Write an equation for H, the number of times Noah’s beats in m minutes?
Answers
The equatiοn fοr H, the number οf times Nοah’s beats in m minutes is H = k * m
What is the equivalent expressiοn?Expressiοns that perfοrm the same functiοn regardless οf appearance are said tο be equivalent. If twο algebraic expressiοns are equivalent, then they have the same value when the same variable value is used.
Assuming yοu meant "Nοah's heart beats", the equatiοn fοr H, the number οf times Nοah's heart beats in m minutes can be given by:
H = k * m
where k is a cοnstant that represents the number οf heartbeats per minute.
The value οf k may vary depending οn the individual and their physical cοnditiοn.
Hence, the equatiοn fοr H, the number οf times Nοah’s beats in m minutes
is H = k * m
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Complete Question;
A persons resting heart rate is typically between 60 and 100 beats per minute. Nοah looks at his watch, and counts 8 heartbeats in 10 seconds.
Is his heart rate typical? Explain how you know.
Write an equation for h, the number of times Noahs heart beats (at this rate) in m minutes.
Related Questions
Please helppppppppppppp
Answers
Answer:
the 5th diagram illustrates
You flip a coin 8 times and get tails 6 times. Based on this experiment, what is the probability of flipping a coin and getting heads?
Answers
Answer:
1/4
Step-by-step explanation:
If you get 6 tails, then that means you got 2 heads. 8-6=2.
probability= 2/8=1/4 based on this experiment.
\( \frac{ \zeta(2)}{2} - \frac{ \zeta(3)}3 + \frac{ \zeta(4)}{4} - \frac{ \zeta(5)}{5} + \cdots \cdots \\ \)
Answers
Recall the Weierstrass product definition of the gamma function,
\(\displaystyle \frac1{\Gamma(z)} = ze^{\gamma z} \prod_{n=1}^\infty \left(1+\frac zn\right) e^{-z/n}\)
from which we can obtain the log-gamma (i.e. logarithm of gamma) function,
\(\displaystyle -\ln\Gamma(z) = \ln(z) + \gamma z + \sum_{n=1}^\infty \left(\ln\left(1 + \frac zn\right) - \frac zn\right)\)
where \(\gamma\) is the Euler-Mascheroni constant.
Let \(z=1\), so that
\(\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n - \ln\left(1 + \frac 1n\right)\right)\)
Recall the power series
\(\displaystyle \ln(1 + x) = - \sum_{n=1}^\infty \frac{(-x)^n}n\)
Along with the definition of the Riemann zeta function,
\(\displaystyle \zeta(a) = \sum_{b=1}^\infty \frac1{b^a}\)
we find that
\(\displaystyle \gamma = \sum_{n=1}^\infty \left(\frac1n + \sum_{m=1}^\infty \frac1m\left(-\frac1n\right)^m\right) \\\\ ~~~~ = \sum_{n=1}^\infty \sum_{m=2}^\infty \frac1m \left(-\frac1n\right)^m \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m}m \sum_{n=1}^\infty \frac1{n^m} \\\\ ~~~~ = \sum_{m=2}^\infty \frac{(-1)^m \zeta(m)}m\)
so the original sum's value is \(\boxed{\gamma\approx0.577216}\).
Santos Company provided the following information for 2022:
Common Stock Outstanding 100,000 shares
Convertible Preferred, Total Par Value $50,000; Dividend Rate 4%; Convertible into 1,900 Common Shares Dividend Declared & Paid
Stock Options – A Exercise Price $12; Average Market Price $11; 3,000 Options
Stock Options – B Exercise Price $7; Average Market Price $8; 4,000 Options
Convertible Bonds, 5%, Face Value $1,000,000; Convertible into 40,000 Common Shares
Tax Rate 30%
Net Income $120,000
Round to nearest two decimal places.
Part A: Complete all steps to determine EPS to be reported including:
1. Computation of Basic EPS
2. Individual dilution/anti-dilution with decision making
3. Ranking of potential dilutors
4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.
Part B: Partial Financial Statement Presentation of EPS for this company for the current year (2022) with a proper heading. Start your partial statement with Net Income.
Reminder: You must show all supporting computations
Answers
Answer:
Part A:
1. Computation of Basic EPS
Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares Outstanding²
Net Income = $120,000
Preferred Dividends = 4% x $50,000 = $2,000
Weighted Average Shares Outstanding = 100,000 (assuming no change in common stock during the year)
Basic EPS = ($120,000 - $2,000) / 100,000
Basic EPS = $1.18
2. Individual dilution/anti-dilution with decision making
We need to check if any of the convertible securities or stock options are dilutive or anti-dilutive by comparing their impact on EPS with the basic EPS.
Convertible Preferred: Each preferred share can be converted into 1.9 common shares (1,900 / 1,000). The conversion would increase the common shares outstanding by 1,900 and decrease the preferred dividends by $2,000.
EPS after conversion = ($120,000 - $0) / (100,000 + 1,900)
EPS after conversion = $1.16
Since this is lower than the basic EPS of $1.18, the convertible preferred is dilutive and should be included in the diluted EPS calculation.
Stock Options - A: Each option can be exercised at $12 to buy one common share when the average market price is $11. This means that the options are out of the money and would not be exercised by the holders. Therefore, they have no impact on EPS and are anti-dilutive.
Stock Options - B: Each option can be exercised at $7 to buy one common share when the average market price is $8. This means that the options are in the money and would be exercised by the holders. The exercise would increase the common shares outstanding by 4,000 and generate cash proceeds of $28,000 ($7 x 4,000). The cash proceeds can be used to buy back some common shares at the market price of $8. The number of shares bought back is 3,500 ($28,000 / $8). The net increase in common shares outstanding is 500 (4,000 - 3,500).
EPS after exercise = ($120,000 - $2,000) / (100,000 + 500)
EPS after exercise = $1.17
Since this is lower than the basic EPS of $1.18, the stock options - B are dilutive and should be included in the diluted EPS calculation.
Convertible Bonds: Each bond can be converted into 40 common shares (40,000 / 1,000). The conversion would increase the common shares outstanding by 40,000 and decrease the interest expense by $50,000 ($1,000,000 x 5%). The interest expense is net of tax, so we need to multiply it by (1 - tax rate) to get the after-tax amount. The tax rate is 30%.
EPS after conversion = ($120,000 - $2,000 + $50,000 x (1 - 0.3)) / (100,000 + 40,000)
EPS after conversion = $1.19
Since this is higher than the basic EPS of $1.18, the convertible bonds are anti-dilutive and should be excluded from the diluted EPS calculation.
3. Ranking of potential dilutors
We need to rank the potential dilutors from the most dilutive to the least dilutive based on their impact on EPS.
The most dilutive security is the convertible preferred with an EPS of $1.16.
The second most dilutive security is the stock options - B with an EPS of $1.17.
The least dilutive security is the convertible bonds with an EPS of $1.19.
4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.
We need to include the potential dilutors in order of their dilution until we reach a point where the next security would be anti-dilutive.
The first security to include is the convertible preferred.
EPS with convertible preferred = ($120,000 - $0) / (100,000 + 1,900)
EPS with convertible preferred = $1.16
The next security to include is the stock options - B.
EPS with stock options - B = ($120,000 - $0) / (100,000 + 1,900 + 500)
EPS with stock options
Which set of ordered pairs represents y as a function of X?
A {(-3,-1), (2, -1),(5,2)}
® {(-3,-1), (2, 2), (-3,2)}
© {(-3,-1),(5,2), (-3,2)}
D {(-3,-1), (2, 2), (2,5)}
Answers
Answer:
A
Step-by-step explanation:
A. Here is why:
In a function, each x maps to exactly one value of y.
In B and C, x = -3 maps to both -1 and 2, is they are not functions.
2. Suppose the price of good x increased from 4 birr to 5 birr. Because of change price of good x, quantity demand of good y changed from 5,000 to 6,250. a. Find cross price elasticity of demand b. What types of goods (good x and good y) are?
Answers
Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.
Let's calculate the cross-price elasticity of demand using the given information:
a. Find the percentage change in quantity demanded of good Y:
Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100
Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%
b. Find the percentage change in the price of good X:
Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100
Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%
Now, we can calculate the cross-price elasticity of demand:
Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X
Cross-Price Elasticity of Demand = 25% / 25% = 1
b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:
If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.
Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.
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Answer:
Step-by-step explanation:
How to find the area of the shape on the right
Answers
Answer:
19 units²
Step-by-step explanation:
First, divide the shape into two triangles, find the area of those triangles, and then add the areas together.
Big Triangle:
1/2bh
1/2 6(5)
1/2 30
15
Little Triangle
1/2bh
1/2 2(4)
1/2 8
4
Total Area:
15 + 4 = 19 units squared
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answers
Answer:
the answer is b, c, d, a, respectively
Jane and Lilian have breakfast at a new café downtown. The cost of their meals is $27.50. They want to leave a 16% tip. How much tip will they leave?
Explain your answer
Answers
Answer:
$4.40.
Step-by-step explanation:
$27.50 × 16/100
=$4.40
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 409 gram setting. It is believed that the machine is underfilling the bags. A 21 bag sample had a mean of 401 grams with a standard deviation of 26. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answers
Answer:
The decision rule is to Reject H0 if Z ≤ -1.282
Step-by-step explanation:
We are given;
Population mean; μ = 409 g
Sample mean; x¯ = 401 g
Sample size; n = 21
Standard deviation; s = 26
Let's define the hypotheses;
Null hypothesis; H0: μ = 409 g
Alternative hypothesis; Ha : μ ≠ 409 g
Formula for test statistic is;
z = (x¯ - μ)/(s/√n)
z = (401 - 409)/(26/√21)
z = -1.410
z-value is negative and thus this is a lower tail test.
At significance level of 0.1, the critical value is -1.282.
Thus, the decision rule is;
Reject H0 if Z ≤ -1.282
Right triangle with a hypotenuse of 159 ft and Angle A = 34 degree
Calculate the length of the sides they should be rounded to the nearest whole foot. The rounded for the legs (side) should be used to calculate the area of the triangle
Answers
the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
Given: The hypotenuse of the right triangle,
c = 159 ft; angle A = 34°
We know that, in a right-angled triangle:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$\)
We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)
\({\text{adjacent}}$$\) Length of side a is:
\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)
Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:
\($$\text{Area} = \frac{1}{2}ab$$\)
Putting the values of a and b:
\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)
Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
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en una feria venden 8 plátano al mismo precio que 6 duraznos, 4 duraznos lo mismo que 10 nísperos. Una docena de nísperos al mismo precio que 2 piñas, si 10 piñas cuestan S/.320, ¿cuánto pagaré por 2 plátanos, 3 duraznos y una piña?
Answers
You will pay S/.80 for 2 bananas, 3 peaches, and a pineapple.
How to solveLet the price of a banana be b, a peach p, a medlar m, and a pineapple P in Peruvian soles.
From the information, 8b=6p, 4p=10m, 12m=2P, and 10P=S/.320.
From these equations, we have p=4b/3, m=p/2=2b/3, and P=6m=4b.
Substituting for P, 10(4b)=320, so b=8. Hence, p=32/3, m=16/3, and P=32.
For 2 bananas, 3 peaches and a pineapple, the total cost is 2b+3p+P = 2(8) + 3(32/3) + 32 = 16 + 32 + 32 = S/.80.
Therefore, you will pay S/.80 for 2 bananas, 3 peaches, and a pineapple.
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The Question in English
At a fair they sell 8 bananas at the same price as 6 peaches, 4 peaches the same as 10 medlars. A dozen medlars at the same price as 2 pineapples, if 10 pineapples cost S/.320, how much will I pay for 2 bananas, 3 peaches and a pineapple?
What is the value of n?
Enter your answer in the box.
n= ____m
Answers
The value of n, considering the intersecting chords in the circle, is given as follows:
n = 6m.
What is the chord of a circle?A chord of a circle is a straight line segment that connects two points on the circle. Specifically, it is a line segment whose endpoints are on the circle. A chord is often denoted by drawing a line segment between the two endpoints, with the segment passing through the interior of the circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Considering the two intersecting chords for the circle in this problem, the value of n is obtained as follows:
5n = 15 x 2
5n = 30
n = 30/6
n = 6m.
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Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
Answers
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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If the end behavior is increasing to the left, what might be true about the function? Select all that apply.
Select all that apply:
O The degree is even and the leading coefficient is positive.
he
The degree is even and the leading coefficient is negative.
0 The degree is odd and the leading coefficient is positive.
O The degree is odd and the leading coefficient is negative.
Answers
Answer: the degree is even and the leading coefficient is positive
Step-by-step explanation:
If the function is increasing to the left and falls to the right,
Leading coefficient of the function will be negative and the degree of the function will be Odd.
Similarly, if the function is increasing to the right and falls to the left,
Leading coefficient of the function will be positive and the degree of the function will be Odd.
Therefore, Option (4) will be the correct option.
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Convert 4
3
5
cups to pints.
2 cups = 1 pint PLEASE HELP!
Answers
Answer:
4 cups=2 pint
3 cups=1.5 pint
5 cups=2.5 pints
Step-by-step explanation:
Because there are 2 cups in each pint, we can divide the number of cups by two to get the number of pints.
4/2=2
3/2=1.5
5/2=2.5
Let me know if you have any questions!
A painter leans a ladder up against a wall. The ladder is 25 feet long and the wall is 15 feet high. How far from the wall is the base of the ladder?
Answers
Answer:
12 feet
Step-by-step explanation:
The ladder is 12 feet up the wall.
The ladder forms a right triangle with the wall and the ground. You want to use Pythagorean theorem to solve the problem. a2+b2 = c2
Use the Pythagorean Theorem (a2+b2=c2) where b=9 and c=15. Solve for a.
(hope this helps can i plz have brainlist :D hehe)
} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
Answers
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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solve (x - 3)^2 = 5 p
please help
Answers
Hello!
Let's solve !
⇒ (x - 3)² = 5
⇒ x² - 6x + 9 = 5
⇒ x² - 6x + 4 = 0
⇒ x = -(-6) ± √36 - 4(1)(4) / 2
⇒ x = 6 ± √20 / 2 = 6 ± 2√5 / 2
⇒ x = 3 ± √5
∴ The solutions are x = 3 + √5 and x = 3 - √5.
Answer:
p=(x−3)25
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(x-3)^2-(5*p)=0
STEP1:
1.1 Evaluate : (x-3)2 = x2-6x+9
Equation at the end of step1:
x2 - 6x - 5p + 9 = 0
STEP2:
Solving a Single Variable Equation:
2.1 Solve x2-6x-5p+9 = 0
What is the slope of the line through (-5, -10) and (-1, 5)
Answers
Answer:
Slope = 15/4
Step-by-step explanation:
Use the slope formula and you'll get the same answer.
Hope this helps:)
four scenarios of statistical studies are given below. decide which study uses a sample statistic1. the average finish time for the ironman, kona was 11:32 for the 1883 finishers, with an average swim time of 1:14, an average bike time of 5:53, and an average run time of 4:142. an estimated 15% of americans don’t use the internet 3. parkland hospital performs 15,000 births a year. of 1,000 subjects in a study on multiple births, 38 gave birth to twins 4. a poll of the entire student body found that 32% of students at wilson abner college voted in the last presidential election
Answers
A statistical sample (or a sample) is a subset of elements of the statistical population. A statistical sample will represent the totality of subjects. Therefore, the study that uses a sample statistic is:
Parkland hospital performs 15,000 births a year. of 1,000 subjects in a study on multiple births, 38 gave birth to twins, because it uses a sample of 1000 subjects out of a total population of 15000.
Answer: 3. parkland hospital performs 15,000 births a year. of 1,000 subjects in a study on multiple births, 38 gave birth to twins
In the slope ratio, the change in the X-coordinates from one point to another on a line is the________.
A. Prortional relationship
B. Slope
C. Rise
D. x2- x1
E. Run
F.y2 - y1
Answers
Answer:
A. if not then b.
Step-by-step explanation:
The change in the X - coordinates from one point to another on a line is given by x₂ - x₁ = Δx.
What is ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.We have the change in the X - coordinates from one point to another on a line.
In a slope ratio, the change in the X - coordinates from one point to another on a line can be represented as -
x₂ - x₁ = Δx
Therefore, the change in the X - coordinates from one point to another on a line is given by x₂ - x₁ = Δx.
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I need help this is 6-4 ex use dot....
Answers
Based on the dot plots, it appears that students generally did more push-ups this year than last year.
The range of the push-ups completed this year is 12, while the range of the push-ups completed last year is only 10.
How to explain the informationThis means that there is a greater spread of values in the data set for this year, with some students completing many more push-ups than others. In the data set for last year, the values are more evenly distributed, with most students completing between 5 and 10 push-ups.
The range of a data set affects the shape of the dot plot by determining how spread out the values are. A wide range will result in a dot plot that is more spread out, while a narrow range will result in a dot plot that is more compact. In the case of the push-up data, the wider range of values for this year results in a dot plot that is more spread out than the dot plot for last year.
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Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
A. 2 hours
B. 3 hours
C. 20 hours
D. 30 hours
Answers
Need help with graphing
Answers
vertex: (-4,-7)
x intercepts: (-5.5,0), (-2.5, 0)
and those two other points
the graph should look something like this:
Write an equation of the line that passes through the point (4, –5) with slope 2.
A. y−4=2(x+5)
B. y−4=−2(x+5)
C. y+5=2(x−4)
D. y+5=−2(x−4)
Answers
After answering the provided question, we can conclude that The slope answer is not listed as a choice, but this is the correct equation.
what is slope?In mathematics, slope is the slope of the regression of a line or curve. It is a measure of the degree to which a function's y-value varies once the x-value changes. A line's slope is usually expressed as a letter m and is able to be calculated as follows: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) is some two important points on the line. The slope of a line can be favorable, negative, equal to 0, or unknown. A positive slope means the line rises up from left to right, whereas a slope means the line falls back from left to right.
To find the equation of the line passing through the point (4,-5) with slope 2, we can use the point-slope form of the equation of a line.
y - y1 = m(x - x1)
y - (-5) = 2(x - 4)
y + 5 = 2x - 8
y = 2x - 13
y = 2x - 13
The answer is not listed as a choice, but this is the correct equation.
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n/10 + 8 = 12. Mental Math Solve the equation
Answers
Answer:
= 4 0
Step-by-step explanation:
/ 1 0 + 8 =1 2
/1 0+ 8 − 8 = 1 2 − 8
SIMPLIFY
1 0 = 4
Multiply all terms by the same value to eliminate fraction denominators
1 0 = 4
1 0 ⋅ /1 0= 1 0 ⋅ 4
Simplify
n=40
A fruit stand sells apples and oranges.
The cost of 1 apple is $0.50.
Catherine bought 6 apples and 10 oranges.
Catherine spent a total of $10.00 at the fruit stand.
How much does 1 orange cost at the fruit stand?
Answers
Answer:
10x + 6(0.5) = 10
Step-by-step explanation:
1) We know that there are 6 apples, each costing $0.50
We can write this portion of the equation as 6(0.5)
2) There are 10 oranges, but we don't know the amount they each cost
We can write this portion of the equation as 10x
x= amount each orange costs
3) The total will add up to $10
10x oranges + 6($0.5) apples = $10.00
When Tony lends Tina 60p, she owes him 10 + 60 = 70p. So now, Tina must pay Tony 70p to square things up.
Answers
If Tony lends Tina 60p, she now owes him 60p, not 10 + 60 = 70p.
To square things up, Tina must pay Tony 60p to repay the loan.
Answer
Tina needs to pay Tony 70p still
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a time without replacement. What is the probability that exactly 2 fakes are selected before the second real diamond is selected
Answers
Answer:
Step-by-step explanation:
The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270
Now selecting 2 gems from 25 is 25C2
25 C 2 = 25 * 24/2 = 300
Selecting one good gem is 10
Total selection = 300 * 10 = 3000
P(gems) = 3000 / 39270
P(gems) = 300/3927
P(gems) = 100/1309