Answer:
mean = 14 and standard deviation = 3.03
Step-by-step explanation:
mean = sum of all numbers ÷ by the numbers available
= (11 + 12 + 12 + 16 + 19) ÷ 5
= 70 ÷ 5
= 14
FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*
follow these steps:
1. press mode then STAT
2. then press 1-VAR
3. put all the numbers on the table in ascending order
4 after press AC
5. press shift then 1
6. you will see many things but we are only interested in standard deviation, press *Var*
7. then select the standard deviation sign and press the equal sign
a plane intersects a sphere 5 cm away from the center of the sphere. the cross section is a circle whose diameter is 12cm. determine the radius of the sphere
Answer:
7.81 cm
Step-by-step explanation:
diameter = 12, 12/2 = 6
(r+5)(r-5) = 6 * 6
r^2 - 25 = 36
r^2 = 61
r = 7.81
radius = 7.81 cm
Answer:
26
Step-by-step explanation:
Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?
Answer:
[tex]\boxed{\bf \angle \: C = 62^{o} }[/tex]
Step-by-step explanation:
The sum of the opposite angle of cyclic quadrilateral is 180°.
First, lets find x...
[tex]\bf \angle \: B + \angle \: D = {180}^{o} [/tex][tex]\bf (x + 20) + 3x = {180}^{o} [/tex][tex]\bf 4x + 20 = 180[/tex][tex]\bf 4x = 180 - 20[/tex][tex]\boxed{\bf x = {40}^{o}} [/tex]Now, let's find the measure of angle C....
[tex]\bf \angle \: a + \angle \: C = {180}^{o} [/tex][tex]\bf 2x + 38 + \angle \: C = {180}^{o} [/tex][tex]\bf 2(40) + 38 + \angle \: C = {180}^{o} [/tex][tex]\bf \angle \: C = 180 - 80 - 38[/tex][tex]\boxed{\bf \angle \: C = {62}^{o}}[/tex]________________________
The present value of $100 to be received 10 years from today, assuming an opportunity cost of 9 percent, is
An opportunity cost of 9 percent, is $42.
We have given that,
The present value of $100 is to be received 10 years from today,
assuming an opportunity cost of 9 percent,
present value =$100
N=10 years
I/y=9
What is the formula for the present value?PV= FV/(1+r)^n
Where FV is the future value.
Use the given values in the formula we get,
Therefore the correct answer is 42.
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Consider the table that includes the input and output values of a function.
Which best describes the constant difference for the function?
a constant second difference of –6
a constant second difference of 8
a constant third difference of –6
a constant third difference of 8
The first option is correct and it best describes the constant difference for the function as a constant second difference of –6.
What is a function?A function f(x) is the relation between a set of inputs resulting and producing the desired output value of y for each input.
From the given information:
x f(x) first difference second difference third difference
-2 0 - - -
-1 -10 (-10-0)/-1--2 = -10 - -
0 -12 (-12 - 10)/0 -- 1= -2 (-2-10)/2 = -6 -
1 -12 (-12--12)/1-0 = 0 (0-2)/2 = -1 (-1+6)/2 = 5/2
2 -16 (-16--12)/2-1 = -2 (-2-0)/2 = -1 (-1+1)/2 = 0
Therefore, we can conclude that the constant difference for the function is a constant second difference of –6.
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Answer:
A
Step-by-step explanation:
In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants. Calculate the average rate of change (slope) for the number of Burger King restaurants over this time period.
The average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
What is the slope?
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
The slope:
[tex]\rm m =\dfrac{16717-12078}{2017-2009}[/tex]
m = 4639/8
m = 579.875
Thus, the average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
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Complete this shape so that it is symmetrical about the reflection line
A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. The shape can be completed as shown below.
What is symmetry?A balanced and proportionate likeness observed in two sides of an item is characterized as symmetry. It signifies that one side is a mirror image of the other. The line of symmetry is the imaginary line or axis along which you can fold a figure to produce the symmetrical halves.
The shape can be completed as shown below, so that the complete shape is symmetrical about the given axis.
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What is the range of the function y=3√x+8?
O-∞
O-8
O 0≤y<∞
O 2≤y<∞
Answer: 0 ≤ y < ∞
Step-by-step explanation:
First, let us graph the function. See attached.
-> If I graphed the formatting of the square root sign incorrectly, please let me know so I can fix the answer.
The range of the function is all of the function's output values. In this case, all of the y values.
0 ≤ y < ∞
The area of a rectangle is 44m2 , and the length of the rectangle is 3m
less than double the width. Find the dimensions of the rectangle.
