Answer:
R = -0.8908
R² = 0.7935
Step-by-step explanation:
Given the data:
X :
5
3
6
3
4
4
6
8
Y :
13
15
7
12
13
11
9
5
Using technology, we could obtain the correlation Coefficient (R) using the Pearson correlation Coefficient calculator :
R = -0.8908 ; This means that there is a strong negative relationship between x and y. That is, an increase in x will lead to a corresponding decrease in y and vice versa.
The Coefficient of determination (R²) ; is obtained by taking the squared value of R
R² = (-0.8908)² = 0.7935 ; This means that about 79.35% of the variation is y is explained by the regression line.
Suppose a tank leaks toxic chemicals. The area affected is a circle centered on the tank. When the spill is first noticed, the circle has a radius of 60 meters. A response team arrives 70 minutes later, by which time the affected area has grown to a circle with a radius of 80 meters.
Required:
How rapidly was the radius of the spill changing between the time the spill was noticed and the arrival of the response team?
Answer:
0.5 ft per min
Step-by-step explanation:
in 80 minutes the radius expanded by 40%
we can set up a proportion of percent change over minutes:
.4/80 = r/1
cross-multiply to get:
80r = .4
r = .005 or 1/2 of a foot per minute.
Hope It Helps :)
The radius of the spill changing between the time of the spill was noticed and the arrival of the response team is 2/7.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Let the radian of the spill at time t be μ(t).
Since, radian increases at a constant rate, we have,
dμ/dt = k
r(t) = kt + c
At t = 0, r = 60 m
60 = k(0) + c
c = 60
At, t = 70, r(70) = 80 m
80 = k(70) + 60
20 = 70k
k = 20/70
k = 2/7
Then, r(t) = 2/7t + 60 and the rate of change of radian of the spill is 2/7 per min.
To know more about equation:
https://brainly.com/question/29657983
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Carol has 8 3/4 yards of material. She needs to use 1/3 of the material to make a dress. How many yard of material will she need to make the dress
9514 1404 393
Answer:
2 11/12 yards
Step-by-step explanation:
Sometimes it works best to use improper fractions when multiplying mixed numbers and/or fractions.
1/3(8 3/4) = 1/3(35/4) = 35/12 = 2 11/12
Carol will need 2 11/12 yards of the material for the dress.
Answer:
2 11/12 yards
Step-by-step explanation:
a stack of 20 identical boxes is 140cm tall Stefan takes 3 boxes of the top how tall Is the stack now
Answer:
119 cm
Step-by-step explanation:
20 - 3 = 17
(140/20)(17) = 119 cm
A marketing researcher must determine how many telephone numbers she needs to order from a sample provider to complete a survey of ATM users. The goal is to complete 400 interviews with ATM users. From past experience, she estimates that 70 percent of the phone numbers provided will be working phone numbers. The estimated incidence rate (percentage of people contacted who are ATM users) is 45 percent. Finally, she estimates from previous surveys that 37 percent of the people contacted will agree to complete the survey. How many telephone numbers should she order to complete the 400 interviews
Answer:
the required number of telephone orders to complete the 400 interviews is 3433
Step-by-step explanation:
Given the data in the question;
Let us represent the telephone numbers the researcher orders to complete the 400 interviews with Y.
Thus, The working phone numbers = 70% × Y
Now, number of ATM users = 45% × The working ph0ne numbers
⇒ 45% × ( 70% × Y )
number of ATM users = 0.45 × 0.70 × Y = 0.315Y
Thus; Number of people contacted that agrees to complete the survey will be;
⇒ 37% × number of ATM users
⇒ 0.37 × 0.315Y = 0.11655Y
so, since the researcher needs at least 400 interviews
Hence;
0.11655Y ≥ 400
Y ≥ 400 / 0.11655
Y ≥ 3432.0034 ≈ 3433
Therefore, the required number of telephone orders to complete the 400 interviews is 3433
x root +29= root 4096
1. The prism below measures 6 inches x 3 inches x 10 inches. A diagonal
line, d, is drawn inside the prism. Find the length of the diagonal, d. *
HELP!!!!
Answer:
C. 12.04 inches
Step-by-step explanation:
Diagonal of a prism cam be solved using the extension of Pythagorean theorem which is given as:
d² = x² + y² + z²
x = 10 in.
y = 6 in.
z = 3 in.
d² = 10² + 6² + 3²
d² = 100 + 36 + 9
d² = 145
d = √145
d = 12.0415946
d = 12.04 inches (nearest hundredth)
Find the value of 11C6
330
0
165
462
Answer:
462
Step-by-step explanation:
(11)C(6) = 11! ÷ 6! 5!
= (11 x 10 9 x 8 x 7) / (5 x 4 x 3 x 2)
= 462
what is the area of a rectangle in sqare inches
Answer:
Step-by-step explanation:
To find the area of a rectangle in square inches simply multiply your measurements for length and width to determine the area of your square or rectangular area in square inches. For example, let's say that, for a rectangular area, you measure a length of 4 inches and a width of 3 inches. In this case, the area within your rectangle is 4 × 3 = 12 square inches.
James has 16 more game cards than Fay. If they have 48 game
cards altogether, find the number of game cards James has.
Answer:
James has 32 game cards
Step-by-step explanation:
X=Fay
x+16=James
X(Fay) + (x+16) James =48
x+x+16=48
2x=32
x=16 Fay
x+16 James
16 + 16=32 James
check answer:
16 Fay + 32 James =48
16+32=48
48=48
write an equivalent expression in word form
3/8 x (1 - 1/3)
Answer:
I think it is 1/4x not sure but try it
HI CAN SOMEONE HELP ME FIND THE VOLUME IN THIS MATH QUESTION TY! :)
Answer:
36/7 ft³ or 5 1/7 ft³Step-by-step explanation:
The volume of the rectangular prism is:
V = lwhV = 5/9*1/5*4/7 = 36/7 ft³ or 5 1/7 ft³Help, will mark brainliest, and show work
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).
Thus, we can set up the following proportion:
[tex]\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}[/tex]
?! if you make $20,800 a year, what is your weekly salary? there are 52 weeks in a year
Answer:
you would make 400 each week
Step-by-step explanation:
75.12 increased by 30% is
Answer:
97.656
Step-by-step explanation:
75.12 * 1.3 = 97.656
Answer:
22.536
Step-by-step explanation:
=75.12 × 30÷100
= 75.12 × 0.3
= 22.536
= 22.54
Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
We have four copies of '2' and one copy of '5' multiplied together
This is the same as saying 2^4*5
=========================================
Explanation:
Divide 80 over the smallest prime factor, which is 2
80/2 = 40
Divide that result over 2
40/2 = 20
Keep going until you cannot divide by 2 anymore
20/2 = 10
10/2 = 5
We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.
Therefore: 2*2*2*2*5 = 80
In shorthand, this condenses to 2^4*5 = 80
The factor tree is shown below. Other factor trees are possible.
Find the measure of each numbered angle !! (You don’t have to answer for all of them, I just need at least one )
Answer:
7. 123
8. 38
9. 68
10. 65
11. 113
12. 52
Step-by-step explanation:
Answer:
7) 123°
8) 38°
9) 68°
10) 65°
11) 113°
12) 52°
The sportswear department had net sales of $550,000 last year, with markdowns of $33,000. This year plan sales are
$575,000. If the buyer is planning the same percent of markdowns this year as last year, what is the plan markdown dollars
for this year?
Answer:
$34,500
Step-by-step explanation:
1% of 550,000 = 5,500
33,000÷ 5,500 = 6%
1% of 575,000 = 5,750
5,750 x 6 = 34,500
I need help with this
Answer:
is b
Step-by-step explanation:
porque si miras el (5) tienes que sacar la tercera parte pero la respuesta que es la mitad es 2
Xavier needs to bike a minimum of 80 miles this week for his training. If he has already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week?
A. x ≥ 12
B. x ≥ 11
C. x ≤ 10
D. x ≥ 10
Answer:
B x >= 11
Step-by-step explanation:
80 miles total, 14 miles already done => 80-14=66 miles left.
66 miles distributed evenly across 6 days means 66/6=11
HELP ME PLEASE I NEED HELP
What are the characteristics of a function and how can we identify them?
Answer:
A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.
x is most of the time the input and y the output for an equation:
y = 2x
of course the input and output could be any variable.
Step-by-step explanation:
Have a nice day!
amelia used 6 liters of gasoline to drive 48 kilometers.
how many kilometers did amelia drive per liter?
at that rate, how many liters does it take to drive 1 kilometer?
A candy company wants to create a wrap around label for a candy bar which will go around the candy bar. The candy bar is in the shape of a triangular prism where the triangle is an isosceles triangle. The company packages 24 candy bars in each case. How many square centimeters of paper will be needed to create labels for a case of candy bars?
Answer:
b
Step-by-step explanation:
Determine which of the following ordered pairs satisfies the given system of equations.
{−2x+y=8y=2x5−8
Answer:
(-3,2)
Step-by-step explanation:
Which expression uses the associative property to make it easier to evalute?
Answer:
The correct option is (c).
Step-by-step explanation:
The given expression is :
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]
We need to use the associative property to make it easier.
The associative property for multiplication is as follows :
[tex]A\times (B\times C)=(A\times B)\times C[/tex]
We have,
[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]
Hence, the correct option is (c).
What’s the exact volume of the cone?
Answer:
3.......................
If θ is a second-quadrant angle and cosθ = - 2/3, then tanθ=
a. -2 (sqrt 5)/5
b. - (sqrt 5)/2
c. - (sqrt 5)/3
Answer:
since in second quadrant cos θ is negative.
Cos θ=b/h=2/3
b=2
h=3
p=√(3²-2²)
p=√5
Now
Tan θ=p/b=√5/2
since in second quadrant tanθ is negative
so
Tanθ=-√5/2
b. - (sqrt 5)/2
In second Quadrant cos is negative
cosØ=b/h=2/3So
b=2 and h=3
Perpendicular
p²=h²-b²p²=3²-2²p²=5p=√5tanØ=-p/b =-√5/2
HELP ME PLEASEEEEEEEEEE
Answer:
(-3,3) and (4,0) are inside the triangle.
I don't really understand how to do this if you could help please help asap, thank you
Answer:
C
Step-by-step explanation:
Just use elimination strategy
If 3x + 11 = 4x - 5, what is x?
Answer:
16v
Step-by-step explanation:
3x + 11 = 4x - 5
11+5 = 4x -3x
x = 16
I hope im right!!