Answer: 0.46, 0.056, the distribution is approximately normal
Step-by-step explanation: The shape is approximately normal since the expected number of successes equals 36.8 and the expected number of failures equals 43.2 are both larger than 10
deon buys candy that cost $6 per pound. he will buy at most 7 pounds. write answer as inequality
Answer:
x ≤ 42 dollars
Step-by-step explanation:
Deon will buy at most 7 pounds, and we know that it costs 6 per pound, so we multiply 7 and 6 to get 42. Deon will not buy over 7 pounds, so that means less than or equal to.
Find the percent markdown for an $80 jacket that is in sale for $48
Answer:
40 percent off
Step-by-step explanation:
40 percent off 80.00 is 48.00
F(x)=x^2 - 1/x - 4
Can someone please help me with this
Find the area of a circle with radius 8.5m to the nearest square unit
Answer:
Circle Area = PI * radius^2
Area = PI * 8.5^2
Area = 226.98
Area = 227 square meters
Step-by-step explanation:
Two lines, R and M, are represented by the following equations:
Line R: 2x + 2y = 18
Line M: x + y = 9
Which statement is true about the solution to the set of equations? (4 points)
A.There is no solution.
B.It is (18,9).
C.There are infinitely many solutions.
D.It is (9, 18).
The answer is C. There are infinitely many solutions.
Find the simplified product where x=0: √5x (√8²−2√x)
Answer:
D Is the answer on edge
Step-by-step explanation:
hope this helps!
The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomials are given below.
√(5x) and √(8²) - 2√(x)
The product of the polynomials √(5x) and √(x²) - 2√(x) will be given as,
⇒ [√(5x)] [√(8²) - 2√(x)]
⇒ √(5x)√(8²) - 2√(x)√(5x)]
⇒ 8√(5x) - 2x√5
The product of the polynomials √(5x) and √(x²) - 2√(x) will be 8√(5x) - 2x√5.
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Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will have $1,400. This pattern of $200 additional dollars per day will continue. Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day. How much money will be in each purse after a week? After two weeks? The genie later added that he will let the money in each purse grow for three weeks. How much money will be in each purse then? Which purse contains more money after 30 days?Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will have $1,400. This pattern of $200 additional dollars per day will continue.
Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day.
How much money will be in each purse after a week? After two weeks?
The genie later added that he will let the money in each purse grow for three weeks. How much money will be in each purse then?
Which purse contains more money after 30 days?
Answer:
After a Week(7 days)
[tex]Purse \:A: \$2200\\Purse B: \$0.64[/tex]
After 2 Weeks(14 days)
[tex]Purse \:A: \$3600\\Purse B: \$81.92[/tex]
After 3 Weeks(21 days)
[tex]Purse \:A: \$5000\\Purse B: \$10485.76[/tex]
After 30 days
[tex]Purse \:A: \$6800\\Purse B: \$5368709.12[/tex]
Therefore, Purse B contains more money after 30 days.
Step-by-step explanation:
Purse A
The amount of money($1000) in purse A for each consecutive day grows with $200. The sequence is written as:
1000,1200,1400,...
This is an arithmetic sequence with the first term being $1000 and the common difference $200.
Therefore, for any number of day, n, the amount of money in the purse,
[tex]T_n=1000+200(n-1)[/tex]
Purse B
1 Penny=$0.01
The amount of money(1 Penny) in purse B for each consecutive day doubles. The sequence is written as:
0.01,0.02,0.04,...
This is a geometric sequence with the first term being $0.01 and the common ratio 2.
Therefore, for any number of day, n, the amount of money in purse B,
[tex]T_n=0.01(2)^{n-1}[/tex]
After a Week(7 days)
[tex]Purse \:A: T_7=1000+200(7-1)=\$2200\\Purse B: T_7=0.01(2)^{7-1}=\$0.64[/tex]
After 2 Weeks(14 days)
[tex]Purse \:A: T_{14}=1000+200(14-1)=\$3600\\Purse B: T_{14}=0.01(2)^{14-1}=\$81.92[/tex]
After 3 Weeks(21 days)
[tex]Purse \:A: T_{21}=1000+200(21-1)=\$5000\\Purse B: T_{21}=0.01(2)^{21-1}=\$10485.76[/tex]
After 30 days
[tex]Purse \:A: T_{30}=1000+200(30-1)=\$6800\\Purse B: T_{30}=0.01(2)^{30-1}=\$5368709.12[/tex]
Final answer:
After calculating daily increases for Purses A and B over several time frames, it's evident that Purse B, which doubles its amount every day, holds a vastly greater sum after 30 days, illustrating the power of compound interest.
Explanation:
Calculating Growth in Purses A and B
Let's start by determining the amount in each purse after one week (7 days) and after two weeks (14 days). Purse A gains $200 more each day, starting with $1,000 on day 1. Purse B's amount doubles every day, beginning with 1 penny on day 1.
For Purse A, we can calculate the total after one week as:
$1,000 + (6 days × $200/day) = $1,000 + $1,200 = $2,200
After two weeks (14 days):
$1,000 + (13 days × $200/day) = $1,000 + $2,600 = $3,600
For Purse B, since the amount doubles each day, we use the power of 2 to represent the growth:
After one week (7 days):
1 penny × [tex]2^6[/tex] = 64 pennies (because we don't count the first day)
After two weeks (14 days):
1 penny × [tex]2^13[/tex]= 8,192 pennies, or $81.92
After three weeks (21 days) for Purse A we get:
$1,000 + (20 days × $200/day) = $1,000 + $4,000 = $5,000
And for Purse B:
1 penny × [tex]2^{20}[/tex] = 1,048,576 pennies, or $10,485.76
Now, let's see which purse contains more money after 30 days:
Purse A: $1,000 + (29 days × $200/day) = $1,000 + $5,800 = $6,800
Purse B: [tex]1 penny \times 2^{29} = 536,870,912 \ pennies \, \ or\ \$\ 5,368,709.12[/tex]
After 30 days, Purse B contains significantly more money due to the power of compound interest.
how can u change this rhombus so that its also a square
A.make to sides longer
B.make all right angles
C.make all sides longer
D.make all angles wider
Answer:
Make all sides right angles
Step-by-step explanation:
Answer: B.
Step-by-step explanation:
A square must have 4 right angles and perpendicular congruent diagonals which already meets the requirements of a rhombus.
What is the slope of the line that passes through the points (-9, -3) and (1, -3)?
Write your answer in simplest form.
Answer:
The slope is 0.
Step-by-step explanation:
m= (y2-y1)/(x2-x1).
y2 is -3, y1 is -3.
x2 is 1 and x1 is -9.
m= -3 -(-3)/ 1- (-9)
m= 0/10
m=0
The slope of the line that passes through the points (-9, -3) and (1, -3) is 0 because the y-coordinates of both points are the same and this results in a 'change in y' of 0.
Explanation:In mathematics, the slope of a line passing through two given points can be calculated by the formula: (y2 - y1) / (x2 - x1). Where y2 and y1 represent the y-coordinates of the two points and x2 and x1 represent the x-coordinates of the two points. However, in this particular case, we see that the y-coordinates of both points (-9, -3) and (1, -3) are the same as -3.
This means our 'change in y', or (y2 - y1), is equal to zero (-3 - -3 = 0). Any fraction with 0 as the numerator (0 divided by any number) is itself equal to 0. Therefore, the slope of the line that passes through the points (-9, -3) and (1, -3) is 0.
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A couple plans on having three children. Which of the following represents the sample space for the genders of the three children? To simplify this question, we will use the binary definition of gender, with representing boy and representing girl. A (68B, BBG, BGG, GGG) B.(B,G) C.(BB, BG, GB, GG) D. (BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG) E. (BG, BG, BG)
The pie chart shows information about the grades achieved by all of the candidates in Keval's school who took AS Level English in 2015. 8 candidates achieved grade C. Work out the number of candidates in Keval's school who took AS Level English in 2015, showing your working out (2 marks)
Answer:
you have to put the pie chart to get an answer
Step-by-step explanation:
A row of plaques covers 252 square feet of space along a wall.
If the plaques are 6 feet tall, what length of the wall do they cover?
The length of the wall that the plaques will cover is feet long.
Answer:
252/6=42
Step-by-step explanation:
BRAINLIEST PLZ
Answer:
The length of the wall that the plaques will cover is 42 feet long.
Step-by-step explanation:
Wall is rectangular in shape
So Area = length × width
252 = 6 × length
length = 252/6
length = 42
The radius of a circle is 7 ft. Find its area to the nearest tenth.
The required area of the circle with a radius of 7 ft is given as 153.9 ft².
What is an area circle?The area of the circle is given by the pie times square of the radius. Or defined as the area enclosed within the circumference of the circle.
here,
Area of the circle = πr²
From the given data radius is 7ft,
plugging the value in the area formula of the circle,
Area of the circle = 3.14 × 7² = 153.9 ft²
Thus, the required area of the circle with a radius of 7 ft is given as 153.9 ft².
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Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8 centimeters, and the length of A C is 6.9 centimeters.
Which expressions can be used to find m∠BAC? Select three options.
cos−1(StartFraction 6.9 Over 12 EndFraction)
cos−1(StartFraction 9.8 Over 12 EndFraction)
sin−1(StartFraction 6.9 Over 12 EndFraction)
sin−1(StartFraction 9.8 Over 12 EndFraction)
tan−1(StartFraction 6.9 Over 9.8 EndFraction)
To find measure of angle BAC in a right triangle, we can use the trigonometric functions cos⁻¹(6.9/12), sin⁻¹(6.9/12), and tan⁻¹(6.9/9.8), corresponding to the sides AC and CB with respect to the hypotenuse AB.
Explanation:To find the measure of angle BAC in triangle ABC where angle ACB is a right angle, we can use the trigonometric ratios involving the sides of the triangle. Given that AB is the hypotenuse, CB is the adjacent side to angle BAC, and AC is the opposite side to angle BAC, we can use the following expressions:
cos⁻¹(⅓6.9/12): This represents the cosine of angle BAC, since cosine is the ratio of the adjacent side to the hypotenuse.sin⁻¹(⅓6.9/12): This represents the sine of angle BAC, since sine is the ratio of the opposite side to the hypotenuse.tan⁻¹(⅓6.9/9.8): This represents the tangent of angle BAC, since tangent is the ratio of the opposite side to the adjacent side.Using any of these trigonometric functions, we can calculate the measure of angle BAC by inputting the ratios into a calculator that has the capability to compute the inverse trigonometric functions.
Nina opened a savings account and deposited $300.00. The account earns 4% interest, compounded monthly. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?
Answer:
up to $338.18
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r/n)^(n*t), where r is the interest rate as a decimal fraction and n is the number of compounding periods per year.
Here, A = $300(1 + 0.04/12)^(12*3), or
A = $300(1.0033333)^*36, or
A = $300(1.127) = $338.18
Nina will be able to spend up to $338.18 on a new bike.
The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed. How fast did Sean drink the slushy?
The initial amount of slushy in the cup is 600 mm.
A linear equation has the following form:
y = mx + b
where y and x are variables, m represents the rate of change, and b represents the initial value of y.
Let y be the amount of slushy remaining in the cup (in milliliters) and x the time (in seconds).
The y intercept on the graph is 600.
As a result, the initial amount of slushy in the cup is 600 mm.
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The following question may be like this:
Sean drank a slushy as fast as he could.
The amount of slushy left in the cup (in milliliters) as a function of time (in seconds) is graphed. How much slushy was initially in the cup?
The data set represents the total number of pencils each student in a class needs to sharpen.
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Which box plot correctly represents the data?
a
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
b
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
c
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
d
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
Answer:
D
Step-by-step explanation:
Vus vi velt vike vit
The box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).
What is a Box Plot?A box plot is a graphical representation of the five-number summary of a data set.
The five-number summary comprises of: minimum value, maximum value, lower quartile (Q1), median, and upper quartile (Q3).
Find the five-number summary of the data set, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9:
Minimum = 0
Maximum = 9
Median = 3
Q1 = 1
Q3 = 5
Therefore, the box plot that represents the data, 0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9, is shown in the diagram attached below. (Option A).
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Select the choice that translates the following verbal phrase correctly to algebra:
8 times the total of x and 3
A. 8(x + 3)
B. 8x + 3
C. (8x) ⋅ 3
D. 8 + x(3)
Answer:
8(x+3)
Step-by-step explanation:
The Reason being it is the total of x and 3 times 8.
For it to be 8x+3 you would write it eight times x plus three or eight x plus three
Option A - 8 (x + 3) correctly represents the verbal phrase.
We have the following statement -
8 times the total of x and 3
We have to select the choice that translates the above verbal phrase correctly to algebra.
Rephrase the following verbal phrase into mathematical form - ' n times the sum of a and b '.The mathematical statement for the above phrase is - n x (a + b)
In the question given to us we have - 8 times the total of x and 3
The mathematical statement for the above phrase will be -
8 (x + 3)
Hence, Option A correctly represents the verbal phrase.
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Suppose that 200 flies are ee, 150 flies are ee, and 150 flies are ee. calculate the frequencies of the 3 genotypes for this population. do not leave your answers as fractions!
Complete Question
Imagine a large Source [tex](S_o)[/tex] population of 500 files at a particular time we will call [tex]T_s[/tex].The files have brown ebony bodies. Suppose that 200 flies are ee, 150 flies are Ee, and 150 flies are EE. calculate the frequencies of the 3 genotypes for this population. do not leave your answers as fractions!
Answer:
The frequency of genotype ee is [tex]f_{ee}= 0.4[/tex]
The frequency of genotype Ee is [tex]f_{Ee} = 0.3[/tex]
The frequency of genotype EE is [tex]f_{EE} = 0.3[/tex]
Step-by-step explanation:
From the question we are told that
The number of files with genotype ee is [tex]ee = 200[/tex]
The number of files with genotype Ee is [tex]Ee = 150[/tex]
The number of files with genotype [tex]EE[/tex] is [tex]EE = 150[/tex]
The frequency of genotype ee is mathematically evaluated as
[tex]f_{ee} = \frac{200}{500}[/tex]
[tex]f_{ee}= 0.4[/tex]
The frequency of genotype Ee is mathematically evaluated as
[tex]f_{Ee} = \frac{150}{500}[/tex]
[tex]f_{Ee} = 0.3[/tex]
The frequency of genotype EE is mathematically evaluated as
[tex]f_{EE} = \frac{150}{500}[/tex]
[tex]f_{EE} = 0.3[/tex]
What method can be used to write the equation of a line in slope-intercept form given two points?
A. Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
B. Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
C. Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
D. Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
Answer:
The Answer is the first one, A
Step-by-step explanation:
Answer:
a.
Step-by-step explanation:
Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
PLS HELPP Mr. Clark needed to rent a moving van. Company A charges a rate of $90 per hour plus a $50 truck
fee. Company B charges $70 per hour plus a $90 truck fee. For what number of rental hours is the cost
for both companies the same?
Answer:
2 hours
Step-by-step explanation:
According to the information provided you can say that for company A, the total cost is equal to 90 for the number of hours plus the 50 fee. For company B, the total cost is equal to 70 for the number of hours plus 90.
90x+50= 70x+90
x= number of rental hours
Then, you have solve for x:
90x-70x=90-50
20x=40
x=40/20
x= 2
The cost for both companies is the same for 2 rental hours.
Answer:
h = 2 hrs
Step-by-step explanation:
Mr Clark needed to rent a moving Van.
Company A charges
cost = 50 + 90(h)
where
h = number of hours used
Company B charges
cost = 90 + 70(h)
where
h = number of hour used
The number of rental hours when both companies cost is same is when both the cost equation is equal to each other.
Therefore,
50 + 90(h) = 90 + 70(h)
50 - 90 = 70h - 90h
-40 = -20h
divide both sides by -20
h = -40/-20
h = 2 hrs
When making a batch of orange juice for her basketball team Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make in all? She poured the juice in 2 quart containers how many containers could she feel?
Answer:
48 cups of orange juice, 24 containers.
Step-by-step explanation:
Given:
Jackie used 5 times as much water as concentrate to make orange juice.
There were 32 more cups of water than concentrate.
Question asked:
How much juice did she make in all ?
She poured the juice in 2 quart containers how many containers could she fill ?
Solution:
Let concentrate used in the juice = [tex]x[/tex]
As Jackie used 5 times as much water as concentrate:
Then water used in the juice = [tex]5x[/tex]
According to question:
To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice, Jackie used 5 times as much water as concentrate, we will write this as:-
[tex]x+5x=x+x+32\\6x=2x+32\\[/tex]
Subtracting both sides by [tex]2x[/tex]
[tex]4x=32\\[/tex]
Dividing both sides by 4
[tex]x=8[/tex]
Concentrate used in the juice = [tex]x[/tex] = 8 cups
Water used in the juice = [tex]5x[/tex] = [tex]5\times8=40\ cups[/tex]
Total quantity of juice =8 + 40 = 48 cups
Thus, she made 48 cups of orange juice for her basketball team.
Now, as she poured the juice in 2 quart containers, we have to find number of containers could be filled, we will simply divide total quantity of juice by 2 quart
Number of 2 quart containers = 48 cups [tex]\div[/tex] 2 = 24 containers
Thus, she can fill 24 containers.
The diagram shows AHJK. Which term describes point L?
5914 1404 393
Answer:
C. Incenter
Step-by-step explanation:
The point of intersection of angle bisectors is the incenter. It is the center of an inscribed circle.
__
Other centers are ...
circumcenter - intersection of side perpendicular bisectors. The center of a circumscribed circle.
centroid - the intersection of medians
orthocenter - the intersection of altitudes
What’s the measure of angle C if tan C = 0.5773
Answer:
C =29.998°
Step-by-step explanation:
To find the measure of angle C if tan C = 0.5773, we will follow the steps below;
tan C = 0.5773
take the tan⁻¹ of both-side of the equation
that is;
tan⁻¹ tan C = tan⁻¹0.5773
On the left-hand side of the equation tan and tan⁻¹ will cancel-out leaving us with just c
C = tan⁻¹0.5773
C =29.998°
C≈30°
Given ABC = FGE find m
Answer:
Step-by-step explanation:
trg CDE ,<C=<E=(180-20)/2=80
trg ABC,<C=80
<A=180-(80+52)=180-132=48
so <F=<A=48 grades
The answer is attached.
least to greatest. 26.2, 262%, 2 3/5 (two and three fifths)
in all decimal or percent form please and i need an answer soon please help!!!
Answer:
Step-by-step explanation:
BACD
Final answer:
The numbers from least to greatest are 2.62 (262%), 2.6 (2 3/5), and 26.2.
Explanation:
To arrange the numbers 26.2, 262%, and 2 3/5 from least to greatest in all decimal or percent forms, we need to convert them into the same form.
First, we know that 262% as a decimal is 2.62. The mixed number 2 3/5 can be converted to a decimal by dividing the numerator by the denominator and adding it to the whole number, resulting in 2 + 0.6 = 2.6.
Now we have the numbers in decimal form: 26.2, 2.62, and 2.6.
To order them from least to greatest:
2.62 (262%)2.6 (2 3/5)26.2When converting back to percent form, remember to multiply by 100. Thus, 2.62 is already given as 262%, and 2.6 becomes 260%.
What is 10^3 x 10^9 with a single exponent ?
10^3 x 10^9 = 10^12
Step-by-step explanation:
Given that,
10^3 x 10^9
The bases of the 2 terms are same (10) and the power of the terms are 3 and 9
As the base of the 2 terms are same and the bases are in multiplication form we can add up the powers.
So,
10^3 x 10^9 = 10^(3+9)
= 10^12
A cube has a volume of 10 cm^3. A larger cube has a volume of x cm^3 . Consider the function f(x) =(x-10)cubed. What do the values f(19) and f(14) represent?
f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.
The function f(x) = (x-10)^3 represents the volume difference between a larger cube and a smaller cube.
When we calculate f(19), it means we are finding the volume difference when the volume of the larger cube is 19 cm^3. Similarly, when we calculate f(14), it represents the volume difference when the volume of the larger cube is 14 cm^3.
So, f(19) represents the volume difference when the larger cube has a volume of 19 cm^3, and f(14) represents the volume difference when the larger cube has a volume of 14 cm^3.
If we calculate the values:
- f(19) = (19-10)^3 = 9^3 = 729 cm^3
- f(14) = (14-10)^3 = 4^3 = 64 cm^3
Therefore, f(19) represents the volume difference of 729 cm^3, and f(14) represents the volume difference of 64 cm^3 between the larger cube and the smaller cube.
Grace is having trouble deciding what to order for dessert. The options are 4 different flavors of ice cream, 3 different flavors of cake, or 2 different flavors pie. If she were to choose one item at random, what is the probability that she will choose a cake?
Answer: The probability that she would choose cake is 0.33 (or 33%)
Step-by-step explanation: The number of all possible outcomes is given as follows;
4 (ice cream) + 3(cake) + 2(pie), that is 4 + 3 + 2 = 9
This means there is a possibility of 9 different outcomes if she decided to choose her dessert at random.
However, there are 3 flavors of cake available which means the possibility of choosing cake is 3.
Therefore the probability that she will choose a cake is give as,
P(Cake) = Number of required outcomes/Number of all possible outcomes
P(Cake) = 3/9
P(Cake) = 1/3 or 0.33
Therefore the probability that she would choose cake is 0.33 or 33%
16x+9=8x+46 can someone help?
Answer:
37/8
Step-by-step explanation:
Subtract 8x from both sides and get 8x+9=46 subtract 9 from both sides and get 8x=37 divide by 8 and get 37/8
Answer:
x=4.625
Step-by-step explanation:
16x+9=8x+46
-8x
8x+9=46
-9
8x=37
/8
x=4.625