Answer:
24π cm
Step-by-step explanation:
s = (∅/360) * 2πr
s = (216/360) * 2π(20)
s = (216/360) * 2 * 20 * π
s = 24π cm
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).
Please help!!! Will give brainleist
Answer:
1. the difference in price is that Bigfoot is $60/$65 more expensive than lazer liner
lazer liner is $5 or 0 if its that misleading
2. no $5 difference
3. because electro is misleading and is only 11 dollars while The blade is 75$ The difference in price is $64
4. maker the bars that are misleading below and add the lower prices under with them. And add lines and small lines that says a dollar or 5 dollar per line.
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:
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]
Solve the system of equation:
y = x + 3
y = 2x + 5
-5, 2
-8, 11
-2, 1
2,-1
Answer:
x=-2, y=1. (-2, 1).
Step-by-step explanation:
y=x+3
y=2x+5
------------
x+3=2x+5
3=2x-x+5
3=x+5
x=3-5
x=-2
y=-2+3=1
which of the following is equal to the fraction below? (3/4)^-5
Answer:
4.21399176955
Step-by-step explanation:
[tex]\frac{3}{4}^{-5}[/tex]
[tex]0.75^{-5}[/tex]
4.21399176955
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 ladder, 24m long, leans against a vertical wall and touches it 18m above the ground. How far is the foot of th ladder from the wall?
Answer:
15.87 m
Step-by-step explanation:
Length of ladder = hypotenus = 24 m
Height, opposite = 18m
Foot of ladder from the wall = x
Using Pythagoras rule :
Hypotenus² = opposite² + Adjacent²
x² = hypotenus² - opposite²
x² = 24² - 18²
x² = 576 - 324
x² = 252
x = √252
x = 15.87 m
4. The Grade 6 pupils are constructing a square pyramid for their project. They plan to
cover it with Manila paper. If one side of the base measures 2.2 meter and the height of its
triangular face is 1.9 m, what size of manila paper will be needed to cover all faces of the pyramid?
A. 13.20 sq m
B. 12.30 sqm
C. 12.03 sqm
D. 10.30 sqm
5. Marie wants to cover a rectangular box entirely with wall paper. How many square
centimetres of wall paper will he need if the box measures 15 cm long, 10 cm wide, and 8
cm deep?
A. 1500 sq cm
B. 1200 sq cm
C. 900 sq cm
D. 700 sq cm
Answer:
4.
Solution given:
length of base[a]=2.2m
slant height [l]=1.9m
Total surface area=?
we have
Total surface area of a square pyramid :
area of base+ curved surface area
:a²+2al
:2.2²+2*2.2*1.9
:13.20 m²
SoA. 13.20 sq m is a required answer.
5.
Solution given:
length [l]=15cm
wide [w]=10cm
height[h]=8cm
total surface area of cuboid =?
we have
total surface area of cuboid =sum of area of all side.
=2[lw+lh+wh]
=2[15×10+15×8+10×8]
=700cm²
D. 700 sq cm is a right answer.
The variable y is calculated by multiplying the variable of x by 2. There is a third variable (variable z), and it is known that the correlation of z with x is .45. What is the correlation of z with y
Answer:
The correlation between two variables, let's say A and B, is given by:
[tex]r(A.B) = \frac{ \sum{A*B}}{ \sqrt{\sum{A^2}* \sum{B^2}}}[/tex]
In our case, we know that:
y = 2*x
And:
r(X, Z) = 0.45
Then:
Now we want to find:
r(Y, Z)
Let's start with r(X, Z)
We know that:
X = Y/2
Then we can replace that in the correlation equation:
[tex]r(X.Z) = \frac{ \sum{X*Z}}{ \sqrt{\sum{X^2}* \sum{Z^2}}} = 0.45 \\[/tex]
[tex]r(Y/2.Z) = \frac{ \sum{(Y/2)*Z}}{ \sqrt{\sum{(Y/2)^2}* \sum{Z^2}}} = 0.45 \\[/tex]
[tex]r(Y/2, Z) = \frac{ (1/2)*\sum{Y*Z}}{\sqrt{ (1/4)\sum{(Y)^2}* \sum{Z^2}}} = \frac{ \sum{(Y)*Z}}{ \sqrt{\sum{(Y)^2}* \sum{Z^2}}} = 0.45[/tex]
And in the third part, we have r(Y,Z), then:
[tex]r(Y, Z) = \frac{\sum{Y*Z}}{\sqrt{\sum{Y^2}*\sum{Z^2}}} = 0.45[/tex]
The correlation of z with y is 0.45
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
The diameter of a circle is 10 ft find it’s circumference in terms of pi.
Answer:
10π ft.
Step-by-step explanation:
Circumference = diameter * π.
The diameter, D, of a sphere is 7.4mm. Calculate how he spheres volume, V.
Given :
The diameter D of sphere is 7.4 mm .
To Find :
The volume of sphere.
Solution :
Radius of sphere is r = D/2 .
r = 3.7 mm .
We know, volume of sphere is given by :
[tex]V = \dfrac{4\pi r^3}{3}\\\\V = \dfrac{4\times 3.14 \times 3.7}{3}\ mm^3\\\\V = 15.5 \ mm^3[/tex]
Hence, this is the required solution.
When Joyce went to the store, she bought a 32-ounce jar of jelly, a 16-
ounce jar of pickles, and an 8-ounce tub of butter. About how many total
grams are the three items? (1 ounce = 28 grams)
Answer:
1568 grams
Step-by-step explanation:
32 x 28 = 896 ][ 16 x 28 = 448 ][ 8 x 28 = 224 ; 896 + 448 + 224 = 1568
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.
(-3 1/3, -1 1/3) (1/3,2 1/3) (-1 1/3,3 1/3) (9, -1) (-3,-10) (1 1/3, -1 1/3)Quadrant 1 Quadrant II Quadrant II Quadrant IV
will make u as branilyest
Answer:
(-3 1/3, -1 1/3) Quadrant lll
(1/3, 2 1/3) Quadrant l
(-1 1/3, 3 1/3) Quadrant ll
(9, -1) Quadrant lV
(-3,-10) Quadrant lll
(1 1/3, -1 1/3) Quadrant IV
Step-by-step explanation:
Hope this helps! Ask any questions in the comments <3
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 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 :)
The mean age of 6 women in an office is 25 years old.
The mean age of 10 men in an office is 27 years old.
What is the mean age (nearest year) of all the people in the office?
Answer:
their marriage and 2 years before
Ashley wants to know how much wrapping paper is needed to cover a box with the dimensions shown.
Answer:
A
Step-by-step explanation:
surface area = length x width x depth
so 5x5x7=175.
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
If p and q vary inversely and p is 14 when q is 2, determine q when p is equal to 7.
Answer:
-5
Step-by-step explanation:
Sorry if I'm wrong.
q=2 when p=14. 14-2= 12. There is a difference of 12 between these numbers.
q= ? when p=7. 7-12= -5.
Hope this helps :)
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
Y = 2x + 3 2 How does the equation of a line need to be changed to shift the line upward? 1 123 1 -3 -2 -1 -1 -2 A A. The absolute value of the slope needs to be increased. B. The absolute value of the slope needs to be decreased. C. The y-intercept needs to be increased.
Answer:
C
Step-by-step explanation:
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:
If the formula 8= x; is used to find the mean of the following sample,
what is the value of n?
2, 63, 88, 10, 72,99
A. 6
B. 7
C. 8
D. 5
Answer:
maybe 8. this seems like it is missing something. I might just be too tired though...
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
help 4 brainliest please
Answer:
A. (0,1,2,4,6,8,9) is ur Answer
Answer:
A
Step-by-step explanation:
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answer:
>
Step-by-step explanation:
41/8 = 5.125