At the beginning of the day the stock market goes down 50 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes up 120 3/4 points from the low at the beginning of the day. What is the total change in the stock market from the beginning

Answer: -19.2

Step-by-step explanation:

Answer:

3t+2

Step-by-step explanation:

khan said so

Answer:

x=5

Step-by-step explanation:

10+2x -4= 2x+1+x

6+2x=3x+1

6=x+1

5=x

Answer:

$3

Step-by-step explanation:

If we use proportional reasoning, 3x = 1.50

6x is double of 3x so it only makes sense we should double 1.50 therefore,

6x = 3.

The Laplace transform of the piecewise function f(t) is given by:

\(L{f(t)} = (1/s^2) - (2/s),\) 0 ≤ t < 2, and 0, t ≥ 2.

The Laplace transformation of the given piecewise function f(t) can be determined in two parts.

For 0 ≤ t < 2, we apply the linearity property of the Laplace transform to each term separately. The Laplace transform of \((t - 2) is (1/s^2) - (2/s).\)

For t ≥ 2, the function is defined as f(t) = 0. In this case, the Laplace transform of a constant multiplied by 0 is simply 0.

To summarize, the Laplace transformation of the piecewise function f(t) = (t - 2), 0 ≤ t < 2, and f(t) = 0, t ≥ 2 can be expressed as:

\(L{f(t)} = (1/s^2) - (2/s),\) 0 ≤ t < 2, and 0, t ≥ 2.

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Answer:

Yes, This is a repeating decimal

No, This is a decimal that neither terminates or repeats

No, This is a decimal that neither terminates or repeats

Yes, This is a terminating decimal

The each random variable has one and only one variance.

Yes, it is reasonable to say that each random variable has one and only one variance. Variance is a measure of the spread of a random variable's distribution, and is defined as the average of the squared deviations from the mean. Since each random variable has a specific distribution and a specific mean, it will also have a specific variance. Therefore, each random variable has one and only one variance.

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Answer:

8 m

Step-by-step explanation:

Applying,

A = bh/2................ Equation 1

Where A = Area of the triangle, b = base of the triangle, h = height of the triangle.

Since the triangle is an isosceles triangle.

Then,  b = h

Assuming, b = y m

Given: A = 16 m²

Substitute these values into equation 1

16 = (y×y)/2

16 = y²/2

y² = 16×2

y² = 32

y = √32

y = 4√2 m

Therefore,

b =  4√2 m and h =  4√2 m

Applying pythagoras theorem, to get the length of the fence enclosing the paddock

a² = b²+c²

a² = (4√2)²+(4√2)²

a² = 32+32

a² = 64

a = √64

a = 8 m

Hence the length of the fence enclosing the paddock is 8 m

Answer:

It is increasing before x=-2 and from x=0 to x=2

Answer:

The vertex of the graph is at the point (-3, -2).

Step-by-step explanation:

The graph of the function F(x) = |x+3| - 2 will have a vertex at the point where the graph changes direction.

This occurs when the derivative of the function is equal to zero.

To find the derivative of the function F(x) = |x+3| - 2, we can use the following steps:

Since the derivative is equal to zero at x = -3, the vertex of the graph is at the point (-3, -2).

Answer:

true

Step-by-step explanation:

a. The mean, median and mode for this plot are 70.8, 70 and 60 respectively.

b. Mean best represents the data for this plot.

c. When there are outliers, the mean might be a deceptive center tendency measure.

Mean, Median, and Mode

Mean = Sum of prices / Total number of sunglasses

Mean = (20 + 20 + 50 + 50 + 50 + 60 + 60 + 60 + 60 + 60 + 60 + 70 + 70 + 70 + 80 + 80 + 80 + 80 + 90 + 90 + 90 + 90 + 100 + 100 + 130) / 25

Mean = 70.8

Median is equal to (n/2 + 1) when n is an odd number.

Here, the number of sunglasses is represented by n.

⇒ (25/2 + 1)th term is the median

Median = 13th term

Median = 70

Mode is the most frequent data from the plot.

⇒ Mode = 70

Mean Being the Best Central Measure

The mean is often the ideal measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data are normally distributed. So, mean here denotes the typical cost of the sunglasses.

Misleading Measure

When there are outliers, the data mean is significantly impacted. As a result, it may be inaccurate when examining the data's average price.

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Answer:

8,6 2,11 7,21

Step-by-step explanation:

easy peasy

The price per can has been lowered by R2, making the standard can cost R7.

A mathematical assertion that establishes the equivalence of two expressions is known as an equation. It is made up of two sides, a left and a right side, separated by the equal sign (=). The equation, which is typically used to determine an unknown variable's value, requires that the values on both sides be equal. Exponents, logarithms, multiplication, division, addition, subtraction, and other mathematical operations can all be used in equations.

given

Let's say that the standard price per can is "x" Rand.

The revised price is (x-2) Rands if the price is decreased by R2.

The issue is that 14 cans are being offered for the customary price of 10 cans. Thus, we can construct the equation:

10x = 14(x-2) (x-2)

After finding x, we obtain:

10x = 14x - 28

-4x = -28

x = 7

The price per can has been lowered by R2, making the standard can cost R7.

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The demonstration of the equation is an illustration of probability

The complete demonstration of the equation is: 2/52 = 2/4 * 4/52

In a standard deck, we have the following parameters:

Event A = Black card = 26

Event B =  Kings = 4

Number of cards = 52

So, the probability that a card is black and a king is:

P(A and B) = P(A) * P(B)

This gives

P(A and B) = 26/52 * 4/52

Simplify

P(A and B) = 2/4 * 4/52

Evaluate the product

P(A and B) = 2/52

So, the complete demonstration of the equation is:

2/52 = 2/4 * 4/52

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Answer:

I am awesome at these!!

Step-by-step explanation:

Only the last one is a function. This is because there are no repeating x values, which are the first numbers. It is okay for there to be repeating y values, but not x.

The distributive law explains the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac.

The distributive property describes an operation's capacity to distribute over other mathematical operations contained within brackets.

The distributive property of multiplication over addition or multiplication over subtraction might both be present. The distributive property of multiplication over addition is expressed as

= A × (B + C) = AB + AC.

Let us verify this property with the help of an example. The expression 2(1 + 4) using the distributive law of multiplication over addition.

= 2(1 + 4) = (2 × 1) + (2 × 4)

= 2 + 8 = 10

Your information isn't well written and an overview was given.

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Answer: 10

Step-by-step explanation:

6-5 = 1

-2 x 1 = -2

-2 x -5 = 10

Prime factorization involves rewriting numbers as products

The HCF and the LCM of 1848, 132 and 462​ are 66 and 1848 respectively

The numbers are given as: 1848, 132 and 462

Using prime factorization, the numbers can be rewritten as:

\(1848 = 2^3 * 3 * 7 * 11\)

\(132 = 2^2 * 3 * 11\)

\(462 = 2 * 3 * 7 * 11\)

The HCF is the product of the highest factors

So, the HCF is:

\(HCF = 2 * 3 * 11\)

\(HCF = 66\)

In (a), we have:

\(1848 = 2^3 * 3 * 7 * 11\)

\(132 = 2^2 * 3 * 11\)

\(462 = 2 * 3 * 7 * 11\)

So, the LCM is:

\(LCM = 2^3 * 3 * 7 * 11\)

\(LCM = 1848\)

Hence, the HCF and the LCM of 1848, 132 and 462​ are 66 and 1848 respectively

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Answer:

13

Step-by-step explanation:

It would have to be 13, because if you look at the top of the shape, you see the little 45 degrees. You can also see the 90 degrees right angle. Triangles no matter what add up to 180 degrees.

(a is the unknown angle in the bottom right)

90+45+a=180

45+a=90

a=45

now that we have that , we know that it has to be symmetrical.

so it can only be 13

hope this helps!

The level of a independent variable known to as the "Control group" is designed to portray a neutral state.

The cause is the independent variable. Its value is unaffected by the other study variables.

You plan a study out whether variations in the room's temperature have an impact on students' math test results.

Consequently, "control group" refers to a level of such an independent variable that is meant to stand in for "no treatment" or a neutral circumstance.

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The standard median value of the data set is -0.25.

The standard value of any data is the converted value of the variable, such that the mean of the data set is 0 and the standard deviation is 1.

To convert any data set to its standard form we use the equation

(X - μ)/σ

where,

μ = mean

σ = standard deviation

here,

μ = 6

σ = √64 = 8

Now median is that value which gives the midpoint of the frequencies.

Hence the standard median should be the standard value of the median obtained from the data set which is 4

Hence standard median

= (4 - 6)/8

= -2/8

= -0.25

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Chad will purchase 0.432 gallons of red and white paint.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.

Given

Dimension of the door = 18 feet by 6 feet

Area of the door = 108 square feet

1 gallon of paint covers 250 square feet

Let x gallon paint covers 108 square feet

Proportion of paint to area covered

1/250 = x/108

x = 108/250

x = 0.432

Hence, 0.432 gallons of red and white paint, Chad will purchase.

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Answer:

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

Step-by-step explanation:

Here we use the slope formula:

\(\frac{y2 - y1}{x2 - x1} = slope\)

y2 = 25

y1 = 10

x2 = 90

x1 = 40

Let's plug all of this into the equation:

Therefore, the slope is \(\frac{3}{10}x\)

Hope this helps!!

- Kay

Answer:

\(A = 118ft^2\)

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have:

\(\theta = 80\)

\(r = 13ft\) -- Radius

Required

Determine the area of the sector

Area (A) of a sector is calculated as:

\(A = \frac{\theta}{360} * \pi r^2\)

Substitute values for r and \(\theta\)

\(A = \frac{80}{360} * \pi 13^2\)

\(A = \frac{80}{360} * \pi *169\)

\(A = \frac{80*169}{360} * \pi\)

\(A = \frac{13520}{360} * \pi\)

Take \(\pi\) as \(\frac{22}{7}\)

\(A = \frac{13520}{360} * \frac{22}{7}\)

\(A = \frac{13520 * 22}{360 * 7}\)

\(A = \frac{297440}{2520}\)

\(A = 118ft^2\)-- approximated

Answer:

Step-by-step explanation:

To calculate this we use Pythagoras' theorem: a^2+b^2=c^2

in this case a=8cm, b=5cm and c=22

so we do 8^2+5^2=89

the square root of 89 is 9.4 (1 d.p)

8+5+9.4=22.4 so rounded (22), this triangle is a right-angled triangle since Pythagoras theorem has proved ABC is a right-angled triangle

Answer:

\( \boxed{ \boxed{ \sf {Marked \: price \: = Rs \: 1500}}}\)

\( \boxed{ \bold{ \boxed{ \sf{Selling \: price = \: Rs \: 1230}}}}\)

Step-by-step explanation:

Let Cost price ( C.P ) be x

Finding the Marked price and selling price

Marked price = \( \sf{x + 20\% \: of \: x}\)

⇒\( \sf{x + \frac{20}{100} \times x}\)

⇒\( \sf{ \frac{x \times 100 + 20x}{100} }\)

⇒\( \sf{ \frac{120x}{100} }\) ⇒ ( i )

Selling price = \( \sf{marked \: price \: - 18\% \: of \: marked \: price}\)

⇒\( \sf{ \frac{120x}{100} - \frac{18}{100} \times \frac{120x}{100} }\)

⇒\( \sf{ \frac{120x}{100} - \frac{54x}{250} }\)

⇒\( \sf{ \frac{120x \times 5 - 54x \times 2}{500} }\)

⇒\( \sf{ \frac{600x - 108x}{500} }\)

⇒\( \sf{ \frac{492x}{500} }\) ⇒ ( ii )

Finding the value of x ( Cost price )

\( \sf{loss = cost \: price - selling \: price}\)

⇒\( \sf{20 = x - \frac{492x}{500} }\)

⇒\( \sf{20 = \frac{x \times 500 - 492x}{500} }\)

⇒\( \sf{20 = \frac{8x}{500} }\)

⇒\( \sf{8x = 10000}\)

⇒\( \sf{x = \frac{10000}{8} }\)

⇒\( \sf{x = \: Rs \: 1250}\)

Value of x ( cost price ) = Rs 1250

Now, Replacing the value of x in ( i ) in order to find the value of marked price

\( \sf{marked \: price = \frac{120x}{100} }\)

⇒\( \sf{ \frac{120 \times 1250}{100} }\)

⇒\( \sf{ \: Rs \: 1500}\)

Replacing value of x in ( ii ) in order to find the value of selling price

\( \sf{selling \: price = \frac{492 \: x}{500} }\)

⇒\( \sf{ \frac{615000}{500} }\)

⇒\( \sf{ \: Rs \: 1230}\)

Thus , Marked price of the fan = Rs 1500

Selling price of the fan = Rs 1230

Hope I helped!

Best regards!!

a. Outcomes in the sample space: {Letting the car continue without stopping, Stopping the car and issuing a warning, Stopping the car and issuing a ticket}

b. Possible events: {Letting the car continue without stopping (A), Stopping the car and issuing a warning (B), Stopping the car and issuing a ticket (C), Any combination of events A, B, and C}

c. If she issues a warning, event B has occurred.

d. Probabilities: P(A) = 1/2, P(B) = 1/6, P(C) = 1/3

We have,

a.

Outcomes in the sample space:

Letting the car continue without stopping

Stopping the car and issuing a warning

Stopping the car and issuing a ticket

b.

Possible events:

Letting the car continue without stopping (Event A)

Stopping the car and issuing a warning (Event B)

Stopping the car and issuing a ticket (Event C)

Any combination of events A, B, and C

c.

If she issues a warning to the driver of a car, the event (B) "Stopping the car and issuing a warning" has occurred.

d.

Probabilities:

Let the probability of allowing the car to continue be denoted as P(A).

The probability of issuing a warning is P(B) = (1/3)P(A).

The probability of issuing a ticket is P(C) = 2P(B) = (2/3)P(A).

Since the probabilities of all possible outcomes must sum to 1, we have:

P(A) + P(B) + P(C) = 1

Substituting the probabilities, we get:

P(A) + (1/3)P(A) + (2/3)P(A) = 1

Simplifying the equation, we find:

(6/3)P(A) = 1

2P(A) = 1

P(A) = 1/2

Therefore, the probabilities for the outcomes in the sample space are:

P(A) = 1/2

P(B) = 1/6

P(C) = 1/3

Thus,

a. Outcomes in the sample space: {Letting the car continue without stopping, Stopping the car and issuing a warning, Stopping the car and issuing a ticket}

b. Possible events: {Letting the car continue without stopping (A), Stopping the car and issuing a warning (B), Stopping the car and issuing a ticket (C), Any combination of events A, B, and C}

c. If she issues a warning, event B has occurred.

d. Probabilities: P(A) = 1/2, P(B) = 1/6, P(C) = 1/3

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Answer:

scientific notation

= 2.34e8

scientific e notation

= 234 × 106

engineering notation

million; prefix mega- (M)

= 2.34 × 108

standard form

8

Order of Magnitude

for scientific and standard forms

= 234000000

(real number)

= two hundred thirty-four million

word form

Step-by-step explanation: