Answer:
0.699733
Step-by-step explanation:
Given that :
Mean (m) = 8
Standard deviation (s) = 0.3
Probability that pH is between 7. 5 and 8.2
Probability of pH < 7.5
P(x < 7.5)
The standardized score (Z) :
Z = (x - m) / s
Z = (7.5 - 8) / 0.3 = - 1.6667
p(Z < - 1.6667) = 0.047787 ( Z probability calculator)
Probability of pH < 8.2
P(x < 8.2)
The standardized score (Z) :
Z = (x - m) / s
Z = (8.2 - 8) / 0.3 = 0.6667
p(Z < 0.6667) = 0.74752 ( Z probability calculator)
Hence,
p(Z < 0.6667) - p(Z < - 1.6667)
0.74752 - 0.047787 = 0.699733
Graphically, a point is a solution to a system of two inequalities if and only if the point
A. lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
B. lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
C. lies in the shaded regions of both the top and bottom inequalities.
does not lie in the shaded region of the top or bottom inequalities.
A Galapagos tortise can walk 1/5 mile in an hour. How many hours would it take for the tortise to walk 1/6 mile?
Answer:
0.834 hours
Given that,
A Galapagos tortoise can walk 1/5 mile in an hour.
We need to find time would it take the tortoise to walk 1/6 mile.
1/5 mile = 1 hour
1 mile = 1/1/5 = 5 hours
For 1/6 mile = 1/6 *5 = 0.834 hours
It will take 0.834 hours to walk 1/6 mile.
Brandon buys a radio for $48.17 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary, round to the nearest cent
Answer:
49.0809
Step-by-step explanation:
Round it up to 49.10
Each of the equal sides of an isosceles triangle is 5 times the third side. The perimeter of the triangle is 121 inches. Find the sides of the triangle.
Answer: The small side is 11, and the other two are 55, 55,
Step-by-step explanation:
So the perimeter adds up to 121 inches.
we know that two of the sides are 5x the 3rd side while being congruent.
11 times 5=55. 55 times 2=110. 110+11=121
Answer:
The third side is 11 inches
the 2 equal sides are 55 inches each side.
Step-by-step explanation:
X + 2(5x) = 121
x + 10x = 121
11x = 121
x = 121/11
x = 11
Need this ASAP thanks
Answer:
A. Substitution
Step-by-step explanation:
You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are
Which graph does NOT represent a function?
Answer:
graph b
Step-by-step explanation:
it's b because it doesn't have any features like a function it's just a round shape that makes it a none function
1. The price of a TV is $295. The price of a
projector is 4 times as much as the price of a
TV. What is the price of the projector?
Answer:
The price of the projector is $1,180.
Step-by-step explanation:
295 × 4 = 1,180
Evaluate (11 + 4) ÷ 3 x √64 =
Answer:
40
Step-by-step explanation:
(11 + 4) / 3 x [tex]\sqrt{64[/tex]
(15)/3 x 8
5 x 8
40
The graph of function f has two vertical asymptotes and a horizontal asymptote at y = 2. Which function could be function f?
Answer:
It's f(x)=2x^2/x^2+2x-3.
Step-by-step explanation:
The function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have functions shown in the options:
After drawing the functions on the coordinate plane we will see,
[tex]\rm f(x) = \dfrac{2x^{2}}{x^{2}+2x-3}[/tex]
x = -3 and x = 1
Horizontal asymptote: y = 2
Thus, the function second has the two vertical asymptotes x = -3 and x = 1 and Horizontal asymptote: y = 2 option (B) is correct.
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As part of a communit service project at your house score you’re organizing a fundraiser at the neighborhood movie theater money raised will benefit of summer camp for children with special needs the missions charge is $10 per person 550 of which is used to pay the movie theaters rental fee the reminder is donated to the summer camp fund is the maximum capacity of the movie theater is 500 people what is the maximum amount that can be donated right in equation that shows how much money will be donated and then solve
The maximum amount to donate to the summer camp fund is $2,250.
2. The equation that shows the maximum amount to donate is y = 4.5x.
What is an equation?An equation is a mathematical statement that two values are equal.
Using an equation, two mathematical expressions are stated to have equivalent values.
Equations are expressed using the equation symbol (=).
Data and Calculations:The expected number of theater goers = 500 persons
Admission charge per person = $10
Movie Theater's rental fee = $5.50
Ticket fee = $4.50 ($10 - $5.50)
Let y be the maximum amount to donate to the summer camp fund
Let x be = 500
y = (10 - 5.50)x
y = 4.5x
The required equation for the maximum amount to donate is y = 4.5x
y = 4.5 x 500
y = 2,250
Thus, the maximum amount to donate to the summer camp fund is $2,250.
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Complete Question:As part of a community service project at your house score, you are organizing a fund-raiser at the neighborhood movie theater. Money raised will benefit a summer camp for children with special needs. The admission charge is $10.00 per person, $5.50 of which is used to pay the movie theater’s rental fee. The remainder is donated to the summer camp fund.
What is the maximum amount that can be donated? Write an equation that shows how much money will be donated and then solve it.
A first number plus twice a second number is 3. Twice the first number plus the second totals 21 . Find the numbers.
Answer:
x = 13
y = -5
Step-by-step explanation:
Let x = the first number
Let y = the second number
x + 2y = 3 2x + y = 21
You have two unknowns, so you need to equations to solve.
Solve the first equation for x:
x + 2y = 3
x = -2y + 3 Substitute this in for x in the second equation.
2x + y = 21
2(-2y + 3) + y = 21 Distribute the 2
-4y + 6 +y = 21 combine the y's
-3y = 15 Divide both sides by -3
y = -5
Plug -5 back in for either equation
x + 2y = 3
x + 2(-5) = 3
x -10 =3
x = 13
A sofa is on sale for $833, which is 15% less than the regular price.
What is the regular price?
At what point did they give up and decide that the numbers to the right of the decimals would never repeat and never stop?
Solve for x. Round your answer to the nearest tenth.
A line passes through the point (8,3) and has a slope of -3/4. Write an equation in slope intercept form for this line.
Answer:
y = -3/4 + 9
Step-by-step explanation:
y=mx+b
3 = -3/4(8) + b
3 = -6 + b
9 = b
y = -3/4 + 9
Denzel identified (3,2) as a point on til
y-2=2/3(x+3). What is the error that Denzel
made?
Type Here.
Answer:
im srry
Step-by-step explanation:
How many cm in 12.7 inch
Paloma has a flower stand at a farmer’s market. On Tuesday, she sold 8 marigold flats and 10 daisy flats.
An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 13 of the price.
Evaluate a numerical expression to find out how much money Paloma made. Enter your answer in the box.
The total money Paloma made = $117.25
In this question,
The price of Marigold(M) is $5.75.
The price of Daisy(D) is $6.25.
The price of Roses(R) is $2.50.
The price of Lilies(L) is $3.75
She sold 8 marigold flats and 10 daisy flats. An hour before closing, she sold 5 bunches of roses at half price and 2 bunches of lilies for 1/3 of the price.
Let s be the total money Paloma made
so we get an expression,
S = 8M + 10D + 5(R/2) + 2(L/3)
Now substitute the respective value
S = 8(5.75) + 10(6.25) + 5(2.5/2) + 2(3.75/3)
S = 46 + 62.5 + 6.25 + 2.5
S = $117.25
Therefore, the total money Paloma made = $117.25
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there? 65
11. A shark chases 244 fish, and eats 3/4 of them - how many does it eat?
168 is the answer of this question
Answer:
168 is the answer ...... .. .........., . . .. ... . . . .. ..
A bakery sold a total of 120 cupcakes in a day, and 66 of them were mocha flavored.
What percentage of cupcakes sold that day were mocha flavored?
Answer:
55%
Step-by-step explanation:
55% of the cupcakes were mocha flavored.
whay is the slope of a perpendicular to the line whose equation is 3x+y=-6
Answer:
1/3
Step-by-step explanation:
3x + y = -6
y = -3x - 6
The slopes of two perpendicular lines are negative reciprocals of each other
so negative reciprocal of -3 is 1/3
[tex] \large{ \boxed{ \tt{Answer : - 3}}}[/tex]
Please see the attached picture for full solution!
-------- HappY LearninG <3 --------
Compute the sum of all nine 2-digit numbers with a ones digit of 6.
Sum of all nine number = 438
Step-by-step explanation:
Given :
2 Digit Number whose ones place is 6.
Solution :
Nine numbers are - 16,26,36,46,56,66,76,86,96
Sum of all nine number = 16+26+36+46+56+76+86+96 = 438
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6/15 plus 3/10 plus 3/5
Answer:
1.3
Step-by-step explanation:
The question is in the image.
Answer:
a) aₙ = 6(n - 1), a₂₄ = 138b) aₙ = 2n + 1, a₂₄ = 49===============================
Sequence a)Ignoring the hexagon in the middle, we'll count the number of squares:
0, 6, 12, ...This is an AP with the first term of a₁ = 0 and common difference of d = 6.
Explicit formula for an AP is:
aₙ = a₁ + (n - 1)dSubstitute the first term a₁ and common difference d into equation:
aₙ = 0 + (n - 1)*6aₙ = 6(n - 1)The 24th term is:
a₂₄ = 6(24 - 1) = 6(23) = 138Sequence b)Count the number of circles:
3, 5, 7, ...This is an AP with the first term of a₁ = 3 and common difference of d = 2.
The explicit formula for this AP is:
aₙ = 3 + (n - 1)*2aₙ = 3 + 2n - 2aₙ = 2n + 1The 24th term is:
a₂₄ = 2*24 + 1 = 49pls help me with this i need help with this
The measure of the missing angle is 118 degrees
What are quadrilateral?Quadrilateral are figures that have sides and angles
For two parallelograms to be equal, the ratio of the sides must be equal to a constant
Also, all the measure of the angles must be equal. From the given parallelogram, the measure of the angles must be equal that is;
x = 118 degrees
Hence the measure of the missing angle is 118 degrees
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Answer:
118degrees
Step-by-step explanation:
x+y=8
2x-y=16
3x+z=18
Answer:
x+y-8=0
Step-by-step explanation:
It makes the most sense
PLEASE HELP THANK YOU SO MUCH!
Answer:
Triangle FHL
Step-by-step explanation:
Frosty rolled around the track for laps in 10 minutes
A.how many minutes per lap is that be
B.how many laps per minute is that
C.if Frosty holds 40 laps at the same rate how long take does it take him
Answer:
In bold below.
Step-by-step explanation:
A . 10/4 = 2.5 minutes per lap.
B. Laps per minute = 1 / 2.5 = 0.4 laps per minute.
C. Time taken for 40 laps = 40 / 0.4 = 100 minutes.
39-[20/4+2(3+6]
And how do i do it?
A computer has the shape of a rectangular solid. Find the volume of the computer, with
dimensions of 5 inches by 5 inches by 5.1 inches.
Answer:
V = 127.5in^3
Step-by-step explanation:
The volume of a rectangular prism is:
Volume = length x width x height
Therefore, in this equation it would look like this:
Volume = (5) x (5) x (5.1)
Volume = 127.5in^3
The volume of the computer is 127.5in^3.
I hope this helps!!
- Kay :)