Answer:
Jane is 9 1/4 years old
Step-by-step explanation:
Camden is 10 1/2 years old and Jane is (10 2/4 - 1 1/4) which equals 9 1/4 years
Emily generated 10,000 random digits between 0 and 10 . Here are the results: Digit The approximate location of the median is in interval A/B/CV. The approximate location of the mean is in interval A/B/CV.
The positions are located at points A
In the given question Emily generated 10,000 random digits between 0 and 10 we have to find the approximate location of the median is in interval A/B/CV and the approximate location of the mean is in interval A/B/CV.
The mean can roughly be found in interval B, whereas the median can roughly be found in interval A.
How to find the median and mean's placement in a table
The mean
We can utilize the following inputs for our calculation as we got them from the question:
The histogram
We can observe from the histogram that it is a uniform histogram.
This indicates that the mean is in the middle.
So, we have
Mean = point A
The median
From the question, we have the following parameters that can be used in our computation:
The histogram
We can observe from the histogram that it is a uniform histogram.
This indicates that the median is situated in the middle.
So, we have
Median = point A
Hence, the positions are located at points A
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The complete question is:
Emily generated 10,000 random digits between 0 and 10. Here are the results:
Frequency
1000
800
600
400
200
04
A B
0 1 2 3 4 5 6 7 8 9 10
Digit
The approximate location of the median is in interval A/B/C
The approximate location of the mean is in interval A/B/C
Write a linear equation to describe the number pattern that starts with 3 and continues with positive odd integers.
In order to have a linear equation, you have to write an equation like
\(y=mx+q\)
The sequence has to start with 3, so we must choose \(q=3\), because this guarantees that when \(x=0\) we have
\(y=0\cdot m + 3 =3\)
Now, \(m\) must be even. In fact, if \(m\) is even, \(mx\) will always be even for every possible \(x\), and \(mx+3\) will be odd.
So, for example, you might choose
\(y=2x+3\)
Which will produce the following sequence:
\(\begin{array}{c|c}x&f(x)\\0&3\\1&5\\2&7\\3&9\end{array}\)
and so on
what (1x90) 1 over 5
Answer:
18
Step-by-step explanation:
hope this helps
In a certain city, three newspapers A, B, and C are published. Suppose that 60% of the families in the city subscribe to newspaper A, 40% of the families subscribe to newspaper B, and 30% subscribe to newspaper C. Suppose also that 20% of the families subscribe to both A and B, 10% subscribe to both A and C, 20% subscribe to both B and C, and 5% subscribe to all three newspapers. (i) What percentage of the families in the city subscribe to at least one of the three newspapers? (ii)What percentage of the families in the city subscribe to exactly one newspaper?
Answer:
(i) = 85%
(ii) = 30%
Step-by-step explanation:
The question is a probability question.
We will need the following values:
P(A) = 60%
P(B) = 40%
P(C) = 30%
P(AnB) = 20%
p(AnC) = 10%
P(BnC) = 20%
P(AnBnC) = 5%
(i) To determine the percentage of the families in the city that subscribe to at least one of the three newspapers:
P(A) + P(B) + P(C) + P(AnBnC) - P(AnB) - p(AnC) - P(BnC)
= 60% + 40% + 30% + 5% - 20% - 10% - 20%
= 85%
(ii) To determine the percentage of the families in the city that subscribe to exactly one newspaper:
P(at least one paper) - p(AnB) - p(AnC) - P(BnC) - P(AnBnC)
= 85% - 20% - 10% - 20% - 5%
= 30%
consider an experiment that consists of determining the type of job - either blue-collar or white collar- and the political affiliation -republicans, democratic or independent - of the 15 members of an adult soccer team. how many outcomes are in the event that at least one of the team members is a blue-collow worker?
We rule up the team members, say by Social Security number. We now ask each in turn her/his job explanation and political affiliation and data the information.
For any person, the information can be recorded as an instruct pair (x ,y) where x is one of B or W, and y is one of R, D, or I. So, there are for any person 6 possible records. The team conclusion is a sequence of such records, of length 15. Thus, for our team there are 6^15 possible results.
How many of these results have at least one blue-collar worker? How many have no blue-collar worker? Then x=W, and y can still take on any of 3 values, for a total of 3^15 possibilities. Thus, the number of possible summaries with at least one B is 6^15−3^15.
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Jaws homework covers multiplication with powers of 10 the first question of the homework is 32.4 x 10 tent
Part A.
