Answer:
-1.96
Step-by-step explanation:
Significance level or alpha level is the probability of rejecting the null hypothesis when null hypothesis is true. It is considered as a probability of making a wrong decision. It is a statistical test which determines probability of type I error. If the obtained probability is equal of less than critical probability value then reject the null hypothesis. In this question the sample of 500 defective tablets is under test. 20 tablets found to be defective so the null hypothesis is accepted as less than 6% of tablets are defective.
riangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L? Angle L is a base angle and measures 36°. Angle L is a base angle and measures 72°. Angle L is a vertex angle and measures 36°. Angle L is a vertex angle and measures 72°.
Answer:
Angle L is a base angle and measures 72°.
Step-by-step explanation:
Triangle JKL is isosceles.
The measure of angle J is 72°
The measure of angle K is 36°
Angles in a trinagle add up to 180° so angle L is;
180° - (36° + 72°) = 72°
An isosceles triangle means that two of its sides are equal and two base angles are equal. So base angles are angles J and L and measures 72° each.
Answer:
I think it's B
Step-by-step explanation:
I hope this helps.
Find the sum of the first six terms in the sequence (1,5,9,13....)
Answer:
The sum is 66
Step-by-step explanation:
There are a couple formulas to remember.
aₙ = a₁ + d(n-1)
Sₙ = [tex]\frac{n}{2}[/tex] · (a₁ + aₙ)
In your case "d" equals 4 and a₁ equals 1, that's how we know what the sequence will progress.
Let's plug in the values for the first equation:
aₙ = 1 + 4 (n-1)
Next we can simplify:
aₙ = 1 + 4n-4
aₙ = 4n - 3
Now we can plug in the value for "n" which is 6 for this particular problem:
a₆ = 4 · 6 - 3
a₆ = 21
We can now use the second equation to find the sum:
S₆ = [tex]\frac{6}{2}[/tex] · (1 + 21)
S₆ = 66
Hope this helps =)
HELPPPPLPPPPPPPPPPPPPPPPPP
Answer:
1). 18
Step-by-step explanation:
1). The numbers above are real numbers but on a care ful look the number below it is a squrea of the number above but it's position ois swapped.
What am I saying., Let's take for example the number 4.
4² = 16 but what's written is 61
Let's take 5
5² = 25 but what's written is 52
Let's take 6
6² = 36bl but what's written is 63.
So as for 9
9²= 81 but what will be in the box = 18
2).this number two is something special
NEED HELP! What is the first step to solve the equation a=2d/t^2 , where a is acceleration, d is the distance, and t is time. If an object accelerates at a rate of 2(m/s^2) for 10 meters, what is the total time elapsed?
Plug in a = 2 m/s^2 and d = 10 m, and solve for t (in s):
[tex]a=\dfrac{2d}{t^2}\iff2\dfrac{\rm m}{\mathrm s^2}=\dfrac{2\cdot10\,\mathrm m}{t^2}[/tex]
[tex]\implies t^2=\dfrac{20\,\rm m}{2\frac{\rm m}{\mathrm s^2}}=10\,\mathrm s^2[/tex]
[tex]\implies t=\sqrt{10}\,\mathrm s[/tex]
So the answer is C.
Which of the following lines are parallel to Y = -3X + 2?
A. Y = 1/3 X - 2
B. Y = -3X
C. Y = 4 - 3X
Answer:
B. Y = -3X
C. Y = 4 - 3X
Step-by-step explanation:
Y = -3X + 2
This is in the form y= mx +b where m is the slope
The slope is -3
Parallel lines have the same slope
A. Y = 1/3 X - 2 the slope is 1/3
B. Y = -3X The slope is -3
C. Y = 4 - 3X Y = -3x+4 the slope is -3
The volume of wine in liters produced by a parcel of vineyard every year is modeled by a Gaussian distribution with an average of 100 and a variance of 9. Find the probability that this year it will produce 115 liters of wine
Answer:
0.99865
Step-by-step explanation:
The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.
