Answer:
10 months
Step-by-step explanation:
Simplify the linear expression
-5/8a+2/3-1/4a-5/6
Enter your answer as simplified fractions in the boxes.
Answer:
[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]
Step-by-step explanation:
This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.
A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.
Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.
Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.
You may round your answer to two decimal places.
P(T<575)\approx
Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.In this problem, the product is composed by flakes and raisins, and we have that:
[tex]\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7[/tex]
Hence, the distribution for the total amount of product has mean and standard deviation given by:
[tex]\mu = \mu_F + \mu_R = 370 + 170 = 540[/tex]
[tex]\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25[/tex]
The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{575 - 540}{25}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192.
0.9192 = 91.92% probability that the total amount of product is less than 575 g.
A similar problem is given at https://brainly.com/question/22934264
Need help please
Will give Brainliest
Answer:
Step-by-step explanation:
1) Inequality Form: a < 2.9 Interval Notation: ( 2.9 )
2) graph
same as 3, 4, 5
6) Inequality Form: 2 < y < 5 Interval Notation: ( 2 , 5 )
7)
a) 110+92=202+x=c
b) 110+92=202
202+98=300
Miguel, Christian, Amber, Sophia, and Kadin eat dinner together at Texas Roadhouse. The total bill is $53.25. They decide they want to split the bill evenly. How much should each person pay?
ill give brainliest plz help
Answer:
10.65
Step-by-step explanation:
just divide 5 [because there are five people] with $53.25 [the amount of money]
then the answer will be 10.25
thank you
hope it was helpful
OMG HELP RN
On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h
Answer:
C would be the answer
Hope this helps!
Which expression is equivalent to 125 in expressional form
FAST PLS
Start by prime factorising 125.
125 = 5 × 5 × 5
If you check the given options, the correct answer is :-
5³ (3rd option)
Verification:-
5³ = 5 × 5 × 5 = 125
Note :-
The 2nd option also gives 125, but they've asked for the answer in exponential form, so the 3rd option is the correct one.
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
help me please i really need it I need solution.
Answer:
Step-by-step explanation:
1. To figure this out, you need to first convert the percentage to a decimal. To do this, you move the decimal two places back. 75.0% -> 0.75
40 * 0.75 = 30 students are present, because 75% of 40 is 30
40 - 30 = 10 students are absent, because 30 students are present.
2. To figure this out, you must do the same thing you did for number 1 above. It would look like this: 80% -> .80
250 * 0.8 = 200 euros - not sure if that's what it is but that is what I'm going with - is what she spent, because 80% of 250 is 200
250 - 200 = 50 is what she saved.
Add 10% of 300 to 50% of 20
Answer:
40
Step-by-step explanation:
10% of 300 = 300/10 = 30
50% of 20 = 20/2 = 10
30+10=40
What is a common denominator for 1 3/4 and 1 4/5
Answer:
20
Step-by-step explanation:
A common denominator is a number that is a multiple of both denominators.
To find it just write the multiplication table of the numbers and find a number that appears in both of them.
In this case, we have 4 and 5:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.
[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]
should I buy a new gold ring today
Answer: go for it!
Step-by-step explanation:
A 5 ounce container of greek yogurt contains 140 calories . Find the unit rate of calories per ounce
Pythagorean theorem
How do you visualize it and and solve it drawn out
Answer:
so using the Pythagorean theorem is simple. what you want o do for this question is to make a graph to visualize it. since the top of the ladder is 7 feet up the house, you would go up 7 points, and its 2 1/2 feet from the house, you would move out 2 1/2 points. The ladders length is the hypotenuse, or the longer side that you get when you connect those two points.
Step-by-step explanation:
answer this question fast
Answer:
corona virus sjuwiwiwoe
Step-by-step explanation:
iaisowowow
What is two divided by one thousand two hundred and twenty eight
Answer 1/614
Step-by-step explanation:
geomtry plzzz help 15 points
Answer:
19
Step-by-step explanation:
they give you xz, and they want half, so just divide 38 by 2
Select the best description for the slope of Line a.
