John increased the amount of water he drinks every day from 20 fluid ounces to 48
fluid Ounces. By what percentages did John increases the water he drinks?

Answer:

5:9 or 5/9

Step-by-step explanation:

A ratio between two (or more) numbers can be written in two (common...) forms, in this case:

5:9

and

5/9

Answer:

To simplify the ratio 5:9, we find the greatest common divisor of 5 and 9, and then we divide 5 and 9 by the greatest common divisor. Or if you want to know if its equivalent you would be able to divide evenly by the same number for both for example, 15:27 are equivalent since they both can be divided by themselves three times

Step-by-step explanation:

Elijah's elevation when Elijah is snorkeling above a shipwreck is -14.

Elevation simply has to do with the height above sea level.

In this case, Elijah is snorkeling above a shipwreck and the ship has an elevation of -105 feet. Elijah is snorkeling at 2/15 of the ship's elevation.

Elijah's elevation will be:

= Fraction of his snorkeling × Ship's elevation

= 2/15 × (-105)

= -14

This shows the elevation of Elijah.

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Answer:

11

Step-by-step explanation:

121/11=11

Answer:

11

Step-by-step explanation:

Divide 121 by 11 and you get 11.

Answer:

Step-by-step explanation:

ok so first we have to multiply 18x35=630 that's what he would of gotten originally but since he worked 8 hour extra its 18x8=144 so thats how much he earned from the overtime so the you add 630+144=774 so in the week he got 774 dollars and worked a total of 43 hours :)

Answer:

$918

Step-by-step explanation:

Your answer is $918 because you know that $18 per hour and he worked 35 hours which you could do 18x35=630 then for overtime it is double so he did 8 hours overtime so you could do 18x2 which is 36 then do 36x8 which is 288 then add both of the numbers $288x$630=$918 therefor Rick's total pay is $918.Hope it helps you!

(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Answer:

Step-by-step explanation:

The null hypothesis is described as the default hypothesis while the alternative hypothesis us always tested against this null ie the opposite of the null hypothesis.

In this case study, Let the proportion of houses that have home security be p

Thus, the null hypothesis is proportion of houses that have home security is 45% : p = 45%

The alternative hypothesis is proportion of houses that have home security is different than 45%: p =/ 45%

Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

\(z = \frac{X - \mu}{s}\)

In which:

X is the measured value.

\(\mu\) is the expected value.

\(s = \frac{\sigma}{\sqrt{n}}\) is the standard deviation of the sample. \(\sigma\) is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that \(\mu = 2.9, \sigma = 0.1\)

Random sample of 100 screws.

This means that n = 100.

To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

3 inches, so \(X = 3\)

\(s = \frac{0.1}{\sqrt{100}} = 0.01\)

\(z = \frac{X - \mu}{s}\)

\(z = \frac{3 - 2.9}{0.01}\)

\(z = 10\)

Answer:

-10

Step-by-step explanation:

If we first note the denominator of fraction numerator sigma over denominator square root of n end fraction equals fraction numerator 0.1 over denominator square root of 100 end fraction equals fraction numerator begin display style 0.1 end style over denominator 10 end fraction equals 0.01

Then, getting the z-score we can note it is z equals fraction numerator x with bar on top minus mu over denominator begin display style 0.01 end style end fraction equals fraction numerator 2.9 minus 3 over denominator 0.01 end fraction equals negative 10

This tells us that 2.9 is 10 standard deviations below the value of 3, which is extremely far away.

Answer:

34

Step-by-step explanation:

Answer:34

Step-by-step explanation:

2/3x21=14

14+20=34

The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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Answer:

D

Step-by-step explanation:

y is directly proportional with x with a constant value.

The constant value ＝y ÷ x ＝35÷2.5 ＝14

y＝14x

y＝14×3.25＝45.5

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

The statement "1 is NOT in the domain" is true because for the function f(x), the expression x - 7 results in division by zero when x equals 1, which makes 1 not a valid input for the function.

To determine if a value is in the domain of a function, we need to consider any restrictions or limitations on the input values.

For the function f(x) = √(x - 7), the square root function is defined only for non-negative values.

Therefore, the expression (x - 7) inside the square root must be greater than or equal to zero. In other words, x - 7 ≥ 0.

Solving this inequality, we find x ≥ 7.

This means that any value of x that is greater than or equal to 7 is in the domain of f(x).

However, the statement is asking specifically about the value 1.

Since 1 is less than 7, it does not satisfy the inequality x ≥ 7 and is therefore not in the domain of f(x).

Similarly, for the function g(x) = 4x - 8, there are no restrictions on the domain.

Any real number can be substituted into the function, including the value 1.

Therefore, the statement "1 isn't in the domain of f(0) g" is not accurate.

It is true that 1 is not in the domain of f(x), but it is in the domain of g(x).

In summary, the correct statement is that "1 is not in the domain."

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Answer:2,440,000,000

Step-by-step explanation:

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

ANSWER

EXPLANATION

We want to find the equation for the relationship shown in the table.

The relationship shown in the table represents a linear relationship. The general form of a linear equation is:

where m = slope

b = y-intercept

To find the slope of the equation, apply the formula:

where (x1, y1) and (x2, y2) are two sets of values from the table.

Let us take (3, 7) and (5, 11) as (x1, y1) and (x2, y2)

Hence, the slope of the equation is:

Now, to find the equation of the line, apply the point-slope method:

Therefore, the equation that shows the relationship in the table is:

The correct option is option C.

Answer:

\( \sf \large \: x≤6 \: or \: x≥10\)

Step-by-step explanation:

Let's solve your inequality step-by-step.

x2−16x+60≥0

Let's find the critical points of the inequality.

x2−16x+60=0

(x−6)(x−10)=0(Factor left side of equation)

x−6=0 or x−10=0(Set factors equal to 0)

x=6 or x=10

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x≤6(Works in original inequality)

6≤x≤10(Doesn't work in original inequality)

x≥10(Works in original inequality)

Answer:

(11 x 5) + 4 = 59

Step-by-step explanation:

You take whats in the parentheses, (11 x 5) and multiply.

You get a result of 55, then add your 4.

Note ; We multiplied each of the x-values with their probabilities and obtain the sum of all. This gives the expected value.

Answer:

no

Step-by-step explanation: the unit rate for 3 in 15 mins is 1 every 5 minutes.

the unit rate for the second one would be 1 for every 4 however

Answer:

No those rates are not proportionate

Step-by-step explanation:

15 divided by 3 = 5

20 divided by 5 = 4

Therefor proving that it took the person who did 5 levels took less time per level than the person who did 3.

Solution

Given

We want to determine if it's a Polynomial

A polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Hence 4 - 8x + x^2 is a Polynomial

Answer:

x = 87/5

Step-by-step explanation:

the difference of a number ( x ) and 16

x - 16

mutiplied 5*

5(x - 16)

-------------

5(x - 16) = 7

5x - 80 = 7

5x = 87

x = 87/5

I might be wrong

Answer:

x = -1

Step-by-step explanation:

To solve this, we want to isolate x:

9 - 15x = 28 + 4x

Subtract 9 from both sides:

-15x = 19 + 4x

Subtract 4x from both sides:

-19x = 19

Divide both sides by -19:

x = -1

The HCF of 560 and 729 is 1.

To find the HCF of 560 and 729, we use the Euclidean algorithm as follows;HCF of 560 and 729:Step 1: Divide the larger number by the smaller number, then find the remainder.729 ÷ 560 = 169 remainder 169Step 2: Divide the smaller number (i.e., 560) by the remainder (i.e., 169).560 ÷ 169 = 3 remainder 53.

Step 3: Divide the remainder from step 1 (i.e., 169) by the remainder from step 2 (i.e., 53).169 ÷ 53 = 3 remainder 10Step 4: Divide the remainder from step 2 (i.e., 53) by the remainder from step 3 (i.e., 10).53 ÷ 10 = 5 remainder 3Step 5: Divide the remainder from step 3 (i.e., 10) by the remainder from step 4 (i.e., 3).10 ÷ 3 = 3 remainder 1.

Step 6: Divide the remainder from step 4 (i.e., 3) by the remainder from step 5 (i.e., 1).3 ÷ 1 = 3 remainder 0The HCF of 560 and 729 is the last non-zero remainder, which is 1.

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The Length is 5 inches and the Breadth is 15 inches

What is Perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.

Solution:

Perimeter of Rectangle = 2*(Length + Breadth)

According to the question

Breadth = 3*Length

Perimeter = 40

40 = 2*(Length + 3*Length)

20 = 4*Length

Length = 5 inch

Breadth = 15 inch

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Answer: \(t=c+40\)

Step-by-step explanation:

t=total

well the original amount didn't change so "c" stays the same.

and we just add a constant since she just won 40 CDs with nothing more.

so

Answer: \(t=c+40\)

Answer:

t=c+40

Step-by-step explanation:

t = total

c= the number of Cds she has

40= plus the cds she already has