Answer:
Step-by-step explanation: 1. 5040 because 10x9x8x7
3. 10000 because 10^4=1000
1)There are 5040 possible codes are there if the digits cannot be repeated.
2)The probability that you will guess the correct code on your first try will be (1/5040).
3) Possible code = 10000 .
Given,
Numbers : 0 to 9
Here,
Total number of digit = 0,1,2,3,4,5,6,7,8,9
Given condition;
a)
Four digit card must be drawn;
The total possible ways there if the digits cannot be repeated will be;
⇒10×9×8×7
⇒5040
b)
The probability that you will guess the correct code on your first try is;
P(A) = n(A)/n(S)
Where,
n(A) is the event has the right code
n(S) is the total possible ways;
P(A) =1/5040
Hence the total possible ways there if the digits cannot be repeated and the probability that you will guess the correct code on your first try will be 5040 and (1/5040) respectively.
c)
If the gits can be repeated then we have 10 digits for each place :
Possible code = 10 * 10 * 10 *10
Possible code = 10000
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What is the slope of this line? the equation for a line that passes through the points (5,-3) and (-10,15)?
Part 1: Finding slope
The slope is [tex]\frac{-3-15}{5-(-10)}=\frac{-18}{15}=\boxed{-\frac{6}{5}}[/tex]
Part 2: Finding the equation
Using the point (-10, 15) to substitute into point-slope form,
[tex]y-15=-\frac{6}{5}(x+10)\\\\y-15=-\frac{6}{5}x-12\\\\\boxed{y=-\frac{6}{5}x+3}[/tex]
Answer:
Using the given points we find that the slope is -1.2 and using the slope-point form we find that the equation of line is y+1.2x = 3.
Step-by-step explanation:
In the question, two points are given, (5,-3) and (-10,15). Using them we can find the slope using the formula, (y2 - y1) / (x2 - x1). So, the slope is
(-3-15) / (5+10) = -18 / 15 = -1.2
Now, we have to find the equation of line. We have two points and a slope. Using any one point and the slope, we can find the equation of line using slope-point form of line. Let us take (5,-3).
(y+3) / (x-5) = -1.2
y+3 = -1.2(x-5)
y+3 = -1.2x + 6
y+1.2x = 3
So, the slope of line is -1.2 and the equation of line is y+1.2x = 3.
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Suppose the equilibrium wage for unskilled workers in New Jersey is $16 per hour. How will the wages and employment of unskilled
workers in New Jersey change if the state legislature raises the minimum wage from $8.85 per hour to $15 per hour?
Wages of unskilled workers will increase/decrease/or not change?
Employment of unskilled workers will increase/decrease/or not change?
Answer:
it will increase the production
Step-by-step explanation:
Out of 2,000 high school seniors, 191 were enrolled into Honor Society.What percentage of the entire group of 2,000 seniors were in Honor Society?PLEASE EXPLAIN
A.0.955%
B.1.91%
C.9.55%
D.19.1%
Divide number in honor society by total students:
191/2000 = 0.0955
Multiply by 100 to get percent:
0.0955 x 100 = 9.55%
Answer is C. 9.55%
Javier is going to a water park with his little brother, Caden. Since Caden is only 4 feet tall, they check to see if he is tall enough to ride the Super Slide. Sadly, the park's website says that he needs to be at least 52 inches tall. How many more inches does Caden need to grow before he is tall enough to ride the Super Slide?
Caden needs to grow 4 inches tall enough to ride the Super Slide.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.
Given that:-
Javier is going to a water park with his little brother, Caden. Since Caden is only 4 feet tall, they check to see if he is tall enough to ride the Super Slide. Sadly, the park's website says that he needs to be at least 52 inches tall.Caden's height = 4 feet
Min height to ride the Super slide is = 52 inches
Caden's height in inches will be:-
1 feet = 12 inches
4 feet = 12 x 4 = 48 inches.
The difference between the height will be given as:-
D = 50 - 48 = 4 inches
So Caden should grow his height by 4 inches to ride the super slide.
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Suppose that the number of a certain type of computer that can be sold when its price is P (in dollars) is given by a linear function N(P).
(a) Determine N(P) if N(1000) = 10000 and N(1700) = 6500. (Use symbolic notation and fractions where needed.)
N(P) =?
(b) Select the statement that gives the slope of the graph of N(P), including units and describes what the slope represents.
●5 computers per dollar
● -1/5computers per dollar
● -5 computers per dollar
● -5 dollars per computer
(c) What is the change N in the number of computers sold if the price is increased by AP = 110 dollars? (Give your answer as a whole number.)
AN = ?
Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line?a rise of 6 and a run of 8a rise of 8 and a run of 6a rise of 6 and a run of 5a rise of 5 and a run of 6
Step-by-step explanation:
8. Mrs. Reyes has 4 mangoes, 5 guavas, and 2 bananas in her basket. What is the probability that one can pick a guava?
A. 2 out of 11 or 2/11
B. 5 out of 11 or 5/11
C. 4 out of 11 or 4/11
9. What is the probability of choosing a blue paper if there are 3 red papers and 4 blue papers in the box?
A. 4 out of 7 or 4/7
B. 3 out of 7 or 3/7
C. 0 out of 7 or zero probability
10. In the numbers 2,2,2,5,5,2,3 What is the probability of getting 2?
A. 2/7
B. 3/7
C. 4/7
8) 5 + 4 + 2 = 11
Since there are 5 guavas, the correct answer is B. 5/11
9) 3 + 4 = 7
Since there are 4 blue papers, the correct answer is A. 4/7
10) Count all of the numbers and add them. There are 4 twos, 2 fives, and 1 three:
4 + 2 + 1 = 7
Since there are 4 twos, the correct answer is C. 4/7
Point T is at (–16.8, 31.7) and point M is at (1.2, 12.5). Point M is the midpoint of the line segment whose endpoints are S and T. What are the coordinates of endpoint S? (–34.8, 50.9) (–7.8, 22.1) (19.2, –6.7) (20.4, –5.5)
Answer:
option c (19.2, -6.7) is correct
Step-by-step explanation:
Mid point - it is the middle point of a line segment. It is equidistant from both endpoints and it is the centroid both of the segment and of the endpoints.
if ([tex]x,y[/tex]) and ([tex]x_{1},y_1[/tex]) are the end points of a line segment then mid point is
given by :- [tex](x+x1)/2 , (y+y1)/2[/tex]
according to question :
given : end point T(-16.8, 31.7) and mid point M(1.2, 12.5)
let coordinates of another end point S (a, b)
therefore, using mid point formula
1.2 = (-16.8 + a)/2
2.4= (-16.8 + a)
19.2 = a
and,
12.5 = (31.7 + b)/2
25 = 31.7 + b
-6.7 = b
so the option c (19.2, -6.7) is the correct answer
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factor completely
0.09y² - 0.81
Answer:
[tex]0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)[/tex]
Step-by-step explanation:
The difference of squares formula gives us
[tex]a^2 - b^2 = (a+b)(a-b)[/tex]
(you can multiply this out to confirm)
[tex]0.09y^2 = (0.3y)^2[/tex]
and
[tex]0.81 = 0.9^2[/tex]
Thus, by the difference of squares formula
[tex]0.09y^2 - 0.81 = (0.3y+0.9)(0.3y-0.9)[/tex]
Which of the following could represent the
interval (5, 100]? Select two that apply.
Answer:
5 < x ≤ 100
(this is inequality form)
{x| 5 < x ≤ 100}
(this is set notation form)
(options B and C)
Step-by-step explanation:
In interval notation,
( or ) : does not include value
[ or ] : does include value
{and remember:
< or > : does not include value
≤ or ≥ : does include value}
when we write something in interval notation, the range of values is from (lowest value, highest value)
for this equation, we know that we are looking for : (5, 100]
which means that the range of numbers goes from
5 (does not include 5) to 100 [does include 100]
so, x > 5 (not equal to); x ≤ 100
we can combine these two concepts: 5 < x ≤ 100
(inequality form)
{when {x | ...} is present, it means the same thing as without it, so
{x| 5 < x ≤ 100} is also correct
(set notation)
hope this helps!!
Answer:
B and C
Step-by-step explanation:
from interval notation we are including 100 but not 5,
x > 5 and x ≤ 100
so B and C are correct
This year Rafael has 60 regular customers which is 150 percent of the 40 regular customers he had last year.
The base is 60, the part is 40 and the rate is 150%.
How to depict the information?The base is the whole quantity or amount that the problem is about.
The part is referred to as the percentage is the portion of the base. The rate is the number with the percentage.
In this case, the base is 60, the part is 40 and the rate is 150%.
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PLS HELP ME WITH THIS PROBLEM
[tex]y=200(0.5)^2^t[/tex] is Decay
[tex]y=\frac{1}{2}(2.5)^\frac{t}{6}[/tex] is Growth
[tex]y=(0.65)^\frac{t}{4}[/tex] is Decay
The mean diastolic blood pressure for a random sample of 80 people was 100 millimeters of mercury. If the standard deviation of individual blood pressure readings is known to be 11 millimeters of mercury, find a 95% confidence interval for the true mean diastolic blood pressure of all people. Then give its lower limit and upper limit.
The confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41 where the lower limit is 97.59 and the upper limit is 102.41
How to determine the confidence interval?We have:
Mean = 100
Sample size = 80
Standard deviation = 11
At 95% confidence interval, the critical z value is:
z = 1.96
The confidence interval is then calculated as:
[tex]CI = \bar x \pm z \frac{\sigma}{\sqrt n}[/tex]
So, we have:
[tex]CI = 100 \pm 1.96 \frac{11}{\sqrt {80}}[/tex]
Evaluate the product
[tex]CI = 100 \pm \frac{21.56}{\sqrt {80}}[/tex]
Divide
[tex]CI = 100 \pm 2.41[/tex]
Split
CI = (100 - 2.41,100 + 2.41)
Evaluate
CI = (97.59,102.41)
Hence, the confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41
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Point P has coordinates P(-4, 3).
What are the coordinates of the image P" after I translate point P: 1
unit to the right 7 units down and then I reflect its image across the
y-axis?
The x-coordinate of P" is:
The y-coordinate of P" is:
A graph displays point A (5, 3, 4) and point B (−4, 2, 6). Calculate the approximate distance each point is from the origin. Round to the nearest tenth. Which point is farther from the origin, and by how much?
Distance from the origin to the points ≈ 0.41.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
Point A (5, 3, 4) and point B (−4, 2, 6) are located away from the origin (0,0,0), and the points from the origin to this points are expressed as OB - OA where;
Let OB is the distance from the origin to the point B
Let OA is the distance from the origin to the point A
Using the formula for calculating the distance between two points;
OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²
OA = √(4-0)²+(3-0)²+(5-0)²
OA = √(16)+(9)+(25)
OA = √50
OA = 7.071
Similarly;
OB = √(6-0)²+(2-0)²+(-4-0)²
OB = √(6)²+(2)²+(-4)²
OB = √36+4+16
OB = √56
OB = 7.4833
Distance from the origin to the points = 7.4833 - 7.071= 0.4123
Distance from the origin to the points ≈ 0.41
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Question 1 Fill in the missing (yellow) interior angle with (4x)° to solve for x. Diagram may not be to scale.
Please help!
Answer:
x=100/7
Step-by-step explanation:
The interior angles will sum to 360 so 72+89+99+7x=360
260+7x=360
7x=100
x=100/7
Question
Find the distance between the points (-5, 8) and (-3,0).
To calculate the distance between two points we use this formula:
[tex] \boxed{ \boxed{{d \: = \: \sqrt{(x_2 \: - \: x_1)^{2} \: + \: (y_2 \: - \: y_1)^{2} } }}}[/tex]
______________________We organize the values:x₁ = -5 x₂ = -3 y₁ = 8 y₂ = 0______________________
We apply the values already obtained to the formula to get the distance:
[tex]d \: = \: \sqrt{( - 3 \: - \:( - 5))^{2} \: + \: (0 \: - \: 8)^{2} }[/tex]
[tex]d \: = \: \sqrt{( - 3 \: - \: ( - 5))^{2} \: + \: ( - 8)^{2} }[/tex]
[tex]d \: = \: \sqrt{( - 3 \: + \: 5) ^{2} \: + \: 64 } [/tex]
[tex]d \: = \: \sqrt{ {2}^{2} \: + \: 64 } [/tex]
[tex]d \: = \: \sqrt{4 \: + \: 64} [/tex]
[tex]d \: = \: \sqrt{68} [/tex]
[tex]d \: = \boxed{ \bold{ \: 2 \sqrt{17} \: units}}[/tex]
Answer:[tex] \huge{\boxed{ \bold{2 \sqrt{17} \: units }}}[/tex]
MissSpanishThere are 250 students in a school and there are 120 more boys than girls. What percentage
of the students are boys?
