Answer:
P(0 female undergraduate takes on debt) ;
0.00635
Step-by-step explanation:
Probability of taking on debt, p = 0.43
q = 1 - p = 1 - 0.43 = 0.57
Number of samples, number of trials, n = 9
To obtain the probability that none of the female undergraduate take on debt :
P(0 female undergraduate takes on debt)
P(x = 0) ; using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 0) = 9C0 * 0.43^0 * 0.57^(9-0)
P(x = 0) = 9C0 * 0.43^0 * 0.57^9
P(x = 0) = 1 * 1 * 0.006351461955384057
P(x = 0) = 0.006351461955384057
P(x = 0) = 0.00635
There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm. What is the probability that the first machine produces an acceptable cork
Answer:
0.6827
Step-by-step explanation:
Given that :
Mean, μ = 3
Standard deviation, σ = 0.1
To produce an acceptable cork. :
P(2.9 < X < 3.1)
Recall :
Z = (x - μ) / σ
P(2.9 < X < 3.1) = P[((2.9 - 3) / 0.1) < Z < ((3.1 - 3) / 0.1)]
P(2.9 < X < 3.1) = P(-1 < Z < 1)
Using a normal distribution calculator, we obtain the probability to the right of the distribution :
P(2.9 < X < 3.1) = P(1 < Z < - 1) = 0.8413 - 0.1587 = 0.6827
Hence, the probability that the first machine produces an acceptable cork is 0.6827
Suppose that, in the past, 40% of all adults favored capital punishment. Do we have reason to believe that the proportion of adults favoring capital punishment today has increased if, in a random sample of 15 adults, 8 favor capital punishment? Use a 0.05 level of significance.
Answer:
The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.
Step-by-step explanation:
Suppose that, in the past, 40% of all adults favored capital punishment. Test if the proportion has increased:
At the null hypothesis, we test if the proportion is still of 40%, that is:
[tex]H_0: p = 0.4[/tex]
At the alternative hypothesis, we test if the proportion has increased, that is, is greater than 40%, so:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that [tex]\mu = 0.4, \sigma = \sqrt{0.4*0.6}[/tex]
Random sample of 15 adults, 8 favor capital punishment.
This means that [tex]n = 15, X = \frac{8}{15} = 0.5333[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5333 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{15}}}[/tex]
[tex]z = 1.05[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion of 0.5333 or more, which is 1 subtracted by the p-value of z = 1.05.
Looking at the z-table, z = 1.05 has a p-value of 0.8531.
1 - 0.8531 = 0.1469.
The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.
Help please guys thanks
Answer:
D
Step-by-step explanation:
sqrt_{4}(81)^5=(81^(5))^(1/4)=81^(5/4)
Answer:
D
Step-by-step explanation:
if it was properly typed, it would have been All of the above but the most correct option is D.
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.
Step 1 of 2: Suppose a sample of 2845 tenth graders is drawn. Of the students sampled, 2276 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Step 2 of 2: Suppose a sample of 2845 tenth graders is drawn. Of the students sampled, 2276 read above the eighth grade level. Using the data, construct the 99% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Answer:
Step 1: The estimate the proportion of tenth graders reading at or below the eighth grade level is 0.2.
Step 2: The 99% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.181, 0.219).
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 2845 tenth graders is drawn. Of the students sampled, 2276 read above the eighth grade level.
So 2845 - 2276 = 569 read below, and the estimate of the proportion of tenth graders reading at or below the eighth grade level is:
[tex]\pi = \frac{569}{2845} = 0.2[/tex], and the answer to step 1 is 0.2.
The sample size is [tex]n = 2845[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 2.575\sqrt{\frac{0.2*0.8}{2845}} = 0.181[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 2.575\sqrt{\frac{0.2*0.8}{2845}} = 0.219[/tex]
The 99% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.181, 0.219).
The prices of paperbacks sold at a used bookstore are approximately Normally distributed, with a mean of $7.85 and a standard deviation of $1.25.
Use the z-table to answer the question.
If the probability that Joel randomly selects a book in the D dollars or less range is 56%, what is the value of D?
$4.46
$7.75
$8.04
$8.10
(C) 8.04
Answer:
The answer you want is indeed, (C).
8.04
ED2021
Answer:
C) 8.04
Step-by-step explanation:
edge 2023
Hi I need help this is a FOIL problem
Answer:
you should be able to find the mistake if you know FOIL well
Step-by-step explanation:
F: first digit in both binomials
O: outermost digits in both binomials
I: two most innermost digits
L: last two digits in both binomials
Solve this pleaseeeeeeeeeee
Answer:
10d
Step-by-step explanation:
5d on 1 side, double it to get 10d cuz from Point O to Point D, y increases from 0 to 5d and since the triangles are congruent, we can add another 5d (or in total 10d).
On the set of axes below, solve the following system of equations graphically and state the coordinates of all points in the solution set.
X1=-2 and x2=1
You would just need to plug the first y equation value into the 2nd equation to get what I got in the photo. Then solve for the x’s to get the coordinates.
Which one is it------------------
Answer:
you're right
Step-by-step explanation:
As the number of copies increases, the dimensions of the images continue to decrease but never reach 0. Option A is correct.
As of the given statement,
Both copy machines reduce the dimensions of images that run through the machines. which statment is true is to be justified.
In mathematics, dimensions are the measurements of the size or distance of an item, region, or space in one direction. In layman's words, it is the measurement of something's length, width, and height. Length is the most commonly used dimension.
here,
Both copy machines diminish the size of images that pass through them. Which statement is correct must be justified. So, As the number of copies increases, the image dimensions drop but never reach zero.
Thus, the image dimensions decrease as the number of copies grows, but never reaches zero.
Learn more about dimensions here:
https://brainly.com/question/28688567
#SPJ2
How many minutes will the bus take to complete the trip If a bus completes half a trip at 40 km per hour and the other half at 50 20. if the whole trip was 60 k.m. ?
Answer:
The bus will take 81 minutes to complete the trip.
Step-by-step explanation:
To determine how many minutes will the bus take to complete the trip if a bus completes half a trip at 40 km per hour and the other half at 50 km per hour, and the whole trip was 60 km, the following calculation must be performed:
60/2 = 30
30/40 = 3/4 of an hour = 45 minutes
30/50 = 3/5 of an hour = 36 minutes
45 + 36 = 81
Therefore, the bus will take 81 minutes to complete the trip.
give an example of a piecewise function
Answer:
f(x) = 6 when -5 < x ≤ -1
Step-by-step explanation:
what is the answer to EVAULATE 8+-9+-6
Answer:
11
Step-by-step explanation:
8 + 9 + -6
8 + 9 = 17
17 + (-6) = 11
Answered by Gauthmath
Determine whether the following events are mutually exclusive. Choosing a student who is a French major or a chemistry major from a nearby university to participate in a research study. (Assume that each student only has one major.)
A. Mutually Exclusive
B. Not Mutually Exclusive
Answer:
A. Mutually Exclusive
Step-by-step explanation:
Mutually exclusive events:
Two events are mutually exclusive if they cannot happen together, that is, supposing the events are A and B:
[tex]P(A \cap B) = 0[/tex]
Choosing a student who is a French major or a chemistry major
Since each student only has one major, the student cannot be both a French and a Chemistry major, that is, [tex]P(A \cap B) = 0[/tex], so they are mutually exclusive and the correct answer is given by option A.
find the equation of Straight line which passes through the point A(-5,10) makes equal intercept on both axes.
Answer:
y = -x + 5
Step-by-step explanation:
The point is in quadrant 2, so the line must pass through points that look like (a, 0) and (0, a) where a is a positive number. The slope of such a line is -1.
If (x, y) is a point on the line, then the slope between points (x, y) and (-5, 10) is 1, and you can write
[tex]\frac{y-10}{x-(-5)}=-1\\y-10 = -1(x+5)\\y-10=-x-5\\y=-x+5[/tex]
Which number shows four hundredths
.004 .04 .400 4.00
Answer:
hello the answer is .04/0.04
Answer:
.04 is four hundredths
Step-by-step explanation:
I hope this helps
Which expression is equivalent to (3 squared) Superscript negative 2?
Answer:
–81
Step-by-step explanation:
write the greatest and smallest four digit number by using 7,8,0,9 digit
Find the value of X. Round to the
nearest tenth.
Answer: 8.1
Step-by-step explanation:
4^2 + X^2 = 9^2
16 + X^2 = 81
X^2 = 81-16
X = sqrt 65 = 8.1
A dairy needs 230 gallons of milk containing 6% butterfat. How many gallons each of milk containing 8% butterfat and milk containing 3% butterfat must be used to obtain the desired 230 gallons?
Answer:
138 gallons - milk containing 8% butterfat , 92 gallons - milk containing 3% butterfat
Step-by-step explanation:
Firstly, find the quantity of butterfat in the dairy needs of milk
230/100*6= 2.3*6=13.8 gallons of butterflat
1) Consider gallons each of milk containing 8% butterfat and milk containing 3%, suppose we need x gallons of milk containing 8 percents butterfat, then we need 230-x gallons of milk containing 3percent butterfat.
Then the quantity of the butterfat in the 8percents fat milk is x/100*8= 0.08x
the quantity of the butterfat in the 3percents fat milk is (230-x)/100*3=
=0.03 (230-x) = 6.9-0.03x The amount of butterfat of the both milk containing 8% butterfat and milk containing 3%is equal to 13.8 gallons
Then 0.08x+6.9-0.03x=13.8
0.05x=6.9
x=6.9/0.05= 138 -milk 8 percents
230-x= 230-138= 92
Find the measure of one interior angle of a regular 7-gon
Answer:
128.57 degrees
Step-by-step explanation:
To find the measure of an interior angle of a regular polygon with [tex]n[/tex] sides, we can use the formula: [tex]\frac{180(n-2)}{n}[/tex]
To find the measure of an interior angle of a polygon with 7 sides, all we have to do is plug in 7 into the formula:
[tex]\frac{180(7-2)}{7}[/tex]
7 minus 2 equals 5, so the answer is
[tex]180(5)[/tex]÷[tex]7[/tex]
180 times 5 is equal to 900, and 900 divided by 7 is approximately 128.57
HELP PLEASE AND BE CORRECT
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Each point moves to 3 times its original distance from P.
