Subtract 2(1/2) - 4(1/4)
A. -2(1/4)
B. -1(3/4)
C. 1(3/4)
D. 7(3/4)
The amount dispensed by a soft-drink dispensing machine has a normal distribution with mean μ and standard deviation 0.155 ounce. The mean amount dispensed, μ , can be controlled. At what value should μ be set so that a 16 ounce cup will overflow with probability 0.01? Round your answer to two decimal places.
Answer: [tex]\mu=15.64[/tex]
Step-by-step explanation:
Let x be a random variable that represent the amount dispensed by a soft-drink dispensing machine which has a normal distribution with mean μ and standard deviation [tex]\sigma=[/tex] 0.155 ounce.
To find : μ such that P(X>16)=0.01
Consider P(X>16)=0.01
[tex]P(\dfrac{X-\mu}{\sigma}>\dfrac{16-\mu}{0.155})=0.01[/tex]
Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
Also, z-table , one -tailed z-value for p-value of 0.01= 2.326
Then, [tex]\dfrac{16-\mu}{0.155}=2.326[/tex]
[tex]\Rightarrow {16-\mu}=0.155\times2.326\\\\\Rightarrow {16-\mu}=0.36053\\\\\Rightarrow\ \mu=16-0.36053=15.63947\approx15.64\\\\\Rightarrow\ \mu=15.64[/tex]
Find equation for a vertical line passing through the point (-12,-4)
Answer:
x = -12
Step-by-step explanation:
This is a vertical line, so the equation will be of the form x = k, where k is any x-value.
The conclusion that x = -12 was found because the x-value in the point was -12.
13 + ( 4 ÷ 2) × 5 - 17 =? The 4 the number 3 is next to it but it's suppose to look like the small one.
Answer:
6
Step-by-step explanation:
13 + (4÷2) * 5 - 17
= 13 + 2* 5 - 17
= 13 + 10 - 17
= 23 - 17
= 6
What is the equation of the graphed line written in
standard form?
O x=-3
O y=-3
O x + y = -3
O x-y=-3
Answer: y=-3
Step-by-step explanation:
Steve made 50$ raking leaves 75$ mowing lawns. He gave 60% of his earnings to his mother. How much did Steve give to his mother?
The capacities (in ampere-hours) were measured for a sample of 120 batteries. The average was 178 and the standard deviation was 12. Find a 95% lower confidence bound for the mean capacity of this type of battery. Round the answer to two decimal places. The lower confidence bound is .
Answer: A 95% lower confidence bound for the mean capacity of this type of battery = 175.85
Step-by-step explanation:
Given: The capacities were measured for a sample : n= 120 batteries.
[tex]\overline{x}=178[/tex] and [tex]\sigma=12[/tex]
lower confidence bound= [tex]\overline{x}-z^c\times\dfrac{\sigma}{\sqrt{n}}[/tex]
Critical z value for 9%% confidence = 1.96
So, a 95% lower confidence bound for the mean capacity of this type of battery will be :
[tex]178-(1.96)\dfrac{12}{\sqrt{120}}\\\\=178-(1.96)(1.0954451)\\\\=(1.96)(1.0954451)\approx175.85[/tex]
Hence, a 95% lower confidence bound for the mean capacity of this type of battery = 175.85
HELP PLEASE WILLMARK BRAINLIEST
Answer: D
Step-by-step explanation:
How many ways can a store manager arrange a group of 1 team leader and 3 team workersfrom his 25 employees
Answer:
2300 waysStep-by-step explanation:
in this problem, we are expected to use commination to arrive at a solution
Given data
number of employee= 25
number of team=3
The expression for combination is given as
C(n,r)=(nr)=n!/(r!(n−r)!)
C(25,3)=25!/(3!(25−3)!)
C(25,3)=25!/(3!(22!)
C(25,3)=25*24*23*22!/3!(22!)
C(25,3)=25*24*23*/3!
