Answer:
38 17/36
Step-by-step explanation:
The total time she spent running is the combined value of the time it took to get to her friends house and to run back to her own house. It took 18 8/9 minutes to get to her friends house, and 19 7/12 to get to her own house, so the total time is the two added together. 18 + 19 = 37, and 8/9 + 7/12 = 64/72 + 42/72 = 106/72 = 53/36. This is equal to 1 17/36, so this plus 37 is equal to \(38 \frac{17}{36}\)
g (x)=√-3x+6
Look at photo please
Answer:
\((-\infty,2)\)
Step-by-step explanation:
Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).
a number has the same digits in its hundreds place and it’s hundrthes place. how many times greater is the value of the digit in the hundreds place than the value of the digit in the hundreds place
In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.
How can the value of the digit can be calculated?The question can be interpreted that the particular number has the same digit which is seen in hundreds place hence hundredths place.
we can then represent the digit as '1'.
The value of number's hundreds place can be represented as 100
we can as well represent the number's hundredths place as 0.01
the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000
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missing options:
A. 100,00
B. 100
C. 1,000
D. 10,000
HELPP MARKING BRAINIEST
The upper half of the ellipse centered at the origin Set up the integral that gives the area of the ellipse_ with axes of length 2a and 2b is described by y=bJa2-X as shown in the figure. Find the area dx of the ellipse in terms of a and b
The area of the ellipse in terms of a and b is given by the integral \(\int\limits^a_b {ba2-x2dx.} \,\)
The upper half of the ellipse centered at the origin with axes of length 2a and 2b is described by, ba2-x2dx. as shown in the figure. To find the area of the ellipse in terms of a and b, an integral can be set up. The integral is given by\(\int\limits^a_b {ba2-x2dx.} \, dx\) This integral can be evaluated to determine the area of the ellipse in terms of a and b.
The integral is given by:
\(\int\limits^a_b {ba2-x2dx.} \, dx\)
This can be evaluated using a substitution of u = a2 - x2. The derivative of u is du = -2x dx. After making the substitution, the integral becomes:
-∫bu du
The integral can be evaluated to obtain the answer:
-bu2/2 + C
The area of the ellipse can then be determined by evaluating the integral from x = 0 to x = a. This gives the area of the ellipse in terms of a and b:
\(Area = ab\pi /2\)
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Hey Bestie! 50 pts Pls help! Real answers only pls <3
Answer:
\(1. \: 3i\)
2. option D
3. option C
4. option D
5. option C
6. option B
7. option C
8. option D
9. option C
10. option C
Step-by-step explanation:
\(1. \: \sqrt{ - 9} \)\( \sqrt{ - 1(9)} \)
\( \sqrt{ - 1} \times \sqrt{ 9} \)
\(i \times \sqrt{9} \)
\(i \times \sqrt{ {3}^{2} } \)
\(i \times 3\)
\(3i\)
\(2. \: \sqrt{ - 8} \)\( \sqrt{ - 1(8)} \)
\( \sqrt{ - 1} \times \sqrt{8} \)
\(i \times \sqrt{8} \)
\(i \times \sqrt{ {2}^{2} \times 2 } \)
\(2i \sqrt{2} \)
\(3. \: \sqrt{ - 80} \)\( \sqrt{ - 1} \times \sqrt{80} \)
\(i \times \sqrt{80} \)
\(4i \: \sqrt{5} \)
\(4. \: \sqrt{ - 75} \)\( \sqrt{ - 1} \times \sqrt{75} \)
\(i \times \sqrt{75} \)
\(i \times \sqrt{ {5}^{2} \times 3 } \)
\(5i \sqrt{3} \)
\( 5. \: \sqrt{ - 72} \)\( \sqrt{ - 1} \times \sqrt{72} \)
\(i \times \sqrt{72} \)
\(i \times ( {6}^{2} \times 2)\)
\(6i \sqrt{2} \)
\( 6. \sqrt{ - 20} \)\( \sqrt{ - 1} \times \sqrt{20} \)
\(i \times \sqrt{20} \)
\(i \times \sqrt{ {2}^{2} \times 5} \)
\(2i \sqrt{5} \)
\(7. \: \sqrt{ - 27} \)\( \sqrt{ - 1} \times \sqrt{27} \)
\(i \times \sqrt{27} \)
\(i \times \sqrt{ {3}^{2} \times 3} \)
\(3i \sqrt{3} \)
\(8. \: \sqrt{ - 12} \)\( \sqrt{ - 1 \times 12} \)
\(i \times \sqrt{12} \)
\(i \times \sqrt{4(3)} \)
\(2i \sqrt{3} \)
\(9. \: \sqrt{ - 125} \)\( \sqrt{ - 1} \times \sqrt{125} \)
\(i \times \sqrt{ {5}^{2} \times 5 } \)
\(5i \sqrt{5} \)
\(10. \: \sqrt{ - 180} \)\( \sqrt{ - 1} \times \sqrt{180} \)
\(i \times \sqrt{ {6}^{2} \times 5 } \)
\(6i \sqrt{5} \)
Hope it is helpful...Based on a $600 loan amount, rank the following companies from the lowest to highest annual percentage rate (APR)
The ranking from the lowest to highest APR for the given companies is A, B, D, C.
The correct option is b.
To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).
Let's calculate the APR for each company:
For Company A:
APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%
For Company B:
APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%
For Company C:
APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%
For Company D:
APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%
Now, we can rank the companies from the lowest to highest APR:
Company A - APR: 2.028%
Company B - APR: 4.054%
Company D - APR: 4.79%
Company C - APR: 5.475%
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help me please! is compound interest
Answer:
7,200
Step-by-step explanation:
Paulas cat weighs 8 5/8 pounds. Calebs cat weighs 11 1/8 pounds. What is the total weight of both cats?
Answer:
19 6/8 or 19 3/4
I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.
Irinkers or both? Acme electronics manufactures MP3 players at three locations. The plant 50% of the MP3 players and 1% are defective. The plant at Memphis manu that plant are defective. The plant at Fort Meyers manufactures 20% and 3% If an MP3 player is selected at random, what is the probability that it is defe Refer to Problem 6.101. An MP3 player is found to be defective. What is th manufactured in Fort Meyers?
The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.
To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.
Given:
Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.
Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.
No information is provided about the defect rate of the third plant.
To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.
Let's calculate the overall probability:
Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)
Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)
To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:
Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)
Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)
Overall probability of selecting a defective MP3 player is given by:
Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)
Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%
Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.
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is this right? Please tell me....
Answer:
yes
Step-by-step explanation:
Answer:
YES IT IS!!
Step-by-step explanation:
!!
if p(e and f)=.392, p(e/f)=.56 and p(f/e)=.7, then p(e)=
On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
Probability(A and B) = P(A)P(B|A).
P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).
Using the general multiplication rule, we have
P(E and F) = P(E)P(F|E)
.392 = P(E)(.7)
P(E) = .56
P(E and F) = P(F)P(E|F)
.392 = P(F)(.56), so
P(F) = .7
P(E or F) = P(E) + P(F) - P(E and F)
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Find the Slope of the line through each pair of points: (-4,11),(1,-9)
Answer:
rise/run= -20/5= -4/1=-4 slope
or you sound use the slope formula (y2-y1)/(x2-x1)
(-9-11)/(1+4)
-20/5
-4
Step-by-step explanation:
Suppose the Acme Drug Company develops a new drug, designed to prevent colds. The company states that the drug is equally effective for men and women. To test this claim, they choose a simple random sample of 100 women and 200 men from a population of 100,000 volunteers. At the end of the study, 38% of the women caught a cold; and 51% of the men caught a cold. Based on these findings, can we reject the company's claim that the drug is equally effective for men and women? Use a 0.05 level of significance.
a) Hypothesis: (In both symbols and words)
b) Decision rule:
c) Calculation:
d) Conclusion:
Answer:
a) Null hypothesis: the drug is equally effective for men and women (company's claim)
Alternative hypothesis: the drug effectiveness significantly differs for men and women.
\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0\)
b) If the P-value is smaller than the significance level, the null hypothesis is rejected. If not, the null hypothesis failed to be rejected.
c) In the explanation.
d) As the P-value (0.0342) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the drug effectiveness significantly differs for men and women.
The company's claim is rejected.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim of the company, will be stated in the null hypothesis. We will test if there is evidence against that claim to reject it or not.
