Answer:
6 + 2√10 units.
Step-by-step explanation:
We can use the distance formula to find the distance between the points. The points are ,
(0,2)(3,1)(6,2)Distance 1 :-
=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₁ = √{ (0-3)² + (2-1)² }
=> D₁ = √{ 3² + 1² }
=> D₁ = √{ 9+1}
=> D₁ = √10
Distance 2:-
=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₂ = √{ (6-3)² + (2-1)² }
=> D₂ = √{ 3² + 1² }
=> D₂ = √{ 9 + 1}
=> D₂ = √10
Distance 3 :-
=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }
=> D₃ = √{ (6-0)²+(2-2)²
=> D₃ = √6²
=> D₃ = 6
→ Perimeter = D₁ +D₂ + D₃
→ Perimeter = √10 + √10 + 6
→ Perimeter = 6 + 2√10 units
Hence the perimeter is 6+2√10 units.A factory fills bottles with a beverage, and each bottle is supposed to contain 500\text{ mL}500 mL500, start text, space, m, L, end text. Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml. She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml. Norah wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Required:
Calculate the test statistic for Norah's test.
Answer:
The test statistic for Norah's test is [tex]t = -2[/tex]
Step-by-step explanation:
Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.
This means that at the null hypothesis we test if the sample mean is 500 ml, that is:
[tex]H_0: \mu = 500[/tex]
At the alternate hypothesis, we test if it is differente than 500 ml, that is:
[tex]H_a: \mu \neq 500[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
500 is tested at the null hypothesis:
This means that [tex]\mu = 500[/tex]
She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.
This means that [tex]n = 16, X = 497, s = 6[/tex]
Calculate the test statistic for Norah's test.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{497 - 500}{\frac{6}{\sqrt{16}}}[/tex]
[tex]t = -2[/tex]
The test statistic for Norah's test is [tex]t = -2[/tex]
Answer: -2
Step-by-step explanation: Khan
Please help, I don’t understand this.
Solve y=(x-3)^2
Please show all work!
Answer:
[tex]y=(x-3)^{2}[/tex]
Step-by-step explanation:
Direction: Opens Up
Focus: ( 3, 1/4)
Axis of symmetry: x=3
Directrix: y=-1/4
Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.
PLEASE help fast with attached question!! Thanks!
Answer: I thihnk it's 1x10^-2
Step-by-step explanation: This equals 0.1, and 6^-2 is equal to 0.1....the rest of the answers are either too big or too small
Abel wants to go on a trip around the world so he determines a budget for a month long trip in 14 months. If Abel determines the following cost, how much would he need to save a month in order to afford the trip?
Travel: $1,383.12
Food: $613.05
Hotel: $2,369.72
Other: $816.82
You are conducting a significance test of H0: μ = 1.6 against Ha: μ ≠ 1.6. After checking the conditions are met from a simple random sample of 28 observations, you obtain t = 2.79. Based on this result, describe the p-value.
The p-value falls between 0.05 and 0.1.
The p-value falls between 0.0025 and 0.005.
The p-value falls between 0.02 and 0.025.
The p-value falls between 0.005 and 0.01.
The p-value is less than 0.005
The correct option is D)The p-value falls between 0.005 and 0.01.
What is p-value?
The P value denotes the probability that, when the null hypothesis is true, the statistical summary will be equal to or more extreme than the actual observed results for a specific statistical model.
The given that [tex]H_0[/tex]: μ = 1.6 and [tex]H_a[/tex]: μ ≠ 1.6. and n=28.
Degrees of freedom = n-1 = 28-1 = 27 This is two tailed test,
P(t>2.79)=1-P(t<2.79)
=> 1-0.9952
=> 0.0048.
P-value = 2*P(t>2.79)=2*0.0048=0.0096.
Hence the correct option is D)The p-value falls between 0.005 and 0.01.
To learn more about p-value refer the below link
https://brainly.com/question/13786078
#SPJ1
Help me please? I’ll mark brainliest.
Answer:
A = 6 units
Step-by-step explanation:
6 - 2 = 4
the y-intercept stays the same
the x-intercept changes
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?
Answer:
25
Step-by-step explanation:
40/8 = 5
3:5 so u do 5x5 which is 25
brief explanation and hoped it helped xoxo
Answer:
22 girls
Step-by-step explanation:
if there are 40 students in all and the ratio is 3:5 that means there are 2 more girls than boys and 2 less boys than girls so that means there are 22 girls and 18 boys in the classroom.
What is this pls help me 1/3 times 3/7
Answer:
2/21
Step-by-step explanation:
2/21 is the answer...........that is the fraction......
x+1/3=3/7
x=3/7-1/3
LCM=21
x=9/21-7/21
x=2/21
Help pls, Yes or no
Answer:
Yes
Step-by-step explanation:
The HL theorem basically says that two triangles are congruent if their corresponding hypotenuses and one leg are equal.
Here, the hypotenuse of both triangles are each marked with two dashes meaning they're equal. Similarly, QE and ET are both equal.
Therefore we can see that they can be proved congruent by the HL Theorem.
PLS HELP I DONT KNOW WHAT TO DO.
Answer: 36 and 22 A=396
Step-by-step explanation:
half of 1 diagonal is 18, so the whole diagonal is 36
the other diagonal half is 11 so the whole is 22
put 36 and 22 into the boxes
then solve
[tex]A=\frac{1}{2} (36*22)\\A=396[/tex]
Answer:
A = 99 in²
Step-by-step explanation:
Using the given formula with d₁ = 18 and d₂ = 11 , then
A = [tex]\frac{1}{2}[/tex] × 18 × 11 = 9 × 11 = 99 in²
Plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value. true of false
please I need help
Evaluate 5x when x =8
Answer:
5x
= 5(8)
= 40
I hope I've helped
Can somebody please help me out please my grads are bad
Someone plz help me with this it’s due today
Answer:
10. n>13
11. n<6
12. n<_96
13. n>_50
Step-by-step explanation:
the line should be under the greater/less than signs...my phone just doesn't allow me to do that
The base of a triangle is 5 cm greater than the height. The area is 18 cm. Find the height and the
length of the base.
The height of the triangle is
cm.
The base of the triangle is
cm.
Answer:
h = 4cm
b = 9cm
Step-by-step explanation:
Write an equation which has 8 as its solution.
Answer:
look at the picture i sent......
select all the ordered pairs that satisfy the function y=8r+20
Answer:
r= 1/8 y + -5/2
Step-by-step explanation:
ANSWER THIS ASAP NO FILE AT ATT!!
Answer:c
Step-by-step explanation:
Just flip it backwards which one looks the same
Look at the figure. How can you prove the triangles are congruent?
Answer:
SSS - The two triangles share all 3 sides, proving they are congruent.
Step-by-step explanation:
Two sides of each triangle are marked in the diagram as equal. The third side, [tex]\overline{BD}[/tex] is shared between both sides, meaning that both triangles share all three sides. This is known as SSS (side-side-side) and is a proof of congruence.
Step-by-step explanation:
In triangle ABD In triangle CBD
AB. = BC. [Given]
AD. = CD. [Given]
BD. = BD. [Common side]
Therefore,
According to SSS Congruence condition
Triangle ABD is congruent to Triangle CBD
Donna wants to rent a boat and spend less than $43. The boat costs $8 per hour, and Donna has a discount coupon for $5 off. What are the possible numbers
of hours Donna could rent the boat?
Use t for the number of hours.
Answer:
I have on idea?‽?????? sorry
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
522 m^2
Step-by-step explanation:
I've circles the numbers that you actually need to solve this problem.
First, find the area of the bigger rectangle by multiplying the length and width.
24*21=504
Then find the area of the smaller rectangle the same way
3*6=18
then add them to get the total area
504+18=522
522 m^2
What is the interquartile range?
3
2.5
6
2
The interquartile range depicted in the box plot is 2.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. The first quartile is the first line on the box. The third quartile is the third line on the box.
The interquartile range = 4.5 - 2.5 = 2
To learn more about interquartile range, please check: https://brainly.com/question/3966385
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Katie could already play five songs on her harp. She decided to learn to new songs each week. If S = songs and W = weeks, which equation expresses her goals?
Answer:
she would have to record a the amount of songs She did every week
what is the volume of the cylinder?
Answer:
[tex]\pi {r}^{2} h[/tex]
r=5
h=4
Due soon pls help - who ever answers get brainiest !
Answer:
D if it helps
Step-by-step explanation:
What is the solution to the system of equations?
y = x +3
X=-2
Answer: (-2, 11/6)
Step-by-step explanation:
If the radius of a cylinder is 3 centimeters, then the area of one of the circular bases is 18.84 square centimeters. True False
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
To calculate the area of a circle you need to multiply the radius by itself, then multiply that number by [tex]\pi[/tex].
In this case, our radius is 3, so we multiply 3 × 3 × [tex]\pi[/tex] (which can be estimated as 3.14)
3×3 is 9
9×3.14 is 28.26
28.26≠18.84
So, the correct answer is false. Hope this helps ^.^
HELP QUICK PLZ! NO SPAM.
XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?
Answer:
X (15, −8) → X ′(9, −3) → X ″(9, 3);
Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);
Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)
Step-by-step explanation:
Use the translation vector <−6, 5> to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).
Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .
X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).
Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).
Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).
To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).
Apply the reflection rule to the vertices of △X'Y'Z'.
X' (9, −3) → X'' (9, 3).
Y' (7, 26)→Y''(7, −26).
Z' (−23, 22) → Z'' (−23, −22).
Therefore,
X (15 ,−8) → X' (9, −3) → X'' (9, 3)
Y (13, 21) → Y' (7, 26) → Y'' (7, −26)
Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)
represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis.
The Sine Function
Choose the graph of the following function:
f(x) = -2 sin(x)
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Please select the best answer from choices provided
Answer:
D. Graph D
Step-by-step explanation:
I calculated it logically
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary
Answer:
5. 10 cm
6. 12 in
7. 5 mi
8. 13 cm
Step-by-step explanation:
5. 6² + 8² = x²
36 + 64 = x
36 + 64 = 100
√100 = 10
6. 15² - 9² = x²
225 - 81 = 144
√144 = 12
7. 3² + 4² = x²
9 + 16 = x
9 + 16 = 25
√25 = 5
8. 12² + 5² = x²
144 + 25 = x
144 + 25 = 169
√169 = 13