The value of the unknown should be set at 5 so that 98 of 6- oz. mugs won't overflow is A)5.18.
Given data
A soft- drink machine can be regulated so that it discharges an normal of? oz. per mug. The ounces of filler are typically distributed with a standard divagation of0.4 oz.
What value should be set at so that 98 of 6- oz. mugs won't overflow?
Let μ be the mean ounces of filler per mug.
μ can be attained by using the formula
μ = 6 oz. = 6/8 = 0.75 mugs.
Now, given σ = 0.4 oz.
The Z- score for a 6- oz mug can be calculated as follows
z = ( x- μ)/ σ
Then, x = 6 oz = 6/8 = 0.75 mugs.
μ = 0.75 mugs
σ = 0.4 oz.
z = (0.75-0.75)/0.4 = 0
For 98 of 6- oz mugs to not overflow, we need to find the value of μ similar that P( z Since the Normal distribution is symmetric about the mean, we have
P( 0< z We can look up the value of
z_score for P( 0< z
standard normal distribution table or use the inverse function on a calculator similar as Excel.
Using a table, we get the value ofz_score = 2.33.
Now, z = ( x- μ)/ σ2.33 = (0.75- μ)/0.4
μ = 0.75-0.4 ×2.33
μ = 0.75-0.932
μ = -0.182 oz.6 oz in terms of ounces = 6 *0.125 = 0.75 oz.
oz per mug in terms of ounces = ? *0.125 oz.
Using the values from above
μ = -0.1820.75 = 0.568 oz. ≈0.57 oz.
= 0.57/0.125 = 4.56 or 5
So, the value of the unknown should be set at 5 so that 98 of 6- oz. mugs won't overflow is A)5.18.
Learn more about z-score here:
https://brainly.com/question/31871890
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1/3x+y=4 solve the equation for y.
Answer:
y=4-x/3
Step-by-step explanation:
(1/3)x + y = 4
Subtract (1/3)x from both sides of the equation
(1/3)x - (1/3)x + y = 4 - (1/3)x
y = 4 - (1/3)x
closes integers to this question
Answer:
=
Step-by-step explanation:
A packet of sweets costs $2.25.
Felipe and his brother share the cost in the ratio 5:4.
How much does Felipe pay?
The graph of a function is shown below. Which ordered pair best represents the location of the y intercept
6 years ago Rosa had $2,000 in the bank. She now has $4,500. The amount of money at the end of each year increases exponentially. How many more years (to the nearest year) will pass before Rosa has $20,000 in the bank? (Assume that she doesn't deposit or withdraw any money.)
a. 7 years
b. 11 years
c. 17years
d. 39 years
9514 1404 393
Answer:
b. 11 years
Step-by-step explanation:
Since we're interested in the time going forward, we can write the expnential function for Rosa's balance as ...
y = 4500(4500/2000)^(x/6)
where x is the number of years from now, and y is the balance at that time.
20,000 = 4,500(2.25^(x/6))
Dividing by 4500, we get ...
40/9 = 2.25^(x/6)
log(40/9) = (x/6)log(2.25) . . . . take logs
x = 6·log(40/9)/log(2.25) ≈ 11.037 . . . . divide by the coefficient of x
It will take 11 more years for Rosa to have $20,000 in the bank.
_____
Comment on the exponential function
You can generally write an exponential function for a question of this sort pretty easily. The form of it is ...
f(t) = (initial value)×(growth factor)^(t/(growth period))
Here, we're given a growth factor of 4500/2000 = 2.25 corresponding to a period of 6 years. This tells us t is in years, and the exponential term will be ...
2.25^(t/6)
The "initial value" we choose corresponds to t=0. Since we want 'years from now', the "initial value" will be the value in the account now, 4500.
Answer:
B 11 years
Step-by-step explanation:
A seamstress used 4 meters of ribbon to make 20 bows. She used __ of a meter for each bow.
Answer:
1/5
Step-by-step explanation:
To find how much of a meter she used per bow, divide 4 by 20, since she used 4 meters for 20 bows:
4/20
= 0.2 or 1/5
So, she used 1/5 of a meter for each bow
Part C
The next month, Tamiko develops a budget for her income. One-fourth of her
income is budgeted for car insurance, of her income is budgeted for
gasoline, of her income is budgeted for savings, and the remainder is
budgeted for spending money. She earns $234.80 for working at the fast food
restaurant, $64 for baby sitting, and $20 in allowance. How much of her total
monthly income can she spend, according to her budget?
Answer:
Step-by-step explanation:
Total amount earned by Tamiko = $234.80+$64+$20
Total amount earned by Tamiko = $318.80
If she spend One-fourth of her income on car insurance,amount she budgeted for car insurance = 1/4×$318.80 = $79.7
Let assume one third of her income is budgeted on gasoline, the amount budgeted for gasoline = 1/3× $318.80 = $106.27
Also let assume one-fifth is budgeted on savings, amount spent on savings = 1/5×$318.80 = $63.76
If the rest is on spending, fraction if the rest will be 1-(1/4+1/3+1/5)
= 1-(15+20+12)/60
= 1-47/60
= 13/60
This means that she can spend 13/60 of her total budget according to her spending.
Note that the fraction budgeted on savings and gasoline are assumed. You can use any other fraction and use the same method in the calculation to get the required fraction she spent.
How do you evaluate and interpret algebraic expressions? To evaluate an algebraic expression, substitute the value(s) of the (select) into the expression and simplify using the order of operations. To interpret an algebraic expression, identify the (select) of each (select) .
Answer:
see explanation
Step-by-step explanation:
When you have an algebraic expression and you are required to evaluate the algebraic expression, all you need to do is to substitute the give values of each variable into the expression.
For instance, if you intend to evaluate 2x + 2 where x=2, all you need to do is to substitute 2 or x. That is 2(2) + 2=4
However, to interpret an algebraic expression, all you need to do is to identify all the terms and variables in the expression.
Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y = - 1/3x +4
Answer:
1/13x + 35/13
Step-by-step explanation:
Given f(x) = -3x + 4, find f(-6).
Answer:
f(-6) = 22
Step-by-step explanation:
[tex]f(x)=-3x+4\\\\f(-6)=-3(-6)+4\\\\f(-6)=18+4\\\\\boxed{f(-6)=22}[/tex]
Hope this helps.
Pedro and Eva do their homework.
Pedro takes 84 minutes to do his homework.
The ratio Pedro's time : Eva's time = 7:6.
Work out the number of minutes Eva takes to do her homework.
Answer: 72 minutes
Step-by-step explanation: 84/7=12. 12x6=72.
Solve for x. 1+|2+x|=9
Answer:
x= −10,6
Step-by-step explanation:
Subtract 1 from both sides.
|2+x|=9-1
Simplify 9−1 to 8.
∣2+x∣=8
Break down the problem into these 2 equations.
2+x=8
-(2+x)=8
Solve the 1st equation: 2+x=8
x=6
Solve the 2nd equation: -(2+x)=8
x= -10x
x= −10,6
what is 6.3 x 10 to the negative eighth power in standard form
Answer:
6.3e-8
Step-by-step explanation:
plz help!! i dont know what steps to take. will be giving brainliest if u give me a step by step explanation and an answer!
Answer:
RS = 17
Step-by-step explanation:
(23-2x) + (9x-5) = 39
23-2x+9x-5 = 39
7x + 18 = 39
7x = 21
x = 3
Given: RS = 23-2x
23 - 2(3)
23 - 6 = 17
Estimate and calculate each product
a. 625 x 34 b. 1014 x 59
Answer:
a. 21,250
b. 59,826
Step-by-step explanation:
hope this helps :)
Which statement describes the graph
A. The graph crosses the y-axis at (0,7). Increasing from x = -10 to
x = -2 and decreasing from x = -2 to x = 10.
B. The graph crosses the y-axis at -8,0), increasing from * = -10 to
x = -2 and decreasing from x = -2 to x = 10
C. The graph crosses the y-axis at (0,7), increasing from x = -10 to
x = -2 and remaining constant from x = -2 to x = 10.
D. The graph crosses the y-axis at (0,7), increasing from x= -10 to
X = 0 and decreasing from x = 0 to x = 10
AAnswer:
Step-by-step explanation:
J
Alex’s printer can print 8 photos in 12 minutes.
Khalil’s printer can print 24 photos in 1 hour.
Which process could you use to help determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s?
**Select all that apply.**
A. Write an equation that adds the number of photos that each printer prints in 1 hour.
B. Make a table of equal ratios to find how long it takes each printer to print 120 photos and find the difference.
C. Subtract the number of photos that Khalil's printer prints in 2 hours from the number of photos that Alex's printer prints in 2 hours.
D. Graph a table of values for each printer and compare the number of minutes when the number of photos is 120.
Answer:
it is B and D that is the answer
Seven tenths of the new recruits did not like their first haircut. What
fraction of the new recruits did like their first haircut?
Answer:
Step-by-step explanation:
Ok
What is 1x1= what does that equal
Answer:
hm 2
Step-by-step explanation:
Answer:
the answer is 1 I'm pretty sure lol
The height in feet, h, of a model rocket t seconds after launch is given by the equation h (t) = 3 + 70 t minus 16 t squared. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the model equation:
h (t) = 3 + 70t - 16t²
h = height in feet
t = time in seconds
Average rate of change in h(t) between
t= 1 second and t = 3 second
At t = 1 second
h(1) = 3 + 70(1) - 16(1)^2 = 57
At t = 3 second
h(3) = 3 + 70(3) - 16(3)^2 = 69
Average rate of change = Δh / Δt
Δh / ΔT = [h(3) - h(1)] / (3 - 1)
= (69 - 57) / 2
= 12 / 2
= 6
Hence, it is the mean or average change in height h as time, t changes
HELP PLEASEE!! I'M A DUMMY IN MATH
Answer:
h= -16t^2 + 30t + 4
Step-by-step explanation:
Simplify the expression as much as possible. 6(x+4)+3(x−2)
9(x + 2)
Step-by-step explanation:Hi !
6(x+4)+3(x−2) =
= 6x + 24 + 3x - 6
= 6x + 3x + 24 - 6
= 9x + 18
= 9(x + 2)
Good luck !
The image shown here shows a scale drawing of the average seventh grader's foot next to the world's largest foot.
If the average seventh grader's foot is approximately 10 inches long, estimate the length of the world's largest foot. Explain your thinking.
Answer:
If you are estimating....
Step-by-step explanation:
if the small foot is 10in then the bigger foot must be around 12-13inchs considering on how big it is to the little foot, so about 13 inches
Hi! Could anyone help with this? :)
2(b + 6) - 7 <= -3b - 30
Let's distribute the 2.
2b + 12 - 7 <= -3b - 30
Combine like terms.
2b + 5 <= -3b - 30
Subtract 2b from both sides and add 30 to both sides.
35 <= -5b
Divide both sides by -5.
-7 >= b
We had to flip the sign because we divided by a negative number.
This means that b <= -7. D is correct.
Will give brainliest
Answer:
Really?!?! Welp I'm here for it.
Step-by-step explanation:
2
9 points
#4. Juan has a total of $40 to spend on a party for his friends. He bought
some pizza and drinks for $25 and he also wants to get some bags of
candy for $3 each. Which Equation can be used to determine how many
bags of candy Juan can buy for the party? (click A, B, C or D at the
bottom) *
A. 25x + 40 = 3
B.
40x + 3 =25
C. 3x + 25 = 40
D.
25 + 40 + 3 = x
A
Answer:
Step-by-step explanation:
mnzxcvbnm·write 35% as a fraction in simplest form
Answer:
7/20
Step-by-step explanation:
Answer:
7/20
Step-by-step explanation:
A scale drawing for a restaurant is shown below.
In the drawing, 3 cm represents 4 m.
Assuming the dining hall is rectangular, find the area of the real dining hall.
Answer:
32 m^2
Step-by-step explanation:
First find the real dimensions of the dining hall
The scale factor is 4m /3 cm
6 cm * 4m / 3cm = 8 m
3 cm * 4m / 3cm = 4 m
The area of the dining hall is
A = l*w
A = 8m * 4m = 32 m^2
Can someone help me please
Answer:
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Step-by-step explanation:
Answer:
IJ = 15
Step-by-step explanation:
Since ∠ I ≅ ∠ H , then Δ HIJ is isosceles with sides JH and IJ congruent.
Thus IJ = JH = 15
Henry is an avid reader.He devours 90 pages in half-an-hour.How many pages has Henry read per minute?
Answer:
3 pages per minute
Step-by-step explanation:
Half an hour is eqquivalent to 30 minutes, so we do 90 (pages) / 30 (minutes) = 3--> Wich means that Henry can read 3 pages per minute.
Answer:
Henry reads 3 per minute
Step-by-step explanation:
There is 30 mins in half an hour
so divide 90/30
and you get 3
