Answer:
area of rectangle=length ×breadth
area of rectangle=12yd×15yd
area of rectangle=180yd²
3) The school that Jill goes to is selling tickets to a fall musical. On the first day of ticket sales the
school sold 3 senior citizen tickets and 6 child tickets for a total of $102. The school took in
$184 on the second day by selling 1 senior citizen ticket and 12 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.
Step-by-step explanation:
x - number of senior citizen tickets sold
y - number of child tickets sold
1st day: 3x + 6y = 102
2nd day: x + 12y = 184
2 (3x + 6y = 102)
= 6x + 12y = 204
-1 (x + 12y = 184)
= -x - 12y = -184
6x + 12y = 204
-x - 12y = -184
= 5x = 20
x = 4
3(4) + 6y = 102
= 12 + 6y = 102
= 6y = 90
y = 15
Answer:
One senior ticket is $ 4.00 and one child ticket is $ 15.00
Hope this helps! :D
is -3 or 2 a higher slope? ( please help fast will give brainliest and thanks!!!!! 100 points help pleaseeeeee!!!!)
Answer:
ANSWER IS -3
Step-by-step explanation:
HOPE THIS HELPS
ANSWER IS -3
have a good day
pleaseeeee help meee !!!!!! i need this answer for my testtt !!!!!
Answer:
C. Scalene
Step-by-step explanation:
Scalene triangles have three different side lengths. This triangle has three different side lengths from the points given so it must be scalene.
Equilateral would be three identical side lengths.
Isosceles would have two identical side lengths.
PLEASE PLEASE HELP ASAP!!
Find the value of x. Leave your answer in simplest radical form.
Answer: 6
Step-by-step explanation:
PLEASEE HELPP IM DESPERATE I’LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST CORRECTLY
The function below has at least one rational zero. Use this fact to find ALL zeros of the function.
g(x)=5x^3+x^2-20^x-4
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.
Answer:
x = 2, -2, -1/5
Step-by-step explanation:
g(x)= 5x^3+x^2-20x-4
g(x)= x^2(5x+1)-4(5x+1)
g(x)=(x^2-4)(5x+1)
g(x)=(x-2)(x+2)(5x+1)
x-2=0
x= 2
x+2=0
x= -2
5x+1=0
x= -1/5
What would the slope of a line be to line perpendicular to the following: Y = 2x - 2
Answer:
-1/2x
Step-by-step explanation: negative reciprical
Factorise fully c^3+c^2
The solution to -3x + 5x - 7 = -11 is _____.
Answer:
x = -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Solve each problem.
1) Which option shows the numbers ordered
smallest to largest?
A. 3.37, 3.34, 3, 3.4
B. 4.3, 4.28, 4.13, 4
C. 8.2, 8, 8.3, 8.21
D.9, 9.03, 9.08, 9.4
Answer:
D
Step-by-step explanation:
can someone pls help with this i’m so confused
Answer:
biggest size is 115 inches.
smallest size is 40 inches
Step-by-step explanation:
the biggest size will be
Tmax= 2(168)/3 + 3
= 115 inches..
the smallest size
Tmin= 168/4 - 2= 40 inches
if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?
3/5 + 1/5 pls help meee
Answer:
[tex]\frac{3}{5} +\frac{1}{5} =\frac{4}{5}[/tex]
Step-by-step explanation:
The denominator doesn't really matter here. You just have to add the numerators and then put the denominator back on again. The numerators are 3 and 1 and if you add 3 and 1 you will get 4. Now you have to put the denominator back on to the bottom of the numerator. So, if you but 5 on the bottom of 4 it will be [tex]\frac{4}{5}[/tex].
There are 23 men and 7 women running a race. What is the ratio of the number of male runners to the total number of runners?(these are all my points please give a honest answer)
Answer:
The ratio would be 30:23
Step-by-step explanation:
It cannot be simplified ''pretty'' so it would stay as 30:23.
Triangle JKL is similar to triangle MNO. Find the measure of side OM. Figures are not drawn to scale.
Answer:
16.8
Step-by-step explanation:
Because 2 to 8.4 is a scale factor of 1:4.2, you must solve 4*4.2. 4*4.2=16.8, so side OM is 16.8.
Answer:
16.8 is the measurement of OM
Step-by-step explanation:
In the JKL triangle the line LK is measured by 2 while the LJ is 4 the measurement is doubled and it is stated that JKL and MNO have the same measurement therefore the pattern can be seen in the traingle JKL.
What’s the units?? Plz need help
Answer: 4 units
Step-by-step explanation:
im like gonna be posting these because i been on this section since august
Answer:
$102
Step-by-step explanation:
First calculate the number of hours for morning and afternoon.
[8:15 - 12:15] 12 - 8 = 4 hours for the morning
[13:00 - 17:30] (17 - 13) + 1/2 an hour = 4.5 hours
Giving us a total of 8.5 hours.
12 x 8.5 = 102
Find the slope of the line. The slope of the line is
Answer:
[tex]\boxed{\sf The\: slope\: is \: 0}[/tex]
Step-by-step explanation:
[tex]\boxed{\sf {Slope}=\cfrac{y_2-y_1}{x_2-x_1}}[/tex]
____________
[tex]\sf \left(x_1,\:y_1\right):\left(-1,\:3\right)[/tex]
[tex]\sf \left(x_2,\:y_2\right):\left(3,\:3\right)[/tex]
[tex]\sf Slope\:(m)=\cfrac{3-3}{3-\left(-1\right)}[/tex]
[tex]\sf m=0[/tex]
Need help in math!!!!!!!!
Answer:
1.9x+2(1.5)>30
Step-by-step explanation:
1.9(15)+2(1.5)
28.5+3
31.5 dollars
therefore the equation is grater than 30 dollars
if you help i will say thank you
Answer:
C
Step-by-step explanation:
(5,-4)
Answer:
C
Step-by-step explanation:
(5,-4) by using elimination method
Simplify 15c−8d0
15
c
−
8
d
0
. Write your answer using only positive exponents.
Answer:
The expression is simplified to:
15/(c^8)
Step-by-step explanation:
I have attached an image to make the question clearer.
15c^(-8)d^(0).
Using the zero exponent property (a^0 = 1),
d^0 = 1. Therefore we have:
15c^(-8)(1) = 15c^(-8).
Using the negative exponent rule [a^(-r) = 1/(a^r)],
c^(-8) = 1/(c^8). Therefore we have:
15 x 1/(c^8) = 15/(c^8).
Therefore, The expression is simplified to: 15/(c^8).
what is -9x - 5x + 6x + 3 = ?
6m – 3 = 5 – (m + 39.5)
What is the solution of the equation shown
Answer:
m= -4.5
Step-by-step explanation:
Let's solve your equation step-by-step.
6m−3=5−(m+39.5)
Step 1: Simplify both sides of the equation.
6m−3=5−(m+39.5)
6m−3=5+−1(m+39.5)(Distribute the Negative Sign)
6m−3=5+−1m+(−1)(39.5)
6m−3=5+−m+−39.5
6m+−3=5+−m+−39.5
6m−3=(−m)+(5+−39.5)(Combine Like Terms)
6m−3=−m+−34.5
6m−3=−m−34.5
Step 2: Add m to both sides.
6m−3+m=−m−34.5+m
7m−3=−34.5
Step 3: Add 3 to both sides.
7m−3+3=−34.5+3
7m=−31.5
Step 4: Divide both sides by 7.
7m
7
=
−31.5
7
m=−4.5
Step-by-step explanation:
6m-m=5-3+39.5
5m=-37.5
m=7.5
2- 1/2n=3n+16
I need you to solve the whole equation step by step
Answer:
n = -4
Step-by-step explanation:
2 - 1/2 n = 3n + 16
Combine the constants by subtracting 2 from both sides.
-1/2n = 3n + 14
Combine the variable by subtracting 3n from both sides.
-7/2n = 14
Multiply both sides by 2 to simplify the fraction.
-7n = 28
Isolate n by dividing by -7 on both sides.
n = -4
Check.
2 - 1/2(-4) = 3(-4) + 16
2 + 2 = -12 + 16
4 = 4
Your answer is correct.
Answer:
2-16=3n+1/2n
-14=(6n+n)/2
-28=7n
n=-4
two walls are 10 ft long and the other 2 walls are 7 ft long what’s the total square foot of the room
Answer:
70
Step-by-step explanation:
10 * 7 = 70 square ft
During a flu vaccine shortage in the United States, it was believed that 45 percent of vaccine-eligible people received flu vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. Construct a 99 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine. Use your confidence interval to comment on the belief that 45 percent of the vaccine-eligible people had received flu vaccine. Suppose a similar survey will be given to vaccine-eligible people in Canada by Canadian health officials. A 99 percent confidence interval for the proportion of people who will have received flu vaccine is to be constructed. What is the smallest sample size that can be used to guarantee that the margin of error will be less than or equal to 0.02
Answer:
Answer:
Part A: 99% CI is given by : (0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
Step-by-step explanation:
Part A:
The test statistic p^ ±z sqrt (p`q`/n) will be used because
It is a random sample and both np^≥10 also nq^≥10 so the large sample interval procedure is used.
Here
p= proportion of vaccine- eligible people who received flu vaccine
Sample size= n= 2350
Sample success= p^=978/2350= 0.4161
Sample failure= q^= 1-p`= 1- 0.4161= 0.5838
For 99% CI the z- value is 2.576
Using the test static
p^ ±z sqrt (p^q^/n)
0.4161± 2.576 sqrt( 0.4161*0.5838/2350)
0.4161± 2.576 * 0.010167
0.4161± 0.02619
(0.38998, 0.44236)
Part B:
The given proportion 45 % or 0.45 is not included in the 99% confidence interval which is 0.39- 0.44 . So it is not consistent with the statement that 45 % got vaccinated.
Part C:
z* sqrt ( p^q^/n) ≤ 0.02
sqrt ( p^q^/n) ≤ 0.02/z
Taking square of both sides
( p^q^/n) ≤ [0.02/z]²
Reciprocating both sides
n/p^q^ ≥[ z/ 0.02]²
n≥[ z/ 0.02]²p^q^
n≥ z²p^q^/[ 0.02]²
Putting the values
n ≥(2.576)² (0.5)(0.5)/ 0.2²
n≥ [2.576 /2 (0.02) ]²
n≥4,147.36
There should be at least 4148 vaccine eligible people in Canada to guarantee that the margin of error will be less than 0.02
Increase 40 by 1/2
I need help, im bad at mathematics.
Answer:
The answer is :60
Step-by-step explanation:
Hmmmm...... because
70 points !!! So try
Answer:
1/ 5²
Step-by-step explanation:
= 5³ × 1/5⁵
= 125 × 1/5⁵
= 125/3125
= 1/25 or 1 / 5²
Solve the equation 3x-1 = -7
Answer: x = -2
Step-by-step explanation:
first, we move the constant to the right.
3x = -7 + 1
then, we calculate that.
3x = -6
finally, we divide both sides.
x = -2
The solution to the equation 3x - 1 = -7 is x = -2.
To solve the equation 3x - 1 = -7, we need to isolate the variable x on one side of the equation.
Here are the steps to solve it:
Step 1: Start with the given equation: 3x - 1 = -7.
Step 2: To eliminate the constant term (-1) on the left side, we can add 1 to both sides of the equation:
3x - 1 + 1 = -7 + 1.
Simplifying, we get: 3x = -6.
Step 3: Now, we want to isolate x, so we need to get rid of the coefficient 3 in front of x.
We can do this by dividing both sides of the equation by 3:
(3x)/3 = (-6)/3.
Simplifying further, we have: x = -2.
Step 4: We have found the solution to the equation: x = -2.
Therefore, the solution to the equation 3x - 1 = -7 is x = -2.
Learn more about equation click;
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Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages
Answer:
the probability that sales will be less than 81,000 packages is 0.6681
Step-by-step explanation:
Given that;
Average sales μ = 87,000
standard deviation σ = 4,000
x' = 81,000
P( x < 81,000) = ?
so
P( x < 81,000) = P( x - μ / σ )
we substitute
P( x < 81,000) = P( 81,000 - 87000 / 4000 )
P( x < 81,000) = P( - 6000 / 4000 ) = -1.5
from table;
P( z < 1.5 ) = 0.6681
Therefore the probability that sales will be less than 81,000 packages is 0.6681
(Extra Credit) Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 75% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. If it has an emergency locator, what is the probability that it will not be discovered?
Answer:
0.0323 = 3.23% probability that it will not be discovered
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Has emergency locator
Event B: Probability it will not be discovered.
Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.
So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].
90% of the aircraft not discovered do not have such a locator.
So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]
Probability of having the locator:
75% of 80%(Discovered).
10% of 20%(Not discovered). So
[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]
If it has an emergency locator, what is the probability that it will not be discovered?
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]
0.0323 = 3.23% probability that it will not be discovered