Answer:
The volume of 1 bucket is 2.4 liters.
Step-by-step explanation:
We know that the volume of 12 buckets is the same as the volume of 9 bottles:
[tex] 12B = 9b [/tex]
[tex] B = \frac{9}{12}b = \frac{3}{4}b [/tex] (1)
Where B is for buckets and b is for bottles.
Also, that the total volume of 3 bottles and 5 buckets is 21.6 liters:
[tex] 5B + 3b = 21.6 [/tex] (2)
We can calculate the volume of 1 bucket by entering equation (1) into (2):
[tex] 5(\frac{3}{4}b) + 3b = 21.6 [/tex]
By solving for "b" we have:
[tex] b = \frac{21.6*4}{27} = 3.2 [/tex]
Now, the volume of 1 bucket is:
[tex] B = \frac{3}{4}b = \frac{3*3.2}{4} = 2.4 [/tex]
Therefore, the volume of 1 bucket is 2.4 liters.
I hope it helps you!
An art class is planning to paint a mural on an outside wall.The figure below is a scale
drawing of the wall. What is the area of the actual wall?
Answer:
Step-by-step explanation:
I dont see The figure to hepl you
Let X and Y denote the latitude and longitude of a person who is thought to be lost in a certain part of a forest. If we assume that the density of X is uniform for 2 < X < 8.2 and the density of Y is also uniform for 3.01 < Y < 6.3, and we assume that X and Y are independent, then the joint density of X and Y is
Answer:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
Step-by-step explanation:
We know that the possible values of X (all with the same probability) are:
2 < X < 8.2
And for Y we have the range (also uniform):
3.01 < Y < 6.3
Then we have a rectangle of area.
(8.2 - 2)*(6.3 - 3.01) = 20.398
Such that the probability for all the points inside the rectangle should be exactly equal, then we will have:
P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)
Such that if we integrate this in the given region, the integral will be equal to 1, as we should expect.
And zero if the point is outside that region, this is:
P(X, Y) = 0 if X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)
A car salesman will make $1400 salary this month and will earn an extra $500 each time he sells a car. Write an equation for the situation. Determine how much money he will make if he sells 7 cars.
Given:
Fixed salary = $1400
Additional salary = $500 each time he sells a car.
To find:
The equation for the situation and how much money he will make if he sells 7 cars.
Solution:
Let y be the total salary of the salesman after selling x cars.
He will earn an extra $500 each time he sells a car. So, extra money earned by him after selling x cars is 500x.
Total salary = Fixed salary + Additional salary
[tex]y=1400+500x[/tex]
Substituting [tex]x=7[/tex], we get
[tex]y=1400+500(7)[/tex]
[tex]y=1400+3500[/tex]
[tex]y=4900[/tex]
Therefore, the required equation for the given situation is [tex]y=1400+500x[/tex] and the salesman will earn $4900 if he sells 7 cars.
Which are exterior angles?
Answer:
4 and 6
Step-by-step explanation:
they are made with lines of the other angles
Answer:
I think the exterior angles are angle 4, angle 6, and angle 2.
Step-by-step explanation:
They are on the outside.
Need help asap!! What is the circumference of the circle shown?
Answer:
56.5
Step-by-step explanation:
Circumference = [tex]\pi d[/tex]
C = 3.14(18) = 56.52
1 hundredth + 3 tenths =?hundredths
Answer:
.01 + .3 = 0.31
Step-by-step explanation:
I need help plz
urgent
Answer:
B
Step-by-step explanation:
Find the area of the composite shape. Use 3.14 for π and round to the nearest hundredth.
___ square inches
Answer:
49.12 in²
Step-by-step explanation:
The composite figure here is a semicircle and a triangle :
Area of triangle = 1/2 * base * height
Base of triangle = 8 inches ; height = 6 inches
Area of triangle = 1/2 * 8 * 6 = 48/2 = 24 in²
Area of semicircle = 1/2 * πr²
Radius = 4 in
Area of semicircle = 1/2 * 3.14 * 4² = 25.12 in²
Area of composite figure :
Area of triangle + Area of semicircle
(24 in² + 25.12 in²)
= 49.12 in²
i would love a little help
Step-by-step explanation:
36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm
36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm
36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm
36D) area of ∆ABC = ½×6.9×4= 13.8 cm²
36E) sin A = sin 30° = 0.5
PLZ HELP HELP ILL GIVE BRAINLIEST FOR RIGHT ANSWER!!!
Which line plot displays a data set with an outlier?
Answer:
The last one.
Step-by-step explanation:
It's the one that has a lot of points (from 11-16) and then one point just chilling on 5. That one point is the outlier. Hope this helps! Have a nice day :)
NO LINKS!!!
Part 2. Decide if each pair of triangles below is similar. If the triangles are similar, justify your conclusion by stating the similarity condition you used.
Answer:C.
each pair of triangles below
UT/IF:TQ/IK:IQ/KF
14/44.8:20/64
5/16:5/16
since they are similar
D.
<R=<K=96°
<J=<X=32°
<Q=<K=52°
since corresponding angle are equal.
they are similar
JR/XV:RQ/KV:JQ/XK
similarity condition are:
the corresponding side are proportional and angle are equal.
9514 1404 393
Answer:
c. no
d. yes; AA postulate
Step-by-step explanation:
c. The marked sides have the same ratio ...
20/14 = 10/7 = 64/44.8
However, the angle between them is not marked as being the same. We cannot conclude the triangles are similar.
__
d. Missing angle R is 180° -32° -52° = 96°. So, two of the angles in the triangles match. (32° and 96°) ∆RQJ ~ ∆VKX by the AA postulate.
I WILL GIVE BRAINLY!! Thank you :)
I need Help!
+9 - (+12) =?
Answer:
+9-12
==3
Step-by-step explanation:
when u multiply - and + it will always be -
Answer:
To simplify this, it is simply.
9 - 12
Because the + means its a positive.
9 - 12 = - 3
Select the two binomials that are factors of this trinomial.
x2 + 8x + 12
A. X+6
B. X-2
C. X + 8
D. X+2
[tex]\huge{ \mathfrak{ \underline{question : }}}[/tex]
Select the two binomials that are factors of this trinomial.
[tex]x_2 + 8x + 12[/tex]
[tex]\huge{ \mathfrak{ \underline{Answer : }}}[/tex]
[tex] {x}^{2} + 8x + 12[/tex][tex] {x }^{2} + 6x + 2x + 12[/tex][tex]x (x + 6) + 2(x + 6)[/tex][tex](x + 2)(x + 6)[/tex]We got the factors as :
[tex]A. \: (x + 6)[/tex]
and
[tex]D. \: (x + 2)[/tex]
[tex] \#TeeNForeveR[/tex]
Answer:
A&D
Step-by-step explanation:
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answer:
>
Step-by-step explanation:
41/8 = 5.125
What function is shown in the graph below?
which fraction is equivalent to 0.63? A. 7/11 B. 19/30 C. 63/100 D. 63/1000
Answer:
C. 63/100
hope this helps
have a good day :)
Step-by-step explanation:
In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community. Construct a 95% confidence interval for the proportion of residents who think traffic is getting worse in their community.
Answer:
The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community.
This means that [tex]n = 802, \pi = \frac{265}{802} = 0.3304[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 - 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.2978[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 + 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.3630[/tex]
The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).
I need the answer fast
The answer is the first one, A = 0.5bh. I hope this helps, have a good day!
Slove it step by step
Answer:
17is the truth
Step-by-step explanation:
please help me i really need help please help me
9514 1404 393
Answer:
735.6 in³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³ . . . . where r is the radius
The radius is half the diameter, so we can write this in terms of diameter as ...
V = (4/3)π(d/2)³ = (π/6)d³
Using the given diameter, the volume is ...
V = (π/6)(11.2 in)³ ≈ 735.6186 in³
The volume is about 735.6 cubic inches.
What is the unit rate per watermelon if a store has them on sale for buy 5 watermelon for $11.50? Unit rate =$
what is the volume of the aquarium?
Answer:
3000 in3 ? I haven't actually done this i-ready before- but I believe it's
Width x Length x Height = Final result?
Step-by-step explanation:
Question 1
Researchers want to find a way to increase the growth rate of corn so it can be harvested more often. To test the effectiveness of a new type of spray fertilizer, plants grown from 200 corn seeds were divided equally into two groups: a treatment group and a control group. The treatment group was frequently sprayed with the new type of fertilizer. The growth in centimeters of each corn plant was noted before and after the treatment.
The results showed that the mean change in the growth rate by the treatment group is 8 points more than that of the control group. To test whether the results could be explained by random chance, researchers created a table that summarizes the results of 1,000 re-randomizations of the data with differences of means rounded to the nearest 2 points.
Consider the significance level to be set at 5%, so results less than 5% can be considered statistically significant.
Part B
Question
Which statement is true about the result considering a significance level of 5%?
The result is not statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate.
The result is not statistically significant, which implies that this result could be due to random chance.
Answer: The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Step-by-step explanation:
The statement that is true about the result considering a significance level of 5% is B. The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
What is Statistics?This refers to the analysis of numbers and data to make an inference about a thing.
Hence, we can see that based on the research made about the growth rate of corn, we can see that from the significance level of 5%, we can see that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Read more about statistics here:
https://brainly.com/question/12150562
#SPJ2
The probability that a birth in the United States is male during 2018 is 0.511. Suppose a random number generator from 1 to 1,000 is used as a statistical model to create simulated results for births in the United States during 2018. Suppose the numbers 1 to 511 represent a male birth in the United States during 2018 and 512 to 1,000 represent a female birth in the United States during 2018. Explain whether the following results are consistent with the model, and if not, explain the expected number of male births and the expected number of female births for 300
trials.
In 300
simulated trials, 171 of the births are female and 129 are male.
Answer:
Step-by-step explanation:
The probability that a birth in the United States is male during 2018 is 0.511. So there are slightly more males than females born.
In 300 simulated trials, 171 of the births are female and 129 are male. More females are born so it is not consistent with the model.
The expected number of male birth for 300 trials should be 300*0.511 = 153.
The expected number of female = 300-153 = 147
I need help with this!! What is the answer???!
Answer:
53
Step-by-step explanation:
Sum of interior angles of a pentagon = 540°
Therefore,
2x° +2x° + 3x° + 3x° + 10 = 540°
10x° + 10° = 540°
10x° = 540° - 10°
10x° = 530°
10x = 530
x = 530/10
x = 53
answer the question math
Answer:
[tex]7y-10[/tex]
Step-by-step explanation:
[tex]9y-\frac{1}{2}\left(4y+20\right)[/tex]
To simplify this expression, first use the distributive property to distribute [tex]\frac{1}{2}[/tex].
[tex]9y-\frac{1}{2}(4y)+-\frac{1}{2}(20)[/tex]
Simplify.
[tex]9y+-2y+-10[/tex]
Combine like terms, [tex]9y[/tex] and [tex]-2y[/tex].
[tex]7y-10[/tex]
The simplification of [tex]9y-\frac{1}{2}(4y+20)[/tex] is [tex]7y-10[/tex].
I hope this helps ^^
Good luck
An object is thrown down with an initial velocity of 8 ft/sec. When will the object have fallen 120 feet?
Step-by-step explanation:
[tex]time = \frac{(final \: - \: initial \: displacement)}{(final - initial \: velocity)} \\ time = \frac{0 - 120}{0 - 8} \\ time = 15 \: seconds[/tex]
What’s the solution for this?
Answer:
( -1 , 5 )
Step-by-step explanation:
Solution = Coordinate where the two lines intersect
The two lines intersect at ( -1 , 5 )
Thus solution = ( -1 , 5 )
Need help asap please
Answer:
3.8×10^7= 38000000
1.9×10^6= 1900000
38000000÷1900000= 20
the population of California is 20 greater than the population of Nebraska