Answer:
4 hours
Step-by-step explanation:
First car distance
d = 45h
Second car distance
d = 25h + 80
After how many hours will the two cars be the same distance from the Math City?
Equate both car's distances
45h = 25h + 80
Collect like terms
45h - 25h = 80
20h = 80
Divide both sides by 20
h = 80 / 20
= 4
h = 4 hours
The two cars will be at the same distance from the Math City in 4 hours
the null and alternative hypotheses for a hypothesis test of the difference in two population proportions are: null hypothesis: p 1 equals p 2 alternative hypothesis: p 1 is greater than p 2 notice that the alternative hypothesis is a one-tailed test. suppose proportions ztest method from statsmodels is used to perform the test and the output is (1.13, 0.263). what is the p-value for this hypothesis test? select one.
The p-value for this hypothesis test is 0.263.
In this case, the null and alternative hypotheses for a hypothesis test of the difference in two population proportions are:
null hypothesis: p1 = p2
alternative hypothesis: p1 > p2
Notice that the alternative hypothesis is a one-tailed test.
Suppose proportions z test method from stats models is used to perform the test and the output is (1.13, 0.263).
To find the p-value for this hypothesis test, we need to use the output from the statsmodels function.
The second number in the output is the p-value.
Therefore, the p-value for this hypothesis test is 0.263.
The first number in the output is the z-value, which is not relevant to finding the p-value. Therefore, we can ignore it. Answer: 0.263
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Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely.
S = {1, 3, 5, 7, 9}, E = {1, 5, 7}
The probability P(E) is 13/15.
According to the statement
we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}
And we have to find the probability P(E).
So, For this purpose
Recall the formula for the probability of an event E in case when all outcomes are equally likely:
P(E)= n(E) /n(S)
in which S is the sample space.
But we have the S = {1, 3, 5, 7, 9},
so, n(S) = Sum of all outcomes / number of outcomes
n(S) = 1+3+5+7+9 /5
n(S) = 25 /5
n(S) = 5 and
For n(E) = Sum of all outcomes / number of outcomes
n(E) = 1+5+7 /3
n(E) = 13 /3
n(E) = 13 /3
Substitute these values in the above written formula then
P(E)= n(E) /n(S)
P(E)= (13/3)/ 5
P(E)= 13 /15
So, The probability P(E) is 13/15.
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Can you show working out for both parts?
Answer :-
a) = Let cement, sand and stone in the concrete be x, 2x and 3x,
Each bag of dry concrete is 30 kg,
so,
x + 2x + 3x = 30
or, 6x = 30
so, x = 5
Now,
one bag contaings 2×5 = 10 kg of sand.
He buys just enough sand,stone and cement to make 50 bags of dry concrete,
1 bag = 10 kg sand
50 bags = 10 × 50 kg sand = 500 kg of sand
So,
He buys 500 kg of sand.
b) =
1 bag contains
5 kg of cement, 2×5 = 10 kg of sand and 3×5 = 15 kg of stone,
so,
25 kg of cement = 5.50 euro
5 × 50 kg of cement = 5.50/25 × 250 euro = 55 euro
20 kg of sand = 2 euro
500 kg of sand = 2/20 × 500 euro = 50 euro
15 kg of stone = 3.9 euro
15 × 50 kg = 3.9/15 × 750 euro = 195 euro
Total for 50 bags, he spent 50 + 195 + 55 euro = 300 euro.
He sold it for 396 euro.
His profit percent = (396 - 300)/300 × 100%
So, His profit percent = 32%.
Thomas believes a particular coin is coming up heads less than 50% of the time. He would like to test the claim p < 0.5. To perform this test, he flips the coin 450 times. Out of those 450 flips, he observes more than half of the flips ended up heads. What do we know about the p-value for this situation? a. The p-value will be larger than 1. b. The p-value will be exactly 0
c. The p-value will be smaller than most reasonable significance levels. The p-value will be negative. d. The p-value will be exactly 1. e. The p-value will be larger than any reasonable significance level. f. We need more information. g. The p-value could be large or small.
The answer is option c.
The p-value will be smaller than most reasonable significance levels. The p-value is defined as the probability of obtaining the observed results or a more extreme result, assuming that the null hypothesis is correct.
In the given situation, the null hypothesis is that the coin comes up heads 50% of the time or p ≥ 0.5. The alternative hypothesis is that the coin comes up heads less than 50% of the time or p < 0.5. A significance level is used to determine if the null hypothesis should be rejected.
