Simplify Forty eight fourths 48/4

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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The required missing number is 51.02

Any progression in which the ratio of adjacent terms is fixed is a Geometric Progression. The general form of representation of a geometric sequence is a, ar, ar2, ar3, ar4, ar5, .....

Given here the numbers 140,100,71.4, ,36.44

clearly 140/100=100/71.4=1.4

Thus the given set of numbers form a geometric progression with common ratio 1.4

Therefore the complete set of numbers are 140,100,71.4,51.02,36.44

Hence, the required numbers is 51.02

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Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

Answer:

The slope is undefined.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-1)/(-4-(-4))

m=-8/(-4+4)

m=-8/0

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The linear function is given as follows:

\(y = \sqrt{x} + 4\)

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

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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Answer:

a sultan

Step-by-step explanation:

i looked it up on quizlet after thinking it was sultan and i was right

anyways the answer is sultan and its correct

have a good day!

Answer

the answer is sultan

Step-by-step explanation:

Answer:

9.4ft²

Step-by-step explanation:

The formula for the area of a rectangle is base*height, or b*h.

Since we know the final area of the room and one of the side lengths, we can plug those into the formula I just stated so that we get

15*h=141

All that's left to do is solve for h, which is the other side that we are solving for. To do this, we will divide 15 on both sides:

15h/15=141/15

The 15s on the left side cancel out, and we simply divide 141 by 15 to get our final answer of 9.4ft².

Yes, there is an analogous ratio between 2:1 and 20:10.

We just cancel by a common factor. So 4:2=2:1 . The simplest representation of the ratio 4 to 2 is the ratio 2 to 1. Also, since each pair of numbers has the same relationship to one another, the ratios are equivalent.

By dividing the terms of each ratio by their greatest common factor, we may simplify both ratios to explain why.

As the greatest common factor for the ratio 2:1 is 1, additional simplification is not necessary.

The greatest common factor for the ratio 20:10 is 10. When we multiply both terms by 10, we get:

20 ÷ 10 : 10 ÷ 10

= 2 : 1

As a result, both ratios have the same reduced form, 2:1, making them equal.

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Answer:

y=-5/4x+3

Step-by-step explanation:

y=mx+c

m = (y1-y2)/(x1-x2) =(-2-3)/(4-0) =-5/4

sub the values y=3, x=0 to find c,

3 =-5/4(0) + c

c = 3

Answer:

draw a line between an empty point at 0 and a filled point at 3

Step-by-step explanation:

To graph this inequality we first want to isolate the y variable to make it a bit easier to deal with. This is a compound inequality and when isolating the y variable instead of just doing an operation on both sides, we do it to all sides which follows the same principle of maintaining equality.

We start with the original inequality:
\(-4 \le -2(y-1) < 2\)

From here we divide by -2 on all sides, but since we're dividing by a negative we would flip the way the inequality is pointing so we get:
\(2\ge y-1 > -1\)

From here we add 1 to all sides.

\(3 \ge y > 0\)

Although generally we would write this as:

\(0 < y \le 3\)

Now to graph this we would draw a hole on the number line at the point zero, and a filled point on the number line at 3, since 3 is included (since less than or equal to 3) and then just connect the two points. I'll include an image that demonstrates this.

Answer:17

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:

D

Step-by-step explanation:

Answer:

D. 12°

Step-by-step explanation:

80° + 5x = 140°

or, 5x = 140° - 80°

or, x = 60°/5

:. = 12° Ans

Answer:

D (12).

Step-by-step explanation:

To find x, you would need to set up an equation. Since the whole angle, without the angle bisector, is 140, and one part of the angle with the bisector is 80, you would subtract 140-80, which would give you 60. Since the other angle is 5x, you would divide 60/5, which would give you 12, thus resulting in D as your answer.

Hi there! :)

\(\large\boxed{C.)\text{ } y = -1/2x + 4}\)

Given equation:

y = 2x + 3

A perpendicular line would have a slope of the negative reciprocal, therefore:

2x --> -1/2x

Use the equation y = mx + b to plug in the given point values along with the slope to solve for the final equation:

3 = -1/2(2) + b

3 = -1 + b

3 + 1 = b

b = 4

Therefore, the final equation is:

y = -1/2x + 4

The correct answer choice is C, y = -1/2x + 4.

Therefore, the height of the rectangle and the radius of the semicircle should be 8 feet each in order for the Norman window to admit the most light.

The distance along the line defining a half circle's boundary is known as the semi circle's perimeter. It is made up of the diameter of the semi circle, which is a straight line that passes through the center of the circle, and the semi circle's curving arc. For example, he radius of the semicircle and the height of the rectangle such that the window will admit the most light. A semi circle's diameter must be determined before calculating the circumference. This may be accomplished by determining the radius of the semicircle, which is the separation between any two points on the circle and the circle's center. Simply said, the diameter is twice the radius.

How to solve?

If the perimeter of the Norman window is 32 feet, then each side of the rectangle must be 8 feet long. ( using 2(l+b))

The radius of the semicircle must also be 8 feet, as the perimeter of a semicircle is equal to 2 * pi * radius.

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Answer:

A) 2p

(because DC is twice the size of AB. Hence why they're in the ratio of 2:1)

B) p+q

(Start from B, go backs against the arrow to the left and get - p, then + q and + 2p. Simplify -p+q+2p)

Hope this helps!

The confidence interval for the proportion of millennials that care about Jobs/Economy is (0.22, 0.28).

The term confidence interval refers statistical measure used to indicate the range of estimates within which an unknown statistical parameter is likely to fall.

Here we have given that Jobs/Economy 25%, Immigration 17%, Healthcare 16%, Education 16%, Environment 12%.

And we need to find the confidence interval for the proportion of millennials that care about Jobs/Economy.

As per the formula of confidence interval,

CI = x ± Z× s/√n

CI = 25 ± 1.9600 × 0.03/ √50

CI = 25 ± 0.00832

When we simplify this one then we get the confidence interval for the proportion of millennials that care about Jobs/Economy as

=> (0.22, 0.28)

Therefore, option (3) is correct.

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Answer:

Cddd

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

edge 2020

Answer:

the answer is b i just took the test

Step-by-step explanation:

The domain of the function is the x values that the function can assume. See that the function starts and x = -4 (minimum value) and ends at x = 2 (max value). This is the domain! In inequality notation this will be:

The range of the function is the same idea of the domain but now looking at the y-axis

The function starts on the level y = 6 (max value that the function can assume) and the minimum value is y = 2. In inequality notation this will be:

Answer:

4 foot.

Step-by-step explanation:

Here, we have a rectangular sheet of plywood with dimension 4 foot × 8 foot

That is, length of the rectangle = 4 foot and breadth = 8 foot.

Since we have to cute the plywood.

And, form a square from it.

Since, we know that all sides of square are same.

Therefore we have to cut a figure which has the same side.

When we cut the rectangle from the middle we found two sheet of 4 foot side length.

Since, both figures have the same side length of each edges.

Therefore both are squares of sides 4 foot.

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The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Two lines are 2linese intersect to form linear pairs with equal measures one angle measures 2x other measure 11y+2. x is 45 and y is 8.

The sum of a linear pair of angles is 180 degrees.

Now, we are given two pieces of information. We will use these to develop equations and then solve the equations simultaneously.

First, we know that the two angles are equal, therefore:

2x = 11y+2-------.> equation 1

Second, we know that the two angles form a linear pair of angles, therefore:

2x +11y+2 = 180 -------.> equation 2

Substitute by equation 1 in equation 2:

2x +2x = 180

4x       = 180

        x =  45

Substitute with the value of x in equation 1 to get y as follows:

2x = 11y+2

2 (45) -2 = 11y

         88 = 11y

         y = 8

Therefore:

the first angle = 2x = 2(45) = 90 degrees

the second angle = 11(8)+2 = 90 degrees

The two angles are equal and their sum is 180 .

Line pairs of angles occur when two lines intersect at a single point. Angles are considered linear if they are adjacent after the intersection of these two lines. The sum of the angles of a linear pair is always 180°. Such angles are also called supplementary angles.

If there is a pair of adjacent angles, the pair is a linear pair if the sum of the two angles (their measures) is 180°. Thus, linear pairs of angles always add up to 180°.

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Answer:

1.2 degrees celsius per hour

Step-by-step explanation:

that’s the answer on khan academy

The Average rate is 1.2 hour

A single rate that is a weighted average of the different rates that are applicable to property in various locations.

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Given:

The temperature at 3:30 pm is 24 degrees.

and, the temperature at 8:30 pm is 18 degrees.

So, the time difference is of 5 hours.

then, the average rate is

= (24 - 18) / 5

= 6 /5

= 1.2 hour.

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a. The center of the circle is (-2, -1).

b. The radius of the circle is √136.

c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

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

In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:

Midpoint = ((-7 + 3)/2, (-4 + 2)/2)

= (-4/2, -2/2)

= (-2, -1)

Therefore, the center of the circle is at the coordinates (-2, -1).

b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.

Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)

Using the distance formula:

Distance = √[(3 - (-7))^2 + (2 - (-4))^2]

= √\([(3 + 7)^2 + (2 + 4)^2]\)

= √\([10^2 + 6^2\)]

= √[100 + 36]

= √136

Therefore, the radius of the circle is √136.

c. The equation for a circle with center (h, k) and radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:

\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)

\((x + 2)^2 + (y + 1)^2 = 136\)

Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

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Answer:

Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 is the simplified version of 11/3

Step-by-step explanation: