The critical value for the given scenario is 1.645
To determine the critical value(s) for a one-mean z-test at the 5% significance level for a right-tailed test, we need to find the value(s) that correspond to a cumulative probability of 0.05 in the right tail of the standard normal distribution.
From the given information, we know that the critical value for a cumulative probability of 0.05 (α = 0.05) is z0.05 = 1.645. This is the value that separates the 5% area in the right tail.
Since the test is right-tailed, the critical value(s) will be the same as the value z0.05 = 1.645.
Therefore, the critical value(s) for a one-mean z-test at the 5% significance level, for a right-tailed test, is 1.645.
In summary, when conducting a one-mean z-test with a right-tailed alternative hypothesis at a 5% significance level, we compare the test statistic to the critical value of 1.645. If the test statistic is greater than 1.645, we would reject the null hypothesis in favor of the alternative hypothesis.
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The average driving distance (yards) and driving accuracy (percent of drives that land in the fairway) for 8 golfers are recorded in the table to the right. Complete parts a through e below.
Player Distance (yards) Accuracy (%)
a. 316.4 46.2
b. 303.8 56.9
c. 310.7 51.8
d. 312.2 53.2
e. 295.5 61.8
f. 290.8 66.
To complete parts a through, we would need the table that includes the distance (yards) and accuracy (%) values for players a through e. However, only the information for players f and g is provided in the question.
Without the values for players a through e, we cannot calculate or analyze the average driving distance or accuracy for those players. To answer the question accurately, please provide the missing data for players a through e so that we can complete parts a through e and provide a comprehensive analysis of the average driving distance and accuracy for all eight golfers.
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Find the H.C.F of the following numbers by the prime factorization method
a)18 and 27
b)35and 75
c)144and 360
d)30,40and45
e)144,384and432
Answer:
Step-by-step explanation:
is a 18 and 27 yes to the following question
a) 18 = 2 x 3^2
27 = 3^3
-> HCF = 3^2 = 9
b) 35 = 5 x 7
75 = 3 x 5^2
-> HCF = 5
c) 144 = 2^4 x 3^2
360 = 2^3 x 3^2 x 5
-> HCF = 2^3 x 3^2 = 72.
d) 30 = 2 x 3 x 5
40 = 2^3 x 5
45 = 3^2 x 5
-> HCF = 5
e) 144 = 2^4 x 3^2
384 = 2^7 x 3
432 = 2^4 x 3^3
-> HCF = 2^4 x 3 = 48.
make x the subject of formula
\((xy - fx) = 2\)
Answer:
\(\huge\boxed{\sf x=\frac{2}{y-f}}\)
Step-by-step explanation:
Given equation:xy - fx = 2
Take x common
x(y - f) = 2
Divide y-f to both sides
\(\displaystyle x=\frac{2}{y-f} \\\\\rule[225]{225}{2}\)
find the slope m of the tangent to the curve y = 3/ x at the point where x = a > 0.
The slope m of the tangent to the curve will be m = -3/a^2.
Calculating the slope of the tangent line to the curve y = 3/x at a point where x = a > 0 is an important mathematical concept. To do this, we will first need to find the derivative of the curve y = 3/x.
Let's start by taking a look at the equation for the slope of a line: m = (y2-y1) / (x2-x1). We'll use this equation to find the slope of the tangent line at the point (a, 3/a).
To do this, we'll need to calculate the derivative of the given equation, which is y' = -3/x^2.
At the point (a, 3/a), the derivative is equal to -3/a^2. Therefore, the slope of the tangent line at the point (a, 3/a) is m = -3/a^2.
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the area of a square is 264cm². Find length & perimeter of square.
Answer:
Here,
Given:
Area of a square- 264 sq. cm
To find:
1. The length ( side)
2.Perimeter.
Solution :
Now,
Let the side of the square be x cm.
according to the formula for finding the area of a square:
Area= side× side
264= x× x
264= x^2
√264= x
16.2481= x
16.25= x
hence,
Length= side= 16.25 cm.
Now,
Perimeter of a square:
= 4× side
= 4× 16.25
= 65
Hence,
perimeter of the square= 65 cm
Step-by-step explanation:
I hope I helped you
Assuming the plans have indefinite investment periods, which of the plans will be worth the
most in 100 years, and why?
A. Plan A will be worth the most, because it grows according to a linear function while the other plan grows according to an exponential function.
B. Plan B will be worth the most, because it grows according to a linear
function while the other plan grows according to an exponential function.
C. Plan A will be worth the most, because it grows according to an exponential function while the other plan grows according to a linear
function.
D. Plan B will be worth the most, because it grows according to an
exponential function while the other plan grows according to a linear
function
Plan B will be worth the most in 100 years because it grows according to an exponential function, while Plan A grows linearly. The correct option is b.
In the given scenario, Plan B is expected to be worth the most in 100 years. The reason for this is that Plan B grows according to an exponential function, which means its value increases at an increasingly rapid rate over time. Exponential growth occurs when the value of an investment is compounded, resulting in substantial growth over long periods. As time passes, the growth rate of Plan B accelerates, leading to a significant increase in its value compared to Plan A.
On the other hand, Plan A grows linearly, which means its value increases at a constant rate over time. Linear growth is relatively slower and does not experience the same compounding effect as exponential growth. As a result, Plan A's value will not accumulate as rapidly as Plan B's value over the course of 100 years.
Therefore, due to the exponential nature of Plan B's growth, it is expected to be worth the most in 100 years compared to Plan A.
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ABCD is a quadrilateral
Work out the length of BC
Give your answer to 1 decimal place
Answer:
8.1
Step-by-step explanation:
Use Pythagoras to find the length of BD- 7.5^2 +5^2=81.25
The square root of 81.25 is 9.01
BD-9.01 cm
Then use the cos rule to find BC.
c=a2+b2﹣2abcosγ=9.012+132﹣2·9.01·13·cos(38°)≈8.09819(square root)
round to 8.1
The table below represents a quadratic function. Use the data in the table to
determine the domain and range of the function.
x
-1
0
1
4
y
5
3
5
35
The domain is all real numbers and the Range is y ≥ 3.The correct answer is option A.
To determine the domain and range of the quadratic function based on the given table, let's analyze the values.
Domain represents the set of possible input values (x-values) for the function.
Range represents the set of possible output values (y-values) for the function.
From the given data:
x = -1, 0, 1, 4
y = 5, 3, 3, 5, 35
Looking at the x-values, we can see that the function has values for all real numbers. Therefore, the domain of the function is "all real numbers."
Now, let's consider the y-values. The minimum value of y is 3, and there are no y-values less than 3.
Additionally, the maximum value of y is 35. Based on this information, we can conclude that the range of the function is "y ≥ 3" since all y-values are greater than or equal to 3.
Therefore, the correct answer is:A. Domain: all real numbers
Range: y ≥ 3
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The probable question may be:
The table below represents a quadratic function. Use the data in the table to determine the domain and range of the function.
x= -1,0,1,4
y= 5,3,3,5,35
A. Domain: all real numbers Range: y ≥3
B. Domain: all real numbers
Range: x≥0
c. Domain: all real numbers
Range: y ≥0
D. Domain: all real numbers
Range: y ≤3
sandi used the quadtric formula to find the x-intercept of y=x2+x+8 which of the following should sandi conclude?
Answer:
7 because
Step-by-step explanation:
Answer:
y=x^3 + 8
Step-by-step explanation:
hope this helps
Paul’s mom needed a small carpet for the bathroom floor. There was room for a carpet that was 9/10 of a meter long and 4/5 of a meter wide. Choose the model that shows the area of the carpet.
options:
(the photos)
The area of the carpet is 9/10 square meters. Looking at the given options, we can see that only option (A) shows 9/10 square meters as the area of the carpet, so that is the correct answer.
The formula for the area A of a rectangle is: Area is a measure of the size of a two-dimensional surface, such as the surface of a square, rectangle, triangle, or circle. It is typically measured in square units, such as square meters, square feet, or square inches. The formula for calculating the area of a given shape depends on the shape itself.
A = length × width
In this case, the length of the carpet is 9/10 of a meter, and the width of the carpet is 4/5 of a meter.
Multiplying these values, we get:
A = (9/10) × (4/5)
To simplify this expression, we can first reduce the fractions:
A = (9/10) × (4/5)
A = (9/2) × (1/5)
A = (9/10)
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find the surface area of the prism if the height is 1 ft, the length is 4 ft, and the width is 7 ft
Answer:
78 square feet
Step-by-step explanation:
You want the surface area of a rectangular prism 1 ft high by 4 ft long and 7 ft wide.
AreaThe surface area is given by ...
SA = 2(LW +H(L +W))
SA = 2(4·7 +1(4 +7)) = 2(28 +11) = 78 . . . . square feet
The surface area of the prism is 78 square feet.
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What is the answer (6 - 4) x 3
Answer:
its 6
Step-by-step explanation:
6-4=2
2*3=6
hope it helps
Hey there!
In order to answer this question, you have to do PEMDAS
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
“(6 – 4) • 3”
• FIRST: we have to work with inside the PARENTHESES
(6 – 4) = 2
• We can SKIP exponents because we DON’T have any EXPONENTS
• SECOND: we have to MULTIPLY
2 • 3 = 6
• We can SKIP the others (Division, Addition, and Subtraction) because we don’t need them
• Answer: 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
A study on students drinking habits wants to determine the true average number of alcoholic drinks all FSU graduate students have in a one week period. We know from preliminary studies that the standard deviation is around 1.79. How many students should be sampled to be within 0.5 drinks of population mean with 95% probability?
A. 50
B. 49
C. 24
D. 25
is the sum of the integers x and y a prime number? (1)x is an even prime number. (2)y is a prime number between 10 and 20.
Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.
So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.
Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.
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Help this is timed Its Math dont answer if u dont know
Answer:
the last one
Step-by-step explanation:
the formula is AS= 2(Pi)r^2 + 2(pi)rh r^2= r x r
the r is 3 because Radis is half of the dynamiter
and pi= 3.14
the h(ight) is 14
plug in the #'s
2(3.14)3^2+2(3.14)3 x 14
Solve this polynomial:
Which is not a solution of 5(2x+4)\(\geq\) 2(x+34)? pllllllzzzzzz i need this so much
I think it's help u so follow me and brainlist me if it's wrong then tell me
PLEASE ANSWER THIS ASAP
Answer:
8,5
Step-by-step explanation:
5*8-2y=30
40-30=2y
10=2y
y=10/2
y=5
Answer: The answer is 5!
What is the midpoint between (-3,-2) and (4-7)
The midpoint between the given figures are -2.5 and 5.5 respectively.
What is a midpoint ?A midpoint is defined as that particular point that divides two separate figures into two equal halves or the centre of two endpoints on a number line.
That is;
point a + point b/2
The figures given are :
Point a = -3
Point b = -2
= -3 + -2/ 2
= -5/2
= -2.5
For points 4 and 7 ;
= 4 + 7 / 2
= 11/2
= 5.5
Therefore, the middle or midpoint of -3 and -2 is -2.5 and the midpoint for 4 and 7 is 5.5.
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Let E be an elliptic curve over Fp and let P and Q be points in E(Fp). Assume that Q is a multiple of P and let n > 0 be the smallest solution to Q = [n]P. Which of the following statements is true? a) n is the order of P. b) n is the order of Q. c) n is the order of the group E(Fp). d) None of the above.
The correct statement is d) None of the above. In fact, the order of the group E(Fp) can be any prime or power of a prime, so it is unlikely that n would be equal to it.
The order of P and Q are not necessarily equal in an elliptic curve, and neither of them necessarily equals the order of the group E(Fp).
