To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE
The z-score with a confidence level of 95% is 1.96Reasons:
The margin of error, MOE, is required when finding a sample mean of a
statistic, which specifies the range within which the true mean is located;
The margin of error is given by the formula;
[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]
Where:
σ = The standard deviation of the population
n = The sample size
[tex]z^*[/tex] = The z-value based on the applied confidence level.
Using the associated standard normal distribution table, by finding the
area between the z-score and the negative z-score, we have that 95% will
be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%
Therefore;
The z-score at 95% = 1.96
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3. In the expansion of (ax^2+ by)^8 the coefficients of last two terms are -5832 and 6561, respectively.
Find the values of: a and b
Answer:
a = -0.33
b = 3
Step-by-step explanation:
(ax²+ by)⁸
by the 8th level of Pascal Triangle, the coefficient of last 2 terms are
8 a*b⁷ = -5832 ... last 2nd term 8 ab⁷ x²y⁷
b⁸ = 6561 ... last term b⁸y⁸
b = 3
a = -5832/(8*3⁷) = -0.33
I just woke up i need help ;-;
Answer:
i think that the correct answer is 7/12
lf the volume of a sphere= 4.5π cm³ then the radius length is .....?
Answer:
Radius = 3.232 cm to the nearest thousandth.
Step-by-step explanation:
Volume of a sphere = 4/3πr^3, so:
45π = 4/3πr^3 π is common to both sides, so:
45 = 4/3 r^3
r^3 = 45 * 3/4
r^3 = 33.75
r = 3.232 cm.
I wmat to sleep been doing work for an hour help me out
Answer:
A. 23, 37.....
B. 26, 42......
Step-by-step explanation:
have a great day!
Solve for g.
19 = 3g + 4
g =
Answer:
ANS is g=5
step 1: 3g=19-4
step2: or,3g=15
step 3: or,g=15%3
step 4: or,g=5
Hope it helps.
Can you give me BRAINLIEST ANSWER
THANK YOU
Write a system of linear inequalities represented by the graph?
Inequality 1:
Inequality 2:
Answer:
y > x - 2
y >= 5x + 1
Step-by-step explanation:
Linear inequalities represented by the graph are y>5x+1 and y>x-2
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The first line passes through the points
(0, 1) and (-1, -4)
The slope of line is m=-4-1/-1=5
Let us find the y intercept
1=5(0)+b
b=1
So the equation of line is y=5x+1
As the shading is outside so y>5x+1
Now let us find for 2nd line
(2, 0) and (-2, -4)
m=-4/-4=1
Now y intercept is 0=2+b
b=-2
So equation is y=x-2
As shading is outside so y>x-2
Hence, linear inequalities represented by the graph are y>5x+1 and y>x-2
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5. A factory produces 1000 cans of juices in 5 days. How many cans will it produce in 15
days?
Answer:
3000
Step-by-step explanation:
Does anyone know which one it is??
Answer:
Limited economic options
Step-by-step explanation:
Answer:
A i think
Step-by-step explanation:
do to the way peasants lived they did not have options most of the time
expand and simplify in its simplest form (x+7)(x-2)
Answer:
[tex](x + 7) - (x - 2)[/tex]
x²-2x+7x-14
Answer:
x2+5x-14
Step-by-step explanation:
x-8/2=-14
solve for x
Answer:
-20
Step-by-step explanation:
-14 x 2 = -28
-28 + 8 = -20
There you go :D
Answer:
-10
Step-by-step explanation:
first Solve for the fraction
-8/2= -4
x-4= -14
next add the negative 4 to 14
x=-10
and there's you're answer!
What is the greatest common factor of 15, 35, and 10?
Answer: The GCF of 10, 15, and 35 is 5.
Would appreciate brainliest <3
Answer:
5.
Step-by-step explanation:
First, we write them in prime factor form, then pick out the common factors.
15 = 3*5
35 = 5*7
10 = 2*5
So the GCF is 5.
Use the graph to complete the statements.
The car gets
30
miles to the gallon.
After the car has traveled?
miles, 2 and two-thirds how many gallons of gas have been consumed.
Answer:
The answer is 80 miles 2/23
Step-by-step explanation:
I hope this helps
Show that x^2-8x+20 can be written in the form (x-a)^2+a where a is an integer
Step-by-step explanation:
Let's complete the square
x²-8x=-20
x²-8x+(-4)²=-20+(-4)²
x²+(-4)²=-20+16
(x-4)²=-4
(x-4)²+4
where a is an integer as required
can someone please help
E, C, F are the answers.
Two trains leave a train station traveling on parallel and adjacent tracks. Train A is traveling due north at a constant speed of 76 miles per hour. Train B is traveling due south at a constant speed of 44 miles per hour. If both trains leave the station at the same time, in approximately how many minutes will the trains be 22 miles apart? O 11 O 18 O 60 o 98
Answer:
TWO TRAINS IM SORRY LOLLL
Answer:
18 minutes
Step-by-step explanation:
Translate the phrase into an algebraic expression.
The product of 6 and c
Answer:
c x 6 = x
Product judy basically means multiplication.
