Answer:
The intensity of the light is inversely proportional to the square of the distance from the source of light. Therefore, in this situation, where one light source has an intensity ten times that of the other, the distance from the stronger light source would be 0.7m before the total illumination is the least.
Step-by-step explanation:
Hector puts together two tables to make a long table for a class picnic.
One table is 7 feet 7 inches long. The other table is 6 feet 9 inches long.
What is the total length of the two tables?
Answer: 14 feet 4 inches
Step-by-step explanation:
Given: The length of the first table = 7 feet 7 inches
The length of the second table = 6 feet 9 inches
The total length of two tables = 7 feet 7 inches + 6 feet 9 inches
= (7+6) feet (7+9) inches
=13 feet 16 inches
Since 1 feet = 12 inches
The total length of two tables = 13 feet+ (12 inches +4 inches)
=13 feet +( 1 feet +4 inches)
= 14 feet 4 inches
Hence, the total length of the two tables = 14 feet 4 inches
Piper is going to invest $74,000 and leave it in an account for 11 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Piper to end up with $108,000?
find the slope based on the date below
x: -4, 0, 4 8
y: 3, 8 13 18
HELPPP QUICKK PLZZ
Answer:
The slope is [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Slope of a dataset:
The slope of a dataset, having two points, is given by the change in y values divided by the change in x values
In this question:
Two points:
x = 0, y = 8
X = 4, y = 13
The slope is:
[tex]m = \frac{13 - 8}{4 - 0} = \frac{5}{4}[/tex]
The slope is [tex]\frac{5}{4}[/tex]
A random sample of 60 was taken from a shipment of 12,500 light bulbs. There were 2 defective bulbs in the sample. How many defective bulbs would you expect in the entire shipment?
250
417
2,500
4,167
Answer:
417
Step-by-step explanation:
trust me
The defective bulbs in the entire shipment can be 417.
What is proportionality?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Given that, a random sample of 60 was taken from a shipment of 12,500 light bulbs, there were 2 defective bulbs in the sample.
We need to find how many defective bulbs would you expect in the entire shipment,
Let there be x defective bulbs in the sample.
using the concept of proportionality,
2 / 60 = x / 12500
x = 417
Hence, the defective bulbs in the entire shipment can be 417.
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A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696). The confidence interval is based on a random sample of n raw foods. A check of the conditions for inference on the slope shows they are reasonably met. Which of the following is a correct interpretation of the interval?
A. 95% of all such samples of size n will produce a sample slope between 2.505 and 6.696 for the regression line relating grams of carbohydrates and kilocalories per 100- g sample of various raw foods.
B. The probability is 0.95 that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
C. We are 95% confident that the slope of the regression line for the random sample of n raw foods is between 2.505 and 6.696.
D We are 95% confident that the predicted number of kilocalories per 100-g sample will be between 2.505 and 6.696.
E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Answer: E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Step-by-step explanation:
The interpretation of a 95% confidence interval: A person can be 95% confident that the true population parameter lies in it.
Given: A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696).
Interpretation: We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Correct option: E
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points. Find Keenan's and Rachel’s z-scores, to the nearest hundredth.
Answer:
Keenan's z-score was of 0.61.
Rachel's z-score was of 0.81.
Step-by-step explanation:
Z-score:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.
This means that [tex]X = 80, \mu = 77, \sigma = 4.9[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{80 - 77}{4.9}[/tex]
[tex]Z = 0.61[/tex]
Keenan's z-score was of 0.61.
Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.
This means that [tex]X = 78, \mu = 75, \sigma = 3.7[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 78}{3.7}[/tex]
[tex]Z = 0.81[/tex]
Rachel's z-score was of 0.81.
Is (4,3) (2,1) endpoints of a vertical line, a horizontal line, or neither?
Answer:
neither
Step-by-step explanation:
is a diagonal line
Diane scored 356.789 points Jeff scored 190.499 points how many more points did Diane score than Jeff
Answer: 166.29
Step-by-step explanation:
Answer:
It's 166.29
Diane score 166.29 more than jeff
Step-by-step explanation:
356.789
- 190.499
= 166.29
A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter
Janice and Emily are selling raffle tickets. So far they have sold 42 tickets, which is 12% of what they're trying to sell. How many tickets total are they trying to sell?
Answer:
350 tickets
Step-by-step explanation:
if you do 42/350, it would equal 12%, so 350 is the total
Victor wants to buy fertilizer for his yard. The yard measure 55 feet by 60 feet the direction on the bag
of fertilizer say that one bag will cover 1,230 sq ft.
How many bags of fertilizer should Victor buy to be sure that he covers the entire yard?
Victor should buy
bags of fertilizer.
Answer:
3 bags
Step-by-step explanation:
55 x 60 = 3300 ft²
3300/1230 = 2.68 bags
The Thompson family is buying a car that can travel 70 miles
Answer:
The car gets 35 miles per gallons.
Step-by-step explanation:
Find the measure of angles 1-7
Answer:
no hablo espanol no mas
Step-by-step explanation:
Please help me I need this due
Select all ratios equivalent to 3:2.
2:1
7:16
21:14
Answer:
Step-by-step explanation:
21 : 14
Both have 7 in common
3 : 2
So Option C 21 : 14 is the correct answer
Tricia made a 55% on her science test. If she got 11 problems correct, how many questions were on the test?
Answer:
20 questions
Step-by-step explanation:
20 · 0.55 = 11
Evaluate the expression.
-2.035 – 1.008 - 3.04 + 0.008
Answer:
-6.075
Step-by-step explanation:
simple addition/subtraction
we multiply all the terms by "-1"
we add the first three terms then subtract the last from it
henry is 70 inches tall Aaron is 6feey 2inches tall how much taller is Aaron than Henry
Answer:
4 inches taller
Step-by-step explanation:
aaron is 74 inches
Giving BRAINLYIST to whoever gets it right! PLEASE HELP!
Answer:
area = 117 cm²
Step-by-step explanation:
area = 1/2(b1 + b2)h
area = 1/2(17 + 9)(9)
area = 117 cm²
Answer:
A=117
Step-by-step explanation:
:))
A recipe calls for one egg to serve every four people. It also requires two tbsp of salt for every five eggs used. If you are cooking a
banquet for 300 people, how many tbsp of salt will you need?
a. 7.5 tsp
b. 30 tsp
c. 15 tsp
d. 60 tsp
I
No calculator is allowed on this question.
Answer:
30
Step-by-step explanation:
300/4=75
75/5=15
15*2=30
I’m dead for not knowing this
The correct answer is A: -2 + 2 = 0
Question 20(Multiple Choice Worth 2 points) (01.02 LC) Which number has a 9 that is one tenth the value of the 9 in 296? 195 409 981 1,956 NO LINKS HELP ASAP
Answer:
409 i would say
Step-by-step explanation:
very sorry is its wrong!!! :(
Answer:
prob d im guessing :^)
Step-by-step explanation:
tell me if i got it right or wrong i will fix if needed
There are 10 multiple-choice questions on a math quiz. Each question has four answer choices with one correct
answer. Let X represent the number of questions answered correctly for a student who is randomly guessing each
answer choice.
Have the conditions for a binomial setting been met for this scenario?
O No, the order of the questions is unknown.
O Yes, all four conditions in BINS have been met.
O No, the answers are not independent of one another.
O No, we do not know how many quizzes this teacher will give.
Save and Exit
Next
Submit
Mark this and return
B.) Yes, all four conditions in BINS have been met.
For the length given below draw a line segment to match. Express the measurement as a equivalent mixed number. 4.8 cm
Answer:
there's nothing there
Step-by-step explanation:
The solution is, The length of line segment AB is 3.4cm.
What is Line segment?Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.
here, we have,
The area of octagon is given as 2a^2(1+sqrt{2})
Where a is the side of octagaon.
All lengths of sides of octagon are same.
now, we get,
As, 2a^2(1+sqrt{2}) = 54cm
so, we have,
Then, a^2 = 54/2(1+sqrt{2})
a^2 = 54/4.828
a^2 = 11.19
a = 3.4 cm
Hence, The solution is, The length of line segment AB is 3.4cm.
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complete question;
What is the length of line segment AB, rounded to the
nearest tenth?
3.4 cm
O 4.8 cm
24 cm
0 27 cm
Please help will give brainliest
Answer:
angle a+angle b+angle c=180°
90°+38°+angle c=180°
128°+angle c=180°
angle c=180°-128°
angle c =52°
52°+n°=180°
n=180°-52
n=128°
The two-way table shows the number of students in a school who bring their lunch and/or who ride the bus:
Bring Lunch Do Not Bring Lunch Total
Ride Bus 40 35 75
Do Not Ride Bus 55 2 57
Total 95 37 132
How many more bring lunch than ride the bus? (4 points)
The correct answer is 20
Answer:
20
Step-by-step explanation:
People who don't ride the bus and bring lunch: 55
People who ride the bus and don't bring lunch: 35
55 - 35 = 20
Hope this helps!
Colin invests £1500 into a savings account. The bank gives 4% compound interest for the first 3 years and 5% thereafter. How much will Colin have after 4 years to the nearest pound?
1500(1+0.04)^3 = 1687.30
1687.30(1+0.05) = 1771.67 to the nearest pound: 1772
PLEASE HELP I WILL GIVE BRAINLIEST!
Maria needs to reach a window that is eight feet above the ground. When she placed a ladder so that it reached the bottom of the window, the base of the ladder was 6 feet from the house. How long is the ladder?
DIAGRAM:
WORK:
ANSWER:
Step-by-step explanation:
First you draw the right triangle and plug in everything you already know
Then you do the pythagoreon theorem
The ladder is 10 ft
please help me .......
9514 1404 393
Answer:
65°
Step-by-step explanation:
Any sort of bisector divides a geometry into two congruent parts. Here, we have an angle bisector that divides the larger (130°) angle into two equal parts. The measure of each of the resulting smaller angles will be 130°/2 = 65°.
∠JAE = 65°
Find the area of the shape shown in the diagram below (dimensions are in ft):
Answer:
where is the picture???????????