Answer: he will be left with 31.74 dollars
Step-by-step explanation:
i first put 55.00 - 4.50 = 50.5
then you subtract 50.5 with 6.25 3 times so the and is 31.74
hope this helped !!
helppp PLSSSSSSSSSSSSS I NEEED HELPPPPPPPPPPPPPPPPP
Answer:
15c + 19d
Step-by-step explanation:
Here to simplify we have to add like-terms
3c + 14d + c + 11c + 5d = ( 3c + c + 11c) + ( 14d + 5d) = 15c + 19d
Glad to Help
Graph the equation by using the slope intercept method
For the given equation 4x + 3y =21 the slope intercept form is given by y = (-4/3)x + 7.
Graph is attached.
As given in the question,
Given equation is equal to :
4x + 3y = 21
To get the slope intercept form of the given equation we have,
Subtract 4x from both the sides of the given equation we have,
4x + 3y - 4x = 21 - 4x
⇒ 3y = 21 - 4x
Now divide by 3 on both the sides of the equation we get,
3y / 3 = (-4/3)x + (21/3)
⇒ y = (-4/3) x + 7
Graph of the given equation in slope intercept form y = (-4/3) x + 7 is attached.
When x = 0 ⇒ y = 7
y= 0 ⇒ x = 21 /4
Therefore, for the given equation 4x + 3y =21 the slope intercept form is given by y = (-4/3)x + 7.
Graph is attached.
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In ΔSTU, TU = 11, US = 17, and ST = 18. Which statement about the angles of ΔSTU must be true?
For the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
As given in the question,
In the given triangle STU,
TU = 11
US = 17
ST = 18
we can see that
TU < US < ST
⇒ 11 < 17 < 18
⇒ 11 + 17 = 28
⇒ 28 > 18
All the sides of the triangle are not equal to each other.
This implies that all the angles opposite to the unequal sides are also not equal to other.
Therefore, for the given triangle STU all the angles of ΔSTU are not equal to each other is the true statement .
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17. If a = 3b^2 and a = 27, what is one value of b?
4.5
9
1.73
3
Answer:
b = 3
Step-by-step explanation:
Given that,
→ a = 27
Forming the equation,
→ 27 = 3b²
Now the value of b will be,
→ 27 = 3b²
→ b² = 27/3
→ b = √9
→ [ b = 3 ]
Hence, the value of b is 3.
⇒Given that a=27 in the equation [tex]a=3b^{2} \\[/tex] in the place of a plug in 27 and solve for b
[tex]27=3b^{2} \\\frac{27}{3} =\frac{3b^{2}}{3} \\b^{2} =9\\b^{2}-9=0\\(b+3)(b-3)=0\\b+3=0\\or\\b-3=0\\b=-3\\or\\b=3[/tex]
⇒Note b can also be -3 but the only option available as the answer is 3
∴ b=3 in this case.
a physics professor wants to know what percent of physics majors will spend the next several years doing post-graduate research. he has the following probability distribution. x p (x) 1 0.35 2 0.2 3 0.15 4 ? 5 0.10 6 0.05 (a) on average, how many years would you expect a physics major to spend doing post-graduate research?
It can take 3 years that a physics major to spend doing post-graduate research
Given that,
A physics professor is curious about the proportion of physics majors who will pursue post-graduate study during the coming years. He has the probability distribution shown below. x P(x) x*P (x) 1 0.35 2 0.20 3 0.15 4 5 0.10 6 0.05
To find P(X<=3)
P(X<=3)=P(X=0,1,2,3)=P(X=0)+P(X=1)+P(X=2)+P(X=3)
= 0.35+0.20+0.15
= 0.7
P(X<=3)=0.7
Hence, A physics major may need to spend three years conducting post-graduate research. and the probability that a physics major will spend no more than three years conducting post-graduate research is 70% or 0.7
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answer please will give 20 points
Answer:plot the point (2,5)
Step-by-step explanation:
a student in public administration wants to estimate the mean monthly earnings of city council members in large cities. she can tolerate a margin of error of $100 in estimating the mean. she would also prefer to report the interval estimate with a 95% level of confidence. the student found a report by the department of labor that reported a standard deviation of $1,000. what is the required sample size? (hint: round your answer up to the nearest whole number)
the required sample size for the interval estimate with a 95% level of confidence is 385
since we are given the margin of error which is f $10 and a standard deviation which is $1,000, and we are also given the level of confidence which is 95%
so the formula we are referring to calculate the sample size is :
n=z(0..95)*s²/ E
here, E is the margin of error, S is the standard deviation
so z score of 0.95 is 1.96
so n = 1.96*1000^2/100
= 384.16 ,which is almost 385
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Find x if AC= 17, BD = 2x - 6, AD= x + 16, and BC = 6
Answer:
Hey, hope it helps my friend
Step-by-step explanation:
In the image
For her final project, stacy plans on surveying a random sample of students on whether they plan to go to florida for spring break. From past years, she guesses that about % of the class goes. Is it reasonable for her to use a normal model for the sampling distribution of the sample proportion? why or why not?.
Yes, it is reasonable for her to use a normal model for the sampling distribution of the sample proportion. In this case, less than ten efforts have been successful. Since 5 is a lot less than 10, this is the case.
Because the data don't fit the success and failure criteria, it is not appropriate to adopt a normal model for a sampling of the sample distribution.
50 students make up the sample. The probability that she assumes 10% of the group will attend is 10%.
It will be demonstrated by:
1 - p = 1 - 10% = 1 - 0.10 = 0.90
np = 50 × 0.1 = 5. This suggests the number of victories.
Less than 10 attempts have succeeded in this instance. 5 is much less than 10, hence this case. As a result, the data does not satisfy the requirement.
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The question is -
For her final project, Stacy plans on surveying a random sample of 50 students on whether they plan to go to Florida for spring break. from past years, she guesses that about 10% of the class goes. is it reasonable for her to use a normal model for the sampling distribution of the sample proportion? why or why not?
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure?
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 7 units left and 1 unit up.
2. Rotate the triangle 90º clockwise about the origin and then translate it 7 units left and 1 unit up.
3. Rotate the triangle 90º counterclockwise about the origin and then translate it 1 unit left and 7 units down.
4. Rotate the triangle 90º clockwise about the origin and then translate it 1 unit left and 7 units down.
The choice which describes a sequence of transformations in which the blue figure is the image of the red figure is: 4. Rotate the triangle 90º clockwise about the origin and then translate it 1 unit left and 7 units down.
What is a rotation?In Mathematics, the rotation of a geometric figure 90° about the origin in a clockwise or counterclockwise direction would produce a geometric figure that has these coordinates (y, -x).
From the information provided in the graph about the transformation applied to the red triangle to create the blue triangle, we have the following ordered pairs that represents a rotation of 90º clockwise:
(x, y) → (y, -x)
Ordered pair A = (-5, 2) Ordered pair A' = (2, 5)
Ordered pair B = (-5, 6) Ordered pair B' = (6, 5)
Ordered pair C = (-1, 2) Ordered pair C' = (2, 1)
After a translation of 1 unit left and 7 units down, we have:
Ordered pair A' = (2, 5) → Ordered pair A' = (2 - 1, 5 - 7) = (-1, -2)
Ordered pair B' = (6, 5) → Ordered pair B' = (6 - 1, 5 - 7) = (.5, -2)
Ordered pair C' = (2, 1) → Ordered pair C' = (2 - 1, 1 - 7) = (-1, -6)
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3b(2x-z^3)=2h-7gx change the subject to x
Answer:
Step-by-step explanation:
3b(2x - z^3) = 2h - 7gx Distribute 3b
6bx - 3bz^3 = 2h - 7gx Add 3bz^3 to both sides
6bx = 3bz^3 + 2h - 7gx Add 7gx to both sides
6bx + 7gx = 3bz^3 + 2h Factor left side, factor out a gcf of x
x(6b + 7g) = 3bz^3 + 2h Divide both sides by (6b + 7g) to isolate x
x = (3bz^3 + 2h)/ (6b + 7g)
Pls help/ A function (x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
Enter your answer in the box.
f(x)=
The function rule in slope-intercept form is y = -4x - 2
How to calculate the slope-intercept form of this function?Mathematically, the slope-intercept form of a straight line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.From the graph of this line, we have the following data points:
Point (x, y) = (-1, 2)
Point (x, y) = (0, -2)
In Mathematics, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (-2 - 2)/(1 - 0)
Slope, m = -4/-1
Slope, m = -4
Note: The y-intercept occurs at the point where the x-value is equal to zero (0).
Now, we can write the function rule for this line in slope-intercept form as follows:
y = mx + c
y = -4x - 2
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PLEASE HELP ME THIS IS DUE TOMORROW!!!!!!!!
(a) The scatter plot and the line of fit are shown in the graph.
(b) The equation of the line of fit is y = -2.5x+18.3.
(c) The slope is -2.5 which indicates that the gamer losses 2.5 every week after getting a new game.
What is a scatter plot?A scatter plot is a graph of the given points or given data.
(a)
To make a scatter plot of the data, plot the points (x,y) on a graph.
To draw the line of fit, draw a line such that the distance between the line and the plotted points is minimum.
(b) The line passes through points (7.3,0)and (0,18).
The equation of the line is given by:
[tex]y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)[/tex]
Substitutes the points (x₁,y₁) = (7.3,0) and (x₂,y₂)=(0,18) into the above equation:
[tex]y-0=\frac{18-0}{0-7.3}(x-7.3)\\y=-2.5(x-7.3)\\y=-2.5x+18.3[/tex]
(c) The slope of a line of the form y=mx+c is m.
Therefore, the slope of the line y=-2.5x+18.3 is m = -2.5.
The slope indicates the change in y with respect to the change in x.
Therefore, the slope -2.5 indicates that the gamer losses 2.5 every week after getting a new game.
Hence,
(a) The scatter plot and the line of fit are shown in the graph.
(b) The equation of the line of fit is y = -2.5x+18.3.
(c) The slope is -2.5 which indicates that the gamer losses 2.5 every week after getting a new game.
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A thermostat in a house regulates when the heater turns on and off. The heater turns on then
the house is 4° below the set temperature and turns off when the house is 4° above the set
temperature. The temperature is set at 68°. At 10:15am the heater turns on, and at 10:30am the
heater turns off. Write a sinusoid that models the change in temperature in the house.
The sinusoid that models 4° = A cos B(x - C) and 68° = A cos B(x - C) the change in temperature in the house.
The heater turns on when the house is 4° below the set temperature and turns off when the house is 4° above the set temperature. The temperature is set at 68°. At 10:15 am the heater turns on, and at 10:30 am the heater turns off.
Temperature fluctuations can be modeled using the sine and cosine functions throughout the day.
The equations that can be used to model these data is of the form:
At 10:30 am the heater turned off,
⇒ 4° = A cos B(x - C)
At 10:15 am the heater turned on,
⇒68° = A cos B(x - C)
where A, B, and C are constants, y is the temperature in °C and x is the time
Thus, The sinusoid that models 4° = A cos B(x - C) and 68° = A cos B(x - C) is the change in temperature in the house.
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The scatter graph shows the maximum temperature and the numbers of hours of sunshine in 13 British towns in one day.
A line of best fit has also been drawn.
One of the points in an outliner.
a) Write down the coordinates of this point. (1)
b) For all the other points write down the type of correlation in just one word. (1)
On the same day, in another British town, the maximum temperature was 17.4C.
c) Estimate the number of hours of sunshine in this town on this day. (2)
You must use the drawing tool to show how the line of best fit has been used to get your answer.
A weatherman says that temperatures are lower on days when there is less sunshine.
d) Does the scatter graph support this? (1)
A yes B no C can't say
Total marks: 5
Answer:
See attached worksheet.
Step-by-step explanation:
The worksheet summarizes the steps for analyzing the data on the graph. Note that a "line of best fit" was drawn to help illustrate the linear behavior of the data, and to better the question concerning hours of sunshine in another British town. There are techniques for ensuring a line such as this fits the actual data as closely as possible. These techniques draw a line that has the least overall deviation from the actual data. For our purposes, a hand-drawn line appears to match the data reasonably well, so we are able to concule that the relationship is liner: There is a proportional change in y for every set change in x. That change is known as the slope. The slope of this liner would represent the direct relationship between hours of sun and maximum temperature.
A class of 25 children shares 600 beads.
On a day when 1 child is absent, what is the ratio of the number of children present to the number of beads?
Answer:
Step-by-step explanation:
The answer would be 24:600. One student is absent so there are 24 students present. The number of beads is still 600, so the ratio is 24:600 which simplifies to 1:25.
Decrease 330 km by 54%.
Answer: 151.8
Step-by-step explanation:
330/100 x 54 = 178.2
330- 178.2 = 151.8
a popular resort hotel has 300 rooms and is usually fully booked. about 6% of the time a reservation is cancelled before the 6:00 p.m. deadline with no penalty. what is the probability that at least 275 rooms will be occupied? use the binomial distribution to find the exact value. a. 0.01 b. 0.96 c. 0.93 d. 0.85
When binomial distribution is used, the probability that at least 275 rooms are occupied is 0.96
Option b. is correct
We have the following parameters:
sample, n=300
proportions of rooms reserved, p=6%
We first get the sample mean,
Sample mean=n*p
=300*6%
=18
Now, we get population mean according to binomial distribution, μ'
μ=n-sample mean
=300-18
=282
We get the standard deviation, σ
σ=(sample mean*(1-p))^1/2
=(18*(1-6%))^1/2
=4.11
We now, calculate z-score:
z=(x-μ)/σ, given x should be at least 275
z=(275-282)/4.11
=-1.703
Now, we have p(x>275)=p(z>-1.703)
From z-score of probabilities, we have p(z>-1.703) as 0.95572
So, p(x>275)=0.95572
=0.96
Hence, the probability that at least 275 rooms are occupied is 0.96
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Find g(x), where g(x) is the translation 2
units left of f(x)= -5x + 5.
Answer:
g(x)=(-5x+2)+5
Step-by-step explanation:
Explain how the equations 2/3m=-4 and -4m=24 are equivalent?
Both 2/3m=-4 and -4m=24 have a solution of 1/6 and are equivalent
What are algebraic expressions?Algebraic expressions are described as expressions that contains terms, variables, coefficients, constants and factors.
They are also known to be made up of some arithmetic operations, such as;
AdditionSubtractionMultiplicationDivisionBracket ParenthesesWe have the equations;
2/3m=4 and -4m=24
Let's solve for m in the first equation
12m = 2
Divide both side by coefficient of m
m = 2/ 12 = 1/ 6
For the second equation
-4m = 24
Divide both sides by - 4
m = 24/-4
m = 6/ -1
Take inverse
m = 1/6
Hence, the equations are equivalent
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1. Why is identifying
the domain and range important when
defining a function?
Identifying the domain and range is important when defining a function because domain gives all the input values and range gives all the output values a function can take. It is very essential to know domain and range of a function.
Domain are represented by independent variable and are graphed on x coordinate of the axis.
Range are dependent values and are graphed on y axis of the graph.
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Write an expression for the following situation: 4 less than 20 times some number.
