A bottle contains 30 fluid Ounces of orange juice and 18 fluid Ounces of pineapple Juice. Whichgraph has a slope that best represents the ratio of orange juice to pineapple juice in thisbottle?

sorry i actually dont know :(

Answer:

You must know what a quotient is first.

Step-by-step explanation:

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

Answer:

yes, the subtracting of two rational numbers is like subtracting two fractions, and the result will always be a fraction which is a rational number. (All rational numbers is a number that can be represented as a fraction)

Step-by-step explanation:

The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the Inequality y≤ 1/2 x -4.

Now, we plot the inequality on the Graph as shown by the red region.

As, the inequality intersect the axis at (0, -4) and (8, 0).

Thus, the solution is (0, -4) and (8, 0).

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Answer:

-1.6

Step-by-step explanation:

4x +8y=0

y=0.8 ⇒

Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

Answer:

Yes, the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.

Step-by-step explanation:

2010 proportion:

629 cases out of 1021. So the proportion is:

\(p = \frac{629}{1021} = 0.616\)

2011 proportion:

486 cases out of 712. So the proportion is:

\(p = \frac{486}{712} = 0.683\)

0.683 > 0.616 so the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.

Answer:

for ppl with edge its c

Step-by-step explanation:

edge 2022

Answer:

not sure what you need but I would be happy to help

Answer:

A

C

D

Step-by-step explanation:

Answer:

a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = \(\frac{1}{9}\)

b) P( the sum of both dice adding up to 4) = \(\frac{5}{54}\)

Step-by-step explanation:

Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is  and the probability of rolling an even number is  , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.

To find - What is the probability of:

                a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.

                b) the sum of both dice adding up to 4.

Proof -

The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

                                          (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

                                          (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

                                           (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

                                           (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

                                            (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }

Now,

Given that , Dice 1 is fair

⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = \(\frac{1}{6}\)

Also,

Given Dice 2 is unfair

⇒P₂(1) = P₂(3) = P₂(5) = \(\frac{2}{3}.\frac{1}{3} = \frac{2}{9}\)

    P₂(2) = P₂(4) = P₂(6) = \(\frac{1}{3}.\frac{1}{3} = \frac{1}{9}\)

Now,

a)

P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)

= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]

= \(\frac{2}{9}\) [ \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) ] =  \(\frac{2}{9}\)\([\frac{3}{6} ]\) = \(\frac{1}{9}\)

⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = \(\frac{1}{9}\)

b)

P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)

                                                                   = \(\frac{1}{6}\) × \(\frac{2}{9}\)  + \(\frac{1}{6}\) × \(\frac{1}{9}\) + \(\frac{1}{6}\) × \(\frac{2}{9}\)   =  \(\frac{5}{54}\)

⇒P( the sum of both dice adding up to 4) = \(\frac{5}{54}\)

Answer:

4

Step-by-step explanation:

The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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Answer:

The amount to be paid for insurance will be $ 937,500. In this context, it is reasonable that insurance costs increase proportionally, as the ride will have a greater use and, therefore, a greater exposure to risk.

Step-by-step explanation:

Given that the amusement park Diablo's Domain ride generated $ 250,000,000 in revenue, and the company paid $ 750,000 in insurance for that game ($ 3 for every $ 1,000 in profit), to determine the amount of insurance that should be paid if the winnings increase by 25% and the same proportion of 3/1000 to be paid is maintained, the following calculation must be made:

(250,000,000 x 1.25) x (3/1000) = X

312,500,000 x 0.003 = X

937,500 = X

Therefore, the amount to be paid for insurance will be $ 937,500.

We have that El Paso is 320 miles from Tucson and 720 miles from San Diego.

You're travelling from Tucson to San Diego.

First we have to find the distance from Tucson to San Diego. We can do this by finding the difference between the distance of Tucson from San Diego and El Paso from San Diego.

That is:

720−320

400 miles

You leave by 6:00 am.

You drive for 75 miles per hour in 4 hours for the first part of the journey.

You then drive for 50 miles per hour for the rest of the journey.

The first step is to find the distance that the rest of the journey took. We can do that by first finding the distance covered in the first part of the journey and subtracting that from the total distance (400 miles).

To find the distance for the first part of the journey, we apply the formula for speed (rate of change of distance with time):

s = d/t

⇒d = s⋅t

where d= distance; t = time

Therefore:

d=75⋅4

d=300 miles

The first part of the journey covered 300 miles. This means that the rest of the journey covered:

400 - 300 = 100 miles

Now, to find the time the rest of the journey took, we have to apply the same formula for speed:

s=d/t

t=d/s

Therefore:

t=100/50

t=2 hrs

To find the total time it took to complete the journey, we have to add the times for the first part and the rest of the journey.

That is:

T=4+2

T=6 hours

Since you left home by 6:00 am, the time you will get to San Diego is 6 hours after that, i.e. 12 noon (Tucson time)

That is the answer.

Mr. Reed DATA:

rate = 40 mph ; time = x 4.5 hrs ; distance = 40x miles

-----

Mrs. Reed DATA:

rate = 60 mph ; time = x hrs ; distance = 60x - 210 miles

------

Equation:

40x = 60x -210

-20x = -210

x = 10.5 hrs

x-3.5 = 7 hrs (Mr. Reed's time)

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (amount in the account after 25 years)

P = Principal amount (amount deposited every 2 months)

r = Annual interest rate (in decimal form)

n = Number of times the interest is compounded per year

t = Number of years

In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.

Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.

Now, we can substitute these values into the formula:

A = 940(1 + 0.0399/4)^(4*25)

Calculating the exponent first:

(1 + 0.0399/4)^(4*25) ≈ 2.703236

Now, substituting the calculated exponent and the number of deposits into the formula:

A = 940 * 2.703236 * 150 ≈ $594,311.34

Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.

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Answer:

780

Step-by-step explanation:

12 chairs x 65 rows

Answer: 780

Step-by-step explanation: Because if each row has 12 chairs then you would already know that sounds like multipication, so just multiply 65 times 12 and that will be 780 chairs in all.

Answer:

TV = 18

Step-by-step explanation:

RS =  24, RT = 15, TS = 27

Use Sine to find the value of the vertical angles:

(The vertical angles are labeled as 'T')

sinT = RS/TS

T = \(sin^{-1}\)(RS/TS)

T = 69.7

Use Sine to find the value of TV:

sin(TV) = \(\frac{UV}{TV}\)

sin(69.7) = \(\frac{16}{TV}\)

TV = \(\frac{16}{sin(69.7)}\)

TV = 18

Yes, the solution is correct as x = 4

Algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.

These expressions are also composed of operations, such as;

From the information given, we have that;

8 - √x = 10

collect the like terms

- √x = 10 - 8

subtract the values

- √x = 2

Then, we have;

√x = -2

Take the square root of both sides

x = (-2)²

x = 4

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The correct answer is 01.90.

Confidence intervals are a range of values that likely contain an unknown population parameter, such as the population mean or proportion. Confidence intervals are estimated from a sample of data, and are used to indicate the degree of uncertainty associated with the estimate. They are typically expressed as a range of values with an associated level of confidence, such as 95% or 99%.

To calculate the confidence interval for a population mean, we use the formula:

CI = x ± z*(s/√n)

where:

CI = confidence interval

x = sample mean

z = critical value for the desired confidence level

s = sample standard deviation

n = sample size

For a 95% confidence level, the critical value z is 1.96.

Plugging in the values given:

CI = 16 ± 1.96*(9.1/√91)

Simplifying:

CI = 16 ± 1.90

So the 95% confidence interval for the population mean is (14.1, 17.9).

Therefore, the correct answer is 01.90.

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Using exponential function, Correct answers are D and F. 8².8⁵ is equivalent to  8²⁺⁵,  8⁷

An exponential function is a mathematical function with the expression f (x) = ax. where x is a variable and an is a constant known as the function's base. The most common exponential-function base is the transcendental number e, or around 2.71828.

When the base is bigger than 1, the exponential function has the following characteristics.

The value of 8².8⁵ is  -

8²⁺⁵

8⁷,

Which is equivalent to 7 times 8.

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An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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The expected difference in the member's scores is 0, the standard deviation is 6.8, and P(Z>0.88) is 0.3788.

A continuous random variable's bell-shaped frequency distribution curve is known as the normal distribution. It refers to a symmetrical depiction of data around its mean value, where the standard deviation determines the width of the curve.

Given that mean is 20.9 and the standard deviation is 4.8.

A) The expected difference in the score of members is given by,

\(\begin{aligned}\text{Expected difference E[x-y]}&=E[x]-E[y]\\&=20.9-20.9\\&=0\end{aligned}\)

B) The standard deviation in the score of the members is given by,

\(\begin{aligned}\text{Standard deviation}\;\sigma&=\sqrt{\text{Var [x-y]}}\\&=\sqrt{4.8^2+4.8^2}\\&=\sqrt{46.08}\\&=6.8\end{aligned}\)

C) The probability that the difference in the two students' scores is greater than 6,

\(\begin{aligned}Z &= \pm\mathrm{\frac{(mean-x)}{SD}} \\&= \pm\frac{(0-6)}{6.8}\\& =\pm0.88 \end{aligned}\)

From the z-table,

\(\begin{aligned}P(Z < -0.88 \;\text{or}\;Z > 0.88)&=2\times P(Z > 0.88)\\&=2\times 0.1894\\&=0.3788\end{aligned}\)

The required answers are 0, 6.8, and 0.3788.

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Equivalent lines in slope-intercept and standard form are:

y = -1/2x + 6 (slope-intercept form)

1/2x + y = 6 (standard form)

Let,

m = -1/2

b = 6

equation in y = -1/2x + 6 is: y = -1/2x + 6

Rewrite y = -1/2x + 6 in standard form.

y = -1/2x + 6

Add -1/2x to both sides of the equation

1/2x + y = 6

In summary, equivalent lines in slope-intercept and standard form are:

y = -1/2x + 6 (slope-intercept form)

1/2x + y = 6 (standard form)

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Answer:

AB/AD=1/2       AC/AE=1/2

Step-by-step explanation:

The distance between 2 points A(x1; y1)     and  B(x2;  y2) can be calculated as:

AB= sqrt((x1-x2)²+(y1-y2)²)

So in our case AB= sqrt ((1-3)²+(4-1)²)= sqrt(2²+3²)=sqrt(13)

AD=sqrt ((-1-3)²+(7-1)²)= sqrt(4²+6²)=sqrt(52)

AB/AD=sqrt(13)/sqrt(52)= sqrt(13/52)=sqrt(1/4) =1/2

AB/AD =1/2

AC= sqrt ((5-3)²+(3-1)²)= sqrt(2²+2²)=sqrt(8)

AE=sqrt ((7-3)²+(5-1)²)= sqrt(4²+4²)=sqrt(32)

AC/AE=sqrt(8)/sqrt(32)= sqrt(8/32)=sqrt(1/4)=1/2

AC/AE=1/2

Answer:

first one is 1/2

second one is 1/2

Step-by-step explanation:

got it right on edge 2020

6a. The equation for the graph is y = 2√(x + 5).

6b. The equation for the graph is y = -|x + 1| + 5

In Mathematics and Geometry, the standard form of a square root function can be modeled as follows;

y = a√(x - h) + k

Part 6a.

Next, we would determine value of a as follows;

4 = a√(-1 + 5) + 0

4 = a√4

4 = 2a

a = 2

Therefore, the required square root function is given by;

y = 2√(x + 5)

Part 6b.

Since the line representing the absolute value function has a y-intercept at (0, 4) and vertex at (-1, 5), the absolute value equation for the graph is given by:

y = a|x - h| + k

y = -|x + 1| + 5

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