If the p-value is smaller than the significance level, the null hypothesis is rejected, and the alternative hypothesis is accepted. If the p-value is larger than the significance level, the null hypothesis is not rejected. In this situation, Thomas observed more than half of the flips ended up heads, so he rejects the null hypothesis.
As a result, the p-value must be smaller than the significance level. Therefore, we know that the p-value will be smaller than most reasonable significance levels.
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Someone please help me with this question and explain to me how to solve it
Answer:
Okay so x greater then or equal to 7
To plot ask yourself:
Open or Closed Circle:
Open->, <
Closed-Greater then or equal to or less then or equal to
Also ask:
am i ploting to the left or to the right
Step-by-step explanation:
It is going to be a closed circle, since it is greater then or equal too
And you cand use the sign so it is going to go to the left <------ (that way)
You can use the sign to guied you ex: x>5 you are going to the right ---->
Also, for this topic just know if the equation is like this: 3>x
MAKE SURE TO SWICH IT TO THIS:
x<3
YOU HAVE TO SWITCH THE EQUATION AROUND AND THE SIGN
I hope this helped! :D
how many times bigger is 2.7 than 0.03
55 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!!!! PLS HELP ASAP!!!!!
Danielle is trying to solve the equation \(8^x=\frac{1}{64}\). Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.
Answer:
x=-2
Step-by-step explanation:
Given equation:
8^x= 1/64
Ensure both sides of the equation are in power format by changing 1/64
1/64 = 64^-1
8^x = 64^-1
2^3(x) = 2^6(-1)
The bases will cancel out each other
3(x) = 6(-1)
3x = -6
x = -6/3
x = -2
Check
8^x = 1/64
x = -2
8^-2
= 1/8²
= 1/8*8
= 1/64
Connor has five nickels in one hand and some dimes in his other hand. He has more than two times as many dimes as nickels. He has fewer than three times as many dimes as nickels.
Complete question :
How many dimes might he have?
How many coins would he have altogether?
Answer:
11, 12, 13, 14 ;
16, 17, 18, 19
Step-by-step explanation:
Let :
Nickel = n
Dimes = d
Total number of nickels = 5
He has more than 2 times as many dimes as nickels ;
d > 2n
d > 2*5 ; d > 10
He has fewer than 3 times as many dimes as nickels;
d < 3n
d < 3*5 ; d < 15
Meaning he has more than 10 dimes but less than 15.
10 < d < 15
So, d could be ;
11, 12, 13, 14
Number of coins altogether :
11 + 5 = 16
12 + 5 = 17
13 + 5 = 18
14 + 5 = 19
has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$29
$19
$21
$30
$35
$15
plz help me answer this question !!!
Answer:
14.88m²
if you need the solution tell me
Which equation has infinitely many solutions?
A. 12 + 4x = 6x + 10 – 2x
B. 5x + 14 – 4x = 23 + x – 9
C. x + 9 – 0.8x = 5.2x + 17 – 8
D. 4x – 2x = 20
Answer:
it might be c or a i go with c
Step-by-step explanation:
not for sure just a best guess
Math HomeworkWhich of the following is a representation of 4.082?a. 4 +8/10 + 2/1,000b. Four and eighty-two thousandthsc. Four and eight and two hundredthsd. 4+8x 1/10+2x1/100chicots sold for the Frida
We must represent the number 4.082, the options you are giving us are from an apparent decomposition of the previous number
\(4.082=4+0.08+0.002\)The correct option is B: Four and eighty-two thousandths, It is indeed 4 whole units and 82 thousandths. The other options are not correct
Please help! I’ll mark brainlist and 5 stars!
(You have to see which one is right for the sentence provided, and which ones are false out of A-D)
A. The equation of the line is y = 1/2x
B. Sasha can make 60 gift bags in 2 hours.
C. The constant of proportionality is l = 1/2
D. Sasha can make 2 bags per minute.
Answer:
D
Step-by-step explanation:
The reason D is false is because it states that Sasha can make 2 bags per minute while she cant make 2 bags per minute. She can make half a bag per minute. D is wrong 100%
Answer:
Step-by-step explanation:
Distance covered = speed × time.
Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.
This means distance covered while running would be
3.8 × 1/2 = 1.9 meters
Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be
1.5 × 1/2 = 0.75 meters
Total distance that Sasha covered while running and walking in 60 minutes would be
1.9 + 0.75 = 2.65 meters
Step-by-step explanation:
Identify the inverse of f(x) = −1 + x^3. Determine whether it is a function and state its domain and range
Answer:
y=\(\sqrt[3]{x-1}\)
Step-by-step explanation:
y=x^3-1
Switch y and x
x=y^3-1
Solve for y
x-1=y^3
y=\(\sqrt[3]{x-1}\)
2. A line with slope passes through the point (1,3
a. Explain why (3, 6) is on this line.
b. Explain why (0, 0) is not on this line.
Answer:
Step-by-step explanation:
If a line with a slope passes through a point with a value such as in this one, which is (1,3), then it must have a y-intercept and a slope. The y-intercept is when the x-value's value is 0 but the y-value is more than 0.
(3,6) is on the line as it corresponds with the slope.
(0,0) is not on this line as the y-value nor the x-value has a coordinate, which is a requirement to make it an ordered pair.
What is the velocity of an airplane traveling 4500 miles West over 10 hours?
The velocity of the airplane traveling 4500 miles West over 10 hours is 450 miles per hour. This calculation provides the speed at which the airplane is moving in the given direction.
To calculate the velocity of an airplane traveling 4500 miles West over 10 hours, we need to divide the distance traveled by the time taken.
Velocity is defined as the rate at which an object moves in a specific direction, and it is given by the formula:
Velocity = Distance / Time
In this case, the distance traveled by the airplane is 4500 miles West, and the time taken is 10 hours. Let's calculate the velocity:
Velocity = 4500 miles / 10 hours
Dividing 4500 by 10, we find:
Velocity = 450 miles per hour
Therefore, the velocity of the airplane traveling 4500 miles West over 10 hours is 450 miles per hour. This calculation provides the speed at which the airplane is moving in the given direction.
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Use the sum and difference formulas to verify each identity. cos(θ+3π/2)=sinθ
We have verified that cosine equation cos(θ + 3π/2) is equal to sinθ using the sum and difference formulas.
To verify the identity cos(θ + 3π/2) = sinθ using the sum and difference formulas, we can rewrite the left side of the equation and simplify it using the trigonometric identities.
Using the sum formula for cosine, we have:
cos(θ + 3π/2) = cos(θ)cos(3π/2) - sin(θ)sin(3π/2)
Now, let's evaluate cos(3π/2) and sin(3π/2):
cos(3π/2) = 0 (cosine of 3π/2 is zero)
sin(3π/2) = -1 (sine of 3π/2 is -1)
Substituting these values back into the equation:
cos(θ + 3π/2) = cos(θ)(0) - sin(θ)(-1)
= 0 + sin(θ)
= sinθ
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How do you know that the solution is between the two rows in the table corresponding to x=0.5 and x=1?
Answer:
Step-by-step explanation:
if you divide the other equations you will get to x=0.5 and x=1
Find the value of x if the perimeter is 20
Answer:
x = 3Step-by-step explanation:
Find the value of x if the perimeter is 20
20 = X + 4X - 6 + X + 8
20 + 6 - 8 = 6X
18 = 6X
x = 18 : 6
x = 3
-----------------
check
20 = 3 + 3 * 4 - 6 + 3 + 8
20 = 20
the answer is good
Answer:
Value of x is 3
Step-by-step explanation:
Given perimeter of figure = 20
x + (x+8) + (4x-6) = 20
x + x + 8 + 4x - 6 = 20
6x + 2 = 20
6x = 20 - 2
6x = 18
x = 18 / 6
x = 3
a large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. twenty-five job applicants are randomly selected from one large university and they produce a mean score and standard deviation of 183 and 12, respectively. use a 0.05 level og significance to test the claim that this sample comes from a population with a mean score greater than 160. use the P-value method of testing hypotheses.
Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.
First, we calculate the test statistic, which is the t-value. The formula for the t-value is:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
Plugging in the given values, we have:
t = (183 - 160) / (12 / √(25))
= 23 / (12 / 5)
= 23 * (5 / 12)
≈ 9.58
Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.
Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).
Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
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In the figure above, rectangle R'S'T'Q' is a dilation of rectangle RSTQ. What is the scale factor of the dilation?
Answer:
A. \( \frac{1}{5} \)
Step-by-step explanation:
The scale factor of dilation is the ratio of the length of any of the corresponding sides of rectangle R'S'T'Q to rectangle PQRS.
R'S' = 3
RS = 15
Thus,
Scale factor = \( \frac{R'S'}{RS} = \frac{3}{15} \)
Simplify
Scale factor = \( \frac{1}{5} \)
Have you ever done something and regretted it literally 2 seconds later
Well I have
I decided it would be a good idea to eat a small bag of takis
somehow forgetting that I literally cant eat spicy food without crying
so I ate the bag and now I feel like I am dying
so thank you for listening to my ted talk
Answer:
sos
Step-by-step explanation:
why is an understanding of the central limit theorem essential to the concepts of estimation an hypothesis testing?
Because it permits one to assume that the sampling distribution of the mean would typically be normally distributed, the central limit theorem is helpful when examining big data sets. This makes statistical analysis and inference simpler.
Hypothesis :
In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.
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f(x) = x + 2
g(x) = x - 4
(f g)(x) =
Answer:
x2−2x−8
Step-by-step explanation:
What is the length of PR?
Answer:
D
Step-by-step explanation:
By observation we just know that one of the angles of two triangles is the same.
There are two sides that are not equal in ability to determine similarity.
when we say an argument is valid, we mean that all the claims in the argument are true. true false
A logical argument cannot have a true conclusion and all true premises. A logical argument cannot have all true premises if it has a false conclusion. So at least one of the premises must be untrue.
If the premises and conclusion are connected in such a way that if the premises were true, then the conclusion would also have to be true, then the argument is considered valid.
FALSE. A strong argument has all true premises and is valid. Since a good argument is valid, it follows that the conclusion must also be true if all of the premises are true. A sound argument must have a true conclusion since a sound argument also has all true premises.
Hence we get the required answer.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
The statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.
What is the probability?From the question, the spinner has:
8 sections, with:
1 orange section2 purple sections2 yellow sections3 blue sections.So probability of one getting on any section is = 1/8, or 0.125.
Therefore, the probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.
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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis
The equations representing the circle having a diameter of 12 units and a center lying on y-axis are x² + (y – 3)² = 36, and x² + (y + 8)² = 36, making options 1, and 5 the two choices.
In the question, we are looking for the equations of the circle having a diameter of 12 units and a center lying on y-axis.
The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.
A circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.
A circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.
Thus, the equation of the circle, with a diameter of 12 units and the center lying on the y-axis takes the form:
x² + (y - k)² = 6², or, x² + (y - k)² = 36.
From the given options, the equations x² + (y – 3)² = 36, and x² + (y + 8)² = 36, are of this form.
Thus, the equations representing the circle having a diameter of 12 units and a center lying on y-axis are x² + (y – 3)² = 36, and x² + (y + 8)² = 36, making options 1, and 5 the two choices.
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The provided question is incomplete. The complete question is:
"Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x² + (y – 3)² = 36x² + (y – 5)² = 6(x – 4)² + y² = 36(x + 6)² + y² = 144x² + (y + 8)² = 36."What is the equation of a line that contains the points (5, 0) and (5,-2)?
Ox=5
Ox=0
Oy=0
Oy=5
Answer:
x=5
you're welcome
A new piece of industrial equipment will depreciate (or decrease) in value as time goes on. Suppose the rate at which the value of a new machine changes is 500(t-12) in dollars per year), O ≤ t ≤ 10, where / is the number of years since the machine is newly bought. How much is the total decrease in value of the machine in the second 5 years after it was bought? A. A decrease in value of $58750 B. A decrease in value of $35000 C. A decrease in value of $23750 D. A decrease in value of $11250
the total decrease in value of the machine in the second 5 years after it was bought is $35000. option B is correct.
To find the total decrease in value of the machine in the second 5 years after it was bought, we need to integrate the rate of change of value over that time period.
Given that the rate at which the value changes is 500(t - 12) dollars per year, we can integrate this expression over the interval t = 12 to t = 17 (second 5 years).
The integral of 500(t - 12) with respect to t is:
∫[0 to 10] 500(t - 12) dt
= 500 ∫[0 to 10] (t - 12) dt
= 500 [(t²/2 - 12t) | [0 to 10]
= 500 [(10²/2 - 12*10) - (0²/2 - 12*0)]
= 500 [(50 - 120) - 0]
= 500 [-70]
= - 350000
Therefore, the total decrease in value of the machine in the second 5 years after it was bought is $35000. option B is correct.
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