Answer:
2,48,000
Step-by-step explanation:
Initial population of bacteria = 15,500Bacteria doubles after every 234 hoursSo, after 0 (zero) hours, no of bacteria = 15,500After 234 hours, no. of bacteria = 2(15,500) = 31,000After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.50mm. Would this outcome warrant a refund (meaning that it would be unusual)?
The probability is that a randomly selected tire that has a depth less than 0.50 mm will be 0.085121.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm.
Then the probability is that a randomly selected tire has a depth less than 0.50 mm will be
The value of the z-score will be
z = (0.50 - 0.98) / 0.35
z = -1.3714
Then the probability will be
P(x < 0.50) = P(z < -1.3714)
P(x < 0.50) = 0.085121
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Select the correct answer.
A machine uses pieces of tape to seal packages. It cuts the tape Into pieces exactly 2.375 Inches long. If It uses 4 pieces of tape for a package,
how many packages can it seal with a roll of tape 1,900 Inches long?
OA
200 packages
OB. 400 packages
OC 600 packages
OD.
800 packages
Answer:
A. 200 packages
Step-by-step explanation:
The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.
__
For each package:
(2.375 in/piece)×(4 piece/package) = 9.5 in/package
Per roll:
(1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll
= 200 packages/roll
The machine can seal 200 packages with a roll of tape 1900 inches long.
DUBLE POINTS BECAUSE OF SEMESTER TESTING
Jacques plays a game that involves drawing cards to move around the board. He uses a uniform probability model to determine the probability that he will win on his next turn. There are 8 blue cards, 8 green cards, 8 red cards, 8 yellow cards, and 8 orange cards. Jacques needs either a blue or an orange card to win on his next turn.
What is P(blue or orange)?
1/20
1/4
3/10
2/5
total no of cards = 40
p(blue) = 8 out of 40
p(orange) = 8 out of 40
p(blue or orange ) = 16 out of 40
16÷40 = 2/5.
Determine the period
The cylinder shown has a volume of 30 cubic units. The
cone and the cylinder have the same height and the same
base. What is the volume of the cone?
S.
Cylinder. V = Th
Cone: V = : 1 / ²
Please help no links or you will get reported
The volume of the cone will be 10 cubic units.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or cuboid.
Given that:-
The cylinder shown has a volume of 30 cubic units.The cone and the cylinder have the same height and the same base.The volume of the cone will be:-
Vc = Vcyl
[tex]\dfrac{1}{3} \pi r^2h\ \ \ =\ \ \pi r^2h[/tex]
Vc = (1 / 3) Vcyl
Vc = ( 1 / 3 ) x 30
Vc = 10 cubic units
Therefore the volume of the cone will be 10 cubic units.
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y=5x-3 input and output
Answer:
y out put x input and 3 is input and as 5 . tell me if you get it right
• footballs – There are 8 footballs.
• basketballs – Two more than twice the number of footballs are
basketballs.
• baseballs – Four less than 5 times the number of footballs are
baseballs.
• softballs – Six more than half of the baseballs are softballs
Type of Ball
Numerical Expression for the Number of Balls
Total Number of
Each Type of Ball
football (given) 8
basketball
baseball
softball
Mainly need the last part (Numerical Expression for the Number of Balls)
Answer:
8 futballs
basketballs 18
beisballs 36
softballs 24
Step-by-step explanation:
dos mas del doble (2) de balones de fut = 8x2 = 16, 16+2 = 18
cuatro menos de 5 veces las pelotas de fut = 8x5 = 40, 40-4 = 36
seis mas de la mitad de beis = 36/2 = 18, 18+6 = 24
LISTO
How can you find out the similarities and differences in a non-fiction text?
A. look at how the characters speak
B. look at how the subject or events are portrayed
C. look at the genre
The similarities and differences in a non-fiction text look at how the subject or events are portrayed.
What is a non-fiction text?Comparing non-fiction texts can focus on the similarities between the texts - things they have in common. You can also contrast texts and focus on their differences - things that set the texts apart from each other. You could compare and contrast the following:
Form – What types of text (letter, news report, etc) are they?
Purpose – What job (persuading, informing, advertising) is each text doing?
Audience – Who is the intended reader of the text?
Subject matter – What are the texts about?
Language choices – What kinds of words, images or rhetorical devices are being used?
Structure – How is the text ordered?
Tone – What is the overall tone or mood of the writing?
Non-fiction texts are all around us, and comparing them can help you become more aware of how language is being used in society. Comparing non-fiction texts can often prompt you to notice things that you might not have considered about a text in isolation.
Hence the similarities and differences in a non-fiction text look at how the subject or events are portrayed.
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In which quadrants is tangent positive?
A. II and IV
OB. I and III
OC. I and II
OD. I and IV
The quadrants in which the tangent is positive are I and III.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Tangent is defined as the ratio of the opposite side to the adjacent side of a right triangle.
It is positive when the opposite side and the adjacent side are both positive or both negative.
In the first quadrant (I), both the opposite and adjacent sides are positive, so the tangent is positive.
In the second quadrant (II), the opposite side is positive and the adjacent side is negative, so the tangent is negative.
In the third quadrant (III), both the opposite and adjacent sides are negative, so the tangent is positive.
In the fourth quadrant (IV), the opposite side is negative and the adjacent side is positive, so the tangent is negative.
Therefore,
The quadrants in which the tangent is positive are I and III.
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Out of 36 students in history class, three-fourths have signed up a trip to Europe? If there are 28 places available, will there be enough room?
Help with functions!! Thanks!
Answer:
-2
2
Step-by-step explanation:
just use common sense. what does "local maximum" mean ?
it means a point, where the curve in the nearest neighborhood does not have a higher value. where the curve comes from smaller values, turns around and leaves with smaller values again.
(a) there is one point in this graph : at x = -2
(b) and that maximum value at that point is y = 2
On a place-value chart, you use exactly 12 counters to represent one decimal number and exactly 15 counters to represent another decimal number.
When you add the two numbers, you get a number you can represent with only 9 counters.
When you subtract the two numbers, you need more than 9 counters for the result.
• What could your numbers be For adding it be
• Explain how you came up with your numbers and why they work.
The possible number represented by the 9 counter is 27
How to determine the possible number?The counters are given as:
12 counters and 15 counters
When added, we get a number that can be represented by 9 counters.
This means that:
12 + 15 = 9x
Evaluate the sum
27 = 9x
Divide by 9
x = 3
When subtracted, you need more than 9 counters.
This means that:
x = 15 - 12 = 3
So, we conclude that the number is a multiple of 3 and 9
In other words, the decimal number is a multiple of 9 (i.e. 27)
Hence, the possible number is 27
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Which expression product is modeled by the tiles(2x+1)(x+1)
[tex](2x + 1)(x + 1)[/tex]
•Distribute
[tex](2x + 1)(x + )[/tex]
[tex]2x(x + 1) + 1( x + 1)[/tex]
•Distribute
[tex]2x(x + 1) + 1(x + 1)[/tex]
[tex]2x² + 2x1(x + 1)[/tex]
•Multiply
[tex]2x² + 2x + 1(x + 1)[/tex]
[tex]2x² + 2x + x + 1[/tex]
•Combine like terms
[tex]2x² + x + x + 1[/tex]
[tex]2x²+ 3x + 1[/tex]
Solution:
[tex]2x² + 3x + 1[/tex]
Explanation:
see the graph
Which is more effective, the Pythagorean Theorem or The Six Trigonometric
Ratios?
Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.
I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.
Hope this helps!
Which relation is a function?
Answer:
A function means that we get one input and one output. In this example that means for every x-value that we have, we only have one y-value.
Looking at the first option, we can see that there is no x-value that has more than one y-value which means that it is a function.
The rest of the options are seen with at least two values for one x-value in one of the points. Therefore, they wouldn't be considered a function leaving us with only option A as the solution.
Can someone please help me with this
Answer:
x=12
Step-by-step explanation:
Every triangle has interior degrees that all together add up to 180. We already know we have 50 degrees and 75 degrees, so we can subtract that to see how much we have left to work with. If we do that, we get 55 degrees left. Now, we have to set up a two step equation to find x:
5x-5=55
The first thing to do is to add 5 to both sides to get rid of -5:
5x-5=55
+5 +5
__ __
0 60
So now, it's 5x=60
Now, we have to isolate x. To do this, we have to divide both sides by 5. If you do this, you get:
x=12
Hope this helped!
Answer: b) x = 12
Step-by-step explanation:
The sum of a triangle's angles add up to 180°. We will add together all the angles, set them equal to 180°, and then solve.
Given:
(50°) + (75°) + (5x - 5°) = 180°
Combine similar terms:
120° + 5x = 180°
Subtract 120° from both sides of the equation:
5x = 60°
Divide both sides of the equation by 5:
x = 12
Your answer is;
b) x = 12
6. Find the height of a triangle with a
base of 4 cm and a hypotenuse of
11 cm. Round to the nearest tenth
of a centimetre. Show your work..
Answer:
Hope the picture will help you..............
What is 3/4 of two gallons
Answer:
1.5 gallons
Step-by-step explanation:
(3/4) × (2 gallons) = 1.5 gallons
HOPE THIS HELPS AND HAVE A NICE DAY <3
PLEASE HELP ASAP !
What is the solution to the inequality below?
|x| > 14
Case 1
x>14Case 2
-x>14x<-14Option A
It's impossible thing
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = negative 2 x squared + 4
Table A
a
b
c
up or down
y-intercept
-2
0
4
down
(0,-2)
Table B
a
b
c
up or down
y-intercept
4
0
-2
down
(0,4)
Table C
a
b
c
up or down
y-intercept
-4
0
-2
down
(0,-2)
Table D
a
b
c
up or down
y-intercept
-2
0
4
down
(0,4)
a.
Table A
c.
Table C
b.
Table B
d.
Table D
The table that correctly describes the given quadratic equation is table D.
Which table correctly describes the quadratic equation?A general quadratic equation is written as:
[tex]y = a*x^2 + b*x + c[/tex]
The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.
If a > 0, then it opens up.If a < 0, then it opens down.In this case, the quadratic equation is:
[tex]y = -2x^2 + 4[/tex]
Then we have:
a = -2b = 0c = 4.The y-intercept is (0, 4), and because a is negative, the parabola opens down.
Then the correct table is table D.
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A water park has pools, slides, and rides
that, in total, make use of 4.6 x 10^5
gallons of water. They plan to add a ride
that would make use of an additional
6.7 x 10^4 gallons of water. Use scientific
notation to express the total gallons of
water made use of in the park after the
new ride is installed.
Answer:
5.27×10^5 gallons
Step-by-step explanation:
Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.
__
4.6×10^5 +6.7×10^4
= 4.6×10^5 + 0.67×10^5
= 5.27×10^5
The park will use 5.27×10^5 gallons of water after the new ride is installed.
__
This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.
USING Pythagoras theorem find the formula of equilateral triangle.
Answer:
Answer with explanation is below~
Step-by-step explanation:
We could easily obtain the formulae/formula of an equilateral triangle not only through Pythagoras Theorem, but also through Heron's formula.
INTRODUCTION:
What's equilateral triangle?
It's an triangle, whose all sides're of equal measurement.What's Heron Formula?
It's just a formula actually,take an example:Let,a,b and c denotes the lengths of 3 sides of any triangle,then the area will be given as:[tex] \boxed{\rm \: Area= \sqrt{s(s - a)(s - b)(s - c)} \: units ^{2}} [/tex]
Where,
s = (a+b+c)/2 {Half of the perimeter, basically}What's Pythagoras' Theorem?
It's actually like a formula but a theorem introduced by Pythagoras.SOLVING:
Let,ABC an equilateral triangle of sides a.
Now:Draw a perpendicular straight line AM to the side BC(Name each part of triangle)
So it's clear that ∆AMB is a right angled triangle at M, BM = (1/2)BC = a/2.
Please note AM here represents the height of ∆ ABC.
Let's use Pythagoras' theorem now.[tex] \boxed{\rm \: AM = \sqrt{AB^2-BM^2}}[/tex]
AB = aBM = a/2[tex] \rm \: AM = \sqrt{a {}^{2} - { \bigg( \cfrac{a}{2} \bigg) }^{2} } [/tex]
[tex] \rm \: AM = 3 \: \cfrac{a {}^{2} }{4} [/tex]
[tex] \rm \: AM = \cfrac{ \sqrt{3} }{2} \: a[/tex]
Now find the area of ∆ABC:
[tex] \rm \triangle \: ABC = \cfrac{1}{2} \times \: BC \times A [/tex]
[tex] \rm \: \triangle \: ABC = \cfrac{1}{2} \times a \times \cfrac{ \sqrt{3}}{4}a [/tex]
[tex] \boxed{\rm\triangle \: ABC = \cfrac{ \sqrt{3 } }{4} a {}^{2} \: units {}^{2}} [/tex]
Hence,the formulae of equilateral triangle using Pythagoras' theorem is {√(3)/4} a^2
[tex] \rule{225pt}{2pt}[/tex]
Extras:
Now let's find the area using Heron's Formula.
Solving:
Let each side of an equilateral triangle be a.
SO, then:
s = (3a/2)
We know that, (Heron's formula)
[tex] \rm \: A = \sqrt{s(s - a)(s - b)(s - c)} [/tex]
Now the area A :
[tex]\rm AR(A)= \sqrt{ \cfrac{ 3a } 2 \bigg(\cfrac{ 3a }{2} - a \bigg)\bigg(\cfrac{ 3a }{2} - a \bigg)\bigg(\cfrac{ 3a }{2} - a \bigg)} [/tex]
[tex]\rm AR(A)= \sqrt{ \cfrac{3a}{2} \bigg( \cfrac{a}{2} \bigg)\bigg( \cfrac{a}{2} \bigg)\bigg( \cfrac{a}{2} \bigg)}[/tex]
[tex]\rm \boxed{ \rm AR(A)= \cfrac{ \sqrt{ 3a}}{4} \: a {}^{2} \: \: units {}^{2}} [/tex]
And voila! we're done!
I hope this helps! :)
[Figure of Equilateral triangle is attached, it denotes the triangle we need to draw while finding the formulae through Pythagoras' theorem. ]
A cylinder has a volume of 200 cm³. If the height of the cylinder is 10 cm, what is the radius of the cylinder
Answer:
2.5
Step-by-step explanation:
The radius of a cylinder formula is
R = √(V / π × h)Plug in
R = √(200 / 3.14 × 10)So . .
R = √(6.4)R = 2.5
( I rounded to the tenth decimal place so you know!)
What does 3+y3+z3= I can’t do it
Answer: 42 easy!
Step-by-step explanation: 42 hope this helps
"I was told I would receive a 15% credit on the fee to activate my service but I was still charged $50.00."
Answer:
Based on the given conditions;
50÷(1-15℅)
=50/1-0.15
=50/0.85
=1000/17
Find the binomial coefficient (8/3)
Answer:
the binomial coefficient
URGENT!!! Which function, g or h, is the inverse function for function ƒ?
the function h because the graphs of ƒ and h are symmetrical about the line y = x
the function g because the graphs of ƒ and g are symmetrical about the line y = x
the function g because the graphs of ƒ and g are symmetrical about the x-axis
the function h because the graphs of ƒ and h are symmetrical about the y-axis
Answer:
The answer is The function h because the graphs of f and h are symmetrical about the line y = x.
Step-by-step explanation:
A function and its inverse function become symmetrical across the line y = x.
Find the measure of angle t
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]
➢Given two lines are intersecting lines➢ as it's clearly known when two or more lines meet each other at a specific points is said to be as intersecting lines nd they must be having a common point ➢Here angle t and angle 120⁰ forms adjacent anglesand sum sum of adjacent angles is 180⁰[tex]{ \rule{70mm}{2.9pt}}[/tex]
[tex] \underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}[/tex]
[tex] \sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree[/tex]
[tex]{ \rule{70mm}{2.9pt}}[/tex]
[tex] \boxed{✛\underline{ \boxed{ \sf{ \: \angle \: t = 60 \degree \: }}}✛}[/tex]
Hope it helps !
At a raffle100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25. What is the expected value of one ticket?
The expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, $1.75.
What is the expected value?The expected value is used to calculate the weighted average of all the possible values of a random variable.
[tex]\sum_{i=1}^n=P_i\times V_i[/tex]
Here, P is the probability of winning a prize and V is the value of the price.
At a raffle, 100 tickets are sold at $2 each for three prizes valued at $100,$50 and $25. The probability of winning one person in 100 persons is,
[tex]P=\dfrac{1}{100}[/tex]
There are three prices of $100, $50 and $25. Thus, the ticket price expected to win is,
[tex]E=100\times\dfrac{1}{100}+50\times\dfrac{1}{100}+25\times\dfrac{1}{100}\\E=1+0.5+0.25\\E=1.75[/tex]
Thus, the expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, is $1.75.
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Il give people 50 points If they do this please
Answer:
a) Time spent, x (minute): 50 < x ≤ 60
b) Time spent, x (minute): 20 < x ≤ 30
Step-by-step explanation:
a) The modal class is the class interval with the highest frequency in a frequency table which is 21 (right column)
b) Find the total amount of Frequency:
12 + 18 + 11 + 9 + 8 + 21 = 79
to find mid number through the data set divided by 2:
79 / 2 = 39.5
so add up the frequency till you reach 39.5 (max)
12 + 18 = 30
30 + 11 = 41 this passes through 39.5 so the median is in the 3rd row
