Solution :
Population proportion, P = 77%
Sample size is given by n = 55
Sample proportion = [tex]$\frac{x}{n} = \frac{34}{55}= 0.61$[/tex]
Null hypothesis
The population proportion of the fatalities of the drivers that are related to alcohol = 77%
[tex]$H_0 : P = 77$[/tex] %
[tex]$H_0 : P = 0.77$[/tex]
Alternate hypothesis, [tex]$H_a : P < 0.77$[/tex]
Therefore, the test statistics = [tex]$\frac{0.61 - 0.77}{\sqrt{\frac{0.7 \times 0.23}{55}}}$[/tex]
= -3.2
Critical value = -1.64
and the rejection zone : test zone, -1.645
Therefore, we fail rejecting [tex]$H_0$[/tex]
p value 0.0582
rejection zone :: p value , 0.01
So we fail to reject [tex]$H_0$[/tex]
Thus the data does not indicate the population proportion of the drivers fatalities which are related to the alcohols which is less than 77% in the county of Kit Carson.
what is true about the solution to the system of inequalities shown? y < 1/3x -1
y<1/3x-3
Answer:
Step-by-step explanation:
All values that satisfy y ≤ (1/3)x - 3 are solution
A large cooler full of water is being drained. The relationship between the amount of water in the cooler in liters and the number of minutes the cooler is draining is shown
the provided graph. What is the meaning of the intercept in this situation?
Answer:
The cooler is empty after 15 minutes.
Step-by-step explanation:
If x=5 what is the perimeter of the triangle ??????
Answer: 21
Step-by-step explanation: Replace the x with 5.
2(5) + 11 = 10 + 11 = 21
6(5) - 9 = 30 - 9 = 21
Use the provided information to write the standard form equation of the parabola.
Opens up or down, and passes through (8,0), (13,-5), and (12,0)
Answer:
f(x) = -x² + 20x - 96Step-by-step explanation:
Parabola f(x) = ax² + bx + c passing through points (8,0) and (12,0) means that 8 and 12 are its root and (x-8) and (x-12) are its factors
So we get:
f(x) = a(x - 8)(x - 12)
The parabola passes through point (13, -5) that means if x=13 then f(x)=-5
So:
-5 = a(13 - 8)(13 - 12)
-5 = a(5)(1)
-5 = 5a
a = -1 {<0 so parabola opens down}
Therefore:
f(x) = -(x - 8)(x - 12)
And expanding:
f(x) = -(x² - 12x - 8x + 96)
So the standard form equation of the parabola:
f(x) = -x² + 20x - 96
Can you help me with this? 3
Answer:
acute
Step-by-step explanation:
is the expression a valid way to calculate a 15% tip on a cab fare of d dollars?
Answer yes or no
EXPRESSION
0.10d + 0.05d Yes or No
0.85d Yes or No
1.015d Yes or No
0.15d Yes or no
Solve the system by graphing.
y = 3x -4
y= -1/2x +3
Answer:
(2,2)
Step By Step Solution:
(2,2)
Decrease £7200 by 5%
and what increases £2700 by 20%
Answer:
Decrease:£7,560
increase:£3,240
(-8,7), m=5
Y-7=5(x+8)
Answer:
The line of the equation is:
[tex]y-7=5\left(x+8\right)[/tex]
Step-by-step explanation:
Given
m=5point (-8, 7)As the point-slope form is given by
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
substituting the values m=5 and the point (-8, 7)
[tex]y-7=5\left(x-\left(-8\right)\right)[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]y-7=5\left(x+8\right)[/tex]
Therefore, the line of the equation is:
[tex]y-7=5\left(x+8\right)[/tex]
SI-
Class:
28
Graphing Review #2 (8)
Name: GO
1. The following database shows ice cream sales based on daily high temperatures.
Ice Cream Sales vs Temperature
Temperature C Ice Cream Sales
$215
14.2
16.40
$325
11.99
$185
15.2
600
$332
18.5°
$406
.
22.10
$522
$500
19.40
$412
25.1
3400
$614
15300
a) Construct a scatter plot
to compare the total sales
to the daily high temperature,
b) What type of correlation is $200
shown by the data?
100
c) Draw a line of best fit.
d) Predict what the total sales would
se if the temperature was 17°C ?
10
Ve6
Temperature
Answer:
Step-by-step explanation:
SI-
Class:
28
Graphing Review #2 (8)
Name: GO
1. The following database shows ice cream sales based on daily high temperatures.
Ice Cream Sales vs Temperature
Temperature C Ice Cream Sales
$215
14.2
16.40
$325
11.99
$185
15.2
600
$332
18.5°
$406
.
22.10
$522
$500
19.40
$412
25.1
3400
$614
15300
a) Construct a scatter plot
to compare the total sales
to the daily high temperature,
b) What type of correlation is $200
shown by the data?
100
c) Draw a line of best fit.
d) Predict what the total sales would
se if the temperature was 17°C ?
10
Ve6
Temperature
Joe says there is a total of 40 students. Do you agree with Joe? Why or Why not?
Answer:
Step-by-step explanation:
Well the question you should be asking first is....what is part a? Because if you put that picture up i could mostly help sooo
Which expression has a negative value?
O 2+ 12
O (-3)(-8)
O 10-(-18)
0-35-5
Answer:
-35-5 has a negative value
Step-by-step explanation:
-35 - 5 = -40
If this helps can I get brainliest? Thanks
what is the domain of this scatter plot?
Answer:
this answer should be green
Express the number 3,440,000 in Scientific Notation.
Answer:
3.44 * 10^6
Step-by-step explanation:
3,440,000
3.44 * 10^6
Answer: It would be 3.44 × 10^6.
Plz help me plz I need answer and explanation plz
plz answer me the due date within 10 minute plz answer me
9514 1404 393
Answer:
A = {put, the, cake, in, basket}
B = {is, the, cake, in, basket}
C = {no, the, cake, in, basket}
D = { }
Step-by-step explanation:
A = (A -B) ∪ (A∩B) ∪ (A∩C}
A = {put} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}
A = {put, the, cake, in, basket}
__
B = (B -A) ∪ (B -C) ∪ (B∩A) ∪ (B∩C)
B = {is} ∪ {is} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}
B = {is, the, cake, in, basket}
__
C = (C -B) ∪ (C∩A) ∪ (C∩B)
C = {no} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}
C = {no, the, cake, in, basket}
__
D = { } . . . . not defined anywhere
Geometry problem plz help?
Step-by-step explanation:
let eqn be y = mx + b.
m = (9 - 1)/(2 - 4) = -4
sub (4, 1):
1 = -4(4) + b
b = 17
therefore, it's y = -4x + 17
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
how to divide mixed fracions
Answer:
Change each mixed number to an improper fraction.
Multiply by the reciprocal of the divisor, simplifying if possible.
Put answer in lowest terms.
Check to be sure the answer makes sense.
Step-by-step explanation:
Hope you have a good day
Is -9.25 greater than 6 1/2
Answer:
No sir
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Negatives are always less than positives.
Look at it on a number line:
Hope this helped!
PLEASE HELP !! Timed test Which equation represents the relationship between x and y in the table?
Answer:
divided by 5
Step-by-step explanation:
Hope that helps!
Answer:
Answer Choice D- y=x/5
Step-by-step explanation:
All the numbers in the table fit in and correlate to the equation. You can substitute any of the x's into the equation and get y correctly this is why the equation y=x/5 is the solution.
If you can please make my answer the brainliest that would be much appreciated. Thanks!
Which of the following is 5/9 closest to? a 1/2 b 0 c 1
Answer: do you have a picture of the assignment?
Step-by-step explanation:
The factors from least to greatest are
Answer:
wheres the picture?
Step-by-step explanation:
im ready but i dont know the problem
which number liin shows -5x+10>-15
A. -10 to 1
B. 5 to 10
C. 1 to 10
D. -10 to 5
Greta uses 2oz of pasta to make 2/3 of a serving of pasta.How many oz of pasta are there per serving
Answer:
3oz of pasta per serving
Step-by-step explanation:
Given parameters:
Number of oz of pastas used = 2oz
Quantity of serving = [tex]\frac{2}{3}[/tex]
Unknown:
Number of oz of pasta per serving = ?
Solution:
To solve this rate problem use;
Number of oz of pasta per serving = [tex]\frac{number of oz of pasta}{number of serving}[/tex]
Number of oz of pasta per serving = [tex]\frac{2}{\frac{2}{3} }[/tex] = 2 x [tex]\frac{3}{2}[/tex] = 3oz of pasta per serving
check if the two triangles are congruent
Which numbers are solutions of h2+4=8h−3?
A. 1
B. 3
C. 5
D. 7
it asks which 2 are correct, please help.
Not sure but I think its b and d
What is the purpose of having a Institutional Review Boards?
Answer:
This group review serves an important role in the protection of the rights and welfare of human research subjects. The purpose of IRB review is to assure, both in advance and by periodic review, that appropriate steps are taken to protect the rights and welfare of humans participating as subjects in the research
Consecutive interior angles are
Answer:
When two lines are crossed by another line (called the Transversal): The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
Answer:
When two lines are crossed by another line (called the Transversal): The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
Step-by-step explanation:
A function has the function rule y = x - 7. If the input is 4, what is the output?
A. 3
B. -3
C. 11
D. -11
Answer:
The awnser is B. -3
Step-by-step explanation:
4-7=-3
x-7= y
What are the steps in order to correctly solve the equation
4x1/3 + 9 = 25
and what is the correct answer?
Answer:
X=12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
x=12
Step-by-step explanation:
step one is multiplying rest is in pic mark as brainliest
Find the y-intercept for the following equation.
4x + 9y = 27
Answer:
(0,3)
Step-by-step explanation: