The approximate area of the unshaded region under the standard normal curve is 0.8641.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have to find the area under the standard normal curve equals the z probability.
So, P = 1 - P(1 < z <2)
P = 1 - [ P(z<2)- P(z<1)]
As, the standard normal probability
P (z<1)= 0.8413
P(z<2) = 0.9772
So, P(1 < z <2)
= 0.9772 - 0.8413
= 0.1359
and, P = 1 - P(1 < z <2)
= 1 - 0.1359
= 0.8641
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Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilateral Q′R′S′T′? answer: A) Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4) B) Q′ (4, 4), R′ (–4, 4), S′ (–4, –4), T′ (4, –4) C) Q′ (–1, 1), R′ (1, 1), S′ (1, –1), T′ (–1, –1) D) Q′ (–3, 3), R′ (3, 3), S′ (3, –3), T′ (–3, –3)
Answer:
Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)
Step-by-step explanation:
Given
Quadrilateral QRST
Dilated Factor = 2
Required
Find the coordinates of Q'R'S'T'
To do this, we first have to identify the coordinates of QRST
[tex]Q = (-2,2)\\R = (2,2)\\S = (2,-2)\\T = (-2,-2)[/tex]
Being dilated by scale factor of 2 means we have to multiply each coordinates by 2; This is as shown below
Q'R'S'T' = 2 * QRST
Q' = 2 * (-2,2)
Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)
Answer:a
Step-by-step explanation:
Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4)
The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5).
Answer:
The question is missing, so I will answer all the solution for each possible system of two equations.
Step-by-step explanation:
The equations
x + 5 y = 10 (red)
3 x - y = 1 (blue)
x - 5 y = 10 (green)
3 x + y = 1 (purple)
are shown in the picture atatched. The intersection between two lines is the solution of their system.
system:
x + 5 y = 10 (red)
3 x - y = 1 (blue)
solution: (0.938, 1.813)
system:
x + 5 y = 10 (red)
x - 5 y = 10 (green)
solution: (10, 0)
system:
x + 5 y = 10 (red)
3 x + y = 1 (purple)
solution: (-0.357, 2.071)
system:
3 x - y = 1 (blue)
x - 5 y = 10 (green)
solution: (-0.357, -2.071)
system:
3 x - y = 1 (blue)
3 x + y = 1 (purple)
solution: (0.333, 0)
system:
x - 5 y = 10 (green)
3 x + y = 1 (purple)
solution: (0.938, -1.813)
Answer:
A.
Step-by-step explanation:
I just took the quiz :]
solve the following system of equations: 2x+3y-z=1 3x+y+2z=12
x+2y-3z=-5
Answer:
x=-3 y=19/7 z=7
Step-by-step explanation:
Plz plz plz help me Plz tell me the correct answer
Answer:
Question 1:
The smallest 5-digit no. is 10,000
The product of its prime factors is:
=> 10,000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
Question 2:
The prime factors of 1729 are:
=> 1729 = 7 × 13 × 19
The relation between their 2 consecutive prime factor is that when they both are subtracted, they give the result 6
Such as :
=> 13-7 = 6
=> 19-13 = 6
Hope this helps!
Don't hesitate asking anything regarding this question!
Answer:
1. The smallest 5-digit number is: 10000
10000= 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
2. 1729= 7 × 13 × 19
7= 6+1
13= 6*2+1
19= 6*3+1
A rectangle has sides measuring (3x + 2) units and (5x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive
full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
Answer:
A:
(4x+5)(3x+10)=
(12x^2) + (40x) + (15x) + (50)
12x^2 + 55x + 50
B: 2nd degree trinomial.
C: it is demonstrated in part A because when we added it, the variable do not change and neither do the exponents.
Step-by-step explanation:
do not copy. used this on my test.
Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP
Answer: B and E
Step-by-step explanation:
A polynomial is an algebraic expression of degree one variable and above.
A polynomial does not have negative in it exponent and cannot be divided by a variable.
Polynomial operations are addition, subtraction and multiplication. It also involves non-negative integer exponents of variables.
From the options given to you, only B and E are polynomials
Apply the distributive property to factor out the greatest common factor. 21e+35 =? i need this awnser asap
Answer:
7
Step-by-step explanation:
21e + 35 can also be 7(3e+5) since 7 is the gcf of these terms
Why do you think it is important to consider both salary and benefits when applying for a job?
It is important to consider salary and benefits because you should consider how much money you need to buy necessities and a few things you want, but you should also look into whether the benefits can wave some of the necessity costs, such as health insurance, etc.
Find the value of x.
40°
45°
77°
2x°
x°
Answer:
the correct answer is 47
Answer:
The value of x is 66°
Hope it helps!
Step-by-step explanation:
The sum of exterior angles of a polygon is always 360°
So since the angles are given
40+45+77+2x+x = 360
(40+45+77)+(2x+x)= 360
162 + 3x = 360
3x = 360-162
= 198
x= 198/3
= 66°
Solve the equation using the distributive property and properties of equality
1/2(x+6) = 18
What is the value of x?
6
7 1 / 1
141
30
Answer:
x = 30
Step-by-step explanation:
1/2(x+6) = 18
Distribute
1/2 x + 3 = 18
Subtract 3 from each side
1/2x +3-3 = 18-3
1/2x = 15
Multiply each side by 2
1/2x*2 = 15*2
x = 30
The number -5 can be described by which number type? irrational integer whole number natural number
Answer:
It is an integer.
Step-by-step explanation:
The number -5 is negative so it is not a whole number or a natural number. It also isn't a decimal number or a fraction so it is an integer.
Answer: Integer
Step-by-step explanation: you have to use your skills
subract 5 5/21 from 13 1/7
Answer:
The answer is 166/21, or 7 19/21
Step-by-step explanation:
First, you would set up the equation, which is:
13 1/7 - 5 5/21
Next, you would turn them into an improper fraction, which is:
92/7 - 110/21
Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:
276/21 - 110/21
Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.
Answer:
7 19/21
Step-by-step explanation:
13 1/7 - 5 5/21
Get a common denominator
13 1/7*3/3 - 5 5/21
13 3/21 - 5 5/21
We need to borrow 1 from the 13 in the form of 21/21
12 +21/21 + 3/21 - 5 5/21
12 24/21 - 5 5/21
7 19/21
anyone help????? por favor
Answer:
A. x = 5, y = 6
Step-by-step explanation:
The directions tell you to do steps on the calculator, so I can't explain or show how to use it in the calc. But simply just plug it into the calc as a matrix and do rref.
Answer:
x= 5, y= 6
Step-by-step explanation:
5x - 4y = 1
4x - 2y =8
Multiply the second equation by -2
-8x + 4y = -16
Add this to the first equation
5x - 4y = 1
-8x + 4y = -16
---------------------
-3x = -15
Divide by -3
-3x/-3 = -15/-3
x = 5
Now find y
4x -2y = 8
4(5) -2y = 8
20-2y = 8
Subtract 20
-2y = -12
Divide by -2
y = 6
A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the theoretical probability of pulling a white marble from the bag? A. 4/25 B. 6/19 C. 4/21 D. 6/25
Answer: 6/25
Step-by-step explanation:
There are 6 white marbles out of 25 total marbles. So the probability of drawing a white marble is 6/25
The formula for the area of a triangle is a = zon, where b is the length of the base and h is the height.
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
Answer:
The height is 5 units
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
30 = 1/2 (12) h
30 = 6h
Divide each side by 6
30/6 = 6h/6
5 = h
The height is 5 units
a motor racing has a length of 5 5/6 a straight section of a circuit has a length 1 1/4 miles what fraction of the circuit is the straight section ? give your answer in the simplest form
Answer:
[tex]Fraction = \frac{3}{14}[/tex]
Step-by-step explanation:
Given:
[tex]Total\ Length = 5\frac{5}{6}[/tex]
[tex]Straight\ Section = 1\frac{1}{4}[/tex]
Required:
Fraction of the circuit that is straight section
To solve this, we simply divide the length of the straight section by the total length of the circuit;
This is done as follows;
[tex]Fraction = 1\frac{1}{4} / 5\frac{5}{6}[/tex]
Convert both fractions to improper fractions
[tex]Fraction = \frac{5}{4} / \frac{35}{6}[/tex]
Change division sign (/) to multiplication (*)
[tex]Fraction = \frac{5}{4} * \frac{6}{35}[/tex]
Combine to form a single fraction
[tex]Fraction = \frac{5*6}{4*35}[/tex]
[tex]Fraction = \frac{30}{140}[/tex]
Divide numerator and denominator by 10
[tex]Fraction = \frac{3}{14}[/tex]
Hence, the fraction of the straight section is; [tex]Fraction = \frac{3}{14}[/tex]
What are the resulting coordinates of triangle D′E′F′ after reflecting triangle DEF across the y-axis? answers : A) D′(1,– 4), E′(3, –1), F′(5, –2) B) D′(–1, 4), E′(–3, 1), F′(–5, 2) C) D′(–1, 4), E′(3, 1), F′(5, 2) D) D′(–1, –4), E′(–3, –1), F′(–5, –2)
Answer:
the answer would be B
Step-by-step explanation:
by flipping it to the other side u will have the same numbers but some might be negative hoped it was right
Answer:
its B
Step-by-step explanation:
If f = {(2,5), (3, 2) (4, 6), (5, 1), (7, 2)}, then f is a function.
True or false
Answer:
This function is True
Step-by-step explanation:
Since there is one value of y for every value of x .
ANSWER PLEASE Tyler Deposits 2000 with 8% interest compounded quarterly how much will he have in his account after a year? I need the Principal Quarterly!!
Answer:
2164.86432
Step-by-step explanation:
2000(1+(.08/4))^4
2164.86
I need help I have been sitting for an hour trying to figured this out:(
Answer:
This is really weird. None of them seem to be right.
For the first one, it says that -7.5 is greater than or equal to -6.4, which is not true. -7.5 is less than -6.4. The next one is the only one that makes a true comparison, but I don't agree with the "or equal to" part. -7/8 cannot be equal to 7/8. The next one is false, -4 is greater than -8. Finally, the last one is incorrect as well because -4.2 is less than -3.6.
However, if I had to choose one, I'd choose the second option. It's the closest to being correct.
On a number line, the distance from zero to -8 is 8 units. Which equation demonstrates this concept? A. 82 = 64 B. |-8| = 8 C. |-8| = -8 D. 0 + 8 = 8
Answer:
Option B
Step-by-step explanation:
The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number. The distance, or absolute value, of -8 is 8.
We can represent this by writing:
|-8| = 8
Option B should be the correct answer.
Answer:
B
Step-by-step explanation:
The absolute value of a number means the distance from 0.
For example, |-2| is 2 units from 0.
|-8| = 8
-8 is 8 units from 0.
The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below. On a coordinate plane, 2 lines intersect around (2.8, negative 4.2). Which statement is true about the solution to the system of equations? The x-value is between 2 and 3, and the y-value is between –4 and –5. The x-value is between –4 and –5, and the y-value is between 2 and 3. The x-value is between –2 and –3, and the y-value is between 4 and 5. The x-value is between 4 and 5, and the y-value is between –2 and –3.
Answer:
The x-value is between 2 and 3, and the y-value is between -4 and -5
Step-by-step explanation:
The plot of the equations:
y = 1/4x - 5 (red)
y = -1/2x - 3 (blue)
is shown in the figure attached.
The solution to the system is found at the intersection point. In this case, the solution is x = 2.667 and y = -4.333
Answer:
it is A The x-value is between 2 and 3, and the y-value is between –4 and –5.
Step-by-step explanation:
2x-3y=21 -6x+2y=7 I also need to be shown how to solve this
Answer:
(-9/2 , -10)
Step-by-step explanation:
2x-3y=21
-6x+2y=7
Multiply the first equation by 3
3(2x-3y)=21*3
6x - 9y = 63
Add this to the second equation to eliminate x
6x - 9y = 63
-6x+2y=7
------------------
0x -7y = 70
Divide by -7
-7y/-7 = 70/-7
y = -10
Now find x
2x- 3y = 21
2x -3(-10) = 21
2x +30 =21
subtract 30 from each side
2x = 21-30
2x= -9
Divide by 2
x = -9/2
(-9/2 , -10)
Now lets solve it by elemination method !
[tex]:\implies\sf 2x-3y=21--------(1)\\ \\ \\ :\implies\sf -6x+2y=7-------(2)\\ \\ \\ \sf Eleminate\ (x) \\ \\ \\ \it Multiply\ first \ equation \ with \ 3\ \ \ and \ 2nd \ \ with \ 1 \\ \\ \\ :\implies\sf (2x-3y=21)\times 3 \\ \\ \\ :\implies\sf (-6x+2y=7)\times 1\\ \\ \\ :\implies\sf 6x-9y=63------(3) \\ \\ \\ :\implies\sf -6x+2y=7-----(4)\\ \\ \\ \it\ \ Add \ equation\ 3\ \ and \ 4\\ \\ \\ :\implies\sf 6x-9y=63+ (-6x+2y= 7)\\ \\ \\ :\implies\sf (6x-6x)+(-9y+2y) = 63+7\\ \\ \\ :\implies\sf 0-7y=70\\ \\ \\ :\implies\sf y= \cancel{\dfrac{70}{-7}}= - 10\\ \\ \\ :\implies\sf y= -10 [/tex]
★ Now find the value of x
let's substitute the value of y in equation 4
[tex]:\implies\sf -6x+2y=7\ \ \ \ \ \ (y= -10)\\ \\ \\ :\implies\sf -6x+2\times (-10)=7\\ \\ \\ :\implies\sf -6x-20= 7\\ \\ \\ :\implies\sf -6x = 7+20 \\ \\ \\ :\implies\sf x= \cancel{\dfrac{27}{-6}}= \dfrac{-9}{2}[/tex]
[tex]\underline{\textit{ \ \ So, \ the \ value \ of \ x\ and \ y }}[/tex]
[tex]\bigstar{\boxed{\sf x= \dfrac{-9}{2}}}[/tex]
[tex]\bigstar{\boxed{\sf\ y= (-10)}}[/tex]
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND CORRECTLY. Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had 60 megabytes on it before the transfer, and an additional 4 megabytes were transferred onto it each second. Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).
