Answer:
1/182 or 0.55%
Step-by-step explanation:
There are 2 ways to approach this problem (and both give the same answer!).
First method: probability for each test.
First test, worms: There's 1/14 chances for bear #3 to be selected, since there are 14 bears total.
Second test, ticks: There's 1/13 chances for bear #5 to be selected, since only 13 bears remain (#3 cannot be tested for both ticks and worms).
So, to obtain the total probability, we multiply 1/14 with 1/13 = 1/182
Second method: permutations
We can see the problem from a permutations perspective. How many permutations can we have for 2 bears to be tested? It's a permutation since the order is important. (#3 ticks + #5 worms ≠ #3 worms + #5 ticks)
[tex]P(14,2) = \frac{14!}{(14 - 2)!} = 182[/tex]
There are 182 permutations possible, ONE of which is bear #3 is tested for worms and bear #5 is tested for ticks.
So, once again, 1/182.
-0.75-(-2/5)+0.4+(-3/4)
-0.75-(-2/5)+0.4+(-3/4) = -0.7 simplified, how I got this answer can be found below in 16 steps.
1 - First thing we want to do is remove the parentheses.
-0.75 - (-2/5) + 0.4 - 3/4
2 - Then we simplify, multiply -1 by -1.
-0.75 + 1 (2/5) + 0.4 - 3/4
3 - Then multiply 2/5 by 1.
-0.75 + 2/5 + 0.4 - 3/4
4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.
-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4
5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.
-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4
6 - Then we multiply 5 by 1.
-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4
7 - Then we combine the numerators over the common denominator.
-0.75*5+2/5+0.4-3/4
8 - We multiply -0.75 by 5.
-3.75 + 2/5 + 0.4 - 3/4
9 - Then we add -3.75 and 2.
-1.75/5+0.4-3/4
10 - And then we divide -1.75 by 5.
-0.35 + 0.4 - 3/4
11 - Then add -0.35 and 0.4.
0.05 - 3/4
12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.
0.05/1 * 4/4 - 3/4
13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.
0.05 * 4/4 - 3/4
14 - We combine the numerators over the common denominator.
0.05 * 4 - 3 / 4
15 - We simplify.
-2.8 / 4
16 - Then we divide -2.8 / 4
The final answer is -0.7
what is the domain of the function y=ln(12-4x/5)
[tex]\ln x[/tex] has a domain of [tex]x>0[/tex], so [tex]\ln\left(12-\dfrac{4x}5\right)[/tex] has a domain of
[tex]12-\dfrac{4x}5>0\implies12>\dfrac{4x}5\implies x<15[/tex]
Answer:
The domain of the function is [tex]x<3[/tex]
Step-by-step explanation:
Given : Function [tex]y=\ln (\frac{12-4x}{5})[/tex]
To find : What is the domain of the function ?
Solution :
Domain is defined as the set of possible values which define the function.
We know that, log negative is not defined.
So, we will get the inequality in the function.
[tex]\ln (\frac{12-4x}{5})>0[/tex]
[tex]\frac{12-4x}{5}>0[/tex]
[tex]12-4x>0[/tex]
[tex]-4x>-12[/tex]
[tex]x<3[/tex]
Therefore, The domain of the function is [tex]x<3[/tex]
The square root of a number is 6. What is the other square root of this number?
Answer:
-6
Step-by-step explanation:
If the square root of a number is 6, then the number must be 36 (6*6=36)
However, negatives*negatives also equal positives, so
-6*-6 also =36
hence, your answer should be -6
Final answer:
The other square root of a number whose one square root is 6 is -6, because both 6 and -6 squared give the positive number 36.
Explanation:
The question you're asking pertains to finding square roots of a number. Given that one square root of a number is 6, the other square root would also be 6, but with an opposite sign, so it's -6. This is because when either 6 or -6 is squared (multiplied by itself), the result is 36. So, the number you're looking for is 36, and it has two square roots: 6 and -6. This is because the equation x² = √x holds true for both positive and negative values of x that yield the same positive result when squared.
To find the other square root of the number, we need to consider the fact that a positive number has two square roots - one positive and one negative.
Since the given square root is positive and equal to 6, the other square root would be its negative counterpart, which is -6.
y = 2x – 1 and y = x + 3 ?
A.)(4, 7)
B.)(7, 4)
C.)(–7, –4)
D.)infinite solutions
Answer:
A. (4, 7)
Step-by-step explanation:
y = 2x - 1
y = x + 3
y = x + 3
2x - 1 = x + 3
2x = x + 4
x = 4
y = 2x - 1
y = 2(4) - 1
y = 8 - 1
y = 7
i hope this helps !!
Fred and Stacey both have books to read over the summer. Fred has read 54 pages and Stacey has read 63 pages. What is the ratio of the number of pages Stacey has read to the number of pages Fred has read?
A.
7:6
B.
54:1
C.
1:54
D.
6:7
The answer is 7:6, meaning that it is A.
Hope this helps!
Answer:
A. 7:6
Explanation:
63:54
both numbers have a gcf and its 9 so,
63:54 simplified is 7:6
There are many cylinders with a height of 18 meters. Let r represent the radius in meters and V represent the volume in cubic meters.
a. Write an simplified equation (plugging in all know quantities) in terms of (meaning do not
multiply by 3.14 when you simplify) that represents the volume as a function of the radius.
The equation would be: [tex]V(r)=2\pi r \cdot 18[/tex]
Volume V is represented as a function of radius r. Height of a cylinder h is multiplied by the circumference of the cylinder 2πr to result in volume.
Answer:
18pir^2
Step-by-step explanation:
Consider the ordered pairs (1,4), (-1,2), and (0,3). Which of the four equations below could have been used to generate these three ordered pairs?
Select one:
a. y = x + 3
b. y = -x + 3
c. y = -x - 6
d. y = -x - 3
Answer:
a. y = x + 3
Step-by-step explanation:
All three ordered pairs satisfy the first equation.
___
If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...
(-1, 2), (0, 3), (1, 4)
That is, the y-values increase (by 1) as the x-values increase (by 1).
All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.
Answer:
A. Y=X+3
Step-by-step explanation:
For the data set 7,5,10,11,12, the mean,x,is 9. What is the standard deviation
Answer:
It is 2.91547 You could round if you want.
Step-by-step explanation:
Answer: 2.61
Step-by-step explanation:
Given data (x) : 7,5,10,11,12
Mean of the data : [tex]\overline{x}=9[/tex]
Number of data values : n= 5
Now, [tex]\sum (x-\overline{x})^2=(7-9)^2+(5-9)^2+(10-9)^2+(11-9)^2+(12-9)^2[/tex]
i.e. [tex]\sum (x-\overline{x})^2=34[/tex]
Now, the standard deviation for this data is given by :-
[tex]\sigma=\sqrt{\dfrac{\sum (x-\overline{x})^2}{n}}\\\\\sigma=\sqrt{\dfrac{34}{5}}=2.60768096208\approx2.61[/tex]
Solve px+12=17 for X
Answer:
[tex]\large\boxed{B.\ x=\dfrac{5}{p}}[/tex]
Step-by-step explanation:
[tex]px+12=17\qquad\text{subtract 12 from both sides}\\\\px+12-12=17-12\\\\px=5\qquad\text{divide both sides by}\ p\neq0\\\\\dfrac{px}{p}=\dfrac{5}{p}\\\\x=\dfrac{5}{p}[/tex]
Answer:
b x = 5/p
Step-by-step explanation:
px+12=17
Subtract 12 from each side
px+12-12=17-12
px = 5
Divide by p
px/p = 5/p
x = 5/p
please help 15 points
What is the closed linear form for this sequence given a1 = 27 and an + 1 = an - 2?
A) an = 14 - n
B) an = 30 + 2n
C) an = 27 + 4n
D) an = 29 - 2n
Answer:
C
Hope This Helps! Have A Nice Day!!
Answer:
D) 29-2n
Step-by-step explanation:
find the area of the parallelogram
28 square units
14 square units
24 square units
48 square units
the answer is to your question is 48
Answer:
48 square units
Step-by-step explanation:
to find areas of unusual figures, we divide the section into more easy figures to find its area, in this case we can divide the parallelogram into two triangles, drawing a line from point D to point B
then we will have two triangles whose area is easier to find,let´s see the AB-BD-DA triangle
[tex]A=\frac{b*h}{2}[/tex]
b= 6 units (from -6 to zero)
h=8 units ( from -4 to 4)
[tex]A=\frac{6*8}{2} =24[/tex] square units
the area of the triangle DC-CB-BD is the same,
it's the same triangle but turned up, so we have a total area
At=24 square units* 2= 48 square units
Have a great day
Ruben worked in a union motorcycle factory for 20 years before returning to school to become a paramedic instead. He is 45 now. He has a pension from his previous employer, which would pay him $1500/month after his retirement at 65. Assuming he will live to 80 (which is slightly higher than the life expectancy for an American man) he would earn $270000 over 15 years. The company has stopped offering pensions and wants to buy out his pension today. Should Ruben accept a buyout offer of $125,000? Assume that he could invest the money at an interest rate of 3% with a monthly compounding.
Answer:
Ruben needs a new job
Step-by-step explanation:
in the figure AB is parallel to CD. BC is parallel to AE. angle ABD measures (3x+4). angle BCD measures (6x-8). angle EDF measures (7x-20). what is the degree measure of angle BCD?
