find the value of (x-6)/3 if x =21
Greetings.
The answer is 5.
Explanation:
[tex]\frac{x-6}{3}[/tex]
We want to know the value when x = 21. Therefore, substitute x = 21 in the expression.
[tex]\frac{21-6}{3}[/tex]
Evaluate 21-6 = 15
[tex]\frac{15}{3}[/tex]
Therefore, the answer is 5.
A survey of 1000 Californians finds reports that 48% are excited by the opportunity to take a statistics class.
The margin of error in this report is 5%. Which answer choice best describes a reasonable range of values for the percent of
students who are excited to take a statistics class?
Answer:
(0.449, 0.511) is the range for the percent of students who are excited to take a statistics class
Step-by-step explanation:
First of all, let's check that the sample size is large enough to use normal approximation.
Conditions are;
np > 10
n(1-p) > 10
Now, we have;
n = 1000
p = 48% = 0.48
Thus;
np = 1000 × 0.48 = 480 > 10
Also;
n(1 - p) = 1000 × (1 - 0.48) = 520 > 10. This means the conditions for normal approximation have been fulfilled. Hence we can use the confidence interval formula to get the range of values which is;
CI = p ± z√(pq/n)
We are given a margin of error and thus the confidence interval is at 95%.
Critical value of z at 95% CI is 1.96
Thus;
CI = 0.48 ± 1.96√(0.48 × 0.52/1000)
CI = 0.48 ± 0.031
CI = (0.449, 0.511) is the range for the percent of students who are excited to take a statistics class
Find the slope of the line that passes through (4, 1) and (6, 2).
For your birthday, you want to take a group of friends to an indoor trampoline
center. There are two trampoline parks available on your date. You only have
$250 to spend on your party.
Pricing Information:
Sky High: $50 for a party set up fee and $5 per person after that. Write an inequality model for both trampoline parks.
Jump it Up: $70 for a party set up fee and $2 per person.
In jump it up you can bring 90 friends.
In Sky high, you can bring 40 friends.
Answer:
Skyhigh : 40 friends
Jump it up : 90 friends
Step-by-step explanation:
Given that :
Total amount available to spend = $250
JUMP IT UP:
Party set up fee = $70
Amount paid per person = $2
Number of friends = 90
SKY HIGH:
Party set up fee = $50
Amount paid per person = $5
Number of friends = 40
INEQUALITY :
Party setup fee + amount per person * Number of persons ≤ available amount to spend
SKY HIGH:
50 + 5x ≤ 250
5x ≤ 250 - 50
5x ≤ 200
x ≤ 200/5
x ≤ 40
Hence,
Skyhigh = 90 friends
JUMP IT UP:
70 + 2x ≤ 250
2x ≤ 250 - 70
2x ≤ 180
x ≤ 180/2
x ≤ 90
Jump it up = 90
Sam is 12. In four years, his age will be 2/3 the age of his cousin Lupe. How old will Lupe be in two years?
Answer:
8
Step-by-step explanation:
You can solve the following proportion by cross multiplying. What will the equation be after you cross multiply?
3 x= 9 • 15
3 x = 15
3 • 15 = 9 X
15 = 9 X
=====================================
Explanation:
Anything in the form A/B = C/D will cross multiply to A*D = B*C
In this case, A = 3, B = 9, C = x and D = 15
So that's why 3/9 = x/15 cross multiplies to 3*15 = 9*x
Check out the diagram below for more information.
P(x) = x4 – 7x3 + 14x2
+ 14x2 – 3x – 9
Find all real zeros
Step-by-step explanation:
x4-7x3+14x2-3x-9
This deals with polynomial long division.
Overview
Steps
Topics
Links
1 result(s) found
(x
2
−x−1)⋅(x−3)
2
See steps
Step by Step Solution:
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 2 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
((((x4)-(7•(x3)))+(2•7x2))-3x)-9
STEP
2
:
Equation at the end of step
2
:
((((x4) - 7x3) + (2•7x2)) - 3x) - 9
STEP
3
:
Polynomial Roots Calculator :
3.1 Find roots (zeroes) of : F(x) = x4-7x3+14x2-3x-9
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -9.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,3 ,9
Let us test ....
95 points need help match these to each other please
Answer:
1. Least common multiple
2. Least common denominator
3. multiple
4. solve
5. solution
Step-by-step explanation:
Answer: 1: connects with box number one
2: connects with box number five
3: connects with box number two- i think
4: connects with box number three
5: connects with box number four
♡ Glued
on what interval is the function h(f)=|x+2|-2 increasing ?
Answer:
The increasing interval is [tex]S=(-2,\infty)[/tex]
Step-by-step explanation:
This absolute function has a vertex in x=-2. Now, from this point, the function has a positive slope (increasing), which means for values of x equals to -1,0,1,2,3,...,n.
Therefore the interval will
[tex]S=(-2,\infty)[/tex]
I hope it helps you!
HELP this question is real hard
Answer:
lol
Step-by-step explanation:
lol
help! 21 is 70% of what?
Answer:
21 is 70% of 30
Who tryna pull up w me
Answer:
me
Step-by-step explanation:
Yo, wot?
Step-by-step explanation:
Zoom it in if u can’t see
But what is the slope
Answer:
5/-2
Step-by-step explanation:
the slope formula is rise over run. the rise is 5 and the run is -2. in decimal form the answer is -2.5
find the midpoint between the 2 numbers in the picture.
Answer:
23.75
Step-by-step explanation:
Which of the following equations is equivalent
Answer:
3x+4=10
Step-by-step explanation:
Chapter 5 • Measures of Central Tendency | 171
Calculate the median annual income of a group of employees from
the data given below:
5.
Annual income in Rs.
Under 2000
No. of Employees
15
2000 - 2999
32
3000 - 3999
65
4000 - 4999
79
5000 - 5999
90
6000 - 6999
57
7000 - 7999
36
8000 - 8999
14
nd the median wage of a labour from the following table
Answer: Rs. 5,033.30
Step-by-step explanation:
Total employees = 15 + 32 + 65 + 79 + 90 + 57 + 36 + 14 = 388
Median position = 388/2 = 194
Median therefore lies in range where cumulative employees is 194:
= 15 + 32 + 65 + 79 = 191
Median therefore lies in range after 4,000 - 4,999 which is 5,000 - 5,999.
Median = Lower limit of median range + range of median range * (median position - cumulative frequency up to median range) / frequency of median range
= 5,000 + 999 * (388/2 - 191)/90
= 5,000 + 33.3
= Rs. 5,033.30
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x? On a coordinate plane, a circle is centered around (0, 0). The graph is not a function of x because the line x = 0 intersects the graph at two points. The graph is a function of x because the line x = 5 does not intersect the graph. The graph is not a function of x because the line y = 0 intersects the graph at two points. The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:jdbfqy
Step-by-step explanation:
dcjbdyfjbsdjbrbvuhruetiibf irvi
Ms smartypants. Has 246 crayons for her art class of 22 students how many crayons will each student get if the crayons are divided equally
Answer:
11
Step-by-step explanation:
246 divide by 22
Question 9
Determine the domain of the following relation.
input 3 5 6 8
Output 1 3 6
A
{3, 6}
B
{1, 3, 6}
C
{3, 5, 6, 8}
D
{1, 3, 5, 6, 8}
Answer:
C. { 3, 5, 6, 8 }
Step-by-step explanation:
The domain is the set of all possible inputs in a function.
The domain of the given function is;
C. { 3, 5, 6, 8 }
whats the answer (5x+4y)(x-y)
Answer:
5x²-xy-4y²
Step-by-step explanation:
Find the sum of the interior angle measures of the polygon
How many groups of 3/4 are in 11/4
Answer:
3 2/3
Step-by-step explanation:
3 + 3 = 6
6 + 3 = 9
9 + 2 = 11
Is this a function
Yes or no
Answer:
yes.
Step-by-step explanation:
by performing the vertical line test, you can see that the line only goes through one point, so it is a function.
Answer:
yes
Step-by-step explanation:
it passes the vertical line test (you could draw a vertical line anywhere on the graph, and it wouldn't pass through the graph more than once.
If 2 pounds of candy cost $5, at that rate how much will 15 pounds cost
Answer:
37.5
Step-by-step explanation:
14/2=7.5 . Use 7x5=35. 5x0.5=2.5
Answer: $37.50 because you first divide 5 by 2, then you multiply by 15, then you get 37.5
A restaurant bill is $78 for 8 people. If the bill is divided evenly, how much must each
person pay? Use long division and show your work.
Answer:
$9.75
Step-by-step explanation:
I divided $78 by 8 people and that is how I got this answer.
PLEASE PLEASE HURRY ITS AN EMERGENCY!!
Answer:
1 is 'given'
3 is 'vertical angle theorem'
dont know the other two sorry
Step-by-step explanation:
Solve the equation.
4+ 14 = – 2(7x-9)
Answer:
-63
Step-by-step explanation:
uri plots point S at (Negative 1, 2.5). Which graph shows the location of point S?
On a coordinate plane, point S is 1 unit to the right and 2.5 units up.
On a coordinate plane, point S is 2.5 units to the right and 1 unit down.
On a coordinate plane, point S is 1 unit to the right and 2.5 units down.
On a coordinate plane, point S is 1 unit to the left and 2.5 units up.
Answer:
its A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test!
Hope this helps plz give brainliest :D
Refer to the figure.
If m∠BDC=(8x+12)° and m∠FDB=(12x−32)°, find m∠FDE.
Answer:
x=11
Step-by-step explanation:
And you didnt give the equation for FDE but substitute 11 in for X
PLS HELP ME PLS I WILL GIVE BRAINLIEST PLS ANSWER CORRECTLY PLS
Here’s the table
X Y
0 -2
2 0
3 1
4 2