A. 20-x-4
B. 20 + x - 4
C. 20x - 4
D. 20 - x + 4
Answer: D
Step-by-step explanation: Took the test
Marsha deposited $5500 into a savings account 4 years ago. The simple interest rate is 5% How much money did Marsha earn earn in interest?
Marsha deposited $5500 into savings with 5% interest rate
1st year, Marsha will earn : [tex]0.05 \times 5500 = 275[/tex]
2nd year, Marsha will earn: [tex]0.05 \times 5775 = 288.75[/tex]
3rd year, Marsha will earn: [tex]0.05 \times 6063.75 = 303.19[/tex]
4th year, Marsha will earn: [tex]0.05 \times 6366.94 = 318.35[/tex]
The number of computer security breaches is expected to increase at a yearly rate of
86%.
Use the exponential growth model to determine the equivalent monthly rate.
Enter the rate, to the nearest tenth of a percent, in the box.
List all factors of the numerator and denominator. Use gcf method to simplify Creduce) each fraction. You must show work
The reduced fraction is 6/7 using GCF method.
What is GCF method?
The largest number, which is the factor of two or more number is called the Greatest Common Factor (GCF). It is the largest number (factor) that divide them resulting in a Natural number. Once all the factors of the number are found, there are few factors which are common in both. The largest number that is found in the common factors is called the greatest common factor. The GCF is also known as the Highest Common Factor (HCF)
Given,
the fraction = 24/28.
the factors of 24 = 2×2×2×3
The factors of 28 = 2×2×7
The gcf is 2 × 2 = 4
divide the denominator and numerator by 4
24 ÷ 4 = 6
28÷ 4 = 7
We get,
the fraction = 6/7.
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What causes an echo?
rarefaction
reflection
refraction
Answer:
Reflection
Step-by-step explanation:
Reflection is like looking at yourself through a mirror, so it would be the same for sound.
Tell me if this is correct.!
Answer:
Reflection
Step-by-step explanation:
i took this quiz
What is the equation of the line that passes through the point (6,-5) and has a slope of -{1}{3}?
Answer:
y = - [tex]\frac{1}{3}[/tex] x - 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{1}{3}[/tex] , then
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
to find c substitute (6, - 5 ) into the partial equation
- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3
y = - [tex]\frac{1}{3}[/tex] x - 3 ← equation of line
write the quotient as a power. a^21/a
the quotient as a power. a^21/a is a^20.
What is Power?
In mathematics, power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.
What is quotient?
The number we obtain when we divide one number by another is the quotient.
What is exponential function?
An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.
Given that,
a^21/a
quotient as power = a^21/a
= a^(21-1)
= a^20
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Charis invested 140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charis received at the end of two years?
The amount received by Charis on Simple interest in 2 years will be $8.4
What is Simple Interest?
The process of figuring out how much interest will accrue on a given principal sum of money is known as simple interest (S.I.).
It's formula is given by S.I. = PRT/100 where P = principle amount
R= rate and T = time.
Main Body:
P= $140
R= 3%
T= 2 years
so S.I. = 140*2*3/100
S.I. = $ 8.4
Hence total amount received by Charis at the end of 2 years will be $8.4
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Hey, I haven't been able to get any of these right, I wasn't a there the day we learned this and i'm needing help getting the rest of it done before 3:00. Could any of you please help me out on this, it'd mean a lot!
The correct graph for each of the equations are respectively;
5) Graph C
6) Graph A
7) Graph B
How to Interpret Linear Equation Graphs?The general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
5) We are given the linear equation as;
-9x + 3y = 0
3y = 9x + 0
y = 3x + 0
The slope is 3 and y-intercept is zero. Thus, the correct graph for this function is; Graph C
6) We are given the linear equation as;
4x - 6y = 12
Rearranging we have;
6y = 4x - 12
y = ⁴/₆x - 2
y = ²/₃x - 2
Thus, slope is 2/3 and y-intercept is -2. The correct graph is graph A
7) The correct graph of the function 25x - 10y = -50 is the graph B.
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