Guys I really need ur help. my test is tomorrow and I've been stuck on this question since yesterday. I literally am about to have a mental breakdown
Answer:
The measure of angle BCD is [tex]68.5\°[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
[tex]m<ABD+m<BCD+m<EDF=180\°[/tex] -----> form a straight line
substitute the values
[tex](3x+4)\°+(6x-8)\°+(7x-20)\°=180\°[/tex]
[tex](16x-24)\°=180\°[/tex]
[tex]16x=180\°+24\°[/tex]
[tex]16x=204\°[/tex]
[tex]x=12.75\°[/tex]
step 2
Find the measure of angle BCD
[tex]m<BCD=(6x-8)[/tex]
substitute the value of x
[tex]m<BCD=6(12.75)-8=68.5\°[/tex]
Answer:
Step-by-step explanation:
great job!
The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the area of the rectangle
Answer:
The answer is 6x^2-8x+2
Step-by-step explanation:
To find the area, you have to multiply the length by the width.
You will get the equation of (6x-2)(x-1). Then, you multiply and find the answer, 6x^2-8x+2.
i am a solution. My number cubed is equal to -64. What number am i?
Answer:
the answer is 4. 4*4 is 16 16*4 is 64
Step-by-step explanation:
find the slope ..................
My work is shown up above.
I think this is the answer.
We can use the points (-2, 3) and (0, 4) to solve.
Slope formula: y2-y1/x2-x1
= 4-3/0-(-2)
= 1/2 (Answer)
Hope This Helped! Good Luck!
For every increase one on the ritcher scale an earthquake is 10 times more powerful which of the following models the situation
A.Linear function with a negative rate of change
B. Linear function with a positive rate of change
C. Exponential decay function
D.Exponential growth function
Answer:
D. Exponential Growth.
Step-by-step explanation:
Suppose the equation is y = 10^x which is an exponential function.
When x = 1 , y = 10, when x = 2, y = 10^2 = 100, when x = 3, y = 10^3 = 1000 which is 10 times more powerful for each unit increase of x.
The answer is Exponential growth.
1. The circumference of a circle with diameter of 8 feet is ____?
2. The circumference of a circle with a diameter of 13 centimeters is ____?
3. The circumference of a circle with a radius of 3.5 miles is ____?
Please Help!
The base of a triangle is 3 inches shorter than its height. The area of the triangle is 77 square inches. Find the base and the height
Explain Step-by-step please
I need the work
Answer:
The base is [tex]11\ in[/tex] and the height is [tex]14\ in[/tex]
Step-by-step explanation:
we know that
The area of the triangle is equal to
[tex]A=\frac{1}{2}(b)(h)[/tex]
where
b is the base of triangle
h is the height of triangle
In this problem
[tex]b=h-3[/tex] ----> equation A
[tex]A=77\ in^{2}[/tex]
so
[tex]77=\frac{1}{2}(b)(h)[/tex]
[tex]154=(b)(h)[/tex] -----> equation B
Substitute equation A in equation B
[tex]154=(h-3)(h)[/tex]
[tex]h^{2}-3h-154=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]h=14\ in[/tex]
see the attached figure
Find the base b
[tex]b=14-3=11\ in[/tex]
Can someone please help me out with this question
Answer:
z= 31
Step-by-step explanation:
GF=DE so....... z+31=2z
-z -z
31 = z
PLEASE HELP!!!!
Solve for when f(x)=g(x)
f(x)=5x
g(x)=x^2-10x+1
Answer:
[tex]\large\boxed{x=\dfrac{15-\sqrt{221}}{2}\ or\ x=\dfrac{15+\sqrt{221}}{2}}[/tex]
Step-by-step explanation:
[tex]f(x)=5x\\\\g(x)=x^2-10x+1\\\\f(x)=g(x)\to5x=x^2-10x+1\qquad\text{subtract 5x from both sides}\\\\x^2-15x+1=0\\\\\text{Use the quadratic formula}:\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=-15,\ c=1\\\\b^2-4ac=(-15)^2-4(1)(1)=225-4=221\\\\x=\dfrac{-(-15)\pm\sqrt{221}}{2(1)}=\dfrac{15\pm\sqrt{221}}{2}[/tex]
what is the sum of the interior angle measures of a convex irregular pentagon?
Answer:
540 degrees.
Step-by-step explanation:
The formula for the sum of the interior angles is
S(n) = 180(n - 2) where n = the number of sides.
For a pentagon, with 5 sides it is 180(5 - 2)
= 3*180
= 540 degrees.
Answer:
I think the answer is 540?
Step-by-step explanation:
11yd and 3yd and 3yd
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Step-by-step explanation:
How many 1/3 cups servings are in 4 cups
A 1/12
B 3/4
C 4
D 12
Help with 17, 18,34,35 Please
Only one that would make sense is 1/12
A. 1/12 i guess if not than D. 12
Express 120% as a fraction in simplest form
Answer:
6/5
Step-by-step explanation:
120% turns into 120/100 and from there you simply
To convert 120% to a fraction in its simplest form, write it as 120/100 and then simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 20. This results in 6/5.
