There are 15 boys and 20 girls in 6th grade. Heather says that
means the ratio of the number of boys in 6th grade to the
number of girls in 6th grade is 3:4.
Is Heather correct? If not, what is the correct ratio?

1. Chimborazo is not the highest volcano in Ecuador.

2. 42 is not greater than 13.

3. No parrot speaks.

4. Some elephant can run.

5. Not all trees have green leaves.

The negation of a statement is a statement that negates, or reverses, the original statement. The negations of the given expressions are:

In the first expression, the negation simply changes "is" to "is not" and leaves the rest of the statement unchanged.

In the second expression, the negation changes the comparison operator "greater than" to "not greater than", and flips the order of the values.

In the third expression, the negation changes "some" to "no", effectively saying that no parrot can speak.

In the fourth expression, the negation changes "no elephant can run" to "some elephant can run", which means that there exists at least one elephant that can run.

In the final expression, the negation adds the word "not" to the beginning of the statement, which negates the "all" part of the original statement and implies that there are some trees that do not have green leaves.

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Answer:

(a) 0.00000221    (b) 4.2 x \(10^{5}\)

Step-by-step explanation:

(a)  \(10^{-6}\) means you need to move the decimal left (because of the negative) 6 spaces. So you have 2.21 move the decimal 6 spaces left and you end up with 0.00000221

(b) If you have 420,000 and you count 5 spaces from the last number, that leaves the decimal inbetween the 4 and 2 so your answer will be 4.2 x \(10^{5}\)

Answer:

it is b because I did the math and got that

Answer:

3 or B

Step-by-step explanation:

The positive becomes a negeative turning your problem into 5 - 2 = 3

Answer:

2.1 m

Step-by-step explanation:

The gutter is in the shape of a cylinder.

Its volume is 20 liters and its diameter is 11 cm (0.11 m).

Its radius is half of its diameter => r = 0.055 m.

The volume in cubic metres:

1 litre = 0.001 cubic metres

20 litres = 20 * 0.001 = 0.02 cubic metres

The volume of a section of guttering is given as:

\(V = \pi r^2h\)

where h = length of the guttering

Therefore:

\(0.02 = \pi * 0.055^2 * h\\\\0.02 = 0.009503h\\\\h = 0.02 / 0.009503\\\\h = 2.10 m\)

The length of the section of guttering is 2.1 m long.

Answer: I would love to help you but I am confused on what you mean by the question.

Step-by-step explanation:

y = x - 4

y = 6x - 10

Then, substract both equations

y-y = 0 = (x-4) - (6x-10)

0= x - 4 - 6x + 10

0= -5x + 6

Then now find x

x= 6/5 = 1.2

Now replace x=1.2 and find y

y = 1.2 -4 = -2.8

Then ,answer is

x = 1.2

y= -2.8

Answer:

One bag of chips costs $3.95

Step-by-step explanation:

22.45 - 10.60 = 11.85

11.85/3 = 3.95

The price of one bag of chips is $3.95.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Maria had $22.45 to spend on groceries, after buying 3 bags of chips, she had $10.60 left, and each bag of chips costs the same amount.

Let the price for each bag of chips be x,

10.60 + 3x = 22.45

3x = 11.85

x = 3.95

Hence, The price of one bag of chips is $3.95.

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Answer:

A + B would be less than A - B

Step-by-step explanation:

The simplified answer to 5.3. √2 will be 7.495.

It should be noted that we are to find the simplified answer to 5.3. √2 .

This means that we have to multiply them. This will be:

= 5.3 × ✓2

= 5.3 × 1.1414

= 7.495

Note that the options given aren't complete.

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Answer:

I uploaded a file hosting link for your question!

Here is the link:

bít.ly/botshavenobrains

Step-by-step explanation:

Answer is A

Hope it helped :)

ANSWER

my answer is in the photo above

f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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Answer:

(8x-5y)(8x+5y)

Step-by-step explanation:

Using the square principal because the square root of 64x2 is 8x and the square root of 25y2 is 5y and +- because +times- is only minus and the equation is minus.

Answer:

#4: Blank 1: 4x, Blank 2: 3; #5: A) or D)

Step-by-step explanation:

Question 4: 4x, 3

Question 5: A) or D)

a) two representatives be picked in 5850 ways so that one is a mathematics major and the other is a computer science major. b) one representative be picked in 343 ways who is either a mathematics major or a computer science major.

Product Rule: If one event occurs in m ways and a second event occurs in n ways, the number of ways the two events occur in the sequence is m×n ways.

Sum Rule: If an event occurs either in m ways or in n ways (non-overlapping), the number of ways the event can occur is m+n ways.

according to the question,

Mathematics majors =18 and Computer science majors = 325

A. We need to use the product rule because the first event is picking up a Mathematics major and the second event is picking up a computer science major.

= 18 x 325

= 5850

B. Here sum rule is applicable because the event is picking up a mathematics major or a computer science major.

= 18 + 325

= 343

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(complete question)

there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a mathematics major or a computer science major.

Answer:

K is the angle between JK and KL. It is called the included angle of sides JK and KL.

Answer:

is finding the square root

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number.

When a number is squared, it is multiplied by itself. For example, squaring the number 4 gives 4^2 = 16.

The inverse operation undoes the effect of squaring and returns you to the original number. In this case, finding the square root of a number is the inverse operation of squaring.

The square root of a number "x" is a value that, when squared, gives the original number. It is denoted by the symbol √x.

For example, if you have the number 25 and you want to find its square root, you calculate:

√25 = 5

5 is the square root of 25 because when you square 5 (5^2), you get 25.

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number. The concept of square root and squaring are inverse operations that are used in various mathematical calculations and problem-solving.

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People often draw hypothesis in research.  Based on executing the test  We reject the null hypothesis; the mean delivery time is different for every day of the week.

Why do we reject the null hypothesis?

Note that if the p-value of an experiment (Like the one above) is less than or found to be equal to the significance level of your test, one can reject the null hypothesis.

a radio station has accepted 26 as the mean age of its listeners. one radio station executive claims that the mean age of its listeners is different from 26

By that, we known that the data is in favors the alternative hypothesis. Hence the results gotten by you are statistically significant. If your p-value is found to be greater than your significance level, you then fail to reject the null hypothesis.

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Answer:

Line 1 = Negative

Line 2 = Zero

Line 3 = Positive

Line 4 = Undefined

Step-by-step explanation:

Line 1's gradient is negative since it's sloping down.

Line 2's gradient stays at 0 since it does not go upwards or downwards.

Line 3's gradient is positive since it's tilting upwards.

Line 4's gradient is undefined since the line shoots up on the same point on the x-axis so the gradient cannot be determined by a single rational number.

The table that represents a linear function is Table 1. Thus, the correct option is A.

A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c.

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.

We know that, slope m= (y2-y1)/(x2-x1)

Table 1:

Put (x1, y1)=(1, 5) and (x2, y2)=(2, 9) in slope formula

That is, (9-5)/(2-1)

= 4

Similarly, the slope between last two points is (9-5)/(4-1)

=4

Table 2:

Put (x1, y1)=(1, -5) and (x2, y2)=(2, 10) in slope formula

That is, (10+5)/(2-1)

= 15

Similarly, slope between last two points (20+15)/(4-3)

=35

Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.

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Answer: stop A and stop B

Answer:

stop a and stop b.

Based on the given scenario, Steve who manages the property is a real estate agent.

The correct answer choice is option A

A real estate agent is a person who serves as n intermediary between tenant and landlord, buyers and sellers of properties. They collect rent, make little repairs and screen interested people. The real estate agent receives their reward based on commission, that is, a particular percentage of the property.

Therefore, Jordan is the tenant, Dave is the landlord and Steve is the real estate agent.

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The experimental probability that at least two heads would be gotten is 11 / 25.

The theoretical probability that at least two heads would be gotten is 1/2.

Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Experimental probability is based on the result of an experiment that has been carried out multiples times.

Experimental probability = number of times at least two heads would be gotten / total number of tosses

( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25

Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes

4 / 8 = 1/2

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Answer:

A.

Step-by-step explanation:

D: there is no square root

for both C and B there is no decimal.

A should end up being y=-8x+5 which is in y=mx+b form

By using linear equation, the patrick is 12 years old and pat is 29 years old.

We take variable x to find out their present age.

The fundamental equation used to represent and solve for an unknown quantity is a linear equation in one variable. It is always a straight line, and it is simply shown graphically. A mathematical statement is simply represented by a linear equation. Unknown amounts can be symbolised or represented by any variable. There are a few straightforward procedures for solving linear equations. To determine the final value of the unknown quantity, the constants are isolated to one side of the equation and the variables are isolated to the other side.

Let the age of patrick is 'x'. so the age of his father pat be 'x + 17'.

After 5 years, partrick's age will be 'x + 5'

And his father pat age will be x + 17 + 5 = 'x + 22'

After 5 years pat age will e twice of patrick age.

So that 2(x + 5) = x + 22

⇒ 2x + 10 = x + 22

⇒ 2x - x = 22 - 10

⇒ x = 12

So that the patrick is 12 years old and pat is 29 years old.

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plane PBC is right answer.

it's a logical answer....

Answer:

Plane PBC

Step-by-step explanation:

Plane PBC contains 4 points : P, B, C, and Q.

The question asks which contains all three of C, Q, and P.

Answer:

what I think the answer is ×=-9

Answer:

\(x\) = 19

The intersection of the sets written in interval notation is -1 ≤ x ≤ 4

Interval notation is a mathematical method or  way of writing subsets of the real number line.

It also helps in telling the part of the number line, from left to right, that is  included in the solution.

Given the sets;

( − 1 , 6 ] ∩ [ − 3 , 4 ]

(-1, 4) is the intersection of the sets

In interval notation, it is written as;

-1 ≤ x ≤ 4

Thus, the intersection of the sets written in interval notation is -1 ≤ x ≤ 4

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Answer:

Step-by-step explanation:

Use a^2 + b^2 = c^2 to get the third side.

a = 12

b = ?

c = 37

a^2 + b^2 = c^2

144 + b^2 = 37^2

144 + b^2 = 1369       Subtract 144 from both sides.

-144              -144

b^2 = 1225                Take the square root of both sides

sqrt(b^2) = sqrt(1225)

b = 35

Perimeter = a + b + c

Perimeter = 12 + 35 + 37

Perimeter = 84

The probability that exactly one of the two games will be won by Sally. against Martin \(= 0.42\) or 42%.

Use the concept of probability defined as:

Probability is the ratio of:

The number of favorable outcomes to the total number of outcomes for the occurrence of an event.

Given that,

Sally plays two games against Martin.

Sally had a chance to win, tie, or drop each game.

The probability that Martin will lose against Sally is \(0.3\).

The probability that Martin will lose against Sally in a tie is \(0.1\).

We need to calculate the probability that Sally will win exactly one of the two games against Martin.

To calculate the probability that Sally will win exactly one of the two games against Martin:

Use a combination of probabilities.

Since there are 2 games,

So in this case:

There are 2 possible outcomes:

1. When Sally plays, she either loses the first game and wins the second one, or she wins the first game and loses the second one.
The probability of Sally winning the first game and losing the second game can be calculated,

By multiplying the probability of winning (0.3) with the probability of losing,(1 - 0.3 = 0.7).

Similarly,

2. By doubling the likelihood of losing, which is, the chance of Sally losing the first game and winning the second game,

\(1 - 0.3 = 0.7\) with the probability of winning (0.3).

To determine the likelihood that Sally will triumph in precisely one of the two games: Add up this probability as follows:

(0.3 x 0.7) + (0.7 x 0.3)  = 0.42

Hence,

The probability that exactly one of the two games will be won by Sally against Martin = 0.42 or 42%.

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