Then, the test claim is that the drug effectiveness significantly differs for men and women.
The null and alternative hypothesis are:
\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0\)
The significance level is 0.05.
The sample 1 (women), of size n1=100 has a proportion of p1=0.38.
The sample 2 (men), of size n2=200 has a proportion of p2=0.51.
The difference between proportions is (p1-p2)=-0.13.
\(p_d=p_1-p_2=0.38-0.51=-0.13\)
The pooled proportion, needed to calculate the standard error, is:
\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{38+102}{100+200}=\dfrac{140}{300}=0.467\)
The estimated standard error of the difference between means is computed using the formula:
\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.467*0.533}{100}+\dfrac{0.467*0.533}{200}}\\\\\\s_{p1-p2}=\sqrt{0.002489+0.001244}=\sqrt{0.003733}=0.061\)
Then, we can calculate the z-statistic as:
\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.13-0}{0.061}=\dfrac{-0.13}{0.061}=-2.1276\)
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
\(P-value=2\cdot P(z<-2.1276)=0.0342\)
As the P-value (0.0342) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the drug effectiveness significantly differs for men and women.
Stoplight A changes color every 42 seconds and Stoplight B changes color every 30 seconds. Both stoplights changed color 10 seconds ago. After how many seconds will the stoplights change color at the same time again *
200
190
210
180
Answer:
210
Step-by-step explanation:
LCM of 42sec and 30 sec=210 sec
If 7 4/5 is added to 2 3/4 , what is the sum?
Answer: 9 7/20
Step-by-step explanation:
7 4/5 + 2 3/4
Multiply the Denominators = 20
Add Numerators = 7
Add Whole Numbers = 9
Answer 9 7/20
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
Solve
- 2 + 3x + 24 = x
Answer:
x=-1
Step-by-step explanation:
thank me later it correct did the workhope this works
Rewrite the function f(x)=-4(x+2)^2-12 in the form f(x)=a x^2+bx+c
The function f(x) = -4(x+2)² - 12 can be rewritten in the form
f(x) = -4x² - 16x - 28.
Simplifying the function:
The concept used in this problem is expanding and simplifying an algebraic expression. We are given a quadratic function in a different form, and we need to rewrite it in standard form, which is in the form of f(x) = ax² + bx + c.
This involves expanding and simplifying the squared term and combining like terms. The process of expanding and simplifying an algebraic expression is a fundamental concept in algebra.
Here we have
f(x)= -4(x+2)²- 12
To rewrite the function f(x) = -4(x+2)² - 12 in form f(x) = ax² + bx + c
Expand the squared term and simplify the expression.
The steps are as follows:
f(x) = -4(x+2)² - 12 (original function)
f(x) = -4(x² + 4x + 4) - 12 (expand the squared term)
f(x) = -4x² - 16x - 16 - 12 (distribute the -4)
f(x) = -4x² - 16x - 28 (combine like terms)
Therefore,
The function f(x) = -4(x+2)² - 12 can be rewritten in the form
f(x) = -4x² - 16x - 28.
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In an apple harvest, for every 3 green apples there are 5 red apples. If the total number of
green apples harvested is 75, which of the following is the number of red apples harvested?
Answer:
125 red apples
Step-by-step explanation: 3x25=75 and 5X25=125
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Jordan runs to the end of his street and back home every day. The total distance of a trip to the end of the street and back home is 7/8 mile.
How many miles has Jordan run after 6 days?
whoever answers first gets brainliest and HURRY IM TIMED
The miles that Jordan run after 6 days will be 5 1/4 miles.
How to calculate the number of miles?This relates to a fraction. A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Here, Jordan runs to the end of his street and back home every day and the total distance of a trip to the end of the street and back home is 7/8 mile.
The miles that Jordan run after 6 days will be:
= 7/8 × 6
= 42 / 8
= 5 1/4 miles.
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angeliquw is buyinh towels for her aparetment. she finds some green twowels that cost $8 each and bule towels that cost 10$ each. many of each towel can she purchase?
She can purchase 3 blue towels and 5 green towels.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units
Let's say you go to the store to buy six apples.
You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.
We are aware of the quantity of apples and the amount of money in the aforesaid problem.
According to our question-
8 x 5 = 40
10 x 3 = 30
40 + 30 = 70
Hence, She can purchase 3 blue towels and 5 green towels.
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The table shows the distances Nadia biked. She wants to highlight the mean and range in a data display. Select all the appropriate data displays for the given data. #4
A. Bar chart and D. Histogram are appropriate data displays for highlighting the mean and range in the given data.
Describe Bar Chart?A bar chart, also known as a bar graph, is a visual representation of data using rectangular bars. It is commonly used to compare different categories or groups of data by showing the value of each category as a bar with a length proportional to its value. The bars can be arranged horizontally or vertically, and the length or height of each bar represents the magnitude of the data it represents.
A bar chart can be used to show the frequency of each value in the data set, and the height of each bar can represent the frequency or the proportion of the information inside a specific range. This can help to highlight the range of the data.
A histogram is a type of bar chart that displays the frequency or proportion of data that falls within each of several intervals, or bins. This can help to highlight the shape of the data distribution and the location of the mean.
Line plot, stem-and-leaf plot, and circle graph are not as suitable for highlighting the mean and range of the given data. A line plot is better for showing the individual data points, while a stem-and-leaf plot is better for showing the distribution of the data. A circle graph, or pie chart, is better for displaying proportions or percentages of a whole, and is not appropriate for displaying numerical data with a range.
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k) v=u+ax make x the subject
Answer:
x = (v - u) / a
Step-by-step explanation:
v = u + ax.
subtract u from both sides:
v - u = ax.
divide both sides by a:
(v - u) / a = x.
so x = (v - u) / a.
this can also be written v/a - u/a
A sample of experienced typists revealed that their mean typing speed is 87 words per minute and the median typing speed is 73 words per minute. The standard deviation of typing speed is 16.9 words per minute. What is the Pearson coefficient of skewness
Answer:
The Pearson coefficient of skewness is of 0.8284.
Step-by-step explanation:
Pearson skewness:
The skewness of a data set is given by the subtraction of the mean by the median, divided by the standard deviation.
In this question:
The mean is of 87, the median is of 73 and the standard deviation is of 16.9. So
(87-73)/16.9 = 0.8284.
The Pearson coefficient of skewness is of 0.8284.
Evaluate this expression.
3^-2
Answer:Exact Form: one over 9
1
9
Step-by-step explanation: ,..
2(7-8.5)^2-3|3.5-5|=
Answer: 0
Step-by-step explanation:
2(7−8.5)2−3(|3.5−5|)
=2(−1.5)2−3(|3.5−5|)
=(2)(2.25)−3(|3.5−5|)
=4.5−3(|3.5−5|)
=4.5−3(|−1.5|)
=4.5−(3)(1.5)
=4.5−4.5
=0
which of the following is equivalent to the radical expression below when x>0√12x^3 / √6x
SOLUTIONS
which of the following is equivalent to the radical expression below
\(\sqrt{12x^3}\div\sqrt{6x}\)Simplf the expression by factorising the common out
\(\begin{gathered} \frac{\sqrt{12x^3}}{\sqrt{6x}} \\ \frac{\sqrt{2x^2}\times\sqrt{6x}}{\sqrt{6x}} \\ x\sqrt{2} \end{gathered}\)Therefore the correct answer =
\(x\sqrt{2}\)Opr
you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.
each ballon costs: ?
each banner costs: ?
Answer:
each balloon costs 1$ and each banner costs 3$
Step-by-step explanation:
The costs of each balloon and banner are $1 and $3 respectively.
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.
Let x represents balloons and y represents banners.
Establishing the equations,
x+y = 4
x = 4 - y......(i)
3x + 2y = 9...(ii)
Put eq(i) in eq(ii)
3(4 - y) + 2y = 9
12 - 3y + 2y = 9
y = 3
Put y = 3 in eq(i)
x = 4-3
x = 1
Hence, the costs of each balloon and banner are $1 and $3 respectively.
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when conducting a perpendicular line through point of a line, how can you verify that the line contested is perpendicular?
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
Calculate the distance between the points P=(1, -1) and N=(5, -8) in the coordinate plane.
Round your answer to the nearest hundredth.
PLEASE PLEASE HELP ME
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)