Answer:
Ten million, Four hundred eighty-three thousand, one hundred ninety
Step-by-step explanation:
Break it down! into the tens digit, hundreds digit, etc.
In a class of 152 students, 100 are taking math (M), 77 are taking science (S), and 55 are taking both math and science. One student is picked at random. Find the probability.
P(taking math or science or both)
The probability of taking math or science or both is 123/152
The total number of students = 152 students
Number of students who take math = 100 students
Number of student who take science = 77 students
Number of students who take both math and science = 55 students
The probability = Number of favorable outcomes / Total number of outcomes
We have to find each term
The number of favorable outcomes =55+45+23
= 123
Total number of outcomes = 152
Substitute the values in the equation
Probability of taking math or science or both = 123/152
Hence, the probability of taking math or science or both is 123/152
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Mike has some t-shirts. 1/4 of the
t-shirts are pink, 1/2 of the
remaining tshirts are white and the rest are
purple. What fraction is purple?
Mike has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remaining t-shirts are white and the rest are purple, then the fraction of purple is 3/8
Mike has some t-shirts
The fraction of pink t-shirts = 1/4
The remaining t-shirts = 1 - (1/4)
= 3/4
1/2 of the remaining t-shirts are white
Then the fraction of white t-shirt = 3/4 × 1/2
= 3/8
The fraction of purple t-shirt = 1 - (1/4 + 3/8)
= 3/8
Hence, Mike has some t-shirts. 1/4 of the t-shirts are pink, 1/2 of the remaining t-shirts are white and the rest are purple, then the fraction of purple is 3/8
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Scott must choose a number between 55 and 101 that is a multiple of 2,4, and 5. Write all the numbers that he could choose.
Answer:
60, 80, 100
Step-by-step explanation:
All 3 of these numbers are between 55 and 101, and can be divided by all 3 numbers provided.
7v-7-4v-10=v+7-4v help now pleas
Answer:
v = 4
Step-by-step explanation:
[tex]collect \: like \: terms \: \\ 7v - 4v - v + 4v = 7 + 7 + 10\\ 3v - v + 4v = 14 + 10\\ \\ 2v + 4v = 24 \\ 6v = 24 \\ v = 4[/tex]
what did i do wrong? how do i do y-int?
Juan is playing a game in which he can win $100 with probability 0.2, $300 with probability 0.3, and $500 with probability 0.5. What is the expected value of Juan's winnings?
Juan's winnings has an expected value of $360
How to determine the expected value of Juan's winnings?The given parameters in the question are:
$100 with probability 0.2,
$300 with probability 0.3,
$500 with probability 0.5.
The expected value is then calculated as
E(x) = Sum of (amount * probability)
Substitute the known values in the above equation, so, we have the following representation
E(x) = 100 * 0.2 + 300 * 0.3 + 500 * 0.5
Evaluate
E(x) = 360
Hence, the expected value is $360
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25.0 feet
50.0 feet
20.6 feet
19.4 feet
Using the Pythagorean Theorem, the approximately length of ladder is 20.6 feet
As we know Michael is standing on roof of his house.
He stands 5 feet away from his house
The ladder touches the point 20 feet above the ground and where the Michael standing
In this order we have to find the approximately length of ladder
From this question we can clearly figure out that in this question we have:
Perpendicular= 20 feet
Base = 5 feet
So as we can understand that we have to use Pythagorean Theorem
Pythagorean Theorem:
(Hypotenuse)^2 = (Perpendicular)^2+(Base)^2
(Hypotenuse)^2 = (20)^2+(5)^2
(Hypotenuse)^2 = 400+25
(Hypotenuse)^2 = 425
Hypotenuse=square root(425)
Hypotenuse=20.6 feet
Hence, the approximately length of ladder is 20.6 feet
So the option C is correct.
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The data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation coefficient of 0.975. Judge whether a t-interval could be constructed using the data in the sample.
It could be said that the normal probability plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.
If the data from a simple random sample with 25 observations was used to construct the plots given below. The normal probability plot that was constructed has a correlation coefficient of 0.975., on analysing
The normal plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.
Therefore, It could be said that the normal plot does not suggest that the data could come from a normal population, even though the boxplot does not show any outliners, so a t- interval could not be constructed.
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Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents
Answer:
7 in
Step-by-step explanation:
If 12 inches of wire can be bought for $0.48, we can set up the following ratio:
[tex]\frac{12\text{ in}}{\$0.48}[/tex]
Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:
[tex]\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}[/tex]
Then, cross-multiply and solve for [tex]x[/tex]:
[tex]\$0.48x=(\$0.28)(12)[/tex]
[tex]\$0.48x=\$3.36[/tex]
[tex]x=\frac{\$3.36}{\$0.48}[/tex]
[tex]x=7[/tex]
Helppp meee !!
