Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x<53)?
A. 0.84
B. 0.16
C. 0.025
D. 0.975
The correct answer is A. 0.84
The value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We know,
[tex]\rm Z = \dfrac{X-\mu}{SD}[/tex]
X = 53, μ = 50, and SD = 3
[tex]\rm Z = \dfrac{53-50}{3}[/tex]
Z = 1
From the Z table.
The value of P(X<53) = 0.84
Thus, the value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
Learn more about the normal distribution here:
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SOMEONE PLEASE HELP :(
Answer:
[tex](x-3)^{2} = 10[/tex]
Step-by-step explanation:
[tex]\\Question 1\\\\-2xc = -6x\\2xc = 6x\\c = \frac{6}{2} \\c = 3\\x^{2} - 6x + cx^{2} = 1 + c^{2} \\x^{2} - 6x + 3^{2} = 1 + 3^{2}\\x^{2} - 6x + 9 = 1 + 9\\x^{2} - 6x + 9 = 10\\(x - 3)^{2} = 10\\REWRITINGx^{2} - 6x = 1 is equal (x -3)^{2} = 10\\[/tex]
I hope this help!
I don't know the second one ^-^
5x-6=29. What does x equal
Answer:
Solution given:
5x-6=29.
5x=29+6
x=35/5=7
x=7 is your answer
Answer:
x=7
Step-by-step explanation:
⚠️ Urgent PLS HELP
links will be reported
Find the value of x .
Answer: x=18
Step-by-step explanation: ...
Morgan is a teacher and takes home 87 papers to grade over the weekend. She can grade at a rate of 9 papers per hour. How many papers would Morgan have remaining to grade after working for 7 hours?
Answer: 24
Step-by-step explanation: Delta math a=78+(7−1)(−9)
Answer:
2369.9
Step-by-step explanation:
Add it back
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show work pls!!!)
Answer: 8
Explanation: To multiply two square roots together, simply multiply the numbers inside the square roots together to get [tex]\sqrt{64}[/tex] which is 8.
Notice that when you multiply a square root times itself, the radical disappears, and you're left with the number inside the original square root.
(NO LINKS)
Please help this assignment is over due and I don't get it thx ;)
Answer:
45
Step-by-step explanation:
9 x 5 = 45
45 / 9 = 5
45 is the answer!
the area of a circle is 0.2826 square miles. what's is the circle's radius? use 3.14 for pi
9. Please help besties
Or user elpink25
Answer:
1
Step-by-step explanation:
The method I used is elimination.
x - 2y = 1
-x - 4y = -7 To find y, we need to cancel the x by using it's opposite. This also affects the other numbers in the equation. This makes positive 4 into a negative and positive 7 into a negative.
Now we are left with, -2y = 1
-4y = -7
Add and you get, -6y = -6
Divide -6y/-6 = -6/-6
Our answer is, y = 1.
Five different DVDs cost:
$11.50, $11.00, $17.00, $21.25, $16.00
median =
$16.00
$10.25
$15.35
Answer:
16
Step-by-step explanation:
mode = the most
mean = ave
median = the no. in between
so arrange those five costs the one in the middle is 16
plz help i give 50 points
Answer:
area of trapezium = 20 in^2
Step-by-step explanation:
here's your solution
==> area of trapezium = 1/2*(sum of parrel side)*distance between them
==> length of parrel sides = 6 in and 2 in
==> height = 5 in.
==> area of trapezium = 1/2(6 + 2) * 5
==> area of trapezium = 20 in^2
hope it helps
Step-by-step explanation:
sorry for this
"i try so can you rate"
A student formed a pattern in which each term is represented by a sum. The first four terms of the pattern are shown below Which expression can be used to determine the value of the sum in any term, n
Answer:
n2
Step-by-step explanation:i did this last year
Kurt recorded the amount of rainfall in each month for one year. What was the total rainfall that year?
Answer:wheres the question
sadStep-by-step explanation:
sadsadsa
What is the length of segment AB? PLEASE HELP!!!
Answer:
4
Step-by-step explanation:
we have hypotenuse and opposite so we can use sin
sin(45) =O/4√2
rearrange
sin(45)x4√2 =O
=4
One earthquake has MMS magnitude 3.2. If a second earthquake has 390 times as much energy (earth
movement) as the first, find the magnitude of the second quake.
Solve 3x^2 if x is 10
By the way, the x is a variable
300 is your answer.......
Which number line shows the graph of x 11?
