Answer:
Step-by-step explanation:
Given that:
the sample proportion p = 0.39
sample size = 100
Then np = 39
Using normal approximation
The sampling distribution from the sample proportion is approximately normal.
Thus, mean [tex]\mu _{\hat p} = p = 0.39[/tex]
The standard deviation;
[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n} }[/tex]
[tex]\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }[/tex]
[tex]\sigma = 0.048[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]
[tex]Z = \dfrac{0.3 - 0.39 }{0.0488}[/tex]
[tex]Z = -1. 8 4[/tex]
From the z - tables;
[tex]P (\hat p \le 0.3 ) = P(z \le -1.84)[/tex]
[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0329}[/tex]
(b)
Here;
the sample proportion = 0.39
the sample size n = 400
Since np = 400 * 0.39 = 156
Thus, using normal approximation.
From the sample proportion, the sampling distribution is approximate to the mean [tex]\mu_{\hat p} = p = 0.39[/tex]
the standard deviation [tex]\sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }[/tex]
[tex]\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }[/tex]
[tex]\sigma_{\hat p} =0.0244[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}[/tex]
[tex]Z = \dfrac{0.3 - 0.39 }{0.0244}[/tex]
[tex]Z = -3.69[/tex]
From the z - tables;
[tex]P (\hat p \le 0.3 ) = P(z \le -3.69)[/tex]
[tex]\mathbf{P (\hat p \le 0.3 ) = 0.0001}[/tex]
(c) The effect of the sample size on the sampling distribution is that:
As sample size builds up, the standard deviation of the sampling distribution decreases.
In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion that is less than 30% also decreases.
the store offers a 20% discount, The t- shirt is $18 and the discounted price is $3.60 ?
If the regular price for an item is x dollars, what is the discounted price? (Hint: write an expression)
Look up "Everything You Need To Know About (Your Subject) In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught in it so it might help you.
[tex]4 - 4[/tex]
[tex]7 \times 9[/tex]
Plz help its a riddle
Answer:
30
Step-by-step explanation:
the shoe=20
the person=5
the glasses=2
20+5×2
PEMDAS
5×2=10
10+20
=30
Answer:
The ans is 30
Step-by-step explanation:
the is shoe=20
the is person=5
the is glasses=2
20 shoes +5 people×2 glasses
5×2=10
10+20
=30
(hope this helps can i plz have brainlist :D hehe)
length in the boundary of any figure is called
Answer:
perimeter
Step-by-step explanation:
Perimeter is the distance around a two dimensional shape, a measurement of the distance around something; the length of the boundary.
Rename The following decimal form into fraction form. 1)0.75 2)0.35 3)0.24
Answer:
1) 3/4
2) 7/20
3) 6/25
Step-by-step explanation:
1) 0.75
= 75/100
= 3/4
2) 0.35
= 35/100
= 7/20
3) 0.24
= 24/100
= 6/25
Hope it helps!
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
M = -4/3. B = 8
Negative slope
Step-by-step explanation:
But not sure if it’s proportional or not
Is -6/3 a whole,integer,or rational
Answer:
-6/3 is a rational
Step-by-step explanation:
its a rational because it expresses as the ratio of two integers.
Select the correct answer from each drop-down menu. Complete each sentence about types of photography. photography involves capturing the subject of your photograph in motion, whereas photographing Inanimate objects. > photography involves
Answer:
1. whale 2. crowded boat
Step-by-step explanation:
on edge
Answer:
1. whale 2. crowded boat yw
Step-by-step explanation:
Describe the congruence transformation that maps quadrilateral ABCD to quadrilateral A'B'C'D'.
Question 27 options:
270° counterclockwise rotation
Reflection across the y-axis
90° clockwise rotation
90° counterclockwise rotation
Answer:
90 degree counterclockwise rotation
Step-by-step explanation:
After a 90° counterclockwise rotation, we get the required quadrilateral A'B'C'D'.
Hence the fourth option is correct.
The rotation of axes refers to a transformation in which the coordinate axes in a coordinate system are rotated to form new axes.
When we rotate the quadrilateral ABCD about 90 degrees counterclockwise,
The new position of vertices be,
A ⇒ B'
B ⇒ C'
C ⇒ D'
D ⇒ A'
Hence,
After this rotation, we get the required quadrilateral A'B'C'D' as shown in the figure.
Hence,
After 90° counterclockwise rotation we get such a triangle.
To learn more about quadrilaterals visit:
https://brainly.com/question/11037270
#SPJ4
UM PLEASE HURRY FOR ANSWERING THIS!!!
Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 15 cm
Answer:
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Step-by-step explanation:Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
Hypotenuse = h
Altitude = l
Base = b
l²+b²=h²
Here 6²=36
9²=81
12²=144
15²=225
From the above it is clear that
81+144=225
⇒9²+12²=15²
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Hope this helps!
