Answer:
I think it is 145 degrees because 180- 35= 145
Step-by-step explanation:
The botanist would like to estimate the average weight of mustard seeds grown in a certain type of soil; weight of the seeds is known to follow a normal distribution. The botanist collects a random sample of 10 mustard seeds and finds that the sample average and sample standard deviation are 528 mg and 49 mg respectively. Select from the following the correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data.
a. (480.1, 539.9)
b. (525.2, 534.8)
c. (479.4, 540.6)
d. (473.6, 546.4)
e. The necessary assumptions have not been satisfied and the calculation cannot be performed.
f. (469.4, 550.6)
Answer:
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
T interval
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 = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg
The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
1
Questão 10 - Um capital aplicado a
umos simples durante 2 anos, sob
taxe de juros de 5% ao mês, gerou
um montante de R$ 26.950,00.
valor do capital
aplicado
Answer:
2,995 or 35,940(?)
Step-by-step explanation:
I don't exactly remember how to do this so, I'll show you two different ways I solved this
Use the formula I=P*r*t
I=Interest
P=Principal
r=rate
t=time
To solve this you'll have to...
The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2
Put it into the formula form 29,950*0.05*2= 2,995 in interest
Or...
You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...
29,950*0.6*2=35,940 in interest
I hope one works!
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HEEEEEEEEEEEELLLLLLLLLLLLLPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
theyre vertical angles and x is 16
Step-by-step explanation:
7x+16=128
7x=128-16
7x=112
x=112/7
x=16
hope i helped! mark as brainliest pls <3
Answer:
Vertical x = 16
Step-by-step explanation:
(7x + 16) = 128
7x = 128 - 16 ------- 7x = 112
x = 112 ÷ 7
x = 16
Deandre is going bowling with some friends. He pays $5 to rent a pair of bowling shoes and $7 per game, g. If Deandre spent $26, how many games, g, did he play?
What is the equation the represents this situation and what is the amount of games that he played?
PLEASE HELP!
Answer:
3
Step-by-step explanation:
he spend 26 dollars and bought the shoes for 5 dollars
26-5=21 so therefore you have to divide the amount of money per game
26÷7=3
E
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1
Write an equation in slope intercept form for the following graph.
--
1
Answer: (-4 ,4)
Step-by-step explanation:
i have $2 in my pocket what might be in my pocket (number puzzle)
Answer:
$2
Step-by-step explanation:
What is the expression?
Answer:
4.5x + 3.5
Step-by-step explanation:
Area = L x W so:
A = 4.5(x + 3)
A = 4.5x + 3.5
Suppose m varies directly as the square of n.
If m = 187.2 when n = 12, what is m when n = 20?
I need help quick, I don't understand this question.
Right or Possible Right answers, I just need an answer.
The price of an item has been reduced by 35%. The original price was $25.
Step-by-step explanation:
what thanks for free points btw
Answer:
not sure ans sorry if its wrong but i think its 8.75
Someone PLEASE HELP ME WITH THIS IM IN A HURRY PLEASE
Answer:
A
Step-by-step explanation:
A
Multiply the following binomials and simply your answer
Which of the following is equivalent to the complex number i24?
Answer: 1
Step-by-step explanation:
Rewrite as (i^4)^6
Rewrite i^4 as 1
Rewrite i^4 as (i^2) ^2
((i^2)) ^2)6
Rewrite i^2 as -1
((-1) ^2) 6
Raise -1 to the power of 2
1^6
One to any power is 1.
what is the measure of arc EDC?
Answer:
139°
Step-by-step explanation:
FG must equal 16. We have to assum DG is a straight line.
2x+90+74+82+16=360
2x=98
x=49 (DAC and CAB)
90+49=139
8. Which situation is best modeled by an exponential function?
A The number of mold spores on a loaf of bread, if the amount of mold is quadrupling every 5 days.
B. The amount of tip a person will leave if he or she tips 20% of a food bill.
C. The value of a baseball card that is decreasing by $0.75 every 4 years.
D. The cost to purchase salmon that costs $8.99 per pound.
If answered soon i will give brainliest
Answer:
C. The value of a baseball card that is decreasing by $0.75 every 4 years.
Step-by-step explanation:
The exponential function would represent a mathematical function in the form of f(x) = a^x
where
x denotes the variable
a denotes the constant
So according to the given options, the option C would represent the exponential function
Hence, the option c is correct
400 UCF students were randomly selected and asked if they preferred washing their hands with soap and water or using hand sanitizer. 102 said they prefer to use hand sanitizer. 400 USF students were randomly selected and asked the same question. 112 said they prefer to use hand sanitizer. You want to examine the difference in the proportion of all UCF (1) and USF (2) students who prefer to use hand sanitizer.
1. Which test should be used to determine if a difference exists between the proportion of all UCF and USF students who prefer to use hand sanitizer?
a. z test for means t test for means.
b. z test for proportions paired.
c. z test for means.
d. paired t test for means.
2. Which alternative hypothesis should be used to determine if a difference exists between the proportion of all UCF and USF students who prefer to use hand sanitizer?
A. HA : mu1 - mu2 < 0.
B. HA : mu1 - mu2 is not equal to 0.
C. HA : mu1 - mu2 > 0.
D. HA : p1 - p2 < 0.
E. HA : p1 -p2 > 0.
Answer:
1. a. z test for means and t test for means.
2. C. HA : mu1 - mu2 > 0
Step-by-step explanation:
Hypothesis testing is used in a situation where there are more than 1 alternative available. The t test is conducted in the mean which determines the t value and then this value is compared with p value to identify the situation whether to accept or reject the null hypothesis. The alternative hypothesis in this situation is is represented by mu.
Directions: Read each problem, then solve for the missing part(s).
13. A pilot flying over the Norfolk airport is told he will have to redirect and land in either Richmond or
Raleigh. Due to air traffic, he is then told he must land in Raleigh. Find the distance he will travel.
I have attached an image showing the triangle with angle and distance depicted in the question.
Answer:
151 miles
Step-by-step explanation:
We have to first find the unknown angle in the triangle.
Sum of angles in a triangle is 180°.
Thus, if we call angle at Norfolk A, we have;
A = 180 - (83 + 31)
A = 66°
Using sine rule, we can find the distance which we will term as a.
Thus;
a/sin 83 = 139/sin 66
a = (139 × sin 83)/sin 66
a = 137.963915/0.913545
a ≈ 151 miles
Solve the following equation by first writing the equation in the form ax^2 = C:
t² - 490
a. t = 49
b. t = +49
C. t = 7
d. t = +7
Answer: c.) t = 7
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
edge 2021
Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?
Answer:
six children
Step-by-step explanation:
six children in four groups, total of 24 children
24/4=6
Answer:
6
Step-by-step explanation:
because 24÷4=6 that is the answer
Describe the rays of an angle that measures1/2 turn
Answer:
Step-by-step explanation:
2.719 I don really know tho
what is the range of h
Answer:
-4 to 6
Step-by-step explanation:
The range is the y-axis, unlike the domain which is on the x-axis. So th points would go from -4, the lowest point, to 6 the highest point. If you need to specify, say intervals of 2 as -4 goes to -2, and 2 goes to 4.
You want to order one milkshake. The Ice Cream Shop will not allow you to mix flavors. How many ways could you order a milkshake?
Answer:
15 ways
Step-by-step explanation:
3 sizes x 5 flavors = 15 combinations
Answer:
15
Step-by-step explanation:
if you can make 3 sizes for each flavor and there are 5 flavors then there are 15 ways to get a milkshake 3x5=15
The arc length of this circle is 9.42 inches. Determine the length of the radius.
Complete your work in the space provided.
Answer:
Radius = 5.996958 (They probably just want “6”).
Step-by-step explanation:
9.42x4=37.68 (perimeter)
Perimeter=2[tex]\pi[/tex]r
37.68÷2[tex]\pi[/tex]=r
5.996958=r
Please solve this :)
Answer:
=25+2squared
Step-by-step explanation:
simple like terms
36-11=25
-5squared+7squared=2squared
=25+2squared
Answer:
49
Step-by-step explanation:
[tex]36 - {5}^{2} + {7}^{2} - 11[/tex]
[P.E.D.M.A.S rule] (First exponents)
= 36 - 25 + 49 - 11. (Then addition)
= 36 + 49 - 25 - 11
= 85 - 36. (At last subtraction)
= 49 (Ans)
Given the function C(t) = (t - 2)(t + 6) (t - 4):
the coordinates of its C-intercept are
the coordinates of its t-intercepts are
Answer:
c*(t)-((t-2)*(t+6)*(t-4))=0
Step-by-step explanation:
ct - ((t - 2) • (t + 6) • (t - 4)) = 0
ct - (t - 2) • (t + 6) • (t - 4) = 0
3.1 ct-t3+28t-48 is not a perfect cube
ct - t3 + 28t - 48 = 0
Solve ct-t3+28t-48 = 0
A boat travels 20 miles in 5 hours
(with a constant speed). How far can it
travel in 53 hours (with the same
speed)?
Answer:
212 miles
Step-by-step explanation:
the boat is going 4mph so in 53 hours it would be 212mi
Three people go out to lunch. They decide
to share the $69.00 bill evenly. How much
does each person pay?
Answer:
$23.00 each
Step-by-step explanation:
$69 / 3 people = $23 from each person
441-p²=(21)²-(17)²
maths algebra
Step-by-step explanation:
hope it will help you......
Answer:
p = 17
Step-by-step explanation:
→ Expand out (21)² - (17)²
21² = 441 and 17² = 289 therefore 441 - 289 = 152
→ Plug value back into equation
441 - p² = 152
→ Minus 441 from both sides
- p² = -289
→ Square root both sides
p = 17
Find the area of the triangle pictured above.
Answer:
24.5
Step-by-step explanation:
7^2=49
49/2=24.5
A certain process for manufacturing integrated circuits has been in use for a period of time, and it is known that 12% of the circuits it produces are defective. A new process that is supposed to reduce the proportion of defectives is being tested. In a simple random sample of 100 circuits produced by the new process, 11 were defective.
a. If the proportion of defectives in the sample is less than 12%, it is reasonable to conclude that the new process is better.
1. True
2. False
b. If the proportion of defectives in the sample is only slightly less than 12%, the difference could be due entirely to sampling variation, and it's not reasonable to conclude that the new process is better.
1. True
2. False
c. If the proportion of defectives in the sample is a lot less than 12%, it is very unlikely that the difference is due entirely to sampling variation, so it is reasonable to conclude that the new process is better.
1. True
2. False
Answer:
a. If the proportion of defectives in the sample is only slightly less than 12%, the difference could be due entirely to sampling variation, and it's not reasonable to conclude that the new process is better
b. True
c. True
Step-by-step explanation:
a. The percentage of defective circuits produced = 12%
Given that the percentage of defective circuits produced in the new process is 11% which is only slightly less than the observed 12%, the difference may be due to variation in the sample, as another sample of 100 in the new process cold produce more than 11 defective circuits
b. True. In every sample, there is a slight variation which can account for the difference
c. Given that the defectives in the sample is considerably less than 12%, then it would be more statistically evident that there is a difference in the two processes and the new process can be considered reasonably better
Therefore, the answer is; True