Answer:
r = 2
Step-by-step explanation:
When a figure is dilated with scale factor r = 1/2, the figure is halved. To reverse it back to normal, you would have to double the halved figure. Doubling something is the same as dilating it with a scale factor of 2.
Hope this helps :)
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.
Complete question :
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.
a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?
Answer:
0.17
0.29686
0.000092
Step-by-step explanation:
Given that :
Probability of success (p) = 0.3
Number of cases (n) = 15
1 - p = 1 - 0.3 = 0.7
Usung binomial distribution formula :
a. What is the probability that exactly 3 of these 15 crimes will be solved?
P(x = 3)
Recall:
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 15C3 * 0.3^3 * 0.7^12
P(x = 3) = 455 *
P(x = 3) = 0.17
B.) What is the probability that at most 3 of these 15 crimes will be solved?
P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
To save computation time, we can using the binomial probability calculator :
P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686
c. What is the probability that more than 11 of these 15 crimes will be solved?
P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)
P( X > 11) = 0.000092
Use the following problem to answer questions 7 and 8. Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playing cards. 7. What is the probability that she chooses 3 spades and 2 cards that are not spades
Answer:
The probability that she chooses 3 spades and 2 cards that are not spades is
0.08154
Step-by-step explanation:
52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts
spades = 13
Non spades = 39
Selecting 3 spades = 13C3 (Using combination)
selecting 2 spades = 39C2
in total 5 cards are drawn = 52C5
Probability of drawing 5 cards (3spades+2 non spades)
=[tex]\frac{ 13C3*39C2}{52C5}[/tex] = 0.08154
1. a. Anita hadoſ a bag of fertilizer left. She used
of what was left. What question about Anitas
fertilizer can be answered by calculating !!!
Answer:
hello your question is incomplete below is the complete question
answer : what part of the bag of fertilizer left was used by Anita
Step-by-step explanation:
Anita had 1/2 bag of fertilizer left
and she used (3/4 of the fertilizer
that means she used ( 3/4 * 1/2 ) bag of fertilizer
hence the question about Anita's fertilizer that can be answered is ; what part of the bag of fertilizer left was used by Anita
Function f is defined by the equation f(x)=x2
What is f(3)
What is the value of the expression shown below?
Please use the photo for whole question, it shows the answers.
Answer:
It should be
Step-by-step explanation:
B.23 1/4Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.
a) y = x + 1
b) y = - x -
c) y = - x - 3
d) y = x +
Answer:
c
Step-by-step explanation:
Just trust me ive had ths question before
prove a stronger version of proposition 2.3.7 suppose xn ia a sequence such that every subsequence xni has a subsequence xnmi that converges to x
Answer and Step-by-step explanation:
Solution:
Given:
A, B and C are sets.
We have to prove that:
(A − B) ∩ (C − B) = (A ∩ C) − B.
Use an element x,
Let x Є (A – B), by the definition of difference:
X Є A and x ∉ B.
And
X Є A ∩ C and x ∉ B
X Є (A ∩ C) – B
Now let x Є C – B
By the definition of difference:
X Є C and x ∉ B
By definition of intersection: x Є C and x Є( A ∩ C)
By definition of difference, using that x Є(A ∩ C) And x ∉ B:
X Є ( A ∩ C) – B
We know that: x Є (A – B) ∩ ( C – B)
Is equivalent to x Є A – B and x Є C – B
So, ( x Є A and x ∉ B)
And (x Є C and x ∉ B)
From this we know that x Є (A ∩ C) – B.
Michaela solved a system of linear equations that had no solution. One of the equations was x + y = 5. The other equation had a y-intercept of −2. What was the other equation?
Answer:
We have a system of equations with no solutions.
One of the equations is:
x + y = 5.
Isolating y in one side of the equation, we get:
y = 5 - x
And the other equation has an y-intercept of -2, the equation can be written as:
y = a*x - 2.
Then the system will be:
y = -1*x + 5
y = a*x - 2
The solution of a system of equations is a point where the graphs of both functions intersect.
Then if both of these lines are parallel, the lines will never intersect, then the second equation must be parallel to the first one.
