The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The population mean with a 95% confidence interval is 18.7±5.9.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
In order to find the population of the mean, we need to subtract the margin of error from the sample mean. Therefore, the population mean with a 95% confidence interval is 18.7±5.9.
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On Melissa's 6th birthday, she gets a $6000 CD that earns 7% interest, compounded semiannually. If the CD matures on her 14th birthday, how much money will be available?
if the CD matures on her 14th birthday, that means 8 years after she got it, since she got it in her 6th birthday, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &8 \end{cases} \\\\\\ A=6000\left(1+\frac{0.07}{2}\right)^{2\cdot 8}\implies A=6000(1.035)^{16}\implies A\approx 10403.92[/tex]
Math-Convert the following units.Write your answer on a separate sheet of ppaper
1.230.000 sq cm=_____sq m
2.400 000 sq cm= ____ sq m
3.60 000 sq cm= ____ sq m
4.15 sq m=______sq cm
5.120 sq m=______ sq cm
6. 16 sq m = ______ sq cm
The conversion of area units results in:
230 000 cm²= 23 m²400 000 cm²= 40 m²60 000 cm²= 6 m²15 m²= 150 000 cm²120 m²= 1 200 000 cm²16 m² = 160 000 cm²Unit Conversions for Area
For converting units of area, it is necessary to know the conversion factors and relate the units. For the units of area, each unit is 100 times larger than the previous. See below the relationship between the meter and the other units
1km²=1 000 000 m²=[tex]10^6[/tex] m²
1 hm²= 10 000 m²= [tex]10^4[/tex] m²
1 dam²=100 m²= 10² m²
1 m² =1 m²= 1 m²
1 dm²=0.01 m²= [tex]10^{-2}[/tex] m²
1 mm²=0.000001 m²= [tex]10^{-6}[/tex] m²
Now, you have the necessary information for converting the units.
230.000 sq cm=_____sq m[tex]1 cm^2 =10^{-4}m^2\\ 230000= x\\ \\ x= 230000 * 10^{-4}\\ \\ x=23 \;m^2[/tex]
400.000 sq cm= ____ sq m[tex]1 cm^2 =10^{-4}m^2\\ 400000= x\\ \\ x= 400000* 10^{-4}\\ \\ x=40\;m^2[/tex]
60000 sq cm= ____ sq m[tex]1 cm^2 =10^{-4}m^2\\ 60000= x\\ \\ x= 60000* 10^{-4}\\ \\ x=6\;m^2[/tex]
15 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 15 \\ \\ 10^{-4}x= 15\\ \\ x=15*10^4\\ \\x= 150\;000\;cm^2[/tex]
120 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 120\\ \\ 10^{-4}x= 120\\ \\ x=120*10^4\\ \\x= 1\;200\;000\;cm^2[/tex]
16 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 16\\ \\ 10^{-4}x= 16\\ \\ x=16*10^4\\ \\x= 160\;000\;cm^2[/tex]
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A tonne (1000 kg) of soil is to be equally divided
between 7 garden beds. How much soil is placed
in each garden bed? Write your answer in tonnes
rounded to the nearest kilogram.
Answer:
0.143 tonnes
Step-by-step explanation:
1000 / 7 = 142.857143
= 143 kg
= 0.143t
what is the slope of the line containing the point( -9,2) and (3,14)
Answer:
the slop is 1
Step-by-step explanation:
hop that help
AABC ~ AQRS
Find the missing side length, n.
R
B
6
n
U
2
c
5
s
n = [?]
Enter
Answer:
n = 15
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )
[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )
2n = 30 ( divide both sides by 2 )
n = 15
Use an equation to solve.
What is 60% of 400?
Answer:
240 :)
Step-by-step explanation:
400 x 0.60 = 240
Have a great day!
Please rate and mark brainliest!!
Answer:
240
Step-by-step explanation:
Helppppppppppppppppppp
Answer:
8/27
Step-by-step explanation:
It says to use V=s^3.
s is the the side length of the cube which is 2/3 in this case.
So to get your answer you have to do: (2/3)^3 or 2/3 x 2/3 x 2/3.
if 45% of an item is 72.00 what is the original price. someone help me
Answer:
45% x 72.00 = 32.4
Step-by-step explanation:
hope this helped :)
Answer:
If 45% of an item is 72.00 what is the original price is, $160.00
Step-by-step explanation:
According to the Graffalo the slope line B is ?:
Answer:
yes ikr
Step-by-step explanation:
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
John drove 737 miles in 11 hours At the same rate, how many miles would he drive in 5 hours?
Answer:
Step-by-step explanation: 737/ 11= 67
sooooo 67 x 5= 335
A yurt, or circular tent, has a radius of 3 meters.
What is the area of the floor of the yurt?
Use 3.14 for π.
Enter your answer as a decimal in the box.
Answer:
area of yurt: 28.26 m²
formula:
area of circle: π * radius * radius
area of circle: πr²solving steps:
(3.14)(3)²
28.26 m²
Answer:
Radius of the circular tent (r) = 3 m
Area of the floor = Area of circle = π r²/π =3.14
Area of the floor = 3.14 x 3² = 28.26 m²
Step-by-step explanation:
# Jerry Don is here#
what is math for
like what do we use it for whats the point of math no one uses it
Answer:
The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.
Step-by-step explanation:
The Great Pyramid at Giza is a square-based pyramid with height 146 meters and a base that measures 230 meters on each side. What is the volume of the pyramid, in cubic meters?
Round your answer to the nearest cubic meter.
Answer:
The Volume of the Great pyramid will be "2586810 m³". A further solution is provided below.
Given:
Sides of length,
[tex]s = 230m[/tex]
Height,
[tex]h = 146.7m[/tex]
According to the formula,
The Volume (V) will be:
[tex]= \frac{1}{3} s^{2} h[/tex]
By substituting the values, we get
[tex]= \frac{1}{3} (230)^{2} * 146.7[/tex]
[tex]= \frac{1}{3} *520900 *146.7[/tex]
[tex]=\frac{1}{3} * 7760430[/tex]
[tex]= \frac{7760430}{3}[/tex]
[tex]= 2586810m^{3}[/tex]
Thus the above is the correct solution.
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can anybody please help me with this math problem?
Answer:
B. (15, 19)
Step-by-step explanation:
To check to see if a particular ordered pair is a solution to an equation, use the values for the variables and see if the equation is true.
A. 4/5(0) +7 = 7 ≠ 1
B. 4/5(15) +7 = 19 . . . . . . is a solution
C. 4/5(-5) +7 = 3 ≠ 11
D. 4/5(-2) +7 = 27/5 ≠ 1
__
A calculator can help with this.
No chi-square The principal in Exercise 7 also
asked the random sample of students to record
whether they did all of the homework that was
assigned on each of the five school days that week.
Here are the data:
Monday Tuesday Wednesday Thursday Friday
School day
Number who did
all homework
34
29
32
28
19
Explain carefully why it would not be appropriate
to perform a chi-square test for goodness of fit using
these data.
oh
The random sample of the students is an illustration of sampling
The chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.
How to determine the reason chi square is not appropriate?The dataset is given as:
Monday 34
Tuesday 29
Wednesday 32
Thursday 28
Friday 19
The variable of the above dataset is a not a categorical dataset.
One of the conditions of the chi-square test for goodness of fit test is that the variable under study must be categorical.
Hence, the chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.
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Write 16^1/4 as a power then evaluate
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] = [tex]\sqrt[4]{16}[/tex] = 2. To find the fourth root, find the number that repeats itself four times using multiplication. 2 x 2 x 2 x 2 = 16
A money box contains only 10-cent and 20-cent coins. There are 40 coins with a total value of $6.50. How many coins of each?
Answer:
10x+20y= 350
Step-by-step explanation:
Add the decimal. 3.50
Let's assume that all the coins are 10-cent coins.
The total value would be 10 x 40 = 400 cents = $4
So, it would be $2.5 less than the actual total value,
We now know that not all the coins are 10-cent coins, so now we will replace 1 10-cent coins with a 20-cent coins.
Everytime we switch a 1 10-cent coins to a 20-cent coins, the value go up 10 cents. So, we need to switch 25 times (to make the value goes up $2.5)
-> There are 25 20-cent coins and 15 10-cent coins
Recheck : 25 x 20 + 15 x 10 = 500 + 15 = 650 cents = $6.5
ABC has the following transformation rotated 90 degrees clockwise about the origin reflected across the y-axis and reflected again across the x-axis
Select the angle vertex that corresponds to angle A
Answer: Leftmost vertex
Step-by-step explanation:
The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. It is shot across a horizontal track then climbs up a vertical incline to a height of 139 m before stopping at the top. Ignoring friction and air resistance, what amount of kinetic energy must the coaster have before it goes up the incline?
Gravity 9.8 m/ ^2s
physical science!
Help pls
The kinetic energy that the coaster must have before it goes up is: 13.3megajoules.
What is kinetic energy?Kinetic energy refers to the energy that a body possesses due to its motion. It's known to be the energy needed to move a body of a given mass from rest to its stated velocity.
We can calculate the kinetic energy of the Kingda Ka roller in the following way:
K.E = Potential Energy
K.E = mgh
Where: m = mass = 9750
g = acceleration due to gravity = 9.8m/s²
h = height = 139m
Thus: K.E = 9750 x 139 x 9.8 = 13,281,450J
= 13.3megajoules.
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For the rotation 379°, find the coterminal angle from 0 <0 360°, the quadrant
and the reference angle,
To find the coterminal angle, it is similar to going around the entire circle once and then a bit more.
