Answer:
0.872
Step-by-step explanation:
The regression fits the data well leavubgbiut just one of the points, this shows there is a strong relationship between the plotted variables. Also, we have to look at the direction of the regression line which will give us an idea of the slope, hence the type of correlation between the two variables (either positive or negative relationship). In this case the slope is positive and hence the correlation Coefficient will be positive as well. Hence we can say there is a strong positive relationship between the variable. The only option which depicts this association is 0.872
How much would you need to deposit into an account that pays 6.5% interest compounded semiannually to have $10,000 after 7 years?
Answer:
6390.56
Step-by-step explanation:
[tex]AV=PV(1+\frac{i}{n})^{nt}\\10000=x(1+\frac{.065}{2})^{7*2}\\10000=1.564807232*x\\6390.53=x[/tex]
9514 1404 393
Answer:
$6490.57
Step-by-step explanation:
The future value is given by the compound interest formula ...
A = P(1 +r/n)^(nt)
Principal P earns annual rate r compounded n times per year for t years.
Filling in the given values, we have ...
10000 = P(1 +0.065/2)^(2·7) = P(1.0325^14)
P = 10000/1.0325^14 ≈ 6390.5635
You would need to deposit $6390.57 into the account to have $10,000 in 7 years.
_____
Additional comment
Using the rounded-down result of the computation will result in a value after 7 years of $9,999.99, not quite $10,000. Rounding the computed value up to $6390.57 ensures the account balance will actually be $10,000.00 after 7 years.
If the balance is rounded to the nearest penny each time interest is added, then the balance after 7 years will be exactly $10,000.00. If there is no intermediate rounding, the resulting balance will be $10,000.01.
Most of the time, the answer key doesn't pay attention to details like this. Your expected answer may be $6390.56, or $6391 if rounded to dollars.
Find the area of the circle use 3.14 for pie d=6ft
Answer:
28.26 ft.²
Step-by-step explanation:
Mathematics: Explain/formula.
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]\pi r^2(3.14*radius*radius)[/tex]
[tex]\pi =pi[/tex]
Mathematics: Solve.
Here, the diameter is 6 ft.
To find the radius, divide the diameter by 2.
[tex]6/2=3[/tex]
[tex]radius=3[/tex]
Now, we can plug the numbers into the formula.
[tex]\pi 3^2(3.14*3*3)=28.26[/tex]
Mathematics: Conclude.
Therefore, the area of this circle is 28.26 ft.²
the area of the given circle will be 28.27 ft².
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given, a circle that has a diameter of 6 ft,
Since, Radius = diameter/2
Thus,
Radius = 6/ 2
Radius = 3ft
From the formula of the area of the circle:
Area = pi* radius *radius
In our case,
Area = pi * 3 * 3
Area = 28.274
Therefore, the area of the given circle will be 28.27 ft².
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explain why a3*a2 dosnt equal a6... Plz I need help!
Answer: a^3 · a^2 ≠ a^6 as the laws of exponents states that the multiplication rule for two exponents with the same bases equates to addition, so that a^3 · a^2 = a^3+2 = a^5.
Write 11 k-6 (2k+5)in expanded form and find the sum
Answer:
Option B
Step-by-step explanation:
Expression representing the series is,
[tex]\sum_{k=6}^{11}(2k+5)[/tex]
Here, k = Number of terms
By placing k = 6, 7, 8, 9, 10, 11 in the expression we can get the terms of the series.
For k = 6,
(2k + 5) = 2(6) + 5
= 17
For k = 7,
(2k + 5) = 2(7) + 5
= 19
For k = 8,
(2k + 5) = 2(8) + 5
= 21
For k = 9,
(2k + 5) = 2(9) + 5
= 23
For k = 10,
0(2k + 5) = 2(10) + 5
= 25
For k = 11,
(2k + 5) = 2(11) + 5
= 27
Therefore, expanded form will be,
17, 19, 21, 23, 25, 27
There, is a common difference in each successive to previous term,
d = 19 - 17
d = 2
Number of terms 'n' = 6
First term = 17
Sum of an arithmetic sequence is given by,
[tex]S=\frac{n}{2}[2a+(n-1)d][/tex]
Therefore, sum of the given sequence will be,
[tex]S=\frac{6}{2}[2(17)+(6-1)2][/tex]
= 3(34 + 10)
S = 132
Option B will be the correct option.
The sample space of picking a 2
character password using the letters Y, P, GR,
B, O, where double letters are not allowed is
shown. Your teacher asks the class to find the
probability of choosing a password with
one Y and one P. Carlos incorrectly says that
the probability is 15. Find the correct probability
then decide which error Carlos might have
made
Answer:
[tex]Pr = \frac{1}{15}[/tex]
Step-by-step explanation:
Given
See attachment for sample space
Required
[tex]P(1\ Y\ and\ 1\ P)[/tex]
From the attached sample space, we have:
[tex]n(S) =30[/tex] ---- total outcomes
[tex]n(PY) = 2[/tex] --- outcomes with 1 Y and 1 P = 2 i.e. (P,Y) and (Y,P)
So, the required probability is:
[tex]Pr = \frac{n(PY)}{n(S)}[/tex]
[tex]Pr = \frac{2}{30}[/tex]
[tex]Pr = \frac{1}{15}[/tex]
The error is that; Carlos omitted the numerator
Select the correct answer. What is the domain of the function represented by this graph? the graph of a quadratic function y = x^2 – 4 with a minimum value at the point (0,-4)
A. x ≥ 4
B. x ≤ 0
C. all real numbers
D. -2 ≤ x ≤ 2
Answer:
C. all real numbers
Step-by-step explanation:
D(y) = {x / x € R }
_____
Answer:
All real numbers :)
Step-by-step explanation:
Students were polled regarding their favorite sport. The results are shown in the bar graph. Create a circle graph from the data in the bar graph.
Step-by-step explanation:
basketball = 40 %
football = 30 %
baseball = 20 %
soccer = 10 %
A population of emperor penguins has a mean weight of 77 pounds with a standard deviation of 16 pounds. What would be the standard deviation of sample means taken from this population with a sample size of 50?
Answer:
2.263
Step-by-step explanation:
standard deviation of sample means = s/\sqrt{n}
Given
Standard deviation s = 16pounds
Sample size n = 50
Substituting
standard deviation of sample means = 16/\sqrt{50}
standard deviation of sample means = 16/7.071
standard deviation of sample means = 2.263
Hence the standard deviation of sample means taken from this population with a sample size of 50 is 2.263
plss i need the rogth answer i will mark brainliest I BEG OYU PLSS
Answer:
521,400 meters squared
Step-by-step explanation:
With the 1cm = 100m scale
6.6 cm = 660m
7.9 cm = 790m
Area = 660 x 790 = 521,400 meters squared
Linear Equation:
4x - 3y = 1
у
X
Answer:
x (1/4,0) y (0,-1/3)
Step-by-step explanation:
x (1/4,0)
y (0,-1/3)
Please help me for 3, 4, and 5 please
Answer:
Step-by-step explanation:
3: Possible outcomes for a coin flip; heads tails
Total possible outcomes for two coin flips 2*2=4
Out the 4 possible outcomes only 1 of them both times it land on heads
1/4
4: and 5 i dont know
Find the surface area of the regular pyramid.
13 in.
5
5 in.
4.3 in.
The surface area is
square inches.
The surface area of the regular pyramid whose diagram is good one above would be = 102.9 in²
How to calculate the surface area of a regular pyramid?To calculate the surface area of a regular pyramid, the formula given below is used;
Surface area of pyramid = SA = A + 3(1/2bh) = A + 3/2bh,
Where A = area of triangle = ½bh
b = base = 5 in
h = slant height = 13. in
SA = ½× 2.5×4.3 + 3/2×5 ×13
= 5.375 + 97.5
= 102.9 in²
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Don't stress anymore I'm here to help in online mathematics classes I have a doctorate degree in maths
Then I'll definitely will ask you questions about maths :)
Please help me with my homework.
Here is the question. I hope you would help me, I really need answer asap. I need to pass it by 8:30. pls help me
e is 150% more than d . what is the ratio d:e in its simplest form? what is the ratio e:d in the form 1::n
Answer:
d:e is 2:3
Step-by-step explanation:
if 'e' is 150% more than 'd' we can say that 'e' is 1.5 and 'd' is 1
ratio of 1/1.5 or 1÷3/2 is 2/3
Candice bought 2 dozen eggs 9 of the eggs were bad . what percentage of the eggs were good
Answer:
63%
Step-by-step explanation:
2 dozen eggs is 24
24-9=15
15/24=.625 but when you rounded .63
Find the measure of an angle in standard position for each reference angle.
Step-by-step explanation:
1. 90+65= 155°
2. π+ π/6 = 7π/6 or 210°
3. 24+180=204°
4. 3π/2 + 2π/9 = (27π+4π)/18 = 31π/18
or 310°
I
Don’t understand this can someone answer it
Answer:
3x+88+x+36+2x-10=180 (being straight line)
6x+114=180
6x=180-114
x=66/6
x=11
Step-by-step explanation:
Answer:
this question is very simple
we know that
if A , O and B lie on a straight line segment
then
∡AOY+∡YOZ+∡ZOB=180°
so
3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°
the answer is
x=36°
.... please mark as brainliest
A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to investigate whether the number of babies born in a town is uniformly distributed across the months of the year. The test produced a test statistic of χ2=5.6 with a corresponding p-value of 0.90. Which of the following is correct?
a) Births are uniformly distributed across months.
b) There is sufficient evidence to suggest that the distribution of births is not uniformly distributed across months.
c) There is sufficient evidence to suggest that the distribution of births is uniformly distributed across months.
d) There is insufficient evidence to suggest that the distribution of births is not uniformly distributed across months.
e) There is insufficient evidence to suggest that the distribution of births is uniformly distributed across months.
Answer:
D
Step-by-step explanation:
test was taken
can someone please help me find the missing angles to each variable
Answer:
x=130°
y=50°
z=130°
Step-by-step explanation:
__________
Answer:
x = 130°
y = 50°
z = 130°
Step-by-step explanation:
From the diagram, you can see that the angle given, 50° is a vertical angle to y. This means they are equal, so y = 50°.
Next, angle x, and the given 50° angle are supplementary since they form a straight line. Because of this, you get that:
50° + x = 180°
- and -
x = 130°
You can see that angle z is a vertical angle to angle x, so they are equal, which gives you z = x = 130°. --> z = 130°
Hi I'm bad at math the questions is -r - 20r = please help
Answer:
−21r
Step-by-step explanation:
Combine Like Terms:=−r+−20r
=(−r+−20r)
=−21r
Answer:=−21r
please click the crown button (brainliest) thanks!!hope this helps!! <3
what is the volume of a sphere if the radius is 9?
ANSWER IN TERMS OF PI !!!
19 POINTS the answer is not the first or second option I’m maybe think the last one
Select all the statements about rotations that are true
A- The shapes of the figure does not change.
B- The positions of the figure does not change.
C- The size of the figure does not change.
D- The orientation of the figure does not change.
E- The coordinates of the figure do not change.
Please help I will give 100 points
Answer:
a. true
b. false
c. false
d. true
e. false
Step-by-step explanation:
A. true, a shape is not warped by a rotation
b. false, the points on the figure will change
c. false, the size is not affected by a rotation
d. true, the orientation changes in a rotation
e. false, the coordinate points on the figure are altered
Answer:
A- The shapes of the figure does not change.
C- The size of the figure does not change.
D- The orientation of the figure does not change
PLEASE HELP ME
Arnold deposits $6,000 into a certificate of deposit that pays 8% interest compounded quarterly . How much interest does his account earn in the first 3 years?
Answer:
8
Step-by-step explanation:
onvert the unit of weight. Enter your answer in the box.
3/4 lb =
oz
Answer:
3/4 ib = 12 oz
Step-by-step explanation:
HELP Ill give brainlist
Answer:
I think the answer is a
Please and thank you
Answer:
[tex]68^\circ[/tex]
Step-by-step explanation:
FGD is congruent to CGE because they are vertical angles.
Because AB is a line and AGC makes a right angle, then CGB is also a right angle. Thus [tex]\angle{EGB} = \angle{CGB}-\angle{CGE}[/tex], or [tex]\angle{GCE} = 68^\circ[/tex]
write the percent as a decimal
1. 34%
Answer:
Now we can see that our fraction is 2.9411764705882/100, which means that 1/34 as a percentage is 2.9412%.
Step-by-step explanation:
A plane can fly 1440 miles in the same time as it takes a car to go 400 miles. If the car travels 130 mph
slower than the plane, find the speed of the plane.
mph
PLEASE PLEASE HELP
Answer:
The speed will be "144 mph".
Step-by-step explanation:
Let the speed of the plane be "x mph".
then,
The car's speed be "x-130 mph".
According to the question,
⇒ [tex]\frac{1440}{x} =\frac{400}{x-130}[/tex]
By applying cross-multiplication, we get
⇒ [tex]1440(x-130)=400x[/tex]
⇒ [tex]1440x-187200=400x[/tex]
⇒ [tex]1440x-140x=187200[/tex]
⇒ [tex]1300x=187200[/tex]
⇒ [tex]x=\frac{187200}{1300}[/tex]
⇒ [tex]=144 \ mph[/tex]
A map scale reads: 2 inches = 25 miles. Which distance does 6 inches represent
Answer:
the other side
Step-by-step explanation:
Answer:
75 miles
Step-by-step explanation:
2 * 3= 6
25 * 3= 75