Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]
The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).
The lower limit is 0.5.The upper limit is 0.7.A similar problem is given at https://brainly.com/question/16807970
The library owns 80,000 books. 90% of the books are fiction books. How many fiction books does the library own?
Answer:
72 000 fiction books
Step-by-step explanation:
80000 * 90% = 80000 * 0,9 = 72000
Answer:
The library own 72,000 fiction books.
Step-by-step explanation:
# of fiction books =(total # of books)(% of fiction books)
[tex]B_f=(80,000)(.90)=72,000[/tex]
After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.m., what time did he leave his house?
A. 8:10 a.m.
B. 8:20 a.m.
C. 8:30 a.m.
D. 8:40 a.m.
Answer:
D. He left his house at 8:40 a.m
Which statement is true ?
Answer:
d
Step-by-step explanation:
plan 2 grows exponentially so it grows at a faster rate than plan 1, even though plan 1 starts with 100 members
Complete the table below to find solutions to the linear equation −3x−y=27.
Answer:
×=3×+y=27
Step-by-step explanation:
the variables are not the same so you cant do anything
Answer:
X Y (X,Y)
0 -27 (0,-27)
4 -39 (4,-39)
-9 0 (-9,0)
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(0.97)^x
what is the % increase
Answer:
Step-by-step explanation:
As the number under the exponent is less than 1, this is a decay function.
y decreases by (1 - 0.97)100 = 3% for each unit increase in x
so the increase would be -3%
Evaluation the following:
A.
[tex] \sqrt{ \frac{32 {y}^{2} }{72 {x}^{2} } } [/tex]
B.
[tex] \sqrt[3]{ \frac{125 {m}^{3} }{36 {m}^{2} } } [/tex]
C. if
[tex] x1 = 2 \: and \: x2 = 1 \\ and \: y1 = 3 \: and \: y2 = - 1[/tex]
then find the value of :
[tex] \sqrt{ \frac{x2}{y2} - \frac{y2}{x2} } [/tex]
Answer:
A. √32y²/72x²= 32y/72x
Step-by-step explanation:
√32y²/72x²= 32²/72²
= 32/72.
B. √125m³/36m²
=4192.6/108
=38.8203.
C. √x²/y²-y²/x²
therefore, x²=1, y²=-1
that is, √1/-1 - -1/1= -1(-)-1=0.
2 numbers that round to 70. The sum of the two numbers is 136
Answer:
68 and 68
Step-by-step explanation:
hope this helps
Do You KNOW HOW?
Describe the type of association between x and
y for each set of data.
Please help☹️
Answer:
The type of association between x and y are inversely proportional
Step-by-step explanation:
Solution:
Here the x value increase, the y value decrease which implies that x is inversely proportional to y
I hope this helps.
I need help with a pre calc/ law of sines question
Answer:
The c will equal 2.56
Step-by-step explanation:
The A will equal 42.48 degrees
The B will equal 96.92 degrees
If Jaime wants to find 60% of 320, which table should he use?
A 2-column table with 11 rows. Column 1 has entries 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, blank, blank, blank, blank, blank, blank, Total blank.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, Total blank.
A 2-column table with 4 rows. Column 1 has entries 30 percent, 30 percent, 30 percent, Total 100 percent. Column 2 has entries blank, blank, blank, Total blank.
A 2-column table with 3 rows. Column 1 has entries 50 percent, 50 percent, Total 100 percent. Column 2 has entries blank, blank, Total blank.
Answer: The answer is A. Six 10% and total 100% (I hope ya'll understand what I'm saying)
Answer:
it is A
Step-by-step explanation:
just finished
What is the answer to 5a-1 when a=1/3
Answer:
.65
Step-by-step explanation:
if there are 60 houses and every house have one kid and there's 30 parts how much kids will have to go to each Park
Answer:
2 parks
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
There would be 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20
In 20P9 what does the "20"
represent?
A. Permutation
B. The number of items in the set.
C. The number of objects selected from the set.
Answer:
It is b
Step-by-step explanation: Because only one that makes sense
(2a+3) by (a+2) binomial multiplication
Answer:
refer to the attachment
hope it helps.......
Answer:
2a² + 7a + 6Step-by-step explanation:
(2a+3) (a+2) = 2a(a) + 2a(2) + 3(a) + 3(2) = 2a² + 4a + 3a + 6 = 2a² + 7a + 6Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)
its urgent .have an exam tomorrow .pls help
Can anyone help me answer this
Answer:
(-4;5)
Step-by-step explanation:
Replace x and y by each of the possible solution until the equation is true. here it is true for (-4 ; 5), because:
3 * (-4) - 2 * 5 = -12 - 10 = -22
Solve the equation: c + -22 = 16
Answer:
c=38
Step-by-step explanation:
Answer:
c = 38
Step-by-step explanation:
c+(-22) = 16c-22 = 16c = 16+22c = 38An experiment is given together with an event. Find the (modeled) probability of each event, assuming that the dice are distinguishable and fair, and that what is observed are the numbers uppermost.
Two dice are rolled; the numbers add to 11.
Answer:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
Step-by-step explanation:
A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)
What is the answer to the equation 56/3+7=
Hey there!
56/3 + 7
= 56/3 + 7/1
= 56/3 + 21/3
= 56 + 21/ 3 + 0
= 56 + 21/3
= 77/3
≈ 25 2/3
≈ 25.666667
Therefore, your answer is: [77/3] which is approximately [25.666667]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help help math help help help math
Step-by-step explanation:
We know that angles on a straight line add up to 180, so:
5x+5+5x+5=180
Simplify
10x+10=180
Solve
Take away 10 from both sides
10x=170
Divide 170 by 10
x = 17
Precalculus graph function help please
If 22 is added to a number and the sum is divided by 2, the result is 6 times a number. Find the number
Answer:
The number is 2
Step-by-step explanation:
(22+2)/2=12
6*2=12
May you please give brainliest?
Solve
-4(-2)
A. -8
B. -6
C. -2
D. 8
Answer:
D
..............................
please help me with these questions I could truly appreciate it. No link please!
Explain why an exponential or logarithmic function would not be used to model the graph from question 1?
For Question 1, what is the y intercept and explain the meaning in the context of that problem?
Answer:
see below
Step-by-step explanation:
neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.
1. 600, y intercept is when the study began
A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.
The graph is neither an exponential function, nor a logarithmic functionThe y-intercept is 600The function type
An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.
These functions would not increase and then decrease or decrease and then increase at different intervals.
From the attached graph, we can see that the graph increases and decreases at several intervals.
Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.
The y-intercept
The graph cross the y-axis at y = 600.
Hence, the y-intercept is 600
Read more about exponential and logarithmic functions at:
https://brainly.com/question/3181916
Jason gets 15 gallons of gas for $3.90 a gallon which gives him 20 miles to the gallon. How many miles can Jason travel on one tank of Jason?
Answer:
0.75 mi.
Step-by-step explanation:
15/20=3.90/x
PLEASE HELP GUYS I’m so stuck
Answer:
what we have to do here hmm mm mm .......
venere madona de mihai eminescu particularitatile textului literar și poetic
which two expressions are equivalent to 7(t + 5)?
A). 7 • 5 • t
B). 7 • 5 + t
C). 7 • 5 + 7 • t
D). (5 + t) • 7
E). 5(t + 7)
Answer:
7.5+7.t
and
(5+t).7
are equivalent to 7(t+5)
Option D and E are equivalent to 7(t + 5) That is :
(5 + t) • 7 and 5(t + 7)
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given equation is :
7(t + 5)
7(t+5) multiply 7 with inside the parenthesis
7(t+5) = 7t + 7x5
this result is equivalent to option D and E which will give the same result.
Therefore, Option D and E are equivalent to 7(t + 5).
Read more about expressions at :
https://brainly.com/question/12030750
#SPJ2
.
Solve using traditional division: 3,385 31.
109 R6
1009
108 R 37
109
Answer:
109r6
Step-by-step explanationi got it