Answer: 58
Step-by-step explanation:
Problem 3
The bill at dinner was $58.24 before tax and tip.
There is a 6% sales tax. After the tax, an 18% tip is
added.
What is the total including tax and tip?
Answer:
$62.bope this helpsjensbdnd
If Mr.Novak gives 9 packs of paper to a group of 5 students. If the group shares the paper equally. How many packs of paper does each student get? Write the answer as a mixed number.
Each student gets 1 whole pack of paper and 4/5 of a pack.
What is a division in mathematics?
Division is a mathematical operation that is used to determine the number of times one number, called the dividend, is contained within another number, called the divisor. The result of a division operation is called the quotient.
When a group of students share a certain number of items equally, it means that each student will receive the same number of items. To find out how many items each student will receive, we need to divide the total number of items by the number of students.
In this case, Mr. Novak gives 9 packs of paper to a group of 5 students. To find out how many packs of paper each student gets, we need to divide 9 by 5. We can use long division or use a calculator to find that 9 divided by 5 is 1 with a remainder of 4. So, each student will get 1 whole pack of paper, and the remaining 4 packs will be shared among the students. This can be written as a mixed number, which is a combination of a whole number and a fraction. In this case, the mixed number would be 1 4/5.
Hence, each student gets 1 whole pack of paper and 4/5 of a pack.
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please help, I don't understand this
After substitution in the first equation :
7x + x +21 = -19
= 8x + 21 = -19
by subtracting 21 :
8x = -19 - 21
8x = -40
by dividing over 8 :
x = -5
after substitution in the second equation :
2y = -5 + 21
2y = 16
by dividing over 2 :
y = 8
pls give me brainliest
White as an algebraic expression: the sum of 3 and the product of p and 7
Answer:
The answer is 3 + p × 7.....
.
HIGHER ORDER THINKING A cell phone plan is shown on the right. The rates, which include an unlimited data plan, are the same each month for 7 months. The total cost for all 7 months is $180.39. Let m represent the average number of minutes that exceeds 700 minutes each month. A. Write an equation to represent the given situation. B. Solve the equation to determine how many additional minutes, on average, you use each month.
Answer: (a). M=7x180+39+700. (B) $731
Step-by-step explanation:
Equation to represent the given situation is 7(19.70 + 1.97 + m X 0.05) = 180.39; additional minutes, on average, you use each month is 82
What is Linear Equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that;
Total cost for 7 month =$180.39
Let m be the average number of minutes that exceeds 700 minutes every month
Equation formed;
7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 7(19.70 + 1.97 + m X 0.05) = 180.39,
or, 21.67 + 0.05m = 180.39/ 7,
or, 0.05m = 25.77 – 21.67,
0.05m = 4.1
m= 82
Therefore, equation for (a) : 7(19.70 + 1.97 + m X 0.05) = 180.39 and 82 will be the answer of (b)
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A large school district held a district-wide track meet for all high school students. For the 2-mile run, the population of female students participating follows a Normal distribution and had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes. The population of male students participating also follows a Normal distribution and had a mean running time of 7.3 minutes with standard deviation 2.9 minutes. Suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population. Let xF represent the sample mean running time for the female students, and let xM represent the sample mean running time for the male students. a. Find and interpret the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM. b. Find the probability of getting a difference in sample means xF − xM that is less than 0.
Answer:
If the question has
What are the mean and standard deviation of the sampling distribution of the difference in sample means x¯F−x¯M ?
It is E
Step-by-step explanation:
AP classroom uses the example with different end questions.
The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
What is the distribution of random variable which is sum of normal distributions?Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:
[tex]X_i = N(\mu_i , \sigma^2_i) ; \: i = 1,2, \cdots, n[/tex]
And if
[tex]X = X_1 + X_2 + \cdots + X_n[/tex]
Then, its distribution is given as:
[tex]X \sim N(\mu_1 + \mu_2 + \cdots + \mu_n, \: \: \sigma^2_1 + \sigma^2_2 + \cdots + \sigma^2_n)[/tex]
For this case, it is given that:
Distribution of time taken for distance ran by female is Normal distribution and had a mean running time of [tex]\mu_F[/tex] = 8.8 minutes with standard deviation of [tex]\sigma_F[/tex] = 3.3 minutes.Distribution of time taken for distance ran by male is Normal distribution and had a mean running time of [tex]\mu_M[/tex] = 7.3 minutes with standard deviation of [tex]\sigma_M[/tex] = 2.9 minutes.Samples of size n = 8 are taken from both population.Estimated sample mean = population mean
Estimated sample standard deviation = population std. dev / √n
where n = sample size
Thus, we get:
[tex]\overline{x}_F = \mu_F = 8.8 \: \rm minutes[/tex][tex]s_F = \sigma_F/\sqrt{8} = 3.3/\sqrt{8} \approx 1.167 \: \rm minutes[/tex][tex]\overline{x}_M = \mu_M = 7.3 \: \rm minutes[/tex][tex]s_M = \sigma_M/\sqrt{8} = 2.9/\sqrt{8} \approx 1.053\: \rm minutes[/tex]For sample of females, the distribution is [tex]X_F \sim N(\overline{x}_F = 8.8, s_F = 3.3/\sqrt{8})[/tex]
For sample of males, the distribution is [tex]X_M \sim N(\overline{x}_M =7.3, s_M = 2.9/\sqrt{8})[/tex]
Also, if we take distribution of difference between sample means([tex]X_F - X_M = X_F + (-X_M)[/tex], then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for [tex]-X_F[/tex] will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)
and standard deviation is: [tex]s = \sqrt{s_F^2 + s_M^2} = \sqrt{3.3^2/8 + 2.9^2/8} \approx 1.553 \: \rm minutes[/tex]
The distribution of difference between sample means is [tex]X_F - X_M \sim N(\overline{x} = 1.5, s = 1.533)[/tex] approximately
We need [tex]P(X_F - X_M < 0)[/tex]
Converting this distribution to standard normal distribution, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98)[/tex]
From the z-tables, we get the p value for Z = -1.98 as 0.0239
Thus, we get:
[tex]P(X_F - X_M < 0) = P(Z < \dfrac{0 - \overline{x}}{s} \approx -1.98) \approx 0.0239[/tex]
Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.
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Please Hellppp!!!! PLZ ASAP!! Need help!!! Answer this question.
Answer:
n,n
I think
Step-by-step explanation:
Answer:
n,n
Step-by-step explanation:
8 cm
4 cm
18 cm
16 cm
please hurry
Answer:
288
Step-by-step explanation:
Expand and Simplify
2(x-4)+5(x+3)
expand by distributing
2x-8+5x+15
combine like terms to simplify
7x+7
Find the perimeter of AABC with vertices A(1.-6).B(1.-3), and c(-4,-6).
Answer:
B
Step-by-step explanation:
Evaluate the expression for p = 5.
3p − 12 =
Answer:
is 3
Step-by-step explanation:
(example every time they give n=6 or q=10... you always have to multiply)
if p=5
3 x 5 - 12 = 3
and here how you solve
(3)(5)−12
=15−12
=3
9x+6-4x-2x+1-15 simplify plz
Answer:
3x-8
Step-by-step explanation:
simplify (4u)^2
write your answer without parenthesis
How can you graph a linear function?
Answer:Choose a minimum of two input values.
Evaluate the function at each input value.
Use the resulting output values to identify coordinate pairs.
Plot the coordinate pairs on a grid.
Draw a line through the points.
Step-by-step explanation:
first to get it right gets brainliest
What kind of room has no doors or windows
I need help, I need to find the value of a
Answer:
4
Step-by-step explanation:
The second one ^
What is the y-intercept for the quadratic
Y=4x^2 + 5x - 7?
Answer: (0,-7)
HOPE I HELPED
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
Since you are trying to solve for y, you set all the x values to 0.
(Y intercept occurs when x = 0, thats why you sub 0 for all x)
y= -4(0)^2[tex]y=-4(0)^{2} +5(0) -7[/tex]
this simplifies to
y=-7
PLS I REALLY NEED HELP IM USING ALL MY POINTS ON THIS AND RED TILES ARE NEGATIVE BTW!
Answer:
59874
Step-by-step explanation:
Given the graphs of y = 4x - 2 and y = 2x – 6, which THREE statements are true?
A)
The system has one solution.
B)
The system has infinitely many solutions
Any point on either Line is a solution.
D)
The point of intersection is the solution.
E)
The point (-2.-10) is the only solution
The true statements about the graph are as follows;
The system has one solution.The point of intersection is the solution.The point (-2.-10) is the only solution.Given
The graphs of y = 4x - 2 and y = 2x – 6.
System of equations;A system of equations, also known as a set of simultaneous or an equation systems, is a finite set of equations for which we sought the common solutions.
To solve the graphs subtract equation 1 from equation 2.
[tex]\rm y-y=4x-2-2x+6\\\\0=2x+44\\\\2x=-4\\\\x=\dfrac{-4}{2}\\\\x=-2[/tex]
Substitute the value of x in equation 1
[tex]\rm y=4x-2\\\\y=4(-2)-2\\\\y=-8-2\\\\y=-10[/tex]
The point (-2.-10) is the only solution.
The true statements about the graph are as follows;
The system has one solution.The point of intersection is the solution.The point (-2.-10) is the only solution.To know more about the system of equations click the link given below.
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Solve y = f (x) for x. Then find the input when the output is -3.
f(x) = 3x+5
Answer:
f(-3)= -4
Step-by-step explanation:
Given function in the question is,
f(x) = 3x + 5
Here, values of 'x' are the input values of the function.
And the values of the function f(x) by substituting the values of 'x' are the output values.
If the output value of the function 'f' is -3,
-3 = 3x + 5
3x = -3 - 5
x = [tex]-\frac{8}{3}[/tex]
Therefore, for the input value x = [tex]-\frac{8}{3}[/tex], output value of the function will be f(x) = -3.
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HELP I NEED HELP ASAP
The length of a rectangle is 5 more than twice the width. The perimeter is 76. What is the length?
pleas ehelp me with math aa
Answer:
D.
Step-by-step explanation:
If the triangle has one angle that is equal to 90 then it is a right triangle.
A person invests 5000 dollars in a bank. The bank pays 5.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10200 dollars?
Answer:13.8
Step-by-step explanation:
WILL MARK BRAINIEST!
Rob is making for his young son a replica armchair of one he uses. The ratio of the length of the arm of the old chair to that of the new chair is 3:2. The arm of the old chair is 9 inches long. How many inches long will the arm of the new chair be?
Answer:
As the ratio of the length of the arm of the old chair to the length of the arm of the new chair is 3/2, and the length of the old chair is 9 inches, hence the length of the arm of the new chair is 6 inches.
how do i solve 3yi(6- 7yi )
Answer:
18yi+ 21y^2
Step-by-step explanation:
answer 18 yi+21y2
step by step
What is 3/8 written as a decimal?
Answer:
0.375
Step-by-step explanation:
3/8 = 0.375
Answer:
0.375
Step-by-step explanation:
Find the value of the greater root x2-6x+5=0
Answer:
Answer Expert Verified To factor a quadratic of the form ax^2+bx+c, two values, j and k, must satisfy two conditions... The greater of which is 5.
what is 45 less than six times x
Answer:
6x - 45
Step-by-step explanation:
ASAP PLS HELP MARKING BRAINLIEST
Answer: E
Step-by-step explanation:
To cancel out the Y you need to have both multiplied by each other
so the first equation get multiplied by 7 and the second one by 4
28y + -28y = 0 they cancel out
HELP MEEE
ill give brainliest whatever
Answer:
for diamond A: -3.6 on top, -3 on left
for diamond B: -2 on left, 6 on right
for diamond C: 24 on top, -3 on right
Step-by-step explanation:
Answer:
Sorry but you aren't posting your answer again
Step-by-step explanation: