What is 18.75 divided by 8?

Answer:

Step-by-step explanation:

Direct variation problems can easily be solved with proportions, namely:

\(\frac{x}{y} :\frac{2}{5}=\frac{4}{y}\) and cross multiply to get

2y = 20 so

y = 10

Answer:

A the answer is A ^w^ hope this helps

Answer:

43.6 has 3 significant figures.

Answer:

Step-by-step explanation:

expression 30+x will calculate the money I will have in my wallet at the end of the day after being paid to work as a coach, given that I already have $30 in my wallet

x-is the amount of money I will make today

A. inequality that compares the temperatures of the two cities is: -2 > -6. B. inequality means city R, represented by -2 on the number line greater than the temperature of city S, represented by -6 on the number line. C.  city R is warmer than city S.

In mathematics, an inequality is a statement that compares two values or expressions and indicates that one is greater than, less than, or equal to the other. Inequalities are used to describe relationships between values that are not necessarily equal, and they are written using special symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

For example, the inequality 3x + 2 < 10 means that the expression 3x + 2 is less than 10. This inequality can be solved for x by subtracting 2 from both sides and then dividing by 3, yielding x < 2. This means that any value of x that is less than 2 will satisfy the inequality.

The inequality that compares the temperatures of the two cities is: -2 > -6

This inequality means that the temperature of city R, represented by -2 on the number line, is greater than the temperature of city S, represented by -6 on the number line. In other words, city R is warmer than city S.

On the number line, the further to the right a number is, the greater it is. Since -2 is to the right of -6, this indicates that -2 is greater than -6, which represents the fact that city R is warmer than city S.

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The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

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The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

Answer:

To find the medium order the numbers from least to greatest. Then each time cross off one number from the left side and the right. When you get down to 1 or you have 2 left those are your medians. If you have 2 numbers add them up and divide them by 2. If you have 1 that is your medium. Hope this helps. The median is 70.

Step-by-step explanation:

The perimeter of Sam's string is 178 inches.

Given information:

Sam has a rectangular shaped window.

Length = 65 inches.

Width = 24 inches.

To find the perimeter:

you can use the formula:

Perimeter = 2 x (Length + Width)

Substituting the values into the formula, we have:

Perimeter = 2 x (65 + 24)

Perimeter = 2 x 89

Perimeter = 178 inches

Therefore, the perimeter of the rectangular window is 178 inches.

So, the perimeter of the rectangular window is 178 inches. This means that if you were to walk along the outline of the window, you would cover a total distance of 178 inches. It's important to note that the perimeter represents the total length of all the sides combined, and it is measured in the same unit (in this case, inches) as the length and width of the window.

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Answer:

E.  16y

Step-by-step explanation:

Given equation:

5(x - 6y) = 50y

Expand the brackets using
Distributive Property for subtraction:  a(b - c) = ab - ac

⇒ 5 · x - 5 · 6y = 50y

⇒ 5x - 30y = 50y

Add 30y to both sides:

⇒ 5x - 30y + 30y = 50y + 30y

⇒ 5x = 80y

Divide both sides by 5:

⇒ 5x ÷ 5 = 80y ÷ 5

⇒ x = 16y

Answer:

27

Step-by-step explanation:

The actual mean is 27.008333333333, round that as you will.

Answer:

27 is the answer

Step-by-step explanation:

Took the test and got it right

Answer:

\(0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570\)

\(0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630\)

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Step-by-step explanation:

The information given we have the following info given:

\( n = 1019\) represent the sampel size

\( \hat p=0.6\) represent the sample proportion of interest

The confidence level is 95%, our significance level would be given by \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\). And the critical value would be given by:

\(z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96\)

The confidence interval for the mean is given by the following formula:  

\(\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\)

Replacing the info given we got:

\(0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570\)

\(0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630\)

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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1/10 on a number line

The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.

Perimeter is the addition of an external measure of sides it will always positive.

A perimeter is a length and has a degree of the unit as one.

For example

Perimeter of square = side + side + side + side

The perimeter of the circle = πd where d is the dia of the circle.

Given a triangle with sides a,b and c

The perimeter of triangle is = a + b+ c

So,

The perimeter of the triangle is the sum of all sides.

Hence The given statement "The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c" is absolutely correct.

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The dimensions of the poster with the smallest area are; 27.75 cm x 27.75 cm

Let "x" and "y" denote the length and the width of the poster.

We are told that the margin of a poster are 4 cm and the side margins are 4 cm.

The length of the print = x - 2(4) = x - 8

The width of the print = y - 2(4) = y - 8

The area of the print = length * width = (x - 8)(y - 8)

The area of the print is given as 390 square inches. Thus;

(x - 8)(y - 8) = 390

Making y the subject gives;

y = (390/(x - 8)) + 8

The area of the poster is; A = xy

Thus;

A = x[(390/(x - 8)) + 8]

A =  (390x/(x - 8)) + 8x

Minimizing the area gives;

A' = 8 - (3120/(x - 8)²)

Equating to zero gives;

8 - (3120/(x - 8)²) = 0

8(x - 8)² = 3120

(x - 8)² = 3120/8

(x - 8)² = 390

x = 27.75 cm

y = (390/(27.75 - 8)) + 8

y = 27.75 cm

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The values of x is x<39.5.

Given that the shopkeeper spends on rent and electricity is = 5x+14

Spending of shopkeeper on rent = 3x-7

So shopkeeper spends on electricity = (5x+14) - (3x-7) = 2x+21

Given that amount the shopkeeper spends on electricity less than 100.

So suitable inequality,

2x+21 < 100

2x < 100-21

2x < 79

x < 39.5

All the values of x<39.5.

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Answer:

59cm

Step-by-step explanation:

Answer:

 0

Explanation:

Given expression:

\(\sf 6 - (1 \times 4) -2\)

Use BODMAS method:

brackets, order, division, multiplication, addition, subtraction

First simplify variables inside brackets

\(\sf 6 - (4) -2\)

Then simply use subtract integers

\(\sf 0\)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's get it done using Bodmas Rule ~

\(\qquad \sf  \dashrightarrow \: 6 - (1 \times 4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - (4) - 2\)

\(\qquad \sf  \dashrightarrow \: 6 - ( 4 + 2)\)

\(\qquad \sf  \dashrightarrow \: 6 - 6\)

\(\qquad \sf  \dashrightarrow \: 0\)

We will get the end result 0, on simplification ~

Answer: 272%

Step-by-step explanation: To write 136/50 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

136/50 * 100 = 2.72 * 100 = 272%

And finally we have:

136/50 as a percent equals 272%

Answer: 18(a)-89=217

Step-by-step explanation:

If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.

Hope this helped.

Answer:217

Step-by-step explanation:

putting the value of a in the equation.

18×17-89= 217

They shouldn't reach different conclusions from the same data, but when it happens, it can be attributed to the fact that

Using the median concept and the quartiles, we have that:

In this problem, there are 12 elements, hence:

Thus, Q1 = 120, Q3 = 160 and the IQR is:

IQR = 160 - 120 = 40.

1.5 IQR is: 1.5 x 40 = 60.

The boundaries are:

There is a value less than 60 in the data set, hence the sentence that describes the outliers is: B: The outlier is less than the lower boundary.

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Answer:

Use the data to answer the questions.

What is 1.5 ∙ IQR? ✔ 60

What is the lower boundary? ✔ 60

What is the upper boundary? ✔ 220

Which sentence describes the outliers? ✔ The outlier is less than the lower boundary.

Step-by-step explanation:

edge 2023