I need help question 4
Answer:
-51
Step-by-step explanation:
If the limits are reversed, then place a negative sign in front of the integral.
[tex]\int\limits^a_bf ({x}) \, dx =-\int\limits^b_a f({x}) \, dx[/tex]
[tex]\int\limits^a_3 f({x}) \, dx = 51\\[/tex] where [tex]\alpha =10\\[/tex]
[tex]\int\limits^3_\alpha f( {x}) \, dx =-51[/tex] where[tex]\alpha =10[/tex]
I will give lots of points please help
Step-by-step explanation:
PART 1:
on the graph you can make a triangle at any point and with any angle measures.
i recommend a smaller right triangle to be easiest.
i recommend the points (0,3) A (3,0) B and (0,0) C
∆ABC angle measurements:
m∠CAB=45°
m∠ABC=45°
m∠ACB=90°
PART 2:
(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right
m∠FDE=45°
m∠DEF=45°
to find the missing value of the angle EFD we will use subtraction and addition
180-(45+45)
180-90
90
therefore, the m∠EFD=90°
PART 3:
both the angle measures and the shapes of the triangles are the same
PART 4:
i used a 1:1 ratio
sorry for the wait :)
A rake is priced at $28.49. Tax is $1.85. What is
the total cost of the rake?
V
On March 8, 2017, one U.S. dollar was worth 66.79 Indian rupees.
(a) On that date, how many dollars was 110.66 rupees worth?
Round your answer to the nearest hundredth of a dollar.
dollars
(b) On that date, how many rupees was 125.29 dollars worth?
Round your answer to the nearest hundredth of a rupee.
I need help with this problem.
Answer:
a=1.66
b=8368.12
Step-by-step explanation:
hope it helps
Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs.
f(x) = 8x² +2
h(x) = -8x²-2
a. fopens upward with a y-intercept at (2, 0); h opens downward with a y-intercept at (-2, 0)
b. f opens downward with a y-intercept at (0, -2); h opens upward with a y-intercept at (0, 2)
c. fopens downward with a y-intercept a(0, 2); h opens upward with a y-intercept at (0, -2)
d. fopens upward with a y-intercept at (0, 2); h opens downward with a y-intercept at (0, -2).
The f(x) opens upward with a y-intercept at (0, 2); h(x) opens downward with a y-intercept at (0, -2) , Option D is the right answer.
What is a Function ?A function is a law that defines relation between two variables.
The function given in the question is
f(x) = 8x² +2
h(x) = -8x²-2
The graph is plotted and the similarities or differences are studied ,
It can be seen from the graph that
f(x) opens upward with a y-intercept at (0, 2); h(x) opens downward with a y-intercept at (0, -2).
Therefore Option D is the right answer.
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!!WILL GIVE BRAINLIES PLS HELP!!!
Which inequality in vertex form represents the region less than or equal to the quadratic function with vertex (-6,
12) and includes the point (-9, 15) on the boundary?
Answer:
is B
Step-by-step explanation:
this is the best possible answer
The base of a triangle is 5 cm greater than the
height. The area is 33 cm². Find the height and
the length of the base.
Answer:
height= 13.2 cm
Step-by-step explanation:
h = 2 × A/b
h = 2 × 33 /5
= 13.2
can u welp me?
tnx in advance
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
Answer:
Figure Number 1.
