Answer:
m = 60 years
Step-by-step explanation:
granddaughter's age in months is equal to her grandmother's age in years
d = m
The sum of the granddaughter's age in years and the grandmother's age in years is 65
d/12 + m = 65
Substitute
m/12 + m = 65
(13/12)m = 65
multiply both sides by 12/13
m = 65 * 12/13
m = 60 years
Answer:
60 years
Step-by-step explanation:
Let the age of grandmother be x years
So, age of granddaughter = x months = x/12 years
According to the question:
The sum of the granddaughter's age in years and the grandmother's age in years is 65.
[tex]x + \frac{x}{12} = 65 \\ \\ \frac{12x + x}{12} = 65 \\ \\ \frac{13x}{12} = 65 \\ \\ x = 65 \times \frac{12}{13} \\ \\ x = 60 \\ [/tex]
Thus, the age of grandmother is 60 years.
Which two discontinuities does the graph show?
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Answer:
Discontinuities can be classified as jump, infinite, removable, endpoint, or mixed. Removable discontinuities are characterized by the fact that the limit exists. Removable discontinuities can be "fixed" by re-defining the function.
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Answer:
jump discontinuity at x = –2; infinite discontinuity at x = 0
Step-by-step explanation:
For Edge 2021
The pie chart shows the age distribution in a village of 120 people.
b)
a) How many of the villagers are over 60?
25 to 60
Over 60
b) What percentage of the villagers are
under 25?
Under 25
Answer:
5%
Step-by-step explanation:
In circle A below, points B, C, and D lie on the circle, and mZBDC = 35".
Answer:
arcBC = 140degrees
Step-by-step explanation:
From the given digaram;
Angle at the center is twice angle at the circumference
Hence;
m<CAB = 2(m<CDB)
m<CAB = 2 * 35
m<CAB = 70degrees
Also;
m<CAB = 1/2 arcBC
70 = 1/2arcBC
arcBC = 70*2
arcBC = 140degrees
In the first quadrant ,you start at 4,6 and move 3 units right and 1 unit down ,what point will u end up
Answer:
You end up at point (7,5).
Step-by-step explanation:
Starting point:
The coordinates of the starting point are: x = 4, y = 6.
So
(4,6).
Move 3 units right:
Moving 3 units right is adding 3 to the x-coordinate. So
x = 4 + 3 = 7
(7,6).
Move 1 unit down:
Moving 1 unit down is subtracting 2 from the y-coordinate. So
y = 6 - 1 = 5.
You end up at point (7,5).
A survey conducted by the American Automobile Association showed that a family of four spends an average of $215.60 per day while on vacation. Suppose a sample of 64 families of four vacationing at Niagara Falls resulted in a sample mean of $252.45 per day and a sample standard deviation of $70.00. a. Develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls (to 2 decimals).
Answer:
The 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($234.96, $269.94).
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 = 64 - 1 = 63
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9983
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9983\frac{70}{\sqrt{64}} = 17.49[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 252.45 - 17.49 = $234.96.
The upper end of the interval is the sample mean added to M. So it is 252.45 + 17.49 = $269.94.
The 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($234.96, $269.94).
A two-state system is in an environment at temperature 500 K. The energy of state 1 is 4.1e-20 J, and the energy of state 2 is 5.7e-20 J. Let be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio
Complete Question
A two-state system is in an environment at temperature 500 K. The energy of state 1 is[tex]E_1=4.1e-20 J[/tex], and the energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]. Let P(1) be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio P(2)/P(1)
Answer:
[tex]X=0.0984[/tex]
Step-by-step explanation:
From the question we are told that:
Temperature T=500 K
Energy of state 1 [tex]E_1=4.1e-20 J[/tex],
Energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]
Generally the equation for Probability of finding the system in state is mathematically given by
[tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]
Therefore
For Probability of finding the system in state 1 [tex]P(1)[/tex]
[tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]
Where
K is Boltzmann constant
[tex]K=1.38*10^{-23}[/tex]
[tex]P(1)=e ^{\frac{-(4.1e-20 J)}{1.38*10^{-23}*500}}[/tex]
For Probability of finding the system in state 1 [tex]P(2)[/tex]
[tex]P(2)=e ^{\frac{-(5.7e-20 J)}{1.38*10^{-23}*500}}[/tex]
Generally the equation for The Ratio of [tex]P(2)[/tex] and [tex]P(2)[/tex] is mathematically given by
[tex]X=\frac{P(2)}{p(1)}[/tex]
[tex]X=e ^{\frac{E_1-E_2}{KT}}[/tex]
[tex]X=e ^{\frac{-(4.1-5.7)e-20 J)}{1.38*10^{-23}*500}}[/tex]
[tex]X=0.0984[/tex]
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Assume the conditions for regression inference have been satisfied. To construct the 90% confidence interval for the true slope of the population regression equation relating amount of fertilizer to yield.
Required:
How many degrees of freedom does the t-distribution have?
Answer:
Option b is correct answer
Step-by-step explanation:
The complete question is attached herewith
Solution
The equation of a line in given by
y=a +bx where
a is the Y- intercept and
b is the slope
From the given piece of information, we can derive that
coefficient of intercept = 10.1
coefficient of fertilizer= 1.150
Substituting the given values in above equation, we get -
y=10.1+1.150x
Option b is correct answer
PLZ ANSWER Which one of these methods finds the volume of the given figure?
I think it's the second one on the top, because the dotted one is actually inside the bigger one and you can get a clear representation of the sizes.
Answer:
Top right
Step-by-step explanation:
(: htam
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
D im not sure but i hope its right
Step-by-step explanation:
You're right its the answer is C
Find the measure of the exterior angle.
Step-by-step explanation:
exterior angle
-> (4x + 6)° = x + 102°
3x = 102° - 6°
3x = 96°
x = 32°
4x + 6°= 4×32° + 6° = 128 + 6 = 134°
Red Pontiac potatoes are
$5.00 per pound. If Jeremy wants to buy 14 pound, how much money will he spend?
Answer:
Step-by-step explanation: 14 * 5 = $70
prove that P(A∩B)=P(A)∩P(B) for all sets A,B.
Step-by-step explanation:
let,
p(A)={1,2,3,4}
p(B)={3,4,5,6}
p(AnB)={3,4}
now,
p{AnB)=P(A)nP(B){3,4}={1,2,3,4}n{3,4,5,6}{3,4}={3,4}LHS=RHS. proved.
hope it helps.
stay safe healthy and happy.in order to maintain a healthy weight, an average dog that weights 17
Answer:
In order to maintain a healthy weight, an average adult dog that weighs 17 kilograms must consume 13 grams of dog food per kilogram of its body weight each day. A specialty pet store sells dog food by the cup, where 6 cups of dog food weighs 558 grams.
Hope this helps! Have a good day! :)
Pleas help me am going to fail
Answer:
20 × 9= 180
...............................
Hi there!
[tex]\large\boxed{180 u^2}[/tex]
Use the following formula to solve for the area:
A = b × h
Plug in the given numbers:
A = 20 × 9 = 180 units²
in new england 47% of the houses have a garage and 36% of the houses have a garage and a backyard what is the probability that a house has a backyard given that has a garage probs and stats
Answer:
The probability that a house has a backyard given that has a garage is 76.60%.
Step-by-step explanation:
Given that in New England 47% of the houses have a garage and 36% of the houses have a garage and a backyard, to determine what is the probability that a house has a backyard given that has a garage the following crossed multiplication must be performed:
47 = 100
36 = X
(36 x 100) / 47 = X
3,600 / 47 = X
76.5957 = X
Therefore, the probability that a house has a backyard given that has a garage is 76.60%.
Determine the smallest integer value of xx in the solution of the following inequality.