If P has order r and Q is a multiple of P, then Q has order s = n*r. In general, the order of a point on an elliptic curve can be any divisor of the order of the group E(Fp), so it is not necessarily equal to the group order.
a) n is the order of P: This is not necessarily true. The order of P can be any divisor of the order of the group E(Fp). The only thing we know for sure is that n is a multiple of the order of P, since Q is a multiple of P.
b) n is the order of Q: This is also not necessarily true. Q has order s = n*r, where r is the order of P. Again, the order of Q can be any divisor of the order of the group E(Fp).
c) n is the order of the group E(Fp): This is not true either. In fact, the order of the group E(Fp) can be any prime or power of a prime, so it is unlikely that n would be equal to it.
Therefore, the correct answer is d) None of the above.
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28. Given M₁ = 35, M₂ = 45, and SM1-M2= 6.00, what is the value of t? -2.92 -1.67 O-3.81 2.75
The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.
Given, M₁ = 35
M₂ = 45
SM1-M2 = 6.00
The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.
To calculate the t-value,
the formula we need to use here is:
t = (M₁ - M₂) / SM1-M2
Substituting the given values into the formula:
t = (35 - 45) / 6.00
t = -10 / 6.00
t = -1.67
Therefore, we can conclude that the value of t is -1.67 for the samples given.
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answer it this is for high school student
\( \sf \: 1. \bigg[ \frac{4 + ( - 5)}{ - 2 - 3} \bigg]\bigg[ \frac{14 + ( - 21)}{ 2 - 8} \bigg] \\ \)
\( \sf \longrightarrow \: \bigg[ \frac{4 + ( - 5)}{ - 2 - 3} \bigg]\bigg[ \frac{14 + ( - 21)}{ 2 - 8} \bigg] \\ \)
\( \sf \longrightarrow \: \bigg[ \frac{4 - 5}{ - 2 - 3} \bigg]\bigg[ \frac{14 - 21}{ 2 - 8} \bigg] \\ \)
\( \sf \longrightarrow \: \bigg[ \frac{ - 1}{ - 5} \bigg]\bigg[ \frac{ - 7}{ - 6} \bigg] \\ \)
\( \sf \longrightarrow \: \frac{1}{ 5} \times \frac{ 7}{ 6} \\ \)
\( \sf \longrightarrow \: \frac{7}{30} \\ \)
C) 7/30 ✅
________________________________
\( \sf \: 2. \bigg[ \frac{7+ ( - 6)}{ - 4 - 9} \bigg]\bigg[ \frac{20 + ( - 45)}{ 8 - 2} \bigg] \\ \)
\( \sf \longrightarrow\bigg[ \frac{7 + ( - 6)}{ - 4 - 9} \bigg]\bigg[ \frac{20 + ( - 45)}{ 8 - 2} \bigg] \\ \)
\( \sf \longrightarrow\bigg[ \frac{7 - 6}{ - 4 - 9} \bigg]\bigg[ \frac{20 - 45}{ 8 - 2} \bigg] \\ \)
\( \sf \longrightarrow\bigg[ \frac{1}{ - 4 - 9} \bigg]\bigg[ \frac{ - 25}{ 8 - 2} \bigg] \\ \)
\( \sf \longrightarrow\bigg[ \frac{1}{ - 13} \bigg]\bigg[ \frac{ -25}{ 6} \bigg] \\ \)
\( \sf \longrightarrow \: \frac{ - 25}{ - 78} \\ \)
\( \sf \longrightarrow \: \frac{ 25}{ 78} \\ \)
A] 25 / 78 ✅
________________________________
\( \sf \: 3. \bigg[ \frac{4+ ( - 5)}{ - 2 - 4} \bigg]\bigg[ \frac{18 + ( - 36)}{ 7 - 3} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{4+ ( - 5)}{ - 2 - 4} \bigg]\bigg[ \frac{18 + ( - 36)}{ 7 - 3} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{4 - 5}{ - 2 - 4} \bigg]\bigg[ \frac{18 - 36}{ 7 - 3} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{-1}{ - 6} \bigg]\bigg[ \frac{18 - 36}{ 7 - 3} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{-1}{ - 6} \bigg]\bigg[ \frac{-18}{ 4} \bigg] \\ \)
\( \sf \longrightarrow \frac{18}{ - 24} \\ \)
\( \sf \longrightarrow -\frac{6}{ 8} \\ \)
\( \sf \longrightarrow -\frac{3}{ 4} \\ \)
C] -3/4 ✅
________________________________
\( \sf \: 4. \bigg[ \frac{7+ ( - 3)}{ - 6 - 2} \bigg]\bigg[ \frac{18 + ( - 6)}{ 6- 7} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{7+ ( - 3)}{ - 6 - 2} \bigg]\bigg[ \frac{18 + ( - 6)}{ 6- 7} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{7- 3}{ - 6 - 2} \bigg]\bigg[ \frac{18 - 6}{ 6- 7} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{4}{ - 6 - 2} \bigg]\bigg[ \frac{12}{ 6- 7} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{4}{ - 8} \bigg]\bigg[ \frac{12}{ -1} \bigg] \\ \)
\( \sf \longrightarrow \frac{48}{ 8} \\ \)
\( \sf \longrightarrow \frac{6}{ 1} \\ \)
\( \sf \longrightarrow 6 \\ \)
D] 6 ✅
________________________________
\( \sf \: 5. \bigg[ \frac{8+ ( - 2)}{ - 5- 6} \bigg]\bigg[ \frac{40 + ( - 48)}{ 9 - 8} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{8+ ( - 2)}{ - 5- 6} \bigg]\bigg[ \frac{40 + ( - 48)}{ 9 - 8} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{8 - 2}{ - 5- 6} \bigg]\bigg[ \frac{40 - 48}{ 9 - 8} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{6}{ - 5- 6} \bigg]\bigg[ \frac{-8}{ 9 - 8} \bigg] \\ \)
\( \sf \longrightarrow \bigg[ \frac{6}{ - 11} \bigg]\bigg[ \frac{-8}{ 1} \bigg] \\ \)
\( \sf \longrightarrow \frac{-48}{ - 11} \\ \)
\( \sf \longrightarrow \frac{48}{ 11} \\ \)
B] 48/11 ✅
________________________________
describe the transformation.
\(y = x {}^{2} \: to \: y = - (x - 5) {}^{2} - 6\)
1. Reflect over the x-axis.
2. Shift right 5 units.
3. Shift down 6 units.
Simplify: (use order of operations)
18 ÷ 2 - (98÷2) + 48
*remember to explain your steps!
Answer:
8
Step-by-step explanation:
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Levi bought 5 chicken wings for $9.00. What's the unit cost of one wing?
Answer:
$1.8
Step-by-step explanation:
9/5 = 1.8
Hope this helps! You can ask me more questions in the comments if you want! :)
Five hats and three shirts cost $176. Three hats and five shirts cost $208. What is the cost of one hat?
The cost of one hat is __ dollars.
Let hats be x
Let shirts be y
We can set up a system of equations to figure out the cost of one hat.
5x+3y = 176 and 3x+5y = 208
Since we are finding the cost of the hats, we will need to isolate x from the equation. We can first get rid of y. One way we can do that is by multiplying the first equation with 5 and the second one with -3, effectively making y add up to 0 when we solve for x.
5(5x+3y = 176) --> 25x+15y = 880
-3(3x+5y = 208) --> -9x-15y = -624
We can now add the 2 equations together and solve for x.
25x+15y = 880
-9x-15y = -624
+>>>>>>>>>>>>>>>
16x = 256
x = 16
So the the cost of one hat is 16 dollars.
Answer:
$16
Step-by-step explanation:
Define the variables:
Let x = cost of one hatLet y = cost of one shirtCreate two equations using the defined variables and the given information.
Equation 1
Five hats and three shirts cost $176.
⇒ 5x + 3y = 176
Equation 2
Three hats and five shirts cost $208.
