14. A stationary store ordered a shipment of 500 pens. During quality control, they discovered that 40 pens were defective and had to be returned. If the cost of each pen is Dhs. 5. What is the total cost of the pens that were returned?

Answer:

3.5

Step-by-step explanation:

25*14= 350

350/100

3.5

Answer:

25% of 14 =

3.5

Step-by-step explanation:

hope this help have a good day

Answer:

800

Step-by-step explanation:

28/100 =224/x

28x/28 = 22400/28

In a two-way ANOVA, the sum of squares can be calculated for each of the factors and their interaction. The sum of squares for each factor represents the variation in the dependent variable that can be attributed to that particular factor. Therefore, the sum of squares for a two-way ANOVA can be found by calculating the sum of squares for each factor and their interaction.

To find the sum of squares for a two-way ANOVA, follow these steps:

Calculate the grand mean, which is the overall mean of the dependent variable.

Calculate the sum of squares for each factor. This can be done by calculating the sum of the squared deviations of each level of the factor from the grand mean, and then summing these squared deviations across all levels of the factor. The sum of squares for factor A (SSA) and factor B (SSB) can be calculated as follows:

SSA = Σ(∑Xij – (∑Xj/n))^2 / (r * n)

SSB = Σ(∑Xij – (∑Xi/n))^2 / (c * n)

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, n is the total number of observations, r is the number of levels for factor A, and c is the number of levels for factor B.

Calculate the sum of squares for the interaction between factor A and B (SSAB) by summing the squared deviations of each cell mean from the corresponding row mean, column mean, and grand mean, and then summing these squared deviations across all cells. The formula for SSAB is as follows:

SSAB = ΣΣ(Xij – Xi – Xj + X)^2 / ((r-1) * (c-1))

Where Xij is the value of the dependent variable for the ith level of factor A and the jth level of factor B, Xi is the mean of the ith level of factor A, Xj is the mean of the jth level of factor B, and X is the grand mean.

Calculate the residual sum of squares (SSE) by subtracting the sum of squares for factor A, factor B, and their interaction from the total sum of squares (SSTO):

SSE = SSTO – SSA – SSB – SSAB

Verify that the sum of squares for each factor and their interaction, plus the residual sum of squares, equals the total sum of squares:

SSTO = SSA + SSB + SSAB + SSE

Therefore, to find the sum of squares in a two-way ANOVA, calculate the sum of squares for each factor and their interaction, and the residual sum of squares using the above steps.

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now, assuming it's asking for its equation.

\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{- \cfrac{5}{2}}(x-\stackrel{x_1}{(-1)}) \implies y +2 = - \cfrac{5}{2} ( x +1) \\\\\\ y+2=- \cfrac{5}{2}x-\cfrac{5}{2}\implies y=- \cfrac{5}{2}x- \cfrac{5}{2}-2\implies {\Large \begin{array}{llll} y=- \cfrac{5}{2}x- \cfrac{9}{2} \end{array}}\)

Step-by-step explanation:

f(x) = x − 5

=> f(-1) = -1-5 = -6

=> f(f(−1)) = f(-6) = -6-5

= -11 (option C)

we have that

steps

Divide the tens column dividend by the divisor

Multiply the divisor by the quotient in the tens place column

Subtract the product from the divisor

Bring down the dividend in the ones column and repeat

therefore

divide, multiply, subtract, bring down and repeat or find the remainder

The mean GPA is greater than 2.75.

To find the GPA:

Therefore, the mean GPA is greater than 2.75.

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Answer:

C.

Step-by-step explanation:

A. -12 = -12

b. -2 = -2

C -4 = -8

D. -4 = -4

Answer:

210 degrees

Explanation:

In symmetrical rotation i.e for the polygon to appear to be in the same place

The angle of rotation = 360/number of sides of the polygon

Number of sides=12

Therefore, Angle of rotation = 360/12=30 degrees

For AB to map onto FG, the polygon will have been rotated symmetrically seven times.

Therefore, the angle of rotation such that AB maps onto FG

= 30 x 7

= 210 degrees.

The volume of the sphere with a diameter of 12 ft is calculated as: 288π feet cubed.

The volume of a given sphere with a radius (r) is given as: V = 4/3πr³.

Given the following:

Volume of the sphere = 4/3π(6³)

Volume of the sphere = 288π feet cubed

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Answer:

288 Is the answer : )

Step-by-step explanation:

I got it right on the test (100%)

Answer:

sorry i need points but i hope you find what your looking for!

Step-by-step explanation:

Answer:

20 of the M&M's are blue.

Step-by-step explanation:

\( \frac{2}{3} \times 30 \\ = 20\)

To evaluate the iterated integral ∫∫∫ R x\(y^{2}\) dz dy dx over the given region R in cylindrical coordinates, we first convert the limits of integration and the integrand to the cylindrical form. Then we evaluate the integral using the appropriate transformations and calculations.