−3x+10≤5
Answer:
2
Step-by-step explanation:
-3x ≤ -5
if we divide for a negative number we have to change the sign of the inequality
x ≥ 5/3
5/3 = 1,666
so the nearest integer number is 2
Answer:2
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
2,144.66 miles³
Step-by-step explanation:
v = (4/3)πr³
v = (4/3)π(8³)
v = 2,144.6605848506
Rounded
2,144.66 miles³
5/7+1/2 what the answer for this
[tex] \frac{5}{7} + \frac{1}{2} [/tex]
Taking the L.C.M,
[tex] \frac{10 + 7}{14} [/tex]
Adding them up,
[tex] \frac{17}{14} [/tex]
In mixed terms,
[tex]1 \frac{3}{14}[/tex]
Answer:
17/14 or 1³/14 is the answer
How many thirds are equal to 2/6? please explain using an equation.
Answer:
How many thirds are equal to 2/6?
1/3 = 1/3
2/6 = 1/3
3/9 = 1/3
4/12 = 1/3
Step-by-step explanation:
I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.
Have a great rest of your day/night!
1 thirds
divide 2/6 by 2 and you get 1/3. or multiply 1/3 by two and you get 2/6.
A prism has three rectangular faces. It's other faces are in the shape of a _____.
Answer:
Rectangle or parallelogram
What is the value of ? x/10 = 2 O A. 5 O B. 8 O C. 12 OD. 20
Answer:
x = 20
Step-by-step explanation:
x/10 = 2
Multiply each side by 10
x/10 * 10 = 2*10
x = 20
help me im so lostttttttttttttttttttttttttttttttttttttttttttyytytytytyy
Answer:
First of all what are those white figure?
Answer: 36 cubic feet
Step-by-step explanation:
What is the tenth term of the sequence described by the rule?
A(n)=−9+5(n−1)
Answer:
46
Step-by-step explanation:
Replace n by 10 in the rule a(n) = -9 + 5(n - 1):
a(10) = -9 + 5(9) = 45 - 9 = 46
As of 2018, Apple had 5 billion outstanding shares. The stock price is roughly $200.
A) How much is Apple worth?
B) If all tangible assets total $1 Billion, what
represents the rest of Apple's worth?
Answer:
Therefore, the value of the company is $ 1,000,000,000,000, that is, a trillion dollars. In turn, if the tangible assets of the company are worth 1 billion, all the other intangible assets of the company are worth 999 billion.
Step-by-step explanation:
Given that as of 2018, Apple had 5 billion outstanding shares whose stock price is roughly $ 200, to determine the value of the company and determine, if all tangible assets total $ 1 Billion, what represents the rest of Apple's worth, the following calculations must be done:
5 billion = 1,000,000,000
5,000,000,000 x 200 = X
1,000,000,000,000 = X
1 trillion = 1000 billions
1000 - 1 = 999
Therefore, the value of the company is $ 1,000,000,000,000, that is, a trillion dollars. In turn, if the tangible assets of the company are worth 1 billion, all the other intangible assets of the company are worth 999 billion.
yo anyone wanna tlk (fhvbhfud)
ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????
please help me solve this
Answer:
20.5
Step-by-step explanation:
By the Triangle Midsegment Theorem, the midsegment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this midsegment is half the length of the third side. Therefore, (1/2)FH ≡ IH, (1/2)HG ≡ HJ. Knowing that IJ = 8 gives you the presidence to solve for the perimeter.
A rectangular
pyramid and a rectangular prism have the same base measurements and
height measurements. If the volume of the prism is 30 cubic inches,
what is the volume of the pyramid? To check if you answer is
reasonable, think about which shape is bigger.
9514 1404 393
Answer:
10 cubic inches
Step-by-step explanation:
The volume of of a prism is 3 times the volume of a pyramid with the same base area and height.
pyramid volume = 1/3(prism volume)
pyramid volume = (1/3)(30 in³) = 10 in³
y = 4/5x - 5
y = -5/4x - 5
y = -4/5x - 5
y = 4/5x + 5
Answer:
The answer is the 3rd one.
Evaluate 4y if y = 3
Answer:
12
Step-by-step explanation:
y = 3 so
4 × 3 = 12
The value of 4y at y=3 is 12.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Expression : 4y
Now, we have to put y= 3
So, 4y
= 4(3)
= 12
Hence, the value of 4y at y=3 is 12
Learn more about Equation here:
https://brainly.com/question/10413253
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