Answer:
sin(-60)
Step-by-step explanation:
its in form of sin(A-B) which formula is SinA.CosB-CosAsinB
Weights measured in grams of randomly selected M&M plain candies:
0.957 0.912 0.925 0.886 0.920 0.958 0.915 0.914 0.947 0.939 0.842
What is the range of weights of the middle 99.7% of M&M’s?
(round to the ten thousandths place)
Answer:
The range of weights of the middle 99.7% of M&M’s is between 0.8187 and 1.0203.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Sample mean:
[tex]\overline{x} = \frac{0.957 + 0.912 + 0.925 + 0.886 + 0.920 + 0.958 + 0.915 + 0.914 + 0.947 + 0.939 + 0.842}{11} = 0.9195[/tex]
Sample standard deviation:
[tex]s = \sqrt{\frac{(0.957-0.9195)^2 + (0.912-0.9195)^2 + (0.925-0.9195)^2 + (0.886-0.9195)^2 + ...}{10}} = 0.0336[/tex]
What is the range of weights of the middle 99.7% of M&M’s?
By the Empirical Rule, within 3 standard deviations of the mean, so:
0.9195 - 3*0.0336 = 0.8187.
0.9195 + 3*0.0336 = 1.0203.
The range of weights of the middle 99.7% of M&M’s is between 0.8187 and 1.0203.
In a game where only one player can win, the probability that Jack will win is 1/7 and the probability that Bill will win is 1/2. Find the probability that one of them will win. (Enter your probability as a fraction.)
The probability that one of them will win will be 9/14.
Since the probability that Jack will win is 1/7 and the probability that Bill will win is 1/2, then the probability that one of them will win will be:
= 1/7 + 1/2
= 7/14 + 2/14
= 9/14
Therefore, the probability that one of them will win will be 9/14.
Read related link on:
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if the two linear functions are represented two different forms the _____ is used to compare the steepness of the two functions>
Answer:
Slope
Step-by-step explanation:
Given
The above statement
Required
What compares the steep of linear functions
Literally, steepness means slope.
So, when the slope of the two linear functions are calculated, we can make comparison between the calculated slopes to determine which of the functions is steeper or less steep.
Also:
Higher slope means steeper line
e.g.
4 is steeper than 1
Which expression is equal to 52√13√?
26√13
65√2
526√13
526√13√
Answer:
26√13
Step-by-step explanation:
I need help solving a problem, can u help me ?
Which statement is true about the expression 12- 7 + 3?
Answer:
I don't see any statements here.
Anyway, the answer is 8.
[tex]12 - 7 + 3 = 8[/tex]
A line contains the points R (-1, 8) S (1, 4) and T (6, y). Solve for y. Be sure to show and explain all work.
Given:
A line contains the points R(-1, 8), S(1, 4) and T(6, y).
To find:
The value of y.
Solution:
Three points are collinear if:
[tex]x_1(y_2-y_3)+x_2(y_3-y_2)+x_3(y_1-y_2)=0[/tex]
A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.
[tex]-1(4-y)+1(y-8)+6(8-4)=0[/tex]
[tex]-4+y+y-8+48-24=0[/tex]
[tex]2y+12=0[/tex]
Subtract 12 from both sides.
[tex]2y=-12[/tex]
Divide both sides by 2.
[tex]y=\dfrac{-12}{2}[/tex]
[tex]y=-6[/tex]
Therefore, the value of y is -6.
Answer: The guy above me is right
Step-by-step explanation: I took the test and got it right
To make a committee 4 men are chosen out of 6 candidates. What is the probability that 2 certain people will serve on that committee
Answer:
The probability that 2 certain people will serve on that committee is 11.11%.
Step-by-step explanation:
Since to make a committee 4 men are chosen out of 6 candidates, to determine what is the probability that 2 certain people will serve on that committee the following calculation must be performed:
4/6 = 2/3
1/3 x 1/3 = X
0.333 x 0.333 = X
0.1111 = X
Therefore, the probability that 2 certain people will serve on that committee is 11.11%.
Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
6 groups, and 4 certain people
6
C
4
[tex]\frac{6!}{(6-2)!(2!)}[/tex]
1 × 2 × 3 × 4 × 5 × 6/1 × 2 × 3 × 4 × 1 × 2
1 × 2 × 3 × 4 × 5 × 6/1 × 2 × 3 × 4 × 1 × 2
5 × 6/ 1 × 2
30/2 = 15
15 possible combinations
4 people, and 2 specific ones
4
C
2
[tex]\frac{4!}{(4-2)!(2!)}[/tex]
1 × 2 × 3 × 4/1 × 2 × 1 × 2
1 × 2 × 3 × 4/1 × 2 × 1 × 2
12/2 = 6
[tex]\frac{6}{15}=\frac{\frac{6}{3} }{\frac{15}{3} } =\frac{2}{5}[/tex]
Help please. There’s a 4th option just couldn’t fit it in the photo
Answer:
Line A
Step-by-step explanation:
graph it
Help on this math question please
Answer:
3x² + x + 1
-3x² + x + 1
-54
Step-by-step explanation:
there is nothing complicated to it. you just use the requested pertain on the whole expressions of the functions, and the result is then the new function.
so,
r(x) = 3x²
s(x) = x + 1
what do you think s + r is ?
it is simply
(s+r)(x) = 3x² + x + 1
done. that is really all there is to this.
now the next (but consider the sequence due to the sign)
(s-r)(x) = x + 1 - 3x² = -3x² + x + 1
and the third
(s×r)(x) = 3x²(x+1) = 3x³ + 3x²
so, for x=-3
(s×r)(-3) = 3×(-3)³ + 3×(-3)²
remember, an even power of a negative number gives a positive result, an uneven power of a negative number gives a negative result.
(s×r)(x) = 3×-27 + 3×9 = -81 + 27 = -54
The the intensity I of light (in lumens) in a certain lake at a depth of x feet is given by log(1/12) = -0.00235x. What is the intensity of the light (in lumens) at a depth of 20 feet? Round your answer to the nearest hundredth and label 1 your answer.
Answer:
11.45 lumens
Step-by-step explanation:
We are given that
[tex]log(I/12)=-0.00235x[/tex]
Where x=Depth
I=Intensity of light
We have to find the intensity of the light at a depth of 20 feet.
Substitute the value of x
[tex]log(I/12)=-0.00235\times 20[/tex]
[tex]log(I/12)=-0.047[/tex]
[tex]\frac{I}{12}=e^{-0.047}[/tex]
[tex]I=12e^{-0.047}[/tex]
[tex]I=11.45 Lumens[/tex]
Hence, the intensity of the light (in lumens) at a depth of 20 feet=11.45 lumens
On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the x-axis at (1, 0).
What is the domain of the function on the graph?
Answer:
Option D
Step-by-step explanation:
correct answer on edge :)
Answer:
D <3
Step-by-step explanation:
Question 4 of 10
If A = (-1,-3) and B = (11,-8), what is the length of AB?
A. 12 units
B. 11 units
C. 14 units
D. 13 units
SUBMIT
Step-by-step explanation:
AB = square root of [(xA-xB)^2+(yA-yB)^2]
AB=Squarerootof(-1-11)^2 +(-3-(-8))^2=Squarerootof(-12)^2+(5)^2)
AB=Squarerootof((144)+25)= Squarerootof(169)=13 the answer is 13 units
The choice D is the right one
Tara created a 1 inch cube out of paper.
1 in
If she doubles the volume of her cube, which statement could be true?
A Tara added two inches to the height, length and width of the cube.
B Tara added two inches to the height of the cube.
C Tara doubled the measurements of the cube's height, length and width.
D Tara doubled the measurement of the cube's height.
Answer:
answer D
Step-by-step explanation:
V=L*W*H=1 ==> L=1,W=1,H=1
A:
L-> L+2=1+2=3
W -> W+2 = 1+2=3
H -> H+2=1+2=3
V=3*3*3=27 not the doubled of the volume's cube
A is false
B:
H -> H+2=1+2=3
V=1*1*3=3 not the doubled of the volume's cube
B is false
C:
H -> 2*H=2*1=2
L -> 2*L=2*1=2
W -> 2*W = 2*1=2
V=2*2*2=8 not the doubled of the volume's cube
C is false
D:
H-> H*2=1*2=2
L=1
W=1
V=1*1*2=2 is the doubled of the volume's cube
D is true
The mode of 3 numbers is 6 and the
range is 4. Write down a possible set of
numbers.
Answer:
solution,
mode of 3 numbers is 6
range is 4
possible set of numbers are
{3,4,6,{} }
A random sample of medical files is used to estimate the proportion p of all people who have blood type B. (a) If you have no pre-liminary estimate for p, how many medical files should you include in a random sample in order to be 90% sure that the point estimate will be within a distance of 0.03 from p?(b) Answer part (a) if you use the pre-liminary estimate that about 13 out of 90 people have blood type B.
Answer:
a) 752 medical files should be included.
b) 372 medical files should be included.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Question a:
This is n for which M = 0.03. We have no estimate, so we use [tex]\pi = 0.5[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645*0.5[/tex]
[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]
[tex]n = 751.67[/tex]
Rounding up:
752 medical files should be included.
Question b:
Now we have that:
[tex]\pi = \frac{13}{90} = 0.1444[/tex]
So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.1444*0.8556}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.1444*0.8556}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.1444*0.8556}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.1444*0.8556}}{0.03})^2[/tex]
[tex]n = 371.5[/tex]
Rounding up:
372 medical files should be included.
Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at random and without replacement from the box and note the two numbers observed. The sample space S consists of the three equally likely outcomes {(1, 2), (1, 3), (2, 3)} (disregarding order). Let X be the sum of the two balls selected. What is the mean of X
Step-by-step explanation:
a) X is a discrete uniform distribution. As the number of outcomes is only 3.
b) sum is at least 4
X ≥ 4--------
i.e (1,3) or (2,3)
probability of X ≥ 4 is 2/3
2/3= 0.667
66.7 % is the probability of the outcome to have a sum at least 4.
c) The 3 likely outcome of X
(1,2) where X ; 1+2=3
(1,3) where X ; 1+3=4
(2,3) where X ; 2+3=5
Mean = 3+4+5/ 3
Mean = 4
Feel free to ask any uncleared step
What number can go in the box to make the number sentence true?
6 + 0 = 10
0.
4.
6.
10.
Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y=2/3x - 2
Answer: The image shown in your question as well as the one I provided is the correct answer
Step-by-step explanation:
a line with a slope of 2/3 must mean that the "m" is 2/3
y = mx + b
y = 2/3x + b
The question calls for the y-intercept to be equal to that of y=2/3x - 2
using the given equation, we easily figure out -2 is the y-intercept
so the line must go through (0,-2).
Which expression is equivalent to 3(x - y) + y? 3x - 4y 3x - 3y 3x - 2y 3(x - 2y)
9514 1404 393
Answer:
(c) 3x - 2y
Step-by-step explanation:
Use the distributive property to eliminate parentheses, then collect terms.
3(x -y) +y = 3x -3y +y = 3x +(-3+1)y = 3x -2y
Now we have to find,
The expression which is equivalent to,
→ 3(x - y) + y
Let's get the solution,
→ 3(x - y) + y
→ 3x - 3y + y
→ 3x - 2y
Hence, required expression is 3x - 2y.
Find the size of unknown angles
Step-by-step explanation:
2x+3x+x+20=180
6x+20=180
6x=160
x=160/6
x=26.667
Answer:
2X=53.2 , 3X=79.8 , X+20=46.6
Step-by-step explanation:
3X+2X+X+20=180
therefore,
6X+20=180
6X =180-20
6X =160
X = 160 over 6
X =26.6
now,
3X = 26.6 x3
=79.8
2X =26.6 x2
=53.20
X+20 =26.6+20
=46.6
Im not sure if it's right. Because the total does not make 180 degrees.
18. Which of the following is true for a circle that has a circumference of approximately 75 feet?
O The diameter is approximately 12 feet.
O The radius is approximately 12 feet.
O The radius is approximately 12 square feet.
O The diameter is approximately 12 square feet.
Answer:
A) The diameter is approximately 12 feet.
Step-by-step explanation:
C= piD
sq ft would be wrong bc this is not talking ab area
Fraces bonitas para decirle a tu nv?
minimo 6
Answer:
it's. is now the MA plz I miss you
si pudiera escoger entre vivir eternamente y vivir dos veces
yo escogeria vivir dos veces porque vivir una vida eterna sin ti a mi lado seria el mayor sufrimiento, ahora vivir dos veces me dejaria tranquilo porque despues del final de mi vida podria volver a encontrarme contigo y vivir todos los momentos bellos una vez mas y eso seria un sueño volviendose realidad
i need help. i will give brainiest as soon as possible
Answer:
B
Step-by-step explanation:
Let me know if you need an explanation.
Answer:
B
Step-by-step explanation:
4x^3+x^2+5x+2
4x^3 cannot cancel with others= 4x^3
4x^2-3x^2= x^2
5x cannot cancel with others= 5x
-3+5= 2
4x^3+x^2+5x+2
Jerry tosses a coin 17 times and makes one step forward with each toss. However, he makes three more steps forward if he gets heads. If he made 62 steps forward, how many heads did he get?
Help if possible pls
Answer: Oh heaven nah
Step-by-step explanation: Lord have mercy
In June, an investor purchased 300 shares of Oracle (an information technology company) stock at $53 per share. In August, she purchased an additional 400 shares at $42 per share. In November, she purchased an additional 400 shares at $45. What is the weighted mean price per share? (Round your answer to 2 decimal places.)
Answer: The mean price per share is $22.91
The required weighted mean price per share is $46.09.
Given that,
In June, an investor purchased 300 shares of Oracle (an information technology company) stock at $53 per share. In August, she purchased an additional 400 shares at $42 per share. In November, she purchased an additional 400 shares at $45.
To determine the weighted mean price per share.
The average of the values is the ratio of the total sum of values to the number of values.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Required weight mean = 300 * 53 + 400*42 + 400 * 42 / [300 + 400 + 400]
Required weight mean = 50700/ [1100]
Required weight mean = $46.09 per share.
Thus, the required weighted mean price per share is $46.09.
Learn more about mean here:
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Which of these is an example of a continuous random variable?
A. Number of flights leaving an airport
B. Pieces of mail in your mailbox
C. Attendance at a sporting event
D. Time to run a race
Answer:
continues means that can be written in decimal like weight,height, distance(5.44km)
I think its D. is time decimal? Gods plan.
Which point is a solution to y equal greater than or less too
4x + 5?
Answer:
4x+ 4
Step-by-step explanation:
Which of the following displays cannot be used to compare data from two different sets?
Answer:
Scatter plot charts are good for relationships and distributions, but pie charts should be used only for simple compositions — never for comparisons or distributions.
