An arts academy requires there to be 5 teachers for every 95 students and 6 tutors for every 48 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 78 students?
(no link)
Answer:
10 tutors
Step-by-step explanation:
48/6 = 8 student/tutor
78/8 = 9.75 tutors
10 tutors
Which of the following is the correct equation for this function?
A. v=2x² + x - 2
B. v= 2x^2 - 4x
C. 1= (x+1)(x-2)
D. V+1=2(x - 3)^2
Answer:
B. y = 2x^2 - 4x
Step-by-step explanation:
The point (0, 0) lies on the graph, so the equation has no constant term (the constant is zero). Only one answer choice has this characteristic:
y = 2x^2 -4x
Order the angles from least to greatest?
Answer:
Angle N, Angle R, Angle Q
Step-by-step explanation:
When a number is divided by 8, the remainder is 6 and the same number is divided by 7 the remainder is 5 what is the number
Answer:
gọi x là số cần tìm, y là số sau khi chia. Ta có
y.8+6=x
y.7+5=x
=>x= -2 , y= -1
Step-by-step explanation:
An isolates right triangle has a hypotenuse of 6. Find the
length of the leg. Round to the nearest tenth.
Check the picture below.
[tex] {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2[/tex]
Answer:
Answer:The length of the leg is 4.2 units.
Hope you could get an idea from it.
Doubt clarification - use comment section.
What is the probability that a random sample of 100 accounting graduates will provide an average(X¯) that is within $902 of the population mean (µ)?
Using the normal distribution and the central limit theorem, it is found that there is a 0.6328 = 63.28% probability that a random sample of 100 accounting graduates will provide an average that is within $902 of the population mean.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]Hence, the probability of sample having mean within M of the population mean is the p-value of [tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex] subtracted by the p-value of [tex]Z = -\frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex].
In this problem, we suppose [tex]\sigma = 10000[/tex], and thus, with a sample of 100, we have that [tex]s = \frac{10000}{\sqrt{100}} = 1000[/tex].
Within $902, hence [tex]M = 902[/tex].[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \frac{902}{1000}[/tex]
[tex]Z = 0.902[/tex]
[tex]Z = 0.902[/tex] has a p-value of 0.8164.
[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = -\frac{902}{1000}[/tex]
[tex]Z = -0.902[/tex]
[tex]Z = -0.902[/tex] has a p-value of 0.1836.
0.8164 - 0.1836 = 0.6328.
0.6328 = 63.28% probability that a random sample of 100 accounting graduates will provide an average that is within $902 of the population mean.
A similar problem is given at https://brainly.com/question/24663213
8 x 2/5 in simplest form
Answer:
3 1/5
Step-by-step explanation:
8/1 = 8
8/1 * 2/5 = 16/5
16/5 = 3 1/5
Answer:
32/10, or 3 1/5
Step-by-step explanation:
One way of doing this problem is to multiply the numerators 8 and 2 together and then divide the result by 5:
8*2
-------- = 16/5
5
In turn, 16/5 can be rewritten as 32/10, or 3 1/5
An item on sale costs 80% of the original price. The original price was $73.
Answer:
$58.40
Step-by-step explanation:
Really simple stuff here once you know how percentages work.
10% of 73.00 is 7.30, which means that if we do:
7.30 * 2 that means we have 20%
So, 7.30 * 2 = 14.60
73.00 - 14.60 = $58.40
We can check this by doing
7.30 * 8 = $58.40
What is your rate of change if you travel 350 miles in 6 hours
Answer:
58.33 miles per hour
Step-by-step explanation:
[tex]\frac{350Miles}{6Hours} =58.33mph[/tex]
I hope this help you
Can someone please scallion or show me what I could do to get this answer?
Answer:
six hundred and five thousand
Step-by-step explanation:
A study of bone density on 5 random women at a hospital produced the following results. Age 45 49 53 57 73 Bone Density 355 340 325 320 315 Step 1 of 3 : Calculate the correlation coefficient, r. Round your answer to six decimal places.
Correlation is the measure of the degree to which any two variables vary together.
If one variable tends to increase as the other variable decreases , the correlation is said to negative or inverse.
From the correlation we assess the strength of the relationship of two variables.
A numerical measure of strength in the linear relationship between the two variables is called co efficient of simple correlation.
The co efficient of simple correlation r is a pure number and assumes values from+1 to -1 .
r= -0.837295
The sign of r indicates the direction of the relationship or correlation.
It can be determined by finding the COV (X,Y)/ √Var (X) Var(Y)
In the given question it is calculated by using the excel sheet.
The correlation tab is found in the statistical column of the formula tab.
After entering the data in the excel the correlation tab is clicked and the rows cells are entered and the answer is obtained.
Another way is use the data analysis tab and click the correlation tab.
For both ways the following result is obtained .
r= -0.83729481
rounded to 6 places gives
r= -0.837295
https://brainly.com/question/18054482
https://brainly.com/question/24169114
Find the equation of the line with slope = 6 and passing through (-9,-58). Write your equation in the form y = mx+ b
Answer:
y=6x-4
Step-by-step explanation:
What we know
the slope is 6our point is (-9,-58)-9 is x and -58 is y so we have to find the y-intercept y=mx+b is also the formula for this
-58=6(-9)+b
-58=-54+b
-58=54+b - we changed -54 to a positive 54
54-58=-4
y=6x-4
b. Convert kilograms to grams.
18.2 kilograms = __*(
X
x-
X
grams
Answer:
18.2 kilograms =
18,200 grams
0.5x-1.3(3x-4.5)+2.2
Answer:
-3.4x+8.05
Step-by-step explanation:
Given the diagram angles 1 and 5 are an example of what?
Answer:
corresponding angles
Step-by-step explanation:
What is the equation of the line in slope intercept form? Help 30 points!
Answer:
y = 2/3x - 7
Step-by-step explanation:
(3, -5) (-3, -9)
and y = -7 when x = 0 from graph
so c = -7
m = -9 - (-5) / -3 - 3
= -4 / -6
= 2/3
line equation is y = mx + c
y = 2/3 x + (-7)
y = 2/3x - 7
[tex]\\ \sf\longmapsto m=\dfrac{-9+5}{-3-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4}{6}[/tex]
[tex]\\ \sf\longmapsto m=2/3[/tex]
b=-7Now
Equation of line
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{2}{3}x-7[/tex]
4.
Which of the following describes the parabola with the equation y = −x2 − 3x + 6?
A. The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
B. The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).
C. The axis of symmetry is x = −1 and the vertex is (−1, −3).
D. The axis of symmetry is x = 0 and the vertex is (0, 6).
Answer:
B. The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).
Step-by-step explanation:
I will solve the problem by applying the perfect square trinomial. In this way we obtain the canonical form. Another way would be to derive the function, but I don't know if you're familiar with it.
First: let us take out the common factor: , since we remember that the canonical form is characterized as follows:
Then, it remains:
Then: the coefficient of the variable We divided it between , And we square it (they will be one positive and one negative). In our case:
Let's accommodate terms to make it easier:
Can be written as :
Now, what is underlined is our perfect square trinomial, let us recall its form:
Applying the same principle we are left:
Applying distributive property we get:
Therefore it will have its vertex in:
The axis of symmetry is a straight line that makes the function to be projected being , for this you need some reference point, for the parabola you need the coordinate in of the vertex.
For which the axis of symmetry is .
-1.5
...............................................................................................................................................
Answer:
b
Step-by-step explanation:
Which list of ordered pairs represents a function?
A.(0,4), (1, 2), (1,3), (2, 4)
B.(0,4), (0, 2), (1,3), (2, 4)
C.(1,4), (2, 2), (4,3), (3, 4)
D.(2, 2), (0, 2), (1,3), (2, 4)
bearing in mind that a function never has X-repeats, or namely the 1st value of each coordinate is never repeated, let's check these ones, who has an X-repeat and doesn't, Check the picture below.
Write an Integer for the situation,
300 feet below sea level
A -300
B 600
C -600
D 300
Answer: A. -300
Step-by-step explanation: I hope this helps!
A bank teller has 54 dollar bills totaling $780 in her cash drawer. Her drawer has 5 and 20 dollar bills. How many 5 dollar bills are there?
Answer:
156 5 dollar bills
Step-by-step explanation:
How does the equation of a quadratic function in vertex form highlight key features of the function’s graph?
9514 1404 393
Explanation:
Vertex form of a quadratic can be written as ...
a(x -h)² +k = 0 . . . . . . vertex (h, k); scale factor 'a'
First of all, it highlights the vertex (x, y) = (h, k), which is the extreme maximum or minimum of the function. That also tells you the axis of symmetry, (x = h).
Vertex form also shows you the vertical scale factor. The sign of that tells you whether the graph opens upward (positive) or downward (negative). The numerical value of it tells you the vertical distance from the vertex to points ±1 unit either side of the vertex.
The roots of the quadratic will be ...
x = h ±√(-k/a)
These will be complex if the graph does not intersect the x-axis.
Answer:
From the vertex form ()=(−)+ , you can find the vertex (,) and see whether the parabola opens upward (if > ) or downward (if < ). From a graph, you can read the coordinates of the vertex and substitute into the vertex form. With the coordinates of one other point, you can solve the equation to find a and write the equation of the quadratic function in vertex form.
Which statement about the two triangles is this correct
Answer:
option 1 is correct .. triangle ABC is congruent to DEF..
(Will give BRAINLIEST ANSWER If you got it correct)
Perform the following binary multiplication.
1111X111
Answer:
123321?
Step-by-step explanation:
PLSS HELP ILL GIVE POINTS!!!!
The fee for a cleaning service is described in the table below.
Write an equation to represent the data in the table.
Answer:
y=16x+36
Step-by-step explanation:
cleaning services start at $36 for one hour and add $16 to total price per hour.
16(1)+36=52
16(2)+36=68
16(3)+36=84
16(4)+36=100
−6×(−1)=?minus, 6, times, left parenthesis, minus, 1, right parenthesis, equals, question mark
Answer:
6
Step-by-step explanation:
When you multiply two negative numbers, the result becomes posititve
In a large resturanat an average of 2 out of every 5 customers ask for chilies with their meals. A random sample of 15 customers is selected. Find the probability that i. Exactly 7 customers ask for chilies with their meal ii. Less than 3 customers ask for chilies with their meals.
Answer: plz mark me as a brainliest
Step-by-step explanation:
plz mark me as a brainiiest
RS = 2x + 10
ST = x - 4
RT = 21
Answer:
x = 5
Step-by-step explanation:
RS +ST = RT
2x + 10 + x - 4 = 21
2x + x + 10 - 4 = 21 {Combine like terms}
3x + 6 = 21
Subtract 6 from both sides
3x = 21 - 6
3x = 15
Divide both sides by 3
x = 15/3
x = 5
HELP ASAP PLEASE! Who can please help me write a short reading summary for my english class? I will explain all details after. Thank you in advance :)
Answer:
me what is there to write about
Step-by-step explanation:
3. Which expression is equivalent to
5x – 30?
Answer:
5x-30=5(x-6)
Step-by-step explanation:
Identify the slope (m) y-intercept (b) of the table below. Then, construct the linear equation for the table below in the form f(x)=mx+bf(x)=mx+b
Answer:
m= -1
y intercept= 1
y= - x + 1
Step-by-step explanation:
