Answer:
3.
Step-by-step explanation:
2/3 / 2/9
= 2/3 * 9/2
= 18/6
= 3.
Todd bought 3/8 of a pound of banana chips. He ate 1/9 of what he purchased what fraction of a pound of banana chips did todd eat?
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
He bought 3/8 of a pound and ate 1/9 of it. The equation of this problem would be:
[tex]\frac{3}{8} * \frac{1}{9}[/tex] = amount he ate
Cancel the 3 on the numerator by dividing the denominator by 3.
[tex]\frac{1}{8} * \frac{1}{3}[/tex] = [tex]\frac{1}{24}[/tex]
Thus, he ate [tex]\frac{1}{24}[/tex] pounds of chips
You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by
approximately 4% per year. What was the value of the land in the year 2000?
(a) Write the exponential function for this scenario:
(b) What was the value of the land in the year 2000? Round to the nearest whole dollar.
A. $750,000
B. $605,035,808
C. $81,084
D. $7,346
Answer:
Future value of land = 25,000[1.04]³⁰
Future value of land = $81,084 (Approx.)
Step-by-step explanation:
Given:
Purchase cost of land in 1970 = $25,000
Application rate = 4% per year
Find:
Price of land in 2000
Computation:
Number of year = 2000 - 1970 = 30 year
Future value of land = [Purchase cost of land][1+Application rate]ⁿ
F = P[1+r]ⁿ
Future value of land = 25,000[1+4%]³⁰
Future value of land = 25,000[1+0.04]³⁰
Future value of land = 25,000[1.04]³⁰
Future value of land = 25,000[3.24339]
Future value of land = 81,084.75
Future value of land = $81,084 (Approx.)
A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?
Answer:
15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet
Step-by-step explanation: 15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet
PLEASE HELP ASAP Use the figure to complete the following trigonometric ratios.
Answer:
[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]
Need some help on this
9514 1404 393
Answer:
a. set 1: 29 minutes; set 2: 25 minutes
b. set 1 is more challenging than set 2
Step-by-step explanation:
a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...
(2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes
For set 2, that is ...
(4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes
__
b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...
set 1 is more challenging than set 2
Find the equation of the line below
Each time a component is tested the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possile values of Y, and state which Y value is associated with each one.
Y Outcomes
3
4
5
6
7
Answer:
[tex](a)\ \{SSS\}[/tex]
[tex](b)\ \{FSSS\}[/tex]
[tex](c)\ \{FFSSS, SFSSS\}[/tex]
[tex](d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
[tex](e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
Step-by-step explanation:
Given
[tex]S\to[/tex] Success
[tex]F\to[/tex] Failure
[tex]n \to 3[/tex] Consecutive trials until S happens
[tex]Y \to[/tex] Number of trials
For every possible outcome, the last 3 must be SSS. So, we have:
[tex](a)\ Y = 3[/tex]
The only possibility here is: [tex]\{SSS\}[/tex]
because 3 trials implies that all outcomes must be S.
[tex](b)\ Y = 4[/tex]
The only possibility here is:
[tex]\{FSSS\}[/tex]
because 4 trials implies that the first outcome must be F
[tex](c)\ Y = 5[/tex]
The possibilities are:
[tex]\{FFSSS, SFSSS\}[/tex]
because 5 trials implies that the first and the second outcomes must be FS or SF.
[tex](d)\ Y = 6[/tex]
The possibilities are:
[tex]\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
because 6 trials implies that the first three outcomes are: FFF, SSF and SFF
[tex](e)\ Y = 7[/tex]
The possibilities are:
[tex]\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))
A cupcake recipe takes 3 cups of flour for every 2 dozen cupcakes. How many cups of flour does Sally need to make 96 cupcakes? Use the table to help.
Answer: 12 cups of flour
Step-by-step explanation:
12 cups of flour 3 + 3 + 3 + 3 = 12 because I have to make 96 cupcakes for tomorrow.
The amount of flour required will be 8 x 1.5 = 12 cups of flour. Option A is correct.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour (since 2 dozen cupcakes = 2 x 1.5 = 3 cups of flour).
To make 96 cupcakes, Sally needs 8 dozen cupcakes (since 8 x 12 = 96). Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.
So, the answer is 12 cups of flour, and the explanation should be:
To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour. To make 96 cupcakes, Sally needs 8 dozen cupcakes.
Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ2
If f(x)=5^x+2x and g(x)=3x-6
find (f+g)(x)
Answer:
(f+g)(x) = 5^x+5x-6
Step-by-step explanation:
f(x)=5^x+2x
g(x)=3x-6
(f+g)(x) = 5^x+2x+3x-6
Combine like terms
(f+g)(x) = 5^x+5x-6
help with this please
Answer:
( x + 2 ) and ( x - 11 )
Step-by-step explanation:
x² - 9x - 22 = 0
x² + 2x - 11x - 22 = 0
x ( x + 2 ) - 11 ( x + 2 ) = 0
( x + 2 ) ( x - 11 ) = 0
Factors of x² - 9x - 22 are ( x + 2 ) and ( x - 11 ).
