Answer: The sampling distribution of the difference in sample proportions is approximately normal
Step-by-step explanation:
Given that :
Random sample of deer from one region = 200
p = 0.06
1 - p = 1 - 0.06 = 0.94
Random sample of deer from other region = 197
p = 8.6% = 0.086
1 - p = 1 - 0.086 = 0.914
For an approximately normal distribution :
np ≥ 10
n(1 - p) ≥ 10
(200) (0.06) = 12
(200) (0.94) = 188
(197)(0.086) = 16.942
(197)(0.914) = 180.058
Since all conditions are met :
Then, the sampling distribution of the difference in sample proportion is approximately normal.
1. Convert the following:
1.1 40 miles to km
Miles Kilometers
40 mil 64.37 km
Answer:
18.34652
Step-by-step explanation:
1 mile is equal to 1.60934 so u will multiple 11.40 by 1.60934 and u will get the answer
Question 4 A study has been conducted to compare male and female test performance on a standardised science exam. In this hypothetical study, the researchers reported with a sample size of n = 50, the 95% confidence interval was found to be between 0.15 and 0.55.
What would happen to the 95% confidence interval if the sample size was increased?
The 95% confidence interval would remain the same Cannot be determined from the information provided The 95% confidence interval would decrease The 95% confidence interval would increase
If the sample size was increased, the 95% confidence interval would decrease. A larger sample size would provide more precise and accurate data, resulting in a narrower confidence interval.
A confidence interval is a range of values within which a population parameter is estimated to lie with a certain level of confidence. It is commonly used in statistical inference to estimate the true value of a population parameter based on a sample from that population.
If the sample size was increased, the 95% confidence interval would likely decrease. This is because a larger sample size typically leads to more precise estimates and less variability in the data, resulting in a narrower confidence interval. However, the exact size of the decrease would depend on various factors such as the amount of variability in the data and the level of statistical significance chosen for the study.
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A new video game has been released. The table shows the proportional relationship between the number of levels completed and the time it should take to complete them. Number of Levels 2 3 Time (hours) ? 4.5 How many minutes should it take to complete 2 levels? 45 minutes 60 minutes 180 minutes 200 minutes
Answer:
180 minutes
Step-by-step explanation:
Because this is a Proportional Relationship, you can set up a proportion to solve for the unknown value. Change the 4.5 hours to minutes first.
\(\frac{2}{t}=\frac{3}{270}\) ⇒ 2×270 = 3t ⇒ 3t = 540 ⇒ t = 180
Which station will have to be on air longer to broadcast 4 minutes of news, explain?
If the two stations have the same bit rate, they will both have to be on air for the same amount of time to broadcast 4 minutes of news, regardless of the specific bit rate
What is time in maths ?
In mathematics, time is often thought of as a dimension, similar to length, width, and height. However, time is unique in that it only moves in one direction, from the past to the future. Time can be measured in various units such as seconds, minutes, hours, days, weeks, months, and years.
The length of time a station will have to be on air to broadcast 4 minutes of news depends on the bit rate of the broadcast.
The bit rate is the amount of data transmitted per second in a digital signal. The higher the bit rate, the more data can be transmitted per second, resulting in higher audio or video quality but also a larger file size.
Assuming the two stations have different bit rates, the station with the lower bit rate will have to be on air longer to broadcast the same 4 minutes of news than the station with the higher bit rate. This is because the station with the lower bit rate can transmit less data per second, so it will take longer to transmit the same amount of information.
For example, if Station A has a bit rate of 128 kbps (kilobits per second) and Station B has a bit rate of 256 kbps, Station A will have to be on air for twice as long as Station B to transmit the same 4 minutes of news, as it can transmit only half as much data per second as Station B.
Hence, If the two stations have the same bit rate, they will both have to be on air for the same amount of time to broadcast 4 minutes of news, regardless of the specific bit rate
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onsider the line =+7x5y−4. Find the equation of the line that is parallel to this line and passes through the point −−4, 5. Find the equation of the line that is perpendicular to this line and passes through the point −−4, 5.
The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is y = -7/5(x) -53/5
How to find the equation of the lines parallel and perpendicular to 7x+5y = 4?Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)
The slope-intercept form of a straight line is:
y = mx + c
where m is the slope and c is the y-intercept
For perpendicular case:
When the two lines are perpendicular, the product of their slope is -1 i.e.
m₁ x m₂ = -1
where m₁ and m₂ represent the slope of the lines
Let the slope of the given line be m₁ and the slope of the unknown line be m₂
Line1(given):
7x+5y = 4 => y = (-7/5)x + 4/5
Thus, m₁ = -7/5
m₁ x m₂ = -1
-7/5 x m₂ = -1
m₂= 5/7
Line 2(unknown) with the point (−4,-5):
y = mx + c
-5 = 5/7 (-4) + c
-5 = -20/7 + c
c = -15/7
Thus, the equation of the line is y = 5/7(x) -15/7
For parallel case:
When the two lines are parallel, they have equal slope i.e. m₁ = m₂
Line1(given):
7x+5y = 4 => y = (-7/5)x + 4/5
Thus, m₁ = -7/5
m₂= -7/5
Line 2(unknown) with the point (−4,-5):
y = mx + c
-5 = -7/5(-4) + c
-5 = 28/5 + c
c = -53/5
Thus, equation of the line is y = -7/5(x) -53/5
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Did she make an error?
Amelie wants to decorate the outside of the box but not
the bottom. It is a 5 in. by 3 in. by 2 rectangular prism. If
the beads that she is using cost $0.25 per square inch,
how much will she pay for the beads? Her work is shown.
Yes, she should have only added the area of five of
the six faces.
Yes, she did not use the correct area formula for a
rectangle
Ol Yes, she calculated the cost incorrectly.
surface area = 15 + 15 + 6 + 6 + 10 + 10 = 62 in.
cost = 0.25(62) = $15.50
No, she didn't make any errors.
Answer:
Step-by-step explanation:
The formula for determining the surface area of a cuboid or box is expressed as
Surface area = 2lw + 2lh + 2wh
Where l, w and h represents length, width and height of the box respectively.
2lw represents the area of the top and the bottom of the box. Since she doesn't want to cover the bottom, it becomes lw. Therefore,
Surface area = 15 + 6 + 6 + 10 + 10 = 47 in².
The cost would be
0.25 × 47 = $11.75
Therefore,
Yes, she should have only added the area of five of the six faces.
Answer:
its A
Step-by-step explanation:
A) She walks slowly, walks quickly then stops.
B) She walks quickly, walks slowly then stops.
C) She walks slowly, stops then walks quickly.
D) She walks quickly, stops then walks slowly.
which is correct? help me please
A company ships gasoline in tanks. Together, 3 tanks can hold 84 tons of gasoline. How many tanks does the company need to ship 420 tons of gasoline?
A.
12
B.
18
C.
7
D.
15
Answer:
D.
Step-by-step explanation:
To find how much tons each tank can hold, we can use this equation:
84 ÷ 3 = 28So, each tank can hold 28 tons.
To solve for the number of tanks needed to ship 420 tons of gasoline, we can use this equation:
420 ÷ 28 = 15To check, we can use this equation:
15 × 28 = 420Therefore, to ship 420 tons of gasoline with each tank containing 28 tons, the company will need 15 tanks.
Sloan the sloth crawls at 100 meters per hour when crawling uphill, 120 meters per hour when crawling across flat ground, and 150 meters per hour when crawling downhill. One day, Sloan crawls across the forest floor from a tree stump to a spring, and then takes the same route in reverse to return to the tree stump. What was Sloan's average speed during the entire round trip?
Answer:
i wanna say 370 i could be wrong
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
I believe it is 120. If not then 240.
Which equation can be used to solve for x xx in the following diagram? Choose 1 answer: (Choice A) A ( 5 x + 30 ) − 5 x = 90 (5x+30)−5x=90left parenthesis, 5, x, plus, 30, right parenthesis, minus, 5, x, equals, 90 (Choice B) B ( 5 x + 30 ) + 5 x = 180 (5x+30)+5x=180left parenthesis, 5, x, plus, 30, right parenthesis, plus, 5, x, equals, 180 (Choice C) C ( 5 x + 30 ) + 5 x = 90 (5x+30)+5x=90left parenthesis, 5, x, plus, 30, right parenthesis, plus, 5, x, equals, 90 (Choice D) D 5 x = ( 5 x + 30 ) 5x=(5x+30)
Answer: answer is C
Step-by-step explanation:
for find x
(5x+30)+5x=90
5x+30+5x=90 add like terms
after,
10x+30=90
10x+30-30=90-30
10x/10=60/10
x = 6
to obtain answer as C
it mean
(5x+30)+5x=90
(5(6)+30)+5(6)=90 we know x=6 so add 6 to x and multiply and obtain answer is correct!
30+30+30=90
Find the Value of x. I WILL GIVE YOU BRAINLIEST!!!!! +to the person who answers first)
Answer:
hi
Step-by-step explanation:
5x+10+2x+10+90=180
5x+2x=180-10-10-90
7x=70
x=10
have a nice day
How do the slopes of lines that are perpendicular to each other compare?
Answer:
they create 90* angles on the graph
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use t = 3.14 in
any formulas used. HELP!
Answer: C) Perimeter = 46.28
Step-by-step explanation:
The lengths of the sides on the bottom half of the shape are given as :
left = 10, bottom = 20, right = 10 = 40.
Need to find the perimeter of the semicircle at the top of the shape.
Perimeter of a circle is the Circumference = 2πr
So the perimeter of a semicircle = πr
= 3.14(2)
= 6.28
Add up the lengths of the left, bottom, right, and top: 40 + 6.28 = 46.28
Since there is only one option for Perimeter = 46.28, there is no need to solve for the Area.
fifteen less than the product of twenty-three and 2.8
(23 * 2.8) - 15
23 * 2.8 = 64.4
64.4 - 15 = 49.4
The price of an item has been reduced by 35%. The original price was 85.
Answer:
$43.82
Step-by-step explanation:
100 / 85 = 1.176
1.176 x 35 = 41.18
85 - 41.18 = 43.82
pls helpppp and let it be right
3) -80 s V-3(5 - 4v)-12-10-8-6-4-2HELP WITH NUMBER THREE AND WHICH WAY DO I SHADE???
Given inequality is
\(-80\leq v-3(5-4v)\)Solve the inequality:
\(\begin{gathered} -80\leq v-15+12v \\ -80\leq13v-15 \\ -80+15\leq13v-15+15 \\ -65\leq13v \\ -\frac{65}{13}\leq\frac{13v}{13} \\ -5\leq v \end{gathered}\)The solution is
\(-5\le v\)This means v can take the values greater than or equal to -5.
That is shade the region that is right of the -5.
The required shaded region of the solution is:
Help 7th grade mathematics
Answer:
28. -7/3, -3/4, 0.5, 2/3, 1.2
29. -2.5, -1.1, -4/5, 0.8, 9/5
30. -8/5, -1.4, 1/4, 0.6, 0.9
31. -9/4, -0.75, -6/10, 5/3, 2.1
32. -7/2, -2.8, -5/4, 1.3, 4/3
33. -2.4, -2.25, -11/5, 15/10, 1.6
34.
a. 0.55
b. 11/20
35. The box turtle is deeper.
Parker has 12 blue marbles. Richard has 34
of the number of blue marbles that Parker has.
Part A
Explain how you know that Parker has more blue marbles than Richard without completing the multiplication.
Enter equal to, greater than, or less than in each box.
Multiplying a whole number by a fraction
less than
1 results in a product that is
the original whole number.
Part B
How many blue marbles does Richard have? Enter your answer in the box.
blue marbles
If these two shapes are similar, what is the measure of the missing length V? 8m V 1m 2m
8m is equivalent to 1m
V is equivalent to 2
and the value we can calculate ussin cross multiplication
\(\begin{gathered} 8m\longrightarrow1m \\ V\longrightarrow2m \end{gathered}\)\(\begin{gathered} V=\frac{2m\times8m}{1m} \\ \\ V=16m \end{gathered}\)the value of V is 16m
36 divided by m over x times 9
Answer:
Step-by-step explanation:
4/mx
Write an that
5. Hog head cheese costs $2.15 per pound. ad equation best represents y, the total
cost of x pounds of Hog Head cheese?
Answer:
\(y = 25x\)
Step-by-step explanation:
Given
\(Rate = 25\)
Required
Cost of x pounds
To do this we simply multiply x by the rate
\(y =Rate * x\)
\(y = 25 * x\)
\(y = 25x\)
Solve the equation \(120 + 18 \frac{1}{4} x = 180 -1 \frac{3}{4} x\) for x
The value of the x in the given equation is 3.
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given an equation, \(120+18\frac{1}{4}x\) = \(180-1\frac{3}{4} x\)
120 + 73x/4 = 180 - 7x/4
60 = 73x/4 + 7x/4
60 = 80x/4
60 = 20x
x = 3
Hence, The value of the x in the given equation is 3.
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For each value of u determine whether it is a solution to -2u-6<-20
Answer:
u > 7
Step-by-step explanation:
-2u -6 < -20 Add 6 to both sides
-2u - 6 + 6 < -20 + 6
-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.
\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)
u > 7
Helping in the name of Jesus.
The answer is:
u > 7
In-depth explanation:
You haven't told me what the values of u are, but I'll solve the equation for u.
Add 6 on each side:
\(\bf{-2u-6 < -20}\)
\(\bf{-2u < -14}\)
Divide each side by -1 and reverse the sign:
\(\bf{2u > 14}\)
Now divide each side by 2
\(\bf{u > 7}\)
29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.
For instance, the diagram shows the pattern where n = 7.
If the total length of visible ares is 60 units, what is n?
The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.
To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).
In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.
Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:
2n = 60
Solving this equation, we find:
n = 60/2 = 30
Thus, the value of n is 30.
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6n + 12 what kind of property is it ?
Answer:
Subtractive property of equality
Subtractve property i think
What is the surface area of a rectangular prism that is 4 inches long, 5 inches wide, and 8 inches tall?
Answer:
160
Step-by-step explanation:
4x5=20.
20×8=160
l×w×h.
Determine the equation of the circle
graphed below.
-10 -9
-8 -7 -6 -5 -4 -3
Ņ
-1
10
9
y
8
7
6
5
4
3
2
1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
1
2 3 4 5 6 7 8 9 10
X
Answer: \((x-5)^2 +(y+4)^2 =25\)
Step-by-step explanation:
The equation of a circle with center \((h, k)\) and radius \(r\) is \((x-h)^2 +(y-k)^2 =r^2\).
So, the equation is \((x-5)^2 +(y+4)^2 =25\).
The equation of the circle in the figure is (x-5)²+(y+4)²=25
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
From the figure the circle has a center at (5, -4) and radius 5
The standard form equation of the circle is (x-h)²+(y-k)²=r²
(h, k) is the center of the circle and r is the radius of circle
Plug in the values of center and r
(x-5)²+(y-(-4))²=5²
(x-5)²+(y+4)²=25
Hence, the equation of the circle in the figure is (x-5)²+(y+4)²=25
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Use formula to find the area of the figure
The area of the figure in this problem is given as follows:
A. 30 in².
How to obtain the area of the figure?The area of a triangle is given by half the multiplication of the base length by the height of the triangle.
Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:
4² + x² = 6²
x² = 36 - 16
x² = 20
x = square root of 20
x = 4.47.
For a right triangle, one side is considered the height of the other, hence the sides are:
4 in.4.47 + 8 = 12.47 in.Hence the area of the triangle is then obtained as follows:
Area = 0.5 x 4 x 12.47
Area = 25 in².
Which is closest to 30 in².
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An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.52%
What is arithmetic mean?The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values and the number of observations involved in this sum.
Given An investment portfolio
Since arithmetic average ROR:
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:
ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average:
ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)
weighted average:
ROR=5.68%
difference=6.20%-5.68%
difference=0.52%
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Answer: it’s 1.1%
Step-by-step explanation: just got it right on the test