Solve the problem.

Center City East Parking Garage has a capacity of 253 cars more than Center City West Parking Garage. If the
combined capacity for the two garages is 1215 cars, find the capacity for each garage.

Answer:

Step-by-step explanation:

+ At time 0 (beginning), the volume is 5 (feet^3) of sand.

+ After 1 minute, it lefts: 90% of 5 = 0.9*5

+ After 2 minutes, it left 90% of (0.9*5) = 0.9*(0.9*5)

or

\(5.(0.9)^{2}\)

+ After 3 minutes, it left 90% of    \(5.(0.9)^{2}\)

or

\(5.(0.9)^{3}\)

.......

+ After x minutes, it left 90% of    \(5.(0.9)^{x-1}\)

or

\(5.(0.9)^{x}\)

So the answer is \(5.(0.9)^{x}\), that means C

Answer:

54xy

Step-by-step explanation:

Any 4 sided parallelogram's area is the base multiplied by its height. We know both of those, 6x and 9y

The area is, 54xy

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

Learn more about repeating decimal at https://brainly.com/question/602727

#SPJ1

Answer: There is a positive strong correlation

Step-by-step explanation: i learned that i think

You can use the definition of correlation coefficient which is just a constant value giving idea about how correlated two data sets' values are.

The correlation coefficient 0.9532 shows that the values are too much correlated(positively).

Correlation coefficient is a measure of how similar two datasets are acting.

The range of correlation coefficient is [-1, 1]

Since given correlation coefficient s 0.9532 which is too close to 1 compared with closeness to 0, we conclude that the set of data containing paired values have highly positive correlated values.

Learn more about correlation coefficient here:

https://brainly.com/question/10725272

There are several methods to formulate a mathematical equation. A model, in its simplest basic form, is a quantitative declaration that two major theoretical findings are comparable.

A mathematical equation can be defined in a variety of ways. In its most basic form, a model is a mathematical assertion that indicates that two theoretical results are equal. 3x + 5 = 14, for example, is an equation inside which 3x + 5 and 14 are two formulas separated by an 'equal' sign. In mathematics, the most fundamental and elementary algebraic equations are comprised of one or more parameters.

Type of the mathematical equations are as follows:

A math statement is not the same as a maths problem. Between two arithmetic statements, a solution will always employ the equivalent (=) symbol.

More about the mathematical equation link is given below.

https://brainly.com/question/13170101

#SPJ1

Answer: Equations can vary!

Step-by-step explanation: 1. Equations can be as simple as a math sentence with always an equal sign, make sure it balances, for example, 1+1=2

2. Equations can be complicated sometimes, with variables, but still you have to BALANCE both sides EQUALLY. One question is: 1+x=3

It seems simple and it is, and yeah you've actually done lots of equations throughout your life. Ever heard of algebra, it consists of equations, have you ever seen this 1+?=3? That's an equation with a variable that is represented as, or sometimes a box. You might take a look and say easy. I know, but the traditional steps are to take one on both sides first, but never forget what you do on one side you ALWAYS have to do to the other side. This is an easy equation question, there are going to be much more complex ones in the future.  

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

For such more questions on debt

https://brainly.com/question/28929846

#SPJ8

Answer:

2 cups of milk, 4 cups of flour, and 2 cups of other ingredients

Step-by-step explanation:

multiply them by 2

Answer:

If you see this let's talk here lol

Step-by-step explanation:

Answer:

Simple, no. This would not be enough.

Step-by-step explanation:

This is because you mentioned that there are 20 students and each of them needed 2 plates. So, there would need to be at least 40 plates. Forks seem irrelevant in this question but if the teacher has 8 plates in 1 box and another 8 in the second box, that would sum up to 16 plates that are available. And the fact that the box doesn't even include the other items, should hint the lack of items available for the students.

This question seemed worded differently. But tried my best. :)

Answer:

The test statistic for the hypothesis test is -1.202.

Step-by-step explanation:

We are given that a report on the nightly news broadcast stated that 10 out of 129 households with pet dogs were burglarized and 23 out of 197 without pet dogs were burglarized.

Let \(p_1\) = population proportion of households with pet dogs who were burglarized.

\(p_2\) = population proportion of households without pet dogs who were burglarized.

SO, Null Hypothesis, \(H_0\) : \(p_1=p_2\)     {means that both population proportions are equal}

Alternate Hypothesis, \(H_A\) : \(p_1\neq p_2\)     {means that both population proportions are not equal}

The test statistics that would be used here Two-sample z-test for proportions;

                           T.S. =  \(\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }\)  ~ N(0,1)

where, \(\hat p_1\) = sample proportion of households with pet dogs who were burglarized = \(\frac{10}{129}\) = 0.08

\(\hat p_2\) = sample proportion of households without pet dogs who were burglarized = \(\frac{23}{197}\) = 0.12

\(n_1\) = sample of households with pet dogs = 129

\(n_2\) = sample of households without pet dogs = 197

So, the test statistics  =  \(\frac{(0.08-0.12)-(0)}{\sqrt{\frac{0.08(1-0.08)}{129}+\frac{0.12(1-0.12)}{197} } }\) 

                                     =  -1.202

The value of z test statistics is -1.202.

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

To learn more about Fraction here,

https://brainly.com/question/10354322

Answer:

b or c

Step-by-step explanation:

Answer:

I believe it is B

Step-by-step explanation:

When I calculated it, I got 1.148 for the first number and when u round it, you would get 1.2.

The number line that shows the solution to the inequality is given as follows:

First number line.

The inequality in the context of this problem is defined as follows:

-6x + 5 >= 17

-6x >= 12.

Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:

6x <= -12.

Then the solution is given as follows:

x <= -2.

Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.

More can be learned about inequalities at brainly.com/question/25275758

#SPJ1

The number line that shows the solution to the inequality is: C. graph C.

In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided above, we have the following equation (inequality);

-6x + 5 ≥ 17

By subtracting 5 from both sides of the equation (inequality), we have;

-6x + 5 - 5 ≥ 17 - 5

-6x ≥ 12

x ≤ 12/6

x ≤ 2 (it would be shaded to the left with a closed circle at 2).

Read more on inequality here: https://brainly.com/question/30665021

#SPJ1

Answer:

65

Step-by-step explanation:

Area of a parallelogram = base × height

Therefore,

Area = 13 × 5

= 65cm

Hope it helps!

Answer:

the top empty box is 5 the second down box is 4 the box under 6 is 8

Step-by-step explanation:

Answer:

1 solution

Step-by-step explanation:

4(x-5)=3x+7

4x - 20 = 3x + 7

y = 4x - 20 and y = 3x + 7 are straight lines with different slopes, so they must intersect at exactly 1 point.

1 solution

Answer:

there are only one solutions

Step-by-step explanation:

why there is only one solutions because

4(x - 5) = 3x + 7

4x - 20 = 3x + 7

+ 20 =     + 20

4x = 3x + 27

-3x  -3x

1x = 27

x = 27

so therefore A.1 is the answer

Anwser:

5.3/4 = 1.3 (.3 repeating)

Step-by-step explanation:

5 1/3 = 5.3 (.3 is repeating)

then divided by 4

The length of RS is 13 units and the length of the hypotenuse XY is approximately 16.4 units.

15) In ΔTSR

TR² = TS² + RS²

Substituting the given values, we get:

(5√10)² = 9² + RS²

250 = 81 + RS²

RS² = 169

Taking the square root of both sides, we get:

RS = 13 units

16)In ΔYZX

XY² = YZ² + XZ²

Substituting the given values, we get:

XY² = 10² + 13²

XY² = 169 + 100

XY² = 269

Taking the square root of both sides, we get:

XY = √269

XY=16.4 units

What is Pythagorean theorem?

In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

To know more about the Pythagorean Theorem visit:

https://brainly.com/question/18163189

#SPJ1

9514 1404 393

Answer:

  (6,2)

Step-by-step explanation:

As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.

When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...

  X' = (6, 2)

_____

Additional comment

X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...

  X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)

Answer:

100 seconds

Step-by-step explanation:

200/2 = 100s

Answer:

y = 5

Step-by-step explanation:

Because of the perpendicular bisector, we know that WZ is congruent to WX. Therfore, we can set their equations as equal to eachother and solve for y.

Answer:

100 ml of 5% solution

200 ml of  20% solution

Step-by-step explanation:

x = amount of 5% solution

y = amount of 20% solution

System of equations:

x + y = 300

.05x + .20y = 300(.15)

Solve by substitution:  let y = 300 - x

.05x + .2(300-x) = 300(.15)

.05x + 60 - .20x = 45

-.15x = -15

x = 100, therefore y = 200

Answer:

when x = -4, h = -7

when x = 0, h = -5

when x = 4, h = -3

when x = 8, h = -1

Step-by-step explanation:

x = -4       y = -2 - 5

x = 0       y = 0 - 5

x = 4       y = 2 - 5

x = 8       y = 4 - 5

Answer:

34*44=

1. 4*4=16

2. 4*3=12

3. repeat

4. your answer is 1,496

Step-by-step explanation:

Answer:

1,496 thats the answer

Step-by-step explanation:

use calculator

Answer:

$17.72 left

Step-by-step explanation:

144 inches = 4 yards

4(0.15) + 3.5(0.48) = 0.6 + 1.68 = $2.28 SPENT

20 - 2.28 = $17.72 left in change

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

Learn more about Confidence interval here:

https://brainly.com/question/15712887

#SPJ8

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

More can be learned about least common denominator at https://brainly.com/question/19249494

#SPJ1

Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??