Answer:
Step-by-step explanation:
12y + 40 ≥ 148
12y ≥ 108
y ≥ 9
Rupesh must mow at least 9 more yards to have
the $148 he needs.
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
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]
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
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.
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
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
Factorise fully c^3+c^2
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.
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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
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. 2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. 3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
4. If Kevin wrote 21 posts, how many did Cheryl write?
Answer:
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)
The expression will be P for "of posts Kevin writes."
2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)
The operation I will use is subtraction so P-7.
3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)
Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )
4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)
Cheryl wrote 14 posts, because 21 - 7 = 14
Hope this helps <3
1. We have chosen a variable 'x' to represent the number of posts by Kevin.
2. Subtraction applies to this situation.
3. The number of posts written by Cheryl is (x - 7).
4. If Kevin wrote 21 posts, Cheryl wrote 14 posts.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Let, Kevin writes 'x' number of posts,
Therefore, Cheryl writes (x - 7) posts.
We could have chosen any letters for the number of posts Kevin writes,
And as Cheryl writes fewer posts than Keving we subtracted the number.
If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,
(21 -7).
= 14 posts.
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what is -9x - 5x + 6x + 3 = ?
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
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
(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
PLEASE PLEASE HELP ASAP!!
Find the value of x. Leave your answer in simplest radical form.
Answer: 6
Step-by-step explanation:
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.
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
70 points !!! So try
Answer:
1/ 5²
Step-by-step explanation:
= 5³ × 1/5⁵
= 125 × 1/5⁵
= 125/3125
= 1/25 or 1 / 5²
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
Increase 40 by 1/2
I need help, im bad at mathematics.
Answer:
The answer is :60
Step-by-step explanation:
Hmmmm...... because
A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event
Answer:
Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability
Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability
Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability
Step-by-step explanation:
The probability of the given events is:
[tex]\frac{1}{4}[/tex][tex]\frac{1}{4}[/tex][tex]\frac{3}{8}[/tex]According to the question,
Number of outcomes = 8
Event A:
Having the alternative even and odd numbers.
→ [tex](EOE, OEO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event B:
No even number and last two rolls.
→ [tex](EOO,OOO) = \frac{2}{8}[/tex]
[tex]= \frac{1}{4}[/tex]
Event C:
Exactly on odd number:
→ [tex](EOE,OEE,EEO) = \frac{3}{8}[/tex]
Thus the above approach is correct.
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2. Given R (6, -2) and S (8, 12), find the midpoint of RS.
Answer:
You need to find the slope of the two points given, then you need to add or subtract (depending on if the slope is increasing or decreasing). Once you find the slope add or subtract the answer onto R or S.
Step-by-step explanation:
SLOPE FORMULA-
y2-y1 / x2-x1
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:
if a box of oranges weigh 4 kilograms one orange weighs 80g how many oranges?
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
What’s the units?? Plz need help
Answer: 4 units
Step-by-step explanation:
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].
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.
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
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