Answer:
[tex]||AB|| = 11.8743[/tex]
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
Distance from A(-8,-3,-2) and B(-4,8,0)
[tex]||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}[/tex]
[tex]||AB|| = \sqrt{4^2 + 11^2 + 2^2}[/tex]
[tex]||AB|| = 11.8743[/tex]
5. Ms. Brown's flight left at 9:20 A.M. Her plane landed 1 hour and 23 minutes later. What time did her plane land?
asap please thank you so much
Answer:
the plane landed at 10:43 A.M
HELP WILL GIVE BRANLIEST!
Answer:
Step-by-step explanation:
No links, provide explanation.
Answer:
C: 18
Step-by-step explanation:
While shopping for clothes, Jaclyn spent $41 less than 2 times what Curtis spent. Jaclyn spent $27. Write and solve an equation to find how much Curtis spent. Let x represent how much Curtis spent.
Answer:
Step-by-step explanation:
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qqqqqqqqqnxkkakakzmmz
Answer:
If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:
Tan(θ) = y/x
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
Ctg(θ) = x/y
Sec(θ) = √(x^2 + y^2)/x
Csc(θ) = √(x^2 + y^2)/y
Ok, now we have all the equations.
We know that:
Sec(C) = 30/24
Then:
√(x^2 + y^2) = 30
x = 24
Replacing x in the first equation we get:
√(24^2 + y^2) = 30
y = √(30^2 - 24^2) = 18
Then we have:
x = 24
y = 18
√(x^2 + y^2) = 30
So we can just replace these in the equations:
Tan(C) = y/x = 18/24
Cos(C) = x/(√(x^2 + y^2)) = 24/30
Sin(C) = y/(√(x^2 + y^2)) = 18/30
Ctg(θ) = x/y = 24/18
Sec(θ) = √(x^2 + y^2)/x = 30/24
Csc(θ) = √(x^2 + y^2)/y = 30/18
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what test score separates the top 5% of the students from the lower 95% of students?
Answer:
Hence, the answer is [tex]x>71.1515[/tex]
Step-by-step explanation:
We have,
[tex]n=100,\mu=70,\sigma=7[/tex]
The top percentage of the students is [tex]5\%[/tex]
The lower percentage of the students is [tex]95\%[/tex]
The lowest [tex]95\%[/tex] is the left area from the normal distribution table, the area [tex]0.95[/tex] lies in the z-table
[tex]z=1.645[/tex] from the z- table
[tex]P(z<1.645)=0.95\\P(z>1.645)=0.05\\z>1.645[/tex]
[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{\mu}} } >1.645\\x>1.645\times \frac{\sigma}{\sqrt{n}} +\mu[/tex]
[tex]>1.645\times \frac{7}{\sqrt{100}} +70[/tex]
[tex]\Rightarrow x>71.1515[/tex]
Mai and Elena are shopping for back-to-school clothes. They found a skirt that originally cost $30 on a 15% off sale rack. Today, the store is offering an additional 15% off.
To find the new price of the skirt, in dollars, Mai says they need to calculate 30. 0.85 0.85. Elena says they can just multiply 30.0.70.
1. How much will the skirt cost using Mai's method?
2. How much will the skirt cost using Elena's method?
3. Explain why the expressions used by Mai and Elena give different prices for the skirt.
Answer:
Mai
Step-by-step explanation:
1. 21.675 R $22
2. $21
Mai is the correct method because 15%-100%=85, which shows the percentage that is left to multiple. Then she multiples 0.85 times 2 as she was able to take off 15% twice. Elena's is incorrect because she added the two 15% off and subtracted that by 100 giving her 70. Which is the incorrect decimal to multiple by. Hope this helps.
Go check out Quelenasboutique on Etsy
please hurry need done asappppp
Answer:
1
Step-by-step explanation:
The area of the region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
(a, b) can't equal
The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units. So, all the options satisfy the value of a and b except (7, -9).
How to find the area of a region?Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Then summing all those pieces' area gives us the area of the main big region.
The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
f(x) is a linear function, the area under the curve on the interval [0,4] is a trapezoid with a height of 4 and bases of lengths f(0) and f(4).