C(25,3)=25*24*23*/3*2*1
C(25,3)=25*24*23*/6
C(25,3)=13800/6
C(25,3)=2300 ways
The number of ways where a store manager arranges a group is 50,600.
Given that,
There is a group of 1 team leader and 3 team workers from his 25 employees.Based on the above information, the calculation is as follows:
[tex]= ^25C_4 \times 4C_1\\\\= \frac{25!}{4!(25-4)!} \times \frac{4!}{1!(4-1)!} \\\\= \frac{25!}{4! \times 21!} \times \frac{4!}{1! \times 3!} \\\\= 12,650 \times 4[/tex]
= 50,600
Therefore we can conclude that the number of ways where a store manager arranges a group is 50,600.
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In 2016, humans produced 29 billion tonnes of carbon dioxide. This is set to grow by around 40% by the year 2035. How many tonnes of carbon dioxide will be produced by humans in 2035? Give your answer in standard form.
Answer:is it 40.6 billion tonnes of carbon dioxide
Step-by-step explanation:
please answer asap!!
Answer:
MON= 15
Step-by-step explanation:
9x+44+6x+3=77
15x+47=77 subtract 47 from both sides
15x=30 divide both sides by 15
x=2
6x+3
(6*2)+3
12+3=
15
Hope this helps
ratios. 12 yards to 9 feet
Since one yard is equivalent to three feet, you can multiply the number of yards by 3 to convert from yards to feet. 36 feet are equal to 12 yards times 3 feet per yard. Consequently, 12 yards are equal to 36 feet.
What does the term "yard" mean?A unit of length equivalent to 3 feet, or around 0.914 metres.
Both the US Customary and British Imperial Systems of Measurement use yards as a measure of length. Yd is its symbol. The length of medium-sized objects is frequently measured using it.
What is an illustration of one yard?About half the length of a bed is a yard. wider than a huge refrigerator. the elevation of a countertop.
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The expression on the left side of an equation is shown below.
-6x+6-0
If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the
equation?
-6
1
-6x
- 6x+6
D: -6x +6
Step-by-step explanation: Told ya.............
Ed's goal is to jog no more than 8 miles this week. He jogged 4 3/4 miles on Monday and 3 3/8 miles on Wednesday.
Answer:
8.125
Step-by-step explanation:
He jogged over 8 miles so he needs to stop jogging he already completed his goal.
A manufacture has been selling 1300 television sets a week at $390 each. A market survey indicates that for each $25 rebate offered to a buyer, the number of sets sold will increase by 250 per week. a) Find the demand function p ( x ) , where x is the number of the television sets sold per week.
Answer:
P = - 0.1x+520
Step-by-step explanation:
Finding the demand function p ( x ) , where x is the number of the television sets sold per week.
each $25 rebate offered to the buyer, the number of sets sold will increase by 250 , hence slope = -25/250 = -1/10 Equation will be
P-390/x-1300 = -25/250
Cross multiplying
250(P-390) = -25(x-1300)
250p-97500 = -25x+32500
250p = -25x+32500+97500
250p = -25x + 130000
Divide both sides by 250
250p/250 = (25x + 130000)/250
P = - 0.1x+520
Hence, the demand function p(x) is
= - 0.1x+520
Andre and Elena are solving this system of equations: y=3x,
y=9x−30
Andre's first step is to write: 3x=9x−30
Elena’s first step is to create a new system: {3y=9xy=9x−30
Do you agree with either first step? If so which one and explain your reasoning
It should be noted that when Andre and Elena are solving this system of equations, the first step is correct but the others are wrong.
How to illustrate the information?It should be noted that an equation is used.to show the relationship between the expressions that are given.
It should be noted that Andre and Elena are solving this system of equations: y=3x, y=9x−30.
This will be equated to this:
3x = 9x - 30
Collect like terms
9x - 3x = 30
6x = 30
Divide
x = 30 / 6
x = 5
Note that y = 3x = 3 × 5 = 15
Therefore, it should be noted that when the value of y is 15 and only the first step is correct.
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16m^2+60m-54
Factor
the sum of 2 numbers is 21 the second number is six times the first
Answer:
[tex]\huge\boxed{\text{Numbers: 3, 18}}[/tex]
Step-by-step explanation:
We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.
We can create two equations:
[tex]a+b=21[/tex]
[tex]b=6a[/tex]
We can now substitute the value of b (6a) into the first equation.
[tex]a + (6a) = 21[/tex]
Combine like terms:
[tex]7a=21[/tex]
Divide both sides by 7:
[tex]a=3[/tex]
Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into [tex]b=6a[/tex].
[tex]b = 6 \cdot 3\\\\b = 18[/tex]
So our numbers are 3 and 18.
Hope this helped!
Step-by-step explanation:
We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.
We can create two equations:
a+b=21a+b=21
b=6ab=6a
We can now substitute the value of b (6a) into the first equation.
a + (6a) = 21a+(6a)=21
Combine like terms:
7a=217a=21
Divide both sides by 7:
a=3a=3
Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into b=6ab=6a .
b=6⋅3
b=18
So our numbers are 3 and 18.
Hope this helped!
(4, 3); 4x − 5y = 30
HeLp
Using exponents, what is the simplified form of 15x6/3x2
F. 5x"
G. 5x3
H. 5x
I. 5
Answer:
[tex] \frac{15 {x}^{6}}{3 {x}^{2} } = 5 {x}^{4} [/tex]
Solve the equation.
512^x= 8
O {3}
O {1/3}
O {-1/3}
O {-3}
Answer:
it's the 2nd one
Step-by-step explanation:
its 1/3
y=3/4x -1 find the slope and the y intercept PLEASE ALOT OF POINTS
Answer:
slope 3/4
y intercept -1
Step-by-step explanation:
y=mx+b
m=slope
b=y intercept
Answer:
Slope-3/4
Intercept-(0,-1)
Step-by-step explanation:
plz help plzzz WILL GIVE BRAINLEST
Answer:
1.2876 is the answer I got.
A shoe store provides women’s shoes for sizes 5 to 11. Write a compound inequlity for shoes sizes they do not
provide for.
Answer: x<5 or x>11
Step-by-step explanation:
12 coaches and 30 player how many groups can be forms
Answer:
The biggest number of groups that can be formed is 6, because six is the greatest common factor of 12 and 42. There will be 2 coaches in each group because 6 x 2 = 12 and 7 players in each group because 7 x 6 = 42.
Step-by-step explanation:
hope that helped
Evaluate the expression when x=4 and y=1: 5y
Answer:
5
Step-by-step explanation:
5(1) = 5
Answer:
5
Step-by-step explanation:
There is no x so we only replace y with 1
5(1)=5*1=5p
3x^2+x-6
Can you factor this?
Answer (it stays the same):
[tex]3x^{2} + x - 6[/tex]
I hope this helps!
If f(x)=6x2-4, what is f(1)?
Answer:
f−1(x)=√6(x+4)6,−√6(x+4)6
Plz let me know if im wrong!!!
Answer:
are u sure this is written correctly?
All of the following expressions are equivalent to 12w + 6, except:
(3 + 6 w)2
6(1 + 2 w)
-1(-12 w - 6)
-1(12 w - 6)
Answer:
Except for -1 (12w - 6).
g The probability of rolling a single die and obtaining a two is one-sixth. The probability of rolling a single die and obtaining a five is one-sixth. What is the probability of rolling a single die and obtaining either a two or a five
Answer:
33.33% or [tex]\frac{2}{6}[/tex]
Step-by-step explanation:
A single die has a total of six different possible outcomes (1, 2, 3, 4, 5, 6). Since the numbers two and five are only two of the six possible outcomes that means that the possibility of getting one of these two numbers on a single roll is [tex]\frac{2}{6}[/tex] . If we divide this fraction and multiply the result by 100 (0.333 * 100 = 33.33) we see that there is a 33.33% chance of you rolling either a two or a five.