Answer:
$63.84
Step-by-step explanation:
If Sam purchases an $84 book with 24% off, he pays $63.84. This is because first you want to find what percent of the book Sam has to pay for. Because it is 24% off, Sam has to pay for 76% of the book (100-24). Then, convert 76% to a decimal (.76) by moving the decimal to the left two digits. Lastly, multiply 84 by .76.
The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.
Answer:
Vertices A B y C
A ( 2 , 3 ) B ( -1 , 1 ) C ( 3, 1 )
Step-by-step explanation:
We have to solve a two-equation system, by pair of equations as follows
equation (1) 2x - 3y + 5 = 0
equation (2) 2x + y -7 = 0
Solving this system we find let´s say vertex A
0x - 4y +12 = 0 y = 3
Then x ?
2x - 3y + 5 = 0
2x - 9 + 5 = 0 ⇒ 2x = 4 x = 2
Then vertex A ( 2 , 3 )
From equation (1) and (3)
2x - 3y + 5 = 0
2x + 5y - 3 = 0
Agan subtracting (1) - (2)
0x -8y + 8 = 0
y = 1 and
2x + 5y = 3
2x + 5 = 3
2x = -2
x = -1
Vertex B ( -1 , 1 )
Finally from equation (2) and (3) we get the third vertex C
2x + y - 7 = 0
2x + 5y - 3 = 0
0x -4y -4 = 0
y = 1
2x + y = 7
2x + 1 = 7
2x = 6
x = 3
C ( 3 , 1 )
A furniture factory makes 250 tables each day. Create an equation that can be used to find the total number of tables made, y, after x days.
Answer:
The equation would be y=250x
Step-by-step explanation:
They are making 250 tables a day (x)
we put the x next to the 250 because that number will change everyday.
y would equal our total
I need to find what the square root is to 19,478,730. my teacher literally put that. help
Answer: 4413.5
Step-by-step explanation:
4413.47142 if you need to be exact
need help with this please
Answer:
ok
Step-by-step explanation:
...............................................................
Answer:
I can't relly see can you take a cloeser pick
A professor is interested in comparing the characteristics of students who do and do not vote in elections. For a random sample of 114 students who claimed to have voted in the last presidential election, she found a mean CPA of 2.71 and a standard deviation of 0.64. For an independent sample of 123 students who did not vote, the mean CPA was 2.79 and the standard deviation was 0.56. Test at the 5% level of significance if the mean CPA of all students who vote is lower than the CPA of students who do not vote.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 114[/tex]
The sample mean is [tex]\= x_1 = 2.71[/tex]
The standard deviation is [tex]s_1 = 0.64[/tex]
The second sample size is [tex]n_2 = 123 [/tex]
The sample mean is [tex]\= x_2 = 2.79[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The standard deviation is [tex]s_2 = 0.56 [/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu _2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test hypothesis is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{2.71 - 2.79}{ \sqrt{ \frac{0.64^2 }{ 114} + \frac{0.56^2}{123} } }[/tex]
=> [tex]t = -1.01 [/tex]
Generally given that variance are not equal (the standard deviation squared of both population are not equal ) the degree of freedom is mathematically represented as
[tex]df = \frac{[\frac{s_1^2}{n_1 } + \frac{s_2^2}{n_2} ]}{\frac{[\frac{s_1^2}{n_1}]^2 }{n_1 - 1} + \frac{[\frac{s_2^2}{n_2}]^2 }{n_2 - 1}}[/tex]
=> [tex]df = \frac{[\frac{0.64^2}{114} + \frac{0.56^2}{123} ]}{\frac{[\frac{0.64^2}{114}]^2 }{114 - 1} + \frac{[\frac{0.56^2}{123}]^2 }{123 - 1}}[/tex]
=> [tex]df = 225[/tex]
Generally from the t distribution table the the probability of (t < -1.01) at a degree of freedom of [tex]df = 225[/tex]is
[tex] p-value = P(t < -1.01 ) = 0.15679[/tex]
Generally the value obtained we see that [tex]p-value > \alpha[/tex] so
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote
question 5 i mark as brainliest
Answer:
5,129
Step-by-step explanation:
Answer:
C. 5129
Step-by-step explanation:
5.129 x [tex]10^{3}[/tex]
you will move the decimal to the right 3 times.
kyle has 105 baseball cards and must give 2/5 of his cards away. how many cards will kyle give away? what fraction of his cards does he have left?
Triangle BIG is similar to triangle MOP . Find v .
Answer:
63:42
so this is
3:2
[tex] \frac{33}{3} = \frac{v}{2} [/tex]
[tex]v = \frac{2 \times 33}{3} = \frac{66}{3} = 22[/tex]
v=22
The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.
Calculation of the value of v:Since as per both the figures we can write the ratio like 63:42 so it can be like 3:2
So the calculation could be done below
[tex]33 \div 3 = v \div 2\\\\v = 2 \times 33 \div 3\\\\= 66 \div 3[/tex]
= 22
Hence, The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.
Learn more about triangle here: https://brainly.com/question/9721655
Determine whether a statement is True or False. If it is False, provide an explanation or give an example:
Complete Question:
Determine whether the statement is true or false. If it is false, provide an explanation or give an example.
If f is decreasing on [a,b] then the minimum value of f(x) on [a,b] is f(a)?
Answer:
False
Step-by-step explanation:
Given
[a,b]
Where f(x) is decreasing
Required
Is the minimum f(a)?
This statement is false and it is proved using the following illustration
Take f(x) to be
[tex]f(x) = -2x[/tex]
The above represents a decreasing function because:
f(x) decreases as x increases
Having said that:
Assume [a,b] is:
[tex][a,b] = [2,5][/tex]
Substitute the value of a i.e. 2 for x in f(x)
[tex]f(2) = -2 * 2[/tex]
[tex]f(2) = -4[/tex]
Substitute the value of b i.e. 5 for x in f(x)
[tex]f(5) = -2 * 5[/tex]
[tex]f(5) = -10[/tex]
Notice that f(b) < f(a) i.e. -10 is less than -4
Hence:
f(x) is minimum at f(b)
Conclusively, the statement is false
PLEASE HELP MATH!!!1
PRACTICE ANOTHER Is 4a a factor of 2a · 38b? (Assume that a and b represent integers.) Yes, because 4 is a multiple of 38. Yes, because 2a · 38b = 4a · 19b where 4a and 19b are integers because a and b are integers and products of integers are integers. Yes, because 4a is a divisor of 38b. No, because 38 is not a divisor of 4. No, because 2a · 38b = 4a · 19b where 4a and 19b are not necessarily integers because products of integers are not always integers.
Answer:
Yes, [tex]2a . 38b = 4a . 19b[/tex]
Step-by-step explanation:
Given
[tex]Expression: 2a.38b[/tex]
Required
Is 4a a factor of the expression?
Analyzing each option.
1.
[tex]2a . 38b = 4a . 19b[/tex]
[tex]76ab = 76ab[/tex]
The above expression is true.
Hence: This option answers the question
The following list has a mean of 24. What would be the new mean if 17 was added to the list? 12,30,19,27,21,35
Answer:
23
Step-by-step explanation:
Answer:
The new mean should be 23.
Step-by-step explanation:
The mean of a group of numbers is the average.
We can find the average of a group of numbers by adding them all together and then dividing the final sum by the amount of numbers in the list.
All the numbers added together totaled to 161, and 161 divided by 7 equals 23.
Hope this helps!
Question 2 (4 points)
A student rolled two six-sided dice. what is the probability that the first die landed
on a number less than 3 and the second die landed on a number greater than 3?
Answer:
Step-by-step explanation:
Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?
[−8.728, 5.728]
[1, 5.728]
[−3, 5.728]
(0, 5.728]
Answer:
its d
Step-by-step explanation:
thank the guy up top
Using quadratic formula, the possible values of x lies in [0, 5.728].
What is a quadratic formula?The quadratic formula is a formula that provides the solution to a quadratic equation.
[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \\\\when\ ax^2 + bx + c = 0\\a, b, c = constants, \\where\ a != 0\\x= the\ unknown[/tex]
The equation in the given question is-
[tex](x+3)(x) < =50\\\\x^{2} +3x-50 < =0\\\\x^{2} +3x-50=0\\\\x = \frac{-3 +\sqrt{9+4*50} }{2} ,\frac{-3 -\sqrt{9+4*50} }{2}\\\\x = \frac{-3 +\sqrt{209} }{2} ,\frac{-3 -\sqrt{209} }{2}\\\\\\x = -8.728, 5.728\\\\x =[-8.728, 5.728][/tex]
But, x cannot be negative so x lies in [0, 5.728].