In cylindrical coordinates, we express points in three-dimensional space using the variables (ρ, θ, z), where ρ represents the distance from the origin to a point projected onto the xy-plane, θ denotes the angle measured counterclockwise from the positive x-axis to the projection of the point onto the xy-plane, and z represents the height of the point above or below the xy-plane.

To evaluate the given iterated integral, we begin by transforming the limits of integration. The outermost integral corresponds to the variable ρ, which ranges from 0 to 1. The next integral corresponds to θ and remains unchanged since the region R does not involve any angular restrictions. The innermost integral corresponds to z and ranges from the lower limit of √(1 - \(x^{2}\)) to the upper limit of √(1 - \(x^{2}\)), as determined by the given limits of integration.

Next, we convert the integrand, \(xy^2\), to cylindrical coordinates. The variable x is replaced by ρcosθ, and y is replaced by ρsinθ, giving us \(ρ^3cosθsin^2θ\).

With the limits of integration and the integrand expressed in cylindrical coordinates, we proceed to evaluate the iterated integral. Following the order of integration, we integrate ρ from 0 to 1, θ from 0 to 2π, and z from √(1 - \(x^{2}\)) to -√(1 -\(x^{2}\)). The integration of ρ yields \(ρ^4\)/4, the integration of θ results in 2π, and the integration of z simplifies to 0.

Finally, we substitute the limits of integration and perform the calculations: (∫(0 to 1) \(ρ^4\)/4 dρ) * (2π) * (0). Evaluating the integral of\(ρ^4\)/4 yields 1/20, and multiplying this by 2π and 0 gives us the final result of 0.

Therefore, the evaluated iterated integral in cylindrical coordinates is 0.

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Answer:

Ariana is correct.

Step-by-step explanation:

56 - 11 min to warm up = 45 mins of running

9 min per mile*5 miles = 45 mins of running

Ariana is correct because of the work shown above.

Hope this helps!

Answer:

So the answer is H

Step-by-step explanation:

They could be situated as

x y z

in which case xy 5 and yz = 3

The total would be 8.

if they are situated like this

x z y

then xy = 5 and yz = 3 but its going the opposite way.

5 - 3 = 2

Answer:

\(\frac{2}{21}\) i think

Step-by-step explanation:

Answer:

2/21

Step-by-step explanation:

Answer:

y = -8

Step-by-step explanation:

When two variables vary inversely, their relation is proportional. This means that their product is constant.

We can show the constant of proportionality (k) using the equation:

x · y = k

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

Note: you may also see this written as:

y = k / x

⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯

↓ plugging in the given values

(-4) · 6 = k

    -24 = k

       k = -24

Using this constant, we now solve for y when x = 3 by plugging that value into the proportionality equation above:

x · y = k

↓ plugging in the known values

3 · y = -24

↓ dividing both sides by 3

y = -24/3

y = -8

Answer:

A. Volume: 819, Surface Area: 598

B. Surface area

C. Volume

Step-by-step explanation:

Sorry I'm late, but here I go.

The volume of a rectangular prism is \(lwh\) or \(bh\). (l being length, w being width, and h being height.)

So if we multiply the 3 values of 13, 9, and 7, we get 819. This is the volume.

To find the surface area, we can take note that 4 sides are the exact same, and the remaining two are the same. Let's find the area of the top/bottom of the prism.

\(13\cdot9=117\)

Since there are two, bottom and top:

\(117\cdot2 = 234\).

Now, there are the remaining 4 sides. Let's find the area of one then multiply it by 4.

\(13\cdot7=91\\91\cdot4=364\)

Adding 364 and 234 gets up 598, so this is the surface area.

If we are painting something, the surface area is being painted, as we can't paint inside the box. However if we fill up the box with something (concrete in this case), it will be the volume.

Hope this helped!  

Answer:

a.

v= 819 cm3

sa= 542 cm2

b. surface area

c. volume

Step-by-step explanation:

Volume of a rectangular prism: Length x width x height

Replacing with the values given:

V = 13 x 9 x 7 = 819 cm3

Surface area = S = 2 × (W × L + L × H + H × W)

S = 2 ( [9x13]+ [13 x7] +[7x9]) = 2 ( 117+91+63)= 542 cm2

b . Surface area, because we only have to paint the exterior of the brick.

c. Volume, because is the amount of concrete that the brick has.

The correlation and the slope always have the same sign (+ or −), meaning that if the correlation is positive, the slope will also be positive and vice versa.

The slope and the correlation are two important measures in statistics. The slope of a line represents the change in the dependent variable (y) for every 1 unit change in the independent variable (x).

In the case of the least-squares line, the slope (m) and the correlation (r) have a relationship.

It is important to note that the slope of the line is always equal to the correlation times the ratio of the standard deviation of the dependent variable to the standard deviation of the independent variable.

This can be represented mathematically as:

=> m = r * (SDy/SDx).

Therefore, the correlation (r) always has a value between −1 and 1, indicating the strength of the relationship between the variables. If r is close to 1, the relationship between the variables is strong and positive.

On the other hand, if r is close to −1, the relationship between the variables is strong and negative.

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Answer:

1 73/132

Step-by-step explanation:

GCF of 4, 11 and 3 is 132.

Convert the fractions and add!

Answer:

Step-by-step explanation:

The first number is

−

13

and the second number is

−

6

Explanation:

Let's let the first number be

n

and the second number be called

m

.

Then, from the first sentence we can write:

n

=

m

−

7

and from the second sentence we can write:

2

n

=

6

m

+

10

Substitute

m

−

7

for

n

in the second equation and solve for

m

:

2

(

m

−

7

)

=

6

m

+

10

2

m

−

14

=

6

m

+

10

2

m

−

14

−

2

m

−

10

=

6

m

+

10

−

2

m

−

10

−

14

−

10

=

6

m

−

2

m

−

24

=

4

m

−

24

4

=

4

m

4

m

=

−

6

Now substitute

−

6

for

m

in the first equation and calculate

n

:

n

=

−

6

−

7

n

=

−

13

Answer the answer is f

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

If you see two negatives next to each other, just think of them as adding. So add 8 and 7, you get 15.

A person deposits $100 in to her bank account and then withdraws $100 from the same account.

Twenty gallons of water leak from a pool and 20 gallons are put back into the pool.

Additive inverses are two numbers with the opposite signs:

   100 and –100

   –20 and 20

Answer:

A person deposits $100 in to her bank account and then withdraws $100 from the same account.

Twenty gallons of water leak from a pool and 20 gallons are put back into the pool.

Step-by-step explanation:

Additive inverse is when you have a number, like 5 and you add or subtract that same number to get zero, for example 5-5=0,  in this question, the answers would be

"A person deposits $100 in to her bank account and then withdraws $100 from the same account." is a CORRECT answer because the add 100 and remove 100.

"A driver drives 40 miles north and 30 miles south." is an INCORRECT answer because it has 2 different numbers.

"Twenty gallons of water leak from a pool and 20 gallons are put back into the pool." is a CORRECT answer because it shows how you have a pool and it loses 20, and you add 20.

"A plane ascends 500 yards and descends 100 yards." Is an INCORRECT answer because of the two different numbers.

Answer:

\(\bold{2\sqrt{3} ~is~irrational.}\)

Step-by-step explanation:

Hi there!

\(\bold{2\sqrt{3} }\) is an irrational number.

Now, what is an irrational number? An irrational number is a number that goes on for ever.

Examples: \(\bold{\pi ,\sqrt{2} , \sqrt{3} ....}\)

\(\bold{\sqrt{3} }\) is a surd (an irrational square root)

If we multiply 2 times \(\bold{\sqrt{3} }\), we will get an irrational number.

Thus, \(\bold{2\sqrt{3} }\) is an irrational number.

Hope it helps! Enjoy your day!

\(\bold{GazingAtTheStars}\)

Answer:

The center is ( 1,-3) and the radius is 3

Step-by-step explanation:

The equation of a circle can be written in the form

( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius

(x-1)^2 + (y+3)^2= 9

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

The center is ( 1,-3) and the radius is 3

Answer:

n=-4

Step-by-step explanation:

First, subtract 3n on both sides. This results in -3=n+1. Then, subtract 1 on both sides. The answer is n=-4.

Answer:

B

Step-by-step explanation:

We have the equation:

\(3n-3=4n+1\)

Let's solve for n. To do so, we want to isolate it.

Let's use the subtraction property of equality to subtract 3n from both sides:

\((3n-3)-3n=(4n+1)-3n\)

The left side will cancel...

\(-3=(4n+1)-3n\)

Subtract on the right:

\(-3=1n+1\)

Remember that 1n is the same as just n. So:

\(-3=n+1\)

Now, let's use the subtraction property of equality again to subtract 1 from both sides:

\((-3)-1=(n+1)-1\)

The right side will cancel. Subtract on the left:

\(-4=n\)

Symmetric property:

\(n=-4\)

So, our answer is B.

And we're done!

the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.

To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:

lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1

Simplifying the expression, we get:

lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1

Taking the absolute value and rearranging, we have:

lim(n->∞) |x - 2| < 1

This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.

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Answer: it B

Step-by-step explanation: if im wrong sorry wrong answer