75 is % of 300 what is the answer

Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.

First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.

That is, the percentage indicates what part of a total represents a quantity.

To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.

In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.

Then:

So, the percentage is calculated as:

percentage= (102.9÷490) ×100

percentage= 0.21×100

percentage= 21%

The correct option is: 21 percent of her net pay is left for savings.

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Answer: 11.25 secs

Step-by-step explanation:

So in this sense the rockets origin or the ground is modeled at h=0 so the time required if used on a table shows that h=0 between the values of 11 and 12. So if you plug and chug decimal values between these two values you get exactly 0 at t=11.25 so it takes approximately 11.25 seconds for the rocket to return to the ground

The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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The surface area of the composite solid is 400 inch square.

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which is not standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

\(\text{Area of composite figure} = \sum (\text{Area of composing figures})\)

That ∑ sign shows "sum"

We are given that;

The dimensions of figures

Total Surface Area = Area of front + Area of top + Area of Back + 2 × Area of side + Area of bottom

Area of Front = Area of Square + Area of rectangle

= 10 × 10

= 100 in.²

Area of top = Area of Rectangle

= 13 × 10

= 30 in.²

Area of back =  Area of square in down + Area of rectangle in up

= 10 × 10 + 5 × 10

= 100 + 50

= 50 in.²

Area of the bottom = Area of the rectangle

=12 × 10

= 120 in.²

Area of the side = Area of rectangle + Area of the triangle

= 12 × 10 + 1/2 × 5 × 12

= 150 in.²

Total Surface Area = 100 + 30 +50 + 120 + 2 × 150

= 200 + 300

= 600 in.²

Therefore, by the area the answer will be 400 inch square.

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Answer:

false

Step-by-step explanation:

Answer:

The answer is 100 degrees.

Step-by-step explanation:

Step 1. Set up the equation 20x+25x=180
Step 2. Simplify to get 45x=180
Step 3. Divide 180 by 45 to get 4.
Step 4. Do 25x4 to get an answer of 100.
I hope this helps! :)

Using a standard normal distribution table or a z-table gives us

P(¯Z≤0.8181)≈0.20662

Let us write down some of the parameters and statistics that are given in the question.

Population mean thickness

μ=4mm.

Population standard deviation

σ=1.1mm.

Random sample size

n=100.

Let the random normal variable

¯X denote the average thickness of the sample.

Then according to the Central Limit Theorem,

¯X

follows a normal distribution with mean

μ¯X=μ=4

and standard deviation

σ¯X=σ√n=1.1√100=1.110=0.11.

Then we can convert ¯X

into its standard normal form ¯Z

using the following transformation:

¯Z=¯X−μ¯Xσ¯X=¯X−40.11(1)

Now the question reads that we need the probability that the average thickness of the 100 sheets is less than 3.91 mm. In other words, we need

P(¯X<3.91).

Using (2) we get

P(¯X<3.91)=P(¯Z<3.91−40.11)=P(¯Z≤0.8181)(3)

Using a standard normal distribution table or a z-table gives us

P(¯Z≤0.8181)≈0.20662

which is our answer.

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Using a standard normal distribution table or a z-table gives us

P(¯Z≤0.8181)≈0.20662

Let us write down some of the parameters and statistics that are given in the question.

Population mean thickness

μ=4mm.

Population standard deviation

σ=1.1mm.

Random sample size

n=100.

Let the random normal variable

¯X denotes the average thickness of the sample.

Then according to the Central Limit Theorem,

¯X

follows a normal distribution with mean

μ¯X=μ=4

and standard deviation

σ¯X=σ√n=1.1√100=1.110=0.11.

Then we can convert ¯X

into its standard normal form ¯Z

using the following transformation:

¯Z=¯X−μ¯Xσ¯X=¯X−40.11(1)

Now the question reads that we need the probability that the average thickness of the 100 sheets is less than 3.91 mm. In other words, we need

P(¯X<3.91).

Using (2) we get

P(¯X<3.91)=P(¯Z<3.91−40.11)=P(¯Z≤0.8181)(3)

Using a standard normal distribution table or a z-table gives us

P(¯Z≤0.8181)≈0.20662

which is our answer.

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Answer:

Step-by-step explanation:

To convert 20 cm to meters, we divide by 100, because 1 meter = 100 centimeters.

So, 20 cm = 20/100 m = 0.2 m

To convert 0.2 m to meters in the lowest form, we divide by 15, because 1 meter = 15 units.

So, 0.2 m = 0.2/15 m = 0.013 m

So the final answer is 0.013 m.

Answer:

\(4 \: \: ft\)

Step-by-step explanation:

\(64 = x \times x \times x \\ {x}^{3} = 64 \\ x = 4\)

to check whether the answer correct or wrong

\(x \times x \times x \\ 4 \times 4 \times 4 \\ 16 \times 4 \\ = 64\)

Answer:

Step-by-step explanation:

An exponential function has a standard form

\(y=a(b)^x\) where a is the initial value, b is the rate of growth or decay, and x and y are found in coordinates from the table. We need to solve for b, the rate of change (growth or decay). We will use the first 2 coordinates in the table, namely (1, 6) and (2, 4) to solve for b. We will use a system of equations...2 equations for 2 unknowns. The first equation is found by plugging in a 6 for y and a 1 for x to get:

\(6=a(b)^1\) and, solved for a:

\(a=\frac{6}{b}\).

In the second equation, we will plug in a 4 for y, a 2 for x and the value for a we just found:

\(4=\frac{6}{b}(b)^2\) and, simplified a bit:

\(4=\frac{6b^2}{b}\) which finally simplifies to

4 = 6b and

\(b=\frac{2}{3}\). That's the rate of change we are asked to find. We could continue to find the whole equation. Plug in 2/3 for b to solve for a:

\(a=\frac{6}{\frac{2}{3} }\) and

\(a=\frac{6}{1}*\frac{3}{2}=\frac{18}{2}=9\) and the exponential equation is

\(y=9(\frac{2}{3})^x\) that means that we started with 9 of something and it is dying/decaying/depreciating at a rate of 33%

This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.

We have a pond which is completely filled with the water.

Area of the side face ( trapezium shaped)

= 1/2 x (1.4 + 0.6) x 2

= 2 m²

Volume = area x height (here width)

V = 2x1 = 2 m³

The level goes down by 20cm in the first 30 mins

Volume of water that will be taken down =

=0.2 x 1 x 2

=0.4 m³ ( upper water will form cuboid face)

Now,

⇒0.4 m³ water is taken out in 30 minutes

⇒1 m³ water is taken out in 30/0.4 minutes

⇒2 m³ water is taken out in 30/0.4 x 2 minutes

⇒30x2/0.4

⇒150 minutes.

So the pond will be completely empty in 150 min that is 2hrs30mins.

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So, approximately 2.28% of the observations are less than 140.

To find the percentage of observations that are less than 140, we need to find the standard score (z-score) that corresponds to 140, and then use a standard normal table to find the proportion of data that is less than that z-score.

The standard score is calculated as follows:

z = (140 - 130) / 5 = 2

Using a standard normal table, we can find the proportion of data that is less than 2 standard deviations from the mean. This proportion is approximately 0.0228 or 2.28%.

Mean is nothing but the average of data.

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Yes (-3,-2) is true.

No (1,6) is false

No (0,4)  is false

To determine if an ordered pair is a point of intersection between the line and the parabola, we need to check if the coordinates satisfy both equations.

(-3, -2)

y = 2x + 4 => -2

= 2(-3) + 4 => -2 = -2 (True)

y = x² + 4x + 1 => -2

= (-3)² + 4(-3) + 1 => -2 = -2 (True)

Answer: Yes

(1, 6)

y = 2x + 4 => 6

= 2(1) + 4 => 6 = 6 (True)

y = x² + 4x + 1 => 6

= (1)² + 4(1) + 1 => 6 ≠ 6 (False)

Answer: No

(0, 4)

y = 2x + 4 => 4

= 2(0) + 4 => 4 = 4 (True)

y = x² + 4x + 1 => 4

= (0)² + 4(0) + 1 => 4 ≠ 1 (False)

Answer: No

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Two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

Given measure: 3, 5, 4, 6, 10, 5, 6, 9, 2, 13.(D) To calculate \(x_2\), first we need to sort the data in ascending order: 2, 3, 4, 5, 5, 6, 6, 9, 10, 13

Now, we need to find the median, which is the middle value of the data. Since the data has even number of values, we will calculate the mean of middle two values, that is:(5+6)/2 = 5.5 Therefore, \(x_2 = 5.5\).\( \frac{2}{x}= \) To find the value of x, we will first cross-multiply and then take the reciprocal of both sides:\[\frac{2}{x} = y \Rightarrow 2 = xy \Rightarrow x = \frac{2}{y}\] Therefore, \( \frac{2}{x}= \frac{2}{y}\).

(b) To calculate Fried m, we will use the formula: \[f_m = L + \frac{(n/2 - F)}{f} \times c\]where L is the lower limit of the modal class, F is the cumulative frequency of the class preceding the modal class, f is the frequency of the modal class, c is the class interval, and n is the total number of values.

First, we will calculate the class interval:c = (upper limit of class - lower limit of class) = (7-6) = 1 Next, we will construct a frequency table to find the modal class:| Class Interval | Frequency ||-------------------|------------|| 2-3 | 1 || 3-4 | 1 || 4-5 | 1 || 5-6 | 2 || 6-7 | 2 || 7-8 | 1 || 9-10 | 1 || 10-11 | 1 || 13-14 | 1 |The modal class is the class with highest frequency.

Here, two classes have frequency 2, so both are modes. They are 5-6 and 6-7.

Therefore, L = 5, F = 2, f = 2, n = 10, and c = 1. Substituting the values, we get:\[f_m = L + \frac{(n/2 - F)}{f} \times c = 5 + \frac{(10/2 - 2)}{2} \times 1 = 7\] Therefore, Fried m = 7.

(c) To find the mode, we look for the value(s) with highest frequency. Here, two values have frequency 2, so both are modes. They are 5 and 6. Therefore, the mode is 5 and 6.

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Answer:

40% profit

Step-by-step explanation:

There is a profit of $50.

If you were to find the percentage, you would divide 50 by 125. This would give you 0.4

Based on the plot provided, the function that best describes it is:

B. y = 2 cos(0.5x - 1) + 1

The plot shows a periodic function with an amplitude of 2, oscillating around the value of 1. The function that matches this description is option B.

The plot shows a periodic function with a sine-like shape. The amplitude of the function is approximately 0.5, and it oscillates around the value of 1. This matches the form of the function in option A, where the coefficient of sine is 0.5, the coefficient of x is 2, and the constant term is -1. Therefore, option A, y = 0.5 sin(2x - 1) + 1, best describes the given plot.

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Answer:

1) YTW

2) WT, TZ

3) UTZ

4) Right angle

  Acute angle

  Obtuse angle

  Right angle

5) TU

If the semi-annual rate is 0.5%, then the Annual Percentage Rate is 0.0001%.

To find the Annual Percentage Rate (APR), we need to double the semiannual rate since there are two semiannual periods in a year.

So, the APR would be 1% (0.5% * 2).

2. To find the Effective Annual Rate (EAR), we can use the formula:

\(EAR = (1 + r/n)^n - 1\)

where r is the nominal interest rate and n is the number of compounding periods per year.

In this case, the nominal interest rate (r) is 0.5% and the compounding periods per year (n) is 2 (since it's a semiannual rate).

Plugging in these values into the formula:

EAR = (1 + 0.005/2)^2 - 1

EAR = (1.0025)^2 - 1

EAR = 1.005025 - 1

EAR = 0.005025

Therefore, the EAR (rounded to 6 decimal points) is 0.005025.

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Perform a goodness-of-fit test to determine if the observed number of Wi-Fi slowdowns per day over 100 days fits a Poisson distribution with mean 3.7.

Test with α = 0.05 to determine whether the observed data fits the Poisson distribution with the given probabilities.

Compute the expected frequencies for each category and then find the chi-square statistic. Using a chi-square distribution with 2 degrees of freedom, find the p-value and compare it to the level of significance to make a decision.

In this problem, we are given a Poisson distribution as a model for the number of Wi-Fi slowdowns per day with a mean of 3.7. We are also given the probabilities for different categories of slowdowns: 0-2, 4-6, and 7 or more. We then record the number of slowdowns for the next 100 days and obtain observed counts for each category. We want to test if the observed data fits the Poisson distribution with the given probabilities.

To test this, we first compute the expected frequencies for each category using the Poisson distribution with a mean of 3.7. We then find the chi-square statistic using the formula Σ(observed - expected)² / expected. We compare this to a chi-square distribution with 2 degrees of freedom, since there are 3 categories and we lose 1 degree of freedom for estimating the mean.

Using a chi-square distribution table or calculator, we find the p-value associated with the chi-square statistic. If the p-value is less than the level of significance, which is 0.05 in this case, we reject the null hypothesis and conclude that the observed data does not fit the Poisson distribution with the given probabilities. If the p-value is greater than the level of significance, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the observed data does not fit the Poisson distribution with the given probabilities.

Therefore, we can use the chi-square goodness-of-fit test to test whether the observed data fits the Poisson distribution with the given probabilities.

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Step-by-step explanation:

there are 2021 terms

yep

the above image says that the number of terms is always n+1 when it involves(a+b)^n

Answer:

below

Step-by-step explanation:

when y =0       when x=0

0 = x+1              y= 0 +1

x= -1                  y = 1

when y = 0

0 = 4x-2             when x = 0

1/2 = x                y = 4(0)-2

                           y = -2

Answer:

I've uploaded instructions and the completed graphs.

Hope this helps :)

Answer:

3/5

Step-by-step explanation:

(I'm just doing this for the badge)

Answer:

221

Step-by-step explanation:

8848 / 40 = 221.2 round down and get 221

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

89.14 in.³

Step-by-step explanation:

A semi-cylinder is half of a cylinder. A cube has equal sides. So if it is placed on top a cube, the following dimensions can be deduced:

The length of one side of the cube (s) = the diameter (d) of the semi-cylinder and also the height (h) of the semi-cylinder

Length of one side of the cube = 4 in.

Therefore,

Diameter of semi-cylinder = 4 in.

radius (r) = ½(4) = 2 in.

Height (h) of semi-cylinder = 4 in.

Let's find the volume of the composite solid

Volume of the composite solid = volume of semi-cylinder + volume of cube

= ½(π*r²*h) + (s³)

Volume of composite solid = ½(π*2²*4) + (4³)

= ½(50.27) + 64

= 89.135

≈ 89.14 in.³ (nearest hundredth)

a visual representation of the synthetic division process with a step-by-step guide on how to do synthetic division.

Step 1: Write down the coefficients of the polynomial, including any missing terms with a coefficient of 0.
In this case, the polynomial is:
2x^3 + x^2 + 2x - 5x - 6
The coefficients are: 2, 1, 2, -5, -6
Step 2: Write the divisor outside the division symbol.
In this case, the divisor is x - 2.
Step 3: Draw a line under the coefficients.
2  1  2  -5  -6
  _________
Step 4: Bring down the first coefficient.
2  1  2  -5  -6
  _________
     2
Step 5: Multiply the divisor by the first term.
2  1  2  -5  -6
  _________
     2
  -2
  ---
     -2
Step 6: Add the result to the second coefficient.
2  1  2  -5  -6
  _________
     2
  -2
  ---
     -1
Step 7: Multiply the divisor by the new second term.
2  1  2  -5  -6
  _________
     2
  -2
  ---
     -1
   2
  ---
      1
Step 8: Add the result to the third coefficient.
2  1  2  -5  -6
  _________
     2
  -2
  ---
     -1
   2
  ---
      1
   2
  ---
      3
Step 9: Multiply the divisor by the new third term.
2  1  2  -5  -6
  _________
     2
  -2
  ---
     -1
   2
  ---
      1
   2
  ---
      3
  -6
  ---
     -3
Step 10: Add the result to the fourth coefficient.
2  1  2  -5  -6
  _________
     2
  -2
  ---
     -1
   2
  ---
      1
   2
  ---
      3
  -6
  ---
     -3
  -6
  ---
     -9
Step 11: The final row of numbers represents the coefficients of the quotient. In this case, the quotient is:
2x^2 - x + 3
And the remainder is -9.
To perform synthetic division with the given polynomial, follow these steps:
1. Write down the coefficients of the polynomial: 2, 1, 2, -5, -6.
2. Identify the divisor. In this case, it is not provided. Assuming the divisor is x - a, please provide the value of 'a' to proceed with the synthetic division.

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Equations, their parts and how to solve them is discussed above.

Given is an equation that models the amount of profit the movie (Mission Impossible III) earned (in millions of dollars) at the Box Office each week.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign.

The steps to solve a basic equation with one variable (linear) are given below:

        with the same exponent) by adding/subtracting them.

Therefore, equations, their parts and how to solve them is discussed above.

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Answer:

x+5=12

x+7=15

x+ 1/2=1

x+1/3=1

4(x+1)= 8

1.5+x=3

Olivia is 5 years older than Nicole. The sum of their ages is 35. How old is each girl?

Step-by-step explanation:

how this helps!

The Submarine is 7.74 Km away from its base .

In the question ,

it is given that ,

the distance travelled by Submarine from base in East direction = 4.2 Km let the distance from base to east direction be denoted by AB ,that means AB = 4.2 Km

the distance travelled by Submarine from East to North direction = 6.5 Km let the distance from east to north direction be denoted by BC . that means BC = 6.5 Km

the given situation form a right triangle ,

So , the distance from submarine to its base is the hypotenuse of the right triangle , that is AC .

So By Pythagoras Theorem ,

AC² = AB² + BC²

Substituting the values , we get

AC² = 4.2² + 6.5²

AC² = 17.64 + 42.25

AC² = 59.89

AC = √59.89

AC = 7.7388

AC = 7.74

Therefore , The Submarine is 7.74 Km away from its base .

The given question is incomplete , the complete question is

A Submarine travel 4. 2 km due Eat from it base and then turn and travel due North for 6. 5 km. How far away is the submarine from it base ?

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