MATHEMATICS COLLEGE

This Venn diagram represents the science subjects studied by students what is the probability chosen at random that that child does not study chemistry

Answers

Answer 1

Answer:

Step-by-step explanation:

Looking at the Venn diagram,

The total number of students surveyed is 7 + 5 + 8 + 6 + 2 + 4 + 3 + 6 = 41

The number of children that studies none of the subjects is 6

The number of children that study only biology is 7

The number of children that study only physics is 5

The number of children that study only physics and biology is 2

Therefore, the number of students that do not study chemistry is 6 + 7 + 2 + 5 = 20

Probability = number of favorable outcomes/total number of outcomes

Therefore, the probability that a child chosen at random does not study chemistry is 20/41 = 0.49

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In the graph above, what's the distance between (0, 2) and (5, 2)?

Answers

Answer:

The distance is 5

Step-by-step explanation:

Answer:

where is the graph

Step-by-step explanation:

if a bag contains 18 red, 6yellow, 24blue 8white balloons what is the part to whole ratio of white ballons to all ballons

Answers

Answer:

8:56 or 1:7

Step-by-step explanation:

combine all the marbles = 56

White = 8

Ratio = White/All = 8/56 = 1/7

If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year?simple interest = Pxrxt

Answers

Answer:

The simple interest was found to be $9.6 after 1 year at 3%

Step-by-step explanation:

Given that

principal p= $350

rate r= 3%= 3/100= 0.03

time t= 1 year

The expression for the simple interest is given as

SI= p*r*t

SI= 320*0.03*1

SI= $9.6

After 1 year at 3% the simple interest is $9.6

Simply put the extra money earned after an investment is called the simple interest

2Viviana is ordering carpet

for 16 square rooms in a

hotel. Each room will need

100 square feet of

carpet. What is the

length of 1 room?

Answers

Answer:

Length of a room is 10ft

Step-by-step explanation:

Given

$Rooms = 16$

$Carpet\ Area = 100ft^2$

Required

Determine the length of each room

Here, we'll assume that the carpet will cover each room completely.

If so:

$Carpet\ Area = Length * Length$

$100ft^2 = Length * Length$

$100ft^2 = Length^2$

Take square root of both sides

$√(100ft^2) = √(Length^2)$

$√(100ft^2) = Length$

Take positive square root

$10ft = Length$

$Length = 10ft$

Hence, the length of a room is 10ft

HELP!!!!!In a group of 15 children, 5 said they are an only child, 3 said they have 1 sibling only, 4 said they have exactly 2 siblings, and 3 said they have exactly 3 siblings.

What is the average number of siblings for this group? Enter your answer as a decimal, rounded to the nearest tenth,
_______

Answers

The average number of siblings for the group is 1.3.

We must compute the total number of siblings and divide it by the total number of children in the group to determine the average number of siblings for the group.

There are a total of: siblings in the bunch.

3 + 8 + 9 = 20 (1 sibling times 3 children) + (2 siblings times 4 children) + (3 siblings times 3 children)

The total number of kids in the group is: 5 + 3 + 4 + 3 = 15

As a result, the group as a whole has an average of:

20/15 = 1.33 (rounded to the nearest tenth) (rounded to the nearest tenth)

So, the group as a whole has 1.3 siblings on average.

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Simplify the expression
$\sqrt[3]{686x {}^(4) } y {}^(7)$

Answers

The expression can be simplified as $7x\sqrt[3]{ 2x} y^7$ .

What is an expression?

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)

A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

Given:

The expression = $\sqrt[3]{686x^4} y^7$

Factorize 686 we get 7³ × 2

= $\sqrt[3]{7^3* 2x^4} y^7$

= $7x\sqrt[3]{ 2x} y^7$

Therefore, the expression can be simplified as $7x\sqrt[3]{ 2x} y^7$ .

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Final answer:

The simplified form of the expression \sqrt[3]{686x {}^{4}} * y {}^{7} is 2y^7x * \sqrt[3]{x}. This is achieved by breaking down 686 into its prime factors and simplifying under the cube root.

Explanation:

To simplify the given expression \sqrt[3]{686x {}^{4} } y {}^{7}, we first break down 686 into its prime factors. 686 = 2 * 7 * 7 * 7 or 2 * 7^3. Now we can simplify the given expression by solving it inside the cube root first: \sqrt[3]{2 * 7^3 * x^4}, which simplifies to 2y^7x * \sqrt[3]{x}

\sqrt[3]{686x {}^{4}} * y {}^{7} = 2y^7x * \sqrt[3]{x}

Learn more about Solving Expressions here:

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