Answer:
The probability is [tex]P(\= X > 12 ) = 0.72688[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 12.3 \ years[/tex]
The standard deviation is [tex]\sigma = 0.7 \ years[/tex]
The sample size is n = 14
Generally the standard error of the mean is mathematically represented as
[tex]\sigma _{x} = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma _{x} = \frac{0.7}{\sqrt{14} }[/tex]
=> [tex]\sigma _{x} = 0.1871[/tex]
Generally the probability that their mean life will be longer than 12 years is mathematically represented as
[tex]P(\= X > 12 ) = P(\frac{\= X - \mu }{\sigma} > \frac{12 - 12.3}{ 0.1871 } )[/tex]
[tex]\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )[/tex]
[tex]P(\= X > 12 ) = P(Z > -0.6034 )[/tex]
From the z table the area under the normal curve to the left corresponding to -0.6034 is
=> [tex]P(Z > -0.6034 ) = 0.72688[/tex]
=> [tex]P(\= X > 12 ) = 0.72688[/tex]
PLZZZ HELP DUE IN 5 MINS
Which set of ordered pairs represents a function?
{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)}
{(6, 6), (6, 8), (-8, -7), (-3, -8), (6,6),(6,8),(−8,−7),(−3,−8)}
{(1, 8), (9, -3), (7, -4), (7, -6), (1,8),(9,−3),(7,−4),(7,−6)}
{(-5, -1), (-3, -7), (-5, 3), (-7, -4), (−5,−1),(−3,−7),(−5,3),(−7,−4)}
Answer:
{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)}
Step-by-step explanation:
recall that for a function to be valid, every input must give one and only 1 output. (i.e every x-ordinate must have only one unique corresponding y-ordinate)
I have highlighted in bold and underlined the entries for each of the other choices where an x-value gives more than one possible y-value, hence these are not functions. only the first option satisfies this condition:
{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)} Every x-value has a unique y-value, so it is possible that this is a function.
{(6, 6), (6, 8), (-8, -7), (-3, -8), (6,6),(6,8),(−8,−7),(−3,−8)} (not a function)
{(1, 8), (9, -3), (7, -4), (7, -6), (1,8),(9,−3),(7,−4),(7,−6)} (not a function)
{(-5, -1), (-3, -7), (-5, 3), (-7, -4), (−5,−1),(−3,−7),(−5,3),(−7,−4)} (not a function)
What is the length of side a?
Line a to b is 5
line b to c is a
Answer: which side is a? I can’t answer the question without knowing the sides
Step-by-step explanation:
y> 3x +3
1
yer - 2
트로
Answer:
Is this in a different language?
Step-by-step explanation:ok:)
slope intercept form: passes through (1, -3), slope = -1
Answer:
y=-x-2
kkkkjkjkjkjkjkj
Find the value of X. Geometry!!!
Answer:
D. 19
Step-by-step explanation:
x+5 has to equal half of the base(3x-9)
I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24
48/2=24 Therefore, the answer is D, 19
What is 10c+9-7c.....?
Answer:
17c + 9 = 10c + 9 - 7c
COMBINE LIKE TERMS
10c + 7c = 17c
9 IS NOT A LIKE TERM, SO WE LEAVE IT ALONE
Solve this equation:
2.7x (27 + 4x) - 45y + 2
if y = 3
and x = 5
Sorry if this is a tough problem.
Answer:
501.5
Step-by-step explanation:
Fill it in.
2.7(5)(27+4(5))-45(3)+2Multiply, 13.5(27+20)-135+2Add, 13.5(47)-133Multiply, 634.5-133Subtract, 501.5Answer: 2.7x (27 + 4x) - 45y + 2 = 501.5
Step-by-step explanation:
Start with 2.7x (27 + 4x)
so 2.7(5) = 13.5
and then you change the number that multiplies with the others:
13.5 (27 + 4x)
Then multiply them:
364.5 + 54x
And then add them with the rest of your equation:
364.5 + 54x - 45y + 2
Now multiply the numbers that have the variables:
364.5 + 54x - 45y + 2
54(5) = 270 and -45(3) = -135
then add them to the equation again:
364.5 + 270 -135 + 2
And then add them or subtract them altogether (I added 364.5 and 270 first and I got: 634.5. And then I subtracted/added -135 + 2 second and I got: -133.
then do 634.5 - 133 and you should get 501.5.
Show that x = 0 is not a solution to the equation 2x = x + 5. Explain your answer. will brainlist
Answer:
Step-by-step explanation:
If you substitute 0 to x the equation will not be right.
2*0 = 0 + 5
0 ≠ 5
0 is not equal to right. So 0 is not a solution for the equation.
The solution is actually 5. X=5
Answer:
:3))
Step-by-step explanation:
2x = x + 5 original equation
2(0) = 0 + 5 plug in 0 ("solution") for x
0 = 0 + 5 simplify 2(0)
0 = 5 (not true) simplify 0 + 5
Because the final answer to the equation wasn't true when using the input value of 0 for x, we know that 0 is not a solution to this equation.
helppppp please will give brainliest
Answer:
the value of y is 3 more than twice x
Step-by-step explanation:
we find the slope is 2 because 4/2=2
y=2x+b
we put in the first point (1,5)
5=2+b
b=3
y=2x+3
Answer:
i think its c
Step-by-step explanation:
because 4 times 1 is 4 and if u add 1 than u get 5 which is y
im not sure if this is right lmk
The sum of a number and twice another number is 17. The sum of twice the first number and the second number is 4. What are the two numbers?
a) define the variables
b) write a system of equations
c) solve by elimination
Step-by-step explanation:
Given that,
a + 2b = 17
Also,
2a + b = 4
By adding the above expressions we get,
a + 2b + 2a + b = 17 + 4
3a + 3b = 21.
3 (a + b) = 21
a + b = 21/3
a + b = 7 Let us take 'b' = 10
a + 10 = 7
a = 7 - 10
a = -3
Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions
a + 2b = 17
-3 + (2 × 10) = 17
-3 + 20 = 17
17 = 17
2a + b = 4
(2 × -3) + 10 = 4
-6 + 10 = 4
4 = 4
Therefore, a = -3 and b = 10 [(-3,10)] is the solution.
Solve the system:
2x - y = 4
x + y = 5
( 3 , 2 ) Equation Form: x = 3 , y = 2
Answer:
(x=3, y=2)
Step-by-step explanation:
2x-y=4------equation1
x+y=5-----equation2
Add equation 1 to equation2
3x=9
x=9/3
x=3
substitute x=3 into equation 2
x+y=5
3+y=5
y=5-3
y=2
What is 0/0
What is 1/1
Answer:
0/0=0. 1/1=1.
Step-by-step explanation:
i passed grade 1.
Answer:
1) 0/0 = 0
2) 1/1 = 1
Step-by-step explanation:
hope this helps
what is 8y – 3z + 2 + 10y + 5z – 2 simplified?
Answer:
18y + 2z
Step-by-step explanation:
So first things is first, arrange all terms with the same degree.
8y + 10y - 3z + 5z + 2 - 2
Next combine like terms for everything
8y + 10y = 18y cuz 8 + 10 is 18.
-3z + 5z = 2z cuz -3 + 5 = 2
2 - 2 = 0 cuz that's a rule in math.
So the final answer is 18y + 2z.
You don't have a whole number cuz it is 0. You can put it there if you want as well.
18y + 2z + 0
please need help on this one
For her phone service, Kaitlin pays a monthly fee of $10, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $105.27. What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m.
The equation of this problem is:
0.07m + 10 ≥ 105.27
Subtract 10 from both sides:
0.07m ≥ 95.27
Divide 0.07 on both sides:
m ≥ 1,361
Therefore, the number of minutes that Kaitlyn acquires each month is greater than or equal to 1,361 minutes.
Hope this helps!!
Kay
The possible number of minutes Kaitlin has used her phone in a month is 1361 minutes or more.
Let's set up an inequality to represent Kaitlin's monthly charges. We know that the total cost, C, for the month is the sum of the monthly fee ($10) and the additional charge based on the number of minutes used ($0.07 per minute, which can be written as 0.07m, where m represents the number of minutes used).
So, the inequality can be written as: C = 10 + 0.07m
Now, we are given that the least amount she has been charged in a month is $105.27. Therefore, we can write the inequality:
C ≥ 105.27
Substitute the expression for C from the first inequality: 10 + 0.07m ≥ 105.27
Now, solve for m:
Subtract 10 from both sides of the inequality:
0.07m ≥ 105.27 - 10
0.07m ≥ 95.27
Finally, divide both sides of the inequality by 0.07:
m ≥ 95.27 / 0.07
m ≥ 1361
To know more about possible number ;
https://brainly.com/question/29765042
#SPJ2
I WILL MARK BRAINLIST
help ASAP and please answer both questions asked
Answer:
1. 768 square yards
2. 384 square yards
Step-by-step explanation:
1. 16 x 16 = 256
256 x 3 = 768 square yards
2. 16 x 16 = 256
256/2 = 128
128 x 3 = 384 square yards
Find the unknown side of the triangle. Urgent
Answer:
13 in
Step-by-step explanation:
It’s a right triangle, so use the Pythagorean Theorem.
12²+5²=c²
144+25=c²
169=c²
√169=c
13=c
calculate the mean of the following. 3,5,6,4,7,3,9,8
Step-by-step explanation:
mean = sum of observation/ no. of observation
mean = 3+5+6+4+7+3+9+8/ 8
mean = 45/8 = 5.6Answer:
3+5+6+4+7+3+9+8/8
45/8
5.625
An object with initial temperature 120° F is submerged in large tank of water whose temperature is
70°F. Find a formula for F(t), the temperature of the object after t minutes, if the cooling constant is
k= 0.2
F(t)=
Answer:
[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]
Step-by-step explanation:
Newton's law of cooling states
"that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"
Newton's Law of Cooling is given by the formula
[tex]F(t)=Ts+(T0-Ts)^{e-kt[/tex]
Where
F( t ) is the temperature of the object at a given time t
T s is the surrounding temperature
T 0 is the initial temperature of the object
k is the constant
Given k=0.2
Hence the expression is
[tex]F(t)=Ts+(T0-Ts)^{e-0.2t[/tex]
please help me
evaluate
-x^2 + 2
for
x=5
Answer: Answer is 27.
Step-by-step explanation: -5 squared is 25 plus 2 is 27.
Answer:
27
Step-by-step explanation:
-x^2+2
Substitute the x for a 5
-5^2+2
-5^2=25
25+2=27
The answer is 27
Is 5 a irrational number
Answer:
no.
Step-by-step explanation:
No. Because, 5 is an integer, that's why it's not irrational.
If I’m tiling a floor of a 10’ x 10’ room and find that 100 tiles will be needed how many tiles will be needed to tile a floor of 20’ x 20’ room
Answer:
400 Tiles
Step-by-step explanation:
20 x 20 = 400
(Length x Width)
Answer:
400
Step-by-step explanation:
Enough that you will need a large piggy bank to take money out of.\
There are 4 squares of equal size that will fit the floor of a 20 by 20 foot room.
Therefore you will need 4 * 100 = 400 tiles.
You could do it by noting that the floor has 20 by 20 tiles which is 20^2 which is 400.
Choose the incorrect statement
The polarity or poles in Earth's magnetic
field actually switch and is recorded in the sea
floor.
The youngest rock is actually at the center
of the ocean and older the farther apart that
we become.
The polarity or poles in Earth's magnetic
field actually switch and is recorded in the
atmophere.
Hi
Answer:
btw i am pretty sure thats physics
Tom is going to build a fence around his garden which is a rectangle measuring by He will first put in posts which will be 4 m apart. If the posts cost $3.40 each, what will be the total cost for all the posts?
Answer:
13.6
Step-by-step explanation:
4 × 3.40 = 13.6
I hope I have helped
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag? Explain your reasoning.
Given:
Total number of marbles in the bag = 150
There are 21 blue marbles for every 4 white marbles.
To find:
The number of blue marbles in the bag.
Solution:
Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.
Let the number of blue marbles be 21x and white marbles be 4x.
Total number of marbles in the bag = 150
[tex]21x+4x=150[/tex]
[tex]25x=150[/tex]
Divide both sides by 25.
[tex]x=\dfrac{150}{25}[/tex]
[tex]x=6[/tex]
Now,
[tex]\text{Blue marbles}=21x[/tex]
[tex]\text{Blue marbles}=21(6)[/tex]
[tex]\text{Blue marbles}=126[/tex]
Therefore, the number of blue marbles is 126.
How many roots do the functions have in common?
f(x)=2x^2-4x-16
Please Help??
Answer:
Step-by-step explanation:
Given the function f(x)=2x^2-4x-16
To know the amount of roots that the function have in common, we need to first factorize the expression as shown;
f(x)=2x^2-4x-16
f(x)=2x^2-8x-16
Let f(x) = 0
0 =2x^2-4x-16
2x^2-4x-16 = 0
Divide through by 2;
x^2-2x-8 = 0
x^2 - 4x + 2x - 8 = 0
x(x-4)+2(x-4) = 0
(x+2)(x-4) = 0
x = -2 and 4
Hence the roots of the function are -2 and 4. They did not have any common roots
Answer:
f and g share the same root(s).
Step-by-step explanation:
can somebody please help me
Answer:
Step-by-step explanation:
3,249
Answer:
360
Step-by-step explanation:
So, here's what we know...
Andres has 3,240 cookies and is putting them in boxes and wants 9 cookies in each.
To solve this, the easiest way is to divide 3,240/9. Since Andres is splitting putting 9 cookies in a box. The equation to solve this would be...
3,240 cookies ÷ 9 cookies per box = x boxes
Now, let's do the math!
3,240 ÷ 9 = 360
So, Andres used 360 boxes!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Case #3
All of Mr. Bassett's science classes are going to the Natural
History Museum. A tour guide is needed for each group of
eight students. His classes have 28 students, 35 students,
22 students, 33 students, and 22 students.
How many tour guides are needed?
Answer:
17.5 tour guides are needed . In my idea.
Answer:
18
Step-by-step explanation:
If you add all of the students then divide by 8 you get 17.5. However, you can't have .5 of a tour guide, so you round up to 18.
28+35+22+33+22=140
140/8=17.5
17.5 ≈ 18 tour guides
Hope this helps!
What's the diameter of 76cm circle circumference
Answer:
The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.
For example):
Finding diameter - 76/3.14 = 24.19 (d)
Finding radius - 24.19/2 = 12.095 (r)
CHECK MY ANSWERS PLEASE!!
1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)
Answer:
1. A) OPS is congruent to RSU
2. C) RSP is congruent to TSU
Step-by-step explanation:
1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.
✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.
❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.
❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.
OPS and TSU are also not congruent.
2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:
C) RSP is congruent to TSU