Answer:
0.50
Step-by-step explanation:
The mean = 3 + 5 + 6+ 3 +2+ 2+ 1+0+ 0+ 4+ 7+ 4+ 5 + 5 + 6) / 15
= 53/15
= 3.533
Difference of values from the mean:
n n - 3.533 (Absolute value)
3 0.533
3 0.533
6 2.467
3 0.533
2 1.533
2 1.533
1 2.533
0 3.533
0 3.533
4 0.467
4 0.467
5 1.467
5 1.467
6 2.567
7 3.467
Totals:
53 26.533
So the M.A.D. = 26.533 / 53 = 0.50
The radius of a semicircle is 9.1 centimeters. What is the semicircle's perimeter?
Answer:
28.6 cm
Step-by-step explanation:
Given radius of semicircle (r) = 9.1 cm
perimeter of a semicircle = πr
= 22/7 × 9
= 22 × 1.3
= 28.6
Jason cycles 14.5 km in 50 min. Express his speed in km/h.
Answer:
i got 17.4km/H pretty sure im right
What is the equation of this line in slope-intercept form?
Answer:
y = -2x + 5
Step-by-step explanation:
Slope-intercept form: y = mx + b
The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.
The y-intercept, b, is 5 because the line crosses that number once on the y-axis.
Find the ratio of 4cm and 8mm
Answer:
5 : 1
Step-by-step explanation:
Unit conversion (between cm and mm) : 1 cm = 10 mm
⇒ 4 cm : 8 mm
⇒ 4 x 10 mm : 8 mm
⇒ 40 mm : 8 mm
⇒ 5 : 1
A ball is thrown upward from a height of 15 ft with an initial velocity of 5 ft/s. Use the equation h=-16t^2+5t+15 to answer the following questions. Round to the nearest tenth.
How long will it take for the ball to hit the ground (h=0)?
What is the height of the ball after 0.5 seconds?
Answer:
1) 1.1 seconds
2) 13.5 feet
Part A[tex]\rightarrow \sf -16t^2 + 5t + 15 = 0[/tex]
Apply quadratic formula:
[tex]\rightarrow \sf t= \dfrac{-5\pm \sqrt{5^2-4\left(-16\right)\cdot \:15}}{2\left(-16\right)}[/tex]
Simplify following
[tex]\rightarrow \sf t=-\dfrac{-5+\sqrt{985}}{32},\:t=\dfrac{5+\sqrt{985}}{32}[/tex]
In decimal form:
[tex]\rightarrow \sf t=-0.825 ,\:t=1.137[/tex]
Conclusion:
As time is be only positive: t = 1.1 seconds
Part B
[tex]\rightarrow \sf h=-16t^2 + 5t + 15[/tex]
insert t = 0.5
[tex]\rightarrow \sf h=-16(0.5)^2 + 5(0.5) + 15[/tex]
simplify
[tex]\rightarrow \sf h=13.5[/tex]
How large should n be to guarantee that the Simpson's Rule approximation to 1 7ex2 dx 0 is accurate to within 0.0001
We need a maximum enlargement of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.
What is the estimation of the accuracy of Simpon's Rule?The estimation of Simpson's rule follows an approach where the value of the definite integral [tex]\int\limits^a_b f{x} \, dx[/tex] is approximated by using a parabolic method of approximation for each subinterval of the interval [a, b].
The formula for calculating Simpon's rule can be expressed as:
[tex]\mathbf{\int ^b_a f(x) d \simeq \dfrac{\Delta x}{3}[y_o+4y_1+2y_2+4y_3+2y_4+...+4{y_{n-1} +y_n}}[/tex]
Given that:
[tex]\mathbf{\int ^1_0 7ex^2 dx }[/tex],
where a = 0, b = 1, [tex]\mathbf{f(x) = 7 e^{x^2}}[/tex]We need to determine the fourth derivative; i.e.
