Answer:
0.6395 ; 0.9657 ; 0.7333
Step-by-step explanation:
Given that:
Mean (m) = 10.1
Standard deviation (s) = 2.8
Obtain the following probabilities :
a) less than 10 minutes
P(x < 10)
Z = (x - m) / s
Z = (10 - 10.1) / 2.8
Z = 0.1 / 2.8
Z = 0.0357142
P(Z < 0.357) = 0.6395 ( Z probability calculator)
(b) longer than 5 minutes
P(x > 5)
Z = (x - m) / s
Z = (5 - 10.1) / 2.8
Z = −1.821428
P(Z < - 1.821) = 0.9657 ( Z probability calculator)
(c) between 8 and 15 minutes
P(8 < x < 15)
P(x < 8)
Z = (x - m) / s
Z = (8 - 10.1) / 2.8
Z = − 0.75
P(Z < - 0.75) = 0.22663 ( Z probability calculator)
P(x < 15)
Z = (x - m) / s
Z = (15 - 10.1) / 2.8
Z = 1.75
P(Z < 1.75) = 0.95994 ( Z probability calculator)
P(Z < 1.75) - P(Z < - 0.75)
0.95994 - 0.22663 = 0.7333
What is the value of 3 - (-2)
-5
-1
1
5
Answer:
5
Step-by-step explanation:
if your subtracting a negative number, you just add it.
Answer:
The answer is 5.
Step-by-step explanation:
There is a double negative in the equation, represented by -(-2). A double negative always equals a positive, so the equation will now translate to 3+2, which is 5.
ILL GIVE BRAINLEST
Answer:
it would be increasing.
Step-by-step explanation:
Answer:
its inreasing happy to help brainlest plz
Step-by-step explanation:
Please help me!!!
Write the following comparison as a ratio reduced to lowest terms.
25 nickels to 25 dimes
Answer:
[tex]N:D = 1: 2[/tex]
Step-by-step explanation:
Given
Represent Nickels with N and Dimes with D
[tex]N=25[/tex]
[tex]D=25[/tex]
Required
Write as a ratio to lowest term
Ratio of Nickels to Dime is represented as N:D
[tex]N:D = 25\ nickels : 25\ dimes[/tex]
Convert nickels to dollar
[tex]N:D = 25\ * \$0.05. : 25\ * \$0.10[/tex]
[tex]N:D = 1.25 : 2.5[/tex]
Divide through by 1.25
[tex]N:D = 1.25/2.25 : 2.5/1.25[/tex]
[tex]N:D = 1: 2[/tex]
Hence, the ratio to lowest term is 1:2
Complete the congruence statement by naming the corresponding angle or side.
50 points
Step-by-step explanation:
Triangles RQP and RBC are congruent.
Letters R and P are the 1st and 3rd letters in RQP.
Letters R and C are the 1st and 3rd letters in RBC.
Hence line RP = line RC = line CR (D).
D) CR
ΔRQP ≅ ΔRBC
They are congruent so if you highlight the line PR and find the similar one,
ΔRQP ≅ ΔRBC
The line would be line CR.
Csctheta x tantheta= sectheta
Answer:
TRUE
Step-by-step explanation:
That is true, you get 1/cos(Θ) which is sec(Θ)
please give thanks and hit that heart button :)
4(x-3)=9 what is the first step
Answer:
x= 5.25
Step-by-step explanation:
You have to get x alone, so do inverse operations.
(Basically, reverse what it is)
4(x-3)=9
divide 4 by both sides to get rid of 4 on left side
9/4 = 2.25
(x-3) = 2.25
Now add 3 to both sides, to get x alone
2.25 + 3 = 5.25
x=5.25
Check work
4(5.25-3) = 9
4(2.25) = 9
9=9
Plot the points O(0,0) R(1,4) C(−4, −1)and K(−4, 8)to form triangles ∆ORK and ∆OCK. Decide the relationship between m∡KOC and m∡KOR. Be sure to justify with any algebra and theorems !
Answer:
i think its c
Step-by-step explanation:
Maya drove 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?
Answer:
8 hours
Step-by-step explanation:
110 miles ................. 5 hours
176 miles ..................x hours
x = 176×5/110 = 880/110 = 8 hours
Carol had $497 in her bank account if $912 is withdrawn from it how much is new balance in her bank account
The anwser is -415
hope this helped!
12.48 + (-10.636)
1.814
As a decimal
Answer:
That answer is 1.814
Step-by-step explanation:
The probability of a coin landing on heads when it is flipped is
0.5.
What is this probability written as a percent?
Answer:
50%
Step-by-step explanation:Since there is a 0.5 chance of the coin landing on heads add a zero and take off the .0 and you get 50%.
Answer:
50%
Step-by-step explanation:
The theoretical probability to get either heads or tails is 0.5 (or 50 percent). The probabilities of all possible outcomes should add up to 1 (or 100 percent), which it does.
A line passes through (-2, 10) and (8.-9). Write an equation for the line in point-slope
form AND rewrite the equation in standard form using integers.
Merry Christmas and Happy Holidays!!! <3
Answer:
The Standard Form of the equation of a line is: Ax+By=C
Converting that, once and forevermore, into slope-intercept form, and remembering the result,
the slope m=(-A/B).
If the given slope is 8, the equation of the line is 8x-y=C and we a point to determine C. Use (2,10)
8(2)-10=C
6 = C
The equation of the line, in Standard Form, is: 8x - y = 6
C.P=Rs 20,S.P =Rs24,profit
CP=RS20
SP=RS24
NOW ‚
Profit=SP-CP
=Rs24-Rs20
=Rs4
Pls help with the math!! It would mean a lot if you could print it out and do it! Tyyyyyy WILL MARK BRAINLIST!
Answer:
Step-by-step explanation:
Answer:
mark the answer below as brainliest x
Step-by-step explanation:
Solve for x :)
6x + 4x – 6 = 24 + 9x
Answer:
x=30
Step-by-step explanation:
6x+4x-6=24+9x
combine like terms
10x-6=24+9x
add 6 on both sides
10x=30+9x
subtract 9x on both sides
x=30
Hope this helps! :)
There are 12 pieces of pie left over in the cafeteria. If 6 pieces are apple and 6 are cherry, what fraction of the remaining pieces are apple? Simplify your answer as much as you can.
Answer:
1/2
Step-by-step explanation:
-4x + 10y
X=5
Y=7
Find the value of the algebraic expression
Answer:
50
Step-by-step explanation:
-20+70=50
What is i raised to the 5th power?
Complex numbers algebra
Serena bought 5 shirts for $6 each spent $7 on lunch. she paid for the shirts and lunch using her debit card. The change in the balance of serena’s checking account can be represented by the expression shown. 5(-6) + (-7) which integer represents the change in the balance of serena’s checking account from these purchases? A // -37. B // 23. C // -18. D // 4
Answer:
A -$37
Step-by-step explanation:
5×6=30
30 +7= 37
since your losing money its negatively
-37
EASY MATH PLS HELP
For f(x)= 19-5x, what is the value of f(-3)?
Answer:
f(x)= 19-5(-3)
19+15
f(x)=34
Step-by-step explanation:
A manager is going to purchase new processing equipment and must decide on the number of spare parts to order with the new equipment. The spares cost $179 each, and any unused spares will have an expected salvage value of $49 each. The probability of usage can be described by this distribution: Number 0 1 2 3 Probability .05 .60 .20 .15 Click here for the Excel Data File If a part fails and a spare is not available, 2 days will be needed to obtain a replacement and install it. The cost for idle equipment is $640 per day. What quantity of spares should be ordered
Answer:
service level is 90.78% ( it falls on cumulative probability of 1.00 or 100%)
Therefore the quantity of spares that should be ordered is 3
Step-by-step explanation:
Given that;
spares cost = $179 each
salvage value = $49 each
distribution of the probability of usage;
Number Probability cumulative Probability
0 0.05 0.05
1 0.60 0.65
2 0.20 0.85
3 0.15 1.00
Now
the cost of stock-out (underestimation) Cu
= $640 per day × 2 days = $1,280
the cost of excess inventory (overestimation) Co
= Unit cost - salvage value = $179 - $49 = $130
Therefore Service Level = Cu / ( Cu + Co )
we substitute
Service Level = $1,280 / ( $1,280 + $130 )
= $1,280 / $1410
= 0.9078 or 90.78%
so service level is 90.78% ( it falls on cumulative probability of 1.00 0r 100%)
Therefore the quantity of spares that should be ordered is 3
Which of the following expressions is a correct interpretation of the expression 2-(-7)
PLEASE ANSWER NOW!!! DURNING A QUIZ
Answer:
B
Step-by-step explanation:
Because you are subtracting a negative number from a positive number, the two negatives will cancel each other out and it will move to the right.