Area of smaller square = [tex]\tt\underline{5cm}[/tex][tex]\tt{\times 5cm = }[/tex][tex]\tt\underline\green{25}[/tex] [tex]\tt{sq.cm}[/tex]
Area of bigger square = [tex]\tt{15cm \times}[/tex][tex]\tt\underline{ 15cm }[/tex][tex]\tt{=}[/tex] [tex]\tt\underline\green{225}[/tex] [tex]\tt{sq.cm}[/tex]
Total Area = [tex]\tt\underline\green{25sq.cm}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{225sq.cm}[/tex] [tex]\tt{=}[/tex] [tex]\normalsize \underline{\boxed{\tt \red{250}}}[/tex] [tex]\tt\underline{sq.cm}[/tex]
[tex]\\[/tex]
Figure Number 2.Area of square A = [tex]\tt\underline{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{49}[/tex] [tex]\tt{sq.m}[/tex]
Area of square B = [tex]\tt{7m}[/tex][tex]\tt{\times}[/tex][tex]\tt{7m}[/tex][tex]\tt{=}[/tex][tex]\tt\underline\green{49}[/tex] [tex]\tt{sq.m}[/tex]
Area of square B = [tex]\tt{14m}[/tex][tex]\tt{\times}[/tex][tex]\tt\underline{14m}[/tex][tex]\tt{=}[/tex][tex]\tt\green{196}[/tex] [tex]\tt{sq.m}[/tex]
Total Area = [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{49m}[/tex] [tex]\tt{+}[/tex] [tex]\tt\underline\green{196}[/tex] [tex]\tt{=}[/tex][tex] \normalsize \underline{\boxed{\tt \red{294}}}[/tex][tex]\tt{sq.m}[/tex]
====================================
To find the area of square use this formula [tex]\large\tt{A = s \times s}[/tex]. Means side of the square multiply to the same side of the square
[tex] \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
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૮₍´˶• . • ⑅ ₎ა
Determine whether it is a function
Answer:
Relation 1: FunctionRelation 2: FunctionStep-by-step explanation:
A function is defined so that for each input, there is no more than one output.
I need helpppppp asap
Answer:
graph A
Step-by-step explanation:
When looking at a graph, there are two different axes. The vertical values--marked by the center up/down line--are "y-values"; and this is called the "y-axis"
The horizontal values--marked by the left/right line--are "x-values"; and this is called the "x-axis"
For the x-axis, values to the left side of the origin (the place where the y-axis and x-axis intercept) are smaller than 0--they are all negative values.
Values to the right side of the origin are positive--greater than 0.
For the y-axis, positive numbers are on the top half [once again, the midpoint / 0 is where the two lines are both = to 0; the origin] and negative numbers are on the bottom half.
Ordered pairs (points) are written as (x,y)
(x-value, y-value)
We are looking for a graph that decreases (along the y-axis), hits a point below the origin, and goes flat/stays constant.
When a graph is decreasing (note: we read graphs from left to right), the line of the graph is slanted downwards (it looks like a line going down).
So, if we look at the graphs, we can see Graph A descending, crossing the y-axis {crossing the middle line /vertical line / y-axis} at a value of -7, and then staying constant (it is no longer increasing or decreasing because the y-values stay the same)
hope this helps!!
Help asap please I need it
Answer: 8x+70
Step-by-step explanation:
[tex]\sum^{5}_{n=2} (2x+5n)=(2x+10)+(2x+15)+(2x+20)+(2x+25)=\boxed{8x+70}[/tex]
The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explain.
The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.
Is the triangle a right triangle?
In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
12 ² + 24²
= 144 + 576 = 720
29² = 841
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if someone could please help that would be great!
Please graph it!!!
The graph is attached with the answer.
What are Piecewise Function ?When function has different behaviour at different intervals , then it is called a piecewise function.
It is given that
f(x) = - 3x -5 at x ≤ -1
f(x) = -2x +3 at -1 <x<4
f(x) = 2 at x ≥ 4
All the piecewise Function are a straight line.
The table for functions is
f(x) = 3x -5
-1 -8
-2 -11
-3 -14
f(x) = -2x +3
0 3
1 1
2 -1
3 -3
f(x) = 2
4 2
5 2
6 2
7 2
The graph is attached with the answer.
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