Explanation:To express 120% as a fraction in simplest form, you first write the value of the percent as a fraction with a denominator of 100. This is essentially how you convert percentages into fractions. This means that 120% becomes 120/100.
Next, you need to simplify this fraction. To simplify a fraction, you find the greatest common factor of both the numerator and the denominator and then divide each by that number. In this case, the greatest common factor is 20, so you divide both 120 and 100 by 20.
Doing so, the fraction becomes 6/5. Therefore, 120% can be expressed as the fraction 6/5 in simplest form.
Learn more about Converting Percents here:https://brainly.com/question/34057217
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Is 1+4(3x-10)-12x equivalent to -9 ?
After distributing the multiplication and combining like terms, the expression 1+4(3x-10)-12x simplifies to -39, which proves it is not equivalent to -9.
To determine if the expression 1+4(3x-10)-12x is equivalent to -9, we need to simplify the expression first. Let's do that step by step:
Distribute the 4 into the parentheses: 1 + 4*3x - 4*10 - 12x.Simplify the multiplication: 1 + 12x - 40 - 12x.Combine like terms: The 12x and -12x cancel each other out, leaving 1 - 40.Simplify the remaining expression: -39.After simplifying the expression, we end up with -39, which is not equivalent to -9. Therefore, the given expression 1+4(3x-10)-12x is not equivalent to -9.
97) If the average of 3a and 4b is less than 50 and a is twice b, what
is the largest integer value of a?
a) 8
b) 9
c)10
d)11
The average of [tex]3a[/tex] and [tex]2b[/tex] satisfies
[tex]\dfrac{3a+4b}2<50[/tex]
Then
[tex]a=2b\implies\dfrac{3(2b)+4b}2=5b<50\implies b<10[/tex]
[tex]a=2b[/tex], so if [tex]a[/tex] must be an integer, then the largest integer value it can take on is 19 if [tex]b[/tex] can be a rational number (in which case [tex]b=9.5[/tex]) or 18 if [tex]b[/tex] must also be an integer.
Given that none of the provided answer choices lists 18 or 19, I'd bet there's a typo and you're supposed to find the maximum integer value of [tex]b[/tex], in which case the answer would be B as the largest integer value would be 9.
What is the point-slope form of a line with slope -5 that contains the point
(2,-1)?
O A. y-1 = 5(x+2)
O B. y+1 =-5(x-2)
O C. y+ 1 = 5(x + 2)
O D. y-1 = -5(x-2)
Answer:
y + 1 - 5(x - 2)
Step-by-step explanation:
Borrow (2, -1): Substitute 2 for x and -1 for y, and -5 for m in y = mx + b:
-1 = -5(2) + b. Then b = 9, and the desired equation in point-slope form is:
y - (-1) = -5(x - 2), or
y + 1 - 5(x - 2)
The point-slope form of a line with slope -5 that contains the point
(2,-1) is y+1=-5(x-2). Therefore, option B is the correct answer.
What is the point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
The equation of the point slope form is: (y - y₁) = m(x - x₁)
where, (x, y) is a random point on the line and m is the slope of the line.
Given that, a line with slope -5 that contains the point (2, -1).
Substitute m=-5 and (x₁, y₁)=(2, -1) in the point slope form, we get
(y-(-1))=-5(x-2)
y+1=-5(x-2)
y+1=-5x+10
5x+y-9=0
Therefore, option B is the correct answer.
To learn more about the point slope form visit:
https://brainly.com/question/24436844.
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Circle Y has a center at (2,3) and a radius of 4. Circle Z has a center at (2,−3) and a radius of 10. What is the scale factor of all radii of circle Y to all radii of circle Z?
Final answer:
The scale factor of all radii of circle Y to all radii of circle Z is 0.4.
Explanation:
To find the scale factor of all radii of circle Y to all radii of circle Z, we can compare their radii.
Circle Y:
Center: (2,3)
Radius: 4
Circle Z:
Center: (2,-3)
Radius: 10
The scale factor is determined by comparing the radii of the two circles. The radius of circle Y is 4 and the radius of circle Z is 10. To find the scale factor, we divide the radius of circle Y by the radius of circle Z: 4/10 = 0.4.
Therefore, the scale factor of all radii of circle Y to all radii of circle Z is 0.4.
Find the surface area 12cm 15cm 14cm 14cm
Answer:
1288
Step-by-step explanation:
Triangles on the top have surface area 15*14/2 there are four of them so multiply by four to get 420.
The rectangular sections all have area 12*14 except for the base. There are four of these equal sections, so the combined area is 672.
Lastly, the base has area 14*14, which is 196.
Summing all of these we get 1288