The area of a trapezoid is the height times the average of the bases.
a. f(x)=-2x+8 f(0)=8, f(4)=0;
area = 4(8/2) = 16
b. f(x)=x+2; f(0)=2, f(4)=6;
area = 4(8/2) = 16
c. f(x)=3x-2; f(0)=-2, f(4)=10;
area = 4(8/2) = 16
d. f(x)=5x-6; f(0)=-6, f(4)=14;
area = 4(8/2) = 16
e. f(x)=7x-9; f(0)=-9, f(4)=19;
area = 4(10/2) = 20
Thus, The area is NOT 16 for choice e.
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Sams rectangular swimming pool measures 1 1/2 meters deep, 10 meters long, and 7 meters wide. What is the volume of the swimming pool?
Answer:
[tex]105\:\mathrm{m^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex]. Plugging in given values, we have [tex]V=1.5\cdot 10\cdot 7=\boxed{105\:\mathrm{m^3}}[/tex].
Answer:
105
Step-by-step explanation:
Length × Width × height
10×7× 1.5
(10×7) 1.5
70×1.5
=105
hey guys in the middle of my final! please help? will mark the brainiest + 30 points !
Answer:
X=90
..............
Use any method to solve. Write the answer as an ordered pair.
6x + y = 12
-4x - 2y = 0
A. (-6, 3)
B. (3, 6)
C. (6, 3)
D. (3, -6)
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]6(2)x + (2)y = 12(2) \\ + \\ - 4x - 2y = 0 \\ = \\ 8x = 24 \\ x = 24 \div 8 \\ x = 3[/tex]
(8422
A)
B
B)
9
D)
816
8
Answer:
8422
Step-by-step explanation:
What is the remaining area
Find the measure of the missing side. Round
to the nearest tenth (one number after the
decimal). Someone please solve for me
The following data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administration.
GPA Monthly Salary ($)
2.6 3,500
3.4 3,800
3.6 4,200
3.1 3,700
3.4 4,200
3.1 2,500
The estimated regression equation for these data is = 2090.5 + 581.1x and MSE = 21,284.
Required:
a. Develop a point estimate of the starting salary for a student with a GPA of 3.0
b. Develop a 95% confidence interval for the mean starting salary for all students with a 3.0 GPA (to 2 decimals).
c. Develop a 95% prediction interval for Ryan Dailey, a student with a GPA of 3.0 (to 2 decimals).
Answer:
1.) 3833.8
2.) (3428.81 ; 4238.79)
Step-by-step explanation:
1.)
Point estimate of the salary for student with GPA of 3.
Using the regression model given :
Y = 2090.5 + 581.1x
x = 3
Y = 2090.5 + 581.1(3)
= 3833.8
2.)
95% confidence interval :
Y ± Tcritical * √MSE
Y = point estimate at x =3 ; = 3833.8
MSE = 21,284
Tcritical at 95% ; df = n-2 = 6-2 = 4
Tcritical(0.025 ; 4) = 2.776
√MSE = √21284 = 145.89036
Lower boundary : 3833.8 - 2.776(145.89036) = 3428.81
Upper boundary : 3833.8 + 2.776(145.89036) = 4238.79
(3428.81 ; 4238.79)
Rewrite in vertex form. y=x2+2x+6
Answer:
[tex]y = {x}^{2} + 2x + 6 \\ y = {( - 1 + i)}^{2} [/tex]
Answe
y=(x+1)2+5
Step-by-step explanation:
Find the surface area of a regular square pyramid with a base edge length
of 9 feet and a slant height of 12 feet.
Answer:
Perimeter = 9 . 4=36 ft
lateral area=(perimeter . slant height) / 2 = (36 . 12) /2 = 216 sq ft
area of the base=9*9=81 sq ft
Surface area = LA+BA = 216 + 81 = 297 sq ft
In the figure below, NM and NP are examples of ______ because they share an endpoint.
please look at picture.
intersection is the answer
IF U GET CORRECT U GET BRAINLIEST
The last five houses built in town sold for the prices shown below. Find the mean price. Use pencil and paper. If a new house built in the town sold for $160,000, how would that affect the mean?
prices: $181,00; $187,00; $144,00; $176,00; $175,00
what is the mean price of the houses??
Answer:
172,600
Step-by-step explanation:
hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were
so 181,000+187,000+144,000+176,000+175,000=863,000
then divide by 5
863,000/5=172,600
hope this helped !
What are the values of a and b
Answer:
a equal to five.b equal to three
b=3
Please answer number 5 for brainliest:)
Stream ecologists are interested in the number of distinct organisms found in streams and whether or not differences exist based on geography. Separate random samples are obtained from sites in Northeastern and Southeastern streams, and the number of distinct organisms is recorded. They are given as separate stemplots for Northeastern and Southeastern streams.
Northeastern Southeastern
0 0 5 5 7 8
1 5 1 1 2 3 5 9 9
2 0 3 9 2 2 7
3 1 4 7 8 8 3 3
4 4 8 8 4 1
5 5 7 5
Required:
What is the sample size obtained from Southeastern?
Answer:
14
Step-by-step explanation:
Given
See attachment for proper stem plots for both district
Required
The sample size for Southeastern
The stem plot for southeastern is:
[tex]Stem | Leaf[/tex]
[tex]0 | 5\ 5\ 7\ 8[/tex]
[tex]1 | 1\ 2\ 3\ 5\ 9\ 9[/tex]
[tex]2 |2\ 7[/tex]
[tex]3 | 3[/tex]
[tex]4 | 1[/tex]
[tex]5 |[/tex]
To get the sample size, we simply count the leaves
The leaves are:
[tex]Leaves = \{5, 5, 7, 8, 1, 2, 3, 5, 9 ,9,2,7,3,1\}[/tex]
The number of leaves is:
[tex]n(Leaves) = 14[/tex]
Hence, the sample size is 14
What value of x satisfies this equation?
log(2x)=2
Answer:
[tex] log(2x) = 2 \\ 2x = {10}^{2} \\ 2x = 100 \\ x = 50[/tex]
The value of x that satisfies this equation log(2x) = 2 is 50
How to determine the value of x?The equation is given as:
log(2x) = 2
Change the equation to an exponential equation
2x = 10^2
Evaluate the exponent
2x = 100
Divide both sides by 2
x = 50
Hence, the value of x that satisfies this equation log(2x) = 2 is 50
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50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c=9.1 miles
Step-by-step explanation:
a^2+b^2=c^2
6.2^2+6.7^2=c^2
38.44+44.89=c^2
83.33=c^2
√83.33=c
c=9.12852671574
Round to nearest 10th
c=9.1
If this helps please mark as brainliest
Answer:
9.1 miles
Step-by-step explanation:
6.7²+6.2²=h² 44.89+38.44=h² 83.33=h² find the square root of 83.33
what is the value of 5.4
54 tenths
54 hundredths
54 ones
540 tenths
Answer:
The third option if you ment to type 54 and not 5.4 if you meant 5.4 then that would be 5 and four tenths.
Step-by-step explanation:
Hope this helps ❤️
PLEASE HELP ! Determine the type of triangle drawn below.
Answer:
Scalene,right angled triangle
Hope it helps
The square of p varies inversely as q. When Q=6 p=4
What is the value of q when
P = 12
A. 2/3
B. 3/2
C. 2
D. 18
Answer:
A
Step-by-step explanation:
Given p² varies inversely as q then the equation relating them is
p² = [tex]\frac{k}{q}[/tex] ← k is the constant of variation
To find use the condition when q = 6, p = 4 , then
4² = [tex]\frac{k}{6}[/tex]
16 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
96 = k
p² = [tex]\frac{96}{q}[/tex] ← equation of variation
When p = 12 , then
12² = [tex]\frac{96}{q}[/tex] ( multiply both sides by q )
144q = 96 ( divide both sides by 144 )
q = [tex]\frac{96}{144}[/tex] = [tex]\frac{2}{3}[/tex] → A
What is the radius of a hemisphere with a volume of 1773 cm”, to the nearest tenth
of a centimeter?
Answer is - in cms
Answer:
R=9.5
Step-by-step explanation:
If anyone could pls do this for me
https://brainly.com/question/23716720
Answer:
Radius(r) = 9.5 cm
Happy learning!
Applepi101
Which expression is equivalent to 30 ÷ (3 + x)?
Answer:
G maybe?
Step-by-step explanation: