x^2 - 3x = x ( x - 3 )
ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ
These box plots show the daily high temperatures in two cities over a
two-week period. Express the difference between the median temperatures
as a multiple of the IQR for each city. Show your work.
London
Honolulu
60
50 52 54 56 58
High Temperature (°F)
4
80 82 84 86
High Temperature (°F)
sorry i don't know. this answer.
In a class of 25 students, 16 have a brother and 10 have a sister. There are 6 students who have a brother and a sister. What is the probability that a student chosen randomly from the class has a sister?
The probability that a student chosen randomly from the class has a sister, in a class of 25 students, is 2/5.
What is the addition rule of probability for two events?For two events A and B, we have:
Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.
This can be written symbolically as:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
For three events, A, B and C:
[tex]P(A \cup B \cup C) = P(A) + P(B) + P(C) - P(A\cap B) - P(A \cap C) - P(B \cap C) + P(A \cap B \cap C)[/tex]
In a class of 25 students, 16 have a brother and 10 have a sister. There are 6 students who have a brother and a sister.
Let A is event of a student having a brother and B is event of a student having a sister.
The probability of event A is,
[tex]P(A)=\dfrac{16}{25}[/tex]
The probability of event B is,
[tex]P(B)=\dfrac{10}{25}\\P(B)=\dfrac{2}{5}[/tex]
The probability of occurrence of both event A and B together,
[tex]P(A\cap B)=\dfrac{6}{25}[/tex]
Thus, the probability that a student chosen randomly from the class has a sister, in a class of 25 students, is 2/5.
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Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi=3.14 in any formulas used.
Answer:
Perimeter of the entire shape is 114.24
Step-by-step explanation:
Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24
Answer:
Perimeter of the entire shape is 114.24
Step-by-step explanation:
Use pi x diameter of the semicircle divided by 2 + the diameter to find the perimeter of one semicircle. There are 4 semi-circles so you multiply this by 4. Then you take the perimeter of the inside 8x4 = 32. Add them all together to get 114.24
On Sarah's shelf are 6 mystery books,5 science books,4 history books, and 3 adventure books. What is the probability of NOT selecting a mystery book?
Answer:
Probability of Sarah NOT selecting a mystery book = 0.67
Step-by-step explanation:
Probability helps to show how likely an event will occur;
The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.
We can take this route to solve this problem
The probability of picking an option from a broad list of alternatives can be calculated using the formula:
Probability = number of expected outcomes/ total number of options
For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.
The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.
We can get this by adding 6 + 5 + 4 + 3 = 18
Probability of Sarah selecting a mystery book = 6/18
Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67
PLZ HELP NO LINKS! WILL GIVE BRAINLIEST!
There are 6500 people in a certain area. The area is growing at a rate of 3.5%.
Use the formula A=Pertto calculate the time it would take for the area to reach 11500 people. Calculate the solution for t to the nearest tenth using logarithms.
Answer:
24,831.28
Step-by-step explanation:
Brainliest pls
Answer:
t = 16.6
Step-by-step explanation:
In the formula:
[tex]a = p(1 + r )^{t} [/tex]
A is the final amount, in this case is 11500 people. P is the initial amount, in this case is 6500 people. r is the growth rate, which in this case is 0.035 - we have to express it s a decimal, not a percent. And finally t is the time, which is the variable we want to find.
Let's clear t first and replace all these values at the end. To clear t we have to leave only the factor which exponent is t on one side of the equation. To do this we have to divide both sides by P:
[tex] \frac{a}{p} = \frac{p}{p} (1 + r) ^{t} \\ \frac{a}{p} = (1 + r)^{t} [/tex]
Now we have to use the following rule for the exponents and logarithms:
[tex] {a}^{x} = b[/tex]
Apply logarithms on both sides:
[tex]log( {a}^{x}) = log(b)[/tex]
By the exponents rule of logarithms
[tex]x \: log(a) = log(b)[/tex]
For this problem we have:
[tex]log \frac{a}{p} = log(1 + r)^{t} \\ log \frac{a}{p} =t \: . \: log(1 + r)[/tex]
Now we have to divide both sides by log(1+r) to clear t:
[tex]log \frac{a}{p} = t \: . \: \frac{log(1 + r)}{log(1 + r)} \\ t = \frac{log \: \frac{a}{p} }{log(1 + r)} [/tex]
And finally we just have to replace the values into this equation we found: A = 11500, P = 6500 and r = 0.035:
[tex]t = log \: \frac{11500}{6500} \\ log(1 + 0.035) \\ log \: \frac{23}{13} \\ t = log \: 1.035 \\ t = 16.6[/tex]
Which point best represents 3.3
Answer:
point x
Step-by-step explanation:
it's like the positive side of the line, but in reverse. with negatives, the higher the number the lower it is and since 3.3 is bigger than 2 it would be closer to 4
Consider function f.
Which statement is true about function f?
A.
The function is continuous.
B.
As x approaches positive infinity, approaches positive infinity.
C.
The function is increasing over its entire domain.
D.
The domain is all real numbers.
Answer:
Step-by-step explanation:
Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0: 2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.
Now do the same thing with
-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4. Thus, this function is not continuous at x = 2.
We must reject statement A.
Statement B: as x increases without bound, (1/2)x + 3 also increases without bound. This statement is true.
Statement C: False, because the quadratic -x^2 - 4x + 1 has a maximum at
x = -b/[2a], or x = -(-4)/[-2], or x = -2
Statement D: True: there are no limitations on the values of the input, x.
The statement B is as x approaches positive infinity f(x) approaches positive infinity is true
What is the definition of the limit?A point or level beyond which something does not or may not extend or pass.
We have to check for continuity by evaluating [tex]2^x[/tex] and [tex]-x^2 - 4x + 1[/tex]
at the break point x = 0
[tex]2^0[/tex]is 1 and [tex]-x^2 - 4x + 1[/tex] is also 1,
So these two functions approach the same value as x approaches 0.
Now do the same thing with
[tex]-x^2 - 4x + 1[/tex]and [tex](1/2)x + 3[/tex] at x = 2;
The first comes out to -11 and the second to 4.
Thus, this function is not continuous at x = 2.
We must reject statement A.
for B we have as x increases without bound,
[tex](1/2)x + 3[/tex]
also increases without bound.
Therefore the statement B is true statement.
Statement C is False,
because the quadratic[tex]-x^2 - 4x + 1[/tex] has a maximum at
[tex]x = -b/[2a],[/tex]
[tex]x = -(-4)/[-2],[/tex]
[tex]x=-2[/tex]
There are no limitations on the values of the input, x.
D is also false negative number are in real numbers.
Therefore,the statement B is as x approaches positive infinity f(x) approaches positive infinity is true
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Determine if the following system onf equations has no solutions, infinite solutions, or one solution
-5x+2y=5
5x-2y=-5
What is the area in square centimeters of the trapezoid below
Answer:
39.6 cm²
Step-by-step explanation:
The formula for the area of a trapezoid is given as:
Area of a Trapezoid = 1/2(a + b) h
Where, from the question:
a = 8.9 cm
b = 5.5 cm
h = 5.5cm
Hence,
1/2 (8.9cm + 5.5cm) × 5.5cm
= 1/2 × 14.4 cm × 5.5 cm
= 39.6 cm²
Area of the Trapezoid = 39.6 cm²
Which figure will result from this net?
Number 6
Plsss help can use desmos calculator
Extra 100 points and brainliest
use symolab its super easy
Answer:
a=16n+27
Step-by-step explanation:
Prasad worked 15 hours this week and earned $195. Assuming he is paid by the hour, how much will Prasad earn next week if he is scheduled to work 12 hours?
Answer:
$156
Step-by-step explanation:
First you must find out the number of dollars Prasad receives per hour.
Since he earns $195 in 15 hours we can do 195/15 = 13 to find out the amount of dollars he earns per hour which is $13.
Next we must find out how much money he receives when he work for 12 hours so we simply do 13 (payment per hour) * 12 (amount of hours he works) which will give us $156!
This makes sense cuz 156 is a little bit less than 195 and ofc 12 is a little bit less than 15!
Prasad earn $156 next week if he is scheduled to work 12 hours
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Prasad worked 15 hours this week and earned $195
We have to find the amount earned by prasad for work 12 hours
Let us form an proportional equation.
Let x be the amount earned for 12 hours
15/195 = 12/x
Apply cross multiplication
15x=195(12)
15x=2340
Divide both sides by 15
x=2340/15
x=156
Hence, Prasad earn $156 next week if he is scheduled to work 12 hours
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Am I right or wrong if so please tell me the answer
Answer: I believe you are correct I got the same answer as you.
Answer:
wrong, it would be 1/2 and 5/8
Step-by-step explanation:
7/8ths is over 3/4ths. to check use decimal form which is done by dividing numerator by denominator.
PLEASE HELP NO LINKS PLEASE.
Answer:
a) A
b) A
c) B
c) B
Step-by-step explanation:
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
4:1
Step-by-step explanation:
unsimplified version : 12 to 3
12 and 3 both have a common common factor ( which would be 3 )
This means that we can divide the current ratio to get a simpler ratio
12/3=4
3/3=1
The new simplified ratio would be 4:1
Help is really appreciated :)
Answer: See Below
Step-by-step explanation: See the pictures below
Im very confused help me
Answer:
$8250
Step-by-step explanation:
In other words, a 15% discount for a item with original price of $55000 is equal to $8250 (Amount Saved). Note that to find the amount saved, just multiply it by the percentage and divide by 100.
Mark me as Brainliest
Answer:
C. 8250Step-by-step explanation:
15% is equivalent to 15/100 or 0.15
So just multiply $55,000 by 0.15.
After multiplying, you should get 8250.
So 8250 is your answer
What should you do first in solving this equation?
x2 + 6x - 13 = 3
Answer:
x = 2
Step-by-step explanation:
x2 + 6x - 13 = 3
first you add 13 to other side and get
x2 + 6x = 16
next you combine x's
8x = 16
then you divde the 8x by 16
and you get x = 2
URGENT!!HURRY!!PLS!!
Answer:
Step-by-step explanation:
[tex]\sqrt{}[/tex]A ^ 2 + B ^2 = C ^2 for hypotenuse
20^2 + 5^2 = C
400+25 = 425
[tex]\sqrt{425}[/tex] = 20.61
20.61 is hypotenuse.
X = 180 - 20.61 = 159.39
Hope that helps
Copy the diagram. Then draw Rx=-1 (ABC). Lable the vertices of the image by using prime notation.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Reflection over x = -1 performs the transformation ...
(x, y) ⇒ (-2-x, y)
At which of the given values is the graph discontinuous? will report if links is put as an answer.
Answer:
A
Step-by-step explanation:
Jump discontinuity
In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
1843:6754.9709254546.,657675
Step-by-step explanation:
The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°
What is the law of sines?The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ΔRST
Now , the measure of s = 620 cm
The measure of side r = 210 cm
And , the measure of angle m∠R = 17°
From the law of sines , we get
a / sin A = b / sin B
On simplifying , we get
sin ( 17 )° / 210 = sin ( S ) / 620
Multiply by 620 on both sides , we get
sin ( S ) = ( 620 / 210 ) x 0.2923717
On further simplification , we get
sin S = 0.86319265203
Taking inverse on both sides , we get
S = sin⁻¹ ( 0.86319265203 )
S = 59.68°
S = 59.7°
Therefore , the value of S is 59.7°
Hence , the measure of angle m∠S = 59.7°
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Help me please! If it’s right I’ll give brainliest
Answer:
100 i think
Step-by-step explanation:
How do u write any number to the zeroth power
Answer:
0 as an exponent would look something like 6^0 and anything to the power of 0 is always 1
What is the volume of the triangular prism in feet cubed?
Answer:
V=1 4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
Step-by-step explanation:
Answer:
Picture please
Step-by-step explanation:
Ill check on your other question,, and always make sure there is an image attached when asking something that includes and needs an image/picture/screenshot!
What is 2 units up and 0 to the right from (-4,2).
Answer:
Step-by-step explanation:
What is 2 units up and 0 to the right from (-4,2).
Answer:
(-4,4)
Step-by-step explanation:
Help please!
Jenna filled Asha's gym locker 3/4 full of sand. How much sand is in her gym locker?
(the volume of the gym locker is 8,640)
Answer: 2880
Step-by-step explanation:
Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)
Step-by-step explanation:
Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)
also
6300
8400
= B= 14056
Answer:
5
Step-by-step explanation:
Calculate the slope , rate of change m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 40) and (x₂, y₂ ) = (6, 30)
m = [tex]\frac{30-40}{6-8}[/tex] = [tex]\frac{-10}{-2}[/tex] = 5
Triangle ABC is given.
What is the measure, in degrees, of ∠A?
Answer:
Angle A = 56° check the attachment for detailed solution
The rental car company had 14 sedans and 8 minivans available to rent. If the next customer picks a vehicle at random, what is the probability that a minivan is chosen?
Group of answer choices
12/23
8/23
4/11
14/22 i will give brianllents if its right
Answer:
4/11 (I think I'm not sure. I'm sorry if I'm wrong)
Step-by-step explanation: