Answer:
i. E ∩ A = { a , c }ii. E ∪ A = { a , c , f , j }Step-by-step explanation:
Given
E = { a , c , f }
A = { a , c , j }
i) Let's find the intersection of E and A
E ∩ A = { a , c , f } ∩ { a , c , j }
In the case of intersection , we have to list the elements which are common in both sets:
E ∩ A = { a , c }
ii) Let's find the union of E and A
E ∪ A = ( a , c , f } { a , c , j }
In the case of Union, we have to list all the elements which are present in both sets.
E ∪ A = { a , c , f , j }
Hope this helps..
Best regards!!
What does 0 = 0 mean regarding the solution to the system?
Answer:
It means the left side of the equation equals the right side of the equation regardless of the value of the variables. The solution is all real numbers for each variable
Step-by-step explanation:
The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)
Answer:
b. [tex]g(x)=f(x)-5[/tex]
Step-by-step explanation:
You have that the function f(x) has its y-intercept for y=3.
Furthermore, you have that g(x) is a transformation of f(x) with y-intercept for y=-2.
In this case you have that f(x) has been translated vertically downward.
The general way to translate a function vertically in the coordinate system is:
[tex]g(x)=f(x)+a[/tex] (1)
being a positive or negative.
if g(x) has its y-intercept for y=-2, and the y-intercept of f(x) is for y=3, then the value of a in the equation (1) must be a = -5, which is the difference between both y-intercepts, in fact:
a = -2 -3 = -5
Then, the answer is:
b. [tex]g(x)=f(x)-5[/tex]
Answer: g(x) = f(x) - 5
Step-by-step explanation:
just took this
Someone please help! Thxx
Answer:
E, needs more info to be determined
Step-by-step explanation:
We know that Kai takes 30 minutes round-trip to get to his school.
One way is uphill and the other is downhill.
He travels twice as fast downhill than uphill.
This means that uphill accounts for 20 minutes of the round-trip and downhill accounts for 10 minutes of his trip.
However, even with this information, we do not know how far his school is.
In order to figure out how far away his school is, we would need more information about the speed at which Kai is traveling.
Simply knowing that he travels twice as fast downhill is not enough.
This question could only be solved by knowing how many miles Kai travels uphill or downhill in a given time.
NEED HELP AS SOON AS POSSIBLE which interval describes where the graph of the function is negative
Answer:
2 < x < ∞
Step-by-step explanation:
We want where the value of y is less than zero
The value of the graph is less than zero is from x=2 and continues until x = infinity
2 < x < ∞
Answer:
[tex]\boxed{2 < x < \infty}[/tex]
Step-by-step explanation:
The value of y should be less than 0 for the graph of the function to be negative.
In the graph, when it startes from x is 2 the value becomes less than 0 and it keeps continuing until x is equal to infinity.
[tex]2 < x < \infty[/tex]
Use the cubic model y = 6x3 - 5x2 + 4x – 3 to estimate the value of y when x = 2.
a 25
(b 33
c 48
d 79
Done
Try Again
-
Answer:
The answer is B.
Step-by-step explanation:
You have to substitute x = 2, into the equation of y :
[tex]y = 6 {x}^{3} - 5 {x}^{2} + 4x - 3[/tex]
[tex]let \: x = 2[/tex]
[tex]y = 6 {( 2)}^{3} - 5 {(2)}^{2} + 4(2) - 3[/tex]
[tex]y = 48 - 20 + 8 - 3[/tex]
[tex]y = 33[/tex]
simplify the following expressions showing the steps:
(9+9.4i)+(-8.6-4i)
(9.4i)(-4i)
Answer:
a) 17.6 + 5.4i
b) 37.6
Step-by-step explanation:
a) (9 + 9.4i) + (8.6 - 4i)
Collect like terms:
9 + 8.6 + 9.4i - 4i
= 17.6 + 5.4i
b) (9.4i)(-4i)
Expand the brackets:
9.4 * -4 * i * i
[tex]i = \sqrt{-1}[/tex]
Therefore, i * i = -1
=> (9.4i)(-4i) = -37.6 * -1
= 37.6
On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 3, 1) and point K is at (negative 8, 11). What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3? y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 –6 –5 5 7
Answer: (-5, 5)
Step-by-step explanation:
J = (-3, 1) K = (-8, 11) ratio 2 : 3 --> 2 + 3 = 5 segments
x-distance from J to K: -8 - (-3) = -5 units
y-distance from J to K: 11 - 1 = 10 units
Divide those distance into 5 segments:
x = -5/5 = -1 unit per segment
y = 10/5 = 2 units per segment
The partition is 2 segments from J:
x = -3 +2(-1) = -5
y = 1 + 2(2) = 5
The partition is located at (-5, 5)
Answer:
5
Step-by-step explanation:
What is the total amount of 2/5+5/3+9/3 and the lowest common denominator?
The lowest common denominator is lcm(5, 3), which is 15.
The sum of 2/5 + 5/3 + 9/3 is 6/15 + 25/15 + 45/15, which is 76/15 or [tex]5\frac{1}{15}[/tex].
Determine the t critical value(s) that will capture the desired t-curve area in each of the following cases.
a. Central area = 0.95, df = 10
b. Central area = 0.95, df = 20
c. Central area = 0.99, df = 20
d. Central area = 0.99, df = 60
e. Upper-tail area = 0.01, df = 30
f. Lower-tail area = 0.025, df = 5
Answer:
a) Central area = 0.95, df = 10 t = (-2.228, 2.228)
(b) Central area = 0.95, df = 20 t= (-2.086, 2.086)
(c) Central area = 0.99, df = 20 t= ( -2.845, 2.845)
(d) Central area = 0.99, df = 60 t= (-2.660, 2.660)
(e) Upper-tail area = 0.01, df = 30 t= 2.457
(f) Lower-tail area = 0.025, df = 5 t= -2.571
Step-by-step explanation:
In this question, we are to determine the t critical value that will capture the t-curve area in the cases below;
We can use the t-table for this by using the appropriate confidence interval with the corresponding degree of freedom.
The following are the answers obtained from the table;
a) Central area = 0.95, df = 10 t = (-2.228, 2.228)
(b) Central area = 0.95, df = 20 t= (-2.086, 2.086)
(c) Central area = 0.99, df = 20 t= ( -2.845, 2.845)
(d) Central area = 0.99, df = 60 t= (-2.660, 2.660)
(e) Upper-tail area = 0.01, df = 30 t= 2.457
(f) Lower-tail area = 0.025, df = 5 t= -2.571
2. Salvador has 10 cards, each with one number on
it. The numbers are 2, 3, 4,5,5,7,7,7,7,7.
Salvador is going to make a row containing all 10
cards. How many ways can he order the row?
Answer:
15,120 number of ways.Step-by-step explanation:
This is a permutation problem. Given the 10 cards with numbers 2, 3, 4,5,5,7,7,7,7,7 on it, if Salvador is going to make a row call, the number of ways he can order a row is as shown below;
Total number of cards = 10!
number of times the digit 5 was repeated = 2times
number of times the digit 7 was repeated = 5times
The number of ways he can make a row call = 10!/2!5!
= 10*9*8*7*6*5!/2*5!
= 10*9*8*7*6/2
= 10*9*8*7*3
= 15,120 different ways
Hence, the number of ways he can order the row is 15,120 number of ways.
Examine today’s stock listing for SFT Legal, shown below. 52 wk High 52 wk Low Symbol Div. Close Net Change 74.80 44.61 SFT 8.94 56.11 5.74 What was the price of SFT Legal yesterday? a. $47.17 b. $56.11 c. $50.37 d. $61.85
Answer:
c. $50.37
Step-by-step explanation:
Close price was $56.11 and net change was $5.74. so subtract the net change from the close to get yesterday's price.
Answer:
c.50.37
Step-by-step explanation:
CAN ANYONE HELP ME PLEASE? Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $106. Two adults and three children must pay $75. Find the price of the adult's ticket and the price of a child's ticket.
Answer:
adult=18$ and children=13$
Step-by-step explanation:
a= adult. and. c= children
first change the statement into linear equation
3a+4c=106
2a+3c=75
then it just solving for a and y
3a+4c=106. a= 75-3c.
2
3(75-3c)+ 4c=106. solve for c
2
c=13
then find c by substituting the value you got into a . you can you either 3a+4c=106
or 2a+3c=75 to find the answer but the value of a is the same.
2a+3c=75. c=13
2a+3(13)=75
2a=75 -39
2a= 36
a=18
Answer:
Adults Ticket = $18
Child's Ticket = $13
Step-by-step explanation:
Let A denote the price of an adult's ticket
Let C denote the price of a child's ticket
It is given that the three adults and four children must pay $106.
Mathematically,
[tex]3A + 4C = 106 \:\:\:\:\:\:\:\:\:\:\: eq. 1[/tex]
It is also given that the two adults and three children must pay $75.
Mathematically,
[tex]2A + 3C = 75 \\\\2A = 75 - 3C[/tex]
[tex]$ A = \frac{(75 - 3C)}{2} \:\:\:\:\:\:\: eq\:. 2 $[/tex]
Substitute eq. 2 into eq. 1
[tex]3A + 4C = 106[/tex]
[tex]$ \frac{3(75 - 3C)}{2} + 4C = 106 $[/tex]
Simplify,
[tex]$ \frac{3(75 - 3C)}{2} + 4C = 106 $[/tex]
[tex]$ \frac{225 - 9C}{2} + 4C = 106 $[/tex]
[tex]$ \frac{225 - 9C + 2(4C)}{2} = 106 $[/tex]
[tex]$ \frac{225 - 9C + 8C}{2} = 106 $[/tex]
[tex]$ 225 - 9C + 8C = 2(106) $[/tex]
[tex]$ 225 - C = 212 $[/tex]
[tex]C = 225 - 212[/tex]
[tex]C = \$13[/tex]
Substitute the value of C into eq. 2
[tex]$ A = \frac{75 - 3(13)}{2} $[/tex]
[tex]$ A = \frac{75 - 39}{2} $[/tex]
[tex]A = \$18[/tex]
Therefore, the price of the adult's ticket is $18 and the price of a child's ticket is $13
A line has a slope of $-\frac{3}{7},$ and its $y$-intercept is $(0,18)$. What is its $x$-intercept?
Answer:
(42, 0)
Step-by-step explanation:
Since we know the slope and y-intercept we can write the equation of the line in slope-intercept form which is y = mx + b; therefore, the equation is y = -3/7x + 18. To find the x-intercept, we just plug in y = 0 which becomes:
0 = -3/7x + 18
-18 = -3/7x
x = 42
[tex]\text{In order to find your x intercept, plug in 0 to y and solve:}\\\\0=-\frac{3}{7}x+18\\\\\text{Subtract 18 from both sides}\\\\-18=-\frac{3}{7}x\\\\\text{Multiply both sides by 7}\\\\-126=-3x\\\\\text{Divide both sides by 3}\\\\42 = x\\\\\text{This means that the x-intercept is (42,0)}\\\\\boxed{\text{x-intercept: (42,0)}}[/tex]
Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward along the z-axis a distance of 7 units. What are the coordinates of your position
Answer:
(4,0,-7)
Step-by-step explanation:
The initial position was (0,0,0) since it was the origin
Now, we have a movement of positive x at a distance of 4 units, with a distance of z a total of 7 units(negative since downward)
The current position is thus;
(4,0,-7)
Thus correlates to (x,y,z) and our y has remained zero as there is no movement along the y-axis
A patrolmen spend 25% of every day completing paperwork. The patrol and shift each day is 8 hourZ how much of his time does he spend doing paperwork each day
Answer:
25 percent of 8 is 2 so 2 hours
Step-by-step explanation:
EMILIEJI
Find the slope of the line through (3, 7) and (-1, 4)
a) 2
11
Ob) 4
Od
2
O d) 3
Answer:
slope of the line through (3, 7) and (-1, 4) is
[tex]m = \frac{4 - 7}{ - 1 - 3} \\ \\ = \frac{ - 3}{ - 4} \\ \\ = \frac{3}{4} [/tex]
Hope this helps you
Answer:
3/4
Step-by-step explanation:
Using the slope formula
m = (y2-y1)/(x2-x1)
= (4-7)/(-1-3)
= -3/-4
= 3/4
What is viscosity?
O A measure of the oil's quality
O An oil's resistance to flow at different temperatures
A reference to synthetic oil; all oils with viscosity are synthetic
O A new motor oil ingredient
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>
Answer:
viscosity is the state of being thick, sticky, and semifluid in consistency, due to internal friction.
"cooling the fluid raises its viscosity"
a quantity expressing the magnitude of internal friction, as measured by the force per unit area resisting a flow in which parallel layers unit distance apart have unit speed relative to one another.
plural noun: viscosities
"silicone oils can be obtained with different viscosities"
Step-by-step explanation:
The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water. hope this helps you :)
Answer:
O An oil's resistance to flow at different temperatures
Step-by-step explanation:
Internal friction of a moving fluid .
3) and
What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4, 3)?
O y-3 = -2(x+4)
Oy-3=-{(x + 4)
y-3 = {(x + 4)
O y-3 = 2(x + 4)
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The given line passes through the points (-4, -3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4, 3)?
a) y - 3 = -2(x + 4)
b) y - 3= - (x + 4)
c) y - 3 = (x + 4)
d) y - 3 = 2(x + 4)
Answer:
The equation of the line that is perpendicular to the given line and passes through the point (-4, 3) is
a) y - 3 = -2(x +4)
Step-by-step explanation:
First of all, we will find the slope of the given line.
We are given that the line passes through the points (-4, -3) and (4, 1)
[tex](x_1, y_1) = (-4,-3) \\\\(x_2, y_2) = (4,1) \\\\[/tex]
The slope of the equation is given by
[tex]$ m_1 = \frac{y_2 - y_1 }{x_2 - x_1} $[/tex]
[tex]m_1 = \frac{1 -(-3) }{4 -(-4)} \\\\m_1 = \frac{1 + 3 }{4 + 4} \\\\m_1 = \frac{4 }{8} \\\\m_1 = \frac{1 }{2} \\\\[/tex]
Recall that the slopes of two perpendicular lines are negative reciprocals of each other.
[tex]$ m_2 = - \frac{1}{m_1} $[/tex]
So the slope of the other line is
[tex]m_2 = - 2[/tex]
Now we can find the equation of the line that is perpendicular to the given line and passes through the point (-4, 3)
The point-slope form is given by,
[tex]y - y_1 = m(x -x_1)[/tex]
Substitute the value of slope and the given point
[tex]y - 3 = -2(x -(-4) \\\\y - 3 = -2(x +4)[/tex]
Therefore, the correct option is (a)
y - 3 = -2(x + 4)
The equation of the line in point-slope form is y - 3 = -2(x + 4)
What is a linear equation?
A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the y intercept.
The line passes through the point (-4, -3) and (4, 1). Hence:
Slope = (1 - (-3)) / (4 - (-4)) = 1/2
The slope of the line perpendicular to this line is -2 (-2 * 1/2 = -1).
The line passes through (-4, 3), hence:
y - 3 = -2(x - (-4))
y - 3 = -2(x + 4)
The equation of the line in point-slope form is y - 3 = -2(x + 4)
Find out more on linear equation at: https://brainly.com/question/14323743
You are dealt two card successively without replacement from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second is a queen. Round to nearest thousandth
Answer:
0.078
Step-by-step explanation:
The probability P(A) of an event A happening is given by;
P(A) = [tex]\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}[/tex]
From the question;
There are two events;
(i) Drawing a first card which is a king: Let the event be X. The probability is given by;
P(X) = [tex]\frac{number-of-possible-outcomes-of-event-X}{total-number-of-sample-space}[/tex]
Since there are 4 king cards in the pack, the number of possible outcomes of event X = 4.
Also, the total number of sample space = 52, since there are 52 cards in total.
P(X) = [tex]\frac{4}{52}[/tex] = [tex]\frac{1}{13}[/tex]
(ii) Drawing a second card which is a queen: Let the event be Y. The probability is given by;
P(Y) = [tex]\frac{number-of-possible-outcomes-of-event-Y}{total-number-of-sample-space}[/tex]
Since there are 4 queen cards in the pack, the number of possible outcomes of event Y = 4
But then, the total number of sample = 51, since there 52 cards in total and a king card has been removed without replacement.
P(Y) = [tex]\frac{4}{51}[/tex]
Therefore, the probability of selecting a first card as king and a second card as queen is;
P(X and Y) = P(X) x P(Y)
= [tex]\frac{1}{13} * \frac{4}{51}[/tex] = 0.078
Therefore the probability is 0.078
A concert starts at 7:45pm and ends at 1:35 am. How long was the concert?
Answer:
The concert starts at 7:45 pm and ended at 1:35 am which mean the concert going on 5 hours and 50 minutes.
Verify the Cauchy-Schwarz Inequality and the triangle inequality for the given vectors and inner product.
p(x)=5x , q(x)= -2x^2+1, (p,q)= aobo+ a1b1+ a2b2
Required:
a. Compute (p,q)
b. Compute ||p|| and ||q||
Answer:
To verify the Cauchy-Bunyakovsky-Schwarz Inequality, (p,q) must be less than (or equal to) ||p|| • ||q||
(1,1,1) is not equal to (-10,5)
Step-by-step explanation:
a°b° + a^1b^1 + a^2b^2 < 5x (-2x^2 + 1)
Any algebra raised to the power of zero is equal to 1.
a°b° = 1 × 1 = 1
1 + ab + a^2b^2 < -10x^3 + 5x
The vectors:
(1,1,1) < (-10,5)
This verifies the Cauchy-Schwarz Inequality
Triangle Inequality states that for any triangle, the sum of the lengths of two sides must be greater than or equal to the length of the third side.
find the value of a, b, c, and d,
type exact answers and use radicals as needed
Step-by-step explanation:
Using trigonometrical functions we can obtain the required side lengths.
[tex] \sin 45\degree = \frac{a}{16\sqrt 2}\\\\
\therefore \frac{1}{\sqrt 2}= \frac{a}{16\sqrt 2}\\\\
\therefore a = \frac{16\sqrt 2}{\sqrt 2}\\\\
\huge\red {\boxed {\therefore a = 16}} \\\\
\cos 45\degree = \frac{c}{16\sqrt 2}\\\\
\therefore \frac{1}{\sqrt 2}= \frac{c}{16\sqrt 2}\\\\
\therefore c = \frac{16\sqrt 2}{\sqrt 2}\\\\
\huge\purple {\boxed {\therefore c = 16}} \\\\
\sin 30\degree = \frac{a}{b}\\\\
\therefore \frac{1}{2}= \frac{16}{b}\\\\
\therefore b = {16\times2}\\\\
\huge\orange{\boxed {\therefore b = 32}} \\\\
\tan 30\degree = \frac{a}{d}\\\\
\therefore \frac{1}{\sqrt 3}= \frac{16}{d}\\\\
\therefore d = {16\times\sqrt 3}\\\\
\huge\pink {\boxed {\therefore d = 16\sqrt 3}} \\\\
[/tex]
Which statement would produce a tautology? A. p q B. p q C. p p D. q p
Answer: C. p = p
Step-by-step explanation:
A tautology is a statement that is always true.
A. p = q
This is not always true. Counterexample: p = 1 & q = 2
B. p = q
This is the same as A (above)
C. p = p
This is ALWAYS true!
D. q = p
This is the same as A but in reverse order.
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
How many times would a coin have to show heads in 50 tosses to have an experimental probability of 20% more than the theoretical probability of getting heads? Which of the following represents a function
Answer: The required number of heads = 30
Step-by-step explanation:
Given, Total tosses = 50
The theoretical probability of getting head = [tex]\dfrac{1}{2}[/tex]
As per given,
Experimental probability = Theoretical probability + 20% of Theoretical probability
= [tex]\dfrac{1}{2}+\dfrac{20}{100}\times\dfrac{1}{2}[/tex]
= [tex]\dfrac{1}{2}+\dfrac{1}{10}=0.5+0.1=0.6[/tex]
Required number of heads = (Experimental probability) x (Total tosses )
= 0.6 x 50
= 30
Hence, the required number of heads = 30
A relation is said to be a function if each input value corresponds to a unique output value.For example: {(1,2), (3,4), (2,3), (4,1))}
Answer:
35 is the Answer
Which ordered pair is a solution of the equation? y=3x+5 A:(2,11) B:(3,13) C: Neither D: Both
Answer:
A: (2, 11).
Step-by-step explanation:
For an ordered pair to be a solution of an equation, the ordered pair must "fit".
A: (2, 11).
11 = 3(2) + 5
11 = 6 + 5
11 = 11
So, (2, 11) is a solution.
B: (3, 13).
13 = 3(3) + 5
13 = 9 + 5
13 = 14
Since 13 is not the same thing as 14, (3, 13) is not a solution.
Since A works but B doesn't, choices C and D are both eliminated. A is your answer.
Hope this helps!
Simplify the expression:
– 10x + – 4 – 8 + 7x
Answer:
-3x-12
Step-by-step explanation:
-10x-4-8+7x
-3x-4-8
-3x-12
Answer:
-3x-12
Step-by-step explanation:
– 10x + – 4 – 8 + 7x
Combine like terms
-10x +7x -4-8
-3x -12
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown. Step 1: –c = ax2 + bx Which best explains or justifies Step 1?
Answer:
Subtract c from each side, using the subtraction property of equality
Step-by-step explanation:
0 = ax^2 + bx + c
Subtract c from each side, using the subtraction property of equality
-c = ax^2 + bx + c-c
-c = ax^2 + bx
Answer:
subtract c from each side, so the answer would be D
A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation A pizza delivery company buys 54 of these cars. What is the probability that the average mileage of the fleet is between 33.3 and 34.3 mpg?
Answer:
[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]
[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]
An we can use the normal standard table and the following difference and we got this result:
[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]
Step-by-step explanation:
Assuming this statement to complete the problem "with a standard deviation 5 mpg"
We have the following info given:
[tex]\mu = 34[/tex] represent the mean
[tex]\sigma= 5[/tex] represent the deviation
We have a sample size of n = 54 and we want to find this probability:
[tex] P(33.3 < \bar X< 34.3)[/tex]
And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:
[tex]\bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})[/tex]
And we can use the z score formula given by:
[tex] z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And replacing we got:
[tex] z =\frac{33.3- 34}{\frac{5}{\sqrt{54}}}= -1.028[/tex]
[tex] z =\frac{34.3- 34}{\frac{5}{\sqrt{54}}}= 0.441[/tex]
An we can use the normal standard table and the following difference and we got this result:
[tex] P(-1.028<z<0.441)= P(z<0.441) -P(z<-1.028) = 0.670 -0.152 =0.518[/tex]
Write an expression:
a) 4 less than twice a
number
11
Gra
ine
a)
e
Answer:
2x - 4.
Step-by-step explanation:
4 less than twice a number is the same thing as a number times 2 minus 4. Let's say that the number is represented by x.
2 * x - 4 = 2x - 4.
Hope this helps!
