Lets note the change between each of the numbers in the sequence:
-2 --> 6 ---> 14
Next, make an equation between each of these numbers with x being the change between them
-2+ x = 6, 6 + x = 14 .
Now, solve each of these equations:
-2+ x = 6 --> -2+ x = 6 Add 2 on both sides to cancel out the -2 --> x = 8
6+ x = 14 --> -2+ x = 6 Minus 6 on both sides to cancel out the 6 --> x = 8
From this, the common difference will be 8.
Hope that helps.
What is the following product?
which fractions are equivalent to 4/8? choose all correct answers (1/5) (2/6) (1/4) (1/2) (2/4)
Answer:
1/2, 2/4
Step-by-step explanation:
4/8 = (2/4) =1/2 (if you divide up and down by the same number)
so 4/8 = 1/2
next, let's simplify the choices we have: (1/5) (2/6) (1/4) (1/2) (2/4)
1/5 is already simplified
2/6 = 1/3
1/4 is already simplified
1/2 is already simplified
2/4 = 1/2
Which of these is equal to 4/8 (aka 1/2)?
Answer: 1/2 and 2/4
Find the arc length of the partial circle.
Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.
No links, provide explanation.
Answer:
C: 18
Step-by-step explanation:
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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]
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
Find the perimeter of EFGH
Step-by-step explanation:
Perimeter of EFGH=2.5+1.5+4+2
=10
=
factorize the following (x+3)²(2x-3)
Answer:
Step-by-step explanation:
it is already in factors.
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
I need the answer fast pls
Answer:
530!
Step-by-step explanation:
subtract the biggest value and the lowest value
Answer:
530
Step-by-step explanation:
Order the numbers from least to greatest, get the biggest and the lowest number and subtract both and then you find the range.
340,400,400,870
870-340= 530
Ulyssa draws a rectangle
that is 2/3 of a meter
long and 3/5 of a meter
wide. What is the area
of this rectangle?
Answer:
15m
Step-by-step explanation:
PLEASE HELP ! Determine the type of triangle drawn below.
Answer:
Scalene,right angled triangle
Hope it helps
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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HILL BOOMERANG I BEG OF YOU GUYS PLEASE HELP IF YOU KNOW AND UNDERSTAND IT
Answer:
5. 2√6
6. 4
Step-by-step explanation:
5. x =√[3×(3+5] = √3×8 =√24=2√6
6. x(x+5)=6²
x²+5x=36
x²+5x-36=0
(x+9)(x-4) =0
x=-9 or x=4
What is the remaining area
Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
Answer:
A cross section parallel to the base is a square with side lengths of less than 2 ft.
A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
B D E
Step-by-step explanation:
Answer:
BDE
Step-by-step explanation:
I GOT IT RIGHT
HELP WILL GIVE BRANLIEST!
Answer:
Step-by-step explanation:
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
Increase £15837.77 by 18.5%
Give your answer rounded to 2 DP.
Answer: 18767.76
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
please hurry need done asappppp
Answer:
1
Step-by-step explanation:
(8422
A)
B
B)
9
D)
816
8
Answer:
8422
Step-by-step explanation:
Answers
A. The x-coordinate is less than the y-coordinate
B. The x-coordinate has a greater magnitude than the y-coordinate
C. The x-coordinate is negative and the y-coordinate is positive
D. The x-coordinate has a greater absolute value than the y-coordinate
Help Please!
Answer:
c
Step-by-step explanation:
because the coordinate of x is negative
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test
B. No, because it is not a straight line
C. Yes, because it is a curved line
D. Yes, because it passes the vertical line test
Answer:
D. Yes, because it passes the vertical line test
Step-by-step explanation:
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)
Lorena's backpack has a mass of 15,000 grams.
What is the mass of Lorena's backpack in kilograms?
Lorena's backpack weighs
kilograms.
Answer:
1 kg = 1000 grams
15,000 grams = 15kg
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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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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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: