The degree of freedom for the numerator is 5 and the degree of freedom for the denominator is 114.
What is Analysis of variance (ANOVA)?Analysis of variance (ANOVA) is a type of statistical test used to determine if there is a statistically significant difference among two or more categorical groups by testing for differences of means using variance. An ANOVA test is used to analyze the differences between group means in a sample.
In this case, the number of groups, k is the number of distinct groups = 6
The total number of samples, N = number of groups x number of samples per each group
Thus, N = 6 x 20 = 120
Degree of freedom (df):
df within = df of numerator = k – 1 = 6 – 1 = 5
df between = df of denominator = N – k = 120 – 6 = 114
Hence, the required degrees of freedom are 5 numerator and 114 denominator.
Learn more about degrees of freedom at: https://brainly.com/question/15689447
#SPJ4
a sample of bacteria is decaying according to a half-life model. if the sample begins with 900 bacteria, and after 10 minutes there are 360 bacteria, after how many minutes will there be 40 bacteria remaining?
After 35 minutes there will be 40 bacteria remaining.
The process of a constant percentage rate decrease in an amount over time is referred to as "exponential decay." The formula to calculate exponential decay is given as, [tex]N_t=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}[/tex]. Here, Nt is the quantity after time t, N0 is the initial quantity, t1/2 is the half-life, and t is time.
For the first situation, Nt=360, N0=900, t=10 minutes. Therefore, substituting the given values get the value of t1/2. So,
[tex]\begin{aligned}360&=900\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}} \\\frac{360}{900}&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\0.4&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\ \ln(0.4)&=\frac{10}{t_{1/2}}\ln(0.5)\\t_{1/2}&=10\times\frac{\ln(0.5)}{\ln(0.4)}\\&=7.6\end{aligned}[/tex]
Now, for the second situation, Nt=40. We have to find the time at which there will be 40 bacteria remaining. Then,
[tex]\begin{aligned}40&=900\left(\frac{1}{2}\right)^{t/7.6}\\0.04&=\left(\frac{1}{2}\right)^{t/7.6}\\\ln(0.04)&=\frac{t}{7.6}\ln(0.5)\\t&=7.6\times\frac{\ln(0.04)}{\ln(0.5)}\\&=7.6\times4.64\\&=35.26\\&\approx35\end{aligned}[/tex]
The answer is 35 minutes.
To know more about exponential decay:
https://brainly.com/question/27492127
#SPJ4
What are the x-intercept and y-intercept of the line y 4x 5?.
x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.
What is the equation straight line?
The given equation Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
The equation of the line is y = 4x+5
So the y-intercept is (x=0)
y = 5
And the x-intercept is (y=0)
4x +5 =0
x = -5/4
Hence, the x-intercept and y-intercept of the line y = 4x+5 is -5/4 and 5 respectively.
Learn more about the straight line, by the following link
https://brainly.com/question/16949303
#SPJ4
HELP ASAP PLSPLSPSLSPLSPSLS
Rewrite the radical expression as an expression with a rational exponent.
the fourth root of seven to the fifth power
A- seven to the five fourths power
B- x20
C- x
D- seven to the four fifths power
The radical expression as an expression with a rational exponent is A- seven to the five fourths power.
What is a exponent?An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.
Given, the fourth root of 7 to the fifth power, we have to write the radical as a rational exponent.
The formula to change a radical to a rational exponent is given by:
= a ^(m/n)
Now, cube root of the seventh power can be written as:
4✓7^5
Therefore, the rational exponent is A.
Learn more about exponents on:
https://brainly.com/question/109611
#SPJ1
can someone help pls i spent almost 30 min just trying to do this
The answer is 3/25
The calculation as follows.
First, convert to fraction version of the decimals.
0,12 means 12/100
Second, simplify both up and bottom value of the fraction by dividing it with 4
(12:4)/(100:4) = 3/25
So, the answer is 3/25
Read more on fraction here
https://brainly.com/question/10354322?referrer=searchResults
How do you find the equation of a line given two points in point slope form?.
The equation of a line given two points in point slope form is:
y - y1 = (y2-y1 / x2-x1)(x-x1).
Given:
Two points (x1,y1) and (x2,y2)
we know that,
slope m = y2-y1 / x2-x1
the equation passes through (x1,y1).
we know that:
Point slope form is y - y1 = m(x-x1)
substitute m value
y - y1 = (y2-y1 / x2-x1) (x-x1)
Therefore The equation of a line given two points in point slope form is:
y - y1 = (y2-y1 / x2-x1)(x-x1).
Learn more about the equation here:
https://brainly.com/question/10413253
#SPJ4
PLS HELP!!!
Use the image of this toolbox to answer the following questions. All opposite faces of the toolbox are parallel to each other.
The measure of angle 1 is 70*
Find the measure of angle 3
Answer: 110°
Step-by-step explanation: We know that a quadrilateral is always 360° in total, and two of the angles are right angles, which both equal 90°. We also know that one of the angles is 70° so, with this information, we can set up an equation. 90+90+70+x=360 To solve this, add 90, 90, and 70 together. This equals 250. Now we subtract 360 and 250, which equals 110°.
hope this helps!
please give brainliest!
in a statistics exam an individuals score is normally distributed with a mean of 80 and a sample standard deviation of 6 points. assume there are 30 individuals in the class. calculate the probability the class average is less than 79.
The probability the class average is less than 79 is 0.1587.
What is Normal Distribution ?
The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1.The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.Given that,
Normally distributed with a mean μ = 80
sample standard deviation σ = 6
In a class, number of students n = 30 (This may be 36 in ques but we take 30 as mentioned in question )
Let, x = be the individual score
∑x = be the class average
It's given, class average is less than 79.
Now, the probability that the class average is less than 79.
P(∑x < 79) = P( (∑x - μ) / (σ/√n) < (79 - 80) / (6 /√30) )
= P( (∑x - μ) / (σ/√n) < (-1) / 1.09 )
= P( (∑x - μ) / (σ/√n) < -1 ) [Round off the Denominator it gives 1]
we know, Standard normal distribution Z = (∑x - μ) / (σ/√n)
so,
P(∑x < 79) = P( Z < -1 )
By Standard normal distribution table,
P( Z < -1 ) = 0.1587
Hence, the probability the class average is less than 79 is 0.1587.
To read more about Normal Distribution
https://brainly.com/question/23418254
#SPJ4
Cathy usually makes 3 out of every 5 baskets that she throws. At this rate, how
many baskets should she expect to make if she shoots 35 times?
Answer:
21
Step-by-step explanation:
rate of baskets *total shots = shots made
3/5*35=21
if you roll six fair six-sided dice one time, what are the chances that at least one of the dice will come up a five? g
There is a probability of 66.5 % chance of it landing on a 5 at least once in 6 dice.
Because there are six faces on a die, you have an even chance of the dice landing on one of these faces each time you roll:
This means that each time that you roll, there is a 5/6 chance that you will not roll a 5.
The probability of not rolling a 6 twice is 5/6 or 69.4%.
Roll the die six times, and the probability of not rolling a 5 is
(5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6)
= (5/6)⁶
= 33.5%
Therefore, the probability of rolling a 5 at least once in 6 dice
= 100% - 33.5%
= 66.5%
To know more about probability check the below link:
https://brainly.com/question/24756209
#SPJ1
what is the following sum? assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0startroot x squared y cubed endroot 2 startroot x cubed y superscript 4 baseline endroot x y startroot y endrootx squared y squared startroot y endroot minus 2 x y squared startroot x endroot2 x y startroot y endroot 2 x y squared startroot x endroot4 x y startroot x superscript 5 baseline y superscript 8 baseline endroot2 x y startroot x y endroot
The simplified equation is 2x y²√y + 2x y√y when the actual equation is √x²y³ +2√x³y⁴ +x y√y. Option -B is correct.
Given that,
The equation is
√x² y³ +2√x³y⁴ +x y√y
We have to simplify the equation.
We know that,
A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.
Take the equation
√x²y³ +2√x³y⁴ +x y√y
x y√y +2√x³y⁴ +x y√y
2√x³y⁴ + 2x y√y
2x y²√y + 2x y√y
Therefore, The simplified equation is 2xy²√y + 2x y√y when the actual equation is √x²y³ +2√x³y⁴ +x y√y. Option -B is correct.
To learn more about equation visit: https://brainly.com/question/26141085
#SPJ4
Answer:
B on edge
Step-by-step explanation:
An event manager is tracking participation in a tournament by age group. The manager created the following
histogram
Number of People
30
20
10-
0
10%
What percentage of the tournament participants are under the age of 20? Round to the nearest whole percent.
23%
30%
Tournament Participants
077%
0-19 20-39 40-59 60-79
Age Group (yr)
According to the histogram, the percentage of the tournament participants are under the age of 20 is 50%.
What is a histogram?A histogram approximately represents a distribution of grouped data with numerical values.
It uses rectangular bars to show the frequency of data items in successive numerical intervals of equal sizes.
Age Group (year) Number of People
0 to 19 30
20 to 39 20
40 to 59 10
60 to 79 0
Total 60
Percentage of ages 0-19 = 30/60 x 100 = 50%
Thus, using the histogram, we can assure the percentage of the tournament participants are under the age of 20 is 50%.
Learn more about histograms at;
brainly.com/question/2962546
#SPJ1
Do the leading coefficient and degree of the polynomial functions affect the behavior of its graph?.
Yes, leading coefficient and degree of the polynomial functions can affect the behavior of its graph. Because of the positive leading coefficient, the graph ascends to the right. To ascertain the behavior, consider the function's degree and the sign of the leading coefficient.
Define leading coefficient.The term with the greatest x power is the leading term in a polynomial function. The leading coefficient is the coefficient of the leading phrase.
Given,
Yes, leading coefficient and degree of the polynomial functions can affect the behavior of its graph.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient. For very big or very small values, the leading coefficient is more important than the other function coefficients. The coefficient of the leading term is the leading coefficient in a polynomial. Because of the positive leading coefficient, the graph ascends to the right. To ascertain the behavior, consider the function's degree and the sign of the leading coefficient.
To learn more about leading coefficient, visit:
https://brainly.com/question/15323309
#SPJ4
find the equation of the line shown
The equation of the line that shown in the graph is;
y = x + 3
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
We know that Point-Slope Form:
y - y₁ = m(x - x₁)
Where x₁ - x coordinate and y₁ - y coordinate
m - slope
Point are (3, 6) and (4,5)
Then Slope m = 1
Now Write the equation as;
y - 6 = 1(x- 3)
y = x - 3 + 6
y = x + 3
Hence, the equation of the line that shown in the graph is;
y = x + 3
Learn more about equations here;
brainly.com/question/25180086
#SPJ1
A rocket rises at 5 ft/s between 0 and 10 seconds. Afterwards it rises at 15 ft/s for another 15 seconds. Use one loop to calculate the rockets height at the end of the 25 seconds. Use h as the variable for height.
The height of the rocket at the end of the 25 seconds is 275 ft.
We have given that,
a rocket rises at 5 ft/s between 0 and 10 seconds,
therefore
V₁ = 5 ft/s
T₁ = 10 seconds
Height in first 10 seconds = ?
we know the formula to find the height,
i.e Height = velocity × time
⇒ H₁ = V₁ × T₁
= 5 × 10
H₁ = 50 ft
Therefore height of the rocket in the first 10 seconds is 50 ft.
Now it given that, rocket rises at 25 ft/s for another 15 seconds.
i.e V₂ = 15 ft/s
T₂ = 15 seconds
H₂ = ?
H₂ = V₂ × T₂
= 15 × 15
H₂ = 225 ft
Therefore height of the rocket in next 15 seconds is 225 ft.
Now we will find the height of the rocket at the end of the 25 seconds.
i.e H = H₁ + H₂
= 50 + 225
H = 275 ft
Hence the height of the rocket at the end of 25 seconds is 275 ft.
To know more about height here
https://brainly.com/question/29576808
#SPJ4
A wheelchair i needed at the entrance of a retaurant. The ramp i to be 6. 10 m long and have a rie of 0. 45m. Calculate the angle of inclination of the ramp
The angle of inclination of the ramp is approx. 4°.
Define the angle of inclination.
The angle formed between a line and the x-axis's positive direction is known as the inclination angle. This angle has a value between 0° and 180°. From the positive direction of the x-axis, it is measured counterclockwise.
Added definitions include The positive angle, measured counterclockwise from the x-axis to the line, with a value less than 180 degrees, which is the inclination of a non-horizontal line.
Solution Explained:
Given in question,
length (l) = 6.10m and height(h) = 0.45m
So the angle of inclination can be found using,
sin θ = h/l
sin θ = 0.45/6.10
θ = sin^-1(0.45/6.10)
θ ≈ 4°
To learn more about the angle of inclination, use the link given
https://brainly.in/question/4153787
#SPJ4
The area of a trapezold is calculated using the formula below, where A is the area of the trapezoid, b₁ and b₂ are the bases of the
trapezold, and h is the height of the trapezold.
Rewrite the formula to find the base b₂.
√O
(0) 101 0²
VO 4
b₂=
+-
+
.
X
11
<> S 2
IV
K
T
3
A = bitb₂.h
aß
AH PO
9
8
sin cos tan sin
costan
csc sec cot log log in
=
10 -
to n
Lar
ΕΔΩ Σ
U
.
-W- 99
Answer:
b₂ = [tex]\frac{2A}{h}[/tex] - b₁
Step-by-step explanation:
A = [tex]\frac{b_{1}+b_{2} }{2}[/tex] × h ( multiply both sides by 2 to clear the fraction )
2A = h(b₁ + b₂ ) ← divide both sides by h
[tex]\frac{2A}{h}[/tex] = b₁ + b₂ ( subtract b₁ from both sides )
[tex]\frac{2A}{h}[/tex] - b₁ = b₂
The solution is, the formula to find the base b₂ is : b₂ = 2A/h - b₁.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
The area of a trapezoid is calculated using the formula below, where A is the area of the trapezoid, b₁ and b₂ are the bases of the trapezoid, and h is the height of the trapezoid.
A = (b1+b2)/2 × h
( multiply both sides by 2 to clear the fraction )
2A = h(b₁ + b₂ )
← divide both sides by h
2A/h = b₁ + b₂
( subtract b₁ from both sides )
2A/h - b₁ = b₂
Hence, The solution is, the formula to find the base b₂ is : b₂ = 2A/h - b₁.
To learn more on Area click:
brainly.com/question/20693059
#SPJ5
Is AAS and SAA same?.
No they are not the same . AAS stands for Angle Side Angle and SAA stands for Side Angle Angle .
How many solutions does a function graph have?.
Interpreting the graph, it is found that the function has two real solutions
The number of different real solutions that a function has is given by the number of times it crosses the x-axis(also known as the horizontal axis) on the graph. If the graphs of the equations intersect, then there is one solution that is true for both equations.
In this problem, the function crosses the x-axis, at 0 and -4
Using the above we find that the given graph has solution at the x intercepts.
X intercepts are 0 and -4
Hence the solutions are two real and they are x=0 and x =-4
To learn more about function refer here
https://brainly.com/question/24335034
#SPJ4
If 1,2 and 3 are the eigen value of A=[2 0 1; 0 2 0; a 0 2], find the value of a?
The value of a in this question is 1.
Here, we've been given the matrix A=[2 0 1; 0 2 0; a 0 2]
For eigenvalues, the characteristic polynomial of A -
= det(A- λI) = 0
= Let [(2 0 1; 0 2 0; a 0 2) - (λ 0 0; 0 λ 0; 0 0 λ)] = 0
= [2-λ 0 1; 0 2-λ 0; a 0 2-λ] = 0
= (2-λ)(2-λ)² - a[+(2-λ)] = 0
= 8+2λ² -8λ-4λ-λ³ +4λ²-2a+aλ = 0
= -λ³ +6λ² +(a-12)λ+8-2a = 0
For the given eigenvalues 1,2, and 3, the characteristic polynomial must have the roots at λ=1,2,3
= -(λ-1)(λ-2)(λ-3)
=-λ³+6λ²-11λ+6
Hence, -λ³+6λ²-11λ+6 = -λ³ +6λ² +(a-12)λ+8-2a
From equating these, we get-
a = 1
Learn to know more about eigenvalues on
https://brainly.com/question/29579848?referrer=searchResults
#SPJ4
A solar panel can generate power at a maximum rate of 400 kilowatts per day. When it is cloudy, it can only generate 5 kilowatts per hour and when the sky is clear, 32 kilowatts per hour. Let X and Y represent the number of hours when the sky is cloudy and clear, respectively. What is the inequality that represents this problem?
The inequality representing the problem is 5x+32y≤400
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, A solar panel can generate power at a maximum rate of 400 kilowatts per day. When it is cloudy, it can only generate 5 kilowatts per hour and when the sky is clear, 32 kilowatts per hour.
According to question,
5x+32y≤400
Hence, The inequality representing the problem is 5x+32y≤400
For more reference on inequality, click;
https://brainly.com/question/20383699
#SPJ1
What is the example of obtuse angle?.
An example of an obtuse angle is 135°.
What is an angle?When two straight lines or rays intersect at a shared terminal, an angle is generated.
An angle whose measure is more than 90° but less than 180° is said to be an obtuse angle.
Therefore, an example of an obtuse angle is 135°.
Learn more about the angle:
https://brainly.com/question/28451077
#SPJ1
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
In the given function f(x) = 3ˣ, a function table is created from -2 to 2 which is represented on a graph.
Function TableA function table is a visual table with columns and rows that displays the function with regards to the input and output. Younger students will also know function tables as function machines. Every function has a rule that applies and represents the relationships between the input and output.
In the function given;
f(x) = 3ˣ
The values of y from x = -2 to 2 are
f(-2) = 1/9
f(-1) = 1/3
f(0) = 1
f(1) = 3
f(2) = 9
Kindly find the attached graph below;
Learn more on function table here;
https://brainly.com/question/3632175
#SPJ1
can someone please help me? ive been stuck on this for 5 hours
In order to keep the Bermuda Triangle on the Flat Earth from toppling over, it was balanced on the hole which leads to the interior of the hollow Earth. If the vertices of the Bermuda Triangle are given by (1,3) , (2,7) , and (6,2). In order to find the hole we will need to find the intersection of at least 2 lines. Name 2 points through which one of those lines will pass (in the form (x,y),(x,y))
The following are the two lines: y = 4x - 1. y = -1.25x + 10.5.
Their point of intersection is: (2.19, 7.76).
The two vertices through which the line y = 4x - 1 pass are as follows:
(2.19, 7.76) and (3,11).
The slope is:
m = (7 - 3)/(2 - 1) = 4.
Hence:
y = 4x + b.
When x = 1, y = 3, the intercept b is calculated as follows:
3 = 4 + b
b = -1.
The first line is then: y = 4x - 1.
The points for the second line are (2,7) and (6,2).
As a result, the slope is m = (2 - 7)/(6 - 2) = -5/4 = -1.25.
The solution is y = -1.25x + b.
When x = 2, y = 7, therefore the intercept b is as follows:
7 = -1.25(2) + b
b = 10.5.
As a result, the second line is:
y = -1.25x + 10.5.
The intersection's x-coordinate is as follows:
4x - 1 = -1.25x + 10.5
5.25x = 11.5
x = 11.5/5.25
x = 2.19.
The intersection's y-coordinate is:
y = -1.25(2.19) + 10.5 = 7.76.
Another position where the line y = 4x - 1 intersects is:
y = 4(3) - 1 = 11.
As a result, point (3,11).
Learn more about the Lines here:
brainly.com/question/14511992
#SPJ1
Suppose we are making a 95% confidence interval for the population mean from a sample of size 15. What number of degrees of freedom should we use?.
Number of degrees of freedom should we use for sample size of 15 at 95% confidence interval is 14.
Given:
Suppose we are making a 95% confidence interval for the population mean from a sample of size 15.
Degrees of freedom:
Degrees of freedom indicate the number of independent pieces of information used to calculate a statistic; in other words - they are the number of values that are able to be changed in a data set.
we know that,
Degrees of freedom df = n - 1.
where n = sample size
df = sample size - 1
= n - 1
= 15 - 1
= 14
Therefore number of degrees of freedom should we use for sample size of 15 at 95% confidence interval is 14.
Learn more about the sample size here:
https://brainly.com/question/28044641
#SPJ1
Identify the property used in each step. 12.2 18.6 â€""4.3 (â€""18.6) 12.2 â€""4.3 18.6 (â€""18.6) 12.2 â€""4.3 [18.6 (â€""18.6)] 12.2 â€""4.3 (0) 12.2 â€""4.3 7.9
Properties used in the given equation is Commutative property, Associative property, Additive inverse, Identity property.
In a commutative property multiplication and addition which posses commutative property takes place without considering the order of arrangement of data.
12.2 + 18.6 + -4.3 + (-18.6)
12.2 + -4.3 _ 18.6 + (-18.6)
The second step results into the presence of a commutative property.
12.2 + -4.3 + [18.6 + (-18.6)] is an associative property because here, regrouping of numbers which gives the same result.
[18.6 + (-18.6)] is an additive inverse since the result is zero. Additive inverse occurs when the addition of a number to another number results into zero.
12.2 + -4.3 + (0) is an identity property.
This property occurs when the addition of any number with zero eventually resulted into that number.
So here we used 4 properties which are
Commutative property,
Associative property,
Additive inverse,
Identity property.
Given question is written in wrong language.
Here is the given question 12.2 + 18.6 + -4.3 + (-18.6)12.2 + -4.3 + 18.6 + (-18.6)12.2 + -4.3 + [18.6 + (-18.6)]12.2 + (-4.3) + (0)12.2 + -4.3 7.9
To know more about property here
https://brainly.com/question/17271811
#SPJ4
A candy store sells caramels and milk chocolate by the pound. The table below shows the total cost, in dollars, for a pound of each type of candy the store sells.
Type of Candy Price per pound (dollars)
Caramels $9.28
Milk Chocolate $12.80
How much more is the cost for 1 3/4 pounds of milk chocolate than the cost for 1 3/4 pounds of caramel?
The cost for [tex]1\frac{3}{4}[/tex] pounds of milk chocolate is $ 6.16 more than the cost for [tex]1\frac{3}{4}[/tex] pounds of caramels.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The cost of each pounds of Caramels = $ 9.28,
So, the cost of [tex]1\frac{3}{4}[/tex] pounds of caramels = [tex]1\frac{3}{4}[/tex]×9.28
=7/4×9.28=$16.24
The cost of each pounds of milk chocolate = $ 12.80
So, the cost of [tex]1\frac{3}{4}[/tex] pounds of milk chocolate = [tex]1\frac{3}{4}[/tex] ×12.8
=$22.24
∵ 22.4 > 16.24,
the cost of [tex]1\frac{3}{4}[/tex] pounds of milk chocolate > The cost of [tex]1\frac{3}{4}[/tex]pounds of caramels
22.4-16.24=6.16
Hence, the cost for [tex]1\frac{3}{4}[/tex] pounds of milk chocolate is $ 6.16 more than the cost for [tex]1\frac{3}{4}[/tex] pounds of caramels.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Which pair of triangles is congruent by AAS congruence theorem?.
The pair of triangles in the option B are congruent by AAS congruence theorem.
What is AAS congruence theorem ?
The Triangles Are Congruent Theorem (AAS) states that if two angles and a non-included side in one triangle are congruent to two angles and the matching non-included side in another triangle.
AAS congruence theorem full form is Angle Angle Side .
This means 2 angles 1 side have to be same for the two triangles to be congruent.
So, in the option B, the 2 angles and 1 side same for the two triangles .
To learn more about the AAS congruence theorem from the given link
https://brainly.com/question/3168048
#SPJ4
When a truckload of apples arrives at a packing plant, a random sample of 175 apples are selected and examined for bruises and other defects. In reality, 10% of the apples on a particular truck are bruised or otherwise unsatisfactory.
(a) How many standard errors away from 0.1 would you need to go to contain 89% of the sample proportions of bad apples you might expect to find? (3 decimal places)
(b) Suppose you were going to construct an 89% confidence interval from this population. What critical value should you use? (3 decimal places)
The critical value used is (10 – 2.5, 10 + 2.5) when, the mean is 10 and confidence level is 89%.
The confidence interval for a population with a known standard deviation is based on the fact that the sample means follow an approximately normal distribution. Suppose
mean = 10
as, we have 89% confidence interval (5, 15)
where EBM = 5.
To get 89% confidence interval,
mean = 10 of the normal distribution.
Then, the critical value we use is
(10 – 2.5, 10 + 2.5).
So, the critical value used is (10 – 2.5, 10 + 2.5) when, the mean is 10 and confidence level is 89%.
Hence, the critical value used is (10 – 2.5, 10 + 2.5) when, the mean is 10 and confidence level is 89%.
Learn more about Mean and Standard deviation here https://brainly.com/question/26941429
#SPJ4
How many solutions exist for the given equation 12x 1/3 4x 1 2?.
There exists infinitely many solutions for the given equation 12x + 1 = 3(4x + 1) – 2
Here, we are given an equation as follows-
12x + 1 = 3( 4x + 1 ) – 2
Let us solve the equation to get the value of the variable x.
12x + 1 = 12x + 3 – 2
12x + 1 = 12x + 1
Thus, here, we see that the Left hand side is exactly equal to the right hand side. This means that the given equation has infinitely many solutions.
Therefore, there exists infinitely many solutions for the given equation 12x + 1 = 3(4x + 1) – 2
Learn more about linear equations here-
https://brainly.com/question/14323743
#SPJ4
Your grandmother is 87 years old and she has remarked to you that nearly all of her friends are women. She told you that it is rare to see a man older than age 85. She is correct because, after age 85, for every 100 men, there are __________.
200 women
The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.
Given,
In the question:
Your grandmother is 87 years old and she has remarked to you that nearly all of her friends are women. She told you that it is rare to see a man older than age 85. She is correct because, after age 85, for every 100 men, there are __________.
Now, According to the question:
Your grandmother is 87 years old and she told you that all of her friends are women. There is no single man in her circle of friends. She also told that it is rare to see a man over the age of 85. It is because of the fact that women are more in number than man above the age of 85 and this ratio is like 100 men per 200 women, which means the chances of getting a male friend is almost half after the age of 85. So women are more in number than men.
Hence, The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.
Learn more about Age at :
https://brainly.com/question/14253497
#SPJ4
