Which statement correctly compares the spreads of the distributions?
Frequency
10
8
6420
Class Sizes at East Valley HS
0+
14 16 18 20 22 24 26 28 30 32
10
Frequency
6626
Class Sizes at Northview HS
0
14 16 18 20 22 24 26 28 30 32
OA. The ranges of East Valley HS and Northview HS are the same.
B. The range of Northview HS is greater than the range of East Valley
HS.
C. The range of East Valley HS is greater than the range of Northview
HS.
D. The mode of Northview HS is greater than the mode of East Valley
HS.

Answer:

\( x = - 1\)

\(x + 1 = 0\)

\( {(x + 1)}^{2} = {x}^{2} + 2x + 1 = 0\)

So m = 2 and n = 1, meaning m + n = 3.

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

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Answer:

2

Step-by-step explanation:

4²=16

16 × 3 = 48

2²=4

4 × 6 = 24

48 ÷ 24=2

(4² * 3) / (2² * 6)

Answer:

the awnser is 2

Step-by-step explanation:

4 times 6= 24

16 times 3=48

48 divided by 24 =2

Answer:

i) To calculate the amount after 2 years compounded annually, we can use the formula:

A = P(1 + r/n)^(nt)

where A is the amount, P is the principal (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

In this case, P = Rs. 50000, r = 0.04 (since the interest rate is given as 4%), n = 1 (since the interest is compounded annually), and t = 2. Plugging these values into the formula, we get:

A = 50000(1 + 0.04/1)^(1*2)

A = 50000(1.04)^2

A = Rs. 54,080

Therefore, the amount after 2 years is Rs. 54,080.

ii) To calculate the interest, we can subtract the principal from the amount:

Interest = Amount - Principal

Interest = Rs. 54,080 - Rs. 50000

Interest = Rs. 4,080

Therefore, the interest earned after 2 years is Rs. 4,080.

Step-by-step explanation:

Answer:

\(b = 2\sqrt{2}\\\\a=4\)

Step-by-step explanation:

\(b = 2\sqrt{2}\\a = \sqrt{b^2+(2\sqrt{2})^2} = \sqrt{8+8}=\sqrt{16}=4\)

Answer:

Step-by-step explanation:

b^10 / b^6 = b^10-6 = b^4

Hope that helps!

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(3x+y=7\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3} x+7\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

therefore

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-3\implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3}\implies \cfrac{1}{3}}}\)

so we're really looking for the equation of a line whose slope is 1/3 and passes through (3 , -3)

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y+3=\cfrac{1}{3}x-1\implies y=\cfrac{1}{3}x-4\)

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:

---------------

Let the numbers be s and l.

We are given that:

Set up equations:

Eliminate l:

Solve for s:

Find l:

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

220m

Step-by-step explanation:

l=85m

b=25m

perimeter=2(l+b)

2(85+25)

2(110)

=220m

perimeter is 220m

Answer:

Step-by-step explanation:

The distance around the field means the perimeter of the field

Since the field is rectangular

Perimeter of a rectangle = 2l + 2w

where l is the length

w is the width

From the question

l = 85m

w = 25m

Perimeter = 2(85) + 2(25)

Perimeter = 170 + 50

The final answer is

Perimeter = 220m

Hope this helps you

According to the situation described, we have that:

a) The arithmetic sequence that gives the number of seats in the nth row is given by:

\(a_n = 24 + 7n\)

b) The 38th row has 290 seats.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

Item a:

The first row has 31 seats, the second has 38, the third has 45 and so on, hence:

Then, the rule is:

\(a_n = a_1 + (n - 1)d\)

\(a_n = 31 + 7(n - 1)\)

\(a_n = 24 + 7n\)

Item b:

This is the nth row, for which \(a_n = 290\), hence:

\(a_n = 24 + 7n\)

\(290 = 24 + 7n\)

\(7n = 266\)

\(n = \frac{266}{7}\)

\(n = 38\)

The 38th row has 290 seats.

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Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

Answer:

B.)The new pyramid has a volume that is One-half the volume of the original pyramid.