To solve the above question, we would be using the z score formula
The formula for calculating a z-score
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
In the above question,
x is 115 liters
μ is 100
σ is the population standard deviation is unknown. But we were given variance in the question.
Standard deviation = √Variance
Variance = 9
Hence, Standard deviation = √9 = 3
We go ahead to calculate our z score
z = (x-μ)/σ
z = (115 - 100) / 3
z = 15/ 3
z score = 5
Using the z score table of normal distribution to find the Probability of having a z score of 5
P(x = 115) = P(z = 5) =
0.99865
Therefore the probability that this year it will produce 115 liters of wine = 0.99865
A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is cubic units. A cylinder with the same height and radius as the cone will have a volume of cubic units. If a sphere has the same radius as the cylinder, its volume is the volume of the cylinder.
The above question is not complete because it was not written and arranged properly
Complete Question
1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.
2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.
3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder.
Answer:
1) Volume of the cone = 134.04cubic units
2)Volume of the cylinder = 402.12cubic units
3) Volume of the sphere= 268.08 cubic units. Hence, if a sphere has the same radius as the cylinder, its volume is 2/3 times the volume of the cylinder.
Step-by-step explanation:
1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.
Volume of a cone = 1/3πr²h
h = 8 units
r = 4 units
Volume = 1/3 × π × 4² × 8
134.04cubic units
2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.
Volume of a cylinder = πr²h
Height and radius is the same as that of the cones hence,
h = 8 units
r = 4 units
= π × 4² × 8
= 402.12cubic units.
3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder.
Volume of a Sphere = 4/3πr³
r = radius of the cylinder = 4 units
Volume of a Sphere = 4/3 × π × 4³
= 268.08 cubic units.
From the above question, we are asked to compare the volume of the sphere with the volume of the cylinder
Volume of the sphere : Volume of the cylinder
268.08 cubic units : 402.12 cubic units
268.08/402.12 = 2/3
Therefore, the volume of the sphere is 2/3 times the volume of the cylinder
Which interval contains a local minimum for the graphed
function?
Answer:
[2.5 ,4]
Step-by-step explanation:
The graph in this interval has a vertex while opening up wich means it's a minimum
What property do rectangles and parallelograms always share?
Fill in the blank. For data sets having a distribution that is approximately bell-shaped, _______ states that about 68% of all data values fall within one standard deviation from the mean
Answer:
Empirical Rule
Step-by-step explanation:
The Empirical Rule is also known as the Sigma rule or the 68-95-99.7% rule. The rule state that for a given data set, 68% of all data values will fall within the first standard deviation from the mean. The rule also states that 95% of all data values would fall within two standard deviations, while almost all the data which amounts to about 99.7% will fall within three standard deviations.
The empirical rule is used in forecasting based on the given datasets because it is a certainty that after obtaining the standard deviation, data values can be assigned to the categories they fall into, under the Empirical rule.
6th grade math, help me please
Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
[tex] \frac{42}{100} \times 350 = 147[/tex]
A section of concrete pipe 3.0 m long has an inside diameter of 1.2 m and an outside diameter of 1.8 m. What is the volume of concrete in this section of pipe?
Answer:
4.24m³
Step-by-step explanation:
The inside diameter of 1.2 m of the pipe
Radius of the inside pipe = Diameter/2 = 1.2/2 = 0.6m
The outside diameter of 1.8 m
Radius of the outer of the pipe = 1.8/2 = 0.9m
Height of the pipe = 3.0m
A Pipe looks like the shape of the cylinder. Hence,
Volume of concrete in the pipe = Volume of the outer section of the Pipe - Volume of the inner section of the pipe
Volume of the outer section of the Pipe = πr²h
h = 3.0m
r = 0.9
= π × 0.9² × 3.0
= 7.63m³
Volume of the inner section of the Pipe = πr²h
h = 3.0m
r = 0.6
= π × 0.6² × 3.0
= 3.39m³
Volume of concrete in the pipe = Volume of the outer section of the Pipe - Volume of the inner section of the pipe
= 7.63m³ - 3.39m³
= 4.24m³
Therefore, volume of concrete in the pipe is 4.24m³
A restaurant has two different seating options: a table and a family booth. A table can seat 2 people, and a family booth can seat 6 people. The restaurant has a maximum capacity of 120 people. If the restaurant has 15 family booths, which inequality could be used to find t, the number of tables in the restaurant
Answer:
t ≤ 15
Step-by-step explanation:
Let t = tables
6 * 15 + 2* t ≤ 120
90 + 2t ≤ 120
2t ≤ 30
t ≤ 15
I will award you brainlist
Based only on the information given in the diagram, it is guaranteed that
АВС- DEF.
A. True
B. False
Answer:
TRUE
Step-by-step explanation:
We are given 2 triangles, ∆ABC and ∆DEF.
For the two trinagles to be considered similar, both must have their set of corresponding angles congruent to each other. That is, their corresponding angles are equal.
From the information given, the following are the set of corresponding angles:
<B = <E = 31°
<B = <D = 90°
<C = <F = 59° [180 - (90+31)]
The corresponding angles of both triangles are congruent. Therefore, it is guaranteed that ∆ABC is similar to ∆DEF (∆ABC ~ DEF).
Add (7.8x10^5+(2.4x10^5)
answer: 1020000
step-by-step explanation:
(7.8*10^5+(2.4*10^5) given expression
(7.8*10^5)+(2.4*10^5) group with parenthesis
(7.8+2.4)*10^5 combine like terms
10.2*10^5 preform addition
10.2*100000 evaluate the exponent
1020000 multiply out
Which algebraic description maps the point (x, y) 8 units to the left and 12 units up? Question 14 options: A) (x, y) → (x – 8, y + 12) B) (x, y) → (x – 12, y + 8) C) (x, y) → (x + 12, y – 8) D) (x, y) → (x + 8, y – 12)
The algebraic description maps the point (x, y) 8 units to the left and 12 units up is (x, y) -> (x - 8, y +12)
Translation of coordinatesTranslation is the way of changing the position of an object on an xy plane.
If the coordinate points (x, y) is translated 8 units to the left and 12 units up, the resulting coordinate will be:
(x, y) -> (x - 8, y +12)
Hence the algebraic description maps the point (x, y) 8 units to the left and 12 units up is (x, y) -> (x - 8, y +12)
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HELPNEEDED.Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate.
What is the probability that the pianist will be a boy and the alternate will be a girl?
30%
40%
50%
60%
what's the answer? and how to do this?
Answer:
79 degrees
Step-by-step explanation:
There's a bunch of theorems you have to memorize.
This is an inscribed angle.
The measure of angle RST is 1/2 of the intercepted arc.
<RST = 1/2(158) = 79
Look at this triangle work out length BC
Answer:
The length of BC is √105 cm or 10.2 cm.
Step-by-step explanation:
You have to apply Pythagoras Theorem, c² = a² + b² where c represents hypotenuse, a and b are the sides :
[tex] {c}^{2} = { a}^{2} + {b}^{2} [/tex]
[tex]let \:a =BC \:, \: b = 8 \: , \: c = 13[/tex]
[tex] {13}^{2} = {BC}^{2} + {8}^{2} [/tex]
[tex]169 = {BC}^{2} + 64[/tex]
[tex] {BC}^{2} = 169 - 64[/tex]
[tex] {BC}^{2} = 105[/tex]
[tex]BC = \sqrt{105} [/tex]
[tex]BC = 10.2 \: cm \: (3s.f)[/tex]
Answer:
[tex] \boxed{\sf Length \ of \ BC = \sqrt{105} \ cm} [/tex]
Given:
AB = 13 cm
AC = 8 cm
To Find:
Length of BC
Step-by-step explanation:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
[tex] \therefore \\ \sf {AC}^{2} + {BC}^{2} = {AB}^{2} \\ \sf \implies {8}^{2} + {BC}^{2} = {13}^{2} \\ \\ \sf {8}^{2} = 64 : \\ \sf \implies 64 + {BC}^{2} = {13}^{2} \\ \\ \sf {13}^{2} = 169 : \\ \sf \implies 64 + {BC}^{2} = 169 \\ \\ \sf Substract \: 64 \: from \: both \: sides : \\ \sf \implies (64 - 64) + {BC}^{2} = 169 - 64 \\ \\ \sf 64 - 64 = 0 : \\ \sf \implies {BC}^{2} = 169 - 64 \\ \\ \sf 169 - 64 = 105 : \\ \sf \implies {BC}^{2} = 105 \\ \\ \sf \implies BC = \sqrt{ 105 } \ cm [/tex]
So,
Length of BC = [tex] \sqrt{105} [/tex] cm
Which ordered pair is a solution of the equation? -x-4y=-10 A: (3,2) B: (-3,3) C: Both D: Neither
Answer:
D
Step-by-step explanation:
we let that,
(3,2)=(x,y)
given the equation that,
x-4y=10
so,we substitute the values of (x,y)=(3,2)it become
3-4(2)=-5
and test another coordinates(-3,3)
-3-4(3)=-15
botha answers doesn't give 10 as the answer so the answer is D(neither)
Arrange the cards below to show the solution to 40.091 x 10³
Answer:
40091.
Step-by-step explanation:
Multiply 40.091 by 10 three times to get the answer.
40.091 * 10 = 400.91
400.91 * 10 = 4009.1
4009.1 * 10 = 40091.
The expression 40.091 x 10³ can be represented as 40091.
What are exponents?The term xⁿ, read as x to the power n, shows an exponent n, which implies x is multiplied by itself n times.
How to solve the given question?In the question, we are asked to arrange the cards showing '.', '0', '0', '1', '4', and '9', to show the solution to the expression 40.091 x 10³.
Now, 10³ is 10 to the power 3, where 3 is the exponent, so 10 is multiplied by itself 3 times = 10*10*10 = 1000.
Now, the expression 40.091 x 10³ = 40.091 * 1000 = 40091.
∴ The expression 40.091 x 10³ can be represented as 40091.
Learn more about exponents at
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PLZ HELP IM STUPID. A teacher surveyed her class to find out how many texts the students send in a week. She created this box plot to show the data. Find the interquartile range. 50 points!
Answer:
236
Step-by-step explanation:
The interquartile range is the right edge of the box minus the left edge of the box
The right edge of the box is 301
The left edge of the box is 65
301 -65 =236
The interquartile range is 236
Answer:
65
Step-by-step explanation:
To find interquartile range, you substract upper quartile( 130 in this problem) and the lower quartile(65 in this problem)
Finally, you get the answer 65.
Hope this helps!
The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass. Starting with 210 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram
Answer:
3 grams will be left after 6 half-lives
Step-by-step explanation:
Half-live:
Time it takes for the substance to be reduced by hall.
After n half lives:
The amount remaing is:
[tex]A(n) = A(0)(0.5)^{n}[/tex]
In which A(0) is the initial amount and n is the number of half-lives.
Starting with 210 grams of a radioactive isotope, how much will be left after 6 half-lives?
This is A(6) when A(0) = 210. So
[tex]A(n) = A(0)(0.5)^{n}[/tex]
[tex]A(6) = 210(0.5)^{6} = 3.3[/tex]
Rounding to the nearest gram
3 grams will be left after 6 half-lives
what is 99/00+44(55)99
Answer:
undefined! one cannot divide by 0
Step-by-step explanation:
Answer:
undefined!
Step-by-step explanation:
The quadratic coefficient (the number multiplying t^2) depends only on gravity, and will be the same in all free-fall situations. Using the value determined from the experiment earlier, how tall is the balcony in the video, if it takes 1.4 seconds for the ball to hit the ground?
Height: ________ meters (to at least 1 decimal place)
Answer:
239 who are you
Step-by-step explanation:
The endpoints of WX are W(2,-7) and X(5,-4). What is the length of WX?
Answer:
WX = 3√2 unitsStep-by-step explanation:
Using the formula for calculating the distance between two points to calculate the length of WX.
D = √(y₂-y₁)²+(x₂-x₁)²
Given the endpoints W(2,-7) and X(5,-4), x₁ = 2, y₁ = -7, x₂ = 5 and y₂ = -4
Substituting this values into the formula to get the length of WX will give;
WX = √(-4-(-7))²+(5-2)²
WX = √(-4+7)²+3²
WX = √3²+3²
WX = √18
WX = √2*9
WX = 3√2 units
Hence the length of WX is 3√2 units.
Answer:
3[tex]\sqrt{2}[/tex]
Hope this helps!
Step-by-step explanation:
Question 7 of 25
If F(x) = 2x-5 and G(X) = x2 + 1, what is G(F(x))?
O A. 4x2 + 26
O B. 2x2 + 2x-5
O C. 4x2 - 20x + 26
O D. 2x3-5
Answer: C
Step-by-step explanation:
G(F(x)) means F(x) is being plugged into every x in G(x). Since we are given the G(x) and F(x) functions, we can directly plug 2x-5 into x²+1.
G(F(x))=G(2x-5)
G(F(x))=(2x-5)²+1 [use FOIL method to expand (2x-5)²]
G(F(x))=(4x²-10x-10x+25)+1 [combine like terms]
G(F(x))=4x²-20x+26
Now that we have found G(F(x))=4x²-20x+26, we know that the answer is C.
If a gang of eight rob a bank, what percent of the loot belongs to three of the robbers? What percent belongs to them if two of the gang are killed? By what percent does each robber’s share increase? What percent belongs to three of them? What percent belongs to them if two of the gang are killed? Each robber's share increases by how much percent?
Answer:
(assuming all members of the gang get equal percentages)
For a gang of 8: 12.5% (100/8)
If 2 are killed: 16.67% (100/6), so percentage increases by roughly 4.2% (16.67-12.5)
Percent that belongs to 3: 12.5%*3=37.5%
Percent that belongs to 3 if 2 are killed: 16.67%*3=50.0%
Each robber's share still increases by 4.2% (50%-37.5%=12.5%, 12.5%/3=4.2%)
If you would like additional help with math or another subject, check out growthinyouth.org!
Step-by-step explanation:
Please help. I’ll mark you as brainliest if correct!
Answer:
The cheap one is 8 while the costly one is 17.5
Step-by-step explanation:
Let the cheaper candle be x
And the costly candle b y
X+y = 25.5.... equation one
2.20x +7.3y = 25.5(5.7)
2.2x + 7.3y = 145.35....equation two
Solving simultaneously
X+y = 25.5
2.2x + 7.3y = 145.35
2.2X+2.2y = 56.1
2.2x + 7.3y = 145.35
5.1y= 89.25
Y= 17.5
X+y = 25.5
X+ 17.5 = 25.5
X= 25.5-17.5
X= 8
The cheap one is 8 while the costly one is 17.5
I have 5 eggs, I broke 2, I cooked 2 and I ate 2, how many do I have left?
Answer:
Step-by-step explanation:
To decipher how many eggs you have left, we must read the statement well.
I have 5 eggs if I break 2 eggs it is to cook them and when they are cooked they will be eaten, so we simply do the following:
5 -2= 3
Now you only have 3 eggs left.
Step-by-step explanation:
Given:
5 eggs
Required:
Number of eggs after breaking, cooking and eating 2.
Solution:
I won't count the eggs as 6.
Broken=cooked=eaten=2
5-2=3
Hope it helps ;) ❤❤❤