The equation of the line that passes through (-11, -2) (9, 8) and is y + 2 = 1 / 2(x + 11 ) in slope intercept form is y = 1 / 2 x + 7 / 2.
How to find the slope intercept form of an equation?The equation of a straight line can be represented in slope intercept form as follows:
y = mx + b
where
m = slope of the lineb = y-interceptTherefore, the equation of the line passes through (-11, -2) (9, 8) and is y + 2 = 1 / 2(x + 11 )
slope = 8 + 2 / 9 + 11
slope = 10 / 20
slope = 1 / 2
let's find b, y-intercept as follows:
y = 1 / 2 x + b
-2 = 1 / 2(-11) + b
b = -2 + 11 / 2
b = -4 + 11/ 2
b = 7 / 2
Therefore, the equation is y = 1 / 2 x + 7 / 2
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A restaurant has a 15% mandatory tip rate.
• Complete the ratio table shown. Show your work.
Pre-Tax Bill ($): 10_60_
Tip($):_12_15
Using the table, how can you find the total tip paid on $70
Answer:
I sadly cannot give you an explanation how but I can give you the answers which are....
10 80 60 10
1.50 12 9 15
10.5 is the answer to your next question.
Hope I helped! :)
The required total tip paid on $70 is $10.50.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
To complete the ratio table, we need to calculate the tip for each pre-tax bill amount.
Let x be the pre-tax bill amount. Then:
Tip = 0.15x
To find the tip for each pre-tax bill amount in the ratio table, we can substitute the values of x into the formula. For example, for a pre-tax bill of $10:
Tip = 0.15 * 10 = $1.50
Using the same method, we can fill out the ratio table:
Pre-Tax Bill ($) Tip ($)
10 1.50
60 9.00
To find the total tip paid on $70, we need to calculate 15% of $70:
Tip = 0.15 * 70 = $10.50
Therefore, the total tip paid on $70 is $10.50.
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b)the LCM of three numbers is 24 and their G.C.D is 4. If two
find the other number
6
Step-by-step explanation:
because 6*4=24, so the G.C.D is 4 and the other number is 6
Which of the following things should you do first when planning your career?
A. Apply for as many jobs as possible
B. Sign up for an internship
C. Make a list of your job preferences and skills
D. Have a mock interview with a family member or friend
Answer:
its better to do C or D
Step-by-step explanation:
its better to be prepared and know what jobs you may be accepted in because of the compatibility of your skills and the task the job will ask you to do. Also for D, if you ever go to an interview its probably better to practice with someone to make sure your prepare for it so maybe C or D
suppose that the average price for a gallon of gasoline in the united states is 3.75 and in russia it is . assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of in the united states and a standard deviation of in russia. a. what is the probability that a randomly selected gas station in the united states charges less than per gallon (to 4 decimals)? b. what percentage of the gas stations in russia charge less than per gallon (to 2 decimals)? c. what is the probability that a randomly selected gas station in russia charged more than the mean price in the united states (to 4 decimals)?
Using probability, we know that the left-tailed area exists at 17.87%.
What is meant by probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.So, now calculate as follows:
Let the critical value be x= $ 3.5Mean µ = $ 3.73Standard deviation σ = $ 0.25Using formula:
z = (x - µ) / σSubstitute the values in the above equation, and we obtain:
= (3.5-3.73) / 0.25Simplifying the equation, we will get:
= (-0.23) / 0.25= -0.92Finally, by using a table we calculate the left-tailed area:
P(z < -0.92) = 0.17878638 = 17.87 %Therefore, using probability, we know that the left-tailed area exists at 17.87%.
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Complete question:
The average price for a gallon of gasoline in the United States is $3.73 and in Russia, it is $3.40. Assume these averages are the population means in the two countries and that the standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?
The mass of a baby boy at birth was 3.6kg. When he was 6 months old and 12 months old, his masses were 7.2 kg and 10.0 kg respectively. What was the percentage increase in his mass at 12 months old when compared with (a) his mass at birth (b) his mass at 6 months old
Using the concept of fraction and percentage, the percentage increase of the baby at 12 months is 177.7 percent
What is Percentage IncreasePercentage increase is a mathematical concept that refers to the increase in a particular value over its initial amount. It is usually expressed as a percentage and is calculated by dividing the increase in the value by the original amount, then multiplying by 100.
In this problem, the data given are;
Initial mass = 3.6kgmass at 6 months = 7.2kgmass at 12 months = 10kgThe percentage increase at 12 months old can be calculated as
percentage increase = [(mass at 12 months - Initial mass) / Initial mass] * 100
percentage increase = [(10 - 3.6) / 3.6] * 100
percentage increase = 1.7 * 100
Percentage increase = 177.7%
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Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married. Suppose another 1051 random selected U.S. adults were surveyed and asked if they believed it is more enjoyable to be married or single. The sample proportion who respond that it is more enjoyable to be married from this new sample would most likely be different from the same sample proportion from the old sample due to ___________________.
Answer:
Due to;
Sampling variability
Step-by-step explanation:
From the question, we have;
The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%
The number of adults in the sample of the survey = 1,501 adults
The number of adults that responded that it is more enjoyable to be married than single = 1,126
According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion
Which costs the most per ounce, 60 oz. of peanut butter for $5.40, 28 oz. for $2.24, or 16 oz. for
$1.76? Explain how you got your answer.
Solve for x
\(-7 \geq \frac{3-5x}{5}\)
help!!!!!!!!!!!!!!!!!!!
Answer:
64 R 0
Step-by-step explanation:
Here is a photo of the answer, it has all the steps!
Assume X has standard normal distribution: X∼N(0,1). What is P(X>1∣∣X∣>1) ? A: 0.5 B: 0.67 C: 0.99 D: 0.5328 E: 0.1
The probability P(X > 1 | |X| > 1) is approximately 0.5, corresponding to option A.
To find the probability P(X > 1 | |X| > 1), we first need to determine the event |X| > 1. This event implies that the absolute value of X is greater than 1, which means X falls outside the interval (-1, 1).
Since X follows a standard normal distribution with mean 0 and standard deviation 1, the probability of X falling outside the interval (-1, 1) is given by the sum of the probabilities of X being less than -1 and X being greater than 1.
Using a standard normal distribution table or statistical software, we can find these probabilities as follows:
P(X < -1) ≈ 0.1587
P(X > 1) ≈ 0.1587
Now, we can find the conditional probability P(X > 1 | |X| > 1) by dividing the probability of X being greater than 1 by the probability of |X| > 1:
P(X > 1 | |X| > 1) = P(X > 1) / P(|X| > 1)
P(X > 1 | |X| > 1) = 0.1587 / (0.1587 + 0.1587)
P(X > 1 | |X| > 1) ≈ 0.5
Therefore, the probability P(X > 1 | |X| > 1) is approximately 0.5, corresponding to option A.
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solve this and I will give u brainlist.
The measure of arc XZ is 115 degrees and measure of arc XYZ is 245 degrees
The given circle has a centre W
The measure of central angle is 115 degrees
We have to find the measure of the arc XZ
The central angle is equal to measure of the arc
115 = measure of arc XZ
Arc XZ =115 degrees
We know that the circle has a measure of 360 degrees
So the remaining angle is 360-115 = 245 degrees
The measure of arc XYZ is 245 degrees
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Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
(6w — 11w^2)-(4+7w^2)
Answer:
-18w^2 + 6w - 4
Explanation:
Given the expression (6w — 11w^2)-(4+7w^2)
Open the bracket
6w — 11w^2 - 4 - 7w^2
= -11w^2-7w^2 + 6w -4
= -18w^2 + 6w - 4
Hence the required expansion is -18w^2 + 6w - 4
A rectangular tank, 3m long, 2m broad and 1m deep, is filled with water to a depth of 3/4m. How any bricks measuring 1/5m by 1/8m by 1/10m can be put into it before the water overflows?
A rectangular tank 3600 bricks measuring 1/5m by 1/8m by 1/10m into the tank before the water overflows.
To find bricks can be put into the tank before the water overflows, the volume of water in the tank and then determine the volume of each brick.
The volume of water in the tank length, width, and depth:
Volume of water = length × width × depth = 3m × 2m × (3/4)m
The volume of each brick:
Volume of each brick = length × width × height = (1/5)m × (1/8)m × (1/10)m
Divide the volume of water in the tank by the volume of each brick:
Number of bricks = (Volume of water) / (Volume of each brick)
Now let's substitute the given values into the formulas and
Volume of water = 3m × 2m × (3/4)m = 9/2 m³
Volume of each brick = (1/5)m × (1/8)m × (1/10)m = 1/400 m³
Number of bricks = (9/2 m³) / (1/400 m³)
= (9/2) / (1/400)
= (9/2) × (400/1)
= 9 × 400 / 2
= 3600
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Amy is analyzing a job offer.
Amy’s Salary Analysis
Annual Salary
Benefits
Average Monthly Rent
Average Monthly Utility Costs
$48,500
401K matched up to $2,500/year,
$5,000 in bonuses
$1,100
$200
How much should she expect to pay on rent and utilities each year?
$1,300
$2,400
$13,200
$15,600
The average annual rent and utility cost will be $15600 therefore option (D) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Given the table of annual salary, benefits, average monthly rent, and average monthly utility cost.
Average annually rent = 12 × average monthly rent
Average annually rent = 12 × 1100
⇒ $13200
Average annually utility cost = 12 × average monthly utility cost
Average annually utility cost = 12 × 200
⇒ $2400
Total = $13200 + $2400
⇒ $15600
Hence "The average annual rent and utility cost will be $15600".
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The arrangement of the given question is not in order, the correct question follows below ;
Answer:
It's D
Step-by-step explanation:
rounded to the thousands place :) thank you!!
5e^3x – 4 = 31
Step-by-step explanation:
Add 4 to both sides: 5e^3x = 35, or
The domain of a polynomial function is ____ all real numbers.
Answer:
I may be wrong but I believe it could be (−∞, ∞).
Step-by-step explanation:
Depending on the polynomial is what the rage would be. I'm beyond sorry if it is wrong.
13. Sarita recorded the high temperatures in her town for the month of July and used
her data to make this box and whisker plot.
The mean temperature of the month was 94".
At least half of the temperatures were 94 or greater.
E
||||
88 90 92 94 96 98 100 102 104
Temperature (°F)
Which statement must be true?
There were fewer temperatures between 92° and 94 than
between 94° and 99%.
There were more temperatures between 99 and 104° than
between 88° and 92,
Answer:b
Step-by-step explanation:
Helppppp pleaseeseeee
Answer:
Below
Step-by-step explanation:
Because it is $7 per day and x = the length of rental days, our equation will look something like this :
y = 7x + 3
Hope this helps!
I just need help with a few questions rq (15 points per)
the questions I need help with are 24 a and 27.
PICS BELOW
edit (it won't let me add the second pic so just need help with q27 pls)
Answer:
A. area of larger rectangle: 18x^2
area of smaller rectangle: 8x^2
B. area of shaded region: 10x^2
Step-by-step explanation:
Larger rectangle: A = lw = (6x)(3x) = 18x^2
Smaller rectangle: A = lw = (4x)(2x) = 8x^2
The shaded region = larger rectangle - smaller rectangle
=> 18x^2 - 8x^2 = 10x^2
If the composite functions f(g(x)) and g(f(x)) both equal x, then the function g is the____function of f.
If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.
What is the inverse of a function?A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
Let us take the Example.
Suppose f(x)= x/4 and g(x)=4x.
Let x=1
then f(g(x))= f(g(1))=f(4)=1
and g(f(x))=g(f(1))=g(1/4)=1
Here, f(g(x))=g(f(x))=1
Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.
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The product property can only be used for powers that have the _______ base.
(WILL MARK BRAINIEST IF RIGHT)
Answer:
Step-by-step explanation:
adjacent
Let a be a group element such that a48. For each part, find a divisor k of 48 such that (a) < a21 >=< ak > (b) -< ak > (c)=< ak >
(a) < a^21 >=< ak > generates a subgroup of the group generated by a, and it is a subgroup of order 2k since
a^48=a^2k,
by Lagrange's theorem.
(b) -< ak > there are 5 subgroups of order 24, and they are generated by a^48, a^24, a^16, a^12, a^8
(c) < ak > there are 4 subgroups of order 48, and they are generated by a^48, a^24, a^16, a^12.
Given a group element a such that a^48. We have to find a divisor k of 48 such that
(a) < a^21 >=< ak >
For the element a^21, k must be a divisor of 21, let's list out the divisors of 21.
Divisors of 21 are 1,3,7,21.
We can choose any of the above divisors as k, hence, we have 4 possible values of k;
k=1,
k=3,
k=7,
k=21.
a^21
generates a subgroup of the group generated by a, and it is a subgroup of order 2k since
a^48=a^2k,
by Lagrange's theorem.
(b) -< ak >
To find the divisors k of 48 such that the subgroup generated by ak has order 24, we use the fact that
ak = a^(48/k),
and since the order of a is 48, we have
a^(48/k) = e
if and only if 48/k is a positive integer.
Let's list out the divisors of 48,
Divisors of 48 are
1,2,3,4,6,8,12,16,24,48.
There are 5 values of k such that 48/k is a positive integer, these are
k=1,
k=2,
k=3,
k=4,
k=6.
So, there are 5 subgroups of order 24, and they are generated by
a^48,
a^24,
a^16,
a^12,
a^8
(c)=< ak >
To find the divisors k of 48 such that the subgroup generated by ak has order 48,
we use the same argument as in (b), but this time we need 48/k to be a positive integer.
Let's list out the divisors of 48,
Divisors of 48 are
1,2,3,4,6,8,12,16,24,48.
There are 4 values of k such that 48/k is a positive integer, these are
k=1,
k=2,
k=3,
k=4.
So, there are 4 subgroups of order 48, and they are generated by
a^48,
a^24,
a^16
,a^12.
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Dawn is playing a word game. The scores of her first nine words are: 14, 23, 9, 15, 17, 22, 24, 17, 21
Put in order using Minimum,Maximum and range
To put the scores in order using minimum, maximum, and range, we first need to determine the values of each. The minimum score is 9, the maximum score is 24, and the range is 15.
Therefore, we can arrange the scores in ascending order as follows:
9, 14, 15, 17, 17, 21, 22, 23, 24
The minimum score of 9 represents the lowest score that Dawn received during the game. The maximum score of 24 represents the highest score that she received. The range of 15 represents the difference between the highest and lowest scores.
Knowing the minimum, maximum, and range can provide valuable information about a data set, as it allows us to see the spread of the scores and the range of values that the data encompasses.
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Cho sells kakigori, a Japanese frozen dessert flavored with sweet syrup, at a street stand.
The scatter plot shows the daily high temperature and the number of servings of kakigori
Cho sells each day for 12 days. Based on a line of best fit for the data, about how many
servings of kakigori will Cho sell on a day when the high temperature is 29° Celsius?
Number of Servings Sold
115
110
105
100
95
90
85
80
75
70
65
60
55
50
0
18 19 20 21 22 23 24 25 26 27 28 29 30
Temperature (°C)
94
101
88
111
We can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.
Based on the line of best fit for the data, we can estimate the number of servings of kakigori Cho will sell on a day when the high temperature is 29° Celsius.
From the scatter plot, we can see that the line of best fit is increasing as the temperature increases.
By estimating the value on the line of best fit for the temperature of 29° Celsius, we can approximate the number of servings sold. Based on the scatter plot, it appears that the number of servings sold is around 100 when the temperature is 29° Celsius.
Therefore, we can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.
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An animal kennel can hold twice as many cats as dogs, x. The kennel
holds at most 18 animals. Which inequality represents the maximum
number of dogs the kennel can hold?
A. 2x + x > 18
B. 2x – x > 18
C. 2x + x ≤ 18
D. 2x – x ≤ 18
Answer:
c
Step-by-step explanation:
Is triangle LMN a right triangle?
It is demonstrated in the following figure itself that △LMN is a right triangle.
What is a right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides.
The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.
To describe the sides of right triangles, we utilize specific terminology.
The side opposite the right angle is always the hypotenuse of a right triangle.
So, in the given figure, it is shown that △LMN is a right triangle.
Therefore, it is demonstrated in the following figure itself that △LMN is a right triangle.
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Which statistical measurement informs a CTRS about how well the assessment results compare to what is being measured?A.Equivalent-forms reliabilityB.Criterion-related validityC.Test-retest reliabilityD.Construct validity
The statistical measurement that informs a CTRS about how well the assessment results compare to what is being measured is Construct validity.
Construct validity assesses how well the assessment measures the intended construct or trait, and compares the results to other tests or measures of the same construct to determine how accurate and reliable the assessment is.
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If water flows out of a faucet at 500 L per hour, how long will it take for 20 L to come out of the faucet?
Answer:
2 hr
Step-by-step explanation:
if a country has a natural increase rate of 2.0 percent, how long will it take to double its population?
It will take 35 years to double the population
What is Percent ?Percentages are just fractions with a denominator of 100. To show that a number is a percentage, we place the percent sign (%) next to it. For instance, if you properly answered 68 out of 100 questions on a test, you would have received a 68% grade (68/100).
According to the given information
Let \(P(0)\) be initial population
and K be the growth rate
Then Population of the country after t years
\(P = P(0)e^{Kt}\)
Let x be the present population
2x will be the double of present population
And we know
The growth rate K = 0.02%
So
The value of t could be determined as follows
\(xe^{0.02t}=2x\)
\(e^{0.02}=2\)
\(0.02t=ln(2)\)
Multiply both sides by 1000
0.02t × 1000 = ln(2) × 1000
Refine
20t = ln(2) × 1000
Divide both sides by 20
\(\frac{20t}{20}=\frac{ln(2).1000}{20}\)
t = \(ln(2).500\)
t = 0.693×50
t = 34.65 years
t = 35 years
It will take 35 years to double the population
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