4. Tori bought x shares of Mattel stock for m dollars per share. She soldall of the shares months later for y dollars per share. Express her cap-
ital gain or loss algebraically.

Answers

Answer 1

Answer:

Answer:

mx = y

y = mx

Step-by-step explanation:

If she pays m per share, and x represents each share, you will multiply m and x.If she sold all them for the value of y. Then you set mx equal to y.

mx = y

y = mx

Answer 2

Answer:

Final answer:

The initial investment Tori made is represented as 'mx'. She then sold the shares and received 'xy'. Her capital gain or loss can be calculated by subtracting the initial investment from the final sum, expressed as: G = xy - mx.

Explanation:

This question deals with the basic principles of algebra and arithmetic to quantify the gain or loss incurred by Tori.

Initially, Tori spent m dollars for each share, and she bought x shares. So, the total amount of money spent by Tori would be m*x.

Subsequently, she sold the shares for y dollars each. Hence, the total sum she got back would be x*y.

Therefore, Tori's capital gain or loss can be calculated by subtracting the initial investment from the final returned sum. This can be mathematically expressed as: G = xy - mx where G represents gain or loss (if positive, it's gain; if negative, it's loss).

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I WILL GIVE BRAINLIEST TO RIGHT ANSWER: The length of a bridge on a map is 1.5 cm. What is the actual length of the bridge in meters if the map is drawn at a scale of 1 : 40,000.

Answers

Answer: 600 m

Step-by-step explanation:

Imagine we have measured a distance as 1.5 cm on this map, and we want to find out how far this is in real life.

To work out the distance in real life, we need to multiply this length by 40,000.

This gives 1.5 cm × 40,000 = 60,000 cm which is 600 m or 0.6 km.

Sol b : Alternatively, we could have just remembered that each 1 cm on the map is 0.4 km in real life.

Hence, 1.5 cm on the map must be 1.5 × 0.4 km = 0.6 km in real life.

The amount of time a passenger waits at an airport check-in counter is random variable with mean 10 minutes and standard deviation of 2 minutes. Suppose a random sample of 50 customers is observed. Calculate the probability that the average waiting time waiting in line for this sample is (a) less than 10 minutes (b) between 5 and 10 minutes

Answers

Answer:

(a) less than 10 minutes

= 0.5

(b) between 5 and 10 minutes

= 0.5

Step-by-step explanation:

We solve the above question using z score formula. We given a random number of samples, z score formula :

z-score is z = (x-μ)/ Standard error where

x is the raw score

μ is the population mean

Standard error : σ/√n

σ is the population standard deviation

n = number of samples

(a) less than 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Therefore, the probability that the average waiting time waiting in line for this sample is less than 10 minutes = 0.5

(b) between 5 and 10 minutes

i) For 5 minutes

x = 5 μ = 10, σ = 2 n = 50

z = 5 - 10/2/√50

z = -5 / 0.2828427125

= -17.67767

P-value from Z-Table:

P(x<5) = 0

Using the z table to find the probability

P(z ≤ 0) = P(z = -17.67767) = P(x = 5)

= 0

ii) For 10 minutes

x = 10 μ = 10, σ = 2 n = 50

z = 10 - 10/2/√50

z = 0 / 0.2828427125

z = 0

Using the z table to find the probability

P(z ≤ 0) = P(z < 0) = P(x = 10)

= 0.5

Hence, the probability that the average waiting time waiting in line for this sample is between 5 and 10 minutes is

P(x = 10) - P(x = 5)

= 0.5 - 0

= 0.5

If A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9 find the value of X

Answers

Therefore, the value of x is -4 if A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9.

What is equation?

An equation is a mathematical statement that shows the equality of two expressions. It is composed of two sides, separated by an equals sign (=), indicating that the two sides are equivalent in value. An equation may contain variables, which are unknown values represented by letters, as well as constants, which are known values. Equations are used in many areas of mathematics and science to model and solve problems. For example, the equation y = mx + b is a linear equation that describes the relationship between the variables x and y in a straight line, where m is the slope of the line and b is the y-intercept. Equations can be solved by manipulating the variables and using mathematical operations to isolate the unknown value.

Here,

Since A = B, we know that AB = B². So, we can rewrite the equation AB = 3x - 5 as B² = 3x - 5.

Similarly, we can rewrite BC = 5x - 6 as B² = 5x - 6, and AC = 2x - 9 as A² - B² = (2x - 9) - (B^2).

Since we know that A = B, we can substitute B for A in the last equation to get:

B² - B² = (2x - 9) - (B²)

Simplifying this equation, we get:

0 = 2x - 9 - B²

Now we can substitute the equation B² = 3x - 5 into the above equation to get:

0 = 2x - 9 - (3x - 5)

Simplifying this equation, we get:

0 = -x - 4

Solving for x, we get:

x = -4

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Mr. Markle has a jar on his desk that contains 10 marbles shown. What is the likelihood that a red marble will be chosen?

Answers

10 percent chance should be the right answer

Answer:

10% or 1/10 Or very Low ..

You are trying to determine if you should accept a shipment of eggs for a local grocery store. About 4% of all cartons which are shipped have had an egg crack while traveling. You are instructed to accept the shipment if no more than 10 cartons out of the 300 you inspect have cracked eggs. What is the probability that you accept the shipment? (In other words, what is the probability that, at the most, you had 16 cartons with cracked eggs?)a. 1012.
b. 3669.
c. 5319.
d. 4681.
e. 5832.
f. 6331.