Answer:
I believe it's Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°. I'm not so sure sorry if it's incorrect
Step-by-step explanation:
the sum of present ages of Anil and Sunil is 22 years. if anils present age is one-half of sunils present Age plus 4 years .find their present age
Answer:
A+S=22
A=S/2+4
Multiply second equation by 2 and rearrange.
2A-S=8
Add equations 1 and 3.
3A=30
A=10
Substitute for A in either of the first 2 equations to get
S=12
Step-by-step explanation:
What is the value of the expression shown below?
7 + (10 − 4)2 ÷ 4 × 1 over 2 to the power of 3
A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+3t^0.4, where t is the time in seconds and S(t) is the distance in feet from the top of the building.
Answer:)
Step-by-step explanation:
PLZ HELP ME THIS IS 7TH GRADE MATH I NEED HELP ASAP
Answer:
8 is 73 corresponding and 9 is 107 supplementary
Step-by-step explanation:
I really don't know how to do this-
Answer:
b is correct
Step-by-step explanation:
Please answer this I need helllp
Answer:
Equation: y = 2x
Graph: see attachment
Step-by-step explanation:
Pieces of paper = x
Number of Valentines = y
The equation is a proportional equation and can be represented as y = kx
k is the constant of proportionality
k = y/x
Using (2, 4),
k = 4/2 = 2
To find the equation, substitute k = 2 into y = kx
Thus:
y = 2x
The graph has been plotted and attached below.
charlotte has 3 yards of fabric she needs to cut the fabric into 7 equal peices. how many yards long should each peice of fabric be?
Answer:21
Step-by-step explanation:
pls help will give brainlyist
A circular patio has a diameter of 4 yards. What is the area of the patio? Use 3.14 for it.
A. 25.12 yd?
B. 6.28 yd?
C. 12.56 yd2
D. 50.24 yd2
Answer:
a
Step-by-step explanation:
A line has a slope of 2 and passes through the point -7,-10 What is its equation in point-slope form
I don't know the answer
AB is side of regular hexagon and AC
is a side of a regular 8 sided polygon find: angle AOB , AOC,BOC,OBC
Answer:a
Step-by-step explanation:
A disc has a radius of 31 cm. What is the circumference of
the disc, rounded to the nearest whole number? (Convert the
fraction to a decimal)
A.38 cm.
B.154 cm
C.22 cm
D.11 cm
Answer:
22 cm
Step-by-step explanation:
radius is 3 1/2 cm, which is 3.5 in decimal form
the circumference comes out to be 21.99, which is rounded to 22.
Find the missing side of the triangle. Round your answer to the nearest tenth if
necessary.
9.7
4.9
X
Answer:
10.9
Step-by-step explanation:
adding there squres you get 118.1 taking the squareroot of that you get 10.9
  Please help this is due today please i really need help it’s due in 5 hours!!!
Given parallelogram FGHI determine the missing information
Don’t answer with one answer, blank or ridiculous answer please this is serious
Answer:
y = 3 cm and x = 2.5 cm
Step-by-step explanation:
As we can see it is a parallelogram so
y = 3 cm (being opposite sides of parallelogram)
Now while calculating the diagonal we can use the Pythagoras relation. i.e
perpendicular (p) = 4 cm (IH)
Base (b) = 3 cm (FI)
Hypotenuse (h) = FH = ?
We know by using Pythagoras theorem
h = √ p² + b²
= √ 4² + 3²
= √ 25
= 5 cm
Here we got FH = 5 cm
so the value of x will be 2.5 cm as the diagonal bisects.
Hope it will help :)
Seth's family plans to drive 280 miles to their vacation spot. They would like to complete the drive in 5 hours.
Find the average speed in miles per hour needed to make the trip in the desired time.
Answer:
miles per hour.
Answer:
56 miles per hour
Step-by-step explanation:
I just divided 280 into 5
hope that helps:)
How can we get system B for system A?
And
Are the systems equivalent?
Answer: Subtract the equations in system A.
=============================================================
Explanation:
The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.
There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.
For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y
So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.
Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.
Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.
ginny brought 2.2 pounds of banana at a cost of 0.49 per pound + 1.3 pounds of grapes at a cost of 1.29 per pound what was the total cost of the bananas and grapes Ginny purchase
Answer:
IP 2.2 pounds of a banana at the cost of a foreign body 120 pounds of graphs are at the cost of a point on the total cost of the
Pls help this is my last points
Answer:
520 - 10x = 380
Step-by-step explanation:
x= 14
Answer:
520-10x=380
x = 14
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
A rectangular room is 14 feet by 20 feet. A rectangular rug is placed in the room so that a 2-foot border of floor around the edge of the room is not covered by the rug. What is the area of the rug?
Answer:
the rug should be 10 feet by 16 feet
this makes the area 160 foot squared
Step-by-step explanation:
there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.
160
top correct lolssssss
IF KOBE HAD 8 DUNKS AND LEBRON HAD 10, HOW MANY MORE DUNKS DID LEBRON HAVE THEN KOBE?
Answer:
2
Step-by-step explanation:
10-8
Answer:
Step-by-step explanation:
2