Step-by-step explanation:

got it right on test.

Answer:

B

Step-by-step explanation:

I got it correct

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Therefore , the solution of the given problem of volume comes out to be 4500 pounds of the crushed mineral can fit inside the container.

The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Litre and in3 are the symbols for cubic measurements. However, in order to determine an object's dimensions, you must be aware of its volume. It's common practise to translate an object's weight onto metric units like kilogrammes.

Here,

We must first determine the container's volume, then multiply it by the crushed mineral's weight per cubic foot.

The container's measurements in the image are as follows:

=> 5 feet in length

=> Size: 3 feet wide

=> Height is two feet.

The following formula determines the container's volume:

=> Volume = length* width*height

Inserting the values:

=> 5 feet * 3 feet * 2 feet = volume.

=> 30 cubic feet is the volume.

=> Volume of container x Weight per cubic foot = Weight of crushed mineral

=>  Weight of crushed mineral = 30 cubic feet x 150 pounds/cubic foot

=>  The crushed mineral weighs 4500 pounds.

Therefore, 4500 pounds of the crushed mineral can fit inside the container.

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Answer:

If you round it the 30. If not round 29.7

Step-by-step explanation:

Branliest plz :)

Answer:

p = q

Step-by-step explanation:

Answer:

the answer is q=1

Step-by-step explanation:

I did the quiz

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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The system of inequalities that models this situation is given as follows:

The variables that are used to model the system of inequalities are given as follows:

Both amounts are countable amounts, meaning that they cannot assume negative values, hence:

He wants to buy a combination to feed at least four siblings, hence:

x + y ≥ 4.

He had $8, hence, considering the price of each product, we have that:

2x + y ≤ 8.

The problem asks for the system of inequalities which models the situation.

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Answer:

\( \frac{7}{15\%} = \frac{7}{ \frac{15}{100} } \\ = \frac{7 \times 100}{15} \\ = 46 \frac{2}{3} \)

Step-by-step explanation:

\(\bold{\dfrac{7}{15\%} }\)

\(\bold{\dfrac{7}{\dfrac{15}{100}} }\)

\(\bold{\dfrac{7×100}{15} }\)

\(\bold{\dfrac{7×\cancel{100}}{\cancel{15}} }\)

\(\bold{\dfrac{7×20}{3} }\)

\(\bold{\dfrac{140}{3} }\)

\(\bold{46\dfrac{2}{3} }\)

Answer:

To solve the equation:

2/3x - 1/5x = x - 1

First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:

(10/15)x - (3/15)x = 15/15 x - 1

Simplifying the left side:

(7/15)x = 15/15 x - 1

Multiplying both sides by 15:

7x = 15x - 15

Subtracting 7x from both sides:

-8x = -15

Dividing both sides by -8:

x = 15/8 or 1.875

Therefore, the solution to the equation is x = 1.875.

The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

Given data ,

Susan is running a 5k race. The graph of distance vs. time is shown

So , the slope of the first line is m₁

And , the slope of the second line is m₂

where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )

Now , slope of AB is

m₁ = ( 3/10 ) = 0.3

And , m₁ = 0.3 kilometers per minute

And , slope of BC is

m₂ = ( 4 - 3 ) / ( 20 - 10 )

m₂ = 1/10

m₂ = 0.1 kilometers per minute

Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )

Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

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Answer:

no

Step-by-step explanation:

18 is repeted in the y-axis

Answer:

false

Step-by-step explanation:

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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Answer:

One Solution

Step-by-step explanation:

So we have the equation:

\(4x+(-3x+2)=2x+5-2\)

On both sides, combine like terms:

\((4x-3x)+2=2x+(5-2)\)

Simplify:

\(x+2=2x+3\)

Subtract x from both sides. The left cancels:

\((x+2)-x=(2x+3)-x\\2=x+3\)

Subtract 3 from both sides. The right cancels:

\((2)-3=(x+3)-3\\-1=x\)

Flip:

\(x=-1\)

So, our equation only has one solution.

And the answer is -1 :)

Answer:

x = 12

Step-by-step explanation:

Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units