You were on the right track. Here are two ways to go about it.
• By definition of conditional probability,
Pr[A | B] = Pr[A and B] / Pr[B]
Out of the total 100 participants in the survey, there are 18 people that both have a positive attitude and are over 35, so
Pr[positive and over 35] = 18/100
Out of the 100 pariticipants, 40 are over 35, so
Pr[over 35] = 40/100
Then the conditional probability you want is (18/100) / (40/100) = 18/40 = 9/20.
• There are 40 people over 35 in the survey. You want the probability that someone randomly chosen from this group has a positive attitude, of which there are 18. Hence the probability is 18/40 = 9/20.
Analyze the expression. 4(0.5x – 8) What expression is equivalent to the given expression? 2x – 32 2 x – 32 2x + 8 2 x + 8 8x – 8 8 x – 8 8x + 32
The given expression is equivalent to 2.0x-32.
We have given that
4(0.5x-8)
We have to determine the equivalent expression.
We have to use the distributive property here
What is the distributive property?a(b+c)=ab+ac
Therefore, by using the distributive property we have,
4(0.5x-8)=2.0x-32
Therefore the given expression is equivalent to the first option
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Need help ASAP! TYSM simplify 4√6/√30
Answer
4
√
5
5
Step-by-step explanation:
In the society library, there are 3,98,456 old books. The management decided to add 67,876 new books. How many books will be there in library?
Answer:
do addof. old books and new
Simplify 2 little 3 x 2 little 4
the width of a rectangle is 3x+1. the length is three times the width. what is the simplified expression of the total perimeter of this rectangle?
Answer:
The total perimeter here is P =21x + 7
Step-by-step explanation:
Let W and L represent the width and length of the rectangle. Then the perimeter is P = 2W + 2L. Substituting 3x + 1 for W and 3(3x + 1) for L, we get
P = 2(3x + 1) + 2*3*(3x + 1), or P = 7(3x + 1) = P =21x + 7
Question 5 of 10
Solve the rational equation:
4x/x+5 = x/x+4
Answer:
[tex] x = 0 [/tex] or [tex] x = -\dfrac{11}{3} [/tex]
Step-by-step explanation:
I assume the denominators are x + 5 and x + 4 although that is not what you wrote.
[tex] \dfrac{4x}{x+5} = \dfrac{x}{x+4} [/tex]
[tex] (x + 4)(x + 5)\times \dfrac{4x}{x+5} = (x + 4)(x + 5) \times \dfrac{x}{x+4} [/tex]
[tex] (x + 4)(4x) = (x + 5)(x) [/tex]
[tex] 4x^2 + 16x = x^2 + 5x [/tex]
[tex] 3x^2 + 11x = 0 [/tex]
[tex] x(3x + 11) = 0 [/tex]
[tex] x = 0 [/tex] or [tex] 3x + 11 = 0 [/tex]
[tex] x = 0 [/tex] or [tex] 3x = -11 [/tex]
[tex] x = 0 [/tex] or [tex] x = -\dfrac{11}{3} [/tex]
Which of the following functions is graphed below?
Answer:
Answer A
Step-by-step explanation:
Please answer for me.
Answer:
The following is equivalent to -1.
Step-by-step explanation:
[tex]\text{Use PEMDAS to solve this equation.}\\\frac{4^3/(-12+2^2)}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate 2 squared in the first parenthesis.}\\\frac{4^3/(-12+4)}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate -12 + 4 in the first parenthesis.}\\\frac{4^3/-8}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate 2 times 3 in the next parenthesis.}\\\frac{4^3/-8}{(6^2+(-5*2*3)+2}\\\text{Evaluate -5 times 2 in the next parenthesis.}\\\frac{4^3/-8}{6^2+(-10*3)+2}\\\text{Evaluate -10 times 3 in that parenthesis.}\\[/tex]
[tex]\frac{4^3/-8}{6^2-30+2}\\\text{Now that the parenthesis are finished, start evaluating exponents, start in the numerator.}\\\frac{64/-8}{6^2-30+2}\\\text{Evaluate the remaining exponent.}\\\frac{64/-8}{36-30+2}\\\text{Evaluate the division in the numerator.}\\\frac{-8}{36-30+2}\\\text{Finally, evaluate the numbers in the denominator.}\\\frac{-8}{6+2}\\\frac{-8}{8}\\\text{Divide -8 by 8 to get your final answer:}\\-1[/tex]
Show work, solve by using square root method
Answer:
4[tex]x^{2} - 2x^{2} = 16\\x^{2} - 4 = 16\\ ||||-4 ||-4||\\x^{2} =20\\\\\sqrt{x} ^{2} = \sqrt{16} \\x = 4[/tex]
Step-by-step explanation:
x
-12x - 7=53 ill give brainlies
Answer:
x=-5
Step-by-step explanation:
-12x-7=53
+7=+7
-12x=60
divide both sides by negative 12
60/-12= -5
so x =-5
The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The equation with a single variable 'x' is given below.
- 12x - 7 = 53
Simplify the equation, then we have
- 12x - 7 = 53
- 12x = 60
x = 60 / (-12)
x = - 5
The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.
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The population parameters that describe the y-intercept and slope of the line relating y and x, respectively, are _____. a. a and b b. B0 and B1 c. y and x d. a and B
The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.
What is a population model?A population model can be represented by the equation:
[tex]\mu_y=\beta_1x + \beta_o[/tex]
Where μy is the population mean, β₀ is the y intercept and β₁ is the slope of the line
The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.
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can any one help me with this question I don't really get it please help
Answer:
104.5 is what I got, tell me if that's wrong.
Answer:
104 1/2
Step-by-step explanation:
The answer is 104 1/2 since the formula for volume is LWH. You have to do 6 1/3*3*5 1/2.
6 1/3=19/3
5 1/2=11/2
19/3*3/1=57/3.
57/3*11/2=627/6.
627/6=104.5 or 104 1/2.
Help Help please :3
360
Step-by-step explanation:
im not too sure tho
Please help me!!!!!!!!
Answer:
A. 7 and 8
Step-by-step explanation:
Mode is the number that has occured the most often. 7 and 8 both occured the most
Answer:
OPTION C
Step-by-step explanation
MODE MEANS THE NUMBER THAT OCCURED THE MOST OUT OF THE BUNCH
What is the approximate volume of this sphere?
Don't forget to use the formula: V=43πr3
A: 392.5 cm3
B: 523.3¯ cm3
C: 3,140 cm3
D: 4,186.6¯ cm3
Answer:
B: 523.3¯ cm3
Step-by-step explanation:
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 5^3
V = 4/3 * 3.14 * 125
V = 523.333333 cm3
find m ED
find m COB
find m AB
find m BOE
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Angles.
Angle ED = 90° - 15° ==> 75°
Angle COB = 180° - 15° ==> 165°
Angle AB ==> 15° ..( vertically opposite angles)
Angle BOE ==> 90° + 15° ==> 105°
Dorado County, which has a population of about 6,720, is divided into 4 townships. About 1/4
of Dorado County's population lives in Emerson Township, which has an area of 344 square miles. What is the population density of Emerson Township?
If necessary, round your answer to the nearest whole number.
Franco Township is also in Dorado County. Franco Township's population is about 30% greater than Emerson Township's, and its area is 512 square miles. What is the population density of Franco County?
If necessary, round your answer to the nearest whole number.
Find the volume of the triangular pyramid to the nearest whole number
Answer:
361
Step-by-step explanation:
it's 361 :)........
Create a dot plot of the data shown below. 20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24 Which measure of center would best describe a typical value of the data set? Why? would be best, because the data distribution is
The measure of center that would best describe a typical value of the data set is a mean since the values are close.
What is a measure of center?It should be noted that the measure of center include the mean, median, mode, and the mid-range.
In this case, when there is a close distribution of different numbers, he beta measurement will be the mean.
Therefore, the mean of the numbers will be:
= (20 + 21 + 21 + 25 + 20 + 23 + 27 + 23 + 24 + 25 + 26 + 24 + 23 + 22 + 24)/15
= 348/15
= 23.2
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Answer:
The mean would be best, because the data distribution is nearly symmetrical
Step-by-step explanation:
Willl mark as brainlyest. Please help!!!
Answer:
-6
Step-by-step explanation:
Based on order of operations/ pemdas
what is the median of the distribution
Answer:
The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.
Step-by-step explanation:
no
Graph the number -3/4
Given : number -3/4 - and number line
To Find : represent -3/4 - on number line
Solution:
Numbers with a negative sign are less than zero
Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.
+ sign numbers can be denoted as simply numbers
On a number line the number increases as we move to the right and decreases as we move to the left.
1 : Draw a line and mark some points at equal distance on it
Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3 and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on
- 3/4
Divide number line between -1 & 0 in 4 Equal parts and go 3 part left of 0 to show - 3/4 on number line
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Marcos walled his dog around the outside of the dog park.
The park is a rectangle 88,5 meters long and 56.2
meters wide. What is the perimeter of the park?
PLEASE HELP THIS IS AP CALCULUS IM LOSING MY MIND
A cup has the shape of a right circular cone. The height of the cup is 16 cm, and the radius of the
cm opening is 4 cm. Water is being poured into the cup at a constant rate of 3 cm. At what rate, in
cm per second, is the water level rising when the depth of the water in the cup is 6 cm? (The volume of a cone of height h and radius r is given by V=1/3pir^2h.
1. 1/64pi
2. 3/pi
3. 4/3pi
4. 9/4pi
Answer:
3. [tex]\dfrac{4}{3 \pi}[/tex]
Step-by-step explanation:
Volume of a cone:
[tex]V=\dfrac13\pi r^2h[/tex]
(where r is the radius and h is the height)
Given:
h = 16 cmr = 4 cm[tex]\implies r=\dfrac14h[/tex]
Therefore, substitute [tex]r=\frac14h[/tex] into the volume formula to find the volume of the cone in terms of h:
[tex]\implies V=\dfrac13\pi \left(\dfrac14h\right)^2h[/tex]
[tex]\implies V=\dfrac{1}{48}\pi h^3[/tex]
Differentiate with respect to h:
[tex]\implies \dfrac{dV}{dh}=3 \cdot \dfrac{1}{48} \pi h^2=\dfrac{\pi h^2}{16}[/tex]
Volume is increasing at a constant rate of 3cm/s:
[tex]\implies \dfrac{dV}{dt}=3[/tex]
Use the chain rule to find [tex]\dfrac{dh}{dt}[/tex]
[tex]\implies \dfrac{dh}{dt}=\dfrac{dV}{dt}\times\dfrac{dh}{dV}[/tex]
[tex]\implies \dfrac{dh}{dt}=3\times\dfrac{16}{\pi h^2}[/tex]
[tex]\implies \dfrac{dh}{dt}=\dfrac{48}{\pi h^2}[/tex]
When h = 6:
[tex]\implies \dfrac{dh}{dt}=\dfrac{48}{\pi \cdot 6^2}=\dfrac{4}{3 \pi}[/tex]
Find f(-2) for f(x) = 5•3^x
А. 1/45
B. -45
C.-30
D. 5/9
[tex]f(x) = 5 \cdot 3^x\\\\\\f(-2) = 5\cdot 3^{-2}\\\\~~~~~~~~~=5\cdot \dfrac 1{3^2}\\\\~~~~~~~~~=\dfrac 59\\\\\text{Hence the answer is D.}[/tex]
Two sides of a triangular field measure 11. 1 meters and 13 meters. The included angle measures 98° Find the measure of the third side to the nearest tenth of a meter
Line segment xy is dilated to create line segment x'y' using point t as the center of dilation. point t is the center of dilation. line segment x y is dilated to create shorter line segment x prime y prime. the length of t x prime is 6 and the length of t y prime is 9. the length of x x prime is 2. what is yt? 3 units 6 units 12 units 15 units
The length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles XYT and X'Y'T are similar to the AA Similarity Theorem
[tex]\dfrac{XT}{YT}=\dfrac{X'T}{Y'T}[/tex]
substitute the given values
[tex]\dfrac{8}{YT}=\dfrac{6}{9}[/tex]
[tex]YT=\dfrac{9\times 8}{6}[/tex]
[tex]YT=12\ units[/tex]
Hence the length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.
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Answer:
b
Step-by-step explanation:
took the test
125% of what number is 476?
Answer:
The answer is 380.8
Step-by-step explanation:
476 is 125% of 380.8
Answer: 380.8
Step-by-step explanation: 125 % of 380.8 is 476 . This means 380.8 is the total because in percentage what comes after the word of is the total . PLEASE GIVE BRAINLIEST .THANKS HOPE IT HELPS .
X 0 1 2 3 4
Y 2 1 0 -1 -2
Find the inner slope
[tex]\begin{array}{|c|ccccc|} \cline{1-6} x&0&1&2&3&4\\ \cline{1-6} y&2&1&0&-1&-2\\ \cline{1-6} \end{array}[/tex]
to get the slope of any straight line, we simply need two points off of it, hmm from the table let's use hmmm (2 , 0) and (4 , -2)
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{-2}{2}\implies -1[/tex]
Step-by-step explanation:
To find the slope, take 2 points from the graph. I'm going to pick (0,2) and (1,1). Whenever we find the slope this way, we need to keep this formula in mind:
[tex] \frac{y2 - y1}{x2 - x1} = slope[/tex]
So, in this case, we need to do this:
[tex] \frac{1 - 2}{1 - 0} = \frac{ - 1}{1} [/tex]
So the answer is -1.
If you need any further explanations, let me know!
Frances has $5 in her bank. She finds $0. 25 under her bed. Then she finds $0. 40 more in her pocket. How much money does Frances have in all?
Step-by-step explanation:
Add all the money
$5+ 0.25+ 0.40= $5.65