Answer:
12 meters
Step-by-step explanation:
2x9=18 (get both widths)
42-18=24 (take away widths of 9m)
24/2=12 (divide by 2 to get one length)
In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a) (5 points) after receiving a call (the 1st call), what is the probability that the 51st call arrives within 150 hours?(b) (5 points) after receiving a call, what is the probability that the next call arrives after 2 hours?(c) (5 points) the number of calls received each day is recorded for 50 consecutive days. find the probability that the sum of these 50 numbers is less than 356.
The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.
Data;
Mean rate = 0.3x = 50standard deviation = ?Poission RuleUsing poission formula,
[tex]P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute[/tex]
Let's substitute the values into the formula.
For 50 calls in 150 hours
For 150 hours = x = 0.3 * 150 = 45
[tex]p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431[/tex]
b)
The probability the next call arrives after 2 hours.
[tex]\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488[/tex]
c)
The number of calls recieved each day is recorded for 50 consecutive days.
for 50 days;
[tex]\lambda = 0.3 * 50 * 24 = 360[/tex]
The mean = 360
The standard deviation is given as
[tex]S.D = \sigma =\sqrt{360} = 18.974\\[/tex]
The probability the sum of these 50 number is less than 356 is
[tex]p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165[/tex]
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Pls help me !!
a sector of a circle has a central angle measure of 90°, and an area of 7 square inches. what is the area of the entire circle?
area of the circle = __ square inches
Explanation:
90° is 90/360 = 1/4 of a full 360° rotation. Meaning that if the central angle of the pizza slice is 90°, then we have four equal slices.
One slice is 7 square inches, so all four slices combine to 7*4 = 28 square inches
Justine has $13.50 left on her city bus card and each bus ride cost $2.25.what equation can be used to find the number of bus rides he has left
Answer:
6 rides
Step-by-step explanation:
Total balance = $13.50 = ($2.25/ride)x, where x is the remaining number of rides. Dividing both sides by $2.25/ride yields 6.
Justin has enough on his bus card for 6 more rides.
find a polynomial equation of the lowest degree with rational coefficients whose one root is (cbrt 2 + 3*cbrt 4)
Answer:
poly Gon have [tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex][tex] \huge\color{blue}{ \rule{1pt}{999999pt}}[/tex]
I need help please!!!!
Answer:
297 ft squared
Step-by-step explanation:
find the area of the triangle, which is (bh)/2
(22*7)/2=77
find the area of the rectangle (bh)
22*10=220
add
77+220=297
Nick plays guitar in a band. He estimates that he plays the wrong chord about 14% of the time. He uses a standard deck of cards to model the situation, with all the 2s and 3s representing when he plays a wrong chord. Which statement about his model is true?
Answer:
His model can be improved by removing one of the 2s from the deck.
Step-by-step explanation:
His model can be improved by removing one of the 2s from the deck.
Answer:
His model can be improved by removing one of the 2s from the deck.
Step-by-step explanation:
Plato/Edmentum
Which of the x values are solutions to both of the following inequalities
100< X and x<150
From both equations
100<x<150Hence the solution set in interval notation
x[tex]\in[/tex](100,150)hi , can anyone help me on this question using cross multiplication.
[tex]\textbf{7).}\\\\2g^2 +5g+3\\\\=2g^2 +3g+2g+3\\\\=g(2g+3)+(2g+3)\\\\=(g+1)(2g+3)\\\\\\\textbf{10).}\\\\-6k^2+5k+21\\\\=-(6k^2 -5k-21)\\\\=-(6k^2-14k+9k-21)\\\\=-\textbf{[}2k(3k-7)+3(3k-7) \textbf{]}\\\\=-(2k+3)(3k-7)\\[/tex]
What is the slope of the line that passes through the points (-5, 6)and (-9,−6)? Write your answer in simplest form.
Answer:
4/5
Step-by-step explanation:
the slope formula is y(2)-y(1)/x(2)-x(1) which is
-6-6/-9-6=
-12/-15=
4/5
hey I need help please help if you can ty!!! :)))
Answer:
12.3
Step-by-step explanation:
cause it's to the tenth which is the decimal place right after the decimal which make 12.342 12.3
Nadia walks at an average speed of (x + 2) km/h for (x – 3) hours and cycles at an average speed of (3x + 5) km/h for x hours. She covers a total distance of 74 km. (i) Form an equation in x and show that it reduces to 4x2 + 4x - 80 = 0. (ii) Solve the equation 4x2 + 4x – 80 = 0. (iii) Find the time taken for her entire journey.
The time taken by Nadia for her entire journey is 5 hours
Speed and distance
Speed is the rate at which an object is moving, and it is defined as the distance traveled per unit of time. The formula for speed is:
Speed = Distance/Time
Where distance is the distance traveled by an object and time is the time taken to travel that distance.
From the fomrula, we can write as
Distance = Speed × Time
Here we have
Nadia walks at an average speed of (x + 2) km/h for (x – 3) hours and cycles at an average speed of (3x + 5) km/h for x hours.
As we know, Distance = Speed x Time
Distance walked = (x + 2)(x - 3)
Distance cycled = (3x + 5)(x)
The total distance covered is given as 74 km,
=> (x + 2)(x - 3) + (3x + 5)(x) = 74
=> x² - 3x + 2x - 6 + 3x² + 5x = 74
=> 4x² + 4x - 80 = 0
Hence, the final equation is 4x² + 4x - 80 = 0
(ii) The quadratic equation, can be solved as follows
=> x² + x - 20 = 0
=> x² + 5x - 4x - 20 = 0
=> x(x + 5) -4(x + 5) = 0
=> (x + 5) (x - 4) = 0
=> x = - 5 and x = 4
Here we cant take time as negative so take x = 4 hours
(iii) To find the time taken for her entire journey, we need to add up the time taken for walking and cycling:
Total time = (x - 3) + x
Total time = 2x - 3
Substituting the value of x
Total time = 2(4) - 3 = 8 - 3 = 5
Therefore,
The time taken by Nadia for her entire journey is 5 hours
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please help me...asap
What is the form of the Difference of Squares identity?
A. a^2 + b^2=(a - b)(a - b)
B. a^2- b^2 = (a+b)(a - b)
C. a^2 - b^2 = (a - b)(a - b)
D. a^2- b^2 = (a+b)(a + b)
The answer is B
seeing there are 3 way to put it
(a+b)(a-b)=a 2-b 2
(a+b)(a-b)=a^2-b^2
(a+b)(a-b)=a2-b2
and option B matches with the second way to put it i hope this helps
What is the approximate circumference of the circle?
What is the height of the parallelogram?
What would be the approximate length of the parallelogram if the base were completely straight?
What would make the estimation of the circle’s area more precise?
What is the area of the circle used to create the parallelogram-like shape to the nearest tenth of a square unit?
1. 18.8 units
2. 3 units
3. 9.4 units
Breaking the circle into more sectors
4. 28.3 square units1. The circumference of circle is 18.8 units
2. The height of parallelogram is 3 unit.
3. The approximate length of the parallelogram if the base were completely straight is 9.4 unit
4. The estimation is easier by breaking down into sector.
5. Area of Circle is 28. 26 unit²
What is Circumference?The circumference of the circle is 2πr where is the radius of the circle.
1. The circumference of circle
= 2πr
= 2 x 3.14 x 3
= 18.8 units
2. From Figure the height of parallelogram is 3 unit.
3. The approximate length of the parallelogram if the base were completely straight
= 18.8 / 2
= 9.4 unit
4. The estimation is easier by breaking down into sector.
5. Area of Circle
= πr²
= 3.14 x 9
= 28. 26 unit²
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!!!40 POINTS AND BRAINLIEST!!!ANSWER IT ONLY IF YOU KNOW THE ANSWER, MAKE SURE TO EXPLAIN!!!!
Helppp plssssss!!!!!!
Is –43 − –7 positive or negative?
First, -43-(-7) is the same as -43+7, which is equal to:-
-36
Is the answer positive or negative? The sign in front of 36 will tell us whether the number is positive or negative.
It is negative, because there's a minus sign next to it.
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
positive
Step-by-step explanation:
hope this helps.
FAST
Identify the correct weight to the nearest pound.
Answer:
Due to the location of the marker, it is closest to:
C.) 10/16 = 5/8 lb.
Each pound is divided into 16ths since 10 sixths are represented by the marker then the answer would be 10/16.
10 / 16 = 5 / 8
10 divided by 2 = 5
----------------------------
16 divided by 2 = 8
Therefore 10 / 16 = 5 / 8.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer:
[tex]\frac{10}{16} =\frac{5}{8}[/tex]
Step-by-step explanation:
My answer is due to, it doesn't use the markers it goes by smaller numeral making me believe it uses the 16th instead of the 8th, also you can see it hits the tick mark for the bigger saying that is settled on making me think that is the answer.
To break it down why the others are not correct the [tex]\frac{4}{8}[/tex] is the mesurent saying it is half which it clearly is not half way. The other is [tex]\frac{7}{8}[/tex] butyou can see the marker is not nearly close enough for it to be almost to a pound. and the last option 1[tex]\frac{5}{8}[/tex] doesn't make sense it seems it would have to be more then a pound.
Hannah is solving a quadratic equation in the form ax^2+ bx + c = 0
She has got to this point in her working out.
x = 3 +/- root 29 / 2
Find the values of a, b and c for the equation Hannah is solving.
A quadratic equation is represented by the form ax^2+ bx + c = 0
The values of a, b and c are 1, -3 and -5, respectively
How to determine the values of a, b and c?The solution is given as:
[tex]x = \frac{3 \pm \sqrt{29}}2[/tex]
The solution to a quadratic equation is represented as:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
By comparing [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex] and [tex]x = \frac{3 \pm \sqrt{29}}2[/tex], we have:
-b = 3
So, b = -3
Also, we have:
2a = 2
So, a = 1
Also, we have:
b² - 4ac = 29
Substitute values for a and b
(-3)² - 4 * 1 * c = 29
This gives
9 - 4c = 29
Subtract 9 from both sides
-4c = 20
Divide by -4
c = -5
Hence, the values of a, b and c are 1, -3 and -5, respectively
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A cuboid has volume of 120cm.
The area of the base of the cuboid is 30cm?
Work out the surface area of the cuboid.
Answer:
already answered
Step-by-step explanation:
go to this
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ANSWER ASAP, ILL GIVE BRAILIEST
Which measurement goes from one outside edge all the way across to the other outside edge?
Diameter
Circumference
Radius
Answer:
circumference
Step-by-step explanation:
circumference shows us how sowmthing goes around. like have you ever been to the doctor and they said theyre checking a babys head circumference? theyre checking it all over.
The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to pay more for a yearbook if their names were printed on the front. of the students who were surveyed, 26 of them said they would be willing to pay extra.
with a desired confidence interval of 90%, which has a z*-score of 1.645, what is the margin of error of this survey?
Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:
[tex]n = 80, \pi = \frac{26}{80} = 0.325[/tex]
Then, the margin of error is of:
[tex]M = 1.645\sqrt{\frac{0.325(0.675)}{80}} = 0.0524[/tex]
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Which type of function best models the data in the table?
A. linear
B. exponential
C. quadratic
D. inverse variation
Answer: Your answer is indeed D. Inverse variation.
Hope this helped!
Answer:
first question:
inverse variation
second question:
for evenly spaced x-values, the ✔ difference of consecutive y-values is not constant.
Step-by-step explanation:
hope this helps!! have an amazing day <3
Find the area of this shape
Answer:
216
Step-by-step explanation:
Split the image into geometric shapes, and then calculate the area of each shape, then add them all up to get your grand total of 216
Which list shows the decimals ordered from least to greatest?
0.71, 0.6, 0.716
0.39, 0.95, 0.395
0.4, 0.47, 0.482
0.19, 0.06, 0.2
Answer:
Least to greatest: 0.4, 0.47, 0.482
The length of a rectangular fam is 15 inches, and the width of the frame is 8 inches. What
is the length of a diagonal of this frame in inches?
Record your answer below. Just the number.
Answer: 17 inches
Step-by-step explanation:
The formula for finding the length of a diagonal in a rectangle is [tex]d=\sqrt{w^2+l^2}[/tex]
Where
d is the diagonal
w is the width (8 for this)
l is the length (15 for this)
Sub these values into the equation
[tex]d=\sqrt{w^2+l^2}\\d=\sqrt{(8)^2+(15)^2}[/tex]
Solve
[tex]d=\sqrt{(8)^2+(15)^2}\\d=\sqrt{64+225}\\d=\sqrt{289}\\d=17[/tex]
probability pls hurry(13)
Answer:
A (3/16)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
The spinner is evenly divided and numbered from 1 through 8.
[tex]\sf \implies Probability\:of\:landing\:on\:any\:number= \dfrac18[/tex]
There are 4 even numbers (2, 4, 6 and 8)
[tex]\sf \implies Probability\:of\:landing\:on\:an\:even\:number= \dfrac48=\dfrac12[/tex]
There are 3 numbers less than 4 (1, 2 and 3)
[tex]\sf \implies Probability\:of\:landing\:on\:a\:number\:less\:than\:4=\dfrac38[/tex]
Therefore, the probability of landing of an even number and then on a number of less than 4 is:
[tex]\sf \implies Probability=\dfrac12 \times \dfrac38=\dfrac{3}{16}[/tex]
What is the missing value in this calculation?
2/13+ ?/13=6/13
Answer:
? = 4
Step-by-step explanation:
2/13 + ?/13 = 6/13 (Given)
-2/13 -2/13 (Isolate the unknown through subtraction)
?/13 = 6/13 - 2/13
?/13 = 4/13 (Combine like terms)
? = 4
Because the demoninators are the same, the unknown value can be found using isolation techniques. To find the unknown, subtract 2/13 from both sides. This eliminates the 2/13 from the right side while obeying the rule that states that what is done to one side must to done to the other. This leaves the ?/13 by itself on the right and 4/13 on the left. Again, because the demoninators are identical, the unknown value must be 4.
When the 18 French class students randomly line up for a fire drill, what is the probability that Amy is first
and Zach is last in line?
The probability of Amy and Zach to line up at the frond and last in the line will be 11.11%
What is probability?The chances of happening of any random event is called as the probability. Here in the question there are 18 class students we need find that the first and the last position should be occupied by Amy and jach.
Total outcomes =18
favourable outcome=2
So the probability of the Amy and Zach to stand in the front and the last in the line will be
[tex]P=\dfrac{2}{18}=0.11=11\%[/tex]
Hence the probability of Amy and Zach to line up at the frond and last in the line will be 11.11%
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The quotient of 36 and a whole number increased by 3, is 20 less than four times the number.
Find the number(s).
Answer: [tex]\frac{12}{19}[/tex]
The quotient of 36 and a whole number increased by 3, is 20 less than four times the number. The solution to the algebraic equation here are 6 and -4.
An algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some field, often the field of the rational numbers.
The algebraic equation becomes =
[tex]\frac{36}{x+3}-20 = 4x\\[/tex]
We simplify the equation to find the value of x.
[tex]=\frac{36}{x+3}+20 = 4x\\\\= \frac{36}{x+3} = 4x -20\\\\= \frac{36}{x+3} = 4(x-5)\\\\=36 = 4(x-5)(x+3)\\\\=9 = (x-5)(x+3)\\\\=x^2-5x+3x -15 = 9\\\\= x^2-2x-24=0\\\\=x^2-6x+4x-24=0\\\\=x(x-6)+4(x-6) =0\\\\=(x+4)(x-6) =0\\\\x = -4,6[/tex]
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