[tex]\mathbf{f'(x) = 14xe^{x^2}}[/tex]
[tex]\mathbf{f''(x) = 14ex^2 +28x^2e^{x^2} = (14+28x^2)e^{x^2}}[/tex]
[tex]\mathbf{f'''(x) = 56xe^{x^2} +2(14+28x^2)e^{x^2} = (84x+48x^3)e^{x^2}}[/tex]
[tex]\mathbf{f^{iv}(x) = (84+144x^2)e^{x^2} +2x(84x+48x^3)e^{x^2} = (84x+312x^2+96x^4)e^{x^2}}[/tex]
The maximum value of the 4th derivative on the interval [0,1] is:
[tex]\mathbf{f^{iv}(1) = 624e}[/tex] and the error is bounded by:
[tex]\mathbf{\Bigg| \dfrac{f^{iv}(1) (1-0)^5}{180n^4} \Bigg| = \dfrac{624e}{180n^4}=\dfrac{52e}{15n^4}}[/tex]
Now for the error to be less than 0.0001; we have:
[tex]\mathbf{\dfrac{52e}{15n^4} < 0.0001}[/tex]
[tex]\mathbf{52e < 0.0015n^4}[/tex]
[tex]\mathbf{n^4 > \dfrac{52e}{0.0015}}[/tex]
[tex]\mathbf{n > \sqrt[4]{ \dfrac{52e}{0.0015}}}[/tex]
n ≅ 17.52.
Therefore, we can conclude that we need a maximum of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.
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What is the volume of a sphere with a radius of 6 mm? sphere v = four-thirds pi r cubed v = 216pi mm3 v = 288pi mm3 v = 512pi mm3 v = 648pi mm3
Answer:
[tex]V =288 \pi \ mm^3[/tex]
Step-by-step explanation:
[tex]V =\frac{4}{3} \pi r^{3}[/tex]
[tex]=\frac{4}{3} \pi \left( 6\right)^{3}[/tex]
[tex]=\left( \frac{4}{3} \right) \times \pi \times 216[/tex]
[tex]=\left( \frac{4}{3} \right) \times 216\times \pi[/tex]
[tex]=288\times \pi[/tex]
Answer:
IT IS B
Step-by-step explanation:
SOURCE: TRUST ME BRO
Please Help !!! its a math problem What is the range of the quadratic equation whose graph contains the following points?
Vertex at (0, 4)
Other points on graph are (-2, 0), (-1, 3), (1, 3) and (2, 0).
The range tells us the possible y-values that occur in the function.
When describing the range, we can write an inequality using y.
Examples: y > 6, y ≤ 10When describing the range of a quadratic function, we typically use the ≥ or ≤ symbols when writing the inequality.
To write the range of a quadratic function,
Find the vertexDetermine whether the parabola opens up or downSet y ≥ or ≤ the y-coordinate of the vertex Solving the QuestionWe're given:
Vertex at (0,4)Other points on the graph: (-2,0), (-1,3), (1,3), (2,0)Because we're directly given the vertex, we just have to determine now whether the parabola opens up or down.
If the other points on the graph always have a lower y-coordinate value, then the graph opens downIf the other points on the graph always have a greater y-coordinate value, then the graph opens upThe other points that fall on the graph that we're given all have a lower y-coordinate value than 4, that means this parabola opens down.
Therefore, all other y-values for the function will be less than 4.
Therefore, y ≤ 4.
Answery ≤ 4
Enrique is saving money to buy a graphing calculator. So far he has saved $30.
His math teacher told him he has saved 40% of what he will need. How much
does the calculator cost?
Answer: its free
Step-by-step explanation:
round 8.48 to the nearest tenth
Answer:
8.50
Step-by-step explanation:
it’s 8.50 this is because if you need to round it to the nearest tenth, you just think is 9 closer to 10? Yes and so you make 48 into 8.50
Need done by tonight please! Will mark brainliest just need it done.
Answer:
1. Binary number system only uses 2 digits: 0 and 1.
2. Octal number system uses 8 digits: 0,1,2,3,4,5,6,7 with the base of 8.
3. Decimal number system uses 10 digits: 0,1,2,3,4,5,6,7,8,9 with a base of 10.
4. Hexadecimal number system uses 16 digits and alphabets: 0,1,2,3,4,5,6,7,8,9 and A,B,C,D,E,F with the base of 16.
5. Quinary number system uses 0,1,2,3,4 with 5 as the base.
Absolute value is a number's distance from 0 on the number line.
A prime factor is a number with no factors other than one and itself.
The smallest quantity divisible by every number of the set is known as the least common multiple.
The denominator of a fraction can never be zero since a number divided by zero is not defined.
If the numerator is greater than or equal to the denominator, the fraction is called an improper fraction.
A mixed fraction is the sum of a whole number and a fraction.
To simplify a fraction is to convert it into a form which the numerator and denominator have no common factor other than one.
Step-by-step explanation:
Hope this helps :)
Express sin(-184) as a function of a positive acute angle.
The sin(-184) can be expressed as cos 86° as a function of a positive acute angle.
How do you express a trigonometry function as a positive acute angle?
To express a trigonometry identity as a function of a positive acute angle, we need to find the quadrant in which that given identity is located.
Here, we have a negative trigonometry identity: Sin (-184)
Recall that:
the sine is negative in the third quadrant(III)So, to turn that to a positive sign, we add 360
=sin(-184 + 360)
= sin(176)
To find the positive acute angle, we have:
x = cos(176 - 90)
x = cos 86°
Therefore, we can conclude that the sin(-184) can be expressed as cos 86° as a function of a positive acute angle.
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The two-way table shows the number of games played by a team divided into categories based on whether the team warmed up or not as well as whether they made more shots than they missed during the game.
One of these games is selected at random. For each question, Event A is “game played when warmed up” and Event B is “more shots made than missed.” Use the data to estimate the probabilities.
The probabilities are: 20/52, 31/52, 651/2704, 14/31
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.
given: Event A is “game played when warmed up” and Event B is “more shots made than missed.”
Now, P(A)= 20/52
P(B)= 31/52
P(A and B)= P(A)*P(B)
= 20/52*31/52
= 651/2704
P(A|B)= 14/52÷31/52
=14/31
Hence, the probability is: 20/52,31/52,651/2704 and 14/13
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help me please i don't understand
The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
How to determine the depth of the water in a waterslide
In this question we should apply the concepts of right triangles and trigonometric functions to determine the height of the water within the waterslide. A geometric diagram of the cross section of the waterslide is presented below, which indicates the existence of circular symmetry.
Now we proceed to determine the height of the water:
cos α = (0.5 m/0.75 m)
α ≈ 48.190°
y = (0.75 m) · sin 48.190°
y = 0.559 m
x = 0.75 m - 0.559 m
x = 0.191 m
The depth of the water at the deepest point in the waterslide and to the nearest hundredth of a meter is approximately 0.19 meters. (Correct choice: A)
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Solve the equation by factoring. 2x^2 + 6x = -4
Answer:
x=-2 x=-1
Step-by-step explanation:
2x^2 + 6x = -4
Add 4 to each side
2x^2 + 6x +4= -4+4
2x^2 + 6x +4=0
Factor out 2
2( x^2 +3x+2) = 0
Divide by 2
x^2 +3x +2 =0
( x+2)(x+1) =0
Using the zero product property
x+2 =0 x+1 =0
x=-2 x=-1
Answer:
x = -1, -2
Step-by-step explanation:
Bring the constant term to the left hand side :
2x² + 6x = -42x² + 6x + 4 = 0Divide throughout by 2 :
(2x² + 6x + 4)/2 = 0/2x² + 3x + 2 = 0Splitting the middle term :
x² + x + 2x + 2 = 0x(x + 1) + 2(x + 1) = 0Factors obtained :
(x + 1)(x + 2)Finding the zeros :
x + 1 = 0 ⇒ x = -1x + 2 = 0 ⇒ x = -2The top few hits from a search engine claim that approximately 10% of the population in the United States is left-handed. From a random sample of 20 students at your high school, you find 6 left-handed students, which gives you reason to believe that the true parameter is greater than 10%.
Use the drop-down menus to complete the statements.
Using a random number table, let digits
represent left-handed individuals and let digits
represent right-handed individuals.
Moving left to right across a row, select
numbers at a time and record the proportion of left-handed individuals.
Answer:
ok but question should be more clear though this is hard to understand
Answer:
0, 1-9, 20
Step-by-step explanation:
Pre-calc 2021
What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter?
Answer:
17965.1
Step-by-step explanation:
Formula: V = 4/3 pi r^3
r = d/2
r = 32.5/2
r = 16.25
V = 4/3 * 3.14 * (16.25)^3
V = 17965.05 to the nearest tenth is
V = 17965.1
Write the quotient in repeated multiplication form. Then write the quotient as a power.
The quotient as repeated multiplication is
The quotient as a power is
The expression written as a product is:
[tex](-4.5)^6*(-4.5)^{-2}[/tex]
And written as a power:
[tex](-4.5)^4[/tex]
How to rewrite the expression?Here we need to remember the two rules:
[tex]a^n = \frac{1}{a^{-n}}[/tex]
[tex]a^n*a^m = a^{n + m}[/tex]
Using the first one, we can write the quotient as a product:
[tex]\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2}[/tex]
Now we can use the second property to write the expression as a single power, we will get:
[tex]\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2} = (-4.5)^{6 - 2} = (-4.5)^4[/tex]
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GIVING BRAINLIEST!!!!!
Answer:
D' : (2, 1)
E' : (2, 3)
A' : (5, 3)
Step-by-step explanation:
Answer:
D' = (2, -3)
E' = (2, -1)
A' = (5, -3)
Step-by-step explanation:
Coordinates are :
D = (-4, -4)E = (-4, -2)A = (-1, -4)The transformation rule is :
(x , y) ⇒ (x + 6, y + 1)Point D'
D' = (-4 + 6, -4 + 1)D' = (2, -3)Point E'
E' = (-4 + 6, -2 + 1)E' = (2, -1)Point A'
A' = (-1 + 6, -4 + 1)A' = (5, -3)List one algebraic equation with a distributive property
Answer:
3(4x+6)=24
Step-by-step explanation:
The distribute property is when you distribute the what is inside of the parentheses.
Answer:
an example would be -5(x+9)=-5
now distribute -5 to x and -5 to9
= -5x-45= -5
In a cage there are 10 rabbits between males and females. 4 of them escape. What is the probability that 3 are female and only one is a male? There are originally 6 females and 4 males.
Please give answer in fraction and not percentage!
Answer:
[tex]\frac{8}{21}[/tex]
Step-by-step explanation:
let S be the sample space for this experiment.
card(S) = 10C4 = 210
Let E be the event “having 3 female and only one male”
card(E) = 6C3 × 4C1 = 80
therefore
p(having 3 female and only one male escaped) is 80/210
[tex]\frac{80}{210} =\frac{8}{21}[/tex]
Please help asap
Multiply:
3(4a)
Will give 25 points!
Answer:
12a
Step-by-step explanation:
If I'm understanding your question correctly, 3(4a), or 3 × (4a), is simply 12a.
Answer: 12a
Step-by-step explanation:
Multiply:
3(4a)
⇒3 × 4a
⇒12a Answer
hope that helps...
Consider the diagram below:
What is the relationship between the two highlighted angles?
They are corresponding angles.
They are consecutive interior angles
They are vertical angles.
They are alternate interior angles.
Answer:
The are consecutive interior angles.
1, 2, 2, 3, 4, 6, 8, 9, 10
What is the median?
Answer:
4
Step-by-step explanation:
Mean (Average) 5
Median 4
Range 9
Mode 2, appeared 2 times
Geometric Mean 3.8971508839086
Largest 10
Smallest 1
Sum 45
Count 9
Sorted Data Set: 1, 2, 2, 3, 4, 6, 8, 9, 10
a 5 litre tin of paint covers 65cm wht area would 8 litres coverr
Answer:So I think the answer might be 88
Answer: 85 sqm
Step-by-step explanation: So 5 litres of Retail paint will cover 65sqm- one coat, and 5 litres of Trade paint will cover 85 sqm- one coat.
How many meters is this?
Answer:
6.28 meters
Step-by-step explanation:
Circumference is the distance around the circle, given by:
C = pi•d
C = 3.14 • 2
C = 6.28 meters
Answer:
6.28 Meters
Step-by-step explanation:
2pi * r
= 2*3.14
= 6.28 Meters
Solve the equation, -(X/ d )=5 , for x . Which of the following properties of equality did you apply
Answer:
Multiplication
The solution of given equation x = -20
Step-by-step explanation:
step (i) :-
given equation = -(x/4) = 5
multiply '1' on both sides we get
[tex] = - (( - \frac{x}{4} )) = - 5[/tex]
[tex] = \frac{x}{4} = - 5[/tex]
step (ii) :-
multiply '4' on both sides we get
[tex] = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4[/tex]
Cancellation '4' on left side we get
x = -20
conclusion:-
The solution of given equation x = -20
HELP PLEASE FAST TY!!!!!!!!!!
Answer:
what is tge problem its to blurry
-10
Which system of inequalities is shown in the graph?
A)
x - 2y > 8 or x - 2y ≤ -6
x - 2y < 8 or x - 2y 2-6
x - 2y > -8 or x - 2y ≤ 6
x - 2y <-8 or x - 2y ≥ 6
B)
G
D)
-5
10-
0
-10+
5
10
Answer:
x - 2y > 8 or x - 2y ≤ -6
Step-by-step explanation:
I used desmos
I hope this helps!!!
19. Solve the following inequality.
Answer:
c
Step-by-step explanation:
(5y - 1) = 4y + (9y - 4) = 5y
2y > .75
Answer:
C. The solution set is {y|y > 0.75}.
Step-by-step explanation:
Given :
5y - 1 < 9y - 4Add 4 to each side.
5y - 1 + 4 < 9y - 4 + 45y + 3 < 9ySubtract 5y from each side.
5y + 3 - 5y < 9y - 5y4y > 3y > 3/4y > 0.75Solution set
C. The solution set is {y|y > 0.75}.