What is the 21st term of the sequence with a1 = -6 and d = 4?
choices-
74
70
78
-40
Answer:
[tex]\boxed {\boxed {\sf 74}}[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence can be found using the following formula.
[tex]a_n=a_1+(n-1)d[/tex]
Where n is the term, a₁ is the first term, and d is the common difference.
We want to find the 21st term, we know the first term is -6, and the common difference is 4.
[tex]n= 21\\a_1= -6 \\d=4[/tex]
Substitute the values into the formula.
[tex]a_{21}=-6+(21-1)4[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Solve inside the parentheses.
[tex]a_{21}=-6+(20)4[/tex]
Multiply 20 and 4.
[tex]a_{21}= -6+80 \\[/tex]
Add -6 and 80.
[tex]a_{21}=74[/tex]
The 21st term of the sequence is 74
Answer:
SoluTion :-Here we will use the formula
[tex] \tt \: a_n \: = a_1 +( n - 1)\: \times d[/tex]
[tex] \tt\: a_{21} = −6+(21−1)4[/tex]
By using PEMDAS
[tex] \tt \: a_{21} = - 6 + (20)4[/tex]
[tex] \tt \: a_{21} \: = - 6 + 80 = 74[/tex]
[tex] \huge \tt \bigodot \: \: 74[/tex]
noelle is drawing fraction bars to model the sum of 1/5 and 3/4. What is the smallest number of equally sized pieces each fraction bar can be broken into to find the sum?
Answer:
the smallest number of equally sized pieces is 20
Step-by-step explanation:
The computation of the smallest number of equally sized pieces is as follows:
Given that
The sum of 1 by 5 and 3/4
Now
if we sum it
= 1 ÷ 5 + 3 ÷ 4
= 4 + 15 ÷ 20
= 19 ÷ 20
Now as if we do the lcm so the denominator sum be 20
Therefore the smallest number of equally sized pieces is 20
Read this E[2X^2 â€" Y].
I know part of it is read as the expected value of two times x square but what do these symbol mean â€" Y.
Write it down in English letters not mathematical expression
Thanx
Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2X ² - Y.
If you don't know how X or Y are distributed, but you know E[X ²] and E[Y], then it's as simple as distributing the expectation over the sum:
E[2X ² - Y] = 2 E[X ²] - E[Y]
Or, if you're given the expectation and variance of X, you have
Var[X] = E[X ²] - E[X]²
→ E[2X ² - Y] = 2 (Var[X] + E[X]²) - E[Y]
Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.
If 21% = 96 students how many students is 1%.
Or you can help with the whole question
Answer:
1% are 5 students
Step-by-step explanation:
21% is 96 then
1% is X
X = 1*96 / 21
X = 5
What happens to the graph of f(x) = 3(.96)when a constant is added
to it and it becomes f(x) = 3(.96)X + 12?
Answer:
The graph of the function gets vertically shifted upwards by 12 units.
Step-by-step explanation:
I’ll give you a brain list !
Suzie is making macaroni for her cousin's birthday party. For every 9 cups of macaroni, she needs to use 27 cups of water. Match the proportional relationships in the table Suzie can use.
Answer: 1 cup of macaroni for 3 cups of water
Step-by-step explanation:
9/27 divided 3=1 cup/3 cup
Which of the following is equal to 3.TE?
Can someone who is good at math help me with my homework I can pay you!!!