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
NEED ASAP
in a company, 65% of workers are men. if 1,995 people work for the company who aren’t men, how many worker are their in all.
Answer:
5700
Step-by-step explanation:
Assume that the total number of people working for the company is x. Since 65% of workers are men and 1,995 people working for the working are not men, then that means that 35% of the total number of people working for the company is equal 1,995.
Set up an equation: 0.35x = 1,995 and find x.
x = 5700
please help me with -6 - (1 - 2 x) in Distributive Property this question
Answer:
-7 + 2x
Step-by-step explanation:
I will give Brainliesttttt :D!
A car's gas mileage is the distance it can go using 1 gallon of gas (measured in miles per gallon).
Based on the graph, what is this car's gas mileage? Explain.
Answer:
20 mpg
Step-by-step explanation:
Answer:
The car is traveling 20 miles per gallon.
Step-by-step explanation:
There are two ways you can solve this.
1) Since this is a graph of the car's gas mileage, all you have to do is look to find the miles for one gallon, which is plotted in this case. As you can see, for one, it is plotted halfway between 0 and 40, so that means the mile number would be 20. Looking at this, the car travels 20 miles per gallon.
2) You can also look at the point at the top that is clearly defined, and the point is (12, 240), 12 gallons used for 240 miles. To get the exact number of miles for one mile, you would divide 12 and 240 both by 12, which results in (1, 20). Since it is miles per gallon, the car gas mileage is 20 miles per gallon.
Hope this helped and have a great day!
Find positive numbers x and y satisfying the equation xy=20 such that the sum 4x+y is as small as possible.
6=4x^3-10x^2 please hurry it's a test
Answer:
x = about 2.705
Step-by-step explanation:
Does this help? Are you supposed to find x? That's what I did but you don't state what exactly you need.... So.....?
Which inequality represents this sentence?
A number is no less than 48.
n < 48
n > 48
n < 48
n>48
The inequality that can be used to represent the information that a number is no less than 48 will be n > 48.
Inequality simply means a mathematical expression that is used in which the sides aren't equal to each other.
It should be noted that the expression that a number is no less than 48 means the number is greater than 48. Therefore, the inequality is n > 48.
Read related link on:
https://brainly.com/question/25701252
Answer: The correct answer is n≥48
Step-by-step explanation: Give me the brainiest
Scores on a recent exam followed a normal distribution and letter grades will be assigned with 15% A, 35% B, 30% C, 15% D, and 5% F. Suppose that Sue took the exam and had a standardized score of 0.85. What letter grade will Sue get?
Using the normal distribution, it is found that Sue will get a letter grade of B.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, Sue got a grade of 0.85, hence [tex]z = 0.85[/tex].
Looking at the z-table, z = 0.85 has a p-value of 0.8023, hence she is approximately in the top 20%, which is below the top 15% but above the top 50%, hence she got a letter grade of B.A similar problem is given at https://brainly.com/question/25745464
Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/3 mile
How many students will a team need to complete the race? Circle the correct number below
Answer:
9 students
Step-by-step explanation:
If 1 student runs a 3rd we need 3 students to run 1 mile.
Since we need 3 times that amount of miles we multiply the amount of students it takes to run 1 mile so that we find out how many we need to run 3 miles.
3 x 3 = 9
They will need 9 students I hope this helps have a great day :)
What are the solutions to this quadratic equation? x2+6x-5 A. B. C. D.
Dan received 64 dollars for his birthday. He went to a sporting goods store
and bought a baseball glove, baseball, and bat. He had 31 dollars left over,
how much did he spent on the baseball gear?
Answer:
the answer is 33 bucks because you have subtract the 64 -31 =33
Ln(x)+ln(x+7)=1
solve this log equation
Abcd is a parallelogram determine the length of BE
A)51 units
B)102 units
C)96 units
D) -11 units
Answer:
B) 102 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. This means ...
BE = ED
3 -9x = -8x +14
-11 = x . . . . . . . . . . . . add 9x -14
BE = 3 -9x = 3 -9(-11) = 3 +99
BE = 102 units
SUBTRACT the given polynomials : (x + 2) - (8x + 4)
A}7x + 2
B}7x - 2
C}-7x - 2
D}-7x + 2
WELP ;-;
The equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
Option C is correct
The given polynomial expression is:
(x + 2) - (8x + 4)
Expand the expression by removing the parenthesis
x + 2 - 8x - 4
Collect like terms
x - 8x + 2 - 4
-7x - 2
Therefore, the equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
Learn more on polynomials here:
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HELP ME PLEASE ASAP ASAP
Alyssa is baking a cake the recipe calls for 8 cups of flour she already put in 2 cups how many more cups does she need to add
What is 34÷18? Explain or show your reasoning.
Answer:
1.8889
Step-by-step explanation:
Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.
How much is f(x) = 3(4)x
Answer:
f ( x ) = 12 x
Step-by-step explanation: 3x4=12 so that makes it f(x)=12x
Emily is on a Ferris wheel and her height is modeled by the equation
27
y = 30.48 cos2pi/4.25 (x - 2) + 34.27 where x = the number of minutes since the
ride began and y = the height in feet of Emily.
a) What is the radius of the Ferris wheel?
b) How long does it take Emily to make one rotation?
The radius is______
feet and it takes Emily_____
minutes for one rotation.
The given function for the height of the Ferris wheel is a sinusoidal equation.
a) The radius is 30.48 feet and it takes Emily 4.25 minutes for one rotationReasons:
The function that gives the height of the Ferris wheel is presented as follows;
[tex]\displaystyle y = 30.48 \cdot cos \frac{2\cdot \pi }{4.25} \cdot \left(x - 2 \right) + 34.27[/tex]
Where;
x = The number of minutes since the ride began
y = The height in feet of Emily
a) Required:
The radius of the Ferris wheel
Solution:
Comparing the given equation with the general equation of a Ferris wheel, we have;
[tex]\displaystyle f(t) = \mathbf{A \cdot trig\left(B \cdot \left(t + C\right) \right) + D}[/tex]
The amplitude of the Ferris wheel = A = 30.48
The amplitude, A = The largest distance from the center = The radius, r
A = r
Therefore;
The radius of the Ferris wheel, r = A = 30.48 feet
b) The time it takes the Emily to make one rotation is given by the period, T, of the motion of the Ferris wheel as follows;
[tex]\displaystyle T = \mathbf{\frac{2 \cdot \pi}{B}}[/tex]
By comparison, we have;
[tex]\displaystyle B = \frac{2 \cdot \pi}{4.25}[/tex]
Therefore;
[tex]\displaystyle The \ period, \, T = \frac{2 \cdot \pi}{\left(\frac{2 \cdot \pi}{4.25} \right)} = 4.25[/tex]
The time it takes Emily to make one rotation, T = 4.25 minutes
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The owner of a bookstore buys used books from customers for one dollar and 50 Cent each owner then resells the used books for 400% of the amount he paid for them what is the price of a used book in the bookstore?
A substance with a half life is decaying exponentially. If there are initially 12 grams of the substance and after 2 hours there are 7 grams, how many grams will remain after 3 hours? Round your answer to the nearest hundredth, and do not include units.
If there initially 12 grams of the substance, 5.35 grams will remain after 3 hours
The initial amount, a = 12 grams
The amount after 2 hours, y = 7 grams
Time taken, x = 2 hours
First, let us calculate the decay constant, b
The formula for the final value of an exponential decay is:
[tex]y=a(1-b)^x[/tex]
Substitute y = 12, a = 7, and x = 2 into the equation to solve for b
[tex]7=12(1-b)^2\\\\\frac{7}{12} = (1-b)^2\\\\0.583=(1-b)^2\\\\\sqrt{0.583} = 1 - b\\\\0.764=1-b\\\\b=1-0.764\\\\b=0.236[/tex]
The decay constant, b = 0.236
After 3 hours:
Substitute x = 3, a = 12, and b = 0.236 to solve for y
[tex]y=a(1-b)^x\\\\y=12(1-0.236)^3\\\\y = 5.35[/tex]
Therefore, 5.35 grams will remain after 3 hours
Learn more here: https://brainly.com/question/25547758
pls pls pls help!!!!
Determine the simple interest earned when $6, 100 is invested at a rate of 5% for 4 years.
$1,220
$305
$610
$1,525
Answer: I think A 1,220 (I'm not sure)
Step-by-step explanation:
the aswer is A.1,220 si think si correct.
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
quick mafs ill mark brainliest
Answer:
LJ< JK<LK
Step-by-step explanation:
for a theorem, the order of the side of the triangle is the same as the order of the opposite angles since for the angles it's K<L<J, you replace each with the opposite side (quick trick, it's the one not containing the letter!)
What do you measure the amount of water in a vase
is this linear or not and why
Answer:
YesStep-by-step explanation:
Both equations of this system are of degree one.
They are both linear as the graph of both is a line.
Answer:
yes
Step-by-step explanation:
The highest power of variable is 1 . So it is a linear equation of two variables .
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=−2x−5
y=2x−2
Answer:
This doesn't make since.
Step-by-step explanation:
tammy has soccer practice every 12 days, basketball 18 days, band practice 20 days, and music class every 24 days. If she has all these practices on the same day today, then how many days will it be until she has all four practices.
Answer:
360 days
Step-by-step explanation:
It would be a whole year until the classes line up on the same day again, because it would only be the exact same date of the next year that they line up.
Hope this helps!
Lin's family has completed 30% of a trip, they have travelled 45 miles. How far is the trip?
Answer:
2 hours
Step-by-step explanation:
Answer:
150 miles
Step-by-step explanation:
45/3=15
15*7=105 15*3=45
105+45=150
15*10=150
:)
what has a fraction in numerator, denominator or both???