Answer:
A sample size of 385 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
You feel that a reasonable estimate of the standard deviation is 10.0 hours.
This means that [tex]\sigma = 10[/tex]
What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?
A sample size of n is needed. n is found when M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{10}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (1.96*10)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up:
A sample size of 385 is needed.
Solve for x.
3x - 4 = 2x - 10
O x = 6
OX= -6
OX= 14
O x=-14
Please help
Will give you brainly
Answer:
x = -6
Step-by-step explanation:
We have the equation 3x - 4 = 2x - 10 and are asked to find "x".
To solve , we need to get "x" alone entirely.
3x - 4 = 2x - 10
Subtract 2x from both sides :
x - 4 = -10
Add 4 to both sides to get our answer :
x = -6
Answer:
the answer is equal to-6
Mercedes is helmet diving at a location of -20 feet. The breathing tube attached to her helmet reaches an oxygen tank at a location of 12 feet.
Which of the following expressions represents
the length, in feet, of the breathing tube attached
to Mercedes' helmet?
(A) |--20 – 12
(B) |--20 + 12
(C) 20 – 12
(D) -20 + 12
Answer: B
Step-by-step explanation:
¿Cual es el diámetro del círculo que se puede trazar con un compás cuyo brazos miden 10 cm y forman un ángulo 34?
Answer:
Sorry that it is in english.
Step-by-step explanation:
The arms of the compass mesure the radius.
[tex]r=10\\2r=diamater (d)\\2*10=d\\20=d[/tex]
what is more 2 liters or 2 deciliters
Answer:
2 liters.
Step-by-step explanation:
These measurement units are part of the metric system. Unlike the U.S. customary system of measurement, the metric system is based on 10s. For example, a liter is 10 times larger than a deciliter, and a centigram is 10 times larger than a milligram.
Hope this helps!!<333
Answer:
a liter is 10 times larger than a deciliter, so yes, it is more.
This morning, Manny took a history test. There were 50 multiple-choice problems on the test
and Manny answered 10% of them correctly. How many problems did Manny get right?
Answer:
He got 5 right
Step-by-step explanation:
10% = 0.1
50(0.1) = 5
Answer:
5 questions were answered correctly
Step-by-step explanation:
10% of 50 is 5. So that means 5 questions were answered correctly.
Which object is located at the point (4.3)
A. Star
B. Circle
C. Triangle
D. Rectangle
Which one is it help me pls
Find the limit when X approaches zero
2xsinx/1-cosx
Answer:
4
Step-by-step explanation:
[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]
[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]
[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]
[tex] =2(1+\cos 0) \times 1 [/tex]
[tex] = 2(1+1) [/tex]
[tex] = 2(2) [/tex]
[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]
Which expression is equivalent to root 36/25
Answer:
6/5
Step-by-step explanation:
√36/25 =6/5
because root 36 is 6 and root 25 is 5.
<4 and 45 are alternate interior
angles. Find the measure of 4
Answer:
115%
Step-by-step explanation:
5 is completely irrelevant, Vertical angles are congruent.
INDEPENDENT PRACTICE 3. Teresa makes a circular pizza with a 14-inch diameter. Which is the approximate area of her pizza? A. 43.96 in? B. 87.92 in2 C. 153.86 in2 D. 615.44 in?
A. 43.96in?
Step_by_step explanationBob took out a 5 year loan for $4000 and paid 3% annual simple interest
Bill took out a 4 year loan for $4000 and paid 5% annual simple interest
What is the sum of amounts of interest bob and bill paid for their loans
A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?
Answer:
isosceles triangle
Step-by-step explanation:
2 sides the same
Attempt 1 of 2
<< <
1
2
Find the vertices for the ellipse with the given equation.
x2 + 9y2 + 2x + 18y + 1 = 0
Answer:
is this quadratic equation
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
9514 1404 393
Answer:
cylinder and cone256π ≈ 804.25 m³Step-by-step explanation:
The figure is a composite of a cylinder added to a cone.
The height of the conical portion is (20 m -14 m) = 6 m. We know that the volume of a cone is 1/3 the volume of a cylinder with the same dimensions. Another way to think of that is the volume of a cone is the same as that of a cylinder of 1/3 the height.
So, this figure has a volume equivalent to that of a 14 m tall cylinder topped by a (6 m)/3 = 2 m tall cylinder. Effectively, we're seeking the volume of a cylinder of radius 4 m and height 16 m.
V = πr²h
V = π(4 m)²(16 m) = 256π m³ ≈ 804.248 m³
The volume of the "silo" is 256π ≈ 804.25 m³.
_____
If you use 3.14 for π, you will get 803.84 m³.
Please help me giving brainliest
Answer:
42cm^2
3x2=6x7=42
Step-by-step explanation:
What type of polynomial is 14x2 + 3x – 15?
Answer:
Step-by-step explanation:
There are three terms. So, 14x² + 3x -15 is a trinomial
quare cm
Read the following problems. Sketch each shape and label it.
Then, answer the questions, showing your work below each questions
(Gehad drew a square that has side lengths of 8 cm.
o
SU
The Perimeter =
The Area =
...
X
5
Find the value of x. Show work to prove your answer.
(3x +
18)
93°
Answer:
x=34.5
Step-by-step explanation:
(3x+18)° and 93° lie along a straight line. The angles in a straight line add up to 180. So:
3x+18+93=`80
2x=180-111
x=69/2
x=34.5
The ___ is the ratio of a length of the new figure to the corresponding length on the original figure
A bag contains 9 orange marbles and 36 green marbles. If a representative sample contains 2
orange marbles, then how many green marbles would you expect it to contain? Explain.
Because the ratio of orange marbles to green marbles is in the population, the expected number
of green marbles is times the number of orange marbles in the representative sample. There
should be green marbles.
Answer:
U can divide or multiply
Step-by-step explanation:
Ms McNaughton solved the equation below:
8x = 64
8x − 8 = 64 − 8
x = 56
Did she solve the equation correctly or incorrectly? (1 points) If the solution is correct, explain the steps she took to find the solution. If the solution is incorrect, show the correct steps to solve the equation. (4 points)
Answer:
she solved it incorrectly
Step-by-step explanation:
8x=64
8x÷8=64÷8
x=8
Answer:
no she did not
8x=64
÷8 ÷8
x=8
Step-by-step explanation:
simple
I need help with this
please help me out, god bless you. dont answer with a link or just steal points plz, I really need help
Answer:
x = 12 radical 2 ithink these is ansewer
help please ! solve for u and simplify the answer
Answer:
u = 5
Step-by-step explanation:
[tex]\frac{u + 7}{15} = \frac{4}{5}[/tex]
We want to solve for u. This means we need to isolate u on one side of the equation.
To do this, first multiply both sides by 15. This will cancel out the denominator on the left side.
[tex]u + 7 = (\frac{4}{5})(\frac{15}{1})[/tex]
Multiply the numerators and denominators separately.
4 • 15 = 60
5 • 1 = 5
[tex]u + 7 = \frac{60}{5}[/tex]
Simplify the fraction.
60 ÷ 5 = 12
u + 7 = 12
Subtract 7 from both sides.
u = 5
Check your work by plugging u = 5 back into the original equation.
[tex]\frac{5 + 7}{15} = \frac{4}{5}[/tex]
[tex]\frac{12}{15} = \frac{4}{5}[/tex]
[tex]0.8 = 0.8[/tex]
Your answer is correct.
Hope this helps!
Answer:
5 is your answer for u.
Step-by-step explanation:
Note the equal sign, what you do to one side of the equation, you do to the other.
First, multiply 15 and 5 to both sides of the equation (to get rid of the denominators):
[tex]15 * 5 * (\frac{u + 7}{15}) = (\frac{4}{5}) * 5 * 15\\5 * (u + 7) = 4 * 15[/tex]
First, distribute the 5 to all terms within the parenthesis. Also, simplify the right side by multiplying:
[tex]5 * (u + 7) = 4 * 15\\(5 * u) + (5 * 7) = (4 * 15)\\5u + 35 = 60[/tex]
Next, isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 35 from both sides, and then divide by 5 to isolate the variable, u:
[tex]5u + 35 = 60\\5u + 35 (-35) = 60 (-35)\\5u = 60 - 35\\5u = 25\\\\\\\frac{5u}{5} = \frac{25}{5} \\u = \frac{25}{5} = 5\\u = 5[/tex]
Question 5 of 10
Which solid has a greater volume?
O A. Figure A has a greater volume.
B. Figure B has a greater volume.
22
O C. They are equal.
OD. It cannot be determined.
SUBMIT
Answer:
C. They are equal
Step-by-step explanation:
Both have the same volume 24
Both Figure have same Volume.
What is Volume?Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.
We have,
Cone:
Volume of Cone = 1/3 πr²h
= 1/3 (3.14)(3)²8
= 75.36 unit³
Cylinder:
Volume of Cylinder = πr²h
= (3.14)(2)²6
= 75.36 unit³
Thus, Both figures have Equal volume.
Learn more about Volume here:
https://brainly.com/question/1578538
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Find the missing angle and round to the nearest tenth! Thank you :)
Which net represents this solid figure?
Rectangular prism 5.
Net of a rectangular prism 10.
Net of a cube 4.
Net of a rectangular prism 9.
Net of a triangular prism 10.
Answer:
Net of rectangular prism 9
Step-by-step explanation:
I took the test
Solve the following system of equations.
-3x+5y=-7
-7x-9y=25
Answer:
(x,y)=(-1.-2)
Step-by-step explanation:
Using the elimination method:
-27x+45y=-63
-35x-45y=125
---------------------
-62x=62-->x=-1
-3*(-1)+5*6=-7-->y=-2
Constance has an apple that weighs 85,000 milligrams and a peach that weighs 0.15 kilograms. Which fruit has the greater mass? Choose the words and numbers to complete the statements. Convert the masses of both fruits to the same unit.
Answer:
The peach will way more then the apple
Hope this helps you ☜(ﾟヮﾟ☜)
The weight of the peach is greater than the weight of apple
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the weight of apple be = 85,000 milligrams
And , let the weight of the peach be = 0.15 grams
Now , from the unit conversion
1 gram = 1000 milligrams
And , 1 kilogram = 1000 grams
So , the weight of apple A = 85 grams
And , the weight of the peach P = 150 grams
Therefore , P > A
Hence , weight of peach is larger
To learn more about unit conversion click :
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in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.
NOT A MULTIPLE CHOICE
1a. Write a model giving the amount E of energy t years after 1980.
1b. Use your model determine how much wind energy was generated in 1984.
1c. Determine the year when 80 gigawatt-hours of energy were generated.
9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.