The density of water is gram per cm cubed. An object floats in water if its density is less than water's density, and it sinks if its density is greater than water's. Will a 1.17 gram diamond in the shape of a pyramid whose base has area 2 cm squared and whose height is 0.5 centimeters sink or float?

We need to pour 250 ml of liquid from container B to container A so they can be equal in volume.

To make container A and B equal in volume, we need to pour some liquid from container B into container A. Let's call the amount of liquid that we need to pour from container B to container A as "x" ml.

After pouring x ml of liquid from container B to container A, the total volume of liquid in container A will be (750 + x) ml, and the total volume of liquid in container B will be (1250 - x) ml.

Since we want the volumes of both containers to be equal, we can set up the equation:

750 + x = 1250 - x

Solving for x:

2x = 500

x = 250

Therefore, we need to pour 250 ml of liquid from container B to container A so they can be equal in volume.

To learn more about Equation

https://brainly.com/question/29657988

#SPJ4

Answer:

\(\frac{23}{3}\) or \(7\frac{2}{3}\)

solution:

\(6\) + \(1\frac{2}{3}\)

\(\frac{6}{1}\) + \(\frac{5}{3}\)

\(\frac{6}{1}\) × \(\frac{3}{3}\) \(= \frac{18}{3}\)

\(\frac{18}{3}\) + \(\frac{5}{3}\) \(= \frac{23}{3}\)

\(\frac{23}{3}\)\(= 7\frac{2}{3}\)

7 2/3 is the simplest form of 23/3

Answer:

Sum of complementary angles is 90

90-25=65°

Step-by-step explanation:

Answer:

I think the answer is 16

Step-by-step explanation:

Answer:

v = 10

Step-by-step explanation:

2 = v - 8

add 8 to both sides

10 = v

Route 1 has the possibility of a very short amount of time to drive to work.

Route 1 results in the most consistent times.

Route 2 is more likely to take a very long time on occasion.

According to me, Joe should choose route 1.

Joe should re-evaluate his decision if his job location changes if there is road construction on the route he has chosen or if the number of vehicles on the routes changes.

Mean is the average of a set of n data x1.

Standard deviation is the most commonly used measure of the spread or dispersion of data around the mean. The standard deviation is defined as the square root of the variance (V).

To know more about mean and standard deviation visit: brainly.com/question/28108712

#SPJ4

Answer:

a

Step-by-step explanation:

Answer: v = 793.77 mph

Step-by-step explanation: Linear speed of a circular movement is calculated by using the formula:

v = ω.r

where

ω is angular velocity

r is radius of the path

Angular velocity is the rate of change of the angular position of an object with respect of time, i.e., is how fast an object changes its angular position with time:

\(\omega = \frac{d \theta}{dt}\)

\(\omega = \frac{2\pi}{time}\)

The Earth takes 24 hours to complete a rotation, then angular velocity:

\(\omega = \frac{2\pi}{24}\)

\(\omega =\) 0.262 rad/h

At a location 40° north, radius is 3033.5 miles, so:

v = 0.262*3033.5

v = 793.77

At latitude of 40°north, linear speed is 793.77mph.

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

For more such questions on dataset , Visit:

https://brainly.com/question/27358262

#SPJ11

Answer : 6/10 or 3/5

Answer:

3/5

Step-by-step explanation:

60% = 60/100

=> 60/100 [Divide both numerator and denominator by 10]

=> 6/10      [Divide both numerator and denominator by 2]

=> 3/5

Let's denote the length of one side of the rectangle as L and the width as W. Given that the area of the rectangle is 36 m², we have the equation:

Area = Length × Width

36 = L × W

To express the perimeter of the rectangle as a function of the length (L), we need to find the relationship between the length and the width.

Solving the equation for W, we get:

W = 36 / L

The perimeter (P) of the rectangle is given by the formula:

P = 2L + 2W

Substituting the value of W, we have:

P(L) = 2L + 2(36 / L)

Simplifying further:

P(L) = 2L + 72 / L

Therefore, the perimeter of the rectangle, expressed as a function of the length (L) of one of its sides, is given by P(L) = 2L + 72 / L.

Learn more about perimeter here:

https://brainly.com/question/7486523

#SPJ11

The rate of inflation between years 4 and 5 is is option (C) 8.33%

The Gross Domestic Product (GDP) deflator is a measure of inflation that reflects the average price level of all goods and services produced in an economy. It is calculated by dividing the nominal GDP (the total value of goods and services produced in an economy at current market prices) by the real GDP (the total value of goods and services produced in an economy at constant prices).

In this question, we are given that the GDP deflator in year 4 is 120 and the GDP deflator in year 5 is 130. This means that the average price level of goods and services in the economy has increased from year 4 to year 5.

To calculate the rate of inflation between the two years, we use the formula:

Inflation rate = ((GDP deflator in year 5 - GDP deflator in year 4) / GDP deflator in year 4) × 100%

Substituting the values given in the question, we get:

Inflation rate = ((130 - 120) / 120) × 100%

Inflation rate = (10 / 120) × 100%

Inflation rate = 8.33%

Therefore, the correct option is (C) 8.33%

Learn more about inflation rate here

brainly.com/question/30112292

#SPJ4

The ANOVA produced 21 degrees of freedom within three treatment conditions with equal sample sizes. Therefore, each sample contains 8 individuals. So, the correct answer is D).

The formula for calculating degrees of freedom within a one-way ANOVA is

dfwithin = (N - k)

where N is the total number of observations (across all groups) and k is the number of groups being compared.

In this case, we know that dfwithin = 21, and since there are three treatment conditions being compared, k = 3

So, we can rearrange the formula to solve for N:

N = dfwithin + k

N = 21 + 3

N = 24

Since we are told that the sample sizes are all the same, we can divide the total number of observations by the number of groups to get the size of each sample

n = N/k

n = 24/3

n = 8

Therefore, there are 8 individuals in each sample. The answer is (d) 8.

To know more about sample sizes:

https://brainly.com/question/30885988

#SPJ4

Answer:

True

Step-by-step explanation:

Any value of x makes the equation true

All Real numbers

(-∞)(∞)

that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

To know more about number, visit:

https://brainly.com/question/17429689

#SPJ11

The maximum monthly rent that Yasmine should pay is approximately $619.58.

To calculate the maximum monthly rent that Yasmine should pay, we need to determine her monthly income and then find 30% of that amount.

Yasmine's hourly  = $11.75

Hours worked per week = 35

Weekly income = Hourly wage * Hours worked per week

             = $11.75 * 35

             = $411.25

Monthly income = Weekly income * Number of weeks in a month

              = $411.25 * 4

              = $1645

Now, let's calculate 30% of her monthly income:

Rent limit = 30% of Monthly income

          = 0.30 * $1645

          = $493.50

Therefore, the maximum monthly rent that Yasmine should pay is

To determine the maximum monthly rent that Yasmine can afford, we first calculate her monthly income. Since she earns $11.75 per hour and works 35 hours per week, we multiply her hourly wage by the number of hours worked per week to find her weekly income.

Next, we multiply her weekly income by the number of weeks in a month (which we assume to be 4) to obtain her monthly income.

Finally, we calculate 30% of her monthly income by multiplying it by 0.30, which represents 30% as a decimal.

The result, rounded to two decimal places, is the maximum monthly rent that Yasmine should pay. In this case, the maximum monthly rent is $493.50.

To know more about income, refer here:

https://brainly.com/question/2386757#

#SPJ11

A test for two proportions and the null hypothesis would be the best test statistic to assess the variance in bacon consumption from 2011 to 2016.

The null hypothesis for the test is that the proportion of adults who consumed at least 3 pounds of bacon in 2011 is equivalent to the proportion of adults who consumed at least three pounds of bacon in 2016.

A potential explanation would be that the percentage of adults who ate at least 3 pounds of bacon in 2011 and 2016 differed.

Additionally, the test statistic may be likened to a chi-squared distribution with one degree of freedom; hence, it is necessary to compute the test statistic's p-value in order to establish whether the null hypothesis can be ideally rejected or not.

Read more about null hypothesis on:

brainly.com/question/29576929

#SPJ12

Answer:

They will be driving for a total of 10 hours or 8 more hours than they've already traveled.

Answer:

25 meters .

Step-by-step explanation:

The actual width of the rectangle is 24.5 meters.

The area of rectangle equals the base(width) times the height.

A = w × h

Given

Area of rectangle = 500 square meters.

Length of rectangle = 4x - 3 meters

Width of rectangle = 2x + 6 meters

Area of rectangle = length × width

500 = (4x - 3) (2x + 6)

⇒ 500 = \(8x^{2}+24x-6x-18\)

⇒ 500 = \(8x^{2}+18x-18\)

⇒ 500 = \(2(4x^{2}+9x-9)\)

⇒ \(\frac{500}{2}=4x^{2}+9x-9\)

⇒ \(250=4x^{2}+9x-9\)

⇒ \(4x^{2}+9x-9-250=0\)

⇒ \(4x^{2}+9x-259=0\)

⇒ 4x(x + 7) -37(x + 7) = 0

⇒ (x + 7) (4x - 37) = 0

⇒ x = -7, x = \(\frac{37}{4}\)

-7 is not satisfied because it is a negative number.

By substituting x = \(\frac{37}{4}\) in width of rectangle

Actual width of rectangle = 2x + 6

= 2( \(\frac{37}{4}\)) + 6

= \(\frac{37}{2}\) + 6

= \(\frac{37+12}{2}\)

= \(\frac{49}{2}\)

= 24.5 meters

Hence, the actual width of the rectangle is 24.5 meters.

Learn more about area of rectangle here

https://brainly.com/question/12019874

#SPJ2

Answer: Money is the reason we exist.

Step-by-step explanation:

The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

Learn more about Correlation here

https://brainly.com/question/3417475

#SPJ4

The probability of purchasing 6 boxes is 0.1574 and the probability of purchasing at most 6 boxes is 0.7960. You expect to purchase 4 boxes without the desired prize and 6 boxes in total.

The probability of obtaining the desired prize is 0.2. You expect to purchase 4 boxes without the prize and 6 boxes in total. The probability of purchasing 6 boxes is given by the binomial probability b(x; 4, 0.2), which is 0.1574. The probability of purchasing at most 6 boxes is given by the cumulative binomial probability nb(x; 4, 0.2), which is 0.7960. The binomial probability b(x; 4, 0.2) is calculated by taking the probability of the desired event, 0.2, and multiplying it by itself four times and then multiplying that result by the number of combinations of four successes in six trials, which is 15. Similarly, the cumulative binomial probability nb(x; 4, 0.2) is calculated by adding up the probabilities of all the combinations of at most four successes in six trials. In this case, that is 0.7960.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

(x,y) = (2, -3)

Step-by-step explanation:

I used the substitution method to solve this. I substituted the given value of x into the equation x+2y=-4  We can get 8+2y+2y=-4. Y would equal -3. We plug in Y and get X as 2. The answer is (2,-3)

Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

Answer:

6/11*5/10 = 3/11

Step-by-step explanation:

first we can get 6/11 which is the probability.

then we minus both sides by 1 to get 5/10

then we times them

Answer:

Step-by-step explanation:

Let's call the number of cans Reggie collected as "x".

According to the problem, Tanner collected 360 cans, which was 40% of what Reggie collected, so:

360 = 40/100 * x

To find the value of x, we can isolate x by dividing both sides by 40/100:

x = 360 * 100/40

x = 900

So Reggie collected 900 cans.

Answer:

900 cans

Step-by-step explanation:

We know

360 cans = 40%

We have to find 1% by taking

360 divided by 40 = 9 cans

How many cans did Reggie collect?

We take

9 x 100 = 900 cans

60% of Julio's number was Bill"s number

percentage, a relative value indicating hundredth parts of any quantity.

Given,

bill and julio each thought of a whole number between 1 and 20.

Bill"s number was 15

Julio's number was 6

We need to find what percent of Julio's number was Bill"s number

Original number minus new number by original number

(15-61)/15

9/15

0.6

Now we have multiply with 100 as it is a hundredth part.

0.6×100=60

Hence, 60% of Julio's number was Bill"s number

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

The profit made by Gavin at the end of the game is $0.87 per bottle.

The profit can be calculated by taking the difference of selling price and the cost price.

Given that,

The number of bottles bought for $18.50 is 48 and sold for $1.25 each.

Then, the cost for one bottle is 18.50/48 = $0.38.

As per the question the profit made can be calculated as the difference of selling price and cost price as,

Profit = Selling price - Cost Price

         =  1.25 - 0.38

         = $0.87

Hence, the profit earned by Gavin is given as $0.87 for each bottle.

To know more about profit click on,

https://brainly.com/question/7544724

#SPJ6

Answer:

Step-by-step explanation:

Lets find the distance (the side length of the square)

D=sqrt((x2-x1)^(2)+(y2-y1)^(2))

plug in the coordinates:

D=sqrt((-5-(-5))^(2)+(12-(-3))^(2))

D=sqrt(0^(2)+15^(2))

D=sqrt(15^(2))

D=15

Area of a square is side length squared

A=s^2

A=15^2

A=225 units squared

The number \( 243_{5} \) converted to Base 3 is \( 120 \).

To convert a number from one base to another, we need to understand the place value system. In the given number \( 243_{5} \), the subscript 5 indicates that the number is in base 5.

In base 5, each digit's value is determined by multiplying the digit with the corresponding power of 5. Starting from the rightmost digit, we have \( 3 \times 5^0 = 3 \) in the units place.

Moving to the left, we have \( 4 \times 5^1 = 20 \) in the fives place, and \( 2 \times 5^2 = 50 \) in the twenty-fives place.

Now, we convert these values to base 3. In base 3, each digit can take values from 0 to 2. To do the conversion, we divide each value by 3 and write down the remainder as the corresponding digit in base 3.

Starting with the largest place value, we divide 50 by 3, which gives us a quotient of 16 and a remainder of 2. So, we write down 2 as the leftmost digit. Next, we divide 20 by 3, resulting in a quotient of 6 and a remainder of 2.

Therefore, we write down 2 as the next digit. Finally, we divide 3 by 3, which gives us a quotient of 1 and a remainder of 0. So, we write down 0 as the rightmost digit.

Combining these digits, we get the number \( 120 \) in base 3, which is the final answer.

Learn more about Rightmost digit

brainly.com/question/99231

#SPJ11