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Answers
Answer:
[tex] \boxed{ \tt{x = 4}}[/tex]
Step-by-step explanation:
[tex] \frac{3}{x} = \frac{6}{8} \\ 6x = 24 \\ x = 4[/tex]
Related Questions
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)
Answers
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).
The amount C in grams of carbon-14 present in a certain substance after t years is given by
C = 52e-0.0001097
a. What is the initial amount of carbon-14 present?
Answers
Answer:
987e-628479.9079083
Step-by-step explanation:
Answer:
maybe 7
Step-by-step explanation:
Factorise the following.
Answers
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] ]
Point P is (1,2)
Point Q is (7,6)
Which of the following best represents the length of segment PQ?
Answers
the answer needs more characters
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
Answers
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
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)
Answers
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?
____%
Answers
Answer: hi
Step-by-step explanation:
what's 1+1 plese my mom is going to tak away my tablet and I'll even mark yo branlyist
Answers
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.
Joe earned $25500 per annum and received a 6.35% raise. How much does he earn now?
Answers
Answer:
1619.25
Step-by-step explanation:
25500 x 6.35 % = 1619.25
Help please!!!!!!!!!!
Answers
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
what is the range of h
Answers
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.
The area is ___ square meters. UH HELP I need the steps if anyone can!?
Answers
27m squared
STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared
Can someone help me? I’ll reward points + brainalist
Answers
Answer:
Option A is your answer ☺️☺️☺️
Leonardo puts $450 in a bank account that earns 3.5% simple interest. How much interest will he earn in four years?
Answers
Answer:
$63
Step-by-step explanation:
Answer:
$63
Step-by-step explanation:
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.
Answers
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
Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15
pounds cost? *
Answers
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
I bye a notebook for $8.00. It is on sale for 20% off.
What is the sale price?
Answers
Answer:
$6.40
^w^ -ash
(-1) + 1 = 0 is which inverse
Answers
Answer:
Heya mate....
Step-by-step explanation:
This is ur answer....
--> ADDITIVE INVERSE!Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.
Hope it helps you,
mark me brainliest pls.....
Follow me! :)
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
Answers
Answer:
y+4x=36
Step-by-step explanation:
the answer isn't in the choice
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answers
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
Evaluate and simplify the expression when r=2 and s=3
Answers
Answer:13
Step-by-step explanation:plug in the the numbers
Answer:20
Step-by-step explanation:
I’m smart
1) How many ink cartridges can you buy with 77 dollars if one cartridge costs 11 dollars ?
Answers
11x7=77
Find the measure of 46.
t
56°/1249
46
te
s6 = [?]
Answers
Answer:
56°
Step-by-step explanation:
1st reason= alternate angles.
2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.
180-124=56
On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.
Answers
Answer:
-1
Step-by-step explanation:
mean, mu = 135.
Standard deviation = 20
X = 115
use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]
to get (115-135)/20 = -1
Suppose f is a linear function such that f(4)= 8 and f(9)= 1. Find the equation for f.
Answers
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.
Answers
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
If cotton candy sells for $4 per bag and the booth is
open for 12 hours, how many bags does the owner
have to sell to break even?
Answers
Answer:
Here ya go ! :)
Step-by-step explanation:
What is the answer?
Answers
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 :)
Yoko is mailing packages. Each small package costs her $2.20 to send. Each large package costs her $3.40. How much will
it cost her to send 3 small packages and 1 large package?
Answers
Answer:
$10
Step-by-step explanation:
3($2.20)+3.40
6.60+3.40=10
2 cups is to 8 cans as 14 cups is to ___ cans?
Answers
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.