Help me with this math assignment please ASAP

The correct option for this question is c) approximately 68% of the students spent between $200 and $400.


Step 1: Identify the given information. The mean is $300, and the standard deviation is $50. The range is between $200 and $400.

Step 2: Calculate the number of standard deviations between the mean and each boundary. For $200, it's ($200 - $300) / $50 = -2 standard deviations. For $400, it's ($400 - $300) / $50 = 2 standard deviations.

Step 3: Since we don't have information about the shape of the distribution, we will use the Empirical Rule, which states that for a normal distribution, approximately 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations of the mean.

Step 4: In this case, we are looking at 2 standard deviations from the mean (between $200 and $400). According to the Empirical Rule, approximately 95% of the data falls within this range. However, since we don't know the exact shape of the distribution, we can't say for certain that 95% of the students spent between $200 and $400. However, we do know that at least 68% of the students would fall within 1 standard deviation of the mean. Thus, we can conclude that approximately 68% of the students spent between $200 and $400.

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The standard error of the mean for a simple random sample of 100 observations, with a sample mean of 80 and a standard deviation of 12, is 1.20 (option a).

The standard error of the mean measures the precision or variability of the sample mean estimate. It is calculated by dividing the standard deviation of the population by the square root of the sample size.

Given that the sample mean is 80 and the standard deviation is 12, we can calculate the standard error of the mean as follows:

Standard Error of the Mean = Standard Deviation / Square Root of Sample Size

Standard Error of the Mean = 12 / √100 = 12 / 10 = 1.20

Therefore, the standard error of the mean for this sample is 1.20. This value indicates the average amount of variability or uncertainty we can expect in the sample mean compared to the population mean. It represents the precision of the sample mean estimate and is an important measure in inferential statistics for making inferences about the population based on the sample.

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The missing value in the equation 3(y - 2) = 18 using the properties of equality is 6.

Given that 3(y - 2) = 18. To solve for y, use the properties of equality and fill the missing value as follows: 3(y - 2) = 18. The first step is to simplify the left side of the equation by multiplying 3 to the brackets.

3 * y - 3 * 2 = 183y - 6 = 18

Add 6 to both sides of the equation to isolate the term 3y on one side.

3y - 6 + 6 = 18 + 63y = 24

Finally, divide both sides of the equation by 3 to obtain the value of y.

3y/3 = 24/3y = 8

Therefore, the solution for y is 8.

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The car will travel a distance of 33.34 meter in 2 sec.

The definition of velocity is a vector estimate of the rate & direction of motion.

Some features abut the velocity are-

Now according to the question-

A car is driving at 60 kilometers per hour.

That means car is travelling 60 km in 1 hour.

Velocity of the car = 60km/hr

convert the velocity in m/s

1 km = 1000 m

1 hour = 3600 second.

velocity = (60×1000m)/3600s

velocity = 100/6  m/s

Now, the distance covered by the car in 2 seconds

Distance = velocity×time

Distance = (100/6)×2

Distance = 100/3

Distance = 33.24 (approx)

Therefore, distance covered by the car in 2 second is 33.34 meters.

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Answer:

502$

Step-by-step explanation:

4*125.50=502

Answer:

2

Step-by-step explanation:

Let the number be \(x\). Writing an equation in terms of the number, \(x\), gives

\(5x=13x-16\).

Adding \(16\) to both sides gives

\(5x+16=13x\).

Then, subtracting \(5x\) from both sides gives

\(8x=16\),

and dividing by 8 on both sides simplifies to

\(x=2\).

Mixture is kept undisturbed for some time. After some time, sand being heavier and insoluble in water, settles down at the bottom of container.

Sand and water are separated in this situation using filtering. The filter funnel, which is lined with filter paper, is filled with the sand and water mixture.

The paper allows the water to escape and accumulate in the beaker. Sand particles build up in the filter funnel because they can't pass through the filter paper. One of humankind's first methods of water treatment, distillation desalination is still a widely used treatment method today.

Many ancient civilizations employed this method to turn seawater into drinkable water aboard their ships. The differing densities of salt and sand are the basis for another physical separation technique. Sand has a density of 2.65 g/cm3, but salt has a density of 2.16 g/cm3. 

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The point difference between Huskies and Bobcats are 3 x + 4.

Given data :

Difference = Huskies - Bobcats

Hence,

( 5x - 3 ) - ( 2x - 7 )

= 5x - 3 - 2x + 7

= 3x + 4

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Answer:

She needs 3 cups of white paint

Step-by-step explanation:

She has 1:4 ratio with the white and blue paint.

1/4:1

3/4:3

Answer:

32

Step-by-step explanation:

Green : black

3             4

We have 24 green

3+8=24

so  multiply each side by 8

Green : black

3*8         4*8

24            32

There are 32 black grapes

Answer:

32

Step-by-step explanation:

By Question :-

Let :-

Therefore,

The statement that truly represent the diagram is

y = w and Δ ABC ~ Δ CDE

The two triangles depicted are similar triangles and similar triangle is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Examining the figure shows that pair of congruent angles are

angle  y = angle  w (alternate angles)

angle D = angle B (right triangle)

angle x = angle z (alternate angles)

similar triangles is represented by ~ and only the first option match the description

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The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2400000

You can think of this as 6 x 4 = 24 then because there are 5 zeros in the equation you just have to add 5 zeros to the end!

I hope this helped!

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Answer:

D) Neither the table nor the graph shows a proportional relationship

Step-by-step explanation:

We know the equation of the line:-

\(y-y_{1} =m(x-x_{1}) ~ m=slope\)

\(m=\frac{y_{2}-y_{1} }{x_{2-} x_{1} }\)

\((x_{1}y_{1})=(-1 ,-9)\)

\((x_{2},y_{2} )=(1,-3)\)

\(\frac{m=(-3)-(-9)}{1-(-1)} =\frac{-3+9}{1+1} =\frac{6}{2} =3\)

\(m=3\)

\(y-(-9)=3(x-1)\)

\(y+9=3(x+1)\)

\(y+9=3x+3\)

\(y=3x-6 ~ or ~ y=3(x-2)\)

so, your answer is D

»»————-　♔　————-««

hope it helps..

have a great day!

At the moment when the radius is 12 inches, the balloon is inflating at a rate of 20 cubic inches per second.

To determine the rate at which the radius is changing, we can use the formula for the volume of a sphere, which is given by \(V = \left(\frac{4}{3}\right)\pi r^3\), where V is the volume and r is the radius.

Taking the derivative of both sides with respect to time t, we get \(\frac{dV}{dt} = 4\pi r^2\left(\frac{dr}{dt}\right)\), where \(\frac{dV}{dt}\) represents the rate of change of volume with respect to time and \(\frac{dr}{dt}\) represents the rate of change of radius with respect to time.

Given that \(\frac{dV}{dt} = 20\) cubic inches per second, we can substitute this value into the equation and solve for \(\frac{dr}{dt}\) when r = 12 inches:

\(20 = 4\pi (12)^2 \left(\frac{dr}{dt}\right)\)

Simplifying the equation:

\(20 = 576\pi \left(\frac{dr}{dt}\right)\)

Dividing both sides by 576π:

\(\left(\frac{dr}{dt}\right) = \frac{20}{576\pi}\)

Therefore, the rate at which the radius is changing when the radius is 12 inches is approximately \(\frac{20}{576\pi}\) inches per second.

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Out of the sixteen 2 by 2 matrices with entries of 1s and 0s, there are six invertible matrices.

A 2 by 2 matrix with entries of 1s and 0s can be written as:

| a b |

| c d |

For a matrix to be invertible, its determinant must be non-zero. The determinant of a 2 by 2 matrix is given by ad - bc. In this case, since the entries are either 1 or 0, the determinant can only take values of 0 or 1.

To find the number of invertible matrices, we need to count the number of matrices with a non-zero determinant. There are four possible values for the determinant: 0, 1, -1, and 2. However, since the entries are restricted to 1s and 0s, the only possible determinants are 0 and 1.

If the determinant is 0, then the matrix is not invertible. There are only two possible matrices with a determinant of 0: the zero matrix and a matrix with all entries being 1. These two matrices are not invertible.

If the determinant is 1, then the matrix is invertible. There are four possible matrices with a determinant of 1:

| 1 0 |   | 1 1 |

| 0 1 |   | 1 0 |

| 1 1 |   | 1 0 |

| 0 0 |   | 1 1 |

Therefore, out of the sixteen possible 2 by 2 matrices with entries of 1s and 0s, there are six invertible matrices.

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The value of √N is 3.16159

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².

Given here: A quadrilateral WXYZ with ∠Z=75 and ∠X=105

Let P be a point on ZW such that ZP=x and WP=4-x, then we form a right-angled triangle ΔZPY with tan 15°=x/PY

∴ PY=x/tan 15

       =3.732x

Now using Pythagoras' theorem we get ZY as

 \(\sqrt{13.927x^2+x^2} \\=\sqrt{14.92x^2}\\ =3.862641x\)

Now let's connect the diagonal ZX we get the right triangle ZWX

Thus using Pythagoras' theorem we get

ZX=\(\sqrt{4^2+4^2}\)

    =4√2

Again let Q be an extension such that YQ=4-x & ∠YXQ=75°

Thus Sin 75=4-x/√N

            √N=4-x/0.965923

squaring both sides we get N=(4-x)²/0.9330127........(1

Now using the Pythagoras theorem in ΔZYX we get

√N=

\(\sqrt{ZX^2-ZY^2} \\=\sqrt{32-14.92x^2} \\\)

⇒N=32-14.92x²..,.......2)

Thus equation two values of N we get

(4-x)²/0.9330127=32-14.92x²

16-8x+x²=29.8564-13.920549x²

14.921x²-8x-13.856=0

Thus using the quadratic formula we get the value of x as

x= 8±29.85 /29.84

x=1.2684  (∵ Distance cannot be negative)

∴ Value of N=32-14.92×1.2684

                    N=13.075

                   √N=3.6159

Hence, The value of √N is 3.16159

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Answer:

25 flowers are present in the garden

Step-by-step explanation:

we can solve this problem is by divide 15 by 3 since we know the ratio is 3:2. 15 divided by 3 is 5, so we then multiply 2 by 5 to get the answer of 10 daisies in the garden. Then we simply add the flowers together to get 25!  Hope this helps you!

Answer:i dunno

Step-by-step explanation:e

Answer:

y = 6.7

x = 8

Step-by-step explanation:

3^2 + 6*2 = y

√9 + 36 = y

6.7 = y

10^2 = 6^2 + x

100 = 36 + x

100 (-36) = 36 (-36) +x

√64 = x

8 = x

Answer:

Step-by-step explanation:

\(a_n=a_1\cdot r^{n-1}\\\\a_1=5\\r=2\\n=4\\\\a_4=5\cdot2^4=5\cdot16=80\)

Answer:

-3(3x-1)

Step-by-step explanation:

i checked my answer

Answer:

b.

Step-by-step explanation:

|-2.5|<|-3|

l -2.5 l = 2.5

l -3 l = 3

2.5 < 3

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

4 is factor of f(x)=x-4, -1 is factor of f(x)=(x+1) and 3/2 is factor of f(x)=2x-3

Factor: A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors: multiplication and division

substitute all x values in the given options to find the factors of f(x)

f(4)=0

substitute in all options

f(4)=4+1 =5

f(4)=4-1=3

f(4)=3(4)+2=14

f(4)=4+4=8

f(4)=2(4)-3=5

f(4)=2(4)+3=11

f(4)=3(4)-2=10

f(4)=4-4=0

4 is one factor of f(x)=x-4

now substitute -1 in all the options

f(-1)=-1+1=0

f(-1)=-1-1=2

f(-1)=3(-1)+2=-1

f(-1)=-11+4=-7

f(-1)=2(-1)-3=-5

f(-1)=2(-1)+3=1

f(-1)=3(-1)-2=-5

f(-1)=(-1)-4=-5

-1 is one factor of f(x)=x+1

now similarly substitute 3/2 in all the options which gives

3/2 is one factor of f(x)=2x-3

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Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

0.3 ← has 3 in the tenths column , then

0.3 = \(\frac{3}{10}\) ← asa fraction in simplest form

The solution of the equation, 2cscx+17=15+cscx on the interval  [0, 2π) will be7π/6 and 11π/6.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that,

2cscx+17=15+cscx

The interval is [0,2

The solution of the equation 2cosec x+17 = 15+cosec x is 7π/6 and 11π/6.

⇒ 2csc x + 17 = 15 + csc x

⇒ 2csc x - csc x = 15 - 17

⇒ csc x = -2

As we  know,

csc x = 1/sinx

⇒ 1/sinx = -2

⇒  sinx = -1/2

⇒sin 30° = 1/2

As the value of sinx is negative, the x will be in the 3rd and 4th quadrants.

The values in the 3rd quadrant are,

= 180° + 30°

= 210°

The value in the 4th quadrant is,

= 360° - 30°

= 330°

As a result, the obtained value of x is,

x = 210°

x = 210 × π/180

x  = 7π/6

x = 330°

x= 330 × π/180

x= 11π/6

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Answer:

A = 20

B = 12.5

C = 10.2

Step-by-step explanation:

A = (10 + 20 + 30)/3 = 20

B = (5 + 10 + 15 + 20) = 12.5

C = (1 + 5 + 10 + 15 + 20) = 10.2

Answer:

84.78

Step-by-step explanation:

You do 27 tomes pi(3.14)

Answer:

Circumference ≈ 84.82cm

Step-by-step explanation:

The diameter is 27cm

The equation to find circumference is (2πr)   (Two times pi times radius)

We are given the diameter, the length across entire circle through the center of the circle, but we need radius, the distance between the center point to the edge of the circle.

To get radius, you divide diameter by 2, getting 13.5.

Now, all you have to do is "plug-and-chug,"  putting 13.5 in for radius in the circumference equation. (2π13.5)

You will get Circumference ≈ 84.82