⇒ 3x + 5y = 208
Rewrite Equation 2 to make y the subject:
\(\implies \sf 3x+5y-3x=208-3x\)
\(\implies \sf 5y=208-3x\)
\(\implies \sf \dfrac{5y}{5}=\dfrac{208-3x}{5}\)
\(\implies \sf y=\dfrac{208-3x}{5}\)
Substitute the found expression for y into Equation 1 and solve for x:
\(\implies \sf 5x+3\left(\dfrac{208-3x}{5} \right)=176\)
\(\implies \sf 5x+\dfrac{624-9x}{5}=176\)
\(\implies \sf 5x+124.8-1.8x=176\)
\(\implies \sf 3.2x+124.8=176\)
\(\implies \sf 3.2x+124.8-124.8=176-124.8\)
\(\implies \sf 3.2x=51.2\)
\(\implies \sf \dfrac{3.2x}{3.2}=\dfrac{51.2}{3.2}\)
\(\implies \sf x=16\)
Therefore, the cost of one hat is 16 dollars.
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Choose the best method for solving and solve. Show your work.
y = -x-6
x + 3y = -18
The final solution to the given simultaneous equation is (0, -6)
Solving simultaneous equationsA finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.
Given the set of equations below:
y = -x-6
x + 3y = -18
Using the substitution method;
Substitute equation 1 into 2 to have:
x + 3(-x - 6) = -18
x - 3x - 18 =-18
-2x = 0
x = 0
Since y = -x- 6
y = -0 - 6
y = -6
Hence the solution to the system of equation is (0, -6)
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Hi- can someone help me, With theese 2 questions, i got them wrong and i need help redoing them-
The fraction of the students are boys that wear glasses is 2/9. option D.
The fraction of the plants with yellow blossom and dark green leaves is 1/6. option C
What fraction of the students are boys that wear glasses?Fraction of boys in Sarah's class = 2/3
Fraction of boys that wear glasses = 1/3
fraction of the students are boys that wear glasses = Fraction of boys in Sarah's class × Fraction of boys that wear glasses
= 2/3 × 1/3
= 2/9
Yellow blossom = 2/4
Dark green leaves from yellow blossom plant = 1/3
Fraction of the plants with yellow blossom and dark green leaves = Yellow blossom × Dark green leaves from yellow blossom plant
= 2/4 × 1/3
= 2/12
= 1/6
Therefore, fraction of the students are boys that wear glasses is 2/9 and fraction of the plants with yellow blossom and dark green leaves is 1/6
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Use the give an information to find the coefficient of determination.
Find the coefficient of determination, given that the value of the linear correlation coefficient, r, is -0.271
The calculated value of the coefficient of determination is 0.073
How to find the coefficient of determinationFrom the question, we have the following parameters that can be used in our computation:
Regression = linear
Correlation coefficient, r, is -0.271
The coefficient of determination can be calculated using:
R = r²
Where
r = Correlation coefficient = -0.271
Substitute the known values in the above equation, so, we have the following representation
R = (-0.271)²
Evaluate the exponent
R = 0.073
Hence, the coefficient of determination is 0.073
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Answer two questions about equations a and b
a) x/4 +1 = -3
b) x+ 4 = -12
PART 1-
How can we get equation B from equation A?
Choose one answer:
A) rewrite one side (or both) using the distributive property
B) Rewrite one side (or both) by combing like terms
C) Multiply/divide only one side by a non-zero constant.
D) Multiply/divide both sides by the same non-zero constant.
PART 2:
-based on the previous answer, are the equations equivalent? in other words, do they have the same solution?
Choose One Answer:
A) Yes
B) No
We get equation B from equation A by Multiplying /dividing both sides by the same non-zero constant i.e., 4.
What is a non-zero constant?A non-zero constant polynomial is written as: p(x) = c, where c is a non-zero real number. This means that for all possible values of x, p(x) = c, i.e. it is never 0. Thus, a non-zero constant polynomial does not have any zeroes.
Given
\(\frac{x}{4}+1 =-3\)
Multiply/divide both sides by the same non-zero constant i.e., 4.
⇒ \(4\times(\frac{x}{4}+1) =4\times-3\)
⇒ x + 4 = -12
Hence, We get equation B from equation A by Multiplying /dividing both sides by the same non-zero constant i.e., 4.
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