And two lines are parallel if they have the same slope.
Then the other equation will be:
y = -x - 2
Brainliest to right answer
Answer:
the answer is A)no solutions
What decimal equivalent to 5/6
Answer:
0.83333333
Step-by-step explanation:
The 3 is repeating
Answer:
0.83333333...
Step-by-step explanation:
2) f(x) = 27x^6+ 1524x^3+125
Answer:
Step-by-step explanation:
Let x^3 = y
f(x) = 27(x^3)^2 + 1524(x^3) + 125
f(x) = 27 y^2 + 1524y + 125
You can now put this into the quadratic formula. When you do, you get
(y + 0.0821)(y+56.3623) = 0
So now you substitute x^3 into this
(x^3 + 0.0821)(x^3 + 56.3623)
x^3 + 0.0821 = 0
x^3 = - 0.0821
cuberoot x^3 = cube root 0.0821
x = - 0.4346
x^3 = - 56.3623
x = - 3.8341
What the answer plz help fast? If you get it right i will mark you brainless ❤️
Answer:
You'll mark me brainless?! I shouldn't answer corectly then XD
The answer (keep in mind that i'm answering incorrectly) A, or B, or D, or E.
Do you see what I did there ;)
Step-by-step explanation:
May I have brainliest please :)
Answer:
c
Step-by-step explanation:
Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?
Answer: f(2) is a relative minimum
This is because f(2) is the lowest y output for any given y = f(x) output on the interval [tex]0 < x < 3[/tex] which is what the interval notation (0,3) indicates.
Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood [tex]0 < x < 3[/tex].
Solve: 3x – 8 = 6(1 – 2x) + 16
Answer:
x=2
Step-by-step explanation:
3x-8=6-12x+16
3x+12x=22+8
15x=30
x=2
Answer:
x=2
Step-by-step explanation:
It's right bc I took the test and got it 100%
What is the x-intercept of the graph of - x = 5?
Answer:
x=-5
Step-by-step explanation:
The x-intercept is x=-5
Answer:-5
Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5
Mark studied a group of 30 whales. If each whale weird approximately 3.8x10.5 pounds, find the total weight of all 30 whales. Express in Scientific notation.
Answer:
1.197 * 10^3 lbs
Step-by-step explanation:
3.8 * 10.5 = 39.9 lbs each
Now, we multiply 39.9 by 30, which is 1197 lbs in total
In scientific notation, 1197 is 1.197 * 10^3
I hope this helped, please mark Brainliest, thank you !!
Answer:
114 × 10 ^ 5
Step-by-step explanation:
30: Number of whales
380,000: weight of each whale
30 × 38,000 = 11,400,000 total weight
Scentific notation: Expressing large numbers in a smaller way so
114 × 10 exp 5
(Please help, Multiple Choice) Find the value of X
Answer:
X=19
Step-by-step explanation:
7x-8=6x+11
x=19
Solve each system of equations algebraically x-y=6 y=-1
Answer:
x-(-1)=6
-x=6
-x/-1 6/-1
x=-6
Answer:
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x-y=6;\:y=-1[/tex]
solving
[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]
Isolate x for [tex]x+1=6[/tex]
[tex]x+1=6[/tex]
[tex]x=5[/tex]
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
How to do this like what’s the steps to get the answer???
Answer:
480^12
Step-by-step explanation:
When you're multiplying exponents with the same base, the simplest way is to add the two exponents:
480^8 * 480^4 =
480^(8+4) =
480^12
Then solve, but your question doesn't ask for that.
The perimeter of a rectangle is 44 inches, and its area is 112 square inches. Find the length and width of the rectangle.
Answer:
14, 8
Step-by-step explanation:
Using the formulas
A= Length * Width (lw)
P=2(l+w)
l+w)
There are 2 solutions forl
l=P
4+1
4P2﹣16A=44
4+1
4·442﹣16·112=14in
l=P
4﹣1
4P2﹣16A=44
4﹣1
4·442﹣16·112=8in
The completely factored form of z^5 + 4z^4 - 12z^3
Answer:
−108z 5−64z 3+3z 2−24z−384/6
Step-by-step explanation:i just looked it up.
Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)
Answer:
y-intercept is (0,8)
c. x-intercept is (-8, 0)
Step-by-step explanation:
y=x+8
x=0
y+0=8
y=8
y=0
y=x+8
0=x+8
x=-8
What's greater -5/7 or -2/7
I think -2/7.
-2/7 is closer to 0 which is neither positive nor negative.
-5/7 is closer to a whole negative number.
Jane has 34 candles leftover from the last craft show and Brianna
has 2 candles. They are making more candles for the next show.
Jane makes 24 candles per hour and Brianna makes 32 candles per
hour. They are also going to use the candles left over from the last
show and want to have the same number of candles at their stalls for
this show. Let h represent the number of hours they need to work
for this.
Answer:
4 hours
Step-by-step explanation:
Given that the number of leftover candles for Jane = 34
and the number of leftover candles for Brianna = 2
Rate of candle making for Jane = 24 candles/ hour
Rate of candle making for Jane = 32 candles/ hour
As they work for h hours to make candles.
So, in h hours, the number of new candles made by Jane = 24h candles
For Jane, the total number of candles after h houres, including the leftover candles [tex]= 24h+34 \cdots(i)[/tex]
Similarly, in h hours, the number of new candles made by Brianna = 32h candles
For Brianna, the total number of candles after h houres, including the leftover candles [tex]= 32h+2 \cdots(ii).[/tex]
As they want to have the same number of candles at their stalls, so equating the numbers of candles from equations (i) and (ii), we have
[tex]24h+34=32h+2 \\\\\Rightarrow 32h-24h=34-2 \\\\\Rightarrow 8h=32\\\\[/tex]
[tex]\Rightarrow h=32/8=4[/tex] hours.
Hence, both need to work for 4 hours to have the same number of candles.
True or False
Unit rate is a ration with denominator 2 example 100words in 2 minutes
True
False
Answer:
The Answer Is True
Step-by-step explanation:
Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer
Answer:
<FEA is 70 degrees. It is already given.
Solve 2x^2 - 3x = 12 using the quadratic formula.
A) x = 3/4+√105/4i, x = 3/4-√105/4i
B) x = 3/4+√87/4i, x = 3/4-√87/4i
C) x = 3/4 + √87/4, x = 3/4-√87/4
D) x = 3/4 + √105/4, x = 3/4-√105/4
Answer:
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Step-by-step explanation:
2x² - 3x - 12 = 0
Using the quadratic formula which is
[tex]x = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac} }{2a} \\ [/tex]
From the question
a = 2 , b = - 3 , c = - 12
So we have
[tex]x = \frac{ - - 3\pm \sqrt{ ({ - 3})^{2} - 4(2)( - 12)} }{2(2)} \\ = \frac{3\pm \sqrt{9 + 96} }{4} \\ = \frac{3\pm \sqrt{105} }{4} \: \: \: \: \: \: [/tex]
Separate the solutions
We have the final answer as
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Hope this helps you
In Jayce's favorite video game, he collects stars to earn points. Today, he collected 80 silver stars and earned 160 points. He also collected 30 gold stars and earned 150 points. How many more points per star does Jayce earn from gold stars?
Jayce earns 3 more points from gold stars than from silver stars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Jayce collected 80 silver stars and earned 160 points.
He collected 30 gold stars and earned 150 points.
Therefore,
The points per star Jayce earns from silver stars
160/80=2,
The points per star Jayce earns from gold stars
150/30=5
Hence, Jayce earns 3 more points from gold stars than silver stars.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
You can spend no more than $100 on a party you are hosting the cost per guest is eight dollars what is the number of the guests
Answer:
its.12.5
Step-by-step explanation:
but if you round it up it can be either 13 or 12 but i would stick with 12 cause you cant round it up for guests since you know real life and if you stay at 12 they hey stay at 12
Answer:
12
Step-by-step explanation:
100÷8=12.5
can't have half of a person
What number is a common factor of 54 and 66
Answer:
the common factor of 54 and 66 is 6
Step-by-step explanation:
Answer:
I think it would be 6.
Step-by-step explanation:
I googled it.