We have the following number is scientific notation:
\(32.4\times10^2\)In order to obtain the value, we must move the decimal point 2 places to the right and get
\(3240\)Then, the answer for part a is: 3240
Part B
Lets multiply 32.4 by 10^2. It yields,
\((32.4)(10^2)=3240\)then, we can note that,
- A. The digit 2 increases in value from 2 ones to 2 hundreds and,
- C. The digit 3 shifts 2 places to the left, fron the tens place to the thousands place
Steve already has 5 flowers in his garden, and he can also grow 1 flower with every seed packet he uses. Write an equation that shows the relationship between the number of seed packets x and the total number of flowers y.
Answer:
y = x + 5
Step-by-step explanation:
Using the information provided we can create the following equation. Since every seed packet can grow 1 single flower we would need to multiply 1 by the number of seed packets (x), which simplified would be just x . Next we are told that Steve already has 5 flowers in his possession meaning we need to add this to the new flowers that he is growing to get the total number of flowers.
y = x + 5
20. Find the equation of the straight line bisercting the line joining the points (3,4) and(5,6) if it
slope is 2
Answer:
pretty sure the answer is x - y - 1 = 0
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
12. After 2 hours, Morgan had earned $12.75 at her lemonade stand. After 5
hours, she had earned $44.25. Assuming a linear function, write an
equation in the form y=mx+b that shows the profit earned from selling
lemonade for x hours.
Answer:
y = 10.5x - 8.25
Step-by-step explanation:
m = (44.25 - 12.75)/(5 - 2) = 10.5
y = mx + b
y = 10.5x + b
12.75 = 10.5 × 2 + b
b = -8.25
y = 10.5x - 8.25
HELPPPLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
It is C. 42 oz
--------
A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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For her party can Nina fill fewer than 10 bags with treats between 10 and 20 bags between 20 and 30 bags or more than 30 bags explain
The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:
Between 20 and 30 bags.
What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.
In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:
Number of bags = Number of treats / Treats per bag.
The values of these parameters are given as follows:
Number of treats: 78.Number of treats per bag: 3.Hence the numeric value of the expression is:
Number of bags = 78/3 = 26.
Which is a number between 20 and 30.
Missing InformationThe problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.
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sketch the graph y=x^2+2x+3, indicating clearly the coordinates of any intersection and the coordinates of axes
Given that p(x)=2(5−x)2+1 , what is the value of p(-4)? Responses
Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
x -5 = 2x -8 solve this equation
Answer:
x = 3
Step-by-step explanation:
x - 5 = 2x - 8
First subtract x from both sides: -5 = x - 8
Finally, add 8 to both sides: 3 = x
Hope this helps!
Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each of the relatives receive?
Answer:
49200
114800
32800
Step-by-step explanation:
196800/12=ans
ans * 3
ans * 7
ans * 2
Which triangle congruence criteria will determine congruence for the given 1 point
diagram?
SSS
SAS
ASA
AAS
HL
please help if u can! :))))
Answer: 0.8
Step-by-step explanation:
The formula to find area of a parallelogram is A = bh. This means that area = base x height. You can manipulate this formula to what height equals instead of the area. To do that, you can divide b on both sides. This would make the equation h = A/b.
Now that you know how to find what height equals, first find the base of the parallelogram. To find b, multiply 6 x 5. 6 x 5 = 30. This means that your base is 30.
Take the information given to you in the problem about the area. The area is given to you. We know that the area is 24 squared units. Remember what the equation to find height is. It's h = A/b. Substitute the variables for your numbers. h = 24/30.
24/30 = 0.8.
This means that your height is 0.8. This would be 8/10 in fraction form, but you can simplify it further to 4/5.
Hope it helps. Good luck!
How do you solve complex fractions addition?
To solve complex fractions addition the steps are elaborated below
Basically, a complex fraction is a rational expression that has a fraction in its denominator, numerator or both, or we can simply state that there is at least one least fraction within the overall fraction.To solve complex fractions addition, the steps are first to convert the denominators and numerators into single fractions and then simplify them, the next step is to add the fractions with the like denominators, then Simplify it again, then the step is to Divide the complex fractions by multiplying the numerator by the reciprocal of the denominator.
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A sampling distribution depicts the shape of the population distribution from which the sample was drawn when n is sufficiently large.
a) Shows the distribution of the sample mean when the sample size changes.
b) Shows the distribution of the sample data when the sample size changes.
c) Shows the distribution of our sample of data drawn from the population.
d) Shows the distribution of sample means from all possible samples given size.
(Option D.) Shows the distribution of sample means from all possible samples given size.
A sampling distribution is a probability distribution of a statistic computed from a random sample of a population.
Understanding the Sampling Distribution and Its Role in InferenceIt shows the distribution of the sample means from all possible samples given size. This is helpful when trying to understand the behavior of a statistic and to make inferences about the population from which the sample was drawn. The sampling distribution will approximate the shape of the population distribution as the sample size increases. It also provides a way to estimate the variability of the statistic, which can be used in hypothesis testing.
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HELP
Which equation has no real solution A. B2 + 3b = -3
B. 2c2 + 4c = 9
C. -5c2 – c= -2
D.7g +1 + 3g2 = 0
Answer:
A.
\( {b}^{2} + 3b - 3 = 0\)
Step-by-step explanation:
\( {b}^{2} + 3b - 3 = 0 \\ because \: \: {b}^{2} < 4ac \\ {b}^{2} = {3}^{2} = 9 \\ 4ac = 4 \times 1 \times - 3 = - 12 \\ hence : {b}^{2} < 4ac\)
1728829+5363792002×82873992892/12=?
Answer:
Simplify the expression.
Exact Form:
111129715061983798933/3
Decimal Form:
3.70432383⋅10^19
Step-by-step explanation:
Answer:
exact form is 111129715061983798933/3
decimal form 3.70432383*10^19
Step-by-step explanation:
two adjacent angles from a right angle. the larger angle is 3 times the measurement of the smaller angle which is the measurement of the angle?
45°
22.5°
67.5°
30°
Answer:
Because two adjacent angles from a right angle sums up to 90° and the larger angle is 3 times the measurement of the smaller angle, the equation would be 3a + a = 90° (A will be the substituting variable for the smaller angle). Add the like terms to get 4a=90. Divide 4 on both sides to get 22.5°. Substitute 22.5 into the variable, a, to get 67.5. This means that the larger angle would be 67.5° and the smaller angle would be 22.5°.
GUYS IS THIS CORRECT? CLASS 6 MATHS
Answer:
yes these all are correct
express each of the complex numbers be-low in cartesian form (evaluate any trigonometricexpressions as decimal approximations). if using acalculator with complex number capability, you donot need to show your work, just state which calcu-lator you used to find the answer.
The following complex numbers are in cartesian form needs four decimal places for accuracy.
15 < -35° in Cartesian form is 15cos(-35°) + i15sin(-35°) = 12.96 - 6.59i.2e^-j0.6π in Cartesian form is 2cos(-0.6π) + i2sin(-0.6π) = -1.17 + 1.95i.(0.25 < -175°) in Cartesian form is 0.25cos(-175°) + i0.25sin(-175°) = 0.25 + 0.25i.-0.75e^j10° in Cartesian form is -0.75cos(10°) + i-0.75sin(10°) = -0.71 - 0.71i.
(25 - j15) × (-7.5 - j6) in Cartesian form is (25cos0° - 15sin0°) × (-7.5cos0° - 6sin0°) + i(25sin0° + 15cos0°) × (-7.5sin0° - 6cos0°) = -225 + 135i.(16e^-j25°) × (10 < -13°) in Cartesian form is (16cos(-25°) + i16sin(-25°)) × (10cos(-13°) + i10sin(-13°)) = 145.29 + 70.56i.The values for cosine and sine should be evaluated to at least 4 decimal places for accuracy.
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Sets Sets M and Fare defined as follows: M = {a,b,c,d} F = {c, d, e, f} Find the intersection of M and F.
The intersection of sets M and F contains the elements "c" and "d".
To find the intersection of sets M and F, we need to identify the elements that are common to both sets.
M = {a, b, c, d}
F = {c, d, e, f}
The intersection of M
and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.
Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".
Therefore, the intersection of M and F can be expressed as:
M ∩ F = {c, d}
So, the intersection of sets M and F contains the elements "c" and "d".
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Calculate the distance between (2, -2) and (-3, -1).
Answer:5.1
Step-by-step explanation:
f(x) = 5x – 10 and g(x) = x – 16. Which of the following represents h(x) = f(x) + g(x)? h(x) = 6x – 16 h(x) = 6x – 26 h(x) = x – 26 h(x) = x – 16
Answer:
h(x)=6x-26
Step-by-step explanation:
f(x)=5x-10
g(x)=x-16
h(x)=f(x)+g(x)=(5x-10)+(x-16) = 6x-26
can you solve this question?
By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.
How to calculate the valueThe Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:
ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)
ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.
ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).
Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:
ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)
Substituting the given values, we get:
2/c = [ 2ln7 - 2ln1 ] / (7 - 1)
2/c = ln7
c = 2 / ln7
c ≈ 0.909
Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.
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