Can someone help me Expand 3(z+2)
Answer: 3z+6
Step-by-step explanation:
(3) (z+2)
(3) (z)+(3) (2)
3z+6
The temperature of a substance in an experiment changes by 8.7F from 10 am to 1p.m. At 5p.m., the temperature is 33.5°F. It
is 2/3 of what the temperature was at 1p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box
Answer:
138
Step-by-step explanation:
10
−
3
x
=
−
2
(
x
+
4
)
Answer:
x = 18
Step-by-step explanation:
10 − 3x = − 2 (x + 4)
=> 10 − 3x = -2x - 8
=> x = 18
Hoped this helped.
Answer:
x = 18
Step-by-step explanation:
10 - 3x= -2(x+4)
First, we solve inside the parentheses.
10 - 3x= -2x - 8
Like terms:
-3x + 2x= -10 - 8
-x/-1 = -18/-1
x = 18
2^-3 x 3^-2
what’s the answer?
Answer:
1/72Step-by-step explanation:
[tex]2^{-3} * 3^{-2} =[/tex][tex]1/2^3 * 1/3^2 =[/tex][tex]1/8*1/9=[/tex][tex]1/72[/tex][tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]
[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]
40 cans of food. 30% of cans damaged. how many cans were damaged?
Answer:
12 cans were damaged
EXPLANATION:
Cause When You Divide 4 To Divide 40, It Gives You 100% Calculation, And Subtract 30% from 100% it gives you 70%, which is 28 cans of food
Hurry please
Answer ASAP
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
17
Step-by-step explanation:
Answer:
The hypotenuse is 17.
Step-by-step explanation:
a^2+b^2=c^2.
Let's plug in a and b.
15^2 + 8^2 = c^2
Simply.
225+64=c^2
Add.
289=c^2.
Square 289 and c^2 to cancel out the ^2.
17=c
The hypotenuse is 17.
Hope I helped. :)
I put a picture
—PLEASE HELP
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft
Therefore it's Area is equal to : -
[tex]side \times side[/tex][tex]x \times x[/tex][tex] {x}^{2} [/tex]Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~
that is ~
[tex] {x}^{2} = \dfrac{1}{4} [/tex][tex]x = \sqrt{ \dfrac{1}{2} \times \dfrac{1}{2} } [/tex][tex]x = \dfrac{1}{2} \: \: feet[/tex]It's time to find the volume of cube that is ~
[tex](side) {}^{3} [/tex]So, let's plug the value of side length (1/2 ft)
Volume is equal to ~
[tex] { \bigg(\dfrac{1}{2} \bigg) }^{3} [/tex][tex] \dfrac{1}{8} \: \: ft {}^{3} [/tex]Hence, the required 1/8 or 0.125 ft³
I hope it helped ~
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
Answer:
Step-by-step explanation:
side=Base=x
Area=side * side
Area=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]
Substitute values in the above formula:
[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]=x * x
[tex]x^{2}[/tex]=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]
x=[tex]\frac{1}{2}[/tex]ft
Now,
The formula of volume of Cube:
Volume=x*x*x
Substitute the values of x=[tex]\frac{1}{2}[/tex]ft in the formula of Volume:
Volume=[tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft
Volume=[tex]\frac{1}{8}[/tex] [tex]ft^{3}[/tex]
If you need to ask any questions, please let me know.What is the remainder when the polynomial 8x2 4x−3 is divided by 2x−1?.
Answer:
Did the quiz :)
Step-by-step explanation:
Answer:
the answer is 1
Step-by-step explanation: i took the test hope this helps
help me please
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.
Given the expression
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
In order to simplify, note that the numerator and denominator of the fraction
[tex]\frac{(2r^2t)^3}{4t^2}[/tex]
have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.
To clear the numerator's bracket, note that
[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]
that was long. The shorter way was to do the following
[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]
so back to the original question, to simplify
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
we would do
[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]
Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms
[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]
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Carlos bought 17 boxes of cereal. This is 20% of the total boxes at the store. In order to find the total number of boxes at the store, what do you need to find?
A) the part
B) the whole
C) the percent
D) benchmark percent
Answer:
The whole
Step-by-step explanation:
If the part is 20% then you already have a part of a whole, now you need to find the entire thing
Write the phrase as an equation /
inequality
Four is twenty more than the number.
Help pls
Answer:
4 = 20 + n, where n is the number
Step-by-step explanation:
Here are a few key words to use when converting words to an equation
"is": =
"more": +
"less": -
"more than", "greater than": >
"less than": <
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.
x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36
Answer:
x2 + (y + 8)2 = 36
Step-by-step explanation:
:) took the test
The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
What is the Standard form of a Circle?Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Given that,
A circle has a diameter of 12 units.
So radius = 12 / 2 = 6 units
Center of the circle lies on the Y axis.
So the x coordinate of the center of the circle will be 0.
So, in (h, k), h = 0
So the equation will be of the form,
(x - 0)² + (y - k)² = 6²
x² + (y - k)² = 36
Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
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Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment AB¯¯¯¯¯ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)
Answer:
A. (8 2/5, 8 2/5)
Step-by-step explanation:
You want to find point P such that ...
AP : PB = 2 : 3
3AP = 2PB . . . . . . . . cross multiply
3(P -A) = 2(B -P) . . . recognize length XY = Y - X
5P = 3A +2B . . . . . collect P terms
P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5
P = (8 2/5, 8 2/5) . . . . matches choice A
