Rosemary chooses to attend the University of Houston to earn her degree. Rosemary has $2,500 in her savings and a $1,000 savings bond from her grandparents to use for college. What is the estimated contribution needed from other sources to pay for Rosemary's first year? Display keyboard shortcuts for Rich Content Editor

Answer: 11 1/3 gallons of lemonade

Answer:

See explanation

Step-by-step explanation:

The number that would not belong is \(\sqrt{48}\) since it is irrational

Answer:

\(\sqrt{48}\)

Step-by-step explanation:

Looking at the numbers, we can see that the first number, third, and fourth number are all rational numbers since they either repeat or terminate.

On the other hand, let's try and simplify the square root of 48:

\(\sqrt{48}=\sqrt{16\cdot3}=\sqrt{16}\cdot\sqrt3=4\sqrt3\)

The square root of 3 is irrational. Therefore, 4 times the square root of 3 is also irrational. All of the given numbers are rational instead of the second one. So, the second number does not belong .

Answer:

y^3z^4

Step-by-step explanation:

y*y*y*z*z*z*z

y*y*y=y^3

z*z*z*z=z^4

Together,

y^3z^4

Hope this helps ;) ❤❤❤

Answer:

your answer is A, y³ z⁴

Step-by-step explanation:

it was correct for me.

Answer:

3 + 4i

Step-by-step explanation:

The correlation between variables x and y is 0.50 . The true option is option (c) .

that's the regression coefficient is positive for given bivariata.

Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The

sample correlation coefficient r quantifies the strength of the relationship.

Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.

Here:

Pearson's correlation coefficient is denoted by "r" and is

r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)

We have given that correlation between x and y is 0.50.

cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2

=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)

Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.

Symbolically it can be expressed as:

bₓᵧ= r σ ₓ /σ ᵧ

where x and y are correlated

σ ₓ --> standard deviation of X

σᵧ ---> standard deviation of y

We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.

Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.

Hence, Regression cofficient is positive.

To learn more about Regression and Correlation, refer :

https://brainly.com/question/16814950

#SPJ4

0.02 is the height of the rectangle in this density graph. Therefore, option C is correct.

A density plot illustrates how data are distributed over a continuous range or period of time. This graph is a variation of a histogram that smoothes out noise by using kernel smoothing to plot values, resulting in smoother distributions. A Density Plot's peaks aid in showing where values are concentrated throughout the interval.

Because they are unaffected by the number of bins used, density plots have an advantage over histograms in that they are better at determining the shape of the distribution (each bar used in a typical histogram). As opposed to a 20-bin Histogram, a histogram with only 4 bins would not produce a sufficiently distinguishable shape of distribution. This is not a problem, though, with density plots.

Let height be the X

X~U(0,50)

Height of the uniform distribution = 1/(50-0)

                                                         = 0.02

Thus, 0.02 is the height of the rectangle in this density graph.

Learn more about density plot

https://brainly.com/question/29201979

#SPJ1

Answer:

0.025

Step-by-step explanation:

Answer:

Option D is correct.

A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.

Step-by-step explanation:

When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

Hope this Helps!!!

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

900=490-9h

subtract the 490 from 900

510=9h

divide by 9 and thays how many hours left

Answer:

Step-by-step explanation:

3:7

find the number that 3 multiplies with to get 8 = 28

multiply: 7x28

84:196

find the number that 2 multiplies with to get 196= 98

multiply: 5x98

196:490

There are 196 bananas

There are 490 oranges

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

Read more about sequence at:

https://brainly.com/question/7882626

#SPJ1

Question: A rectangular prism shaped produce drawer in a refrigerator is 8 inches tall. The perimeter of the bottom of the drawer is 48 inches. The length of the bottom of the drawer is 4 inches longer than the width. Find the volume of rectangular prism shape.

Answer:

1120 cubic inch

Step-by-step explanation:

Applying

V = Ah................... Equation 1

Where v = volume, A = Area of the base, h = height.

Note: The prism has a rectangular base,

Therefore,

A = l×w

A = lw................... Equation 2

Where l = lenght of the rectangle, w = width of the rectangle.

Substitute Equation 2 into equation 1

V = lwh................. Equation 3

Also

P = 2(l+w).................. Equation 4

From the question,

l = w+4 (the length of the bottom of the drawer is 4 inches longer than the width), P = 48 inches.

Substitute these values into equation 4

48 = 2(w+4+w)

2(w+4+w) = 48

(w+4+w) = 48/2

(w+4+w)  = 24

2w+4 = 24

2w = 24-4

2w = 20

w = 20/2

w = 10 inches, l = 10+4 = 14 inches.

Also given: h = 8 inches.

Substitute these values into equation 3

V = 10×14×8

V = 1120 cubic inch

Answer/Step-by-step explanation:

Ratio of number of Board games [202020]  to Number of Card [888]

\(\frac{202020}{888}\)   or 202020 to 888 or 202020:888

========================================================

Simplify can be:

\(\frac{455}{2}\)  or 455 to 2 or 455:2

Answer:its 5:2

Step-by-step explanation:because 5 10 15 20 ,  2 4 6 8  the both contain 4 numbers to make 20 and 8

By applying initial value theorem we can determine the values of the voltage as follows:

Procedure:-

1) Find the transfer function X(s)

2) Multiply X(s) by s

3) Take the limit of sX(s) as S goes to zero

4) Result is value of x(t) when t = infinity

\(\lim_{t \to \infty} x(t) = \lim_{s \to \o} sX(s)\)

By applying final value theorem we can determine the values of the voltage as follows:

Procedure:-

1) Find the transfer function X(s)

2) Multiply X(s) by s

#) Take the limit of sX(s) as S goes to infinity

4) Result is value of x(t) when t = 0

\(\lim_{t \to \o} x(t) = \lim_{s \to \infty} sX(s)\)

Given question is incomplete.

To know more about voltage here

https://brainly.com/question/24256473

#SPJ4

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

Learn more about parametric equations here:

brainly.com/question/28537985

#SPJ4

so:

Power rule

The value of the double integral of x² over the region bounded by the ellipse 9x² + 4y² = 36 using the given transformation is π/4.

First, let's define the given transformation. We are given that x=2u and y=3v, which means that we are transforming our original x-y plane into a u-v plane.

We know that the region is bounded by the ellipse 9x² + 4y² = 36. Substituting the given transformations into this equation, we get:

9(2u)² + 4(3v)² = 36 36u² + 36v² = 36 u² + v² = 1

Now, we can use the transformation formula to evaluate the double integral of x² over this region. The transformation formula tells us that:

∬R f(x,y) dA = ∬S f(u,v) |J| dA

where R is the region in the x-y plane, S is the region in the u-v plane, f(x,y) is the integrand in the x-y plane, f(u,v) is the integrand in the u-v plane, |J| is the Jacobian determinant of the transformation (which we will find shortly), and dA is the area element in the respective planes.

In our case, f(x,y) = x² and f(u,v) = (2u)² = 4u². The area element dA in the x-y plane is dx dy, while in the u-v plane it is |6| du dv (since |J| = |d(x,y)/d(u,v)| = |6|). Thus, our integral becomes:

∬R x² dA = ∬S (4u²) (|6|) du dv

Integrating this expression over the limits -1 to 1 for both u and v, we get:

∬S (4u²) (|6|) du dv = 48 ∫∫S u² du dv

where S is the unit circle in the u-v plane. To evaluate the double integral ∫∫S u² du dv, we can use polar coordinates, where u = r cos θ and v = r sin θ. Then, the integral becomes:

\(\int _{\theta =0} ^{2\pi} \int_{r=0} ^{ 1}\) (r² cos² θ) r dr dθ

Evaluating this integral using standard techniques, we get:

\(\int _{\theta =0} ^{2\pi} \int_{r=0} ^{ 1}\) (r³ cos² θ) dr dθ

\(\int _{\theta =0} ^{2\pi} \int_{r=0} ^{ 1}\) (cos² θ)/4 dθ

Simplifying this expression, we get:

\(\int _{\theta =0} ^{2\pi}\) (cos² θ)/4 dθ = ∫θ=0 to 2π (1 + cos 2θ)/8 dθ

Using the fact that ∫ cos 2θ dθ = 0 and ∫ dθ = 2π, we get:

