What is the distance between a point at (-3,4) and a point at (2,-5) ?
Solution:-Let the two points be A and B .
And, let the distance be P .
Now, the distance P between the point A (-3,4) and the point B (2,-5) is
[tex] \bf P \: = \sqrt{(-3 \: - \: 2)^2 \: + \: (4 \: + \: 5)^2} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{(-5)^2 \: + \: (9)^2} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{25 \: + \: 81} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \sqrt{106} [/tex]
[tex] \implies [/tex] [tex] \bf P \: = \: 10.3 [/tex]
The distance between a point at (-3,4) and a point at (2,-5) is 10.3 . [Answer]Emilio’s truck has a gas tank that holds 25 gallons of gas and can travel 400 miles without refilling the gas tank. The graph below shows the amount of gas remaining in Emilio’s truck after he has driven a certain number of miles. Which of the following best describes a reasonable range for this situation
Answer:
[tex]Range: 0 \le y \le 400[/tex]
Step-by-step explanation:
Given
[tex]Gas = 25 gallons[/tex]
[tex]Distance = 400miles[/tex] --- max
Required
The range of the function
The graph is not given; however, the question can be answered without the graph.
From the question, we understand that the truck can hold up to 25 gallons.
This represents the domain (i.e. from 0 to 25)
When the truck is empty (i.e. no gas in it), the truck cannot move any distance (0 miles).
When the truck is filled up (i.e. 25 gallon), the truck can move up to 400 miles.
This represents the range (i.e. from 0 to 400 miles)
Hence, the range is:
[tex]Range: 0 \le y \le 400[/tex]
10. Which of these is NOT a perfect square?
a. 81
b. 100
C. X2
d. 42
Answer: 42 is not a square of a whole number
Step-by-step explanation: 81= 9², 100= 10², x²= x·x, 6²= 36 and 7²= 49
Need help on this question thanks
Answer:median
Step-by-step explanation: because median is used to be in the middle so those are numbers that would be in the middle, and if you add them up it would contain a high amount of number but if you subtract half you get your answer, and your Welcom!
What is the total surface area of the triangular prism shown?
Answer:
24 2/5ft
Step-by-step explanation:
add all the sides together.
4ft x 2
3ft x 2
10 2/5 x 1
=
24 2/5
solve 6×1/5 solve the equation
Step-by-step explanation:
6/5is the answer................
Answer:
1 and 1/5
Step-by-step explanation:
6 times 1/5 is 1/5+1/5+1/5+1/5+1/5+1/5 which equals to 6/5 which also equals to 1 and 1/5
A fitness center is interested in finding a 90% confidence interval for the mean number of days per week that Americans who are members of a fitness club go to their fitness center. Records of 219 members were looked at and their mean number of visits per week was 2.4 and the standard deviation was 2.9. Round answers to 3 decimal places where possible.
A. The sampling distribution follows a _______ distribution.
B. With 90% confidence the population mean number of visits per week is between _____ and ______ visits.
C. If many groups of 220 randomly selected members are studied, then a different confidence interval would be produced from each group. About ________ percent of these confidence intervals will contain the true population mean number of visits per week and about__________ percent will not contain the true population mean number of visits per week.
Answer:
A. Normal
B. Between 2.078 and 2.722 visits.
C. About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
Question A:
By the Central Limit Theorem, normal.
Question B:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{2.9}{\sqrt{219}} = 0.322[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 2.4 - 0.322 = 2.078 visits
The upper end of the interval is the sample mean added to M. So it is 2.4 + 0.322 = 2.722 visits.
Between 2.078 and 2.722 visits.
Question c:
90% confidence level, so 90% will contain the true population mean, 100 - 90 = 10% wont.
About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.
Yuhhh please help ty :))
Answer:
20 oz.
Step-by-step explanation:
Hope this helps ! :)
40 pts please help!
Which of the following is a tangent line to circle O?
a. line EF
b. segment OD
c. segment BC
d. line AG
Answer:
d.
Step-by-step explanation:
line AG is the answer because a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior.
Answer:
d. line AG
Step-by-step explanation:
A tangent is a line that just 'touches' the curve of a circle, and doesn't intersect it.
We can see that since AG touches the circle, and since the other lines all intersect the circle, the tangent here is AG
Find the amount due if $200 is borrowed for 10 months at an APR of 16% simple interest
Amount =?
Answer
$266.66
Step-by-step explanation:
We have here ,
Principal = $200 Rate = 16% Time = 10 months = 10/12 yrs.We can use the formula of SI to calculate the SI . After adding it to principal we will get the amount .
⇒ SI = P × R × T / 100
⇒ SI = $ 200 × 16 × 10 / 12 × 100
⇒ SI = $ 26.66
Now Calculate amount as ,
⇒ A = SI + P
⇒ A = $ 200 + $ 26.66
⇒ A = $ 226.66
Find the average of the function over the given interval. f(x) = x3 over [−1, 1]
9514 1404 393
Answer:
0
Step-by-step explanation:
f(x) = x^3 is an odd function, so is symmetrical about the origin. Its average value on any symmetrical interval around the origin will be 0.
The average value is 0.
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the Alternate hypothesis
Answer:
Alternative Hypothesis:H₁: μ ≠ 0.41
Step-by-step explanation:
Step(i):-
Given that the newscast reaches 41% of the viewing audience in the area
The mean of the Population = 0.41
Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station
Given that the mean of the sample = 0.36
Step(ii):-
Null hypothesis: The sample statistic does not differ significantly from the hypothetical parameter value.
Given data
Null hypothesis: H₀ : μ = 0.41
Alternative Hypothesis: Any hypothesis which is complementary to the Null hypothesis
Alternative Hypothesis:H₁: μ ≠ 0.41
Mr. Newman owns a sporting good store. He got a shipment of 49 baseball bats. 21 of them were wooden bats, and the rest were aluminum. What fraction of the bats were wooden?
Fill in the answer in simplest form.
Answer:
3/7
Step-by-step explanation:
Round to one billion place. Drop the zeros.
28,436,297,825
30,943,267,101
45,831,246,935
Answer:
28,436,297,825
30,943,267,101
45,000,000,000
Step-by-step explanation:
ur welcome
Find the mean of 9, 2, 2, 1, 1 graphically.
If Jordan rode his bike for five days how much hours dose he ride it for? PLEASE COMMENT YOUR ANSWER asp
Answer: 2880 hours
Explanation: 120 days times 24 hours
1) Determine the area of the shaded region.
14 ft
8 ft
Answer:
61.73 ft ^2
Step-by-step explanation:
area of rectangle
14x8 = 112
area of circle
π(4)(4) = 50.27
subtract
112-50.27 = 61.73
please help i don't understand this question
A the cost of buying the tablet
B the cost per month of internet service
C the number of months after wich the total cost is 0 dollars
D none of the above
Answer:
Pretty sure it would be b because it keeps scaling as the x axis continues with time
The original price of a book is $25. The book is on sale for 30% off.
What percent of the price are we paying? What is the price you will pay
for the book?
Answer:
You will pay 70% of the original price. You will pay $17.50
Step-by-step explanation:
100% is full price because 100%=1 (one whole).
100% - 30% = 70%
70% = 0.7
0.7 multiplied by $25 is $17.50
Please help me! This is due tomorrow and I really need some help! Thank you.
Answer:
over 1/2 own a dog
Step-by-step explanation:
Answer:
Over 1/2 of students own a dog.
Step-by-step explanation:
Total number of students: 25 Add the students owning different types of pets
13/25 Number of students owning dogs divided by total number of students
13/26 = 1/2; therefore 13/25 > 1/2
A sprinkler rotates 360° to water a circular region. If the total area watered is approximately 2,200yd2, determine the radius of the region (the radius is length of the stream of water). Round the answer to the nearest yard.
Answer:
Radius = 26 yards.
Step-by-step explanation:
The complete rotation of the sprinkler makes a circle of radius R (R is the length of the stream of water).
Remember that the area of a circle of radius R is:
A = pi*R^2
where pi = 3.14
In this case, we know that the area is equal to 2,200 yd^2
Then:
A = 2,200 yd^2 = 3.14*R^2
Solving this equation we can find the value R.
(2,200 yd^2)/3.14 = R^2
√( (2,200 yd^2)/3.14) = R = 26.47 yards.
We want to round it to the nearest yard, then we need to look at the first digit after the decimal point. It is smaller than 5, then we round down, we get:
Radius = 26 yards.
Plz I need help with this
Answer:56
Step-by-step explanation:
Find the lengths of the legs.
(NO LINKS)
Given:
The figure of a right angle triangle with hypotenuse 10 and two angles [tex]45^\circ, 90^\circ[/tex]
To find:
The lengths of the legs.
Solution:
Two angles are given. By using the angle sum property, the third angle is:
Third angle = [tex]180^\circ-45^\circ- 90^\circ[/tex]
= [tex]45^\circ[/tex]
Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.
Let x be the lengths of both legs. Then by using Pythagoras theorem, we get
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
[tex](10)^2=x^2+x^2[/tex]
[tex]100=2x^2[/tex]
[tex]\dfrac{100}{2}=x^2[/tex]
[tex]50=x^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{50}=x[/tex]
[tex]\pm 5\sqrt{2}=x[/tex]
[tex]\pm 5\sqrt{2}=x[/tex]
The side length cannot be negative. So, the only value of x is [tex]5\sqrt{2}[/tex].
Therefore, the length of the both legs is [tex]5\sqrt{2}[/tex] units.
what is the domain of this exponential function , y=7^x
Answer: hope this helps
Step-by-step explanation:
Answer:
Hope this helped!!!
Step-by-step explanation:
X = {1,3,5,7)
Y = {13,57}
Which of the following is the set XnY?
Answer:x is a letter in music.} 3. Determine whether each set is well-defined. If it is not well-defined, explain why, ... true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} ... Describe each of the following sets as either finite or infinite. ... 13 listened to heavy metal and alternative rock; 12 listened to rap and alternative rock;. or
x 2 - 2yZ = 7 with x = 2v + 1 and y = 2b + 1. These have solutions. (x, y; v, b) = (3, 1; 1,0), (5,3; 2,1), (13,9; 6,4),. (27,19; 13,9), (75,53; 37, 26), (157,111; 78, 55), .
Step-by-step explanation:
How come the tutors don't work??
Answer:
What do you mean? If you are talking about the Community not always answering Questions well that means your they don't know the right Answer
the Mods are Annoying and very skeptic of the Guidelines of Brainly.
An angle measures 60.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
the angles are 120.1 and 59.9
Step-by-step explanation:
supplementary means that the add up to be 180
I made a system of equations and to make thing faster I graphed them but if you wanted you could solve fully
x+y=180
y-60.2=x
Given: Circle O; ZA intercepts BC; ZD intercepts BC Two statements are missing reasons. What reason can be used to justify both statements 2 and 3? Prove: ZA ZD Statements Reasons D 1. given A 1. circle O; ZA intercepts BC, ZD intercepts BC 2. m ZA= (MBC ) 3.m4D = 1mBC) (MBC 12.1? B 3.? 4. mZA=mZD 4. substitution property 5. ZASZD 5. definition of congruent angles O inscribed angles theorem
Answer:
A. Inscribed angle theorem
Step-by-step explanation:
The missing reasons in the proof are inscribed angles theorem.
What is an arc in a circle?In mathematics, an arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.
Given that, a circle, with arcs AD and BC, we need to find the reason in the proof,
The reasons are inscribed angles theorem.
Inscribed angles theorem :-
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.
Hence the missing reasons in the proof are inscribed angles theorem.
Learn more about arcs, click;
https://brainly.com/question/29886215
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Substituting the equation x = 4y – 12 into the equation -2y = x – 6 will produce the equation _________.
How many times greater is the value of the 9 digit in 90,523 than the 9 digit in 59,112?
Answer:
I'm pretty sure it's 10,000
Find the area of this parallelogram, top= 14 left= 11 right = 10
Answer:
140 cm^2
Step-by-step explanation:
Formula for area of a Parallelogram: base*height
14 cm * 10cm = [tex]140 cm^{2}[/tex]