The linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.
Linear regression equation and correlation coefficienta. Linear regression equation:
We would make used of graphing calculator in order to determine the linear regression equation by plugging the below given data and then click on stats so as to perform a linear regression.
Given table:
(x, y), (0, 68), (10, 84), (15, 104), (20, 100), (30, 120)
Hence:
a = 1.72
b = 69.4
Equation
y = ax + b
y = 1.72x + 69.4
b. Correlation coefficient :
Correlation coefficient = 0.967
Correlation coefficient=0.97 (nearest hundredth)
Analysis:
The above correlation coefficient shows a strong positive correlation between the number of jumping jacks and the heart rate.
Therefore the linear regression equation that estimates the heart rate per number of jumping jacks is: y=1.72x + 69.4; the correlation coefficient of the linear regression equation is 0.97.
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if m<1=2x+2 and m<2=9x, find m<1
Answer:
18/7
Step-by-step explanation:
Since m<2 includes 1, m<2 = m<1
9x = 2x + 2 ⇒ 7x = 2 ⇒ x = 2/7
m<1 = 2(2/7) + 2 = 4/7 + 14/7 = 18/7
#5. Which equation represents the linear function shown in the table? *
х: 2, 4, 6
у: -1, -5, -9
O y = -2x + 3
O y = 2x + 3
O y = -3x + 2
O y = 3x - 2
#5. Which equation represents the linear function shown in the table? *
х: 2, 4, 6
у: -1, -5, -9
O y = -2x + 3 ✓ putting the value of x as 2 & y as -1⇢-1 = -2 x 2 +3
⇢-1 = -4+3
⇢-1 =-1 ✓
putting the value of x as 4 & y as -5⇢-5 = -2 x 4 +3
⇢-5 = -8 +3
⇢-5 = -5 ✓
putting the value of x as 6 and y as -9⇢ -9 = -2 x 6 +3
⇢ -9 = -12 +3
⇢ -9 = -9 ✓
O y = 2x + 3
O y = -3x + 2
O y = 3x - 2
The solution is, O y = -2x + 3, represents the linear function shown in the table.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
let the equation be y = -2x + 3.
putting the value of x as 2 & y as -1
⇢-1 = -2 x 2 +3
⇢-1 = -4+3
⇢-1 =-1 ✓
putting the value of x as 4 & y as -5
⇢-5 = -2 x 4 +3
⇢-5 = -8 +3
⇢-5 = -5 ✓
putting the value of x as 6 and y as -9
⇢ -9 = -2 x 6 +3
⇢ -9 = -12 +3
⇢ -9 = -9 ✓
we get, that this satisfies the conditions,
so, we have, O y = -2x + 3
Hence, The solution is, O y = -2x + 3, represents the linear function shown in the table.
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Find the most important variable in the problem. How long does it take to drive 341 miles at 63 miles per hour? A. The rate of travel B. The time it takes to complete the trip C. The total distance of the trip
The time it takes to complete the trip
23. Gheri is n years old. Carl is 6 years younger than Gheri and 2 years older than Jean. What is the sum of the ages of all three?
Which linear inequality represents the solution set graphed?
Answer:
it's A
Step-by-step explanation:
I dId this in 6 grade I hope this help
write the following ratio as a fraction in lowest terms
5/3to7/6
10/7
hope it helps...!!!
Which expressions are equivalent to the given expression?
√40
O 1602
0 401
2√10
0 5√8
☐ 4√10
[tex]2\sqrt{10}[/tex] is equivalent to the expression [tex]\sqrt{40}[/tex]
entire to mixed radical:
[tex]\sqrt{40} \\\sqrt{4\ x\ 10} \\2\sqrt{10}[/tex]
decimal value:
[tex]2\sqrt{10}=6.32....\\\sqrt{40}=6.32...[/tex]
A bracelet costs $15. A matching necklace costs 3 times as much as the bracelet.
fcis the cost of the necklace, which equation models the cost of the
necklace and
shows the solution?
$15 = 3= CC= $5
А
B
$15 X 3 = cc = $45
С
$15 + 3 = cc = $18
3 x $15 + $15 = cc = $60
D
Answer:
B
$15 X 3 = cc = $45
Step-by-step explanation I asked my teacher and it was right
Can anyone answer the first one please?
Answer:
about 11.99 inches
Step-by-step explanation:
Using the formula for the volume of a right circular cylinder:
[tex]\pi {(4.5}^{2} )h = 763[/tex]
[tex]h = 11.994[/tex]
A circular pizza has a diameter of 18 inches and is cut into 12 congruent slices. What is the area of each slice, to the nearest tenth?
Group of answer choices
9.8 straight pi inches squared
1.5 straight pi inches squared
6.8 straight pi inches squared
27.3 straight pi inches squared
Answer:
6.8
Step-by-step explanation:
Help pls i need this today
:>
!!!
Answer:
c is the correct one
Step-by-step explanation:
6/8 = 0.75 > 4/8 = 0.5
can someone help with this?
Please Help !!!
Serena took two numbers which may or may not be integers, rounded
each of them up to the nearest integer, multiplied the results, and
got 100. When she took the original numbers, rounded each of them
down to the nearest integer and multiplied the results, she got X.
Find the largest possible value of X.
( The Answer is 202, please give a step by step solution)
Thank You
Recall (or "define", if you're not familiar) the so-called ceiling and floor functions, or least/greatest integer functions, respectively; for any integer n,
• ceiling function:
[tex]\lceil x \rceil = n \text{ if } n-1 < x \le n[/tex]
• floor function:
[tex]\lfloor x \rfloor = n \text{ if } n \le x < n+1[/tex]
Let x and y be the two numbers Serena picks. She finds that
[tex]\lceil x \rceil \lceil y \rceil = 100[/tex]
[tex]\lfloor x \rfloor \lfloor y \rfloor = X[/tex]
Assume x and y are not integers. Let m and n be two integers such that m - 1 < x < m and n - 1 < y < n. Then
[tex]\lceil x \rceil \lceil y \rceil = mn = 100[/tex]
so m and n are divisors of 100. There's a finite number of distinct divisor pairs (m, n) to consider,
(± 1, ± 100), (± 2, ± 50), (± 4, ± 25), (± 5, ± 5)
whose sums can be one of
± 101, ± 99, ± 52, ± 48, ± 29, ± 21, ± 10, 0
Similarly,
[tex]\lfloor x \rfloor \lfloor y \rfloor = (m-1)(n-1) = 101 - (m + n) = X[/tex]
which is maximized if the sum m + n is negative; the largest of these is m + n = -101, so the maximum value of X is 101 + 101 = 202.
The reasoning for the case of either x or y, or both, being integers is nearly identical.
2 ≤ -1t Find variable of t
Please show your work
Answer:
t≤. -2
Step-by-step explanation:
2≤ -t
Dividing both sides by -1,
The sign flips over,
2/-1 ≥ -t/-1
-2≥t
t≤-2
A tree in Kira's backyard is 1/4 meters tall. It has been growing for 2 4/5 years.
What is the unit rate in meters per year?
Answer:
0.0893 meters per year
Step-by-step explanation:
1/4 is 0.252 4/5 is 2.8divide height by year to get height gain per year0.25/2.8 = 0. 0893 (to 3 SF)find three consecutive positive integers such that the product of the first and the third integer os 29 more than the second
Answer:
5, 6, 7
Step-by-step explanation:
let the 3 consecutive integers be n , n + 1 , n + 2 , then
n(n + 2) = n+ 1 + 29
n² + 2n = n + 30 ( subtract n + 30 from both sides )
n² + n - 30 = 0 ← in standard form
(n + 6)(n - 5) = 0 ← in factored form
equate each factor to zero and solve for n
n + 6 = 0 ⇒ n = - 6
n - 5 = 0 ⇒ n = 5
n > 0 , then n = 5
the 3 integers are 5, 5 + 1, 5 + 2 , that is
5, 6, 7
Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5 inches thick and 3 feet long. The board weighs approximately 8.05 pounds.
