Answer:
12
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).
Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)
Answer:
0.0144
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both
P(both) = 6/100 * 6/100 = 36/10000 = 0.0036
At Least one
Just One
94/100 * 6/100 = 564/10000 = 0.0564
Both 0.0036
Total 0.06
Please help will give brainliest answer
Find the equation of the line passing through the point (8, -4) and slope -4.
A: y + 4x = 22
B: y + 4x = 28
C: y - 4x = 28
D: y + x = 36
Answer:
y+4x=36
Step-by-step explanation:
the answer isn't in the choice
Which two numbers are exactly 10 units away from 5?
Answer:
-5 and 15
Step-by-step explanation:
10±5 = -5, 15
Help please!!!!!!!!!!
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
m= -3 b= -1 slope intercept form
Answer:
y = -3x-1
Step-by-step explanation:
all u had to do was plug it into y = mx+b
Given that n is an integer, prove that 6 is a factor ofn3+ 5n
Answer:
n3+5n=6
taking common as n
n(5+3)=6
n8=6
Select the correct answer.
Hillary and her friends are trying to decide whether to go bowling or to a movie. Which method could they use to fairly decide which activity they
will do?
A.Flip a coin twice. If the coin lands on heads both times, they will go bowling. If it doesn't, they will go to a movie.
B.Flip a coin twice. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a
movie.
C.Flip a coin three times. If the coin lands on tails all three times, they will go to a movie. If it doesn't, they will go bowling.
D.Flip a coin three times. If the coin lands on heads twice and tails once, they will go to a movie. If it doesn't, they will go bowling.
Answer:
D.
Step-by-step explanation:
I would have to say D is the best answer since then it's truly based on luck and it's almost as if it's being flipped once
Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie.
What is probability?Probability is the ratio that shows the likelihood of an event occurring out of all the other possible events.
Hillary and her friends need to use a fair method to determine which activity to do. For this, the probability should be 1/2. We should observe the given options and find which is the fairer method.
In the case of option A, the probability of that event occurring is 1/4.In the case of option B, the probability of that event occurring is 1/2.In the case of option C, the probability of that event occurring is 1/8.In the case of option D, the probability of that event occurring is 3/8. We can see that Option B is the only event having a probability of 1/2.Therefore, Hillary and her friends could flip a coin twice to fairly decide which activity they will do. If the coin lands on heads one time and tails one time, they will go bowling. If it doesn't, they will go to a movie. The correct answer is Option B.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ2
what's 1+1 plese my mom is going to tak away my tablet and I'll even mark yo branlyist
Answer:
2
Step-by-step explanation:
Imagine you have 1 cookie, and then you have another cookie.
1 cookie and then another cookie is 2 cookies.
Will give brainliest answer please help
Answer:
[tex]a^{2}(24a^{2}+36a+12)[/tex]
Step-by-step explanation:
Area of rectangle= Length*Width
so [tex](6a^{2}+9a+3)*4a^{2}[/tex] multiply each coefficient of a times 4a^2
[tex]24a^{4}+36a^{3}+12a^{2}[/tex] then take a^2 common factor so it will be
[tex]a^{2}(24a^{2}+36a+12)[/tex]=area
IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.
Complete question is missing, so i have attached it.
Answer:
Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
Im a game with 10 floating ducks,there are 2 ducks with a green dot on the bottom,3with a blue dot and 5 with a red dot.What is the probability of selecting a green duck
Answer:
2/10 or 1/5
Step-by-step explanation:
There are a total of 10 ducks, and only 2 have green dots.
So the probability would be 2 / 10, which simplifies to 1 / 5.
Greatest common factor of 2 and 10: 2
So: 2 ÷ 2 = 1
10 ÷ 2 = 5
In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
Rohan bought an almirah for Rs 15,600 and spent Rs 400 on its transportation. The total C.P is __________
From the question,
Rohan bought an almirah for =Rs.13600= cost price
Transportation cost =Rs.400
The total cost price of almirah =Rs.(13600+400)
The total cost price of almirah =Rs.(13600+400)=Rs.14000
He sold it for =Rs.16800= selling price
By comparing SP and CP=SP>CP, so there is a gain
Gain=SP−CP
=16800−14000
=Rs.2800
Gain %={(gain/CP)×100}
={(2800/14000)×100}
={2800/140}
=20%
Andre is waiting for the school bus. He knows that 2 out of 6 cars in his town are white. He wants to determine the probability that at least two white cars drive by in a row. He uses a number cube as a simulation. He lets the numbers 1 and 2 represent a white car and lets all other numbers represent a car that is not white. He rolls the number cube 6 times and records the outcomes in the table below.
Trial Number Outcome
1 4, 3, 6, 1, 2, 4
2 5, 5, 1, 3, 6, 6
3 2, 5, 4, 4, 1, 3
4 6, 1, 5, 6, 6, 4
5 2, 1, 2, 6, 4, 5
6 3, 3, 1, 4, 2, 6
7 1, 5, 6, 2, 2, 3
8 3, 6, 4, 3, 4, 4
9 1, 1, 2, 1, 5, 6
10 4, 3, 3, 1, 5, 2
Based on the data, what is the probability that at least 2 white cars drive by in a row?
____%
Answer: hi
Step-by-step explanation:
What is the answer?
Answer: D
Step-by-step explanation:
First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.
hope this helps :)
Sarah has 30 pencils. She wants to give her 5 friends the same amount of pencils. How many pencils does Sarah give each friend? (Write an equation and then solve.)
Answer:
6 pencils
Step-by-step explanation:
30/5=6
Fill the blanks using Product formula.
Answer: (-4s-1)*(-8) + (-4)*(-8s+7)
You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.
need help with this one
Answer:
Step-by-step explanation:
B + 87 +78 +66 = 360
B = 129 °
the angle next to B then is
180 = 129 + b '
51 ° = b '
A + 61 + b ' = 180
A = 68 °
Factorise the following.
Answer:
iii. (l + m - n)(l - m + n)
vi. (5a -b) ( 5b - a)
Step-by-step explanation:
iii. l² - (m - n)²
= (l + m - n)(l - m + n)
vi. 4(a+b)² - 9(a-b)²
= (2(a+b))² - (3(a-b))²
= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))
= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)
= (5a -b) ( 5b - a)
Q. 1) l²- (m - n)²
=(l - m + n)(l + m - n)
Q.2) 4(a+b)²- 9(a-b)²
= [(2(a+b))²- (3(a-b))²]
=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]
=[2a+2b+3a-3b][2a+2b-3a+3b]
=[5a-b][5b-a] ]
2 cups is to 8 cans as 14 cups is to ___ cans?
Answer:
56
Step-by-step explanation:
The ratio is 1:4
14 * 4 = 56
Answer: 56
Step-by-step explanation:
8 ÷ 2 = 4 (cans) - it is 1 cup.
14 × 4 = 56 (cans) - it is 14 cups.
Pls help ASAP math plsssss
Answer:
ASAP meaning as soon as possible
Answer:
y= 1.4x + 7
Step-by-step explanation:
y= mx + b
m = rise over run = 7/5 = 1.4
the y intercept is 7, this is our b
Point P is (1,2)
Point Q is (7,6)
Which of the following best represents the length of segment PQ?
Leonardo puts $450 in a bank account that earns 3.5% simple interest. How much interest will he earn in four years?
Answer:
$63
Step-by-step explanation:
Answer:
$63
Step-by-step explanation:
I bye a notebook for $8.00. It is on sale for 20% off.
What is the sale price?
Answer:
$6.40
^w^ -ash
which set of points lie on the given graph?
• (-3, 9), (-1, 5), (3, 3)
• (3, 9), (1, -5), (3, 3)
• (3, 9), (-1, 5), (3, 3)
• (-3, 9), (-1, 5), (3, -3)
Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15
pounds cost? *
Answer:
24 dollars
Step-by-step explanation:
each pound is $1.60 and 15 times $1.60 equals 24
Answer:
$24
Step-by-step explanation:
5/8=15/x
cross product
8*15=5*x
120=5x
x=120/5
x=24
PLS HELP AND HURRY
After how many hours is the price the same in both companies? Explain how you found the answer.
Step-by-step explanation: 5
Answer:
Step-by-step explanation:
Raging River costs
y=9x
Paddlers costs
y=x+40
So they cost the same when y=y
9x=x+40
8x=40
x=5
So they cost the same for 5 hours.
Can someone help me? I’ll reward points + brainalist
Answer:
Option A is your answer ☺️☺️☺️