Answer:
50 adult tickets were sold that day.
Step-by-step explanation:
Child ticket is $5.30Adult ticket is $9.20Total amount of ticket sold is 121, for $836.30We will use "c" to represent child ticket and "a" to represent adult ticket
Using these info, we can make a system of equations:
[tex]\left \{ {{9.2a + 5.3c = 836.3} \atop {a + c = 121}} \right.[/tex]
Solve the system of equations using substitution.
a + c = 121
c = 121 - a
9.2a + 5.3 (121 -a) = 836.3
9.2a + 641.3 - 5.3a = 836.3
3.9a = 195
a = 50
50 adult tickets were sold that day.
what expression does not represent " the sum of n and 6
6 + n
6n
n +6
Answer:
6n
Step-by-step explanation:
6n = 6*n not 6+n
Leave a like and mark brainliest if this helped!
help please asap today is the deadline
(9/89)x490+324
Please help
Answer:
(9/89)×490+324=9/89×490=4410/89+324=?Answer:
decimal form is 373.55056
Step-by-step explanation:
multiply (9\89) x 490 in a calculator
you should get (4410\89) then add 324
you'll get another fraction (33246\89)
put that in a calculator and use the double arrow button (if you have it)
it looks like this in a way ( <||>)
I hope this help unless its too late.
If i'm too late i'm sorry I was in class when my computer died
16^x-1 ÷ 2^4x.32 simplify
Answer:
16x - 1/50x
Step-by-step explanation:
Star Time:7:30 A.M Elapsed Time:2 hours, 20 minutes End Time is
Answer:
9:50 A.M.!
Step-by-step explanation:
7 HRS +2 HRS = 9 HRS
30 MINS + 20 MINS = 50 MINS
solve the system by substitution.....
Answer: y=-20,:x=-2
PLEASE MARK BRAINLIEST
Answer:
x=-2
y=-20
Step-by-step explanation:
y=10x
y=2x-16
10x=2x-16
-2x -2x
8x=-16
/8 /8
x=-2
y=10x
y=10(-2)
y=-20
a straight line passing through A(3,2) and B(5,y) has gradient -2. find the value of y
Step-by-step explanation:
[tex]gradient \: = \: \frac{y2 - y1}{x2 - x1} [/tex]
y2 = y , x2 = 5
y1 = 2 , x1 = 3
[tex] - 2 \: = \: \frac{y - 2}{5 - 3} [/tex]
-4 = y-2 ==> y = -2
Answer:
y=-2
Step-by-step explanation:
For a line containing the points (X1,Y1) and (X2,Y2), the gradient/slope is equal to (Y2-Y1)/(X2-X1).
Therefore for a line with gradient -2 and points (3,2) and (5,y), we can say:
-2=(y-2)/(5-3)
-2(2)=y-2
y=-4+2
y=-2
Which of the following numbers is equivalent to
√48?
Answer: you forgot attachment
Step-by-step explanation:
Twice a number a is less than 3 write the sentence as an inequality pls help
writing sentence as an inequality
how to write
a.) " A number n is less than or equal to -7 or greater than 12" as an inequality
b.) " A number p is less than 6 and greater than 2
Are the two triangles similar? If so, state the reason and the similarity statement.
Question 12 options:
A)
Yes; SAS; ΔIGF ∼ ΔMNL
B)
The triangles are not similar.
C)
Impossible to determine.
D)
Yes; AA; ΔIGF ∼ ΔMNL
Answer:
The triangles are not similar.
Step-by-step explanation:
Given
[tex]\triangle IGF[/tex] and [tex]\triangle MNL[/tex]
See attachment for triangles
Required
Determine if both triangles are similar or not
From the attached triangles, the corresponding sides are:
IG & MN and GF & NL
Where
[tex]IG = 12[/tex] [tex]MN = 14[/tex]
[tex]GF = 16[/tex] [tex]NL = 18[/tex]
For both triangles to be similar, the following equivalent ratios must be equal.
[tex]\frac{IG}{MN} = \frac{GF}{NL}[/tex]
[tex]\frac{12}{14} = \frac{16}{18}[/tex]
[tex]\frac{6}{7} \ne \frac{8}{9}[/tex] -- since both ratios are not equal, then the triangles are not similar
(b) I can share the cubes in bag B
equally between 4 people.
How many cubes could be in bag B?
There are two answers. Write them both.
bag B
more than 20
fewer than
30
9514 1404 393
Answer:
24, 28
Step-by-step explanation:
Multiples of 4 between 20 and 30 are ...
24 = 6·4
28 = 7·4
There could be 24 or 28 cubes in bag B.
Express f(x) in the form f(x) = (x - k)q(x)+r for the given value of k.
f(x)= x^3+ 4x² + 5x + 2, k= -2
Given:
[tex]f(x)=x^3+4x^2+5x+2,k=-2[/tex]
To find:
The the given function in the form [tex]f(x)=(x-k)q(x)+r[/tex].
Solution:
We have,
[tex]f(x)=x^3+4x^2+5x+2[/tex]
The coefficients of f(x) are 1, 4, 5, 2.
Divide the given function by (x+2) by using synthetic division as shown below:
-2 | 1 4 5 2
-2 -4 -2
_____________________
1 2 1 0
_____________________
Bottom row represent the quotient and last element of the bottom row is the remainder.
Degree of the function is 3 and the degree of division is 1. So, the degree of the quotient is 3-1 = 2.
So, the quotient is [tex]x^2+2x+1[/tex] and the remainder is 0.
Now,
[tex]f(x)=(x-k)q(x)+r[/tex]
Here, q(x) is the quotient and r is the remainder.
[tex]f(x)=(x-k)(x^2+2x+1)+0[/tex]
Therefore, the required answer is [tex]f(x)=(x-k)(x^2+2x+1)+0[/tex].
Know how to calculate point est., confidence interval, max tolerable error. Know the effect when you change the confidence level and the sample size. A high school surveyed their graduates on their starting salaries. 300 were returned. The average starting salary of the surveys returned was $32,000 with a standard deviation of $5,000.
1. What is the point estimate for the starting salary of the graduates?
2. What is the 95% confidence interval for the average salary of all graduates?
3. What is the value of the Maximum Tolerable Error for the above confidence interval?
4. If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?
5. If the number of graduates returning the survey changes from 300 to 700, all other variables remaining unchanged, what will be effected?
Answer:
1)The sample mean is the point estimate for the starting salary of the graduates which is $32,000
2) at 95%, confidence interval for the average salary of all graduates is ( 31525.13, 32474.87 )
3) Margin of Error E = 474.87
4) at 99%, confidence interval is ( 31328.54, 32671.46 ).
5) the probability of error will be affected
Step-by-step explanation:
Given the data in the question;
1) the point estimate for the starting salary of the graduates?
The sample mean is the point estimate for the starting salary of the graduates which is $32,000
2) the 95% confidence interval for the average salary of all graduates?
given that;
mean x' = $32,000
standard deviation σ = $5000
sample size n = 300
∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05/2 = 0.025
Z Critical value [tex]Z_{\alpha /2[/tex] = 1.6449 ≈ 1.645
so, 95% confidence interval for the average salary of all graduates will be;
⇒ x' ± Margin of Error
Margin of E = [tex]Z_{\alpha /2[/tex] ( σ/√n )
we substitute
E = 1.645( 5000/√300 )
E = 1.645( 288.675 )
E = 474.87
so
x' ± Margin of Error
32000 ± 474.87
⇒ 32,000 - 474.87, 32,000 + 474.87
⇒ ( 31525.13, 32474.87 )
Therefore, 95% confidence interval for the average salary of all graduates is ( 31525.13, 32474.87 )
3) the value of the Maximum Tolerable Error for the above confidence interval?
This is simply the Margin of Error,
Margin of Error E = 474.87
4)
If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?
at 99% confidence level;
∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.005
[tex]Z_{\alpha /2[/tex] = 2.326
∴ confidence interval will be;
⇒ 32000 ± [tex]Z_{\alpha /2[/tex] ( σ/√n )
we substitute
⇒ 32000 ± 2.326( 5000/√300 )
⇒ 32000 ± 2.326( 288.675 )
⇒ 32000 ± 671.458
⇒ 32000 - 671.458, 32000 + 671.458
⇒ ( 31328.54, 32671.46 )
Therefore, at 99%, confidence interval is ( 31328.54, 32671.46 ).
5) If the number of graduates returning the survey changes from 300 to 700 and all other variables remaining unchanged, the probability of error will be affected
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
Find the volume of the composite figure.
Of the following fractions: 9/19, 5/11, 7/15, and 11/23, which is the largest?
Answer: 11/23
Step-by-step explanation:
I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.
The largest fraction will be 11/23.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
All the fractions are,
⇒ 9/19, 5/11, 7/15, and 11/23
Now,
Since, All the fractions are,
⇒ 9/19, 5/11, 7/15, and 11/23
Here, The values are,
⇒ 9 /19 = 0.47
⇒ 5/11 = 0.45
⇒ 7/15 = 0.46
⇒ 11/23 = 0.48
Thus, The largest value of the fraction = 11/23
Learn more about the fraction visit:
https://brainly.com/question/5454147
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Let f(x) = square root 7x and g(x)= x-5. whats the smallest number that is in the domain of f ° g ?
check the photos they have the answer
An angle measures 31.6° more than the measure of its complementary angle. What is the measure of each angle? (need two answers pls see pic)ASAP!!!!!!!!
Answer:
29.2 and 60.8
Step-by-step explanation:
x° + x° + 31.6° = 90°
2x + 31.6 = 90
2x = 58.4
x° = 29.2°
90° - 29.2° = 60.8°
29.2 and 60.8
-2,4,-8,16... find the 20th term.
Answer:
I think the answer of this question is,
Step-by-step explanation:
The 20th term may be 1048576
The water ski club plans to build a new ramp for their ski shows in the shape of a triangular prism shown below
Answer:
24.8!
Step-by-step explanation:
[Probability / Statistics) Twenty families were surveyed. How many have boys only?
Answer:
5
Step-by-step explanation:
We start by seeing how many families we have in total, which is 20. We then must subtract the number of families with girls only, the number of families with both boys and girls, and the number of families with no children. 20 - 7 is 13, then 13 - 8 is 5, and 5 - 0 is 5.
Solve for c:
112 = 14c
Answer:
its 8 i belive
Step-by-step explanation:
Find the 43rd term of the sequence
-3.0,-2.5,-2.0,-1.5
Answer:
19.5
Step-by-step explanation:
The 43rd term of the sequence is 19.5
Can someone please help!!
Answer:
https://youtu.be/WYNfQabLpuk
Please help me find the answer fo this!!
Answer:
÷3==533740£; ok8iejeoeoeo
Which statement is represented by this equation? 3(4-x)+8=24
Answer:
x=4
Step-by-step explanation:
First divide 3 from both sides.
Then minus 8 which makes it 0.
Finally, pull the x to the other side giving you x=4
The volume of the polyhedron is ______ cm3.
if twice a number is decreased by 13, the result is 9, what is the number?? (please make a solution)
Answer:
22
Step-by-step explanation:
2x-13=9
2x-13-9=0
2x-22=0
2x=22
x=11
What is the value of x
Answer:
it Is a variable..............
Zac gave 60 candies to 12 friends. Write an equation to solve how many pieces they each get.
HELPP PLSS
Answer:
each friend gets 5 candies.
Step-by-step explanation:
ok, let's list the basics.
Zac has 60 candiesZac has 12 friendsEach friend gets the same amount of candiesfor this question we need to use division.
60 ÷ 12 = 5
i really hope this helped, if you have any questions feel free to ask
good luck my friend!
-cheesetoasty