The amount of mix would be 16 and the amount of milk would be 8 work is in the picture
1. Which of the following are graphs of functions? Choose all that apply.
Answer:
All except B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
po keep on learning keep safe
Solve the following inequality: 2x^2 + x - 1/x^2-x<1
Answer:
−1<x<0 or 0<x<1
Step-by-step explanation:
Answer:
I believe it is : -1 < x < 0 OR 0 < x < 1
Or if you want it in interval notation form:
(-1, 0) ∪ (0, 1)
Step-by-step explanation:
hope this helps, lol! <3
Help, will give 28 points
Answer:
you are crazy
Step-by-step explanation:
that is a whole assignment
A survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This year a new survey was conducted on a random sample of 200 students from this university, and it was found that 50 of them smoke. We want to find if these data provide convincing evidence to suggest that the percentage of students who smoke has changed over the last five years. The p-value of the test is smaller than the significance level, 0.05.
Required:
a. Find the conclusion of the test.
b. Do you expect that the 95% confidence interval for the sample proportion will contain 18%?
The conclusion of the test is that we reject the null hypothesis
We would expect that the true population proportion falls within the 18% interval
a. Finding the conclusion of the test.Given that
The p-value of the test is lesser than the significance level, 0.05.
It implies that the null hypothesis has to be rejected
b. Expectation of the confidence intervalGiven that
Sample size, n = 200
Sample that smoke = 50
By definition of confidence interval,
We would expect that the true population proportion falls within the 18% interval if the 95% confidence interval for the sample proportion includes ±18%
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Algebraically solve for the exact value of all angles in the interval [O,4) that satisfy the equation tan^2(data)-1=0 cos(data)sin(data)=1
The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:
data = 45°, 135°, 315°.
To solve the given trigonometric equations, we will consider each equation separately.
tan²(data) - 1 = 0:
First, let's rewrite tan²(data) as (sin(data)/cos(data))²:
(sin(data)/cos(data))² - 1 = 0
Now, we can factor the equation:
(sin²(data) - cos²(data)) / cos²(data) = 0
Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):
((1 - cos²(data)) - cos²(data)) / cos²(data) = 0
Simplifying further:
1 - 2cos²(data) = 0
Rearranging the equation:
2cos²(data) - 1 = 0
Now, we solve for cos(data):
cos²(data) = 1/2
cos(data) = ± √(1/2)
cos(data) = ± 1/√2
cos(data) = ± 1/√2 * √2/√2
cos(data) = ± √2/2
From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:
data = 45° and data = 315°.
cos(data)sin(data) = 1:
Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):
sin(data) = 1/cos(data)
sin(data) = 1/√2
From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:
data = 45° and data = 135°.
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Which classifications of the real number system describe all numbers in the set? (Choose all correct answers.)
{0.4, 10,-√196,1/3)
Answer:
Rational
Step-by-step explanation:
Write the following expression using an exponent:
4⋅4⋅4
Answer: 4^3
Step-by-step explanation: A number (4 in this case) is raised to the number of times it is multiplied by itself. 4 is multiplied by itself 3 times so 3 is the exponent.
two groups of friends are taking taxis to a party in yardley. the first taxi leaves from the financial district and travels at 33 miles per hour. at the same time, the other taxi leaves from the marina and travels 45 miles per hour. the two taxis are 5 miles apart and heading directly toward each other. how much time will it take for the taxis meet?
Answer:
3.85 minutes
Step-by-step explanation:
You want to know the time it takes for taxis traveling 33 mph and 45 mph toward each other to meet if they start 5 miles apart.
Closing timeThe speed at which the taxis approach each other is (33 mph +45 mph) = 78 mph. The time it takes to close the 5-mile gap is ...
time = distance/speed
time = (5 mi)/(78 mi/h) = 5/78 h ≈ 0.0641 h
In minutes, the time is ...
(5/78 h)(60 min/h) = 300/78 min ≈ 3.85 minutes
__
Additional comment
That's about 3 minutes 50.8 seconds.
Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to the nearest tenth of a percent. 10 20 40 50 60 80 10 20 40 60 60 80 20 30 50 60 70 90 20 30 50 60 80 90.
A frequency distribution and find the relative frequencies for the given number set is:
Number frequency relative frequency
10 2 2/24 = 8.3%
20 2 2/24 = 8.3%
30 4 4/24 = 16.7%
40 2 2/24 = 8.3%
50 3 3/24 = 12.5%
60 5 5/24 = 20.8%
70 3 3/24 = 12.5%
80 1 1/24 = 4.2%
90 2 2/24 = 8.3%
In this question, we need to make a frequency distribution and find the relative frequencies for the given number set.
Number frequency relative frequency
10 2 2/24 = 8.3%
20 2 2/24 = 8.3%
30 4 4/24 = 16.7%
40 2 2/24 = 8.3%
50 3 3/24 = 12.5%
60 5 5/24 = 20.8%
70 3 3/24 = 12.5%
80 1 1/24 = 4.2%
90 2 2/24 = 8.3%
Total : 24
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Let f be the function with derivative given by f ' (x) = sin (x^2 +1). How many relative extrema does f have on the interval 2< x < 4?
a. One
b. Two
c. Three
d. Four
e. Five
The function f(x) has at most one relative extremum on the interval 2 < x < 4, based on the behavior of its derivative f'(x) = sin(x^2 + 1). Therefore, the correct option is a. One.
To determine the number of relative extrema of the function f(x) on the interval 2 < x < 4, we need to analyze the behavior of its derivative f'(x).
We have that f'(x) = sin(x^2 + 1), we need to examine where the derivative changes its sign within the interval (2, 4) to identify the relative extrema.
Since the sine function oscillates between -1 and 1, we can observe that sin(x^2 + 1) will also oscillate between -1 and 1 as x^2 + 1 varies.
However, since the interval (2, 4) is relatively small, the value of x^2 + 1 will not vary significantly, and the sine function will not complete multiple oscillations within this interval.
Therefore, there will be at most one sign change for sin(x^2 + 1) within the interval (2, 4), indicating that f(x) may have at most one relative extremum within this interval.
Hence, the correct answer is: a. One.
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1) The following are all least squares assumptions with the exception of:
A) The conditional distribution of u; given X; has a mean of zero.
B) The explanatory variable in regression model is normally distributed.
C) (Xi, Yi), i = 1,..., n are independently and identically distributed.
D) Large outliers are unlikely.
2) The interpretation of the slope coefficient in the model Yi = 30+ẞ1 In(Xi) is as follows:
A) a 1% change in X is associated with a ẞ1 % change in Y.
B) a 1% change in X is associated with a change in Y of 0.01 31.
C) a change in X by one unit is associated with a ẞ1 100% change in Y.
1) The following are all least squares assumptions with the exception of:
B) The explanatory variable in regression model is normally distributed.
Explanation:Least Squares AssumptionsThe assumption of Linearity is one of the least squares assumptions, which says that the relationship between the explanatory variable and the response variable is linear. The Constant Variance Assumption is another assumption, which states that the variance of the error terms is the same across all explanatory variable values.
The assumption of Independence requires that each data point is independent of all other data points.The Normality Assumption is another assumption, which states that the error terms are normally distributed. The fifth assumption is that the errors are random and that large outliers are unlikely. This is the only assumption that is not part of least squares regression.
2) The interpretation of the slope coefficient in the model Yi = 30+ẞ1 In(Xi) is as follows:
B) a 1% change in X is associated with a change in Y of 0.01 31.Explanation:The interpretation of the slope coefficient in the model Yi = 30+ẞ1 In(Xi) is as follows: a 1% change in X is associated with a change in Y of 0.01 31. Here, β1 is the slope coefficient and In(Xi) is the natural logarithm of Xi. This implies that a 1% increase in X results in a 0.0131 unit increase in Y, given that all other variables are kept constant.
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Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown?
(PLEASE PUT HOW YOU GOT THE ANSWER ASWELL, I’LL MAKE YOU BRAINLEST!!)
Answer:
The percent of the markdown price is 20%.
Step-by-step explanation:
$85 x 20% = $17
you subtract $17 from $85 and get $68 !
U welcome :) have a great day !
The markdown percent is 20%.
What is percentage?A relative value indicating hundredth parts of any quantity.
Given that, the original price of a pair of shoes is $85 but at sale it was $68,
Markdown percent = \(\frac{original price - current price}{original price} *100\)
= (85-68)/85*100
= 17/85*100
= 20%
Hence, The markdown percent is 20%.
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why can we simply take the dot product when projecting our recorded data vector onto the principal component vectors?
The dot product is used to determine the projection of one vector onto another. In the case of projecting recorded data onto principal component vectors, we can use the dot product because it allows us to calculate the component of the recorded data vector in the direction of the principal component vector.
Here are the steps involved in projecting a recorded data vector onto a principal component vector using the dot product:
1. Normalize the principal component vector: Before performing the dot product, it is important to normalize the principal component vector to ensure its length is 1. This allows us to measure the projection accurately.
2. Calculate the dot product: Once the principal component vector is normalized, we can calculate the dot product by multiplying the corresponding components of the recorded data vector and the normalized principal component vector and summing them up.
3. Obtain the projection: The dot product gives us the scalar value representing the projection of the recorded data vector onto the principal component vector. This scalar value indicates the magnitude of the recorded data vector in the direction of the principal component vector.
By taking the dot product, we can effectively project our recorded data vector onto the principal component vectors and extract meaningful information about the data's variance along each principal component.
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help please help asap :)
Answer:
4x^3
Step-by-step explanation:
20 x^5 + 28 x^4 + 12x^3
4*5*x^5 + 4*7*x^4 + 4*3*x^3
Factor out 4x^3
4x^3 ( 5x^2 + 7x +3)
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover the exact distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Answer:
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point
Step-by-step explanation:
Linda walks in a straight line at 2 miles/hour
then after t ( hours time) she is 2 (m/h) * t = d (L)
for Tom running at 6 m/h starting one hour later to cover the same distance d(L)
d(L) = 6 m/h * ( t - 1 ) then:
2 (m/h) * t = 6 m/h * ( t - 1 )
2*t = 6*t - 6
4*t = 6
t = 6/4
t = 1,5 h
Checking that result.
we see that in 1,5 hours Linda has covered 2* 1,5 = 3 miles
and in 0.5 hours Tom covered the same distance 0,5 * 6 = 3 miles
NOTE: Remember that tom started one hour later.
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
b) In this case
d(T) = 6* ( t - 1 ) must be equal to twice of the Linda distance
d(L) = 2 * 2 * t
6*t - 6 = 4*t
2*t = 6
t = 3
To check it
in 3 hours Linda had covered 3 * 2 = 6 miles
in 2 hours Tom had covered 2 * 6 = 12 miles
Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4
The statement is false because adding a vector to a set of vectors can increase its span, but the new span is not necessarily the same as the original span.
The statement is false. To prove this, consider three vectors u1, u2 and u3 that span R3, and a vector u4 that is not a linear combination of
u1, u2 and u3.
The span of
{u1, u2, u3, u4}
will be a subset of the span of
{u1, u2, u3}.
This means that the span of
{u1, u2, u3, u4}
will contain all the vectors that the span of {u1, u2, u3} contains, plus the vector u4. However, it does not necessarily mean that the span of
{u1, u2, u3, u4} will be the same as the span of {u1, u2, u3},
as there may be other vectors that are in the span of
{u1, u2, u3, u4}
but not in the span of {u1, u2, u3}. Hence, the statement is false.
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The complete question is
Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4 = 0. The span of {u1, u2, u3, u4} is a subset of the span of {u1, u2, us}, but the span of {u1, u2, u3, u4} is not the same as the span of {u1, u2, us}.
Given g(x) = -4x-2, find g(-2)
Answer:
g(-2) = 6
General Formula and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
g(x) = -4x - 2
g(-2) is x = -2
Step 2: Evaluate
Substitute: g(-2) = -4(-2) - 2Multiply: g(-2) = 8 - 2Subtract: g(-2) = 6The College Board reported the following mean scores for the three parts of the SAT: Critical Reading 502 Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is σ = 100. If required, round your answers to two decimal places. (a) For a random sample of 30 test takers, what is the standard deviation of x for scores on the Critical Reading part of the test? (b) For a random sample of 60 test takers, what is the standard deviation of x for scores on the Mathematics part of the test? (c) For a random sample of 90 test takers, what is the standard deviation of x for scores on the Writing part of the test?
The standard deviation of x for scores on the Critical Reading part of the test is approximately 18.26.
To find the standard deviation of x for scores on the Critical Reading part of the test, we can use the formula:
\(σ(x) = σ / √n\)
where σ is the population standard deviation and n is the sample size.
Plugging in the values given in the question:
\(σ(x) = 100 / √30\)
≈ 18.26
Therefore, the standard deviation of x for scores on the Critical Reading part of the test is approximately 18.26.
(b) Using the same formula, we can find the standard deviation of x for scores on the Mathematics part of the test:
\(σ(x) = 100 / √60\)
≈ 12.91
So, the standard deviation of x for scores on the Mathematics part of the test is approximately 12.91.
(c) Again, using the same formula, we can find the standard deviation of x for scores on the Writing part of the test:
\(σ(x) = 100 / √90\)
≈ 10.58
Hence, the standard deviation of x for scores on the Writing part of the test is approximately 10.58.
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Measure of angle 3 need help
Answer: ∠3 = 120°
Step-by-step explanation:
∠3 and m∠60° are linear pairs so they had up to 180°
∠3 + 60 = 180
Subtract both sides by 60
∠3 = 120
17% of 150
What is the percent
Answer: 25.5
Step-by-step explanation:
Multiply:
17 × 150/100 =
Then you get 25.5
I hope I helped you with this question. Have a great day!
joe scored in the 30th percentile on a standardized test. he brags to his friends that he scored better than 70% of the people who took the test. is joe correct? explain your answer.
No, Joe is not correct.
The percentile score is a measure of relative standing, indicating the percentage of scores that fall below a certain score. So, if Joe scored in the 30th percentile, it means that 30% of the scores on the test are below his score, and 70% of the scores are above his score.
This does not mean that he scored better than 70% of the people who took the test; it only means that his score is better than 30% of the scores.
The 30th percentile means that Joe scored higher than 30% of the people who took the test and lower than 70% of the people who took the test. So, Joe cannot claim that he scored better than 70% of the people who took the test.
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the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle
Answer: 192
Step-by-step explanation:
Use algebra
x + 3x + x + 3x = 64 (perimeter)
Combine Like Terms
8x = 64
x = 8
8 + 24 + 8 + 24 = 64
24/8 = 3
Solve the equation below and explain how you solved it
x- 5 (x-1) = x- (2x-3)
(No bots or u will be reported)
Answer:
x = \(\frac{2}{3}\)
Step-by-step explanation:
x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides
x - 5x + 5 = x - 2x + 3
- 4x + 5 = - x + 3 ( add x to both sides )
- 3x + 5 = 3 ( subtract 5 from both sides )
- 3x = - 2 ( divide both sides by - 3 )
x = \(\frac{2}{3}\)
Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes?
Sally, Sarah, Sam worked together to earn spending money Together they earned $14 50 per hour They worked for a total of 15 hours. They split the total earnings equally between them. If Sarah then went and bought a pair of shoes for $22.78 how much money did she have left?
Answer:
$49.72
Step-by-step explanation
14.50x15=217.5
217.5/3=72.5
72.5-22.78=49.72
14.50 (Cost per hour)
X 15 (Hours they work)
----------
217.5 (pay per day)
217.5 ÷ 3 (amount of people) = 72.5
Sally Sarah and Sam earn $72.5
72.5 - 22.78 (cost for shoes) = 49.72
Sarah will have 48.72 left
Angel is going to drive from his house to City A without stopping. Angel's house is 200 miles from City A and after driving for 4 hours, he will be 40 miles away from City A. Write an equation for D,D, in terms of t,t, representing Angel's distance from City A tt hours after leaving his house.
THIS IS KINDA URGENT
Answer: -40t+200
Step-by-step explanation:
The equation for D, in terms of t, represents Angel's distance from City A tt hours after leaving his house is D = 40t.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
Angel is going to drive from his house to City A without stopping. Angel's house is 200 miles from City A.
After driving for 4 hours, he will be 40 miles away from City A.
From the data given in the question:
200 - 40 = 160
160/4 = 40 km/h
D = 40t
Thus, the equation for D, in terms of t, represents Angel's distance from City A tt hours after leaving his house is D = 40t.
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Melitta found out that if he walk really fat during her morning exercie, he can cover 2 1/4 mile in 3/4 of an hour. How fat i he walking in mile per hour?
The speed of Melitta in miles per hour is 3 mph .
In the question ,
it is given that
the distance covered by Melitta for morning exercise in 3/4 of an hour = \(2\frac{1}{4}\) mile =
we need to convert the mixed fraction to normal fraction ,
So , \(2\frac{1}{4}\) = (2*4 + 1)/4 = (8 + 1)/4 = 9/4 mile
we know that the speed \(=\) distance / time
So , Speed of Melitta = (distance covered) / (time taken )
Speed = (9/4)/(3/4)
= 9/4 × 4/3
= 3 miles per hour .
Therefore , The speed of Melitta in miles per hour is 3 mph .
The given question is incomplete , the complete question is
Melitta found out that if she walk really fast during her morning exercise, she can cover \(2\frac{1}{4}\) mile in 3/4 of an hour. How fast is she walking in mile per hour ?
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find an equation of a plane containing the three points (-4, 1, -4), (-2, 5, 1), (-2, 6, 3) in which the coefficient of x is 3
The equation of the plane is: 3x + 24y - 2z + 31 = 0
To find an equation of a plane containing three points:
We can use the fact that the normal vector to the plane is perpendicular to any vector lying in the plane. We can find the normal vector by taking the cross product of two vectors lying in the plane, and then use the equation of a plane in point-normal form.
Let's first find two vectors lying in the plane by taking the differences between the three given points:
v1 = <(-2) - (-4), 5 - 1, 1 - (-4)> = <2, 4, 5>
v2 = <(-2) - (-4), 6 - 1, 3 - (-4)> = <2, 5, 7>
Now we can take the cross product of v1 and v2 to find a normal vector to the plane:
n = v1 x v2 = <(4)(7) - (5)(5), -(2)(7) + (5)(2), (2)(5) - (4)(2)> = <-3, -24, 2>
We want the coefficient of x in the equation of the plane to be 3, so we need to scale the normal vector by a factor of -1/3:
n' = (1/3)<3, 24, -2> = <1, 8, -2/3>
Now we can use any of the three given points to write the equation of the plane in point-normal form. Let's use the first point (-4, 1, -4):
(x - (-4), y - 1, z - (-4)) · <1, 8, -2/3> = 0
Simplifying and multiplying through by 3 to eliminate the fraction, we get:
3x + 24y - 2z + 31 = 0
So an equation of the plane containing the three points (-4, 1, -4), (-2, 5, 1), (-2, 6, 3) in which the coefficient of x is 3 is 3x + 24y - 2z + 31 = 0.
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please help me Find the quotient of 24 and 12.
Answer:
2
Step-by-step explanation:
24/12 = 2
Answer:2??????? Are you dividing 24 by 12????
Step-by-step explanation:
linear equation that has a slope of 5/6 and y-intercept of 14
Answer:
Slope-intercept form is y = 5/6x + 14