Answers
Answer:
Refraction is what happens when light passes through some medium and changes it's direction because of it. For instance, when light travels through a lens light is bent as it goes from air to glass and back to air again. :)
Related Questions
Use x=1 to identify the value of each expression.
Answers
Answer:
[tex] {9}^{1} = 9 \\ {3}^{1} = 3 \\ {1}^{3} = 1[/tex]
Suppose a basketball team had a season of games with the following characteristics: Of all the games, 60% were at-home games. Denote this by H (the remaining were away games). Of all the games, 25% were wins. Denote this by W (the remaining were losses). Of all the games, 20% were at-home wins. Of the at-home games, we are interested in finding what proportion were wins. Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?A. P(H)B. P(W)C. P(H and W)D. P(H | W)E. P(W | H)
Answers
Answer:
E. P(W | H)
Step-by-step explanation:
What each of these probabilities mean:
P(H): Probability of the game being at home
P(W): Probability of the game being a win.
P(H and W): Probability of the game being at home and being a win.
P(H|W): Probability of a win being at home.
P(W|H): Probability of winning a home game.
Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?
This is the probability of winning a home game. So the answer is:
E. P(W | H)
The public radio show "A Prairie Home Companion," features news from the fictional town of Lake Wobegon, MN, home to many Norwegian bachelor farmers, and where "all the women are strong, all the men are good looking, and all the children are above average." Suppose average means average for the town. Such a town could not possibly exist, because (select all that apply)
a. not all women are strong
b. not all the children can be above average
c. not all Norwegian bachelor farmers are good looking
d. half the children must be below average
Answers
Answer:
b. not all the children can be above average
d. half the children must be below average
Step-by-step explanation:
In theory, all women could be strong and all men could be good looking, however, since the average is calculated based on the town children, it is not possible for all children to be above average.
Assuming a normal distribution, half the children must be at or below average, while the other half must be at or above the average.
Therefore, the correct answers are:
b. not all the children can be above average
d. half the children must be below average
Answer:
Second and last options are correct choices.
Step-by-step explanation:
If all the children are above average, then the average should not include the average of the children. Because it is impossible for a data set to be have values greater than it's average.
Best Regards!
Find the radius of the cylinder when volume is 304 cm^3 and height is 10 cm
Answers
Answer:
3.11 cmsolution,
Volume of cylinder=304 cm^3
height=10 cm
Radius=?
Now,
[tex]volume = \pi {r}^{2} h \\ or \: 304 = 3.14 \times {r}^{2} \times 10 \\ or \: 304 = 31.4 \times {r}^{2} \\ or \: {r}^{2} = \frac{304}{31.4} \\ or \: {r}^{2} = 9.68 \\ or \: r = \sqrt{9.68} \\ or \: r = \sqrt{ {(3.11)}^{2} } \\ r = 3.11 \: cm[/tex]
Hope this helps..
Good luck on your assignment..
Draw a graph of f(x) =3^-x+3
Answers
Answer:
Use a graphing calc or desmos
Step-by-step explanation:
If this procedure is repeated 100 times, what is the probability that the number of times that the coin lands tails will be less than 40
Answers
Answer:
1.79% probability that the number of times that the coin lands tails will be less than 40
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Fair coin:
Equally as likely to be heads or tails, so [tex]p = 0.5[/tex]
100 times
[tex]n = 100[/tex]
Then
[tex]\mu = E(X) = np = 100*0.5 = 50[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.5*0.5} = 5[/tex]
What is the probability that the number of times that the coin lands tails will be less than 40
Using continuity correction, this is [tex]P(X < 40 - 0.5) = P(X < 39.5)[/tex], which is the pvalue of Z when X = 39.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39.5 - 50}{5}[/tex]
[tex]Z = -2.1[/tex]
[tex]Z = -2.1[/tex] has a pvalue of 0.0179
1.79% probability that the number of times that the coin lands tails will be less than 40
Beverly drove from the Atlantic City to New York she drove 284 miles at a constant speed of 58 mph how long did it take Beverly to complete the trip
Answers
Answer:
4.9 hours = 4 hours 54 minutes
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (284 miles)/(58 mph) = 4.9 hours
4.9 hours - 4 hours = 0.9 hours
0.9 hours * (60 minutes)/(1 hour) = 54 minutes
4.9 hours = 4 hours 54 minutes
The relative frequency distribution of the number of phobias reported by a hypothetical sample of 500 college students is given as follows.
0–2 0.48
3–5 0.26
6–8 0.12
9–11 0.09
12–14 0.05
Required:
a. What is the probability that a college student expresses fewer than three phobias?
b. What is the probability that a college student expresses more than eight phobias?
c. What is the probability that a college student has between 3 and 11 phobias?
Answers
Answer:
a. 0.48
b. 0.14
c. 0.47
Step-by-step explanation:
Data provided in the question
0 - 2 0.48
3 - 5 0.26
6 - 8 0.12
9- 11 0.09
12- 14 0.05
Based on the above information
a. The probability for fewer than three phobias is
= P( x < 3)
= 0.48
b. The probability for more than eight phobias is
= P( x >8)
= 0.09 + 0.05
= 0.14
c. Probability between 3 and 11 phobias is
= P(3 < x < 11)
= 0.26 + 0.12 + 0.09
= 0.47
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution.
Answers
Answer:
x=½
y=5
Step-by-step explanation:
(8x+7y=39)2
16x+14y=78
4x-14y=-68 add the two equations
20x=10.
divide both sides by 20
x=½
8x+7y=39
4+7y=39
7y=39-4
7y=35
y=5
The value of x and y in the system of equation using elimination method is 1 / 2and 5 respectively.
8x + 7y = 39
4x – 14y = –68
Multiply the first equation to enable the elimination of the y-term:Multiply by 2
16x + 14y = 78
Add the equations to eliminate the y-terms:-14y + 14y = 0
4x + 16x = 20x
-68 + 78 = 10
Solve the new equation for the x-value20x = 10
x = 1 / 2
Substitute the x-value back into either original equation to find the y-value8(1 / 2) + 7y = 39
4 + 7y = 39
7y = 35
y = 35 / 7
y = 5
learn more on system of equation here: https://brainly.com/question/3861421?referrer=searchResults
A taxi charges a flat rate of $3.00 plus $1.50 per mile. If Xander has $45.00, which inequality represents m, the distances in miles he can travel in the taxi? m less-than-or-equal-to 10 m greater-than-or-equal-to 10 m less-than-or-equal-to 28 m greater-than-or-equal-to 28
Answers
Answer:
m less-than-or-equal-to 28
Step-by-step explanation:
Xander's charge for m miles will be (3 +1.50m). He wants this to be no more than $45, so ...
3 +1.50m ≤ 45
1.50m ≤ 42 . . . . . . subtract 3
m ≤ 28 . . . . . . . . . .divide by 1.5
Answer: M is less than or equal to 28 or C
Step-by-step explanation:
GOT RIGHT ON E D G
A right triangle has two shorter sides that differ in length by 7cm. The length of the
hypotenuse is 8 cm longer than the shortest side. Find the lengths of the three sides.
Show all of your steps.
Pls help!!! 75 points
Answers
Answer:
a = 5
b = 12
c = 13
Step-by-step explanation:
a^2+b^2=c^2
b-a=7(b=a+7)
c=a+8
Then, substitute
a^2+((a+7)*(a+7))=c^2
a^2+a^2+7a+7a+49=c^2
2a^2+14a+49=c^2
Because c = a+8
2a^2+14a+49=(a+8)(a+8)
2a^2+14a+49=a^2+16a+64
a^2-2a=15
a^2-2a-15=0
(a-5)(a+3)=0
a = 5,-3
a = 5(a side cannot be negative)
Plug in a=5 to the other equations to get
a = 5, b = 12, c = 13
Hope it helps <3
Answer:
The lengths of the sides are 5, 12, 13.
Step-by-step explanation:
In a right triangle, the two shorter sides are the legs. The longest side is the hypotenuse.
Let the shorter leg = x.
The longer leg is 7 cm longer, so its length is x + 7.
The length of the hypotenuse is 8 cm longer than the shorter leg, so its length is x + 8.
The lengths are:
x, x + 7, x + 8
Since the triangle is a right triangle, we can use the Pythagorean theorem.
a^2 + b^2 = c^2
x^2 + (x + 7)^2 = (x + 8)^2
Square the trinomials.
x^2 + x^2 + 14x + 49 = x^2 + 16x + 64
Combine like terms and place them all on the left side equaling zero.
x^2 - 2x - 15 = 0
Factor the left side.
(x - 5)(x + 3) = 0
x - 5 = 0 or x + 3 = 0
x = 5 or x = -3
Since the length of a side of a triangle cannot be negative, we discard the solution x = -3.
x = 5
x + 7 = 5 + 7 = 12
x + 8 = 5 + 8 = 13
Answer: The lengths of the sides are 5, 12, 13.
What is the equation of the line ( -4,8 ) ( 0,0 )
Answers
Answer:
Step-by-step explanation:
First you need to find the slope of the line that contains those 2 points.
[tex]m=\frac{0-8}{0-(-4)}=\frac{-8}{4}=-2[/tex]
So the slope is -2. Now we can pick one of those points and sub it into the point-slope formula to find the equation:
y - 0 = -2(x - 0) gives us an equation of
y = -2x
Let g be the function defined by g(x) = − 1 2 x + 5 if x < 6 x − 6 if x ≥ 6. Find g(−6), g(0), g(6), and g(12). g(−6) = g(0) = g(6) = g(12) =
Answers
Answer:
g(-6) = 8; g(0) = 5; g(6) = 0; g(12) = 6
Step-by-step explanation:
We assume your function definition is ...
[tex]g(x)=\left\{\begin{array}{ccc}-\dfrac{1}{2}x+5&\text{for}&x<6\\x-6&\text{for}&x\ge 6\end{array}\right.[/tex]
For each given value of x, determine which segment applies, then evaluate.
For x = -6 and for x = 0, the first segment applies:
g(-6) = (-1/2)(-6) +5 = 3 +5 = 8
g(0) = (-1/2)(0) +5 = 5
For x = 6 and x = 12, the second segment applies:
g(6) = (6) -6 = 0
g(12) = (12) -6 = 6
In summary, ...
g(-6) = 8; g(0) = 5; g(6) = 0; g(12) = 6
rounded to the nearest whole, what is the radius length if minor arcYZ = 12 and angleYXZ is one-third of a full circle? (i guessed it idk if it’s right)
Answers
Answer:
Option (1)
Step-by-step explanation:
Since the length of arc YZ = 12 units
m∠YXZ = one third of the full circle = [tex]\frac{360}{3}[/tex] = 120°
From the formula of arc length,
Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Where θ = Central angle subtended by the arc
r = radius of the circle
By substituting these values in the formula,
12 = [tex]\frac{120}{360}(2\pi r)[/tex]
12 = [tex]\frac{2}{3}\pi r[/tex]
[tex]18=\pi r[/tex]
r = [tex]\frac{18}{\pi }[/tex]
r = 5.73
r ≈ 6 units
Therefore, Option (1) will be the answer.
PLEASE HELP!!!!!! Find common difference
Answers
Answer:
d = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference , thus
a₇ = a₁ + 6d
a₄ = a₁ + 3d
Given a₇ - 2a₄ = 1 , then
a₁ + 6d - 2(a₁ + 3d) = 1, that is
a₁ + 6d - 2a₁ - 6d = 1
- a₁ = 1 ( multiply both sides by - 1 )
a₁ = - 1
Given a₃ = 0 , then
a₁ + 2d = 0 , thus
- 1 + 2d = 0 ( add 1 to both sides )
2d = 1 ( divide both sides by 2 )
d = [tex]\frac{1}{2}[/tex]
Hurrryy!!!
What is the value of x in the solution to the system of linear equations?
y=3x+2
y=x-4
O-7
O-3
0 1
O 5
Answers
Answer:
-3
Step-by-step explanation:
I'm not sure what the 0s are all about, but I can help with the equation;
To do this, we can do substitution. By equaling x-4 to 3x+2, we get
x-4=3x+2
By isolating the x, we get
-2x=6
x=-3
Hope this helped!
Elif is arranging 28 chairs in rows in a room. Each row must be the same
length. The room is wide enough to make a row of 9 chairs, but no more
The room is deep enough to make 8 rows, but no more. What are the
possible numbers of rows and chairs in each row that Elif can make?
Answers
Answer:
Hey there!
Elif can only arrange the chairs like: 4 by 7, and 7 by 4.
Hope this helps :)
What is the slope of the line between (−4, 4) and (−1, −2)?
Answers
Answer:
-2
Step-by-step explanation:
The slope of a line is
m = (y2-y1)/(x2-x1)
= (-2 -4)/(-1 - -4)
= -6/ ( -1 +4)
= -6 /3
=-2
Answer:
[tex]= - 2 \\ [/tex]
Step-by-step explanation:
[tex]( - 4 \: \: \: \: \: \: \: \: \: \: \: 4) = > (x1 \: \: \: \: \: \: y1) \\ ( - 1 \: \: \: \: - 2) = > (x2 \: \: \: \: \: \: y2)[/tex]
Now let's find the slope
[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{4 - ( - 2)}{ - 4 - ( - 1)} \\ = \frac{4 + 2}{ - 4 + 1} \\ = \frac{6}{ - 3} \\ = - 2[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
You and 3 of your friends decide to sell lemonade around town, and then split the money you make evenly. You decide to sell each cup of lemonade for 50 cents. In total, you all sell 120 cups of lemonade. How much money will each of you earn? Write an expression for the problem too.
Expression:
Answers
Answer:
$15
Step-by-step explanation:
Each cup is 50 cents which is basically $0.50
Multiply $0.50 by 120= $60
Because you and your three friends equal 4 total people,
divide 60 by 4 to get your own profit:
60/4=15
what is the solution set of y= x^2+2x+7 and y= x+7 ?
Answers
Answer:
(-1, 6)
(0, 7)
Step-by-step explanation:
Easiest and fastest way to do this is to graph both equations and analyze the graph for when they intersect each other.
The confidence interval on estimating the heights of students is given as (5.4, 6.8). Find the sample mean of the confidence interval.
Answers
Answer:
The sample mean is 6.1
Step-by-step explanation:
Margin of Error (E) = (upper limit - lower limit)/2 = (6.8 - 5.4)/2 = 1.4/2 = 0.7
Sample mean = lower limit + E = 5.4 + 0.7 = 6.1
Pleaseeeeeee helppppppp
Answers
Answer:
[tex]\boxed{Option \ D}[/tex]
Step-by-step explanation:
The combination of a rational number (3) and an irrational no. ([tex]4i[/tex]) is called a complex number.
So,
[tex]3+4i[/tex] is a complex no.
Answer:
D. Complex number.
Step-by-step explanation:
This number is not irrational, since 3 is rational.
The number is not entirely rational, since 4i is irrational.
The number is not real because i is not real.
So, the number is a Complex number, since it includes both real and nonreal numbers.
Hope this helps!
What is the measure of C?
Answers
Answer:
C.) 60°
Step-by-step explanation:
The triangle is an equilateral triangle. So that means that all the angles measure the same. And we have to remember that a triangle always equals 180°
So, to find out the measure of an angle. We must divide 180 by 3. Which is 60
=60°
Hope this helps you out! : )
In a 2-card hand, what is the probability of holding only face cards?
Answers
Answer:
12
Step-by-step explanation:
( J , Q, K 4 each)
so prob that for 2 cards, both cards are face
= C(12,2)/C(52,2) = 66/1326 = 11/221
what is the length of ac? a)96 b)132 c)72 d)136
Answers
Answer:
show a picture
Step-by-step explanation:
3. What is the explicit formula for the arithmetic sequence 2, 7, 12, 17, ...?
Answers
Step-by-step explanation:
The given sequences are;
2,7,12,17......
difference =5
by using formula,
we get,
tn=a+(n-1)d
tn= 2+(n-1)5
Therefore, tn is 5n-3 is required formula for this arithmetic sequences.
Hope it helps....
Teresa is investigating if grade level has any effect on time spent studying. What is the response variable?
Answers
Answer:
The time spent studying is the response variable.
Step-by-step explanation:
The response variable, also known as the dependent variable is the main question which the experiment wants to provide an answer for. Usually, the predictors determine or affect the response variable. In the study where Teresa investigates the effect of grade level on time spent studying, the response variable is the time spent studying, while the predictor which is the grade level provides an explanation as to the time spent studying.
The changes or variations on time spent studying depends on the grade level. This means that the grade level provides an explanation of the length of time dedicated to studying.
Select all numbers that are in the range.
-3
-2
-1
0
1
2
Answers
-2
0
2
Answered on edge
Answer:
-2, 0, 2
Step-by-step explanation:
edge 2020
Solve 56000(1+1.8%)^5
Answers
Answer:
The solution to this expression is 61,224.74
Step-by-step explanation:
To solve we initially have to convert the percentage to a decimal:
[tex]1.8\% = \frac{1.8}{100} = 0.018[/tex]
So
56000*(1+1.8%)^5 = 56000(1+0.018)^5 = 56000(1.018)^5 = 61,224.74
The solution to this expression is 61,224.74
Karen, Pete, Rose, and David are comparing their solutions to a homework problem below.
(+ + 8
(-2)
1
Select the student who correctly subtracted the rational expressions,
Karen:
Pete:
+ 8 - 7
2
2)
5
(1 + 8)(x + 5) - 7
(1 - 2)(+ 5)
12 + 135 + 40 - 77 + 14
2 + 3x - 10
1? +61 + 54
12 + 91 - 10
Rose:
David:
(1 + 5
(1 + 8)
(r
+3+*5
(+216-6= x2 + 35 – 10
1 + 1
x2 + 3x - 10
7: + 8) + (x - 2)(= + 5)
7(: - 2)
II
75 + 8 + 12 + 91 - 10
78 14
2 + 101 - 2
70 - 14
Answers
Answer:pete
Step-by-step explanation: