To find the area under the normal distribution between z = -0.30 and z = 0.90, you can use a standard normal distribution table or a calculator with a normal distribution function.
Using a standard normal distribution table:
Look up the area to the left of z = 0.90 in the standard normal distribution table. This will give you a value of 0.8159.
Look up the area to the left of z = -0.30 in the standard normal distribution table. This will give you a value of 0.3821.
Subtract the value from Step 2 from the value from Step 1 to find the area between z = -0.30 and z = 0.90:
Area = 0.8159 - 0.3821 = 0.4338
Using a calculator with a normal distribution function:
Use the normal distribution function on your calculator with a mean of 0 and a standard deviation of 1 to find the area to the left of z = 0.90. This will give you a value of 0.8159.
Use the normal distribution function on your calculator with a mean of 0 and a standard deviation of 1 to find the area to the left of z = -0.30. This will give you a value of 0.3821.
Subtract the value from Step 2 from the value from Step 1 to find the area between z = -0.30 and z = 0.90:
Area = 0.8159 - 0.3821 = 0.4338
Therefore, the area under the normal distribution between z = -0.30 and z = 0.90 is 0.4338.
Solve the equation for x. 3x^2-bx=0
Answer:
The equation 3x^2 - bx = 0 can be factored into two linear factors as follows:
x (3x - b) = 0
So either x = 0 or 3x - b = 0, which gives x = b/3.
Therefore, the solutions to the equation 3x^2 - bx = 0 are x = 0 or x = b/3.
You are given an Isosceles Trapezoid,
If one of the base angles equals 45 then what is the measure of it's opposite angle?
180
135
45
90
The measure of it's opposite angle is 135
How to determine the measure of it's opposite angleFrom the question, we have the following parameters that can be used in our computation:
The base angles equals 45
Using the above as a guide, we have the following:
Base angle + Opposite angle = 180
Substitute the known values in the above equation, so, we have the following representation
45 + Opposite angle = 180
Evaluate the like terms
Opposite angle = 135
Hence, the angle is 135 degrees
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The final price of the textbook for an English literature course is 7% more than the listed price when tax and shipping costs are included. If the listed price is $100, what is the final price of the textbook?
(Round to the nearest dollar.)
Solve Z = 5x+2y-7/ 3w
for x.
Answer:
see the attachment photo!
License plates in a particular state display 4 letters followed by 2 numbers.
How many different license plates can be
manufactured for this state?
(Simplify your answer. Type an integer or a fraction.)
There are 45697600 number of different license plates can be manufactured for this state.
What is Combination?The combination is a mathematical technique that is the number of ways to arrange the n number of collections where the order of selection does not matter.
ⁿCₐ= n!/(n-a)!a!
Here given in the question is,
On the license plate, there are 4 letters and 2 numbers.
Since, There are 26 alphabets in English from A to Z for which at position 1, there are 26 possibilities of alphabets at every position by,
²⁶C₁ = 26!/(26-1)!1!
= 26!/25!1!
= 26!/25!
= 26
So, for 4 different positions of letters,
Then, The number of ways is,
⇒ 26×26×26×26 = 26⁴= 456976
And, There are 10 numbers in math for which at position 1, there are 10 possibilities of numbers at every position by,
¹⁰C₁ = 10!/(10-1)!1!
= 10!/9!1!
= 10!/9!
= 10
So, for 2 different positions of numbers, the number of ways is,
= 10×10 = 10²= 100
Thus, The total number of ways the license can be manufactured = 456976 × 100= 45697600
Therefore, 45697600 different license plates can be manufactured for this state.
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what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
In a group of 25 people, how many different samples of size 10 people are possible to be selected. (Samples with the same 10 people, but selected in different orders are considered the same).
Suppose that a state requires its license plates to have three letters followed by three digits 0 through 9. The letters and digits can be repeated, but the first digit can not be a zero. How many different license plates are possible?
3268760 different samples of size 10 people are possible to be selected.
15818400 different license plates are possible.
What is combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
The combination formula aids in determining the number of possible combinations that may be created by selecting a portion of a bigger collection of objects.
We need the number of possible combinations of choosing 10 people out of 25 (any order). The 25 binomial coefficient, (10) gives the number. Possible number of combinations are:
²⁵C₁₀ = 25! / (25-10)!(10!)
²⁵C₁₀ = 3268760
We want 3 letters and 3 digits but the first digit can't be zero. There are 26 alphabets and 10 digits. Since repetition is allowed we can use any of the 26 alphabets in place of all 3 letters.
This gives us 26 x 26 x 26 = 26³ ways to choose the first three letters.
For digits, since the first digit can't be 0, we can choose the rest 9 digits. For the next two digits, we can choose any one digit from 10. This gives us 9 x 10 x 10 ways to choose digits.
Finally, by law of multiplication, the total number of ways of choosing license plates is :
number of license plates = 26³ × 9 × 100
= 15818400
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3268760 different samples of size 10 people are possible to be selected.
15818400 different license plates are possible.
What is combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
The combination formula aids in determining the number of possible combinations that may be created by selecting a portion of a bigger collection of objects.
We need the number of possible combinations of choosing 10 people out of 25 (any order). The 25 binomial coefficient, (10) gives the number. Possible number of combinations are:
²⁵C₁₀ = 25! / (25-10)!(10!)
²⁵C₁₀ = 3268760
We want 3 letters and 3 digits but the first digit can't be zero. There are 26 alphabets and 10 digits. Since repetition is allowed we can use any of the 26 alphabets in place of all 3 letters.
This gives us 26 x 26 x 26 = 26³ ways to choose the first three letters.
For digits, since the first digit can't be 0, we can choose the rest 9 digits. For the next two digits, we can choose any one digit from 10. This gives us 9 x 10 x 10 ways to choose digits.
Finally, by law of multiplication, the total number of ways of choosing license plates is :
number of license plates = 26³ × 9 × 100
= 15818400
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If there are 30 king sized candy bars in a box and the box sells for $70.50 , how much does each candy bar in the box cost? Please help this paper is due tmr and I get my progress report tmr!!!
The cost of one candy bar is $2.35.
What is a unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service.
Given that, there are 30 king-sized candy bars in a box and the box sells for $70.50, we need to find that how much does each candy bar in the box cost,
Since, the cost of all 30 candies is given collectively, i.e. $70.50,
We will divide the cost of the whole box by the number of candies to find the unit price of the candies,
Unit price = $70.50 / 30
= $2.35
Hence, the cost of one candy bar is $2.35.
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Find the lateral area of a cylinder whose radius is 6 cm and height is 20 cm.
240 π cm 2
312 π cm 2
120 π cm 2
Answer:
[tex]240\pi cm^{2}[/tex]
Step-by-step explanation:
Lateral area of a cylinder is the curved surface area, (which connects the top with the base)
Curved Surface Area= [tex]2\pi rh[/tex]
where r = radius of base
h = height of cylinder
Substituting the provided values:
Lateral area of cylinder = [tex]2\pi (6 cm)(20 cm)[/tex]
= [tex]240\pi cm^{2}[/tex]
Hanna, sarah and mthunzi bought a ticket for R60. Hanna contributed R15, Sarah R21 and mthunzi R24. They won R4000. Calculate the amount each will get?
Based on their contribution ratios, the amount each will get from the winnings is as follows:
Hanna = R1,000Sarah = R1,400Mthunzi = R1,600.What is a ratio?A ratio shows the relative size of a variable, quantity, or value when compared to another.
Ratios are fractional values expressed as decimals, percentages, or fractions.
The cost of a ticket = R60
Contributions by:
Hanna = R15
Sarah = R21
Mthunzi = R24
Ratio = 5: 7: 8
Sum of ratios = 20 (5 + 7 + 8)
Share of Winnings:Hanna = R1,000 (5/20 x R4,000)
Sarah = R1,400 (7/20 x R4,000)
Mthunzi = R1,600 (8/20 x R4,000)
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Find common denominator for 4/5 and 2/3
Answer:
15
Step-by-step explanation:
5*3 = 15
A serving is 1/2 of a cookie how many servings can be made from 3/8 cookies PLEASE
Answer:
3/4 servings
Step-by-step explanation:
Each serving = 1/2
There are 3/8 cookies.
How many times 1/2 "fits" into 3/8 = how many servings.
3/8 / 1/2
= 3/8 * 2
= 3/4 servings
Find the area of the shaded figure below.
Answer:
x(y/2 + z)
Step-by-step explanation:
There are two triangles here.
The small triangle which is bound by dotted lines has base = y and height = x
The height of the larger triangle is 2x and its base is y + z
Area of larger triangle = 1/2 · 2x · (y + z)
= x(y + z) = xy + xz
Area of smaller triangle = 1/2 · x · y = xy/2
Shaded region area = Area of larger triangle - area of smaller triangle
= xy + xz - xy/2
= xy/2 + xz
= x(y/2 + z)
An art teacher pours of 2/3 gallon of paint into a jug and the jug is 1/4 of the way full. If the art teacher pours an additional 1 gallon of paint into this jug, what fraction of the jug will be filled?
The fraction of the jug filled is given by the equation A = 5/8 of the jug
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction of the jug filled be represented as A
Now , the equation will be
The amount of paint poured initially = ( 2/3 ) gallons
The amount of jug filled initially = ( 1/4 ) of the jug
Now ,
The amount of jug filled for 1 gallon = ( 1/4 ) / ( 2/3 ) of the jug
On simplifying the equation , we get
The amount of jug filled for 1 gallon = ( 3/8 ) of the jug
And , an additional 1 gallon of paint is added
So , the new amount of paint = [ ( 2/3 ) + 1 ] = ( 5/3 ) gallons
And , the amount of jug filled for ( 5/3 ) gallons = ( 5/3 ) x amount of jug filled for 1 gallon
Substituting the values in the equation , we get
The amount of jug filled for ( 5/3 ) gallons A = ( 5/3 ) x ( 3/8 )
On simplifying the equation , we get
The amount of jug filled for ( 5/3 ) gallons A = ( 5/8 ) of the jug
The amount of jug filled for ( 5/3 ) gallons A = 0.625 of the jug = 62.5 %
Hence , the fraction is ( 5/8 ) of the jug
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a random number generator that draws digits at random with replacement from {0,1,2,3,4,5,6,7,8,9} is run three times. find the chance that the digits drawn can form the number 510, by rearrangement if necessary.
The required chance that the digits can form the number 510 is 6/1000, or approximately 0.006, or 0.6%.
What is permutation?The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.
According to question:The chance that the digits drawn can form the number 510 is given by the probability of drawing the digits 5, 1, and 0 in that order or in some rearrangement of the order.
There are 3! = 6 ways to arrange the digits 5, 1, and 0, and there are 10^3 = 1000 total possible outcomes when the random number generator is run three times.
So, the chance that the digits can form the number 510 is 6/1000, or approximately 0.006, or 0.6%.
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100 POINTS HELPWhich column on an accounting worksheet may not balance at the end of an accounting period?
A. The Adjusted Trial Balance
B. The Trial Balance
D. The Adjustments
C. The Income Statement
If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 7 heads?
The probability of getting exactly 7 heads when a fair coin is tossed 9 times is 0.164 to the nearest thousandth.
What is the given probability?To calculate the probability of getting exactly 7 heads when a fair coin is tossed 9 times, we can use the binomial probability formula below:
P(X = k) = [tex]^nC_k * p^k * (1 - p)^{n - k}[/tex]
where;
p is the probability of success on a single trial = 0.5
n is the number of trials = 9
k is the number of desired successes = 7
Substituting:
P(X = 7) = ⁹C⁷ * (0.5)⁷ * (1 - 0.5)²
P(X = 7) ≈ 0.164
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Generally which one of the following the least appropriate measure of central tendency for data set that contains outliets? A) mean B) median C) 2nd quantile D) 50th percentile
The (A) mean is the least acceptable metric of central tendency for data collection with outliers.
What is mean?There are various mean types in mathematics, particularly in statistics.
Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.
In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers.
For instance, the mean for the collection of values 8, 9, 5, 6, and 7 is 7, since 8 + 9 + 5 + 6 + 7 = 35, and 35/5 = 7.
For data collection with outliers, the mean is the least acceptable measure of central tendency.
Therefore, the (A) mean is the least acceptable metric of central tendency for data collection with outliers.
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You purchase 170 shares for $70 a share ($11,900), and after a year the price rises to $80. Calculate the percentage return on your investment if you bought the stock on margin and the margin requirement was (ignore commissions, dividends, and interest expense):
15 percent. Round your answer to one decimal place.
45 percent. Round your answer to one decimal place.
80 percent. Round your answer to one decimal place.
Answer:
see below
Step-by-step explanation:
170*70=11900
after one year 170*80 = 13600
gain on paper = 13600-11900 = 1700
80/70 = 1.14 so 14% if you had paid out of pocket
but then you bought on margin meaning you only used
15% of your money = 11900* 15% = 1785
but your gain was 1700, so your return = 1700/1785 = 95%
45% of your money = 11900* 45% = 5355
but your gain was 1700, so your return = 1700/5355 = 32%
85% of your money = 11900* 85% = 10115
but your gain was 1700, so your return = 1700/10115 = 17%
What is the measure of angle a?
Find a value of the constant k such that the indicated limit exists. 3* _ 4 lim X-0 ekx +1 k = (If any value of k will work; enter any; if none will work, enter none ) Are there any other values of k that will work?
Any value of k greater than 0 will work, since the limit will be 1 as x approaches 0, regardless of the value of k. Other values of k can also work.
The limit in question is 3*_4limX-0 ekx+1. For any limit to exist, the expression must approach a finite number as x approaches 0. In this case, that number is 1. As long as the exponent k is greater than 0, the exponential expression will approach 0 as x approaches 0, and the limit will be 1. Therefore, any value of k greater than 0 will work. It is worth noting, however, that other values of k can also work. For example, if k is equal to 0, then the expression reduces to 3/4 as x approaches 0, and the limit still exists and is equal to 1. Similarly, if k is less than 0, then the expression will approach infinity as x approaches 0, and the limit will still exist and be equal to 1.
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suppose x is a continuous random variable that is uniformly distributed between 3 and 8. which one of the following functions can be used to find p(x
The Cumulative Distribution Function (CDF) can be used to find the probability of a continuous random variable that is uniformly distributed between 3 and 8.
The formula for the CDF is F(x) = (x-a)/(b-a) where a is the lower bound of the distribution and b is the upper bound of the distribution. In this case, a = 3 and b = 8. Therefore, the CDF equation is F(x) = (x-3)/(8-3). The Cumulative Distribution Function (CDF) can be used to find the probability of a continuous random variable that is uniformly distributed between 3 and 8.As an example, let's find the probability of x being less than or equal to 5. The CDF equation would be F(5) = (5-3)/(8-3) = 2/5. Therefore, the probability of x being less than or equal to 5 is 2/5.
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Select ALL the statements about the number 2⁻³ that are true.
2⁻³ raised to the third power equals 1.
2⁻³ is less than 1.
2⁻³ is greater than 3⁻².
2⁻³ multiplied by -1 equals 2³.
2⁻³ is equal to -8.
Answer:
B and C
------------------------
Verify each statement.
A) 2⁻³ raised to the third power equals 1.
(2⁻³)³ = 2⁻³°³ = 2⁻⁹ ≠ 1, this is incorrectB) 2⁻³ is less than 1.
2⁻³ = 1/2³ = 1/8 < 1, this is correctC) 2⁻³ is greater than 3⁻².
2⁻³ = 1/8 and 3⁻² = 1/3²= 1/9, therefore 1/8 > 1/9, this is correctD) 2⁻³ multiplied by -1 equals 2³.
2⁻³*(-1) = 1/2³*(-1) = - 1/2³ ≠ 2³, this is incorrectE) 2⁻³ is equal to -8.
2⁻³ = 1/8 ≠ - 8, this is incorrectZachary purchased a computer for $1,400 on a payment plan. Four months after he purchased the computer, his balance was $780. Eight months after he purchased the computer, his balance was $160. What is an equation that models the balance y after × months?
The equation ________ models the balance y after x months.
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Do not include the $ symbol in your answer.)
Answer:
y = -140x + 1400
Step-by-step explanation:
First, we'll find the slope, m, using the formula:
m = (160 - 780) / (8 - 4) = -620 / 4 = -155
Next, we'll use one of the points and the slope to find the y-intercept, b:
b = y - mx
We'll use the point (4, 780) to find b:
b = 780 - (4 * -155) = 1400
So the equation that models the balance, y, after x months is:
y = -155x + 1400
And since -155 can be simplified to -140, the equation becomes:
y = -140x + 1400
If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?
Answer:
where represents the time two hours later than the current time. represents the time one hour later than current time. Henceforth, the time at present is 9 pm.
Step-by-step explanation:
Which function describes this graph?
-61
-5
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
O A. y = (x+5)(x-3)
OB. y-(x-2)(x - 5)
OC. y = x² +5x+12
OD. y=x+7x+10
5
Answer:
D. y = x² +7x +10
Step-by-step explanation:
You want the function that describes a graph showing a quadratic with roots of -5 and -2.
EquationThe factored form of the equation can be written from the x-intercepts (roots) by considering that a root of p means (x -p) is a factor. The factored equation is ...
y = (x -(-5))(x -(-2)) = (x +5)(x +2) . . . . . doesn't match A or B
When this is multiplied out, it becomes ...
y = x² +5x +2x +10 = x² +7x +10 . . . . . . matches choice D
The equation is y = x² +7x +10.
A machine can label 4,000 cans in 10 minutes. At this rate, which answer choices best represent the machine labeling y cans in x minutes?
The proportional relationship that best represent the machine labeling y cans in x minutes is given as follows:
y = 400x.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
A machine can label 4,000 cans in 10 minutes, hence the constant is given as follows:
k = 4000/10
k = 400.
Hence the proportional relationship that best represent the machine labeling y cans in x minutes is given as follows:
y = 400x.
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"Look at the Example. Suppose the club increases the selling price of a frame to
$13. Write an expression with exactly two terms for the amount of money the club
will make for selling fframes. Show your work
The expression with exactly two terms for the amount of money the club
will make for selling 'f' frames is 7f- 36.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
Given:
Price of frame= $13
Material cost = $6
Renting both cost = $36
For selling 'f' frames the amount of money the club make
= (13f - 6f) - 36
= (13-6)f- 36
= 7f- 36
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A bag contains two red marbles, four green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
There are 2518 sets of five marbles that include either the lavender one or exactly one yellow one, but not both.
To solve this problem, we need to find the number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both colors. Here's one way to approach the problem:
Number of sets of five marbles that include the lavender one: There is only one lavender marble, so we can choose any 4 other marbles to go with it.
There are a total of 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.
This gives us a total of 7 x 6 x 5 x 4 = 840 possible sets of five marbles that include the lavender one.
Number of sets of five marbles that include exactly one yellow one: There are two yellow marbles,
So there are 2 possible choices for the yellow marble. For each choice, we can choose any 4 other marbles to go with it.
As before, there are 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.
This gives us a total of 2 x (7 x 6 x 5 x 4) = 1680 possible sets of five marbles that include exactly one yellow one.
Number of sets of five marbles that include both the lavender one and exactly one yellow one:
We need to subtract these sets from the total number of sets that include either the lavender one or exactly one yellow one.
We have already found that there are 840 sets of five marbles that include the lavender one, and 1680 that include exactly one yellow one.
To find the number of sets that include both, we can choose any one yellow marble and the lavender one.
There are 2 choices for the yellow marble and 1 choice for the lavender one,
So there are 2 x 1 = 2 possible sets of five marbles that include both the lavender one and exactly one yellow one.
Number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both:
Finally, we need to subtract the number of sets that include both the lavender one and exactly one yellow one from the total number of sets that include either the lavender one or exactly one yellow one.
The total number of sets that include either the lavender one or exactly one yellow one is 840 + 1680 = 2520. The number of sets that include both is 2,
So the number of sets that include either the lavender one or exactly one yellow one, but not both, is 2520 - 2 = 2518.
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The cost of food sold in a bistro is $67,000 for the quarter. If food sales during that quarter are $187,000, what is the bistro’s food cost percent?
Bistro’s food cost percent is 35.83%
What is Food cost percent?
Food cost percentage is calculated by taking the cost of goods sold and dividing that by the revenue or sales generated from that finished dish.
Food cost percent is calculated using the following formula:
Total Food Cost Percentage = (Total Cost of Goods Sold / Total Revenue) x 100
From the parameters in the question,
Total Food Cost Percentage = 67,000/187,000 x 100
Total Food Cost Percentage = 6,700,000/187000
Total Food Cost Percentage = 35.73%
Hence, the Bistro’s food cost percent is 35.83%
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