379 - 360 = 19
Coterminal Angle = 19 degrees
---All the way around and a bit more
Quadrant = 1
---Where the angle is
Reference Angle = 19 degrees
---Distance between the x-axis and the angle
Hope this helps!
The unit rate of change of y with respect to r is the amount y changes for a change of one unit in I.
is the unit rate of change of y with respect to r greater in the equation y = 0.25% or in the graph below?
Choose 1 answer:
The graph
The unit rates are the same.
The equation
Answer:
(.8-.4)/(2-1) =.4
SLOPE IS THE RATE OF CHANGE Answer: A
Step-by-step explanation:
What is the standard form of the equation of a parabola that opens left or right? A. Y = ax2 + bx + c B. X = ay2 + by + c C. X = a(y - v)2 + h D. Y = a(x - h)2 + v
Answer:
The equation of the parabola which opens left or right is (B) x= ay^2 + by + c
:)
The rectangle shown has a perimeter of 56 cm and the given area. Its length is 8 times more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Answer:
Dimensions of rectangle = 23 cm x 5 cm
Step-by-step explanation:
Equations we can form
Perimeter of 56 cm⇒ 2L + 2W = 56
⇒ L + W = 28
Length is 8 more than 3 times its width⇒ L = 3W + 8
Substitute in previous equation
⇒ 3W + 8 + W = 28
⇒ 4W = 20
⇒ W = 5 cm
⇒ L = 28 - 5 = 23 cm
If numerous large random samples or repetitions of the same size are taken from a population, the frequency curve made from proportions from the various samples will have what approximate shape?.
Using the Central Limit Theorem, the shape of the frequency curve will be approximately normal.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
Hence, the shape of the frequency curve will be approximately normal.
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The temperature during a winter day was less than –3 degrees Fahrenheit. Yuri wants to write an inequality for the temperature during the winter day. Yuri uses the variable t to represent the temperature. Which expression should Yuri write?
t greater-than negative 3
t greater-than 3
t less-than negative 3
t less-than 3
Answer:
The answer is t < -3
Step-by-step explanation:
t < -3 is the answer, because since the temperature is less than -3 degrees Fahrenheit it has to be t < -3
please help this question is hard (25 POINTS!!)
An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).
1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
What is the probability of rolling 2 even numbers?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/9
Step-by-step explanation:
Sum = 4: (1,3) (2,2) (3,1)
Sum = 12: (6,6)
4/36 = 1/9 or 0.111
hope that helps
The area of a room is 26.025 m sqaure. If its length is 12.5m . find the breadth of the room
Answer:
2.082.
Step-by-step explanation:
Solution,
Given,
Area ( A ) = 26.025 m².
Length ( L ) = 12.5 m.
Now,
Breadth ( B ) = Area ÷ Length.
= 26.025 ÷ 12.5
= 2.082.
Thus, The breadth of the room is 2.082 m.
HELP ASP PLEASE math
Answer: D
Step-by-step explanation:
[tex]3x^2-x+2=0[/tex]
[tex]\text{Solve \ with \ the \ quadratic \ formula \mathrm{for\:}\quad a=3,\:b=-1,\:c=2}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2}}{2\cdot \:3}[/tex] [tex]\rightarrow \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2} =\sqrt{1-24} =\sqrt{-23} =\sqrt{-1}\sqrt{23} =\sqrt{23}i[/tex]
[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{23}i}{2\cdot \:3}[/tex]
[tex]x_1=\frac{-\left(-1\right)+\sqrt{23}i}{2\cdot \:3},\:x_2=\frac{-\left(-1\right)-\sqrt{23}i}{2\cdot \:3}[/tex]
[tex]x_1=\frac{1+\sqrt{23}i}{6},\:x_2=\frac{1-\sqrt{23}i}{6}[/tex]
The sixth-grade art students are making a mosaic using tiles in the shape of right triangles. each tile has leg measures of 5 cm and 6 cm. if there are
150 tiles in the mosaic, what is the area of the mosaic?
a 10 cm2
b 2250 cm 2
c 165 cm2
d 4500 cm2
Answer:
Below in bold.
Step-by-step explanation:
The area of each triangle = 1/2 * height * base
As it is a right triangle the height is equal to one of its sides, so
Area of 1 triangle = 1/2 * 6 * 5
= 15 cm^2
Area of mosaic = 150 * 15
= 2250cm^2.
Impaired brain function as a result of drug use involves all of the following except: a. increased confusion b. errors in judgment c. memory loss d. increased concentration
Increased concentration is the answer as drug impairs our ability to control ourselves.
Hope it helps!
Impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.
What is impaired brain function?A significant deterioration in one or more domains of conscious mental activity, such as language, learning, and memory, that interferes with everyday function and independence are some of the traits of impairment of brain.
Thus, as we see, first three options are showing acts of impaired brain but the fourth option contradicts, as impairment from drug use isn't going to increase concentration and if it somehow does, then it isn't impairment.
Thus, impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.
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