The exteriοr angle οf the pοlygοn is 15°.
What is pοlygοn?A pοlygοn has as many pairs οf interiοr and exteriοr as number οf its sides. Further each pair οf exteriοr and interiοr add up tο 180°.
Sum οf all the exteriοr angles οf any pοlygοn is 360°.
As sum οf all the interiοr angles οf the pοlygοn is 3960°.
Sum οf all pairs οf exteriοr and interiοr angles is
=> 3960°+360°=4320°
As each pair is 180° , Number οf sides οf pοlygοn = 4320/180 = 24
Sum οf exteriοr angles is always 360° and if pοlygοn is regular (i.e. all sides and angles are equal), size οf each exteriοr angle is
=> 360°/24 = 15°
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Sandesh sold 15kgs of apples for 2100rs and gained 12%. At what price per kg should he sell to gain 20% ?
As per the given percentage, Sandesh should aim to sell his apples at 250rs per kg in order to gain 20% profit.
Let C be the cost of the 15kgs of apples. Sandesh gained 12%, so his profit is 0.12C. We know that Sandesh sold the apples for 2100rs, so we can write an equation:
C + 0.12C = 2100
Simplifying this equation gives:
1.12C = 2100
Dividing both sides by 1.12 gives:
C = 1875
So Sandesh's cost for 15kgs of apples was 1875rs.
Now, we need to find the selling price per kg of apples that Sandesh should aim for in order to gain 20% profit. Let P be the selling price per kg of apples.
Since Sandesh wants to gain 20% profit, his selling price per kg of apples needs to be his cost plus 20% of his cost, or 1.2 times his cost.
So we can write another equation:
1.2C = 15P
Substituting the value of C we found earlier, we get:
1.2(1875) = 15P
Simplifying gives:
P = 250
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Please help me answer
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem. (Round your answer to four decimal places.) y' = x^2 + xy y(0) = 4
By using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429.
The Euler's method is used to estimate a numerical solution of a first-order differential equation. The formula of Euler's method is given by:
y_1 = y_0 + hf(x_0, y_0)
Where: y_1 is the next value of y after one iterationy
0 is the initial value of yy' = f(x, y)h is the step size
This method is an iterative procedure that advances the estimate of y by one step by approximating the curve using a tangent line at each point along the curve.
Given that y(0) = 4 and h = 0.2, we can use Euler's method to estimate y(1) where y(x) is the solution of the initial-value problemy' = x2 + xy, y(0) = 4
Using Euler's method with a step size of 0.2, we get:
1) When x = 0, y = 4
y_1 = y_0 + hf(x_0, y_0) = 4 + 0.2(0 + 4(0))= 4.02
When x = 0.2, y = 4.02
y_2 = y1 + hf(x_1, y_1) = 4.02 + 0.2(0.2^2 + 0.2(4.02))= 4.10523
When x = 0.4, y = 4.1052
y_3 = y_2 + hf(x_2, y_2) = 4.1052 + 0.2(0.4^2 + 0.4(4.1052))= 4.1994144
When x = 0.6, y = 4.1994
4 = y_3 + hf(x_3, y_3) = 4.1994 + 0.2(0.6^2 + 0.6(4.1994))= 4.3032545
When x = 0.8, y = 4.3033
y_5 = y_4 + hf(x_4, y_4) = 4.3033 + 0.2(0.8^2 + 0.8(4.3033))= 4.4174496
When x = 1, y = 4.4174
y_6 = y_5 + hf(x_5, y_5) = 4.4174 + 0.2(1^2 + 1(4.4174))= 4.5429404
Therefore, using Euler's method with a step size of 0.2, we estimate that y(1) = 4.5429 (rounded to four decimal places).
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write the hypotheses to test if the success rate for art at this clinic is significantly higher than the success rate reported by the cdc.
In contrast to the CDC's reported success rate, the success rate for art at this clinic is substantially greater.
what is null hypothesis ?A claim or assumption that there is no statistically significant difference between two populations or sets of data is known as the null hypothesis. It serves as the beginning point for statistical hypothesis testing and is typically indicated as H0. According to the null hypothesis, any observed difference between the populations or data sets is the result of sampling error or random chance rather than a genuine difference.
given
The success rate for art at this clinic is not statistically different from the CDC's claimed success rate.
In contrast to the CDC's reported success rate, the success rate for art at this clinic is substantially greater.