Answer:
width=11/2
length=8
Step-by-step explanation:
44=(2w-3) x w area for a rectangle (44) = the length (2w-3) times the width (w)
44=2w^2 - 3w distribute
2w^2-3w-44 = 0 subtract 44 from both sides
(w+4)(2w-11) factor
width=11/2
(11/2 x 2) - 3
length = 8
There are two colored marbles and one white marble in a box. Julie mixes the marbles and then Sam draws two marbles at random without replacement. If the two marbles match, Sam wins; otherwise, Julie wins. Does each player have an equal chance of winning? Will adding another white marble give each player an equal chance of winning? What if a game with the same rules was played using three colored marbles and one white marble?
12 times a number is decreased by 10% of the number. Write an expression.
Answer:
something like below
Step-by-step explanation:
(12n) - (n * 10/100 )
What is the equation of the line perpendicular to 2x - 3y = 13 that passes through the point (-6, 5)?
y=x+9
y=-3x-4
y=-x-13
y-x-1
Rewriting the equation of the given line in slope-intercept form,
[tex]2x-3y=13\\\\2x-13=3y\\\\y=\frac{2}{3}x-\frac{13}{3}[/tex]
Thus, the slope of the given line is 2/3. Since perpendicular lines have slopes that are negative reciprocals of each other, we want to find the line with a slope of -3/2.
Substituting into point-slope form,
[tex]y-5=-\frac{3}{2}(x+6)\\\\y-5=-\frac{3}{2}x-9\\\\\boxed{y=-\frac{3}{2}x-4}[/tex]
Help me PLEASEEE!!! ASAP
Solve for x. Please help me!!
Answer:
64 degrees
Step-by-step explanation:
90-32=58
180-58-58=64
Answer:
x = 64°
Step-by-step explanation:
supplementary angles is two angles whose sum is 180° (straight line)
90 + 32 = 122°
To find angle A,
A + 122 = 180
subtract 122 from both sides,
A + 122 - 122 = 180 - 122
A = 58°
This is an isosceles triangle, two angles are equal in measure (A and B). These angles lie opposite to the equal sides.
A triangles angles add up to 180°
58° + 58° + x° = 180°
116° + x = 180°
116 - 116 + x = 180 - 116
x = 64°
Point A is at (3, 2.6) and Point B is at (3, 1.4) on a coordinate grid. The distance between the two points is
Answer:
oma cursos online gratis de chino para aprender a hablar y escribir en este idioma. Aprende chino con cursos de las mejores universidades en edX.
Step-by-step explanation:
supposed an individual has a body fat percentage of 17.5% and weighs 164 lbs. how many pounds of his weight is made up of fat? round your answer to the nearest tenth.
The amount of pounds of his weight is made up of fat is 28.7lbs
Percentages and valuesGiven the following parameters
Total weight of body = 164lbs
Percentage fat = 17.5%
Determine the amount made up of fat
Fat amount = 17.5% of 164
Fat amount = 0.175 * 164
Fat amount = 28.7lbs
Hence the amount of pounds of his weight is made up of fat is 28.7lbs
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I need help with number 10 please
Answer:
Liz
Step-by-step explanation:
if the chart is correct only 3 people spent more than 2 1/2 hours on homework when 9 people spent less than 2 1/2 hours on homework
I should have payed more attention but can someone please guide me through this and build me up an answer.
Answer:
arc QM = 38°
Step-by-step explanation:
the inscribed angle NQM is half the measure of its intercepted arc NM , so
arc NM = 2 × 90° = 180°
the sum of the arcs in a circle = 360° , then
QN + NM + MQ = 360° , that is
142° + 180° + QM = 360°
322° + QM = 360° ( subtract 322° from both sides )
QM = 38°
The graph below shows the solution to which system of inequalities?
Inequalities help us to compare two unequal expressions. The inequalities that represent this graph are y<8/10x and y>-x. The correct option is C.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
To find the inequality, we need to find the equation of the dashed line and then substitute the inequality as per the requirement. The dashed line is used instead of a solid line to show greater than or less than.
The inequality for the first graph can be written as,
[tex]y < \dfrac{8}{10}x[/tex]
The inequality for the second graph will be,
y>-x
Hence, the inequalities that represent this graph are y<8/10x and y>-x. Thus, the correct option is C.
The complete question is:
The graph below shows the solution to which system of inequalities?
A.) y>x , y ≥ (8/10)x
B.) y>-x, y ≤ (8/10)x
C.) y>-x, y < (8/10)x
D.) y>x, y > (8/10)x
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Find the area (in square units) of the region under the graph of the function f on the interval [-1,5].
F(X) = 2x+8
Square units: ?
Answer:
So generally, when you're trying to find the area under the curve, you want to integrate the function within the bounds in question, which in this case is 3 and 5. As a result, you get 4e^x - x^2/2. Then you want to subtract this when you put 3 in for x from when you put 5 in for x, such as the following:
(4e^5-25/2) - (4e^3 - 9/2)
When you combine like terms, you end up with the following answer:
4e^5 - 4e^3 - 8 square units
However, you can approximate the answer to 505.31 square units
There are 10 USB drives in a box and 3 are defective. Two drives are to be selected, one after the other. What is the probability of selecting a defective USB followed by another defective USB?
[tex]|\Omega|=10\cdot9=90\\|A|=3\cdot2=6\\\\P(A)=\dfrac{6}{90}=\dfrac{1}{15}\approx6.7\%[/tex]
Find the reciprocal of the sum of the reciprocals of 1/-5 and -1/6
Answer:
-1/11
Step-by-step explanation:
A reciprocal means the reverse of a number. So the numerator becomes a one and the number goes in the denominator (for example 2 becomes 1/2). Or vice versa: the one becomes the denominator and the denominator becomes the numerator (for example 1/2 becomes 2/1 which is 2).
The reciprocal of -1/5 is -5.
The reciprocal of -1/6 is -6.
The sum of both reciprocals: -5 + -6 = -11
The reciprocal of the sum -11 is -1/11.
Ms. Jerome wants to buy identical boxes of art supplies for her 25
students. If she can spend no more than $375 on art supplies,
what inequality describes the price can she afford for each
individual box of supplies, b?
The inequality describes the price $375 she can afford for 25
individual box of supplies will be $375 ≥ 25x.
What is inequality?An inequality is comparison of two values, showing if one is less than, greater than, or simply not equal to another value.
Let the price of each box is $x.
The inequality describes the price can she afford for each
individual box of supplies will be $375 ≥ 25x.
Therefore inequality is $375 ≥ 25x.
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Find the distance between the points (2, −3) and (−4, −7).
-------------------------------------------------------------------------------------------------------------
Answer: [tex]7.21[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{(2, -3) and (-4, -7)}[/tex]
Find: [tex]\textsf{Find the distance between the two points}[/tex]
Solution: Use the distance formula and the two points that were provided to determine the distance.
Plug in the values
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d = \sqrt{(-4-2)^2+(-7-(-3))^2}[/tex]Simplify and expand
[tex]d = \sqrt{(-6)^2+(-7+3))^2}[/tex][tex]d = \sqrt{(-6)^2+(-4))^2}[/tex][tex]d = \sqrt{36+14}[/tex][tex]d = \sqrt{52}[/tex]If we are using square root we use the square root of 52 but if we simplify it to a decimal point we would use 7.21
Find the value of this expression if x = -7.
x² +5
x+1
Enter the correct answer.
fill in the blanks with the correct form of the verb to have and the palt of the body that is numhered. (2 pls.each)
Answer:
Below
Step-by-step explanation:
1. has
2. has
3. have
4. has
5. have
6. has
7. has
8. have
9. have
10. has
11. has
12. has
13. have
14. have
A soccer league has 160 players. Of those players 50% are boys. How many boys are in the soccer league?
Answer:
80 boys
Step-by-step explanation:
160 total players
50% are boys
50% of 160 is 80
A triangle has two sides of lenghts 8 and 10. what value could the length of the third sird side be?
Answer:
Step-by-step explanation:
sum of any two sides > third side
difference of any two sides < third side.
8+10=18
10-8=2
2<third side <18
Which of the following are characteristics of the graph of the square root
parent function? Check all that apply.
Answer:
C. It is in Quadrant I
D. It starts at the origin
Step-by-step explanation:
Parent function: [tex]f(x)=\sqrt{x}[/tex]
Domain: set of all possible input values (x-values)
As the square root of a negative number does not exist in the set of Real Numbers, the domain for the parent function is:
Solution: x ≥ 0Interval notation: [0, ∞)Range: set of all possible output values (y-values)
As the domain of the parent function is x ≥ 0, the range will be:
Solution: f(x) ≥ 0Interval notation: [0, ∞)As the range and domain both begin at zero, the graph of the parent function starts at the origin (0, 0).
Quadrant: a region of the Cartesian plane formed when the x-axis and y-axis intersect each other.
Quadrant I: (x, y)
Quadrant II: (-x, y)
Quadrant III: (-x, -y)
Quadrant IV: (x, -y)
Therefore, as the range and domain of the parent function are positive, the graph is in Quadrant I.
3x2+14x=−11 solve for x
x= -.55
6x+14x=11
20x=-11
x=-11/20
Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven-dollar games could he buy with the money he had left?
Answer:
three
Step-by-step explanation:
60 - 39 = 21
21/7 = 3