Answer:
( x - 11 ) ( x + 2 )
Step-by-step explanation:
x² - 9x - 22 = 0
→ Write 2 factors which multiply to -22 and add to -9
-11 and 2
→ Put the factors into brackets
( x - 11 ) ( x + 2 )
Find y and choose the answer for brainlest
Answer:
Last answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
angle y =128 degree reason-angles x and y are supplementary angles
Question 20
Josh says that has the same quotient as Is this true or false?
O True
O False
find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees
Answer:
c
Step-by-step explanation:
math Question Help to solve Multiple Choice
Answer:
B. 49
Step-by-step explanation:
f(7) = 7² = 49
_______
How can a group of people be considered a population and sample?
The entire group about which you want to draw conclusions is referred to as a population. A sample is a subset of the population from which you will collect data. The sample size is always smaller than the population's total size. A population in research does not always refer to people.
Simplify the expression
2(6x + 3)
Convert 15meter to 5kilometer
Answer:
Step-by-step explanation:
1 m =0.001 km
15m=15*0.001
=0.015 km
Relationships in Figures
Determine the unknown side length of the golden rectangle with the given width length.
w = 11, I + ?
a. 6.8
b. 17.8
c. 13.35
d. 5.1
Please select the best answer from the choices provided
Answer:
B. 17.8
Step-by-step explanation:
I calculated it logically
In a sightseeing boat near the base of the Horseshoe Falls at Niagara Falls, a
passenger estimates the angle of elevation to the top of the falls to be 30°.
If the Horseshoe Falls are 173 feet high, what is the distance from the boat
to the base of the falls?
Answer:
299.64 ft
Step-by-step explanation:
The diagrammatic representation of the problem has been attached below :
Applying trigonometry :
We use the relation :
Tanθ = opposite / Adjacent
Tan 30 = 173 / d
0.5773502 = 173 / d
0.5773502d = 173
d = 173 / 0.5773502
d = 299.64 ft
Estimate the given product 61 x 47 =
Find the median and mean of the data set below:
25, 13, 6, 4,2
Answer: im sorry but there is nothing here to help? may you add a picture? or something file maybe?
Step-by-step explanation:
f(x)=x^2-5 and g(x)=3x+1 then f(g(2))
Answer:
f(g(2)) = 44
Step-by-step explanation:
g(2) = 3(2) + 1 = 7
Plug 7 into f(x) since g(2) = 7
f(7) = 7² - 5 = 44
f(g(2)) = 44
67-2x+89/2+7-8x=0
help me please
Answer:
x = 11.85
Step-by-step explanation:
[tex]67 - 2x + \frac{89}{2} + 7 -8x = 0\\\\67 + \frac{89}{2}+7 = 8x + 2x\\\\\frac{134 + 89 +14}{2} = 10x\\\\10x = 118.5\\\\x = 11.85[/tex]
Answer:
[tex]x = 11 \frac{17}{20}[/tex] or [tex]\frac{237}{20}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Find the value of X. Please help!!!
Answer:
x = 9
Step-by-step explanation:
The triangle given is an isosceles triangle because it has two equal sides. By implication, the two base angles that are opposite the two equal sides are equal to each other.
Therefore,
80° + 2(m<2) = 180° (sum of triangle theorem)
80 + 2(5x + 5) = 180
80 + 10x + 10 = 180
Add like terms
90 + 10x = 180
90 + 10x - 90 = 180 - 90 (substraction property of equality)
10x = 90
10x/10 = 90/10 (division property of equality)
x = 9
Calculate the volume of this prism.
You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate
Answer:
The margin of error for this estimate is of 14.79 yards per game.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.093
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.
This means that [tex]n = 20, s = 31.61[/tex]
What is the margin of error for this estimate?
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 2.093\frac{31.61}{\sqrt{20}}[/tex]
[tex]M = 14.79[/tex]
The margin of error for this estimate is of 14.79 yards per game.
The product of nine, x and y
Answer:
(9)(x)(y) or 9(x + y)
Step-by-step explanation:
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
12 kg, 1200 mm, 1200 ml (twice), 12 m, and 120 mm
Answer:
12,000 is 12
120 is 120
1.2 L is 1200
1200 is 120
0.12 is 12
The mean of a standard normal probability distribution _____. a. can be any value b. can be any value as long as it is positive c. is always equal to 1 d. None of these answers are correct.
Answer:
D
Step-by-step explanation:
The mean of a standard normal distribution is always = 0 with the standard deviation being equal to. Therefore a standard normal distribution is a normal distribution described with a mean of 0 and standard deviation of 1. Since a standard normal distribution is centered at the middle with equal distribution to both the left and right of the distribution. The centre point is 0, which is the mean and the standard deviation is 1 to either side of the distribution.
solve for x:
x + 2 1/3 = 3 1/5
x-2 2/3 = 5/6