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D. On désire connaître la quantité de moulure dont on a besoin pour encadrer un tableau. Aire ou Périmètre
Answer:
Step-by-step explanation:
Perimeter
Pls mark me brainliest
JAR
N
Q
Cost (dollars)
0
cost of the tickets in dollars.
32 Each ticket to ride a carousel costs $2 50. The table st
relationship between x, the number of tickets bought, -
Y
8 10
Number of Tickets
LA COORDINATE PLANE
Carousel Rides
Number of Tickets, x
1
5
2
3
Carousel Rides
which graph best represents the data shown in the table?
Carousel Rides
Carousel Rides
Cost (dollars)
DO
6
6
Cost (dollars)
12
0
Cost, y (dollars)
2.50
5.00
7.50
12.50
4
2
6
Number of Tickets
Carousel Rides
12
Answer:
N
Q
Cost (dollars)
0
cost of the tickets in dollars.
32 Each ticket to ride a carousel costs $2 50. The table st
relationship between x, the number of tickets bought, -
Y
8 10
Number of Tickets
LA COORDINATE PLANE
Carousel Rides
Number of Tickets, x
1
5
2
3
Carousel Rides
which graph best represents the data shown in the table?
Carousel Rides
Carousel Rides
Cost (dollars)
DO
6
6
Cost (dollars)
12
0
Cost, y (dollars)
2.50
5.00
7.50
12.50
4
2
6
Number of Tickets
Carousel Rides
12
Step-by-step explanation:
Based on the data given in the table, the graph that best represents the relationship between the number of tickets bought and the cost of riding the carousel is the one that shows a linear relationship between the two variables.
The table shows that for each ticket bought, the cost of riding the carousel increases by $2.50. This means that the relationship between the number of tickets bought and the cost of riding the carousel is linear, with a slope of $2.50.
Therefore, the graph that best represents this relationship is the one that shows a straight line with a slope of $2.50 passing through the points (1, $2.50) and (5, $12.50). This graph is represented by the option labeled "Carousel Rides" with the x-axis showing the number of tickets bought and the y-axis showing the cost in dollars.
Offering brainliest
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The zero product property, says that if a product of two real numbers is 0, then one of the numbers must be 0.
a. Write this property formally using quantifiers and variables.
b. Write the contrapositive of your answer to part (a).
c. Write an informal version (without quantifier symbols or variables) for your answer to part (b).
The zero product property states that if the product of two real numbers is 0, then one of the numbers must be 0.
The contrapositive of the above answer is "If neither of the numbers is 0, then the product is not 0."
In other words, if two non-zero numbers are multiplied, then the result is non-zero.
a) We can use the zero-product property to factorize the expression as an example of[tex](x - 2) (x - 3) = 0[/tex], and obtain the two roots of the equation, [tex]x = 2[/tex]and [tex]x = 3[/tex]. Therefore, the zero-product property is a powerful tool that allows us to solve complex problems and equations involving algebraic expressions and real numbers.
b) A non-zero product can only be obtained by multiplying two non-zero numbers. So, if the product is zero, then at least one of the factors must be zero as well. This is the informal version of the contrapositive of the zero product property.
c)The zero product property is an essential concept in algebra that involves the understanding of real numbers and their product. It is widely used in algebra and calculus to solve equations and expressions that involve polynomial functions, quadratic equations, and exponential functions.
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How to find the missing side of a triangle using the Law of Sines?
Step-by-step explanation:
the law of sine is
a/sin(A) = b/sin(B) = c/sin(C)
a, b, c are the sides. A, B, C are the corresponding opposing angles.
you fill in what you know and then solve for what you don't know. these are just regular equations. you multiply or divide or add or subtract the same things on both sides and try to get the missing side isolated on one side of an equation.
20x50= ?
Please answer me!
Answer:
1,000
Step-by-step explanation:20*50
A-1 chemical supply pays sam sanchez a $1950 monthly salary plus a 3% commission on merchandise he sells each month. assume Sam's sales were $46,400 for last month
Answer:
Sam's commission for last month can be calculated as follows:
Commission = 3% of sales
Commission = 3/100 * $46,400
Commission = $1,392
Therefore, Sam's total income for last month would be his salary plus commission:
Total income = Salary + Commission
Total income = $1,950 + $1,392
Total income = $3,342
So Sam earned $3,342 in total for last month.
Step-by-step explanation:
Match the description with its mathematical expression. Residual from an estimated regression equation Choose the correct answer below. obo Oba o O y o bo +61 oy
We have that, the correct match of the description with its mathematical expression is provided with the mathematical expression "or".
What is the correct expression?Correct matching of the description to its mathematical expression is given as follows: The residual of an estimated regression equation is compared to the mathematical expression "or".
Explanation: A residual is the difference between the actual value of a variable and the predicted value of that variable. The residuals are denoted as "or". Therefore, the Residual of an estimated regression equation is compared to the mathematical expression "or".
Other options are incorrect as follows: Oba does not match any description given in the question. Therefore, it is a wrong option. Obo doesn't match any description given in the question. Therefore, it is a wrong option. Oy+ 61 does not match any description given in the question. Therefore, it is a wrong option.
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(HAZARD) Please help what graph represents Y=-2x+4 I will mark you the brainest
The graph of Y=-2x+4 should look like a downward sloping line that intersects the y-axis at 4.
What is intersect?The term "intersect" typically refers to the point or points where two or more things, such as lines, curves, sets, or geometrical shapes, meet or cross each other. The intersection can be described as the common elements or properties shared by the different objects or sets that intersect.
According to question:The graph of the equation Y=-2x+4 is a straight line with a slope of -2 and a y-intercept of 4. To graph this equation, you can use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
To graph Y=-2x+4, follow these steps:
Plot the y-intercept at (0,4).To locate a different point on the line, use the slope of -2. To do this, move down 2 units and right 1 unit from the y-intercept. This gives you the point (1,2).Between the two points, doodle a straight line.The graph of Y=-2x+4 should look like a downward sloping line that intersects the y-axis at 4.
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Determine wheter the given vale of the varible is a soultion of the equatiom1/3 h=6 h=2
No, the given value of h=2 is not a solution of the equation 1/3h=6.
A baseball is thrown straight upwards from the ground and undergoes a free fall motion as it rises towards its highest point. What changes, if any, would be observed of the velocity and the acceleration of the baseball as it rises towards its highest point? Pick two answers.
The velocity increases.
The velocity decreases.
The velocity remains a constant value.
The acceleration increases.
The acceleration decreases.
The acceleration remains a constant value
The baseball thrown upwards will experience a change in its velocity while its acceleration will be constant.
A type of motion known as upward motion involves an item moving up against the pull of gravity.
The opposing force of gravity causes an object to go upward with a decreasing vertical velocity as it does so. When the item reaches its maximum height, its velocity ultimately zeroes out. The velocity starts to rise as the object starts to descend and eventually reaches its highest point just before impact with the ground.
The object's acceleration during its upward motion is constant and always points downward. Hence, it follows that an item moving upwards will experience a change in velocity but not in acceleration.
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Can someone help me with this please??
Answer:
Angle CAB= 28°
Angle ABC= 45°
Angle DCA= 73°
Angle DCE=107°
Step-by-step explanation:
Does anyone know how to solve this question with a method pls.
Answer:
(a) AC = 4√2 cm
(b) AM = 2√2 cm
(c) EM = √41 cm
(d) EF = 3√5 cm
Step-by-step explanation:
You want to solve for various lengths in the right square pyramid shown with base edge 4 cm and lateral edge 7 cm.
Right trianglesEach right triangle can be solved for unknown lengths using the Pythagorean theorem: the square of the hypotenuse is the sum of the squares of the other two sides.
Right triangles of interest here are ...
ADC . . . . for finding AC and AM (isosceles right triangle)
CME . . . . for finding EM
FME . . . . for finding EF
(a) ACAC is the hypotenuse of ∆ADC, so ...
AC² = AD² +DC²
AC = √(4² +4²)
AC = 4√2 . . . . cm
(b) AMM is the midpoint of AC, so ...
AM = AC/2 = (4√2)/2
AM = 2√2 . . . . cm
(c) EMFM is half the length of one side of the base, so is 2 cm. CM = AM = 2√2.
CE² = CM² +EM²
EM = √(CE² -CM²) = √(7² -(2√2)²)
EM = √41 . . . . cm
(d) EFEF is the hypotenuse of ∆EMF.
EF² = EM² +FM²
EF = √(EM² +FM²) = √(41 +2²) = √45
EF = 3√5 . . . . cm
The table below shows the heights, in metres
(m), of three different plants.
Put the plants into ascending order based on
their height.
Plant:
Rose=59/100
Barberry=7/10
Holly:11/20
Answer please
Answer:
7/10
59/100
11/20
Step-by-step explanation:
59/100=59/100
7/10=70/100
11/20=55/100
The table shows the number of hours spent studying for a history final exam and the score on that exam. Each row represents a single student. Which value is an outlier in the table below?
Exam Scores
Number of hours spent studying, x
Exam score
(out of 100), y
1.5
65
2
68
3.5
71
4.5
98
4.5
82
6
84
6.5
88
7
85
7
80
(1.5, 65)
(3.5, 71)
(4.5, 98)
(6.5, 88)
Answer:Given : number of hours spent studying for a history final exam and the score on that exam.
To Find : Which value is an outlier
(1.5, 65)
(3.5, 71)
(4.5, 98)
(6.5, 88)
Solution:
Number of hours spent studying =x
Exam score = y
x y
1.5 65
2 68
3.5 71
4.5 98
6 82
1.5 - 2 difference = 0.5
2 - 3.5 difference = 1.5
3.5 - 4.5 difference = 1
4.5 - 6 difference = 1.5
No outlier
65 - 68 Difference 3
68 - 71 Difference 3
71 - 98 Difference 27
71 - 82 Difference 11
Hence 98 is outlier
(4.5 , 98 ) is outlier
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first quartile is 20 then semi-inter quartile range is
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Step-by-step explanation:
Ty worked 5 nights this week at an ice cream shop. He earned $23, $29, $25, and $16 in tips. The average amount he earned in tips for the 5 nights was $22. Is the amount he earned in tips on night 5 more or less than the average amount? Select the correct answer and explanation.
Ty made more money in tips on night 5 than usual because $49 is more than the standard $22 tip level.
what is equation ?A mathematical statement that demonstrates the equality of two expressions is known as an equation. Mathematical operations like addition, subtraction, multiplication, and division may be used, and it frequently involves one or more variables that are represented by letters. Equations are employed in a variety of mathematical and scientific contexts, from the solution of straightforward algebraic problems to the modeling of intricate physical systems. Finding the values of the variables that equalize both sides of the equation is necessary to solve an equation.
given
On night 5, he received the following in tips:
Total tips: ($23 + $29 + $25 + $16) multiplied by the sum of the tips from the first four nights equals $22 * 5.
Ty made more money in tips on night 5 than usual because $49 is more than the standard $22 tip level.
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Answer:
Step-by-step explanation:
Fractions Questions 2
please help me with this savvas question!
Therefore, the compound inequality for the diameter of the washers is: 3.150 ≤ d ≤ 3.240.
What is inequality?In mathematics, an inequality is a statement that compares two values or expressions, indicating that one is greater than, less than, or equal to the other. The symbols used to represent inequalities are:
">" which means "greater than"
"<" which means "less than"
"≥" which means "greater than or equal to"
"≤" which means "less than or equal to"
Inequalities can be solved by applying algebraic techniques, such as adding, subtracting, multiplying, or dividing both sides of the inequality by the same number. The solution to an inequality is a range of values that satisfy the inequality.
Here,
The formula for the circumference of a circle in terms of its diameter is:
C = πd
where π (pi) is approximately 3.14.
We are given that the acceptable range for the circumference of the washer is 9.9 ≤ C ≤ 10.2 centimeters. Substituting C = 3.14d into this inequality, we get:
9.9 ≤ 3.14d ≤ 10.2
Dividing all sides of the inequality by 3.14, we obtain:
3.15 ≤ d ≤ 3.24
Rounding to three decimal places, the corresponding interval for the diameters of the washers is:
3.150 ≤ d ≤ 3.240
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Pablo needs to memorize words on a vocabulary list for Latin class he has 12 words to memorize and he is 3/4 done how many words has Pablo memorized so far
Answer:
9 words
Step-by-step explanation:
We know
He has 12 words to memorize, and he is 3/4 done.
How many words has Pablo memorized so far?
We Take
12 x 3/4 = 9 words
So, Pable has memorized 9 words.
The data in the table below shows the average temperature in Northern Latitudes:
Estimate to the nearest whole number the average temperature for a city with a latitude of 48.
[___________]
Therefore , the solution of the given problem of mean comes out to be 15 is the solution.
What is mean?The sum of all values divided by all of the values constitutes the result from a collection, also referred to as the arithmetic mean. It is often referred to be known as "mean" as well as is one of the most frequency used main trend indicators. To find the answer, multiply the collection's overall amount of numbers by all of its values. Either the original data or data which has been combined into frequency charts can be used for calculations.
Here,
We can use linear interpolation between the two closest latitude numbers in the table, 45 and 50, to determine the typical temperature for a city with a latitude of 48.
Let T(45) and T(50) represent the typical temperatures at respective latitudes of 45 and 50, respectively. The following algorithm can be used to determine the temperature at 48 degrees latitude:
=> T(48) = T(45) + (T(50) - T(45)) * (48 - 45)/(50 - 45)
Using the numbers from the table as inputs, we obtain:
=> T(48) = 14 + (16 - 14) * (48 - 45)/(50 - 45)
=> T(48) = 14 + 2 * 3/5
=> T(48) = 14 + 1.2
=> T(48) = 15.2
The estimated average temperature for a city with a latitude of 48 is 15, rounded to the closest whole number.
Consequently, 15 is the solution.
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Which equation represents the situation below?
After a 20% discount, the cost of a pair of headphones was $260. How much did the headphones cost before the discount?
Let h = original cost of headphones
Answer:
Para calcular el precio original de los auriculares antes del descuento, podemos usar la fórmula:
Precio original = Precio después del descuento / (1 - Porcentaje de descuento)
Donde "Precio después del descuento" es el costo de los auriculares después del descuento, y "Porcentaje de descuento" es el porcentaje aplicado como descuento. En este caso, el porcentaje de descuento es del 20%, es decir, 0.2 en términos decimales.
Sustituyendo los valores conocidos, obtenemos:
Precio original = 260 / (1 - 0.2)
Precio original = 260 / 0.8
Precio original = 325
Por lo tanto, el costo original de los auriculares antes del descuento era de $325.:
Answer:
The answer is D. (1-0.2)h=260
Step-by-step explanation:
An amount of money is divided among A, B and C in the ratio 4: 7:9 A receives R500 less than C. Calculate the amount that is divided.
Answer:
We know that A receives R500 less than C, so we can write:
4x = 9x - 500
Solving for x, we get:
5x = 500
x = 100
Now we can calculate the amounts received by each person:
A = 4x = 4(100) = R400
B = 7x = 7(100) = R700
C = 9x = 9(100) = R900
To check our answer, we can verify that the ratios of the amounts received by A, B, and C are indeed 4:7:9:
A:B = 400:700 = 4:7
B:C = 700:900 = 7:9
Therefore, the total amount divided is:
400 + 700 + 900 = R2000
So the amount that is divided is R2000.
Step-by-step explanation:
The total amount of money divided is R2000.
What is the ratio?Ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We are given that;
The ratio of A, B and C= 4:7:9
Now,
Let's start by assigning variables to the unknowns in the problem. Let's call the total amount of money "T". Then, if A receives 4x, B receives 7x, and C receives 9x, where "x" is some constant, we can write:
4x + 500 = C's share
We can also write an equation to represent the fact that the three shares add up to the total amount:
4x + 7x + 9x = T
Simplifying this equation, we get:
20x = T
Now we can substitute the first equation into the second equation and solve for x:
4x + 7x + (4x + 500) = 20x
15x + 500 = 20x
500 = 5x
x = 100
Now we can find the individual shares by multiplying x by the appropriate ratio factor:
A's share = 4x = 400
B's share = 7x = 700
C's share = 9x = 900
Finally, we can check that these add up to the total amount:
400 + 700 + 900 = 2000
Therefore, by the given ratio the answer will be R2000.
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An electronics company currently has 278 stores throughout the U. S. Because of the popularity of online shopping, many of the company's stores are closing. The total number of stores is expected to decline by about 5% this year. Assuming the same decline continues, you can use a function to approximate the total number of stores remaining after x years
We can estimate that after 5 years, there will be approximately 215 stores remaining.
Assuming a 5% decline in the number of stores each year, the function to approximate the total number of stores remaining after x years is exponential, and can be written in the form:
g(x) = a *[tex](0.95)^x[/tex]
where g(x) is the total number of stores remaining after x years, and a is the initial number of stores (278 in this case).
Therefore, the equation for the function is:
g(x) = 278 * [tex](0.95)^x[/tex]
This function takes into account the compounding effect of the 5% decline each year on the initial number of stores and can be used to estimate the number of stores that will remain after any number of years. For example, after 5 years, the number of stores would be approximate:
g(5) = 278 *[tex](0.95)^5[/tex]
g(5) ≈ 214.5
Therefore, we can estimate that after 5 years, there will be approximately 215 stores remaining.