Part A
Which shapes can you use to model the log and the board?
Answer:
log = cylinder
board = rectangular prism
Step-by-step explanation:
The log has a radius of 5 in and a length of 30 in.
This implies that the cross-section is a circle, and so it can be modeled as a cylinder.
The board has a width of 5.5 in, a height of 1.5 in and a length of 3ft.
Therefore, it can be modeled as a rectangular prism.
Schools
Name
7th Grade Math EOY, L104 (Statistics and Probability)
Non-Uniform Probability Models
Homework
1. A box contains marbles of the following colors:
Blue
14
Green
10
Yellow
S
Red
68
(a) Create a probability model showing the theoretical probabilities of picking a marble
from the box
2. Tanya has 3 red hats and 2 blue hats. If she picks one hat at random 100 times, how
Date
Team
Answer:
this is too much, and I forgot how to do this
13, 15, 17, x, 20, 21; The median is 18.
To find the median
⇒ must define what is a median
⇒Definition of median: middle number of an ordered set
Lets look at the information given
Set when ordered: 13,15, 17,x,20,21 with median of 18
⇒ In this case, there is an even number of numbers
⇒ to find the median
⇒ must find average of two numbers closest to the middle
⇒ which are 'x' and '17' which is equal to the given median 18
Let's set up the equation:
[tex]\frac{x+17}{2} =18\\x+17=36\\x=19[/tex]
Answer: x = 19
Hope that helps!
If a soccer team made 34 penalty shots out of 100, what fraction and what
percentage of penalty shots did the team miss?
O A.
34
100
I B. 66%
O
C.
66
100
D. 34%
E.
70
100
F. 0.34%
Answer:
66% Missed (Percentage Form)
66/100 Missed (Fraction Form)
Step-by-step explanation:
100-34 = 66
66/100 Shots missed
66/100 to percentage is 66%
66% shots have been missed.
7. The graph shows the height, h, in feet, of water
sprayed from a fountain as a function of the
horizontal distance, d, in feet, the water has
traveled.
Water Fountain
h
3
69 12 15
Horizontal Distance (ft)
What is the domain of the function described in the
graph?
OA. All whole numbers less than or equal to 16
OB. All non-negative real numbers less than or
equal to 18
OC. All non-negative real numbers less than or
equal to 16
OD. All whole numbers less than or equal to 18
Height (ft)
20
16
12
18
The domain is talking about the "range" of the horizontal axis therefore you will be focusing on the x-intercepts.
The answer will be All non-negative real numbers less than or equal to 18
because the x-intercepts lies at 0 and 18. The answer makes sense because the furthest you can go is 18 ft and the closest you could go is 0 ft. The "all non-negative real numbers" puts a restriction on the least distance it could travel so that means that it stops at 0 ft because if you go any further, you will end up in the negatives and it clearly states "non-negative".
Manuel Labore earns $19.50 / hr. and works an average of 38 hours a week. He is considering to renting a house for $1,700 / month. His real estate friend recommends he spends no more than 28% of his monthly income in housing.
A) What is 28% of Manuel’s monthly income?
B) Can he afford the home
Answer:
see below
Step-by-step explanation:
assuming 4 weeks in a month
$19.50 * 38 * 4 = $ 2964 per month
.28 * 2964 = 829.92
He really cannot afford this rent......
Answer:
A. $829.92 B. No
Step-by-step explanation:
A. 38 hours time $19.50 = $741 per week; Monthly: $741 x 4 = $2,964.00
28% of monthy income = .28 x $2,964.00 = $829.94
B. No, he can not afford the home. Cost of the home is $1, 700.00
( No more than 28%) well 28% of $2,964 = $829.94
what is the answer for 10^30 kg
Answer:
1000000000000000000000000000000 kg / 1E + 30 kg
Step-by-step explanation:
10³⁰ kg
Calculate 10 thirty times,
= (10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10) kg
=1000000000000000000000000000000 kg
= 1E + 30 kg
_____________
Hope it helps ⚜
[tex] {10}^{30} [/tex]
solution:[tex] {10}^{30} [/tex]
[tex] = 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10[/tex]
[tex] = 100000000000000000000000000000[/tex]
[tex] = 1.0e30 \: kg[/tex]
Julia's car used 1/100 of a gallon to travel 0.25 miles. How many miles can the car go on one gallon of gas? On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, whole numbers, or decimals. miles 0 gallons Enter your final answer as a whole number or decimal.
Answer:
25 miles
Step-by-step explanation:
well
1/100 = 0.25
10/100 = 2.5 (Because 0.25 x 10)
100/100 = 25 (Because 0.25x100)
your parents bought a boat for $60,000. The boat depreciate by 9.3% each yea. When will the boat be worth less than $10,000?
4) The black square is a dilation of the blue square. What is the scale factor of the dilation?
A) 1/4
B) 1/3
C) 3
D) 4
A number is multiplied by 20, and that product is added to 5. The sum is equal to the product of 5 and 13.
Answer:
x = 3
Step-by-step explanation:
First, you will pick the first equation :
(x*20)
Then the next,
(x*20) + 5
Then the last equation,
(x*20) + 5 = 5*13
Then you solve
20x + 5 = 65
20x = 65 - 5
20x = 60
20x/20 = 60/20
x = 3
The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two cells are measured using this method: Cell E: 8.39 x 10-² centimeters Cell F: 6.01 x 10-3 centimeters What's the difference between the diameters of the two cells? Express your answer using either standard notation or scientific notation.
Answer:
7.789×10^-2 = 0.07789 cm
Step-by-step explanation:
Your calculator can find the difference of the two given diameters and express it in any format you like.
The attached image of a calculator display shows the difference of the cell diameters is 0.07789 = 7.789×10^-2 cm.
__
The difference of two numbers with different exponents is found by first adjusting the exponents so they are the same. Here, we choose to adjust both numbers so they have the highest exponent value.
8.83×10^-2 - 6.01×10^-3
= 8.39×10^-2 - 0.601×10^-2 = (8.39 -0.601)×10^-2 = 7.789×10^-2
Alternatively, you can convert both numbers to standard form and do the subtraction that way.
8.83×10^-2 - 6.01×10^-3
= 0.0883 -0.00601 = 0.07789
_____
Additional comment
The second attachment shows the relationship between place values and their multiplier in scientific notation.
__
The choice of exponent when computing the sum or difference of numbers in scientific notation is usefully informed by an estimate of the value of the sum or difference. A proper choice can avoid the need to adjust the exponent of the result of the operation. Here, we see the subtraction will change the larger value by less than 10%, so the exponent of the result in scientific notation will be that of the larger value (-2).
select the correct answer.
What is the value of this expression when c= -4 and d = 10?
1(3+2)
ОА.
2
ОВ.
B. 9
C. 21
D 41
Hey there!
To answer this question you have to plug in your values and do PEMDAS.
PEMDAS simply means
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
WE CAN ANSWER THE EQUATION
1/4(c^3 + d^2)
= 1/4(-4^3 + 10^2)
= 1/4(-64 + 100)
= 1/4(-64) + 1/4(100)
= -16 + 25
= 9
OR
1/4(c^3 + d^2)
= 1/4(-4^3 + 10^2)
= 1/4(36)
= 9
Therefore, your answer is: 9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Ms. Johnson's sixth grade class handed out surveys,
one to each student, about hair color and later posted the results:
75% of students had brown hair
20% of students had red hair
10% of students had blonde hair
What is the error in this sampling?
OA. Not that many students had brown hair.
O B. No one kept track of the number of surveys that went out.
O C.
The results add up to more than 100%
O D. Only two students were involved in tabulating the results.
Answer:
b
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
this should be obvious as 75 + 30 = 105