A is 2 up and 1 left of P, so A' will be 6 up and 3 left of P.
B is 1 down and 2 left of P, so B' will be 3 down and 6 left of P.
C is 2 right of P, so C' will be 6 right of P.
Convert 2546 in base 10 to base 5
Answer:
40141
Step-by-step explanation:
need help asap (giving brainliest)
Answer:
hhhhjhgbbbjjhjjjjjkkkkkkkk
Answer:
Step-by-step explanation:
Q1. Sobey's is the best deal
In Food Basics, having the two loaves of bread costing 4.88 would mean that (4.88 / 2) one would cost 2.44.
To find out how much three would cost, multiply 2.44 by three, and the result is 7.32, which is higher than the three loves of bread that costs 7.20 in Sobey's, which Sobey's has a better deal. 7.20 / 3 = 2.40, yet Food Basics does cost higher by 4 cents for just one.
I am not too sure about question 2, but I do hope the above question helps!
find the missing length indicated
explainion:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Use The (Pythagorean Theorem) to find the length of any side of a right triangle. Form it like its shown in picture above. Follow the instructions that also shown in the picture above.
Your car can go 2/7 of the way on 3/8 of a tank of gas how far can you go on the remaining gas?
A proportion that can be used is a/b=c/d
Answer:
10/21 of the distance
Step-by-step explanation:
2/7 distance
------------------
3/8 tank
The rest of the tank is 8/8 - 3/8 = 5/8
2/7 distance x
------------------ = ----------------------
3/8 tank 5/8 tank
Using cross products
2/7 * 5/8 = 3/8x
10/56 = 3/8x
Multiply each side by 8/3
10/56 * 8/3 = 3/8x * 8/3
10/3 * 8/56=x
10/3 * 1/7 =x
10/21 =x
10/21 of the distance
poonam wants to invest in an account today
to have $4000 at the end of 8 years.
If she can invest at 4.25% Compounded
Semi-annually, how much does she need
to invest?
Answer:
2055.15
Step-by-step explanation:
A(1+r)^n=4000
A is the money that she need to invest
r is rate
n is the time( depend on monthly or yearly rate)
A(1+4.25%)^16=4000
A=2055.15
which of the rolling equations have exactly one solutions ?
ps: (click the picture to see answer choices)
Answer:
All have exactly one solution
Step-by-step explanation:
a) -13x + 12 = 13x - 13
+13x +13x
-------------------------------
12 = 26x - 13
+13 +13
-------------------
25 = 26x
----- ------
26 26
25/26 = x
b) 12x + 12 = 13x - 12
-12x -12x
-----------------------
12 = x - 12
+12 +12
-----------------
24 = x
c) 12x + 12 = 13x + 12
-12x -12x
-----------------------------
12 = x + 12
0 = x
d) -13x + 12 = 13x + 13
+13x +13x
-----------------------------
12 = 26x + 13
-13 -13
-----------------------
-1 = 26x
--- -----
26 26
-1/26 = x
PLEASE HELP LOOK AT PICTURE
Find the dimensions of a rectangle with perimeter 108 m whose area is as large as possible. (If both values are the same number, enter it into both blanks.) m (smaller value) m (larger value)
Answer:
27 by 27
Step-by-step explanation:
Let the sides be x and y. The problem is essentially asking:
Given 2(x+y)=108, maximize xy.
We know that x+y=54. By the Arithmetic Mean - Geometric Mean inequality, we can see that [tex]\frac{x+y}{2} \ge \sqrt{xy[/tex]. Substituting in x+y=54, we get [tex]27\ge\sqrt{xy}[/tex], meaning that [tex]729 \ge xy[/tex]. Equality will only be obtained when x=y (in this case it will generate the maximum for xy), so setting x = y, we can see that x = y = 27. Hence, 27 is the answer you are looking for.
Suppose you obtain a chi-square statistic of 67.81. Are your results statistically significant if the critical value obtained from the distribution of chi-square is 3.84 with an alpha level of .05? Explain.
Answer:
Result is statistically significant.
Step-by-step explanation:
Given that :
Chisquare statistic, χ² = 67.81
Critical value for the distribution, χ²critical = 3.84
α = 0.05
The Decison region :
If χ² statistic > Critical value ; Reject H0 ; this. Eans that result is statistically significant.
Therefore, since, 67.81 > 3.84 ; This means that the result is statistically significant at 0.05
