Since we already know that there is a 25% chance to guess the correct answer to a multiple choice question, all we have to do is multiply .25 and 68 to get the expected amount of answers a student can possibly guess. We multiply .25 since it is the decimal form of 25% and 68 is our total questions.
.25 x 68 = 17
Therefore, a student can expect to guess 17 answers correct on a test with 68 multiple choice questions.
Answer:
the answer is 17
Step-by-step explanation:
Hope this helps!
4. According to statistics reported on IN-CORP a surprising number of motor vehicles are not covered by insurance. Sample results, consistent with the IN-CORP report, showed 46 of 200 vehicles were not covered by insurance. a. What is the point estimate of the proportion of vehicles not covered by insurance? b. Develop a 95% confidence interval for the population proportion.
Answer:
a) 0.23
b) The 95% confidence interval for the population proportion is (0.1717, 0.2883).
Step-by-step explanation:
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]1-\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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Point estimate
The point estimate is:
[tex]\pi = \frac{46}{200} = 0.23[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{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}} = 0.23 - 1.96\sqrt{\frac{0.23*0.77}{200}} = 0.1717[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.23 + 1.96\sqrt{\frac{0.23*0.77}{200}} = 0.2883[/tex]
The 95% confidence interval for the population proportion is (0.1717, 0.2883).
The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 25 to 46 minutes. Let X denote the time until the next bus departs. The distribution is and is . The mean of the distribution is μ= . The standard deviation of the distribution is σ= . The probability that the time until the next bus departs is between 30 and 40 minutes is P(30
Answer:
The distribution is uniform and is continuous probability distribution.
The mean of the distribution is μ= 35.5 minutes.
The standard deviation of the distribution is σ= 6.06
P(30<x<40)= 0.476
Step-by-step explanation:
a.The amount of time in minutes until the next bus departs is uniformly distributed between 25 and 46 inclusive.
The distribution is uniform and is continuous probability distribution.
b.Let X be the number of minutes the next bus arrives and a= 25 , b= 46. Hence mean = a+b/2= 25+ 46/ 2= 35.5 minutes.
The mean of the distribution is μ= 35.5 minutes.
c. Standard deviation = √(b-a)²/12
Standard deviation= √(46-25)²/12= √(21)²/12= √441/12=√36.75= 6.06
The standard deviation of the distribution is σ= 6.06
d. P(30<x<40)
For this we draw a graph . It is also called the rectangular distribution because its total probability is confined to a rectangular region with base equal to (b-a) and height 1/(b-a) .
This can be calculated as
P(30<x<40)= base * height (in this probability the base is 10)
= (40-30) *(1/ 21)= 10/21= 0.476
The probability that the time until the next bus departs is between 30 and 40 minutes is 10/21.
Explanation:The question is asking for the probability that the time until the next bus departs is between 30 and 40 minutes. Since the distribution is uniform, we can find the probability by calculating the fraction of the total range that falls within the desired interval. In this case, the total range is 46-25=21 minutes, and the desired interval is 40-30=10 minutes.
So the probability is 10/21, which can be simplified to 10/21.
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Find the volume of the cone. Round your answer to the nearest tenth.
Answer:
45π or 141.4 [tex]cm^{3}[/tex]
Step-by-step explanation:
The volume of a cone is [tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Here we have a diameter of 6 cm which means we have a radius of 3 (dividing by 2)
Our height here is 15 cm
Plugging in all our values we get [tex]\frac{1}{3}\pi[/tex][tex](3)^{2} (15)[/tex] which gives us 45π or 141.4 [tex]cm^{3}[/tex]
Please help me!!
Gggggg
Answer:
divide the numbers that are on the paper
Step-by-step explanation:
Answer:
divide
Step-by-step explanation:
hope ur having a good day :)
Please answer this correctly
Answer:
all of them are valid solutions
Step-by-step explanation:
So we plug in values of t below and get:
18 is < 107
54 is < 107
36 is < 107
27 is <107
Find surface area by adding areas of faces
Go to lessc
Which expression can be used to find the surface area of the following cube?
s
Choose 1 answer
36 +36 + 36 +36 +36 + 36
®
6+6+6+6+6 + 6
12+12+12+12+12+12
36+36+36+36
Answer:
if the side length of a cube = 6, then the surface area of the cube is:
36 + 36 + 36 + 36 + 36 + 36
Step-by-step explanation:
A cube has 6 faces.
so you have to add the faces 6 times to get the total surface area of a cube.
63-28=subtracting by adding up
Answer:
35
Step-by-step explanation:
On subtracting 28 from 63 by adding up we get 35.
To subtract by adding up is special method to find the difference between two numbers. For 63-28, we can do it in the following steps:
We start by using the smaller number, here 28. And add a number to 28 such that it we receive a number that is easy to use further. So, here we can add 2 to it which gives us:
[tex]28 + 2= 30[/tex]
Now we take 30 and we can add another 30 to it. This gives us:
[tex]30+30 = 60[/tex]
Now the goal is to add a number such that the sum of the number and 60 make 63. So, we add 3 to 60 which gives us:
[tex]60+3 = 63[/tex]
Now we need to take the second number we have added in each of the steps (2, 30 and 3) and add them. The sum of these numbers will give us the difference between 63 and 28. Thus we can write it as:
[tex]63-28 = 2+30+3\\\\63-28 = 35[/tex]
Thus on subtracting 28 from 63 by adding up method we get the answer as 35.
Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1 comma 095 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1 comma 095 surveyed, 478 indicated that they were satisfied. Construct a 95% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
Answer:
The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.
Step-by-step explanation:
We have to see if 50% = 0.5 is part of the confidence interval.
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]1-\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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 1095, \pi = \frac{478}{1095} = 0.4365[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{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}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612[/tex]
The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.
Is 10 1/2 greater then or less than 10 3/4
Answer:
Less
Step-by-step explanation:
10 = 10
1/2 < 3/4
1/2 = 50%
3/4 = 75%
Answer:
10 1/2 is less than 10 3/4
Step-by-step explanation:
10 1/2 is 10.5
10 3/4 is 10.75
What is the product?
[tex] \frac{5}{4 {k}^{2} } [/tex]
Answer:5/4k^2
Step-by-step explanation:
5k/6 x 3/2k^3
(5k x 3) ➗ (6 x 2k^3)
15k/12k^3=5/4k^2
what is the fraction for 4.5
Answer:
4 [tex]\frac{1}{2}[/tex]
OR
[tex]\frac{9}{2}[/tex]
Step-by-step explanation:
I'm not exactly sure which type of fraction you're asking for, so I'll put both.
This would be the fraction for 4.5 because the 0.5 is half of 1, while we already have a whole number, being 4.
OR
9 divided by 2 is 4.5, making the fraction for 4.5, [tex]\frac{9}{2}[/tex]
Answer:
9/2
Step-by-step explanation:
Brokers generally agree that bonds are a better investment during times of low interest rates than during times of high interest rates. A survey of executives during a time of low interest rates showed that 57% of them had some retirement funds invested in bonds. Assume this percentage is constant for bond market investment by executives with retirement funds. Suppose interest rates have risen lately and the proportion of executives with retirement investment money in the bond market may have dropped. To test this idea, a researcher randomly samples 220 executives who have retirement funds. Of these, 93 now have retirement funds invested in bonds. For α = .10, does the test show enough evidence to declare that the proportion of executives with retirement fund investments in the bond market is significantly lower than .57?
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image for the step by stem explanation to the question
10.15 + 31.60 + 34.75 + 40 + 69.25 + 54.75 =
Answer:
The sum of 10.15 + 31.60 + 34.75 + 40 + 69.25 + 54.75 equals to 185.75
Step-by-step explanation:
10.15 + 31.6 + 34.75 + 40 + 69.25
= 41.75 + 104 + 40
= 145.75 + 40
= 185.75
Alternate forms:
743/4 , 185 3/4
\frac{743}{4} 185\frac{3}{4}
Answer:
240.5
Step-by-step explanation:
A bag contains 50 marbles, 28 red ones and 22 blue ones. A marble is picked at random from the bag. 17 What is the probability of picking a red marble after a blue marble had been picked first and not replaced?
After a blue marble is drawn and not replaced, the probability of drawing a red marble from the bag containing initially 28 red and 22 blue marbles is 9/16.
Explanation:The question is asking for the probability of picking a red marble after a blue marble has been picked first and not replaced. The bag originally contains 50 marbles, 28 red ones, and 22 blue ones. After removing one blue marble, there would be 27 red marbles and 21 blue ones left, making a total of 48 marbles.
To find the probability of now drawing a red marble, we divide the number of red marbles by the new total number of marbles:
Probability = Number of Red Marbles / Total Number of Marbles
Probability = 27 / 48
Probability = 9 / 16
Therefore, the probability of drawing a red marble after having already drawn a blue marble and not replacing it is 9/16.
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given a1 = 3645 and a6 = 15, find a3
Answer:
[tex]a_{3} = 405[/tex]
Step-by-step explanation:
A geometric sequence is based on the following equation:
[tex]a_{n+1} = ra_{n}[/tex]
In which r is the common ratio.
This can be expanded for the nth term in the following way:
[tex]a_{n} = a_{1}r^{n-1}[/tex]
In which [tex]a_{1}[/tex] is the first term.
In this question:
[tex]a_{1} = 3645, a_{6} = 15[/tex]
Applying the equation:
[tex]a_{6} = a_{1}r^{6-1}[/tex]
[tex]a_{6} = a_{1}r^{5}[/tex]
[tex]3645r^{5} = 15[/tex]
[tex]r^{5} = \frac{15}{3645}[/tex]
[tex]r^{5} = \frac{1}{243}[/tex]
[tex]r = \sqrt[5]{\frac{1}{243}}[/tex]
[tex]r = \frac{1}{3}[/tex]
So
[tex]a_{n} = 3645 \times (\frac{1}{3})^{n-1}[/tex]
[tex]a_{3} = 3645 \times (\frac{1}{3})^{3-1} = 405[/tex]
A square has sides of length 2 inches. What is it’s perimeter centimeters ? [1 in. = 2.5 cm]
Answer:
20 cm.
Step-by-step explanation:
First, find the perimeter in inches. Since it's a square and all 4 sides are the same, you can multiply 2 x 4 to find the perimeter of 8. Now, convert it to cm by multiplying 8 by 2.5. 8 x 2.5 is 20 cm.
what number is between 1/6 and 1/4?
Answer:
5/24
Step-by-step explanation:
First, we want to get a common denominator, so we multiply them together.
The 2 new fractions are. . .
4/24 (1/6) and 6/24 (1/4)
Now, if you are looking for the number between 4/24 and 6/24, the answer is 5/24.
1. How many solutions does the following equation have?
3x + 9 + 14x = 4x + 5
No solutions
Exactly one solution
Infinitely many solutions
Answer:
no solutions
because it
Step-by-step explanation:
Yet another variation: A better packet switched network employs the concept of acknowledgment. When the end user’s device receives a packet correctly it sends an acknowledgment to the sender. Here too, a packet is received correctly with probability p, but the sender keeps sending copies of a given packet until a copy is correctly received (signaled by acknowledgment). Let random variable N be the number of times the same message packet is sent. a) Find the PMF PN (n).
Answer:
P(N = n) = [tex](1-P)^{n-1} \times P[/tex]
Step-by-step explanation:
to find out
Find the PMF PN (n)
solution
PN (n)
here N is random variable
and n is the number of times
so here N random variable is denote by the same package that is N (P)
so here
probability of N is
P(N ) = Ф ( N = n) .................. 1
here n is = 1, 2,3, 4,...................... and so on
so that here P(N = n) will be
P(N = n) = [tex](1-P)^{n-1} \times P[/tex]
8x-9x please help I need it bad
Answer:
-x
Step-by-step explanation:
8x - 9x
Factor out an x
x(8-9)
x (-1)
-x
Explain the steps involved in adding two rational
expressions.
Answer:
Factor the denominators of each expression to find the LCD.
Rename each expression, if needed, by multiplying by a form of one to get the LCD.
Add the numerators, keeping the denominators the same.
If possible, simplify by factoring the numerator and dividing out common factors from both the numerator and denominator.
Step-by-step explanation:
If the assignment your working on is Explaining How to Add Rational Expressions, this is correct according to edg... Good Luck!!!
Suppose that n units are randomly sampled and x number of the sampled units are found to have the characteristic of interest. A survey of n = 540 pet owners revealed that x = 243 buy their pets holiday presents. For p = proportion of pet owners who revealed that they buy their pets holiday presents, provide a point estimate of p and determine its 95% error margin. Carry out all calculations exactly, round the final answers only. Point estimate =
Answer:
The point estimate is 0.45.
The 95% error margin is 0.042 = 4.2 percentage points.
Step-by-step explanation:
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]1-\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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Point estimate
We have that [tex]n = 540, x = 243[/tex]
So the point estimate is:
[tex]\pi = \frac{243}{540} = 0.45[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Error margin:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.45*0.55}{540}}[/tex]
[tex]M = 0.0420[/tex]
The 95% error margin is 0.042 = 4.2 percentage points.
How many times larger is the value of 0.75 than the value of 0.0075
i need 4. asap thank you ❤️
Answer:
4 is 133
Step-by-step explanation:
Simple 180-47 is 133
Answer:
They are both acute angles
Step-by-step explanation:
plz mark brainliest
Carmen is planning rail lines for a new train station. Help her find m<1. Explain how you found that solution. Parallel lines a and b are cut by transversal t to form 8 angles. Clockwise from top left, the angles formed with line a are blank, 17 degrees, 2, blank; with line b are 1, blank, blank, blank.
Answer:
m<1 =163 degrees163,17,163,17 (all in degrees)163,17,163,17 (all in degrees)Step-by-step explanation:
I have reproduced and attached a diagram (in figure 1) of the problem.
For ease of understanding, I have attached a second diagram which is labelled.
On line a
17+<CBE=180 (Linear Pair Postulate)
m<2=<CBE=180-17=163 degrees
<ABG=<CBE=163 degrees (Vertically Opposite Angles)
<ABE=<GBC= 17 degrees(Vertically Opposite Angles)
On line b
m<1=<DEB=<ABG=163 degrees (Corresponding Angles)
<BEF=<GBC= 17 degrees (Corresponding Angles)
<HEF=<DEB=163 degrees (Vertically Opposite Angles)
<DEH=<BEF=17 degrees (Vertically Opposite Angles)
Therefore:
m<1 =163 degreesClockwise from top left, the angles formed with line a are: 163 degrees, 17 degrees, m<2=163 degrees and 17 degrees.Clockwise from top left, the angles formed with line b are: m<1=163 degrees, 17 degrees, 163 degrees, and 17 degrees.Answer:
Sample response: Angle 2 is a supplementary angle with 17°, so m∠2 = 163°. Since ∠1 and ∠2 are alternate interior angles of parallel lines, they are congruent, and the m ∠1 = m ∠2. Thus, m∠1 = 163°.
Step-by-step explanation:
PLZ GIVE BRAINLIEST!!!!!!!!!!!!!
Which step should richard perform last? Will choose brainliest. Any absurd answers will be reported.
Answer:
A
Step-by-step explanation:
Our equation is: 9² + 2[(5 + 2)² - 4]. We need to use PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction.
The first thing to do is to add the 5 and 2 in the parentheses:
9² + 2[(5 + 2)² - 4]
9² + 2[(7)² - 4]
Then square the 7:
9² + 2[(7)² - 4]
9² + 2[49 - 4]
Do the subtraction operation within the parentheses/brackets:
9² + 2[49 - 4]
9² + 2[45]
Square 9:
9² + 2[45]
81 + 2[45]
Multiply 2 by 45:
81 + 2[45]
81 + 90
Thus, the answer is A.
Answer:
A
Step-by-step explanation:
9² + 2[(5+2)² - 4]
81 + 2[(7)² - 4]
81 + 2[49 - 4]
81 + 2(45)
81 + 90
What is the y-intercept of this quadratic function?
f(x)=-x2+10x-22
Answer:
The y intercept is (0,-22)
Step-by-step explanation:
To find the y intercept, set x =0 and solve for y
f(0)=-0^2+10*0-22
= -22
Final answer:
To find the y-intercept of a quadratic function, substitute x = 0 into the function and calculate the value. In this case, the y-intercept of the function [tex]f(x) = -x^2 + 10x - 22[/tex] is at y = -22.
Explanation:
The y-intercept of a quadratic function is the point where the graph intersects the y-axis, and it occurs when x = 0. To find the y-intercept of the quadratic function [tex]f(x) = -x^2 + 10x - 22[/tex], substitute x = 0 into the function.
Replace x with 0: f(0) =[tex]-(0)^2 + 10(0) - 22[/tex]
Calculate the value: f(0) = 0 + 0 - 22 = -22
Therefore, the y-intercept of the quadratic function is at y = -22.
A random sample of 4"4 fields" of barley has a mean yield of "49.6"49.6 bushels per acre and standard deviation of 7.997.99 bushels per acre. Determine the 99%99% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value that should be used in constructing the interval is T = 5.8408.
The 99% confidence interval for the true mean yield is between 2.943 bushels per acre and 96.268 bushels per acre.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the students t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 4 - 1 = 3
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 5.8408. This is the critical value.
The margin of error is:
M = T*s = 5.8408*7.99 = 46.668 bushels per acre
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 49.6 - 46.668 = 2.943 bushels per acre.
The upper end of the interval is the sample mean added to M. So it is 49.6 + 46.668 = 96.268 bushels per acre.
The 99% confidence interval for the true mean yield is between 2.943 bushels per acre and 96.268 bushels per acre.
Which step should Richard perform last. WILL MARK BRAINLIEST PLZ HELP. ASAP.
Answer:
81+90
Step-by-step explanation:
9^2 + 2[(5+2)^2 -4]
PEMDAS says parentheses first , working inside out
9^2 + 2[(7)^2 -4]
PEMDAS says parentheses first, doe the exponents inside the parentheses
9^2 + 2[49 -4]
Then the subtraction inside the parentheses
9^2 + 2[45]
Then Exponents
81 +2[45]
Then Multiplication
81+90
Finally add
Answer:
A
Step-by-step explanation:
9² + 2[(5+2)² - 4]
81 + 2[(7)² - 4]
81 + 2[49 - 4]
81 + 2(45)
81 + 90
171
124
Make the equation 28 x 1/7 = 4 into a division equation
PLEASE ANSWER FAST!!!!