I = P x R x T /100

I = 1500 x 12 x 1/ 2x100

I = 18000/200

I = 90

Hence, the interest is $90.

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The explanation is above

Answer:

THE CORRECT ANSWER IS 1.9824 x 10^7

Step-by-step explanation:

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The width of a rectangle is (7x+y) meters.

What is the area of a rectangle?

A flat surface of a specific shape can be thought of as the area it occupies in space. In terms of the "number of" square units, it is measured (square centimeters, square inches, square feet, etc.) The number of unit squares that can fit inside a rectangle is the area of that shape. The flat surfaces of laptop monitors, chalkboards, canvases, and other objects are a few instances of rectangular shapes.

Area of the rectangle is = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex]) square meter

length of the rectangle is = (x+y) meters

we know, the area of the rectangle= length×width

So, the width of the rectangle = (7[tex]x^{2}[/tex]+8xy+[tex]y^{2}[/tex])/(x+y) meters

=(7x+y)(x+y)/(x+y) meters

=(7x+y) meters

Hence, The width of a rectangle is (7x+y) meters.

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You can afford a car at a price of 13,016.79

What is the monthly payment formula?

The monthly payments are given by the equation presented as follows:

[tex]A=P\frac{R(1+R)^{n} }{(1+R)^{n}-1 }[/tex]

where R = r / 12

P is the initial amount , r is the interest rate , n is the number of payments.

Given data ,

A = $ 350

R = 6 %

r = 6 / 12 %

 = 0.5 %

 = 0.005

n = 5 years

  = 5 x 12 months

  = 60

Therefore , the maximum value of the car is calculated as

[tex]A=P\frac{R(1+R)^{n} }{(1+R)^{n}-1 }[/tex]

[tex]250=P\frac{0.005(1+0.005)^{60} }{(1+0.005)^{60}-1 }[/tex]

[tex]250=P\frac{0.0067}{1.3488501-1}[/tex]

[tex]P = \frac{250*0.348850}{0.0067}[/tex]

[tex]P=\frac{87.2125}{0.0067}[/tex]

P = 13016.79

Hence , you can afford a car at a price of 13,016.79

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9/16 must be added to this expression [tex]x^{2} -3x/2[/tex] to make it a perfect square.

According to the question,

We have the following expression:

[tex]x^{2}[/tex] -3x/2

Now, in the given four options, we only have two perfect squares which 9/16 and 16/9.

Now, 9/16 is the square of 3/4.

So, we will first solve it using 9/16:

[tex]x^{2}[/tex]-3x/2+9/16

Now, this formula is of identity [tex](a-b)^{2}[/tex] where we have a = x and b = 3/4.

The formula of the identity [tex](a-b)^{2} = a^{2} + b^{2} -2ab[/tex].

Now, adding 9/16 make it a perfect whole square.

(More to know: we can add or subtract a number or a term from an expression to make it a perfect square or perfect cube.)

Hence, the correct option is C.

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