Based on the correlation coefficient between sodium and the calories in the meal, we can say that there is a strong positive correlation, and it is not likely causal.
What do correlation coefficients tell us?Correlation coefficients are used to show the strength of a correlation between two variables. They go from -1 to 1 and the closer to figure is to 1, the stronger the correlation between the two.
If the figure is close to 1 (instead of -1) as is the case here it means that there is a positive correlation.
Correlation however, does not mean causation which is why there is a strong positive correlation between Sodium and calories with a coefficient of 0.74, but its likely that this isn't causal.
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pls help and thank you
Answer:
cost price of the bat: $3130.43
Step-by-step explanation:
3600/1.15 = 3130.43
Hope this helps
C. A store window has a perimeter of 18 feet. The width
is 6 feet. Find the length and the area.
211 +18).
Mick recently had new carpet installed. the cost of the carpet including installation was $8.14 per square foot before any discounts. the rectangular room he had carpeted measured 24 feet long and 18 feet wide. if mick actually paid $3,235.16, what discount percentage did he receive? assume there are no taxes.
Answer:
8%
Step-by-step explanation:
Let’s first determine the cost before any discount.
To do so, we first need to determine the area to be carpeted:
Area of Rectangle = Length × Width = 24 ft × 18 ft = 432 square feet.
To find the cost before discount we need to multiply the area by the cost per square foot:
Cost Before Discount = Area × Cost per square foot
Cost Before Discount = 432 square feet × $8.14 per square foot
Cost Before Discount = $3,516.48
We can now determine the discount percentage he received:
Cost After Discount = Cost Before Discount − (Discount % × Cost Before Disc.)
$3,235.16 = $3,516.48 – (Discount % × $3,516.48)
To solve, it is easiest to plug in each answer to see which discount percentage is the correct solution (i.e. “work backwards” from the given answers) or use the equation solver on our calculator.
We find that a discount of 8% is the correct solution.
If you instead prefer to use algebra to solve for the discount percentage, here are the steps.
We will rewrite the equation, using x to represent “Discount %”.
$3,235.16 = $3,516.48 − (x × $3,516.48)
$3,235.16 = $3,516.48 − $3,516.48x
Factoring out $3,516.48 we have:
$3,235.16 = $3,516.48(1 − x)
Note: Once you get comfortable with this type of problem you should skip straight to the step above.
Dividing both sides by $3,516.48 we have:
$3,235.16$3,516.48=1−x
0.92 = 1 − x
x = 0.08 = 8%
Write the system of equations and construct the corresponding matrix model for the following exercise.Suppose that one of three different alleles is present in each individual in a population. In each generation the following happens: 8% of individuals carrying allele X mutate to carry allele Y, 6% mutate to allele Z; and the rest remain unchanged; 0.1% of individuals carrying allele Y mutate to carry allele Z and the rest remain unchanged; 90% of individuals carrying allele Z mutate to carry allele X and the rest remain unchanged.
The system of equations and the corresponding matrix model for the following above is given and explained below.
What is a system of equations?A system of Equations refers to a set of equations that one must solve or interact with all at once.
What is the system of equation for the exercise above?Let's call the person who carries alleles X, Y, and Z - Xt, Yt, and Zt, respectively.
Also, lets assume that 5 percent of X alleles mutate from X to Y and 3 percent mutate from X to Z in each generation, thus the percent of X alleles remains constant at:
100 - (5 percent + 3 percent) = 92 percent.
Also, because only 0.1 percent of Y alleles evolve from Y to Z, the percentage of Y alleles remains constant at 99.9%.
We must also consider that 90 percent of Z alleles do not change from Z to X, implying that 10% of Z alleles are indifferent.
Hence, the various equations describing the system will be given as:
Xt+1 = 0.92Xt + 0.92Zt
Yt+1 = 0.05Xt + 0.999Yt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt
or
Xt+1 = 0.92Xt + 0.000Yt + 0.9Zt
Yt+1 = 0.05Xt + 0.999Yt + 0.0Zt
Zt+1 = 0.03Xt + 0.01Yt + 0.1Zt.
The Matrix Model is given as follows:
[tex]\begin{bmatrix}X_{t+1} \\Y_{t+1} \\Z_{t+1} \end{bmatrix}[/tex] = [tex]\left[\begin{array}{ccc}0.92&0&0.9\\0.05&0.999&0\\0.03&0.001&0.1\end{array}\right][/tex] = [tex]\begin{bmatrix}X_{t} \\Y_{t} \\Z_{t} \end{bmatrix}[/tex]
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RIGHT ANSWER GETS BRAINLIST WORTH 30+ POINTS
Two number cubes are rolled.
What is the probability that the first lands on 6 and the second lands on an even number?
Select your answer, as a fraction in simplified form.
Question 5 options:
1/6
2/6
1/12
1/3
Answer:
Hi. Here is your answer:
1/6
Step-by-step explanation:
this is because 1/6 is equal to 5/30 of your answer.
here is proof.
which school do you go to?
Hope this helps
Brainliest please
Have a great day
Please fully rate!
The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
Calculation of the probabilities:Since The probability of rolling a [tex]6[/tex] should be [tex]\frac{1}{6}[/tex] because there are [tex]6[/tex] total numbers.
Now The probability of rolling an odd number is [tex]\frac{1}{2}[/tex], since there are an equal number of odd and even numbers on a die.
Now the final probability should be
[tex]=\frac{1}{6}*\frac{1}{2}[/tex]
[tex]=\frac{1}{12}[/tex]
Therefore, The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
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Solve the system using linear combination. Show all work.
{9x + 4y = 28
{2x + 4y = 0
Answer:
(4,-2)
Step-by-step explanation:
What is linear combination?
Linear combination is the process of adding two equations to eliminate a variable so that we are able to solve for the other variable.
Here we are given the two equations 9x + 4y = 28 and 2x + 4y = 0. We can use linear combination to cancel out the two 4y terms leaving us with only x variables in which we can solve for.
Adding the two equations. (subtracting the second equation from the first) we really are subtracting the second equation from the first because if we were to add we would get 4y + 4y which wouldn't cancel out the terms therefore we would have to subtract the two equations to get 4y - 4y which cancels out the terms.
9x + 4y = 28
- (2x + 4y = 0)
==> remove parenthesis and apply negative sign
9x + 4y = 28
-2x - 4y = -0
----------------------
7x = 28
==> divide both sides by 7
x = 4
Finding the y value:
The solution is written as (x,y) meaning we also need the value of y. To find it we can plug in the value of x into one of the equations and then we can solve for y.
2x + 4y = 0
==> plug in x = 4
2(4) + 4y =0
==> multiply 2 and 4
8 + 4y = 0
==> subtract 8 from both sides
4y = -8
==> divide both sides by 4
y = -2
so we have x = 4 and y = -2
the solution of the equation would be (4,-2)
Checking our work
If our answer is correct we can plug in the values of x and y into both equations and the outcome will be valid ( or correct )
Equation 1 : 9x + 4y = 28
==> plug in x = 4 and y = -2
9(4) + 4(-2) = 28
==> multiply 9 and 4
36 + 4(-2) = 28
==> multiply 4 and -2
36 - 8 = 28
==> subtract 8 from 36
28 = 28
Equation 2 : 2x + 4y = 0
==> plug in x = 4 and y = -2
2(4) + 4(-2) = 0
==> multiply 2 and 4
8 + 4(-2) = 0
==> multiply 4 and -2
8 - 8 = 0
==. Subtract 8 from 8
0 = 0
Both are correct so our solution is correct!
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Simpifly : -5/6-7/-8+11/12–1/6+0- -7/16
Answer:
the chosen topic is not meant for use with this typ of problem try the examples below
Step-by-step explanation:
The length of a race is 26 miles and 385 yards. what is the length of the marathon in yards
Answer:
46,145 yards
Step-by-step explanation:
convert miles to yards then add
Find the Volume of a triangular pyramid! ~
Answer:
20
Step-by-step explanation:
using the given formula:
V = 1/3(Base Area)(height)
V = 1/3 (5)(12)
V = 1/3 (60)
V = 20
Answer:
20
Step-by-step explanation:
V = 1/3Bh
V = 1/3 x 5 x 12
V = 4 x 5
V = 20 cubic feet
Select the correct answer. what is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11? a. 0.257 b. 0.284 c. 0.312 d. 0.356 e. 0.548
Based on the number of people who are older than 35 years and the people with a hemoglobin level between 9 and 11, the probability is 0.531.
What is the probability of having the required hemoglobin level?This question does not have the relevant data attached so I will use a similar question.
The probability that a person is older than 35 and has a hemoglobin level of between 9 and 11 can be found as:
= Person who has hemoglobin level of between 9 and 11 and is above 35 years / Total number of people older than 35 years
= (162 - 40 - 76) / 162
= 0.531
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GIVING BRAINLIEST!!!!!
somebody please help me with this
Answer:
1/21
Step-by-step explanation:
there are 7 songs total
3 rock sounds, 2 reggae songs and 2 country songs
probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time
probability of choosing a country song first time = # of country songs / # of total songs
# of country songs = 2
total # of songs= 7
so probability of picking a country song = 2/7
if she doesn't return the disc there are 7 - 1 = 6 more songs left and 2 - 1 = 1 is country
probability of choosing country song second time
again probability = # of country songs / total # of songs
here there are only 6 songs total and 1 of them are country
so probability = 1/6
we have probability of choosing both country songs without returning the first song = probability of choosing country song first time × probability of choosing country song second time
first probability = 2/7
second probability = 1/6
total probability = 2/7 × 1/6 = 1/21
A listing for a home for sale is shown as follows: "4/3/2 house for sale. Price
$140,000." What does "4/3/2" mean?
Which is the length of the hypotenuse of the triangle? Triangle A B C. Side A C is 12 feet and side C B is 35 feet. StartRoot 94 EndRoot ft
Answer:37
Step-by-step explanation:
just took the test
Lacey had $603 in her checking account. Then, she spent $252 from the account. How much money is left in Lacey's checking account?
Answer:
In this problem we are given the initial amount of money that Lacey has in her account and we are also given the amount of money that she has spent using that account. We are told to check how much money is left in her account and we can do this with a simple subtraction.
[tex]Initial\ Amount - Money\ Spent[/tex]
[tex]\$603-\$252[/tex]
[tex]\$351[/tex]
Therefore, our final answer is that Lacey has $351 left in her account.
Hope this helps! Let me know if you have any questions
On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r partitions the directed line segment from q to s in a 3:5 ratio. which expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r? (startfraction 3 over 3 5 endfraction) (2 minus (negative 14)) (negative 14) (startfraction 3 over 3 5 endfraction) (negative 14 minus 2) 2 (startfraction 3 over 3 5 endfraction) (2 minus 14) 14 startfraction 3 over 3 5 endfraction (negative 14 minus 2) minus 2
The mathematical expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r is:
" (startfraction 3 over 3 5 endfraction) (2 minus (negative 14)) (negative 14)" (Option A)
What is a mathematical expression?A mathematical expression is a statement that contains numbers, variables, functions, etc that are related to one another in a very logical way.
It can also be defined as a mathematical phrase that comprises:
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Answer:
A
Step-by-step explanation:
3x∧2±6x±x±20 sole by factorization
Answer:
just look at the algebra formula and simplify to get your answer. Remember to use your powers well
are all natural numbers also a rational number? (yes/no)
Answer:
Yes
Step-by-step explanation:
But not all rational numbers are natural numbers, so be careful of that.
HELP!!
Find the lateral area of the pyramid to the nearest whole number
85 m2
77 m2
47 m2
51 m2
literally ur the best human if u answer this :)
Answer:
The area of the pyramid is 51 m²
Answer:
The answer is 51m
Step-by-step explanation:
Nick's science class is learning about animal classification, and they listed as many animals as they could in a minute. They came up with 32 mammals, 16 birds, 8 amphibians, 8 reptiles, 12 fish, and 4 invertebrates.
Select all of the statements that describe the data.
They listened to an equal of amphibians and reptiles.
There are more mammals on the list than birds and fish combined.
The modes of the data are amphibians and reptiles.
A quarter of the animals they listened are either amphibians or fish.
Answer:
The second one is the correct answer
Step-by-step explanation:
There are more mammals on the list than birds and fish combined.
Pls help
In the diagram below, △KLM≅△NOP.
What is the length of line segment KL¯¯¯¯¯?
A - 12 units
B - 14 units
C - 17 units
D - 19 units
The value of x will be equal to 14 units.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.
Since the two triangles are congruent so the value of x will be calculated as:-
2x - 9 = x + 5
2x - x = 9 + 5
x = 14
Therefore the value of x will be equal to 14 units.
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Question 3 :
Find the value of 3x3 - 4x2 + x - 5 when x = -3
(A) -54 (B) -71 (C) -32
Given 184% what is the equivalent fraction and decimal in simplest form?
Step-by-step explanation:
184% = 46/25 = 1 21/25 as a fraction
i have a slight feeling the answer ain’t 21
Answer:
I think it is
Step-by-step explanation:
4,8,5,15,6,12,7,6
8,5,15,6,12,7
5,15,6,12
15,6
15+6=21
Grace bought a new sweater on sale for 20% off the original price and an additional 15% off the discounted price. If the sweater originally cost $60, what was the final cost that Grace paid for the discounted sweater?
Answer:
$40.80.
Step-by-step explanation:
60 - 0.20*60
= 60 - 12
= $48
48 - 48*0.15
= 48 - 7.20
= $40.80.
5) For the geometric sequence with the following terms, a8= 32 and a11= 256, find the ratio and then find a13
Using geometric sequence concepts, it is found that:
The common ratio is of 2.The 13th term is of 1024.What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
As a function of the mth term, the nth term is given by:
[tex]a_n = a_mq^{n - m}[/tex]
Hence, considering the 8th and the 11th term, the common ratio is found as follows:
[tex]a_{11} = a_8q^3[/tex]
[tex]32q^3 = 256[/tex]
[tex]q^3 = 8[/tex]
q = 2.
Then, considering the 11th term and the common ratio, the 13th term is given as follows:
[tex]a_{13} = a_{11}q^2 = 256 \times 2^2 = 1024[/tex]
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each description with the correct inequality.
(5x)2 ≤ 46,
(5x)2 ≥ 46,
x2 + 5x ≥ 46,
5x2 > 46,
x2 + 5x ≤ 46,
5x2 < 46,
The square of the product
of 5 and a number is
no less than 46.
arrowBoth
The product of 5 and the
square of a number is
greater than 46.
arrowBoth
The sum of the square of a
number and five times that
number is no more than 46.
Answer:
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
Step-by-step explanation:
Suppose number is x
1)The square of the product of 5 and a number is not less than 46.
Step 1
Product of 5
5x
Step 2
Square of the product of 5
(5x)²
Step 3
A number is not less than 46
(5x)² ≥ 46
2)The sum of square of a number and five times that number is no more than 46
Step 1
Square of a number
x²
Step 2
Five times that number
5x
Step 3
The sum
x² + 5x
Step 4
Is no more than 46
x² + 5x ≤ 46
3)The product of 5 and the square of a number is greater than 46
Step 1
The square of a number
x²
Step 2
The product of 5
5x²
Step 3
Is greater than 46
5x² > 46
what’s the circumference, to this problem ?
Answer:
= 20.7345115137
or
≈ 21
Step-by-step explanation:
Circumference = 2 x π x radius
Circumference = 2 x π x 3.3
hope this helps
have a good day
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*3.3[/tex] and as we solve it more the final answer that we get is [tex]C=20.735[/tex].
Hope this helps! Let me know if you have any questions
A cylindrical pipe is 28m long.its internal radius is 3.5 and external radius is 5 cm calculate:
The volume in cm,of the metal used in making the pipe
The volume of water in litres that the pipe can hold when full,correct to one decimal place
The volume in cm 112098 cm³.
The volume of water in liters 112 liter.
What is volume of cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder.
Given: height= 28m= 2800cm, internal radius= 3.5 cm, external radius = 5 cm.
Volume of cylinder
= πr²h
= 3.14(5²-3.5²)2800
=3.14*12.75*2800
=112098 cm³
Volume of water in liter is 112.098 or 112 liter.
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How would logx (49) = x look like in exponential form
I'm assuming the given log equation is [tex]\log_{\text{x}}(49) = \text{x}[/tex]
If so, then the exponential form is [tex]\text{x}^{\text{x}} = 49[/tex]
This is because the general form [tex]\log_{\text{b}}(\text{x}) = \text{y}[/tex] transforms into [tex]\text{y} = \text{b}^{\text{x}}[/tex]
For both equations, the 'b' is the base.