OA
+
9
10 11 12 13 14
10 11 12 13 14
+
9 10 11 12 13 14
6 7 8 9
10 11 12 13 14
Answer:
B
Step-by-step explanation:
X ≥ 11 means that x could equal 11. The number is included on the answer. So, the circle on the number line has to be closed/filled in. X could be any number equal to or greater than 11, so the number line has to be shaded to the right. :D
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? (5 points)
Group of answer choices
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the x-axis
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the y-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection over the x-axis
Counterclockwise rotation about the origin by 270 degrees followed by reflection over the y-axis
Answer:
Step-by-step explanation:
Counterclockwise rotation about the origin by 180 degrees followed by reflection over the y-axis
What is the following simplified product? Assume x>0.
218x3 3.V10x4 – x15x?
0 244² √5% - 44² √10x
24x35x - 4x3 10X
24x3 75-4x310x
O 24x35x +4x® /10x
Answer:
[tex]24x ^{3} \sqrt{5 - 4x ^{3} } \sqrt{10x} [/tex]
Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1725.
What was the rate charged per hour by each mechanic if the sum of the two rates was $195 per hour?
Note that the ALEKS graphing calculator can be used to make computations easier.
х
5
?
First mechanic: $ [per hour
Second mechanic: $ per hour
Answer:
75
120
Step-by-step explanation:
Let the first mechanic's hourly rate = x
Let the second mechanic's hourly rate = y
x + y = 195
15x + 5y = 1725 Divide this equation by 5
3x + y = 345 Write the first equation below this one. Subtract
x + y = 195
2x = 150 Divide by 2
x = 150/2
x = 75
====================
x + y = 195
75 + y = 195
y = 195 - 75
y = 120
Abdallah earns AED 30 for each car he washes. He also gives his little brother AED 20 form his weekly earnings. This week, he wants to have at least / minimum AED500 in spending money. Which inequality represents the number of cars that he must wash?Single choice.
A.30 x + 20 > 500
B.-30x+20 <500
C.30x -20 ≥ 500
D.20x +30≥500
Answer:
Step-by-step explanation:
What is the solution to |2x-8|<2?
Answer:
A) 3<x<5
Step-by-step explanation:
Given: |2x-8|<2
Make two inequalities:
First inequality:
2x-8<2
2x<10
x<5
Second inequality:
2x-8>-2
2x>6
x>3
Therefore, your solution is 3<x<5 since the two inequalities pass each other, making an "and" inequality.
1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red.
Answer:
You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.
Step-by-step explanation:
6 - 2 = 4
The 8 would stay the same
There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)
Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.
Recall that the angles of every triangle sum to 180°. The three angles of a triangle ABC are even consecutive integers. Find the measures of all three angles of the triangle, listing them from the smallest to the largest angle. A is the smallest angle: degrees B is the next angle: degrees C is the largest angle: degrees
Answer:
A = 58
B = 60
C = 62
Step-by-step explanation:
A + B + C = 180
A = 58
B = 60
C = 62
58 + 60 + 62 = 180
−10 = −0.4k
this is probably easy but can someone find k
Answer: k = 25
hope this helped :)
what is the unit price of 12 cupcakes for 25 dollars
Answer:
Unit price of 12 cupcakes for 25 dollars = 25/12
= 2.08 dollars
Answer:
The unit price would be $2.08 for a cupcake because if you divide 12 and 25, you would get 2.08.
Step-by-step explanation:
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The table below shows the numbers of tickets sold at a carnival and the amounts of money in dollars collected Cost of Carnival Tickets
Number of Tickets. Amount $ Collected.
5 $15
10. $30
15. $45
20. $60
25. $75
Which equation represents the relationship
A y = x + 10
B y = 5x
C y = x + 15
D y = 3x
graph the function y=x3+3x2-1. based on the graph what is the least possible x-value if y=0? round your answer to the nearest hundredth, if necessary
o -2.88
o -2.00
o -0.65
o -0.53
Answer:
-2.88
Step-by-step explanation:
When graphed Y=0 crosses the X-axis three times
X= -2.88, -0.65, 0.53
Answer:
It's A on edge or -2.88
Step-by-step explanation:
NO LINKS/FLIES PLEASE .
Morgan pays $25 in monthly fees for her baseball team's uniforms and field rental. What kind of expense is the fee she pays?
A. Variable
B. Income
C. Fixed
D. This would not be an expense.
Examine the figure of two parallel lines cut by a transversal.
What is the value of x?
Answer:
x=17
Step-by-step explanation:
The angles present are Alternative interior angles. That means that they are congruent. Meaning 4x+7 = 75. To solve for 7, you subtract 7 from both sides. That leaves you with 4x=68. Then you divide both sides with 4. Then you get x=17.
Hope this helps!
BTS!!
Answer:
x = 17
Step-by-step explanation:
75° and (4x + 7)° are alternate interior angles.
If two lines are cut by a transversal, then the alternate interior angles are congruent.
75 = 4x + 7
=> 4x = 68
=> x = 17