\(\int _{\theta =0} ^{2\pi}\) (cos² θ)/4 dθ = (1/8) \(\int _{\theta =0} ^{2\pi}\)dθ + (1/8) \(\int _{\theta =0} ^{2\pi}\) cos 2θ dθ

Simplifying further, we get:

\(\int _{\theta =0} ^{2\pi}\)(cos² θ)/4 dθ = π/4

To know more about integral here

https://brainly.com/question/18125359

#SPJ4

Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

Third quartile Q₃ of the given data is 11

correct option is: b

What is the 75th percentile value?

0.675

For instance, the median represents the 50th percentile, the first quartile represents the 25th percentile, and the third quartile represents the 75th percentile.

What exactly is Q3?

Q3, the third quartile, is known as the 'upper quartile,' and represents the 75th percentile, which means that only 25% of the values in the set are greater than this value.

given data:

7,14,8,10,7,8,9,7,14,6.

In ascending, order data is 6,7,7,7,8,8,9,10,14,14.

number of terms N = 10

therefore, third quartile Q₃ = \(\frac{3}{4} (n + 1)\)

Q₃ = \(\frac{3}{4} (10 + 1)\)

Q₃ = 8.25th term

Q₃ = 8th term + 0.25 = 11

therefore, therefore, third quartile Q₃ of the given data is 10

correct option is: b

To know more about Third quartile visit:

https://brainly.com/question/16551545

#SPJ4

Answer:

Step-by-step explanation:

5 classes costs $40

5x8=$40

Answer:

40x 12 year olds
50x 13 year olds
10x  14 year olds

Step-by-step explanation:

40% of 100 is 40
50% of 100 is 50
100%-90%=10%, 10% of 100 = 10

Students of 12 years are 40%, students of 13 years are 50% and students of 14 years are 10%.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".

Given, total students in band  = 100

40% are of  12 years

40% of 100 = 0.4 x 100  = 40

12 years student = 40 = 40%

1/2 of 13 years

1/2 of 100 = 1/2 x 100 = 50 =50%

13 years of student = 50

and rest are 14 years

100 - 50 - 40 = 10

14 years student = 10 = 10%

Hence 40% students are 12 years, 50% are of 13 years and 10% of students are of 14 years.

Learn more about percent;

https://brainly.com/question/28840349

#SPJ2

1441440 ternary strings (digits 0,1, or 2) are there with exactly seven 0's, five 1's, and four 2's.

What is permutation?

A permutation of a set in mathematics is a loosely defined organization of its members into a sequence or linear order, or, if the set is already ordered, a rearranging of its elements. The term "permutation" also refers to the act or process of shifting the linear order of a set.

Here, we have

We have to find the ternary strings (digits 0,1, or 2) that are there with exactly seven 0's, five 1's and four 2's.

There are a total of 7 + 5 + 4 = 16 characters in the string.

The total number of ways to permute seven 0's, five 1's and four 2's is :

= 16!/(7! 5!4!)

= 1441440

Hence,  1441440 ternary strings (digits 0,1, or 2) are there with exactly seven 0's, five 1's and four 2's.

To learn more about the permutation from the given link

https://brainly.com/question/1216161

#SPJ4

We need to find the area of the sector which is given by the next formula:

Area of the sector = ( central angle / total angle ) * area of the circle

First, we need to find the area of the circle:

Now, we can use the formula for the area of the sector

Central angle = 64

The total angle of a circle= 360

Area of the circle = 144π

Replacing using the formula:

Area of the sector = (64/360) * 144π

Area of the sector = 128π/5

Area of the sector = 80.42477

Answer:

2

Step-by-step explanation:

Answer:

D) the bigger circle

Step-by-step explanation:

Answer:

3y

Step-by-step explanation:

Divide the numbers and then divide the variables.

21/7 = 3

y²/y = y

Therefore,

21y²/7y = 3y

Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Answer:

3x + 4y = 16

Step-by-step explanation:

please mark this answer as the brainliest

the  y=   equation shows how... b/c we can just plug y into the 2nd equation and eliminate y and have one variable, x , to solve for  :)