Positive Slope
Negative Slope
Zero Slope
Undefined Slope
Find the following limit without using a graphing calculator or making a table.
Answer:
Step-by-step explanation:
Apply the distribute property, substitute the given numerical value given:
9(-3r -11), r=10
Answer:
-369
Step-by-step explanation:
Replace r with 10.
9(-3(10)-10))
9(-30-11)
9*-30+9*-11
-270+ -99
-369
Hope this helped. :)
Let event A be defined as a randomly selected vehicle being silver or black. Let event B be defined as a randomly selected vehicle being a car or a truck. Find P(NOT B | A).
Answer:
i think its c in my opionion not sure tho
Answer:
D. 13/36
Step-by-step explanation:
Which job paid better 30 minutes for $10.00, 3.5 hours for $30.00, 2 hours for $30.00
Answer:
30 minutes for $10.00
Step-by-step explanation:
30min=$10
60min=$20
90min=$30
210min(3.5 hours)=$30
120min(2hours)=$30
what as 9 squared? i need this
The sum of 4 consecutive integers is (-28).
Write an equation with these integers equaling (-28).
Answer:
Step-by-step explanation:
Let the lowest integer be x, then:
x + x + 1 + x + 2 + x + 3 = -28.
WILL GIVE BRAINLEST! HELP ME ASAP
These tables of ordered pairs represent some points on the graphs of lines s and t.
Which system of equations is represented by lines s and t?
5x−2y=−157x+4y=20
3x+5y=−185x−9y=25
x+4y=−89x−y=21
2x−y=−142x+y=6
Answer:
Step-by-step explanation:
Line s
slope m = Δy / Δx = (22 - 4) / (4 - (-5)) = 18/9 = 2
y = mx + b
22 = 2(4) + b
b = 14
y = 2x + 14
which can be rearranged to
2x - y = -14
Line t
slope = ( -4 - 14) / (5 - (-4)) = -18/9 = -2
-4 = (-2)(5) + b
b = 6
y = -2x + 6
2x + y = 6
2x − y = −14 2x + y = 6
Help me with this pls
Answer:
Step-by-step explanation:
plz help with this!!!
Answer:50
Step-by-step explanation:
What property is -5(-9x^2+8)+20=10x^2-15
Answer:
distributive?
Step-by-step explanation:
-5(-9x^2+8)+20=10x^2-15
simplify both sides
45x^2-20=10x^2-15
35x^2=5
x^2=1/7
x=1/sqrt(7)
distributive?
(PHOTO) Please help need this done by tomorrow thank you.
Answer:
x = 8
Step-by-step explanation:
These are corresponding angles, and they are equal to one another.
[tex]7x+3=3x+35\\4x+3=35\\4x=32\\x=8[/tex]
help plz LCM/GCF plz help with 2, 4, and 5 show your work for brainliest
THIS IS WORTH 100 POINTS!!!
Answer:
2. 60
4. 6
5. 3
Step-by-step explanation:
These questions are all asking for the GCF, which is the greatest common factor, or the largest number that can be divided into all of the numbers.
ex. for 2, the question is basically asking for the GCF between 12 and 15
we see that 12 = 3x4, 15 = 3x5, so from here we see that 3 is the GCF.
Find the area of the figure. (Sides meet at right angles.)
4 m
Бm
4 m
10 m
8 m
Solve for x, please help, thank you
Answer:x=6
Step-by-step explanation:
x+5x=36
Step 1: Simplify both sides of the equation.
x+5x=36
(x+5x)=36(Combine Like Terms)
6x=36
6x=36
Step 2: Divide both sides by 6.
[tex]\frac{6x}{6} =\frac{36}{6}[/tex]
x=6
Answer:
x=6