r = - 0.98754
Answer:
Slope = - 0.7120
SE = 1.295
Step-by-step explanation:
Given the data:
0 | 33.3
0 | 31.0
3 | 29.8
3 | 27.8
6 | 28.0
6 | 29.0
10 | 25.5
10 | 23.8
20 | 18.3
20 | 15.5
30 | 11.7
Using the relation to Obtian the slope :
Slope, b = r(Sy/Sx)
r = correlation Coefficient ; Sy = standard deviation of Y - values ; Sx = standard deviation of X-values
r = - 0.98754
Slope, b = - 0.98754(7.8471 / 10.884) = - 0.7120
SE = √SSresidual / df
df = n - 2 = 12 - 2 = 10
SSresidual = 16.7812
SE = √(16.7812/ 10)
SE = 1.295
A circle has a diameter of 10cm. Find the Area of this circle. Use 3.14 for Pi.
Step-by-step explanation:
to find area
A = Pi x r^2
r = d/2 = 10/2 = 5
An employee worked for 8 hours on 2 days, 6 hours on 1 day, and 4 hours on 2 days. What is the average number of hours the employee worked per day
Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. They randomly assigned 20 participants to either a control group or a relaxation training group and recorded the change in number of headaches each group reported the week before training to the week after training (the control group received no training). Which statistical analysis would we perform to see whether the training helped the participants in that group as compared to the control group
Consider a city whose streets are laid out as a grid. Streets run north-south or east-west. A visitor is dropped off by a cab at a certain intersection and would like to visit a museum that is 6 blocks to the east and 3 blocks to the north of his current location. The visitor always takes a direct path and never travels west or south in the course of his walk. How many distinct paths are there for the visitor to walk to the museum
Answer:
84 possible paths
Step-by-step explanation:
Given
[tex]N =3[/tex] --- 3 blocks north
[tex]E = 6[/tex] --- 6 blocks east
Required
Number of distinct path
To solve this question, we make use of the following formula
[tex]^{m+n}C_n \ =\ ^{m+n}C_m[/tex]
The above formula implies that;
On a single path, there is a total of m + n steps to get to a particular position, where each path is either in m direction or n direction.
In this case:
[tex]m = 3[/tex]
[tex]n = 6[/tex]
So, we have:
[tex]^{m + n}C_n = ^{3+6}C_6[/tex]
[tex]^{m + n}C_n = ^9C_6[/tex]
Apply combination formula
[tex]^{m + n}C_n = \frac{9!}{(9-6)!6!}[/tex]
[tex]^{m + n}C_n = \frac{9!}{3!*6!}[/tex]
Expand the numerator
[tex]^{m + n}C_n = \frac{9*8*7*6!}{3!*6!}[/tex]
[tex]^{m + n}C_n = \frac{9*8*7}{3!}[/tex]
Expand the denominator
[tex]^{m + n}C_n = \frac{9*8*7}{3*2*1}[/tex]
[tex]^{m + n}C_n = \frac{504}{6}[/tex]
[tex]^{m + n}C_n = 84[/tex]
Hence, there are 84 possible paths
[tex]^{m + n}C_m[/tex] will also give the same result
WHATS THE ANSWER?? answer ASAP NO FILE
Answer:
a
Step-by-step explanation:
it is a because the shape is moving to the side
Answer:
The answer is B!
Two candidates run for class president. After all the ballots are counted, one candidate has 50% of the votes. What decimal names the portion of the votes the second candidate has? Explain
Answer:
This link should help
Step-by-step explanation:
http://www.uvm.edu/~eclark/Math017LectureNotes.pdf
Answer:
0.50
Step-by-step explanation:
Because decimals are correlated with fractions, and fractions are correlated with percentage.
Essentially, everything is out of a hundred. For example, 100% is max capacity(aka the votes in this question).
In decimals, 0.50 is half of 1.00 which is essentially also max capacity. Following this logic, if you convert 50% into decimal form, it will be 0.50, and 0.50 is one half of 1.00. The other half must be 0.50 then, because if you subtract it, that's what you get, and you can check by adding it together.
Hope this helps.
A figure was created using a tangle and a semicide. Use the ruler provided to measure the
dimensions of the triangle and the semidecle to the nearest centimeter. Which measurement is the closest to the area of the figure in square centimeters
Anna has 32 red beads, 16 blue beads, and 8 green beads. She wants to put an equal number of each kind of bead on necklaces she is making. How many of each kind of bead can Anna put on each necklace?
8
2.4 or 8
2 or 4
1 .2.4, or 8
Answer:
8 of them would probably fit on there
What is 56 1/2% written as a fraction in the simplest form?
Answer:
7 / 28
Step-by-step explanation:
7 / 28 = 0 . 28
What is the volume of the container below?
Answer:
124 would be the volume............ but I don't see that
help me plz god bless
Answer:
D.
Step-by-step explanation:
When graphing, start by the y intercept.
y = 3x + 3 meaning 3 units up since the y intercept is 3
y = 3x + 3 then 3 extra units up since the slope and then one unit to the right
God bless you as well!
How many times larger than
Answer:
i believe its D
Step-by-step explanation:
6th grade,PLSSSS HELP ME PLSSS, it’s on the imagee
Answer:
1, 2.5 at the top and 50 at the bottom
2
Find the lateral area and the surface area of the cone. Keep answer in exact form.
12 ft
16 ft
lateral area
surface area -
Answer:
I think:
192 lateral area
56 surface area
If Im wroung Im very sorry
Please help I don’t have much time
Answer:
Second answer choice
Step-by-step explanation:
Good luck
Answer:
6/y8
Step-by-step explanation:
When rotated about its center, a regular nonagon has__
rotational symmetries. In addition to rotational symmetry, a regular nonagon has __
lines of reflectional symmetry.
Answer:
Symmetry in a regular nonagon
A regular nonagon has 9 lines of symmetry and a rotational symmetry of order 9, meaning that it can be rotated in such a way that it will look the same as the original shape 9 times in 360°. Nine 40° of rotation about the center.
Step-by-step explanation:
Question 5 of 10
The chord BC is a diameter of OO.
A. True
B. False
Answer: it’s true i just did the quiz
Step-by-step explanation:
Chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
O is the center of the Circle
Chord BC is the line segment passing from the center of circle
Chord is a line segment whose end points lies on the circle.
Diameter is defined as a line segment passing from the center of the circle whose end point lies on the circle.
A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.
Hence, chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ7
Use a ratio box to solve this problem: After working 6 months, Martha received a raise of 20%. If
Martha's previous pay was $6.90 per hour, what was ber hourly pay after the raise?
Please put step by step
Answer:
$6.90+20%-6 months to get this answer
08-31
[tex] - 1 \times \frac{1}{2} [/tex]
Answer:
- 23
- 0.5
Step-by-step explanation:
- 31 + 8
- 23
- 1 × 0.5
Find the area of the composite figure.
A. 65.1 sq in
B. 90.3 sq in
C. 106.3 sq in
D. 241.1 sq in
Answer:
I think B but not so sure
Hoping you have a good dayAnswer:
Step-by-step explanation:
radius of semi circle=8/2=4 in
height of triangle=14-4=10 in.
area of composite figure=1/2×8×10+π×4²=40+16 π≈90.3 sq. in
Each girl on a cheerleading squad bought a bear. The leader paid for their cheerleading outfits for each of them. She spent $175. Write and solve an equation to find how many cheerleading outfits, c, the leader bought. Cheerleading outfit cost- $12.50
Answer:
175 ÷ 12.50 = 14
Step-by-step explanation:
The ratio of green houses to white houses on Winthrop Street is equal to
2 to 3. There are 60 white houses on Winthrop Street. How many green houses are there?
A 20 C 40
B 30 D 60
please show step by step
Answer:
C
Step-by-step explanation:
2:3 = x:60
3 → 60 (*20)
2*20=40
Answer:
40 green houses
Step-by-step explanation:
Because the ratio is given, you can use the criss-cross method.
2:3
?:60
All you do is multiply 60 by 2 then divide by 3
(60×2)/3=40
(8 2/3 - 3 1/2) x (4 1/6+2 1/3)
Problem:
Prove the following:
(a) Suppose that a; b > 0. If a < b; then a2 < b2: (b) Suppose that a; b > 0. If a2 < b2; then a < b:
Answer:
a)
We know that:
a, b > 0
a < b
With this, we want to prove that a^2 < b^2
Well, we start with:
a < b
If we multiply both sides by a, we get:
a*a < b*a
a^2 < b*a
now let's go back to the initial inequality.
a < b
if we now multiply both sides by b, we get:
a*b < b*b
a*b < b^2
Then we have the two inequalities:
a^2 < b*a
a*b < b^2
a*b = b*a
Then we can rewrite this as:
a^2 < b*a < b^2
This means that:
a^2 < b^2
b) Now we know that a.b > 0, and a^2 < b^2
With this, we want to prove that a < b
So let's start with:
a^2 < b^2
only with this, we can know that a*b will be between these two numbers.
Then:
a^2 < a*b < b^2
Now just divide all the sides by a or b.
if we divide all of them by a, we get:
a^2/a < a*b/a < b^2/a
a < b < b^2/a
In the first part, we have a < b, this is what we wanted to get.
Another way can be:
a^2 < b^2
divide both sides by a^2
1 < b^2/a^2
Let's apply the square root in both sides:
√1 < √( b^2/a^2)
1 < b/a
Now we multiply both sides by a:
a < b
On a standardized test, the mean is 37 and the standard deviation is 2.5. Approximately what percent of the scores fall in the range 32 - 42 ?
A) 68%
B) 95%
C) 34%
D) 99%
Answer:
B) 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 37, standard deviation = 2.5
Approximately what percent of the scores fall in the range 32 - 42 ?
32 = 37 - 2*2.5
So 2 standard deviations below the mean
42 = 37 + 2*2.5
So 2 standard deviations above the mean.
This question is the percentage of scores within 2 standard deviations of the mean, so, by the Empirical Rule, it is 95%, option B.
Need help no links please ASAP
a car gets 30 miles per gallon of gas. at this rate, how many gallons would it take for the car to go 360 miles
Answer:
The car would need 12 gallons of gas to go 360 miles
Step-by-step explanation:
360÷30=12
Answer:
it would take 12 gallons of gas
Step-by-step explanation:
[tex]360 \div 30 = 12[/tex]
I need help with this one .
Answer:
32/9
Step-by-step explanation:
2 to the fifth power is 32. 3 to the second power is 9.
What is the answer to 17 and 18?
Answer:
17: 16.97
18: 17
Step-by-step explanation:
A cross section is made parallel to the bases of a right triangular prism. Which of the following statements is true regarding the area of the cross section and the area of the base?
The area of the cross section is less than the area of the base.
The area of the cross section is greater than the area of the base.
There is insufficient data to determine these area relationships.
The area of the cross section is equal to the area of the base.
Answer:
The area of the cross section is equal to the area of the base.
Step-by-step explanation: