please help
1. find 15% of 120
2. what percent of 72 is 68.4
3. 12.5 is 8% of what number?
4. 48 is 40% of what number
5. what number is 62.5% of 195

The correct number line representation is option B.

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

Tomas weight cannot be equal to 145 pounds

closed dot on the number line represents "145 included"

Open dot on the number line represents "145 not included"

Tomas weight  must be greater than 145 pounds

On the number line, the values increase from left to right

So, the correct number line representation is option B.

To learn more about the number line from the given link

https://brainly.com/question/24644930

#SPJ1

Answer:

the answer is an increase by 28% sorry if i am incorrect

Answer:

y = 5x + 3

Step-by-step explanation:

If the slope is 5 and the y-intercept is 3, we can substitute the value of the variables into the formula.

y = mx + b

y = (5)x + 3

y = 5x + 3

I hope this helps!

The interquartile range is 8.

To find the interquartile range (IQR) for a data set, we first need to find the first and third quartiles. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set.

To find Q1 and Q3 for this data set, we need to order the values from least to greatest:

17, 19, 21, 22, 23, 23, 26, 27, 28, 28, 29, 30, 31, 32, 34

The median of the entire data set is the value that is exactly in the middle, which in this case is 26. The median of the lower half of the data set (Q1) is the value that is exactly in the middle of that half, which is the average of 21 and 23, or 22. The median of the upper half of the data set (Q3) is the value that is exactly in the middle of that half, which is the average of 30 and 31, or 30.5.

To find the interquartile range, we subtract Q1 from Q3:

IQR = Q3 - Q1 = 30.5 - 22 = 8.5

Therefore, the answer is (c) 8.

Learn more about interquartile range

brainly.com/question/29204101

#SPJ11

Answer:

the plant grew \(5\frac{3}{8}\) inches

Step-by-step explanation:

to add these fractions, we need to convert 3/4 in order to have a common denominator

\(\frac{3}{4} = \frac{6}{8}\)

\(8\frac{1}{8} - 2\frac{6}{8} = 5\frac{3}{8}\)

the plant grew \(5\frac{3}{8}\) inches

The most sensible average to use in this case would be the mode, which is the value that appears most frequently in the data set. In this case, the mode is 2, which appears 9 times in the data set. This means that the most common number of children in a family in the class is 2.

In this case, the most sensible average to use would be the mode, which is the number that appears most frequently in the data set. This is because the mode represents the most common number of children in the families of the children in the class, which is likely to be a more accurate representation of the typical family size in the class than the mean or median.

To find the mode, we first need to count how many times each number appears in the data set. In this case, the numbers 1, 2, 3, and 4 appear in the data set as follows:

1: 7 times

2: 11 times

3: 3 times

4: 1 time

We can see that the number 2 appears most frequently, with a count of 11. Therefore, the mode in this case is 2, and this is the most sensible average to use in this situation.

Solution:

Note that:

Simplify the equation to find x.

The value of x is 6.

240%

Step-by-step explanation:

if there is 240 grams  then you just put a percent sing but are you asking What is the percentage of sugar in each cup? by spoons?

Answer:

c d

Step-by-step explanation:

Answer:

I put the answers in the picture below!

Step-by-step explanation:

The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.

The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.

This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.

It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

To know more about Greek symbols visit:

brainly.com/question/7269995

#SPJ1

The expression that represents the height of the prism is 2850/b where b is the base area

The given parameter is:

Volume = 2850

Let the height of the prism be h, and the base area be b.

The volume is calculated using:

V = bh

Make h the subject

h = V/b

Substitute V = 2850

h = 2850/b

Hence, the expression that represents the height of the prism is 2850/b

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

You would like to buy 2 cupcakes out of the total of 20 cupcakes. This proportion represents your share based on the 10% you desire.

If you and your friends are collectively buying 20 cupcakes, and you would like to buy 10% of the total, it means you want to purchase a portion that corresponds to 10% of the whole.

To calculate this, you can multiply the total number of cupcakes (20) by 10% (or 0.10), which represents the fraction or decimal form of 10%.

10% of 20 can be computed as follows:

10% of 20 = 0.10 * 20 = 2

Therefore, you would like to buy 2 cupcakes out of the total of 20 cupcakes. This proportion represents your share based on the 10% you desire.

By purchasing 2 cupcakes, you ensure that you have obtained your desired portion while leaving the remaining 18 cupcakes for your friends to distribute among themselves. This way, everyone gets a fair share, and you are able to satisfy your preference for 10% of the total quantity.

To know more about proportion:

https://brainly.com/question/33460130

#SPJ4

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

yes

Step-by-step explanation:

yes

Answer:

integers

Step-by-step explanation:

May i have brainiest

Hi! I believe your answer is the first choice: integers. Integers are like whole numbers, but they also include negative numbers, but still no fractions allowed. I hope this helps you! Good luck and have a great day. ✨❤️

\( \underline{\bf \huge \: \: Question:}\)

\( \sf \: −5/3a+1/8-1/6a-1/2\)

We need to simplify the expression.

\(\underline{ \bf \: \bf \Huge Solution:}\)

\( \sf \longmapsto \dfrac{ - 5}{3} a + \dfrac{1}{8} + \dfrac{ - 1}{6} a + \dfrac{ - 1}{2} \)

\(\sf \longmapsto \dfrac{ - 5}{3} a + \dfrac{1}{8} + \dfrac{ - 1}{6} a + \dfrac{ - 1}{2} \)

\( \underline{\bf \: C ombining\: Like \: terms:}\)

\(\sf \longmapsto \: \bigg(\dfrac{ - 5}{3} a + \dfrac{ - 1}{6} a \bigg) + \bigg( \dfrac{1}{8} + \dfrac{ - 1}{2} \bigg)\)

\( \bf \: On \: Simplification:\)

\(\sf \longmapsto \bigg(\dfrac{ - 10}{6}a + \dfrac{ - 1}{6} a\bigg)+\bigg( \dfrac{1}{8} + \dfrac{ - 1}{2}\bigg) \)

\(\sf \longmapsto \: \bigg(\dfrac{ - 10 - 1}{6} a \bigg) + \bigg( \dfrac{1}{8} + \dfrac{ -4 }{8} \bigg)\)

\(\sf \longmapsto \: \bigg(\dfrac{ - 11}{6}a \bigg)+ \bigg(\dfrac{1(-4)}{8}\bigg)\)

\(\sf \longmapsto \: \dfrac{ - 11}{6} a + \dfrac{ - 3}{8} \)

______________________________________

\( \underline{\bf \: Henceforth,The\: simplified \: form \: is:} \)

\( \boxed{\boxed{\huge \dfrac{ - 11}{6} a + \dfrac{ - 3}{8} }}\)

Answer:

-11a-9/4/6

Step-by-step explanation:

Hope this helps!

Brainliest pls

Have a great day!

Yes, the researcher use the rows or the columns of the field as blocks.

When conducting research, it is important to think about which structure to use as the basis for your work.

In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.

Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.

However, it can be challenging to discover similarities between data points within the same row.

Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.

Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.

To know more about matrix here.

https://brainly.com/question/28180105

#SPJ4

The true population mean is (222.52, 227.48) with a 95% confidence interval.

The critical factor for a 90% confidence interval for the true population mean is given by;

Critical factor = (x-μ)/(s/√n)

where, x = sample mean repair cost

s =  standard deviation of a sample

n = sample of stereos

μ  = critical value

⇒ P(-1.96< (x-μ)/(s/√n) < 1.96) = 0.95

⇒ P(-1.96×(s/√n) < (x-μ) < 1.96×(s/√n)) = 0.95

⇒ P(x - 1.96×(s/√n) < μ < x + 1.96×(s/√n)) = 0.95

95% confidence interval for

⇒ μ = (x - 1.96×(s/√n) , x + 1.96×(s/√n))

Here, x = 225, s  = 8.5, and n = 45

⇒ μ = (225- 1.96×(10.81/√13) , 225+ 1.96×(10.81/√13))

⇒ μ = (222.52, 227.48)

Hence, the true population mean is (222.52, 227.48) with a 95% confidence interval.

Learn more about the critical value here:

brainly.com/question/15417413

#SPJ4

The question seems to be incomplete the correct question would be

Calculate the 95% confidence interval for the true population mean based on a sample with x=225, s=8.5, and n=45.

Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.

Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.

How do equations work?

A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.

Equation symbols (=) are used to represent equations.

A finance charge is what?

The interest and other fees levied on credit cards are included in a finance charge.

Typically, the finance charge is based on a stated APR (annual percentage rate).

The month's billing cycle lasts for 28 days.

Balance at current starting = x.

APR = 24%, or annual percentage rate.

The monthly percentage rate (MPR) equals 2% (24% divided by 12).

The final day's purchase cost $1,400.

$51 is the total finance fee for the month.

($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.

$50 ($51 - $1) serves as the initial balance's finance charge.

The starting balance at this time is x = $2,500 ($50 x 2%).

Current Beginning Balance Equation: x = 51 - 1 0.02

($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.

Finance charge savings from buying on the last day equals $27 ($28 - $1).

By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.

Learn more about credit cards and finance charges at brainly.com/question/22717601

#SPJ4

Answer:

Hong 12 bill 7

Step-by-step explanation:

answer is in photo above

Answer:

Step-by-step explanation:

This is an geometric series.

Common ratio = second number÷ first number

                       \(= \dfrac{4096}{-1024} = -4\)

To get the next number, 256 should be divide by (-4)

\(\dfrac{256}{(-4)}= -64 \\\\\\\dfrac{-64}{-4}=16\\\\\\\dfrac{16}{-4}=-4\)

The three numbers are : -64 , 16 , -4

The number of vegetable plates can be made = 120

We know that a combination is nothing but a way of selecting items from a collection. In combination the order of selection does not matter.

We know that a formula for a combination is,

^nC_r = n! / r!(n - r)!

where,  ^nC_r = number of combinations

n = total number of items in the collection

r = number of choosing items from the collection

and n! = n × (n - 1) × (n - 2) × . . . × 1

Here, we have n = 10 and r = 3

Using combination formula,  the total number of plates made:

^10_C_3

= 10! / (3! × (10 - 3)!)

= 10! / (3! × 7!)

= (10 × 9 × 8 × 7!) /( 3! ×7!)

= (10 × 9 × 8) / (3 × 2 × 1)

= (90 × 8) / 6

= 720/6

= 120

Therefore, 120 vegetable plates maybe made

Learn more about combination here:

https://brainly.com/question/28720645

#SPJ4

Answer:

The area of the garden is \(2356\ ft^2\)

Step-by-step explanation:

Area of a Square

Given a square of a side length of x, the area is calculated as:

\(A = x^2\)

There is a square garden area of a side length of x=50 feet. The area is:

\(A_1=50^2=2500\ ft^2\)

Inside of it, there is another square area for a fountain display of a side length of 12 feet. The area is:

\(A_2=12^2=144\ ft^2\)

The area of the garden is the difference between A2 and A1:

\(A_g=A_2-A_1=2500\ ft^2-144\ ft^2\)

\(A_g=2356\ ft^2\)

To determine how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis, we need to first establish a hypothesis test. A hypothesis test is a statistical procedure that helps us determine if there is enough evidence to support a particular hypothesis.

In a hypothesis test, we start with a null hypothesis (H0) which is a statement that there is no significant difference between two groups or variables. The alternative hypothesis (Ha) is the statement that there is a significant difference between the two groups or variables.

Once we have established our null and alternative hypotheses, we need to conduct a statistical test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. The test statistic is the numerical value that we obtain from our statistical test, which we compare to a critical value to determine if we can reject the null hypothesis.

The critical value is determined by the level of significance (α) we have chosen for our test, which is the probability of making a type I error (rejecting the null hypothesis when it is actually true). Typically, the level of significance is set at 0.05 or 0.01.

So, to answer the question, how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis depends on the level of significance we have chosen, as well as the degrees of freedom and distribution of the test statistic. The critical value for a given level of significance and degrees of freedom can be found in statistical tables or calculated using software. If the test statistic is larger than the critical value, we can reject the null hypothesis in favor of the alternative hypothesis.

Learn more about test statistic here:

brainly.com/question/30398134

#SPJ11

To find the angle between two vectors A and B, you can use the dot product formula:

1) Angle between two vectors:

The dot product of two vectors A and B is given by the formula A · B = |A| |B| cosθ, where θ is the angle between the vectors.

Let's calculate the dot product of A and B:

A · B = (2)(4) + (2)(-6) + (-1)(4) = 8 - 12 - 4 = -8

Next, calculate the magnitudes of vectors A and B:

|A| = √(2² + 2² + (-1)²) = √(4 + 4 + 1) = √9 = 3

|B| = √(4² + (-6)² + 4²) = √(16 + 36 + 16) = √68 ≈ 8.246

Now, substitute the values into the dot product formula to find the cosine of the angle:

-8 = (3)(8.246) cosθ

cosθ = -8 / (3)(8.246)

cosθ ≈ -0.322

To find the angle θ, take the inverse cosine (arccos) of the value:

θ ≈ arccos(-0.322)

θ ≈ 109.88 degrees

So, the angle between vectors A and B is approximately 109.88 degrees.

2) Projection of vector A onto vector B:

The projection of vector A onto vector B is given by the formula:

projB(A) = (A · B / |B|²) * B

First, calculate the dot product of A and B:

A · B = (2)(4) + (2)(-6) + (-1)(4) = 8 - 12 - 4 = -8

Next, calculate the magnitude of vector B:

|B| = √(4² + (-6)² + 4²) = √(16 + 36 + 16) = √68 ≈ 8.246

Now, substitute the values into the projection formula to find the projection of A onto B:

projB(A) = (-8 / (8.246)²) * B

projB(A) ≈ -0.12 * (4i - 6j + 4k)

projB(A) ≈ -0.48i + 0.72j - 0.48k

So, the projection of vector A onto vector B is approximately -0.48i + 0.72j - 0.48k.

Learn more about dot product here:

https://brainly.com/question/29097076

#SPJ11