Learn more about quadratic formula here
https://brainly.com/question/2615966
#SPJ2
Is - 60 a solution of 1/12*=5?
Answer:
No -60 is not a solution
Step-by-step explanation:
x = 5/12 = 2.400
-60 is not a solution of 5/12, or 1/12*=5.
Hope I helped.
Plz help
(5x)2 square = X2square
Answer:
± 25
Step-by-step explanation:
can someone help me it is math please I will mark brainlist
Answer:
The difference of a number and seven → n - 7The sum of seven and a number → n + 7The product of seven and a number→ 7nThe quotient of a number and seven → [tex]\frac{n}{7}[/tex]Step-by-step explanation:
Difference = subtraction, so the difference of a number and seven is n - 7Sum = addition, so the sum of seven and a number is n + 7Product = multiplication, so the product of seven and a number is 7nQuotient = division, so the quotient of a number and seven is [tex]\frac{n}{7}[/tex]I hope this helps!
Answer:
1 goes to n-7
2 goes to n+7
3 goes to 7n
4 goes to n/7
Step-by-step explanation:
The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6 grams. If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams?
Answer:
If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
Step-by-step explanation:
Mean = [tex]\mu = 464[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02
The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.
n = 27
Refer the z -table
P(Z>x)=2.06
[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37[/tex]
So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
What is the slope of the line shown below? 1/6 -5/-7
Answer: C. 13/6
Step-by-step explanation:
The slope is always rise over run. So when going from the coordinate (-5,-7) to the coordinate (1,6) we go up 13 then go to the right 6. And since we went up and to the right it is a positive slope.
Can someone help me to do this cause i don’t know what to do
Answer:
ohh
Step-by-step explanation:
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answer:
im guessing 35mph
Step-by-step explanation:
Answer:
30 mph and 40 mph
Step-by-step explanation:
It is the same with the speed and water.
PLEASE HELP!
Equation: 4(x-6)-8=5(x-7)-x
Answer choices:
A. 0
B. All real numbers
C. No solution
D. Non of the above
I chose C but I wanted to get some confirmation. Thanks!
Answer:
0, it has no solution.
Step-by-step explanation:
When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.
Answer:
2
Step-by-step explanation:
this will help i think this will be the answer i am not sure
This coordinate grid shows where Alberto's school is located. Each unit represents one block. Alberto's house is at (3,4). The library is located at the reflection of (3,4) across the y-axis.
PART A
What are the coordinates of the library?Explain how you know.
PART B
not needed
PART C
Use absolute value to find the distances from Albertos house to the school and from Albertos house to the library.
Answer:
Part A) -3, 4 Part C) 12 i think
Step-by-step explanation:
Answer:
Part A-(3,4)
Part B- 2 units
Step-by-step explanation:
Part A- (x,y)--->(-x,y)
HURRY ON A TIMER PLEASE HELP
which shows all the like terms in the expression
Answer:
the second one -3and1 :4x and 7x
Step-by-step explanation:
Answer:
-3 and -1; 4x and 7x
Step-by-step explanation:
like terms are the numbers with the same variable
eg. 4x^2 and 6x aren't like terms, but 2x^4 and 3x^4 are
Business Loss A company loses $40 as a result of a shipping delay. The 2 owners of the company
must share the loss equally. Write an expression for the earnings per person. Evaluate the
expression.
Write an expression for the earnings per person. Choose the correct answer below.
+
OA. - 2+(-40)
OB. 2+(-40)
OC. 40+ (-2)
OD. - 40 + 2
Answer:
b
Step-by-step explanation:
In the number 789.466 the digit in the hundredths place is______ the value of the digit in the thousandths place?
Answer:
hundredths --> 6
thousandths value --> 0.006
Step-by-step explanation:
hundredths is the value two places to the right of the decimal point, which is currently 6.
The value of the digit in the thousandths place, which is 3 places to the right of the decimal place, is 6, but the value of the 6 is actually 0.006, because it is in the thousandths place, just like 700 would be the value of the digit in the hundreds place.
Solve: x^2=10
A) x= +5
B) x= +100
C) x= +3.5
D) x= 10 squared
Answer:
D) x=√10
Step-by-step explanation:
√(10)=3.16(approximately )
Pls help
8th grade math
Answer:
per night 50 cost
Step-by-step explanation:
sorry but i goo
What is the image point of (-8, 7) after a translation right 5 units and up 5 units?
Answer:
-11,11
Step-by-step explanation:
JUst add 5 to both.
