Since the average speed of the car is x miles per hour, then
We have to change the 90 minutes to hours
Since 1 hour = 60 minutes, then
Divide 90 by 60 to change from minutes to hours
\(T=\frac{90}{60}=\frac{9}{6}=\frac{\frac{9}{3}}{\frac{6}{3}}=\frac{3}{2}\)90 minutes = 3/2 hours
By using the rule of the distance
\(d=s\times t\)s is the speed
t is the time
Since s = x and t = 3/2, then
\(\begin{gathered} d=x\times\frac{3}{2} \\ d=\frac{3x}{2} \end{gathered}\)The car can travel 3x/2 miles in 90 minutes
The answer is B
Can someone help me with number 36? Tysmmm
Answer: Never(!) [assuming I understand/interpret the question properly]
Step-by-step explanation: The question wants to know how many months it will take for your neighbor's total cost be the same as yours, with three televisions. One has to interpret "total cost." I deem it to be the total accumulated costs, including installation. If you interpret it as the cost per month, then they charges are the same after the month the installation cast was paid. That's because the satellite provider charges per television, and 3*(13.32) is equal to the same 39.96/month charged by the cable provider. It the questions means total cumulative costs, the satellite customer will never exceed the cable customer's total bill, because of the installation fee ($75 for cable and free for satellite)
Let fbe a twice-differentiable function for all real numbers x. Which of the following additional properties guarantees that fhas a relative minimum at x =c? А f(0) = 0 B f(c) = 0 and f(c) < 0 f(0) = 0 and f(c) > 0 D f(x) > 0 forx
The property which guarantees that a twice-differentiable function has a relative minimum at x =c is the statement that f(c) = 0 and f''(c) > 0. Hence, option B is the correct answer.
Explanation:According to the second derivative test, if f''(c) > 0 and f(c) = 0, then the function f has a relative minimum at x = c. We're given that f is a function with two continuous derivatives. If f(c) = 0 and f(c) is less than zero, it is still possible for f to have a relative minimum, but only if the second derivative is negative and changes to positive at x = c.If f(0) = 0 and f(c) is less than zero, then we cannot conclude that f has a relative minimum at x = c since the second derivative is not guaranteed to be greater than zero at x = c. We can rule out f(x) > 0 for x since this is not a property that has anything to do with relative minima.
to know more about twice-differentiable visit:
https://brainly.in/question/43133320
#SPJ11
A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming election. A poll of 150 randomly selected voters is taken from the more than 2,000 voters in the population, and 60 % of those selected plan to vote for the incumbent candidate. The pollster wants to use this data to construct a one-sample z interval for a proportion. Which conditions for constructing this confidence interval did their sample meet?
The 95% confidence interval for the proportion of voters planning to vote for the incumbent candidate is approximately 0.536 to 0.664.
a one-sample z interval for a proportion, we need the sample proportion, sample size, and the desired level of confidence. Let's use the given information to calculate the confidence interval.
Sample proportion (p(cap)) = 60% = 0.60 Sample size (n) = 150
Let's assume a desired level of confidence of 95%. This means we want to construct a 95% confidence interval.
To construct the interval, we follow these steps:
The standard error (SE) of the sample proportion: SE = √(p(cap) × (1 - p(cap)) / n)
SE = √(0.60 × 0.40 / 150)
The critical value (z) corresponding to the desired level of confidence. For a 95% confidence interval, the z value is approximately 1.96. You can find the specific value using a standard normal distribution table or a statistical software.
The margin of error (ME)
ME = z × SE
ME = 1.96 × SE
The lower and upper bounds of the confidence interval:
Lower bound = p(cap) - ME
Upper bound = p(cap) + ME
Lower bound = 0.60 - ME
Upper bound = 0.60 + ME
Now, substitute the calculated values into the formulas
SE = √(0.60 × 0.40 / 150)
ME = 1.96 × SE
Lower bound = 0.60 - ME
Upper bound = 0.60 + ME
Calculate the values to find the confidence interval
SE ≈ 0.0326
ME ≈ 0.064
Lower bound ≈ 0.60 - 0.064 ≈ 0.536
Upper bound ≈ 0.60 + 0.064 ≈ 0.664
Therefore, the 95% confidence interval for the proportion of voters planning to vote for the incumbent candidate is approximately 0.536 to 0.664.
The sample size is 150, and 60% of the selected voters (0.6 × 150 = 90 voters) plan to vote for the incumbent candidate. Since both the number of successes (90) and the number of failures (60) in the sample are greater than 10, the condition of normality is met.
To know more about confidence interval click here :
https://brainly.com/question/32546207
#SPJ4
Which of the following numbers has the largest absolute value?
a) 16
b) 12.1
c) -2
d) -15
Answer:
numbers jump аss and to road hot talking
Step-by-step explanation:
a) 164
b) 12.1 2
c) -2 1
d) -154
Answer:
a) 16
Step-by-step explanation:
The absolute value is the distance from zero, so 16 has the largest absolute value.
convert this rational number to its decimal format and round to the nearest thousand 1/3
Answer:
0.333
Step-by-step explanation:
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ1
12. The distribution of the length of fish in a hatchery is approximately Normal with mean 14 inches and standard
deviation 2 inches.
(a) What is the probability that 16 randomly selected fish have a mean length more than 14.5 inches?
(b) What is the probability that 64 randomly selected fish have a mean length more than 14.5 inches?
(c) Explain why the probabilities in (a) and (b) are not equal.
a) P(mean length of 16 fish > 14.5 inches) ≈ 0.0668; b) P(mean length of 64 fish > 14.5 inches) ≈ 0.499; c) probabilities not equal due to Central Limit Theorem.
(a) The probability that the mean length of 16 randomly selected fish is more than 14.5 inches can be found using the standard normal distribution and the formula for a z-score. The z-score represents how many standard deviations a value is from the mean, and can be calculated as (14.5 - 14) / (2 / √16). Using a standard normal table or a calculator with a normal distribution function, the z-score can be used to find the probability of a value being above 14.5 inches.
(b) The probability that the mean length of 64 randomly selected fish is more than 14.5 inches can be found using the same method as in (a), with the only difference being the sample size in the calculation of the z-score. The z-score would be (14.5 - 14) / (2 / √64).
(c) The probabilities in (a) and (b) are not equal because the sample size is different. As the sample size increases, the standard deviation of the sample mean (known as the standard error) decreases, making it more likely that the sample mean will be close to the population mean. Therefore, as the sample size increases, the probability of the sample mean being above a certain value decreases.
Learn more about standard error here:
https://brainly.com/question/14524236
#SPJ4
can yall pls halp meh?
Answer:
5x-4
Step-by-step explanation:
-(x+4)+6x Hope this helps
-x-4+6x
-1x
5x-4
Which of the following statements best describes multicollinearity? A. Two or more predictors are highly correlated to the response variable. B. The relationship between the predictor and response variables is non-linear. C. There is a significant interaction term including two or more predictors. D. Two or more predictors are highly correlated with each other.
Multicollinearity refers to the situation where two or more predictors in a statistical model are highly correlated with each other.
Multicollinearity occurs when there is a high correlation between predictor variables in a regression model. The option D, "Two or more predictors are highly correlated with each other," best describes multicollinearity. When multicollinearity is present, it becomes difficult to determine the individual effects of each predictor on the response variable. The presence of multicollinearity can lead to unstable estimates and inaccurate inferences.
In a regression model, the predictors should be independent of each other to provide reliable and interpretable results. When two or more predictors are highly correlated, it indicates that they are capturing similar information or have redundant information. This can cause problems in the model as it becomes challenging to determine the unique contribution of each predictor. High correlation between predictors can lead to unstable coefficient estimates and inflated standard errors.
Detecting multicollinearity is important in regression analysis. Methods such as calculating correlation coefficients, variance inflation factors (VIF), or conducting hypothesis tests for individual predictors can help identify the presence of multicollinearity. If multicollinearity is detected, potential solutions include removing one of the correlated predictors, transforming variables, or collecting additional data to reduce the correlation. Handling multicollinearity appropriately is crucial to ensure the reliability and validity of regression analysis results.
Learn more about multicollinearity here:
https://brainly.com/question/32706933
#SPJ11
By using appropriate identities, where required, determine which of the following sets of vectors in F(-o,o) are lin- early dependent. (a) 6, 3 (c) 1, sinx, sin 2x (e) (3-X)2, X2-6x, 5 (f) 0, cos'TX, sin53πX sin2 x, 2 cos2 x (b) x, cos x (d) cos 2x, sin' x, cos x
The set of vectors {x, cos(x)} is linearly independent as per the concept of linearity of vectors.
To determine if the set of vectors {x, cos(x)} in F(-∞, ∞) is linearly dependent, we need to check if there exist scalars c1 and c2, not all zero, such that c1x + c2cos(x) = 0 for all values of x in the given interval.
Let's consider a specific value of x, say x = 0.
Plugging this value into the equation, we have c1(0) + c2cos(0) = 0. Since cos(0) = 1, the equation simplifies to c2 = 0.
Now, considering another specific value of x, say x = π/2, we have c1(π/2) + c2cos(π/2) = 0. Again, cos(π/2) = 0, so the equation simplifies to c1(π/2) = 0. This implies that c1 = 0.
Since c1 = c2 = 0, the only solution to the equation c1x + c2cos(x) = 0 for all x in F(-∞, ∞) is the trivial solution. Therefore, the set of vectors {x, cos(x)} is linearly independent.
To learn more about linear independency;
https://brainly.com/question/32638067
#SPJ4
The complete question:
By using appropriate identities, where required, determine which of the following sets of vectors in F(-∞, ∞) are linearly dependent.
a. x, cosx
The product of 2 rational numbers is -16/9 . If one of the numbers is -4/3 find the other plz fast
Answer:
4/3
Step-by-step explanation:
let the other number be x.
-4/3 x=-16/9
x=-16/9×-3/4=4/3
if you select a dvd at random, then select another at random (while keeping the first in your hand), what is the probability that both will be harry potter films?
The probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.
The probability of selecting a Harry Potter DVD at random is dependent on the total number of DVDs and the number of Harry Potter DVDs in the collection. Let's assume there are a total of 100 DVDs and 10 of them are Harry Potter films.
When selecting the first DVD, the probability of picking a Harry Potter film is 10/100 = 1/10.
After selecting the first DVD, there are 99 DVDs left, with 9 Harry Potter films remaining.
When selecting the second DVD, the probability of picking another Harry Potter film, while keeping the first one in hand, is 9/99 = 1/11.
To find the probability of both DVDs being Harry Potter films, we multiply the probabilities: (1/10) * (1/11) = 1/110.
Therefore, the probability that both DVDs will be Harry Potter films is 1/110.
In conclusion, the probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.
To know more about probability visit:
brainly.com/question/31828911
#SPJ11
Find the volume of the given rectangular pyramid.
Answer:
5 x 3 = 15, 15 x 4 = 60
60 x 1/3(basically just dividing by 3) = 20 in3
Answer:
H) 20
Step-by-step explanation:
Formula for the volume of a rectangular pyramid:
V = (whl)/3
Given:
w = 3
h = 4
l = 5
Work:
V = (whl)/3
V = (3 × 4 × 5)/3
V = (60)/3
V = 20
Compute the volume of the region in the first octant bounded by the cylinder z=1−y2, between x+y=1, and x+y=3.
the volume of the region in the first octant bounded by the cylinder z=1−y^2, between x+y=1, and x+y=3, is 1/6 cubic units.
To find the volume of the region in the first octant bounded by the cylinder z=1−y^2, between x+y=1, and x+y=3, we can use a double integral.
First, we need to find the limits of integration for x, y, and z. The region is bounded by the planes x+y=1 and x+y=3, so the limits of integration for y are y=0 to y=1-x and y=0 to y=3-x. Since the region is in the first octant, the limits of integration for x are x=0 to x=1 and x=1 to x=2. The limits of integration for z are z=0 to z=1-y^2.
Therefore, the volume of the region is given by the double integral:
V = ∫∫R (1-y^2) dA
where R is the region in the xy-plane bounded by x+y=1 and x+y=3.
We can set up the double integral as follows:
V = ∫0^1 ∫0^(1-x) (1-y^2) dy dx + ∫1^2 ∫0^(3-x) (1-y^2) dy dx
Integrating with respect to y first, we get:
V = ∫0^1 [(y-y^3/3) from y=0 to y=1-x] dx + ∫1^2 [(y-y^3/3) from y=0 to y=3-x] dx
Simplifying, we get:
V = ∫0^1 (2/3-x-x^3/3) dx + ∫1^2 (8/3-x-x^3/3) dx
Integrating, we get:
V = [(2x/3-x^2/2-x^4/12) from x=0 to x=1] + [(8x/3-x^2/2-x^4/12) from x=1 to x=2]
Simplifying, we get:
V = 8/3 - 5/4 - 16/3 + 15/4
V = 1/6
Therefore, the volume of the region in the first octant bounded by the cylinder z=1−y^2, between x+y=1, and x+y=3, is 1/6 cubic units.
Visit to know more about cylinder:-
https://brainly.com/question/9554871
#SPJ11
T Identity
Identify the terms,
and
Coeffectants
0.3+0.6ab+0.5b
Given:
The expression is
\(0.3+0.6ab+0.5b\)
To find:
The terms and the coefficients.
Solution:
In an expression, the variables, constants and product of variable and constant separated by positive sign "+" are called terms.
We have,
\(0.3+0.6ab+0.5b\)
Here, the terms are 0.3, 0.6ab and 0.5b. The coefficients of variables are 0.6 and 0.5 respectively and 0.3 is a constant.
Data where the difference between data values has meaning but there is no defined starting point
Examples of such data include stock prices, economic indicators, and meteorological data such as temperature, wind speed, and barometric pressure.
These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.
1. Data where the difference between data values has meaning but there is no defined starting point can be defined as data that is not linearly dependent.
2. Examples of such data include stock prices, economic indicators, and meteorological data. These types of data often have a trend or pattern, but the difference between the data points has meaning and does not necessarily have a defined starting point.
3. Stock prices, economic indicators, and meteorological data all have different scales and can move in different directions, making it difficult to track the exact difference between data points.
4. Despite this, these types of data still allow for meaningful analysis and can be used to make predictions and draw conclusions.
Learn more about data here
https://brainly.com/question/14893265
#SPJ4
how does one do this equasion 6234653928+294292342-424624642x16515615615165161x1156+6466456
The given Expression simplifies to -8.1069556e+27
What is BODMAS rule?BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction. A mathematical expression's order of execution is explained using the BODMAS.
Given an equation to solve,
6234653928 + 294292342 - 424624642 x 16515615615165161 x 1156 + 6466456
Let us consider this Expression as A + B - C * D * E + F, with the corresponding terms being equal
By, the BODMAS rule,
First step: Multiply C, D, E. Let this be G
Now, the equation will look like this: A + B - G + F
Second step: We can add and subtract according to the signs now
On solving, the expression simplifies to -8.1069556e+27
To learn more about BODMAS, refer to the link below:
https://brainly.com/question/29626866
#SPJ1
2(3) to the power of 3 plus 5
Greg needs to buy plastic forks. Brand A has a box of 25 forks for $1.97. Brand B has a box of 48 forks for $2.98
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
To find the price per spoon of brand A, divide the cost by the amount of spoons:
1.99 / 25 = 0.0796
Repeat this process for brand B:
3.89 / 42 = 0.0926
Brand A, at $0.08 a unit, is the better buy of brands A and B.
Hope this helps.
Circle 1 center (-7,6) and radius 2Circle 2 centar (12, 12) and radius 1What transformations can be applied to Circle 1 to prove that the circles are similar?Enter your answers in the boxesThe translation of the center (-7, 6) to the center (12.12) is given by the rule (x,y) →The dilation from Circle 1 to Circle 2 has a scale factor of
The translation to the center (-7,6) to the center (12,12) is given by the rule
\((x,y)\longrightarrow(x+19,y+6)\)On the other hand, the dilation from circle 1 to circle 2 has a scale factor given by the ratio of the given radii, that is,
\(\begin{gathered} \text{scale factor=}\frac{new\text{ lenght}}{\text{original length}} \\ \text{scale factor=}\frac{1}{2} \end{gathered}\)Then the scale factor is 1/2.
a ring is now reduced to £840
this is saving 40% of the original price
work out the original price of the ring
Answer:
The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.
Answer:
1400 pounds
Step-by-step explanation:
the ring is now worth 60% of its original price
the percentage in decimal is equal: 60% = 0.6
\(\frac{840}{0.6} =1400\)
Hope this helps
- 7 + 6n - 9 = -4
Please help
Answer:
N = 2
Step-by-step explanation:
−7+6n−9=−4
−7+6n+−9=−4
(6n)+(−7+−9)=−4(Combine Like Terms)
6n+−16=−4
6n−16=−4
Step 2: Add 16 to both sides.
6n−16+16=−4+16
6n=12
Step 3: Divide both sides by 6.
6n
6
=
12
6
n=2
<3
Answer:
n = 2
Step-by-step explanation:
First combine like terms on the left of the equals sign, and get 6n - 16 = -4. Now add 16 to both sides. You should have 6n = 12. Now divide 6 from both sides and get n = 2
If you are told that you scored in the 80th percentile, do you know from that description exactly how it was calculated?
Knowing that you scored in the 80th percentile does not provide the exact calculation method used. It only indicates your relative standing among a group of scores.
The percentile is a statistical measure that represents the percentage of scores that fall below a particular value. For example, if you scored in the 80th percentile, it means that you performed better than 80% of the scores in the group.
However, the exact calculation method used to determine the percentile is not provided by the statement alone. Percentiles can be calculated in various ways depending on the context and the data distribution. Common methods include interpolation, nearest-rank, and cumulative distribution function approaches.
To fully understand how the 80th percentile was calculated, additional information regarding the calculation method, the dataset, and the scoring distribution would be required. Without those specifics, it is not possible to determine the precise calculation process used to arrive at the 80th percentile.
Learn more about percentile here:
https://brainly.com/question/31654670
#SPJ11
Nancy received a birthday gift of $35. She decided to
use this money to start a savings account and then
deposited $5 into the account every week.
Which equation represents the relationship between
w, the number of weeks she has saved, and s, the
total amount saved?
s = 35W - 5
s= 5W - 35
S = 35W + 5
s = 5W + 35
Answer:
Everybody's laughing in my mind
Rumors spreading 'bout this other guy
Do you do what you did when you did with me
Does he love you the way I can
Did you forget all the plans that you made with me?
'Cause baby I didn't
That should be me, holding your hand
That should be me, making you laugh
That should be me, this is so sad
That should be me
That should be me
That should be me, feeling your kiss
That should be me, buying you gifts
This is so wrong
I can't go on
Till you believe
That should be me
That should be me
the most complex scheduling algorithm is the multilevel feedback-queue algorithm. t f?
The most complex scheduling algorithm is the multilevel feedback-queue algorithm: True.The most complicated scheduling algorithm is multilevel feedback-queue algorithm.
In computing, a scheduling algorithm is utilized to determine the sequence of instructions that will be performed by a computer's processor. Various scheduling techniques are used to optimize the use of the processor by multiple processes or threads in multi-tasking environments.The algorithm that determines the priority of the CPU’s process is known as a scheduling algorithm.
It is essential for a computer system because it helps allocate resources effectively. There are different scheduling algorithms used in different environments. The most complicated is the multilevel feedback-queue algorithm.This algorithm is used in systems that require background and foreground processing. There are several scheduling queues, each with its priority level, in this algorithm. It determines the priority of the processes, and the CPU allocates it according to that priority level.
Lower-level processes have a shorter quantum time, while higher-level processes have a longer quantum time.A process's priority can change during runtime with this algorithm, depending on its type and time spent waiting in a queue. When a process completes execution in one queue, it is moved to the next queue. It is either promoted to a higher-priority queue if it has used a lot of CPU time or demoted to a lower-priority queue if it has spent too much time waiting. This helps to make better use of the CPU's available resources.The multilevel feedback-queue algorithm is the most complex of all scheduling algorithms.
The rationale is simple: it employs several priority queues and changes process priorities during runtime. In a busy system, scheduling techniques like multilevel feedback-queue algorithms are necessary to ensure resource allocation is managed effectively.
For more information on scheduling algorithm visit:
brainly.com/question/28501187
#SPJ11
since r is so widely used, it is appropriate to calculate r for nonlinear data.true/false
since r is so widely used, it is appropriate to calculate r for nonlinear data: False.
The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.
In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.
n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.
When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.
To know more about nonlinear, visit:
https://brainly.com/question/31510530
#SPJ11
Erica says that she can run 16 miles in two hours, but her father wants to know how many feet she ran. How can Erica convert the 16 miles into feet? In complete sentences explain how she can convert miles into feet and compute the number of feet she can run in two hours.
2. Explain how to find the surface area of any prism.
1.49x10^-7 in standard form
Answer:
1.49*10^-7
I'm not entirely sure if it is correct but it's my best guess. Sorry if it is wrong...
Answer:
0.000000149
Step-by-step explanation:
Simplify the expression.
3y - 4.6 + 1.3 + 2.1y
Answer:
5.1y-3.3
Explination: none
Answer:
5.1y-3.3
Step-by-step explanation:
I am sorry if its wrong