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Complete Question:
An electronics company currently has 278 stores throughout the U.S. Because of the popularity of online shopping, many of the company's stores are closing. The total number of stores is expected to decline by about 5% this year. Assuming the same decline continues, you can use a function to approximate the total number of stores remaining after x years. Write an equation for the function. If it is linear, write it in the form gx=mx+b . If it is exponential, write it in the form gx=abx. gx=___?
There are two coins in a bin. When one of them is flipped it lands on heads with probability 0.6 and when the other is flipped, it lands on heads with probability 0.3. One of these coins is to be chosen at random and then flipped. a) What is the probability that the coin lands on heads? b) The coin lands on heads. What is the probability that the chosen coin was the one that lands on heads with probability 0.6?
The probability that the coin lands on heads if one of them is flipped and lands on heads with probability 0.6 is 0.6 × 1/2 + 0.3 × 1/2 = 0.45. Therefore, the probability that the coin lands on heads is 0.45.
a) Let A be the event that the chosen coin is the one that lands on heads with probability 0.6 and B be the event that the coin lands on heads. Then, the required probability is P(A | B) = P(A and B) / P(B) .
Here, P(A and B) = probability that the chosen coin is the one that lands on heads with probability 0.6 and it actually lands on heads.
Since the probability that the coin lands on heads are 0.45 and the probability that the chosen coin is the one that lands on heads with a probability of 0.6 is 1/2, we have P(A and B) = 0.6 × 1/2 = 0.3. The probability that the coin lands on heads is 0.45.
So, P(B) = probability that the coin lands on heads = 0.45.P(A | B) = P(A and B) / P(B) = 0.3 / 0.45 = 2/3.
Hence, the probability that the chosen coin was the one that lands on heads is 0.6 if the coin lands on heads are 2/3.To learn more about “probability” refer to the: https://brainly.com/question/13604758
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Suppose Z follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z < 0.79) = Х 5 ? (b) P(Z > 0.75) (c) P(-1.06 < Z< 2.17) =
The probabilities Z > 0.75 is P(Z > 0.75) = 1 - P(Z < 0.75).
The probability of Z > 0.75 is 1 - 0.77337 = 0.22663
The probability of Z < -1.06 from it. P(-1.06 < Z< 2.17) = P(Z < 2.17) - P(Z < -1.06) = 0.98425 - 0.14457 = 0.83968
Suppose Z follows the standard normal distribution. The probabilities using the ALEKS calculator are given below.(a) P(Z < 0.79) = 0.78524. (rounded to 5 decimal places)(b) P(Z > 0.75) = 1 - P(Z < 0.75) = 1 - 0.77337 = 0.22663. (rounded to 5 decimal places)(c) P(-1.06 < Z< 2.17) = P(Z < 2.17) - P(Z < -1.06) = 0.98425 - 0.14457 = 0.83968. (rounded to 5 decimal places). In the standard normal distribution, the mean is equal to zero and the standard deviation is equal to 1. The notation for a standard normal random variable is z. Z is a random variable with a standard normal distribution and P(Z) denotes the probability of the random variable Z. Suppose z follows a standard normal distribution then the probability of Z < 0.79 is P(Z < 0.79) = 0.78524. So, the answer is 0.78524(rounded to 5 decimal places).Suppose z follows a standard normal distribution then the probability of Z > 0.75 is P(Z > 0.75) = 1 - P(Z < 0.75). Therefore, the probability of Z > 0.75 is 1 - 0.77337 = 0.22663(rounded to 5 decimal places).Therefore, the probability of -1.06 < Z< 2.17 can be found by finding the probability of Z < 2.17 and then subtracting the probability of Z < -1.06 from it. P(-1.06 < Z< 2.17) = P(Z < 2.17) - P(Z < -1.06) = 0.98425 - 0.14457 = 0.83968(rounded to 5 decimal places).
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Sean pays £10 for 24 chocolate bars.
He sells all 24 chocolate bars for 50p each.
Work out Sean's percentage profit
so he got them for £10 all 24 bars, then he went and sold each for 50c, so hmmm 24 at £0.50 that's (24)(0.5) = 12, so he bought them for £10 and sold them for £12, he's got a surplus or profit of £2.
now, if we take 10(origin amount) as the 100%, what's 2 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 10 & 100\\ 2& x \end{array} \implies \cfrac{10}{2}~~=~~\cfrac{100}{x} \\\\\\ 5 ~~=~~ \cfrac{ 100 }{ x }\implies x=\cfrac{100}{5}\implies x=20[/tex]