Answer:
If you use a graphing calculator, at x= 0 (t =0) the graph starts at 60 mb and then climbs 4 mb per sec (slope = 4 mb/sec) from there until Agent Hunt gets caught and executed for espionage.
Hope this helps!
Asher has about a probability of winning then Ethan has which could be the outcome that Ashlee needs to win the game select three options
Answer:
There are 36 total possible outcomes.
Rolling a sum of 11 or higher, there are 3 possible rolls, to make a 3/36 = 1/12 probability.
Rolling a sum of 4 there are also 3 possibilities, so the chance would be the same.
Rolling a sum of 9, there are 4 possibilities, which is a better chance.
Rolling a sum less than 5, there is 6 possibilities, which is a better chance.
Rolling greater than 5 but less than 7 means rolling a sum of 6, there are 5 chances, which is a better chance.
Rolling greater than 9 but less than 11, means rolling a 10, there are 3 possibilities, which is the same.
Rolling greater than 2 and less than 4 means rolling a 3, there are 2 possibilities, which is less.
The answers would be:
Rolling a sum of 9,
Rolling a sum less than 5
Rolling greater than 5 but less than 7
Answer:
There are 36 total
Step-by-step explanation:
HELLO THERE. PLS HELP WITH GEOMETRY
Answer:
x = 114°
y = 27
Step-by-step explanation:
To get x, we simply subtract 66° from 180°. Because of same-side interior angles, the angle below x is 66°.
To find y, we set the expression equal to 66° because they are the same angle. When we solve for y, we get 27.
Answer:
x= 114,
y= 27
Step-by-step explanation:
x= 180 - 66 = 114
6y - 96 = 66, 6y= 66+96, 6y= 162, y= 162/6, y= 27
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per hour, while the truck heads south at
an average speed of 30 miles per hour. Find an expression for their distance apart d (in miles) at the end of thours.
At the end of t hours, the two vehicles are miles apart.
(Simplify your answer. Type an exact answer, using radicals as needed.)
Step-by-step explanation:
[70,30] = 210 miles per hour
d=76.157t is the expression for two vehicles, a car and a truck which were distance apart d (in miles) at the end of t hours.
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per hour, while the truck heads south at an average speed of 30 miles per hour. we need to find expression for their distance apart d at the end of t hours
What is distance?Distance=Speed*Time
distance= speed * time.
*70t be the car traveling EAST at 60 miles per hour after t hours
*30t be the distance of the truck traveling SOUTH at 20 miles per hour after t hours.
*Use the Pythagorean Theorem to find the distance d.
The Pythagoras theorem states that sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
d^2=(70t)^2+(30t)^2
d^2=4900t^2+900t^2
d^2=5800t^2
d=76.157t
Therefore d=76.157t is the required expression for their distance apart d (in miles) at the end of t hours.
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PLEASEEEEEE HELP ME 40 POINTS :((((((!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
hi
Step-by-step explanation:
What is 3(x+2)+2(x+2) ?
Answer:
5x +10
Step-by-step explanation:
3(x+2)+2(x+2)
Distribute
3x+6 +2x+4
Combine like terms
5x +10
Answer:
5x+10
simplified if you want: x+2
Step-by-step explanation:
3x+6+2x+4
5x+10
Plzzzzz help fast 3x + 2 =y y=8
Answer:
2
Step-by-step explanation:
3x + 2 =y y=8
3x + 2=8
3x=6
x=2
Answer:
x = 2
Step-by-step explanation:
3x + 2 = 8
3x = 6
x = 2
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