The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many servings are there in a box that holds 13 cups?
Answers
Related Questions
10 students of a class had a mean score of 70. The remaining 15
students of the class had mean score of 80. What is the mean score of
the entire class?
Answers
Oops someone else answered it before me
Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answers
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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trouve trois nombres entiers consécutifs dont la somme vaut 513
Answers
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
the equation that allows us to compare dollar amounts to be received or payed at different dates is the
Answers
The equation that compares dollar amounts to be received or paid at different dates is the Time Value of Money (TVM) equation.
The time value of money(TVM) equation enables us to compare dollar amounts to be received or paid at various dates. This equation takes into account the concept of the opportunity cost of money and accounts for the changes in the value of money over time due to inflation and other factors. The equation calculates the present value of a future amount, or the future value of a present amount, based on an interest rate. This helps in making financial decisions by comparing the value of money at different points in time.
The equation used to compare dollar amounts received or paid at different time periods is called time value of money. This equation takes into account the effect of inflation, investment return, and the time period for which the money is being held, to calculate the present or future value of a sum of money. It helps to determine the equivalent value of money at a certain point in time, considering the opportunity cost of not having access to the money.
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The complete question is:
The formula that enables us to compare the amount of money that will be received or paid at various dates is the
Time value money.
Taylor rule.
interest-rate parity equation.
yield curve.
What is the equation of the line in slope-intercept form?
Answers
Answer:
y=4/3x+4
Step-by-step explanation:
If g (t) has a continuous second derivative and f(x,y)= g(y)+tan^-1(xy), then f_xx(2,1)=
Answers
Compute the partial derivatives with respect to x :
\(f(x,y)=g(y)+\tan^{-1}(xy)\)
\(\implies f_x(x,y)=\dfrac y{1+(xy)^2}\)
\(\implies f_{xx}(x,y)=-\dfrac{2xy^3}{(1+(xy)^2)^2}\)
Evaluate the second partial derivative at (2, 1) :
\(\implies f_{xx}(x,y)=\boxed{-\dfrac4{25}}\)
if 1 km = 1,000 meters , then 2 1/2 km=______ meters
Answers
Answer:
2 km and half is 2500 meters
Alice has 3/4 liter of orange juice. She wants to share it equally among 5 people. Which expression can Alice use to determine how much juice (in liters) each
person will receive?
O x5
0 + 5
Answers
Answer:
\(\displaystyle{l=\frac{3}{4}\div{5}}\)
Step-by-step explanation:
\(\displaystyle{l=\frac{3}{4}\div{5}=\frac{3}{4}\div\frac{5}{1}=\frac{3}{4}\times\frac{1}{5}=\frac{3}{20}\text{ L}}\)
Relationships in Figures
Which process defines the Fibonacci sequence?
a. exculsive
b. recursive
c. inclusive
d. extensive
Please select the best answer from the choices provided
Answers
Answer:
B. Recursive
Step-by-step explanation:
I calculated it logically
Find the equation of the line.
Use exact numbers.
Answers
Answer:
Step-by-step explanation:
The amount of bacteria in a raw piece of meat doubles every 3 hours. If the meat initially contains 135 ounces of bacteria, how much bacteria will be in the meat after 15 hours.
Help ya gurl out
Answers
Answer:
1350 ounces
Step-by-step explanation:
If the bacteria doubles by every 3 hours since our initial amount is 135, it will be;
15hours/3hours = 5hrs
then multiply the bacteria by to find the single amount after the period of time
5hrs × 135 ounces = 675 ounces
then multiply this by two to find the doubled amount; 675 × 2= 1350 ounces
Answer:
4320 ounces.
Step-by-step explanation:
The bacteria doubles every 3 hours. Therefore in 15 hours it will double up 5 times.
at t=0 => \(2^{0}\)x135 = 135
at t=3 => \(2^{1}\)x135 = 270
at t=6 => \(2^{2}\)x135 = 540
at t=9 => \(2^{3}\)x135 = 1080
at t=12 => \(2^{4}\)x135 = 2160
at t=15 => \(2^{5}\)x135 = 4320
What’s the answer to If =3+23
, what is
when =1
and =2
?
Answers
The value of y when a = 1 and b = 2 is 22.
How to solve an equation?The equation of can be solved as follows: We will substitute the value of a and b in the equation to find the value of y.
Therefore,
y = 3ab + 2b³
Let's find y when a = 1 and b = 2
Hence,
y = 3(1)(2) + 2(2)³
y = 6 + 2(8)
y = 22
Therefore,
y = 22
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(q1) Find the length of the curve described by the function
Answers
The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:
L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2
The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.
Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:
L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral be solved.
We can, however, find a general solution. We use the above formula and substitute the limits of integration.
Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
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helppp
I don't know it's correct
Answers
Answer:
Yes it is correct
Step-by-step explanation:
Answer:
yes its correct
Whole numbers are located at the right side of the number line .
0 is the smallest whole number
negative numbers are not whole numbers
Hope that helped
Step-by-step explanation:
Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of time to complete the 212-mile hike from Yosemite Valley across the high Sierras to the top of Mount Whitney.
Five-number summary:
Minimum = 9 days
The first quartile (
Q
1
)
=
18
days
The median (
Q
2
)
=
21
days
The third quartile (
Q
3
)
=
28
days
Maximum =56 days.
If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the right boundary?
Interquartile range:
Interquartile range is used by the data analyst to detect the whether there any data value which is located far away from others. The data analyst usually finds this by plotting the box-plot (a visualization technique based on interquartile range formula), Since it is the best and easy way to locate outlier values.
Answers
If we use the 1.5 * IQR rule to see if there are any outliers, the correct boundary is 43 days.
To use the 1.5 * IQR rule to determine whether there are any outliers in this data set, we need to first calculate the IQR. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
IQR = Q3 - Q1
= 28 - 18
= 10
Next, we can calculate the boundaries for potential outliers:
Lower boundary = Q1 - 1.5 * IQR
= 18 - 1.5 * 10
= 3
Upper boundary = Q3 + 1.5 * IQR
= 28 + 1.5 * 10
= 43
Since the maximum value in the data set is 56, there are no outliers above the upper boundary. Therefore, the right boundary is 43 days.
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1 2/5 fraction that have the same value
Answers
Answer:
7/5
Step-by-step explanation:
1 2/5, a mixed number, is equivalent to 7/5.
Recall the set of payoffs in a game of chuck-a-luck:
• You win one times your bet if your number appears on one die.
• You win two times your bet if your number appears on two dice.
• You win three times your bet if your number appears on three dice
• You lose your bet if your number appears on none of the dice.
You play 50 consecutive games of chuck-a-luck, betting 5 chips in each of the
first 30 games, and 10 chips in each of the remaining 20 games. By the end
of these games you'll expect to:
(Hint: You might want to draw a tree diagram to figure this one out. Note: you
can win or lose to 1/10th of a chip.)
A. break even
B. win 20.4 chips
c. lose 19.5 chips
D. Iose 27.3 chips
O E. lose 34.1 chips
Answers
By the end of these games, the expectation to lose is 27.3 chips.
What is a Tree diagram?A new management planning tool called a tree diagram shows the hierarchy of activities and subtasks required to accomplish a target.
Given, For each game, the winning amount for 1 chip bet is as follows:
P(X = 1) = 3*(1/6)*(5/6)2 = 75 / 216
P(X = 2) = 3*(1/6)2*(5/6) = 15 / 216
P(X = 3) = (1/6)3 = 1/216
P(X = -1) = (5/6)3 = 125 / 216
Therefore expected value here is computed as:
E(X) = (75 + 2*15 + 3*1 - 125) / 216 = -17 / 216
Total chips bet = 5*30 + 10*20 = 350
Therefore the expected value here is computed as:
= 350*(-17/216)
= -27.3
Therefore, expect to lose about 27.3 chips here.
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the effectiveness of a blood-pressure drug is being investigated. an experimenter finds that, on average, the reduction in systolic blood pressure is 55.9 for a sample of size 29 and standard deviation 7.4. estimate how much the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level). assume the data is from a normally distributed population.
Answers
The tri-linear inequality with the required 80% confidence interval of 54.1 to 57.7 shows the genuine mean value by which the drug decreases the average patient's systolic blood pressure.
A confidence interval expresses the likelihood that a population parameter will fall between a range of values a predetermined percentage of the time. It is the estimate's mean plus or minus the estimate's range of values.
Given the confidence level is 80%, the significance level α=100-80=20% = 0.20. The sample mean \(\overline{x}\) is 55.9, the sample standard deviation s is 7.4, and the sample size n is 29.
We are using t-distribution to population standard deviation first. For that first find the degree of freedom and critical value of t.
Degree of freedom,
df = n - 1
df = 29 - 1
df = 28.
The critical value of t calculated from the t-distribution table is,
\(\begin{aligned}t_{\text{critical}}&=t_{\alpha/2,df}\\&=t_{0.10,28}\\&=\pm1.3125 \end{aligned}\)
Then, an 80% confidence interval is,
\(\begin{aligned}\mu&=\overline{x}\pm\frac{t\cdot s}{\sqrt{n}}\\&=55.9\pm\frac{1.3125\times7.4}{\sqrt{29}}\\&=55.9\pm1.80\end{aligned}\)
Then, the interval is written as
55.9 - 1.80 < μ < 55.9 + 1.80
54.1 < μ < 57.7
The required interval is 54.1 < μ < 57.7.
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Verify that the following function is a probability mass function, and determine the requested probabilities.
fx = (8/7(1/2)x
x = 0, 1, 2, ...
A. P(X = 2).
B. P(X ≤ 2).
C. P(X > 2).
D. P(X ≥ 1).
Is the function a probability mass function?
Answers
Answer:
yes
Step-by-step explanation:
if the earthquake has stronger magnitude what does it mean
Answers
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.
The lengths of the sides of a triangle are 3 , 4 , 5 Classify the triangle as acute, right, or obtuse.
Answers
The average of 5 numbers is 8.5. Four of the numbers are 9.2, 3.4, 6.5 and 7.4. What is
the fifth number?
Answers
Answer:5
Step-by-step explanation:
Kaila and Nicklaus want to compare the weights of their dogs. Kaila's dog weighs 13.096 pounds. Nicklaus's dog weighs 46.38 pounds. How much heavier is Nicklaus's dog compared to Kaila's?
Answers
Answer:
Nickaul's dog is 33.284 pounds heavier than Kaila's.
Step-by-step explanation:
find the difference;
46.38 - 13.096 = 33.284
george is going to buy a used car that is 4,500. he is going to pay 3/4 of the car and his parents are going to pay the rest. how much will his parents pay?
Answers
Answer:his parents will pay 1125
Step-by-step explanation:
Triangle XYZ, X equals 27 cm, Y equals 79 cm and angle C equals 142Degrees. Find the length of Z, to the nearest centimeter.
Answers
Given:
In triangle XYZ, x = 27 cm, y = 79 cm and \(\angle C=142^\circ\).
To find:
The length of z.
Solution:
In triangle XYZ, using the Law of cosine, we get
\(z^2=x^2+y^2-2xy\cos Z\)
Putting the given values in the above formula, we get
\(z^2=(27)^2+(79)^2-2(27)(79)\cos (142^\circ)\)
\(z^2=729+6241-4266(-0.788)\)
\(z^2=6970+3361.608\)
\(z^2=10331.608\)
Taking square root on both sides.
\(z=\pm \sqrt{10331.608}\)
\(z=\pm 101.6445178\)
Approx the above value to the nearest number and side length cannot be negative. So,
\(z\approx \pm 102\text{ cm}\)
Therefore, the length of z is about 102 cm.
Answer:102
Step-by-step explanation:
Which description matches the algebraic expression 45 n?
the sum of a number and 45
the quotient of a number and 45
the product of a number and 45
the difference of a number and 45
Answers
Answer:
The product of a number and 45
Step-by-step explanation:
Answer:
the product of a number and 45
Step-by-step explanation:
i just finished the quiz
HELP WILL GIVE BRAINLIEST AND DON’T TAKE THE POINTS IF YOU DON’T KNOW IT
Answers
Since 1 inch=35 miles and there are 2.5 inches...
35 times 2 = 70
35/2= 17.5
70+17.5= 87.5
Hope this helps ☺️
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
Answers
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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PLEASE HELP QUICKLY(25 points)!!
Match the description with the correct answer.
(questions)
———————
y-intercept -
slope-
domain-
range-
is this graph increasing, decreasing or both-
x-intercept-
———————
(answer choices)
(4,0), (0,4), (-2,0), (0,-2), +2, -4,
input values, increasing, decreasing,
both increasing and decreasing, output values
———————
please help quickly its worth 10.34 points on my test
Answers
Answer: In that picture the slope is increasing
Step-by-step explanation: positive rise and positive run (uphill from left to right)
Classifg each angle as acute , right , obtuse , or straight
1) 10°
2) 98°
3) 180°
4) 90°
Answers
Answer:
1) acute
2) obtuse
3) straight
4) right
Step-by-step explanation:
acute angle=less than 90
right angle=90 exactly
obtuse=greater than 90
straight=exactly 180
hope this helps