Answer:
I think the first one is b, and sorry, I don't know the second one, but I can do some research and figure it out in comments sorry.
Step-by-step explanation:
each person in random samples of 237 male and 263 female working adults living in a certain town in canada was asked how long, in minutes, his or her typical daily commute was. is there enough evidence to show that there is a difference in mean commute times for male and female working residents of this town?
The null hypothesis was not refuted. There is insufficient evidence to support the assertion that male commute times are considerably longer than female commute times (P-value=0.155).
The data is:
Males n1 = 237
M1 = 31.6
s1 = 24.0
Females n2 = 263
M2 = 29.3
s2 = 24.3
This is a hypothesis test for a population mean differences.
According to the assertion, the average daily travel time for men is much longer than the average daily commuting time for women.
The null and alternative hypotheses are then:
\(H_{0}\) = \(\mu_m\) - \(\mu_f\) = 0
\(H_{a}\) = \(\mu_m\) - \(\mu_f\) > 0
The threshold of significance is set at 0.05.
The mean of Sample 1 (males) is 31.6, with a standard deviation of 24.
Sample 2 (females) does have a mean of 29.3 and a standard deviation of 24.3 (n2 = 263).
Md = 2.3 is the difference in sample means.
\(M_{d}\) = \(M_{m}\) - \(M_{f}\)
\(M_{d}\) = 31.6 - 29.3
\(M_{d}\) = 2.3
The formula to calculate the estimated standard error of the difference between the means:
\(S_{Md}\) = √(((σ1)² ÷ (n1)² + ((σ2)² ÷ (n2)²)
\(S_{Md}\) = √((24)² ÷ (237)²) + (24.3)² ÷ (263)²))
\(S_{Md}\) = √(0.0102 + 0.0085)
\(S_{Md}\) = 0.136
the t-statistic as,
t = ((\(M_{d}\) - ( \(\mu_m\) - \(\mu_f\) )) ÷ \(S_{Md}\))
t = ((2.3 - 0) ÷ 0.136)
t = 1.611
The degrees of freedom for this test are:
df = n1 + n2 - 1 = 237 + 263 - 1
df = n1 + n2 - 1 = 499
Because this is a right-tailed test with 499 degrees of freedom and t = 1.611, the P-value is determined as follows (using a t-table):
P - value = P(t > 1.611) = 0.155
The impact is not significant since the P-value (0.155) is greater than the significance threshold (0.05).
As a result, the null hypothesis was not rejected.
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____ : referring to the fact that the distance between two or more points is equal.
The term that refers to the fact that the distance between two or more points is equal is "equidistant".
In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.
Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.
The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.
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60% of 68 is what number? Choose the correct percent proportion to
represent the situation.
Answer:
40.8
Step-by-step explanation:
60% = 60/100
60/100 * 68
4080/100
40.8
Answer:
40.8
Step-by-step explanation:
d/68=60/100
60×68=4080
d×100=100d
4080=100d
4080÷100=40.8
100d÷100=d
d=40.8
hope this helps
6 X ( 15 - 7 ) - 4
A. 10
B. 24
C. 44
D. 79
Using Pedmas:
6 x (15-7) -4
6 x 8 -4
48-4 = 44
Answer: C. 44
Answer:
The answer is 44
Step-by-step explanation:
=(6)(8)−4
=48−4
=44
a starting lineup in basketball consists of two guards, two forwards, and a center. (a) a certain college team has on its roster five guards, four forwards, and three centers. how many different starting lineups can be created?
There are 180 different starting lineups that can be created for the college team.To find the number of different starting lineups that can be created for the college team, we need to use the combination formula.
The number of ways to choose k items from a set of n distinct items is given by the formula:
nCk = n! / (k! * (n-k)!)
where "!" denotes the factorial function, which means the product of all positive integers up to that number.
In this case, we want to choose 2 guards out of 5, 2 forwards out of 4, and 1 center out of 3. So the total number of different starting lineups that can be created is:
(5C2) * (4C2) * (3C1)
= (5! / (2! * 3!)) * (4! / (2! * 2!)) * (3! / (1! * 2!))
= (10) * (6) * (3)
= 180
Therefore, there are 180 different starting lineups that can be created for the college team.
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can someone please help me find the valu of x?
Since both triangles are right triangles, we can apply the Pythagorean theorem:
c^2 = a^2 + b^2
Where:
c = hypotenuse ( the longest side )
a & b = the other 2 legs of the triangle
for the left side triangle ( T1 )
9^2 = 6^2 + y^2
Let's label "y" the missing side on triangle 1 , which is a common side for both triangles.
81 = 36 + y^2
81 - 36 = y^2
45 = y^2
√45 = y
Now, with triangle 2:
x^2 = 8^2 + (√45)^2
Solve for x
x ^2 = 64 + 45
x^2 = 109
x = √109 = 10.44
URGENT!
find the value of x in each supplementary angle pair
Answer:
x = 14°
Step-by-step explanation:
We know that,
→ Straight line is always 180°.
Forming the equation,
→ 156° + (x + 10°) = 180°
Now the value of x will be,
→ 156° + (x + 10°) = 180°
→ x + 166° = 180°
→ x = 180° - 166°
→ [ x = 14° ]
Hence, the value of x is 14°.
The value of x in the given supplementary angle pair is 14°.
Explain the term supplementary angle?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° as well as angle 50° are complementary angles since the sum of these two angles is 180°.Two angles are classified as supplementary angles because they combine to generate a linear angle when their sum is 180 degrees. When two angles add up to 90 degrees, however, they are thought to be complimentary angles and together they make a right angle.Then,
156 + (x + 10) = 180
166 + x = 180
x = 180 - 166
x = 14°
Thus, the value of x in the given supplementary angle pair is 14°.
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(q18) Determine c such that f(c) is the average value of the function
on the interval [0, 2].
The correct option is for the value of c, such that f(c) is the average value of the function on the interval [0, 2], is D.
How to find the value of c?The average value of a function on an interval [a, b] is given by:
R = (f(b) - f(a))/(b - a)
Here the interval is [0, 2], then:
f(2) = √(2 + 2) = 2
f(0) = √(0 + 2) = √2
Then here we need to solve the equation:
√(c + 2) = (f(2) - f(0))/(2 - 0)
√(c + 2) = (2 + √2)/2
Solving this for c, we will get:
c = [ (2 + √2)/2]² - 2
c = 0.9
Them tjhe correct option is D.
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A rhombus with four 90° angles can also be called _____.
a. square
b. trapezoid
c. heptagon
d. rectangle
Answer:
square is the answer...
given 2 groups' weights, one with a standard deviation of 3.7 and one with a standard deviation of 4.5, which has the greater dispersion?
The group with a standard deviation of 4.5 has greater dispersion .
The standard deviation is a measure of the amount of variation or dispersion in a set of data. It is a measure of how far each data point is from the mean (average) of the set.
The standard deviation is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean. The. A larger standard deviation indicates a greater dispersion of the data.
In this case, the group with a standard deviation of 4.5 has greater dispersion than the group with a standard deviation of 3.7, so the group with a standard deviation of 4.5 has greater dispersion.
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The expressions p(200 - 5p) and -5p2 + 200p define the same function. The function models the revenue a school would earn from selling raffle tickets at p dollars each. Can you find the following price without graphing? If the school charges $10, it will collect $1,500 in revenue. Find another price that would generate $1,500 in revenue
The revenue function is the sum of the profit and the cost function
Another price that would generate $1,500 in revenue is $30
How to determine the other priceThe revenue function is given as:
\(R(x) = 05p^2 + 200p\)
When the revenue is 1500, the equation becomes
\(-5p^2 + 200p = 1500\)
Collect like terms
\(-5p^2 + 200p - 1500 = 0\)
Divide through by -5
\(p^2 - 40p +300 = 0\)
Expand
\(p^2 - 30p - 10p +300 = 0\)
Factorize
\(p(p - 30) - 10(p -30) = 0\)
Factor out p - 30
\((p - 10) (p -30) = 0\)
Solve for p
p = 10 or p = 30
Hence, another price that would generate $1,500 in revenue is $30
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if an organization wants to test whether a minority of its employees are dissatisfied with their bonuses, the null hypothesis would be that the true population proportion would be:
if an organization wants to test whether a minority of its employees are dissatisfied with their bonuses, the null hypothesis would be that the true population proportion would be equal to 0.5
This is further explained below.
What is the null hypothesis?Generally, The null hypothesis is a common kind of statistical theory that proposes there is no statistical link and significance between two sets of observed data and measurable phenomena in a set of provided single observable variables.
In conclusion, In the event that a company is interested in determining whether or not a subset of its workers are unsatisfied with the incentives they get, the null hypothesis would state that the actual population percentage would be equal to fifty percent.
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CQ
If an organization wants to test whether a minority of its employees are dissatisfied with their bonuses, the nult hypothesis would be that the true population proportion would be: less than 5 OOOO greater than 5 not equal to 5 .5
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
A teacher buys a ruler for $2.25 and a sketchbook for $10.25 for each student in their classroom. The teacher spenes a total of 5525.0D for all of the
rulers and sketchbooks
Describe how the shapes moves to get from its position in each frame from the next.
Answer:
Mark me as brain list plz for fun I need to get my expert rank
Step-by-step explanation:
There is no attachment to see any grams post then I will answer
Given: 5(x - 2) = 2x - 4 Prove:
What’s the The proof ?
Answer:
Step-by-step explanation:
its not right equation
because
5X - 10 ≠ 2X - 4
Use factoring to solve the quadratic equation. Please provide an explanation.
x^2-25=0
Answer:
±5
Step-by-step explanation:
Given equation ,
=> x² - 25 = 0
=> x² - 5² = 0
=> ( x +5)(x-5) = 0
=> x = ±5
Answer:
x = -5 or 5
Step-by-step explanation:
→ Factor the quadratic
( x + 5 ) ( x - 5 )
→ Equate each bracket to 0
x + 5 = 0 and x - 5 = 0
→ Solve each for x
x = -5 or 5
What is the sampling method that involves taking a random selection of people from a defined population?.
Simple random sampling is a sort of probability sampling in which a subset of participants from a population is randomly chosen by the researcher. There is an equal opportunity for selection for every person in the population. Then, information is gathered from as much of this random subset as is feasible.
What is simple random sampling, and why is it significant?
One technique researchers employ to select a sample from a broader population is a simple random sampling.
If there is an equal chance that any subject in a population will be chosen, this strategy is effective. In order to draw general conclusions about a group, researchers choose basic random sampling.
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Four students were asked to write an expression that has terms that have a greatest common factor of ab. The expressions provided by the students are shown below.
Michelle
16 a + 3 b
Naomi
18 a b c minus 13 a b c
Olivia
20 a b minus 14 a b c
Peyton
15 a b c + 14 a b
Which student wrote the correct expression?
Michelle
Naomi
Olivia
Peyton
Answer:
Peyton in the correct option
Step-by-step explanation:
The correct expression is given by Peyton.
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Consider if m is any integer, then
gcd (a + m⋅ b, b) = gcd (a, b).
If m is a positive divisor, then
gcd (a/m, b/m) = gcd (a, b)/m.
So, if x and y are prime, then
gcd(x*y, b) = gcd(x, b) * gcd(y, b).
First, find the greatest common factor of the given terms.
The greatest common factor or GCF is the largest factor that all terms have in common.
Then, Factor out the greatest common factor from each term.
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Mrs. Parker is providing lunch at her next staff meeting. She will pay $15.75 for 3 people for each lunch. At this rate, how much will it cost Mrs. Parker to feed 40 people?
Answer:
210
Step-by-step explanation:
15.75 divided by 3 equals 5.25
5.25 times 40 equals 210
a wheel for a wheel of winning game makes one revolution in 4 seconds. What is their unit rate in terms of minutes
It will take 15 revolutions per minute.
What is the unit rate?
An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.
Here, we have
Given: a wheel for a wheel of winning game makes one revolution in 4 seconds.
Take a time for 1 revolution = 4 seconds
Assume that the unit rate in terms of revolutions per minute is x.
1 rev/4 second = x rev/60 second
4x = 60
x = 15
Hence, it will take 15 revolutions per minute.
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Prove or disprove that the point (5,11−−√)(5,11) lies on the circle centered at the origin and containing the point (2,5√)(2,5).
The point does not lie on the center of the circle.
The point (5, 11) does not lie on the circle centered at the origin and containing the point (2, 5√).
The center of the circle in question is the origin (0, 0). The point (2, 5√) lies on the circle, so we need to check if the distance between the origin and (5, 11) is equal to the radius.
To determine if a point lies on a circle, we can calculate the distance between the center of the circle and the given point. If the distance is equal to the radius of the circle, then the point lies on the circle.
The distance between two points in a coordinate plane can be calculated using the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Calculating the distance between the origin and (5, 11), we have:
d = sqrt((5 - 0)^2 + (11 - 0)^2) = sqrt(25 + 121) = sqrt(146)=12.083.
Since the distance, sqrt(146), is not equal to the radius of the circle, the point (5, 11) does not lie on the circle centered at the origin and containing the point (2, 5√).
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The figure is a square. Its diagonals meet to form four right angles. What is the approximate value of x? 2. 8 units 3. 3 units 4. 0 units 5. 7 units.
Since the diagonals of a square are equal, they bisect each other and form 4 right angles.
Therefore, we have two congruent right triangles with legs x/2 and hypotenuse x. Using the Pythagorean theorem, we can solve for x:
(x/2)^2 + (x/2)^2 = x^2
2(x/2)^2 = x^2
x^2/2 = x^2
1/2 = 1
This leads to an absurdity, so there is no solution for x that satisfies the given conditions. Therefore, the answer is 4.0 Units.
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A box is made out of a 20-inch x 20-inch piece of cardboard by folding and cutting as shown on the picture as shown in the picture. Find the dimensions of a box with the largest volume.
If box is made out of a 20-inch x 20-inch piece of cardboard by folding then the volume is 8000 cubic inches
A box is made out of a 20-inch x 20-inch piece of cardboard by folding
The dimension of box are length 20 inches
Width is 20 inches
Height is 20 inches
Volume of box = length × width × height
=20×20×20
=8000 cubic inches
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The subject of the formula below is y.
a=4x/t - p
Rearrange the f make x the subject.
Answer:
x = t(a+p)/4
Step-by-step explanation
Given the expression
a=4x/t - p
We are to make x the subject of the formula
a=4x/t - p
Add p to both sides
a+p = 4x/t - p+p
a+p = 4x/t
Cross multiply
t(a+p) = 4x
Rearrange
4x = t(a+p)
Divide both sides by 4
4x/4 = t(a+p)/4
x = t(a+p)/4
If -11 + N = -11, then N is the
Answer:
additive identity
Step-by-step explanation:
-11+N=-11 N=0
ADD 11 TO BOTH SIDES
-11+N+11 =-11 +11
(-11 AND 11 CANCEL EACH OTHER OUT ) THEREFORE
N=0
*Additive Identity Property states The sum of any number and 0 is that number.
Find the area of the following triangle: 17 9 14 10 Note: Figure not to scale.
The product of two factors is 3,500. If one of the factors is 70, which is the other factor?
A.
50
B.
80
C.
500
D.
700
✨Answer:✨
A. 50
✨Step-by-step explanation:✨
3,500 ÷ 70 = 50
Check if answer is correct:
70 x 50 = 3,500
Telco Inc. , a manufacturing firm, is calculating its monthly productivity report. From the following raw data calculate the multifactor productivity. Labor rate Machine rate Units produced Labor hours Machine hours 2,000 Cost of materials $20,000 Cost of energy $20 $15 50,000 4,000 $5,000 A. 0. 370 B. 0. 625 C. 1. 500 D. 1. 667
When the multifactor productivity. Labor rate Machine rate Units produced Labor hours Machine hours 2,000 Cost of materials $20,000 Cost of energy $20 $15 50,000 4,000 $5,000 then the productivity is 1.667 so option D is correct.
Multifactor productivity (MFP) is a measure of how efficiently a company is using its resources. It is calculated by dividing the total output of a company’s production process by the total inputs used.
To calculate the MFP for Telco Inc., we need to first calculate the total output.
The total output is the number of units produced (50,000) multiplied by the cost of materials ($20,000) and the cost of energy ($20).
500000×20000×20= 1000000
This gives us a total output of $1,000,000.
Next, we need to calculate the total inputs used. The total inputs used is the labor rate (2,000) multiplied by the labor hours (4,000) plus the machine rate ($15) multiplied by the machine hours (5,000).
2000×4000+(15×5000)= 105000
This gives us a total input of $105,000. MFP is calculated by dividing the total output by the total inputs used. Therefore, the MFP of Telco Inc. is 1.667.
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calculate the surface area and then the volume
Answer:
To calculate the surface area and volume of a cylinder, we can use the following formulas:
a) Surface Area of a Cylinder:
The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.
The formula for the surface area of a cylinder is:
SA = 2πr² + 2πrh
Where:
SA = Surface Area
r = Radius of the base (half the diameter)
h = Height of the cylinder
Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.
Substituting the values into the formula, we get:
SA = 2π(8)² + 2π(8)(20)
= 2π(64) + 2π(160)
= 128π + 320π
= 448π
So, the surface area of the cylinder is 448π square yards.
b) Volume of a Cylinder:
The formula for the volume of a cylinder is:
V = πr²h
Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:
V = π(8)²(20)
= 64π(20)
= 1280π
The volume of the cylinder is 1280π cubic yards.