It’s due today !!
Answer:
-8
Step-by-step explanation:
i think
Answer:
Your answer is -8
Step-by-step explanation:
9-(-0.87)-0.3 will someone please help me I can’t remember how todo this and my kid needs my help!
Answer: 9.57
Step-by-step explanation:
do 9 - -0.87 first.
that will give you 9.87
then you subtract 0.3
final answer: 9.57
Answer:
92
Step-by-step explanation:
3+3=6
rewrite 3x+4y>8 in slope intercept form
Answer: y > -3/4x + 2
Step-by-step explanation:
Anyone can help on this one ?
Answer:
model a is more benfit the other one b/c of by hard working effort from b
10 = 6/5 W
Solve the missing variable, W
[tex]\framebox{w=$\dfrac{25}{3}$}[/tex]
Flip the equation:
[tex]\frac{6}{5} w=10[/tex]
Multiply both sides by [tex]\frac{5}{6}[/tex]:
[tex](\frac{5}{6} )\times(\frac{6}{5} w)=(\frac{5}{6} )\times(10)[/tex]
[tex]w=\frac{25}{3}[/tex]
The hire purchase price of a refrigerator is $6509.A deposit of $500 is made and the reminder is paid in equal monthly payments of $250. Calculate the number of monthly payments that must be made.
Step-by-step explanation:
The hire purchase price of a refrigerator is $6509.A deposit of $500 is made and the reminder is paid in equal monthly payments of $250. Calculate the number of monthly payments that must be made.
amount paid over x months:
$6509 - $500 = $6,009
Equal payments of $250:
$6,009 / $250 = 24.036 months of payments
[Depending on if they want the answer rounded up, answer may become 25]
Answer:
hire purchase= $6509
deposit=$500
monthly payment=$250
no of monthly payment that must be made=hire purchase - deposit divided by monthly payment
$6509-$500/$250=$6009/$250= 24.036 month
HELP, ASAP PLEASE. 15 POINTS! ( Only 1 picture is attached)
The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million
How to find the input values of functions?
We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;
A(h) = -0.06h² + 2h + 4
where h is the time in number of hours after which the concentration is recorded.
Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;
A(4) = -0.06(4²) + 2(4) + 4
A(4) = -0.96 + 12
A(4) = 11.04 parts per million
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ASAP I NEED THIS QUESTION DONE DUE TODAY!!!! 2/3p + 3; p=3/5
Answer: 17/5 or 3.4
Step-by-step explanation:
Substitute p for 3/5 so it would be 2/3(3/5)+3
2/3(3/5)= 2/5
2/5+3=17/5 or 3.4
Hope this helps :)
Answer:
Step-by-step explanation:
Substitute p for 3/5 so it would be 2/3(3/5)+32/3(3/5)= 2/52/5+3=17/5 or 3.4
For which value of x is line l parallel to line m?
Answer:
70
Step-by-step explanation:
If lines l and m are parallel, then using the corresponding angles theorem, the angle that forms a linear pair with angle [tex]x[/tex] is [tex]110^{\circ}[/tex].
This means that [tex]x=70[/tex].
What is the value of X? x(x² - 3x - 40) = 0
please show me how u solve it
Answer: x = 0, 8, -5
Step-by-step explanation:
We are trying to solve what value we substitute x into to get the value of 0. We have x outside of (x² - 3x - 40), and we can set that equal to 0. That will be one value of x because we are still left with (x² - 3x - 40). To solve this, we can factor it out into (x-8)(x+5). Set each equal to 0, (x-8) = 0 which leaves us with x = 8, and (x+5) =0, which leaves us with x = -5.
Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated.
580 Ib to kg. (Round to the nearest hundredth as needed.)
By using the dimensional analysis 580 lb = 263.084 kg.
What is dimensional analysis?
Dimensional analysis, which is used in both engineering and science, examines the links between various physical quantities by determining their foundational quantities and units of measurement and then following these dimensions while computations or comparisons are made.
A technique for analysis that, in the absence of sufficient data to establish accurate equations, expresses physical quantities in terms of their fundamental dimensions.
We have to convert 580 lb into kg along with the dimensional analysis.
Since, 1 pound (lb) is equal to 0.45359237 kilograms (kg).
So,
580 lb = (0.4535927) x 580
580 lb = 263.0835746
580 lb = 263.084 kg
Hence, along with the dimensional analysis 580 lb = 263.084 kg.
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Question 1 (Multiple Choice Worth 5 points) (Graphing Proportional Relationships MC) The table shows a proportional relationship between x and y. x 4.3 9.2 3.4 y 17.2 36.8 13.6 Which of the following correctly describes the graph of the relationship? a.A line that goes through (0, 0) and (17.2, 4.3). b.A line that goes through (4.3, 17.2) and (36.8, 9.2). c.A line that goes through (17.2, 4.3) and (9.2, 36.8). d.A line that goes through (0, 0) and (4.3, 17.2).
The statement that correctly describes the graph of the relationship is (d) A line that goes through (0, 0) and (4.3, 17.2).
How to describe the graph?The table of values is given as
x 4.3 9.2 3.4
y 17.2 36.8 13.6
The table shows a proportional relationship
This means that the line of the graph must pass through the origin i.e. (0, 0)
From the table of values, we have the following point
(4.3, 17.2)
This means that the line of the graph goes through (0, 0) and (4.3, 17.2).
Hence, the true statement is (d)
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Answer:
No, it is not proportional because 9.2 over 18.4 does not equal 17.6 over 52.8.
Step-by-step explanation:
A statistician calculates that 8% of Americans own a Rolls Royce.
If the statistician is right, what is the probability that the proportion of Rolls Royce owners in a sample of 694 Americans would differ from the population proportion by less than 3%? Round your answer to four decimal places.
The probability that the proportion of Rolls Royce owners in a sample of 694 Americans would differ from the population proportion by less than 3% is; 0.36%
How to use the central limit theorem?
The Central Limit Theorem states that, for a normally distributed random variable X, with mean μ and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s = σ/√n
The standard deviation for proportion is given by the formula;
s = √(p(1 - p)/n)
We are given;
p = 8% = 0.08
n = 694
Thus;
s = √(0.08(1 - 0.08)/694)
s = 0.0103
Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Due to the fact that the normal distribution is symmetric, the probabilities will be equal, and as a result, we find one of them and multiply by 2.
Probability the proportion is less than 5%:
P-value of Z when X = 0.05.
z = (X - μ)/s
z = (0.05 - 0.08)/0.0103
z = -2.91
From p-value from z-score calculator, we have;
p-value = 0.001807
We multiply it by 2 to get the probability
Probability = 2 * 0.001807 = 0.0036 = 0.36%
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On a website that sells funny T-shirts, the number of customers has been falling 10% per month. If the site had 14,000 customers this month, then how many should it expect to have 10 months from now?
If necessary, round your answer to the nearest whole number.
customers
It should expect 4881 customers to have 10 months from now.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that T-shirts, the number of customers has been Falling 10% per month
There are 14,000 customers this month
Now Creating the function :
Let y be the remaining customers and x be the number of months from now
y = (14,000)(1 - 0.1)ˣ
y = (14,000)(0.9)ˣ
Solving :
y = (14,000)(0.9)¹⁰
y = (14,000)(0.34867844)
y = 4881 customers
(nearest whole person)
Hence, it should expect 4881 customers to have 10 months from now.
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Answer:
It should expect 4881 customers to have 10 months from now.
what is the momentum of an automobile with a mass of 1200 kilograms moving at 6 meters per second
The momentum of the automobile is 7200 kgm/s
What is momentum?
Momentum can be described as the product of the velocity and mass of an object.
It is a vector quantity which is defined as a quantity having both magnitude and direction.
The formula for calculating momentum is expressed as;
p = mv
Where;
p is the momentum of the objectm is the mass of the objectv is the velocity of the objectNow, let's substitute the values
p = 1200(6)
expand the bracket
p = 1200 × 6
Multiply the values
p = 7200 kgm/s
Hence, the value is 7200 kgm/s
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Question Solve the equation. −2 1/4=r−4/5 r=
Answer:
[tex]r=\frac{21}{20}[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{1}{4} =r-\frac{4}{5}[/tex]
Add 4/5s on both sides:
[tex]-\frac{4}{5} +\frac{4}{5} =0[/tex]
[tex]\frac{1}{4} +\frac{4}{5}[/tex]
Find the LCM:
[tex]\frac{5}{20}+\frac{16}{20}[/tex]
[tex]\frac{5+16}{20}[/tex]
[tex]\frac{21}{20}[/tex]
[tex]r=\frac{21}{20}[/tex]
Hope this helps.
let's firstly convert the mixed fraction to improper fraction, now keeping in mind that the LCD of the denominators 4 and 5 is 20, let's use that LCD to do away with the denominators.
[tex]\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{9}{4}=r-\cfrac{4}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( -\cfrac{9}{4} \right)=20\left( r-\cfrac{4}{5} \right)}\implies -45=20r-16 \\\\\\ -29=20r\implies -\cfrac{29}{20}=r\implies -1\frac{9}{20}=r[/tex]
4 + x = 13 can be solved using the Subtraction Property of Equality. true or false
Answer: True
PLEASE GIVE ME BRAINLIEST THANK YOU VERY MUCH
True, the Subtraction Property of Equality can be used to solve it.
The equality subtraction property refers to balancing an equation by performing the same mathematical operation on both sides.
Let's work through your equation step by step.
4+x=13
Step 1: Take 4 off both sides.
4+x−4=13-4
x=9
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100 points answer asap
A park is shaped like a rectangle and measures 3.4 mi by 6.6 mi.
What are the perimeter and area of the park?
Enter your answers in the boxes.
Perimeter: ______ mi
Area: _____ mi²
Answer:
Perimeter: 20 mi
Area: 22.44 mi^2
Step-by-step explanation:
perimeter formula for a rectangle is 2 times length plus 2 times width
2(3.4)+2(6.6)
6.8+13.2
20 is the perimeter
Now for the are we multiplying the length and width to find area
3.4x6.6
22.44 is the area
Hopes this helps please mark brainliest
Pam has worked for the same employer for 5 years. Her current salary is $73,500
which is 122.5% of her starting salary. What was Pam's starting salary?
What was Pam's starting salary?
Pam's current salary for 5 years = $73.500
Her salary went up for 122.5% in 5 years.
a = her starting salary
First, we will make an equation of this problem.
Let's use a as the symbol of her starting salary
equation that we are going to use
73500 = 122.5% x a
Next, we move a to the left and we want to divide 73500 with 122.5%
a = 73500 / (122.5/100)
Next, we want to divide 73500 with 1.225 since we've done dividing 122.5 with 100
a = 73500 / 1.225
a = 60000
Finally, we got the answer of Pam's starting salary was $60.000
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Begging for HELP please been working on thus for 3 days and just can't make it click. please help
A) Write the letter of the graph that matches each equation below. If there is no match, none
i. y = 16x
ii. y = .25x
iii. y = 4.5x
iv. y = .05x
v. y = 10x + 1
(b) Find an equation for an exponential function that lies between graph A and graph B in the
second quadrant.
(c) Find an equation for the function that is parallel to E and has a y-intercept of (0,-4).
(d) Find an equation for an exponential function that has a greater constant percent rate of change than graph C.
(e) Find the equation of the line that is perpendicular to E and has a y-intercept of (0,5).
The analysis of the given functions is as follows;
i. y = 16ˣ ⇒ Graph C
ii. y = 0.25ˣ ⇒ Graph B
iii. y = 4.5ˣ ⇒ Graph D
iv. y = 0.5ˣ ⇒ Graph A
v. y = 10·x + 1 ⇒ Graph E
(b) The equation of the exponential function is; y = 0.375ˣ
(c) The equation of the line is; y = 10·x - 4
(d) y = 25ˣ
(e) The equation of the perpendicular line is; y ≈ 5 - 0.1·x
What are exponential functions?An exponential function in which the argument is the index value such that the power to which a constant is raised, is the argument.
i. The values of the function y = 16ˣ is given by the function that has a value of 4 when x = 0.5, which corresponds with the graph C
ii. The function, y = 0.25ˣ decreases as the value of x increases, from negative to positive which corresponds to the graph B
iii. The function y = 4.5ˣ has a value of 4.5 when x = 1, which corresponds with the graph D
iv. The function, y = 0.5ˣ also decreases as x increases and has a value of 5 when x = -1, which corresponds to the graph A
v. The function, y = 10·x + 1 is a linear function which corresponds with the graph E
(b) The exponential function of graph A and B are y = 0.5ˣ and y = 0.25ˣ respectively
An exponential function that lies between graph A and graph B is obtained by adjusting the y-intercept value to be between 0.5 and 0,25 as follows;
[tex]y =\left(\dfrac{ 0.5 + 0.25}{2}\right)^x = 0.375^x[/tex]
The exponential function that is located between graph A and B is 0.375ˣ
(c) The equation of the function of graph E is; y = 10·x + 1, which is of the form y = m·x + c
Where comparing, we get, m = 10 = The slope of the graph
The slope of parallel lines are congruent, therefore, the slope of the line parallel to the line E is also 10
The equation of the line passing through (0, -4), and parallel to the graph E in point and slope form is y - (-4) = 10·(x - 0)
y + 4 = 10·x
The equation of the line is; y = 10·x - 4
(d) An equation for an exponential function with a higher constant percent rate than graph C, y = i6ˣ is y = 25ˣ
(e) The slope of the line perpendicular to the line E, y = 10·x + 1, that has a slope m, is found as follows;
[tex]m_{\perp} = -\dfrac{1}{m}[/tex]
[tex]m_{\perp} = -\dfrac{1}{10} = -0.1[/tex]
The equation of the line is therefore; y - 5 = -0.1 × (x - 0)
y = -0.1·x + 5 = 5 - 0.1·x
The equation of the line perpendicular to line E is y = 5 - 0.1·x
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Which graph has a slope of 4/5?