Answer:
x = 13.5
Step-by-step explanation:
sin 40 = x/21
0.6428 = x/21
x = 13.5
A trail mix has 1/2 cup of raisins and 2/3 cup of peanuts. Witch ingredient has the great amount?
Answer:
Peanuts
Step-by-step explanation:
Answer:
peanuts
Step-by-step explanation:
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.
Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.3.
= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
Please answer my questions truthfully and not gibberish just for points
Answer:
51. / 13.7
54. / 17.85
29. / 5.15
Step-by-step explanation:
How old are you?
Answer:
The original cable was 5.15 m long.
51: $13.70
53: $16.50
54: $17.85
55: 4.4 miles
56: $49.35
Step-by-step explanation:
The answer to the first question (the one about the cables): So you would solve it by adding the lengths of the cable together.
Cut off piece: 1.65 m Remaining cable: 3.5 m
To find the original length, we need to add the cut off piece and the remaining cable together.
1.65+3.5= 5.15
The original cable was 5.15 m long.
this one anyone can help
Answer:
Diagram 1:
a = 54°
b = 54°
Diagram 2:
a = 74°
b = 106°
c = 106°
d = 65°
e = 65°
Step-by-step explanation:
Diagram 1:
a = 54° (alternate angles are equal)
b = a (vertically opposite angles are equal)
a = 54°
Therefore,
b = 54°
Diagram 2:
a = 74° (alternate angles are equal)
a + b = 180 (sum of angles on a straight line)
74 + b = 180
Collect like terms
b = 180 – 74
b = 106°
74 + c = 180 (sum of angles on a straight line)
74 + c = 180
Collect like terms
c = 180 – 74
c = 106°
d = 65° (corresponding angles are equal)
e = d (vertically opposite angles are equal)
d = 65°
Therefore,
e = 65°
Radius of sphere js 6 centimeters what is volume
the equation for volume of sphere is 4/3 x π x r^3
so just put the numbers in
4/3 x π x 6^3
= 288 π cm^3
Answer:
The volume of a sphere is given as
4/3 πr^3
There is only one variable, the radius, which we are given in the problem.
since the radius is 6 cm, we can plug that in to the formula
4/3 π6^3
Put this into the calculator, and we see that the volume is 904.8cm rounded to the nearest tenth.
Step-by-step explanation:
Hope it is helpful....
The any quality 5G > 45 when g is=
Answer:
the answer is 9
Step-by-step explanation:
9 x 5 = 45 so g is 9
Hope this Helped!!!!!!!!!!!!
cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216
Answer: OD) 216
Step-by-step explanation: 6^3 multiple it three times 6x6x6=216
1.
Krishna dai bought 40 bulbs for Rs. 800. 10 of them were broken.
He sold all remaining bulbs at Rs. 30 each. Find his profit or loss
percent
Answer:
He loses 100 Rs. during the process of buying and selling.
Step-by-step explanation:
1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.
2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.
3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.
4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.
( Now there are 2 scenarios in this case )
1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.
2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .
( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )
I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.
I hope this helped have a good day!
Answer:
Profit %= 50%
Step-by-step explanation:
Price for 40 bulbs: Rs.800
Price for 1 bulb each: 800/40= Rs 20
Price for 10 bulbs= 10*20=Rs. 200
This means that Rs. 200 were wasted due to 10 bulbs being broken.
The remaining bulbs; 30 are sold at a price of Rs 30 each.....
In reality, the price of the remaining 30 bulbs: 30*20=600
Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900
Profit= SP-CP; Profit= 900- 600= Rs 300
Profit%= 300*100/600= 50%
what is a formula for the nth term of the given sequence?
12,6,3...
Given:
The sequence is:
12, 6, 3, ...
To find:
The formula for the nth term of the given sequence.
Solution:
We have,
12, 6, 3, ...
Here, first term is 12.
Clearly, [tex]\dfrac{6}{12}=\dfrac{3}{6}[/tex]. Since the given sequence has a common ratio [tex]r=dfrac{1}{2}[/tex], therefore it is a geometric sequence.
The formula for the nth term of the given sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
[tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex]
Therefore, the formula for the nth term of the given sequence is [tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex].
Answer:
Step-by-step explanation:
The first second and fourth terms of a proportion are 6, 18 and 25 respectively. Find
its third term.
Answer:
The third term is 25/3
Explanation:
According to the given proportion,
→ First term : second term : : third term : fourth
→ 6 : 18 : : third term : 25
→ 6/18 = third term/25
→ 6*25/18 = third term [multiplying both sides by 25]
→ 1*25/3 = third term
→ 25/3 = third term.
Help pls! Need by 2 pm est time. Just do number 2 pls
Answer:
7 feet
Step-by-step explanation:
I hope my answer is correct!
A survey of U.S. adults who attend at least one music concert a year found that 67% say concert tickets are too expensive. You randomly select 12 adults who attend at least one music concert a year and ask them if concert tickets are too expensive. (Remember to make correction)
A)Find the probability that fewer than 4 people say that concert tickets are too expensive.
B)Find the probability that between 7 and 9 people, inclusive, say that concert tickets are too expensive.
C)Find the probability that at most 10 people say that concert tickets are too expensive.
Answer: b
Step-by-step explanation: step step
can somebody plllllzzzzzzzzzzz help me with this-2 (x + 4 + 5y)
Answer:
-2x -8-10y
Step-by-step explanation:
-2 (x + 4 + 5y)
distribute
-2x -8-10y
150% as a simplified fraction
Answer:
It would be 3/2 as 1/2 is 50%, 2/2 or 1 is 100% and 3/2 is 150%
Step-by-step explanation:
You can sell 60 pet chias per week if they are marked as $1 each, but only 50 per week if they are marked $2 per chia. Your chia supplier is prepared to sell you 10 chias per week if they are marked $1 per chia, and 20 per week if they are marked $2 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias
Answer:
$1 for 60
Step-by-step explanation:
60$ is a better deal.
I need help, this is homework due in a few minutes
The y-intercept is -6
It opens down.
Pls help me pls i will mark brainliest
Answer:
The line cannot be extended to any point since we are trying to graph a zero that is equivalent to absolutely nothing
Step-by-step explanation:
choose as brainliest
Which one, please?!
Quickly!
Answer:
c) FJ and GH
Step-by-step explanation:
what are the Best odd to play in betting
Answer:
ive never played a bet game all i know is you shouldnt give much due to the fact that u may loose
Step-by-step explanation:
I need help please it’s due tomorrow
Answer:
<E(it is obtuse), <C, <D
The angle opposite to the longer side is greater than the angle opposite to the shorter side
^^for the second one use the same logic <C, <B, <A
Given the function f(x) = 4x + 1, EXPLAIN and show how to find the average rate of change between x = 1 and x = 3.
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
What is the answer I need to know
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
.
Cuál es el valor de 3/2? es para una tarea :(
Answer:
1.5
Step-by-step explanation:
PLEASEEEE HELP ON ANY QUESTION
I WILL GIVE U THE REALLY GOOD REVIEW
Answer:
C. 3 to 18, 5 to 30 is equal
Step-by-step explanation:
Yuk noticed that out of 24 students entering the building at Willowville Elementary School this morning, 8 of them were carrying a lunch box. If these students are representative of the entire school, how many of the Willowville's 84 students would you expect to have brought a lunch box?
Answer:
the students that brought a lunch box is 28
Step-by-step explanation:
The computation of the students that brought a lunch box is shown below:
= Entire school students × students that carry a lunch box ÷ entering students
= 84 students × 8 ÷ 24 students
= 28 students
Hence, the students that brought a lunch box is 28
The table below shows the amount Amelia earned babysitting. Find the rate of change
Answer:
1 : 8
Step-by-step explanation:
Answer:
$8 per hour
Step-by-step explanation:
First you have to do 16/2 or 32/4 to get your answer which is 8
Hope this helps!
According to exponent rules, when we divide the expressions we _______ the exponents.
Multiply
Subtract
Divide
Add
A line's graph is shown. Write an equation for the line.
Answer:
Step-by-step explanation:
the equation for the line is y = 4
Brooklyn's family took a road trip to Mount Rushmore. Brooklyn fell asleep 72% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Brooklyn fell asleep?
Answer:
13
Step-by-step explanation:
plus 2 = 11 = 13
Answer:
The correct answer is 288
Step-by-step explanation:
72% of 400 is 288 you can do that in a calculator its common sense, its not 13.