Answer:
863
Step-by-step explanation:
From reference sheet.
Plug in values.
Area≈863.465≈863
Evaluate and round.
Consider the probability that fewer than 46 out of 134 students will not pass their college placement exams. Assume the probability that a given student will not pass their college placement exam is 98%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
a. Yes
b. No
Answer:
b. No
Step-by-step explanation:
Binomial approximation to the normal:
Binomial distribution has n trials, with p probability.
If
[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], it can be approximated to the normal distribution.
Assume the probability that a given student will not pass their college placement exam is 98%.
This means that [tex]p = 0.98[/tex]
134 students:
This means that [tex]n = 134[/tex]
Necessary conditions:
[tex]np = 134*0.98 = 131.32 \geq 10[/tex]
[tex]n(1-p) = 134*0.02 = 2.68 < 10[/tex]
Since the necessary condition n(1-p) < 10 is not satisfied, the answer is No, given by option b.
What’s another word for average
Answer:
Normal/standard
Step-by-step explanation:
Answer:
Ordinary
Step-by-step explanation:
21 students are going on a field trip and 3 students are staying at school what is the ratio of the numbers of students who are going on a field trip to the number of students who are staying at school?
Answer:
21/3 or 7/1
Step-by-step explanation:
Answer:
21/3
Step-by-step explanation:
hope this helps you
Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes. Company B is concerned that the mean time is significantly less than 10 minutes. Company B collects the times (in minutes) below for a sample of 17 users. Assume normality. Assume normality.
1.2
2.8
1.5
19.3
2.4
0.7
2.2
0.7
18.8
6.1
6
1.7
29.1
2.6
0.2
10.2
5.1
0.9
8.2
Conduct the appropriate hypothesis test for Company B using a 0.08 level of significance.
1. What are the appropriate null and alternative hypotheses?
a. H0: μ = 10 versus Ha: μ ≠10
b. H0: μ = 10 versus Ha: μ > 10
c. H0: x = 10 versus Ha: x ≠10
d. H0: μ = 10 versus Ha: μ < 10
2. What is the test statistic? Give your answer to four decimal places.
3. What is the critical value for the test? Give your answer to four decimal places.
4. What is the appropriate conclusion?
Answer:
H0 : μ = 10
H1 : μ < 10
Test statistic = - 2.0415
Critical value = -1.4051
There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes
Step-by-step explanation:
The null and alternative hypothesis :
H0 : μ = 10
H1 : μ < 10
The test statistic :
From the data Given, using calculator :
Sample mean, xbar = 6.3
Sample standard deviation, s = 7.90
Test statistic = (xbar - μ) ÷ (s/sqrt(n))
Number of samples given is 19 and not 17 as stated in the question.
Test statistic = (6.3 - 10) ÷ (7.90 / sqrt(19))
Test statistic = - 3.7 / 1.8123842
Test statistic = - 2.0415
The critical value for the test :
At α = 0.08 ;
Critical value = -1.4051
Since, Test statistic is < Critical value ;
-2.0415 < - 1.0451 ; we reject the Null
There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes
Hudson is going to invest $320 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Hudson to end up with $540?
Answer:
5.8
Step-by-step explanation:
The interest rate, to the nearest tenth of a percent, will be 0.05828.
How do you determine the amount of compound interest?If the principal amount is P, the interest rate is R percent per unit time, and the compound interest is left for T units of time, the interest amount gained is:
[tex]\rm CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The total is:
[tex]\rm A = CI + PA = P(1 +\dfrac{R}{ 100})T[/tex]
The amount is found as;
[tex]\rm A = P(1+\frac{r}{n})^{nt}\\\\ 540=320 (1+\frac{r}{12} )^{12\times 9}\\\\ (1+\frac{r}{12})^{108}=\frac{540}{320}\\\\ 1+\frac{r}{12}=(\frac{540}{320})^{\frac{14}{108}[/tex]
[tex]\rm 1+ \frac{r}{12}=1.00486\\\\ \frac{r}{12}=0.00486\\\\ r=12 \times 0.0486 \\\\ r=0.05828[/tex]
Hence, the interest rate, to the nearest tenth of a percent, will be 0.05828.
To learn more about compound interest, refer:
https://brainly.com/question/11897800
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soup is 3 cans for $0.82, so each can of soup is $0.2733. how much does it cost for each one?
help me please!!!
solve a quadratic equation by factoring
solve for g.
g^2-24g+144=0
9514 1404 393
Answer:
g = 12
Step-by-step explanation:
You recognize that 144 is 12², so you check to see if the x-coefficient is 2·12. It is. The quadratic is a square:
(g -12)² = 0
The only solution is the one that makes the squared term equal to zero:
g -12 = 0
g = 12
_____
The square of a binomial is ...
(a +b)² = a² +2ab +b²
Here, we have a=x, b=-12.
6 Melvin and Roberto played football on two different teams last season.
• Melvin's team won w games.
• Roberto's team won 3 fewer games than Melvin's team.
Which expression can be used to represent the number of games Roberto's
team won last season?
Select one answer.
A W + 3
BW-3
CW.3
Dw3
Answer:
B is the answer
Step-by-step explanation:
The number of students that participated in sports last year was 100. This year there are 140 students participating in sports. What is the percent of increase in the number of students participating in sports from last year to this year? __________%
Answer: 40%
Step-by-step explanation:
HOPE THIS HELPS ^^
1. Determine the three-dimensional figure that will be created using the following nets.
Answer:
triangular pyramid
Step-by-step explanation:
Answer:
triangular pyramid
cone
Step-by-step explanation:
30 POINTS FOR BRAINLIEST ANSWER!!!!!!!
A large clock in a town square has a minute hand that is 10 feet long. Which value is the best estimate of
how many degrees the minute hand moves from 4:00 - 4:40?
Answer: 240 degrees
Step-by-step explanation: minute hand makes 360 degree circle in hour.
There is no influence for the length of hand in this case.
40 minutes is 2/3 hours. 2/3 ·360 degrees
Wendy is making potato salad for a picnic. One sack of potatoes weighs 14 pounds.What is the weight of a sack of potatoes in ounces
Answer:
224 ounces
Step-by-step explanation:
1 pound is 16 ounces, 14 multiplied by 16 is 224
every pound equal 16 ounces so 14 × 16 = 224
Help me with this question please!
Answer:
84 in²
Step-by-step explanation:
12+9=21
21x0.5=10.5
10.5x8=84
twice the difference of v and z
Answer:
me
Step-by-step explanation:
becaus im the bes guy
Cynthia says that when you evaluate the expression (21 3/4 + 4 1/2) - 5 3/12 you get a whole number. What whole number do you get?
Answer: 21
Step-by-step explanation:
First, convert the mixed fractions to improper fractions.
(87/4 + 9/2) - 21/4
Next, calculate within the parentheses:
87/4 + 9/2
Next, change the denominator of 9/2 to 4. To do that, multiply the denominator of 9/2 to get 4 to match the denominator of the first fraction. 9/2 * 2/2 = 18/4.
87/4 + 18/4 = 105/4
Then, 105/4 - 21/4 = 84/4
Finally, divide 84 by 4 and you get 21.
make up a new animal that can do some incredible thing. write a short description of that animal and its special capability compared to it's size. write a proportion question regarding your size and what you could be
Answer:
Dragon, legendary monster usually conceived as a huge, bat-winged, fire-breathing, scaly lizard or snake with a barbed tail. The belief in these creatures apparently arose without the slightest knowledge on the part of the ancients of the gigantic, prehistoric, dragon-like reptiles
The ratio of soccer players to baseball players on two school teams is 4 to 7. Which of the following could be the number of players on each team?
Select one:
16 soccer players and 49 baseball players
16 soccer players and 19 baseball players
12 soccer players and 15 baseball players
12 soccer players and 21 baseball players
Answer:
12 soccer players and 21 baseball players
Step-by-step explanation:
Multiply each ratio by the same number
4x3=12 7x3=21
h(x) = 3x + 5
g(x) = 4x – 2
Find h(x) – g(x)
Answer:
6
Step-by-step explanation:
seshhhhh is that dababy. he valid
Guys this is simple question
Who’s fault is it
So it was Easter and my water was at the table and about 7 inches away from the table, then my sister was reaching something competing with my cousin and then she spilled the water on the floor and there was my charger, and I hurried to dry the charger but when I charged it, didn’t work. So it ment it broke.
So who’s fault is it?
What is the solution of the equation?
Answer:
+8 and -8, 2nd answer from the right.
Rewrite 7^-2 using a positive exponent an evaluate the result.
What is the equation of the line that is the perpendicular bisector of the segment
with (10,-15) and (-10, 25) as endpoints?
y= kx + 10
y= kx + 5
y= -x + 10
y = 2x + 5
Answer:
y= kx + 5Step-by-step explanation:
Perpendicular bisector passes through the midpoint of the line.
The midpoint is:
x = (10 - 10)/2 = 0y = (-15 + 25)/2 = 5Slope of the line:
m = (25 - (-15))/(-10 - 10) = -2The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.
Use point-slope form and point (0, 5) to find the equation of the line:
y - 5 = 1/2(x - 0)y = 1/2x + 5Correct option seem B as others don't match ours
Mrs.Hilt’s yard is 48 feet long and 39 feet wide . What is the area of Mrs.Hilt’s back yard?
Answer:
1872
Step-by-step explanation
which of the following is the quotient of the rational expression shown below? x/3x-1 ÷ x-2/2x
Step-by-step explanation:
[tex] \frac{x}{3x - 1} \div \frac{x - 2}{2x} = \\ = \frac{x}{3x - 1} \times \frac{2x}{x - 2} = \\ = \frac{2 {x}^{2} }{3 {x}^{2} - 7x + 2} [/tex]
A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 15 greeting cards indicates an average value of $3.00 and a s of $0.40. The critical value for a 99% confidence interval is
Answer:
The critical value for a 99% confidence interval is T = 2.9768
Step-by-step explanation:
We have the standard deviation of the sample, which means that the t-distribution is used 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 = 15 - 1 = 14
Critical value
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.9768
The critical value for a 99% confidence interval is T = 2.9768
Please please help please
Answer: 72 feet
Step-by-step explanation:
24 yards= 72 feet
Jasmine was expected to get $150 for her bonus, but she only got $100. What was the percent error?
Answer:
Jasmine expected to get $150 for her bonus, but she only got $100. What was the percent error?
-----
Amt of error:: $50
----------
% error:: 50/150 = 1/3 = 33 1/3%
What is 97,000 in scientific notation?
Answer:
9.7 * 10 to power of 4
Step-by-step explanation:
Answer:
Don't know the meaning of this question
Which is the greater decimal?
.721 or .72
Answer:
.721 is bigger because Il earned that the decimal that has a larger number as there last number is the greatest decimal.
Step-by-step explanation: