Answer:
When parallel light rays exit a concave lens, they
✔ diverge
.
When parallel light rays exit a convex lens, they
✔ converge
.
Step-by-step explanation:
The requried, parallel light rays diverge when passing through a concave lens, and converge when passing through a convex lens.
What is reformation?Refraction is the bending of light as it passes from one medium to another medium of different optical densities, such as from air to water or from air to a glass lens.
When parallel light rays exit a concave lens, they diverge as the concave lens is thinner at the center and thicker at the edges. This shape causes the light rays to bend away from the optical axis and spread apart from each other, resulting in a virtual image that is smaller than the object.
On the other hand, when parallel light rays exit a convex lens, they converge towards a focal point as the lens is thicker at the center and thinner at the edges. This shape causes the light rays to bend towards the optical axis and meet at a focal point, resulting in a real image that is inverted and can be larger or smaller than the object depending on the distance of the object from the lens.
Therefore, the behavior of parallel light rays upon exiting concave and convex lenses is quite different due to their distinct shapes and curvatures, resulting in opposite effects on the direction of light rays and the formation of images.
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The exam scores for 200 students are normally distributed with a mean of 72 and a standard deviation of 10. Which answer choice below represents the number of students with scores between 72 and 82?.
Using the normal distribution, it is found that there are 68 students with scores between 72 and 82.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 72, \sigma = 10[/tex]
The proportion of students with scores between 72 and 82 is the p-value of Z when X = 82 subtracted by the p-value of Z when X = 72.
X = 82:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{82 - 72}{10}[/tex]
Z = 1
Z = 1 has a p-value of 0.84.
X = 72:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 72}{10}[/tex]
Z = 0
Z = 0 has a p-value of 0.5.
0.84 - 0.5 = 0.34.
Out of 200 students, the number is given by:
0.34 x 200 = 68 students with scores between 72 and 82.
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Cesar’s annual homeowners insurance premium is $972.80. if his home is valued at $253,000, roughly how much is cesar paying for homeowners insurance? a. $0.13 per $100 of value b. $0.19 per $100 of value c. $0.26 per $100 of value d. $0.38 per $100 of value please select the best answer from the choices provided a b c d
If his home is valued at $253,000, roughly the amount that cesar paying for homeowners insurance is: $0.38 per $100 of value.
Homeowners insuranceUsing this formula
Homeowners insurance=Insurance premium/Total value×$100
Let plug in the formula
Homeowners insurance= $972.80/$253,000×$100
Homeowners insurance=$0.38
Therefore the amount that cesar paying for homeowners insurance is: $0.38 per $100 of value.
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Answer:
Its C
Step-by-step explanation:
(100 points! :D)Rewrite this non-statistical question as a statistical question.
"How many brothers do you have?"
l l
∴ ∴
V
Answer:
How many brothers and sisters do people in our class have?
Students might suggest that we can ask how many siblings, or they might suggest we ask how many brothers, how many sisters and how many altogether.
The idea of asking about brothers and sisters separately allows for a deeper exploration of the data and a more in depth answer to our investigative question.
Step-by-step explanation:
Cylinder with height of 5 and length of 12 what’s the volume
Answer:
okay let's start
Step-by-step explanation:
[tex]v = \pi \: r\: ^{2} h \\ h = 5 \: r = (12) \div 2 = 6 \\ v = \pi \times 6 ^{2} \times 5 \\ = 565.4866776[/tex]
Answer number 7 part B please.
Answer:
C. About twice as many voters will vote yes on proposal 7 as will vote on proposal 4. TrueStep-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧If a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered?
Answer:
perfect square trinomial methodIf a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered? Summary: If a polynomial has three terms, x2 + 12x + 36, the perfect square trinomial method can be considered to find the factor of the expression.
What is the slope of the line that passes through the points (4, 7) and (8, 9)
Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m = [tex]\frac{y{2}-y{1} }{x{2}- x{1} }[/tex] = [tex]\frac{y}{x}[/tex]
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m = [tex]\frac{8-4}{9-7}[/tex]
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
m = [tex]\frac{8-4}{9-7}[/tex] = [tex]\frac{2}{4}[/tex]
Simplify,
⇒ [tex]\frac{2}{4}=\frac{1}{2}=0.5[/tex]
Therefore, the Equation of the line is y = 0.5x + 5.
the terminal point of θ is sqrt3/2/1/2. what is sin θ?
A) sqrt 3
B) sqrt3/2
C) 1/2
D) sqrt3/3
Answer:
C: 1/2.
Step-by-step explanation:
the answer is 1/2 because I just took it and got it right.
In Jenny's bucket there are 7 brown worms and 10 red worms. Jenny is going to choose 11 worms at random from the bucket to use for fishing. What is the probability that she will choose 5 brown worms and 6 red worms? Round your answer to three decimal places.
Answer:
5/7 11/17 = 0.65
5/10
Step-by-step explanation:
Find an expression for the number in the nth term pattern of the sequence.
4 , 7 , 12, 19
Answer:
n^2 + 3.
Step-by-step explanation:
4 7 12 19
Differences are 3 5 7 so this a quadratic sequence.
2nd difference = 2 2
So the first part of the expression is n^2
Terms: 4 7 12 19
n^2 1 4 9 16
Difference = 3 3 3 3 3
So the answer is n^2 + 3.
(x+4)+(x+7)=81
leave your answer in terms of pi. what is the area in square feet?
options :
16π
81π
9π
49π
please show work.
In this article, I will show you how to find the area of a circle and express your answer in terms of pi (π). First, you'll need to familiarize yourself with the formula for calculating the area of a circle:
A = π * r²
Let's define our variables:
A: area of the circle
π: pi (a mathematical constant that is approximately equal to 3.141492 . . .)
r: radius of the circle (the distance from the circle's center point to its edge)
Typically, to find the area of a circle, we would simply plug in the circle's radius for r and 3.141592 for π. If so, our answer would be a number.
Therefore, the answer is 16π.
I would love some help
Problem
Look at the image below.
Find the area of the parallelogram.
square units
Answer:
44
Step-by-step explanation:
base(b) = 11, height(h) = 8, Area of parallelogram = ? We know that, Area of parallelogram = 1/2 × b× h = 1/2 × 11 × 8 = 11 × 4 = 44 square units
The answer is 88
11x8 = 88 base times height !!!!
Curtis can unload a truckload of hay in 30
minutes, but it takes Ronnie 40 minutes to do
the same. Working together, how many minutes
will it take them to unload 35 truckloads of
hay?
Answer:
600 minutes ( 10 hours)
Step-by-step explanation:
rate c = 1 job/30 min
rate r = 1 job/40 mi
1 job / ( 1/30 + 1/40) = 1 / ( 7/120) = 17.14 minutes per ruckload
17.14 * 35 trucks = 600 minutes
If the area of a
parallelogram is 36
ftl
what are some possible
height & base
measurements?
Answer:
Take the base of the parallelogram to be 40 cm. 1,200 sine (36) = 40 * h. Divide both sides by 40. So, the height of the parallelogram is 17.63 cm.
Step-by-step explanation:
please help with the following question and explain in detail
The probability that Ben does the math homework is 0.33 and the probability that he does the English homework is 0.25.
What is a probability tree?A probability tree is a term that refers to a tool used in calculus to graphically represent the possible outcomes of a situation.
What are the chances that Ben will do his homework?To calculate the probability that Ben will do his tasks, we perform the fraction that describes each of them as shown below:
Probability that he does the math homework: = 0.33 Probability that he will not do the math homework = 0.66Probability that he does the English homework = 0.25Probability that he will not do the English homework = 0.75Learn more about probability in: https://brainly.com/question/11234923
A rectangular prism has a surface area of 268 square centimeters. If the length is 8 cm and the width is 10 cm, what is the height of the prism?
Will mark brainlyest!!
Answer:
3cm, is correct.
use the surface area formula
Is the data set approximately periodic? If so, what are its period and amplitude?
Considering the given table and the periodicity concept, it is found that the data set is not periodic.
What is the period of a data-set?The period of a function is given by the distance between it's repetitions.
An example of a periodic data-set with a period of 3 would be 1,2,3,1,2,3,1,2,3,...
In this problem, looking at the table, it is found that there are no patterns of repetitions, that is, the number of cars washed do not follow a repeated pattern, hence the data set is not periodic.
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Use the formula for simple interest. A=(p)(r)(t) remember, a refers to the interest accrued. Calculate the total interest tom would pay, in addition to paying back his $9,000 in principal. $970 $1,970 $2,970 $3,970
Answer:
2,970$
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A) These polygons are similar. Determine the values of x° and y°.
0.5757… as a fraction
Answer:
Your answer is [tex]\frac{19}{33}[/tex]
Step-by-step explanation:
That is kind of hard. I have used the internet to help create that repeating decimal to a fraction and got that as your answer.
Answer:
19/33
Step-by-step explanation:
There are two repeating decimals so divide 57 (repeating part)... by 100x minus x
57/100x -x
57/100x - x = 0
100x - x = 57
99x=57
x=57/99
Simplify:
x = 19/33
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Ryan used 50 apples to make several pies. He put the same number of apples in each pie. He had 1 apple left over. How many pies did he make ?
Answer:
7
Step-by-step explanation:
50-1 = 49
Since all pies must have the same amount of apples, we can do √49 and get 7, meaning there are 7 pies with 7 apples each.
Answer: 7
Step-by-step explanation: of he had 1 apple left, he used 49 Apples.
if he used sane number of apple in each pie, we can use square root of 49 which is 7
Under his cell phone plan, Oliver pays a flat cost of $49 per month and $5 per gigabyte. He wants to keep his bill at $73.50 per month. How many gigabytes of data can he use while staying within his budget?
He must consume only 4.9 gigabytes to maintain his bill at $73.50 per month.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to the question,
Oliver pays a flat cost of $49 per month and $5 per gigabyte.
Let the number of gigabytes he consumes be x,
He wants to keep his bill at $73.50 per month. So,
49 + 5x = 73.50
5x = 73.50 - 49
x = 24.5/5
x = 4.9
He must not consume less or more than 4.9 gigabytes to maintain his bill at $73.50 per month.
Thus, he must consume only 4.9 gigabytes to maintain his bill at $73.50 per month.
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Calculate the relative frequency of the penny landing on tails.
Answer:
1/2.
Step-by-step explanation:
There are 2 possible outcomes when you toss a penny = tails or heads. Landing a tail is 1 outcome.
Sp the relative frequence of a tail = 1/2.
Determine the equation of the circle graphed below.
1. Which is the scale factor that will carry the smaller triangle to the larger for the similar triangles ABC and DEF shown below?
A. scale factor = 6/5
B. scale factor = 5/4
C. scale factor = 3/2
D. scale factor = 4/3
Answer:
you answer is B. scale factor = 5/4
Answer:
B
Step-by-step explanation:
24.5 ÷ 18.375 = 5/4
23 ÷ 17.25 = 5/4
a lightbulb manufacturer produces 20,000 lightbulbs each week. they ship the lightbulbs to stores in cartons of 75. how many cartons are needs to ship 20,000 lightbulbs.
Answer:
267
Step-by-step explanation:
20,000/75= 266.666666
round up to 267
Can anyone help me out? :)
I’ll give 15 points for first correct answer!
What is the volume of the cone? Estimate using 3.14 for pi, and round to the nearest tenth.
Answer:
my guess is 1?
Step-by-step explanation:
I just guess
omg help please im begging 
Step-by-step explanation:
The cost of one song is 2.56/2
= 1.28
x <-2 and x < -5
Rsm question
Answer:
-6, -7, although if you can select everything under -5 but not containing it select that
Step-by-step explanation:
Everything less than -5