Answer:
The statistical test to be used is the paired t-test.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference between these two means.
We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.
For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.
Similarly, in this case a paired t-test would be used to deter whether there was any changes in the cholesterol level within each group as result of the treatment.
Thus, the statistical test to be used is the paired t-test.
solve f (x)=3x+6 f(300)
Answer:
\(f(300)=906\)
Step-by-step explanation:
\(f(x)=3x+6\\\\f(300)=3(300)+6\\\\f(300)=900+6\\\\\boxed{f(300)=906}\)
Hope this helps.
Keith is the owner of a cafe. He bought 28.6 pounds of apples for making pies. Apples cost$1.75 per pound. He also bought a can of chocolate syrup for $27.75. What was the amount that Keith spent?
Answer:
$77.514
Step-by-step explanation:
28.6 x 1.74 + 27.75 = 77.514
A clothing eCommerce company has an Average Order Value of USD 65. It costs the company USD 35 to produce the clothes in the average order and USD 15 to ship it to the customer. What is the Average Order's Gross Profit?
USD 65
USD 30
USD 15
USD 50
The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.
For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;
⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit
⇒ Gross Profit = USD 65 - USD 35 - USD 15
⇒ Gross Profit = USD 15
Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.
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Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
If a = (0,0) and b= (8,2) what is the length of ab
Step-by-step explanation:
on the coordinate grid you can imagine a right-angled triangle.
the direct distance between the 2 points is the Hypotenuse (the baseline opposite of the 90° angle).
and the x-coordinate difference and the y- coordinate difference of the 2 points are the 2 legs.
we can then use Pythagoras
c² = a² + b²
with c being the Hypotenuse, a and b being the legs.
so,
distance² = (8-0)² + (2-0)² = 64 + 4 = 68
distance (= length ab) = sqrt(68) = sqrt(4×17) = 2×sqrt(17) =
= 8.246211251...
Please help me please !
Answer:
A) (a+2)(a-2)
Step-by-step explanation:
The answer is A.
Erika's toy is valued at €450. Its value increased by 10% then decreases by 10% the year after. What is the value of Erika's toy after these two changes?
Answer:
€445.50-------------------------
Initial value of the toy is €450.
After 10% increase the value is:
€450 + 10% = €450*1.1 = €495After further 10% decrease the value becomes:
€495 - 10% = €495*0.9 = €445.50The final value of the toy is €445.50.
4. When Petra went shopping, she bought 2 pounds of sugar, 34 pounds of ground
beef, 23 pounds of cheese, and a 7-pound can of tomatoes. What was the total
weight of her purchases?
Answer: To find the total weight of Petra's purchases, we need to add up the weight of each item she bought:
2 pounds of sugar
34 pounds of ground beef
23 pounds of cheese
7 pounds of tomatoes
Adding these weights together gives us:
2 + 34 + 23 + 7 = 66 pounds
Therefore, the total weight of Petra's purchases was 66 pounds.
Step-by-step explanation:
A person Invests $1,800 in an account that earns 3.38% annual Interest. Find when the value of the investment reaches $3,200.
Answer:
9.4674
Step-by-step explanation:
The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y. Simplify completely.
x = 4, y = 6
[?]
y =
Answer:
\(y=-\frac{3}{2}\)
Step-by-step explanation:
\(\text{y = kx where k is a constant.}\)
\(6 = -4k\\k = \frac{6}{-4} =-\frac{3}{2}\)
A scientist studying earth's rotation determines that a specific location on earth's equator travels about 40,000 kilometers in one day. What is the approximate speed of the location, in miles per hour, due to earth's rotation
Answer:
Step-by-step explanation:
Discussion
The first thing you have to do is convert km to miles
Formula
1 mile = 1.6 km
x mile = 40000 km Cross Multiply
Solution
1.6*x = 1 * 40000 Divide by 1.6
x = 40000/1.6
x = 25000 miles
Answer Part 1
The distance covered is 25000 miles
Discussion Part 2
That's the distance covered in a day. Now we need to convert that to speed. The time (in hours) for 1 day is 24 hours.
Givens
d = 25000 miles
t = 24 hours
s = ?
Solution
s = d/t
s = 25000 / 24
s = 1041.66 miles per hour
Answer: 1041.66 is what is to be entered as your answer
The spinner below shows 5 equally sized slices. Mal spun the dial 1000 times and got the following results.
Outcome White Grey Black
Number of Spins 389 406 205
Fill in the table below. Round your answers to the nearest thousandth.
The experimental probability that the next spin falls in a black region is given as follows:
0.205 = 20.5%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:
p = 205/1000
p = 0.205.
p = 20.5%.
Missing InformationThe problem asks for the experimental probability that the next spin falls in a black region.
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Explain the difference between probability, chance, and odds
Answer:
Probability: The fraction you would expect to see a certain event occurring in many trials.
Ex: the probability of an event (blank) happening might be 0.75. This is more known as the normalized probability.
Chance: Chance is a synonym of probability, is usually expressed as a percentage
Ex: 100%
Odds: They are the ratios of probabilities, they can be defined in two different ways: odds in favor of an event (“odds on”) or against an event (“odds against").
Ex: let's just say if the probability of an event occurring is 0.75, then the odds for it happening are 0.75/0.25 = 3/1 = 3 to 1 while the probability that it doesn’t occur is 1 to 3 against.
Step-by-step explanation:
The common multiples of 3 and 4 are: ____ And ____?
Answer:
1
Step-by-step explanation:
3: 1, 3
4: 1,2,4
So only one can work.
Hope this helps you!! :D
Answer:
1 & 12
Step-by-step explanation:
Martin is two years younger than three times his daughter Ada’s age. The sum of their ages is 54. If Ada’s age is given by a, then which equation below fully models in the information given in this problem?
Answer:
Martin is 40 and Ada is 14Step-by-step explanation:
Martin's age = mAda's age = aMartin is two years younger than three times his daughter Ada’s age:
m = 3a - 2The sum of their ages is 54:
m + a = 54Solving this equation for m:
m = 54 - aEliminate m:
3a - 2 = 54 - aSolve for a:
3a + a = 54 + 24a = 56a = 56/4a = 14Find m:
m = 54 - 14 = 40Martin is 40 and Ada is 14
I need help with finding the pair of angles
Answer:
Straight
Step-by-step explanation:
supplementary means sum of two angles
with 180
Assume that Hogan Surgical Instruments Co. has $2,500,000 in assets. If it goes with a low-liquidity plan for the assets, it can earn a return of 18 percent, but with a high-liquidity plan, the return will be 14 percent. If the firm goes with a short-term financing plan, the financing costs on the $2,500,000 will be 10 percent, and with a long-term financing plan, the financing costs on the $2,500,000 will be 12 percent.
The the anticipated return after financing cost with the most aggressive asset financing mix is $200000.
Most aggressive
Low liquidity = $2,500,000 *18%
Low liquidity = $450,000
Short-term financing = -$2,500,000*10%
Short-term financing = -$250,000
Anticipated return = $450,000 + (-$250,000)
Anticipated return = $200,000
Most conservative
High liquidity = $2,500,000 *14%
High liquidity = $350,000
Long-term financing = –$2,500,000 * 12%
Long-term financing = -$300,000
Anticipated return = $350,000 + (-$300,000)
Anticipated return = $50,000
Moderate approach
Low liquidity = $2,500,000 *18%
Low liquidity = $450,000
Long-term financing =–$2,500,000 * 12%
Long-term financing = -$300,000
Anticipated return = $450,000 + (-$300,000)
Anticipated return = $150,000
Moderate approach
High liquidity = $2,500,000 *14%
High liquidity = $350,000
Short-term financing = -$2,500,000*10%
Short-term financing = -$250,000
Anticipated return = $350,000 + (-$250,000)
Anticipated return = $100,000
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Complete question:
a. Compute the anticipated return after financing cost with the most aggressive asset financing mix.
b. Compute the anticipated return after financing cost with the most conservative asset financing mix.
c. Compute the anticipated return after financing cost with the two moderate approaches to the asset financing mix.
of the three stress-strain curves shown here (a, b, c), which of the following statements is most likely true. of the three stress-strain curves shown here (a, b, c), which of the following statements is most likely true. material b is likely a metallic material because it shows brittle behavior. material a is likely a ceramic material because it shows brittle behavior. material c is likely a polymeric material because it shows brittle behavior. material c is likely a ceramic material because it shows ductile behavior. material b is likely a ceramic material because it shows brittle behavior.
Based on the stress-strain curves shown, the most likely statement is that Material A is likely a ceramic material because it shows brittle behavior.
Brittle behavior is characterized by low ductility and little plastic deformation before failure, which is evident in the stress-strain curve for Material A. The curve for Material B shows some plastic deformation before fracture, which indicates a higher level of ductility than Material A. The stress-strain curve for Material C shows a high level of ductility, with a long plastic deformation region before fracture. This behavior is typical of polymeric materials, so Material C is most likely a polymeric material.
It is not possible to determine the specific type of material based solely on stress-strain curves, as many materials can exhibit similar behaviors. Additionally, it is not accurate to say that Material B or Material C are likely ceramic materials based on their stress-strain curves, as both exhibit significant plastic deformation before failure, which is not typical of brittle ceramics.
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The midpoint of \overline{\text{AB}}AB is M(-6, -4)M(−6,−4). If the coordinates of AA are (-4, -3)(−4,−3), what are the coordinates of BB?
Answer:
The coordinates of B is (-8,-5).
Step-by-step explanation:
The midpoint of line AB is M. The coordinate of M is (-6,-4).
The coordinates of A is (-4,-3)
We need to find the mid point of B.
If M(x,y) is the midpoint of the coordinates (x₁,y₁) and (x₂,y₂). The mid point theorem is used as follows :
\(M(x,y)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\)
Let the mid point of B is (x₂,y₂). Put (x,y) = (-6,-4), (x₁,y₁) = (-4,-3).
\((-6,-4)=(\dfrac{-4+x_2}{2},\dfrac{-3+y_2}{2})\\\\\dfrac{-4+x_2}{2}=-6\ \text{and}\ \dfrac{-3+y_2}{2}=-4\\\\-4+x_2=-12\ \text{and}\ -3+y_2=-8\\\\x_2=-12+4\ \text{and}\ y_2=-8+3\\\\x_2=-8\ \text{and}\ y_2=-5\)
So, the coordinates of B is (-8,-5).
The coordinates of B are (-8, -5).
Given that,
The midpoint of AB is M(-6, -4). If the coordinates of A is (4,-2),
We have to determine,
The coordinates of B.
According to the question,
The midpoint of line AB is M. The coordinate of M is (-6,-4).
And the coordinates of A is (-4,-3)
If M(x, y) is the midpoint of the coordinates (x₁, y₁) and (x₂, y₂). The midpoint theorem is used as follows :
\(M(x, y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})\)
Let the midpoint of B be (x₂, y₂).
M (x, y) = (-6,-4), and (x₁, y₁) = (-4,-3).
\(M(-6, -4) = ( \dfrac{-4+x_2}{2}, \dfrac{-3+y_2}{2})\\\\\)
Solving the equation for the co-ordinate B.
\(\dfrac{-4+x_2}{2} = -6\\\\-4 + x_2 = -6 \times 2\\\\-4 + x_2 = -12\\\\x_2 = -12+4\\\\x_2 = -8\)
And,
\(\dfrac{-3+y_2}{2} = -4\\\\-3 + y_2 = -4 \times 2\\\\-3 + y_2 = -8\\\\y_2 = -8 + 3\\\\y_2 = -5\)
Hence, The required coordinates of B are (-8, -5).
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Is the relation a function? {(15,9), (8, 14), (11,2), (14, 14), (8, 2)}
Answer:
yes
Step-by-step explanation:
it is a many to one function
could you vote me brailiest plz, im trying to level up. thx :)
Answer:
Relation
Step-by-step explanation:
This is a relation and not a function.
Because, in (8, 14) and (14, 14) range values are repeated.
Courtney knows that there are about 2.2 pounds in every kilogram. If she has a medicine ball
that weighs 3.6 kilograms, about how many pounds does it weigh?
2 pounds
o 6 pounds
8 pounds
10 pounds
Answer:
For this case we know that the medicine ball weighs 3.6 Kg and we know that there are about 2.2 pounds in every Kg.
So then we can find the amount Kg with this expression:
\( 3.6 Kg *\frac{2.2 pounds}{1 Kg} = 7.92 pounds\)
And if we round to the nearest integer we got 8 pounds and the best answer would be:
8 pounds
Step-by-step explanation:
For this case we know that the medicine ball weighs 3.6 Kg and we know that there are about 2.2 pounds in every Kg.
So then we can find the amount Kg with this expression:
\( 3.6 Kg *\frac{2.2 pounds}{1 Kg} = 7.92 pounds\)
And if we round to the nearest integer we got 8 pounds and the best answer would be:
8 pounds
Answer:8
Step-by-step explanation:round 7.92
Help me please………………………
HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer would be 180
hope i helped
Bob dio cuatro quintos de sus lapices a barbara, luego dio dos tercios de los lapices restantes a bonnie, si termino con 10 lapices para el... ¿ cuantos lapices tenia bob al principio?
Bob had 50 pencils in the beginning.
How is a fractional number expressed?A fractional number is expressed in the form -
x/y {where y ≠ 0)
Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.
Assume that he had {x} pencils in the beginning. We can write -
4x/5 + 2/3(x - 4x/5) = 10
4x/5 + 2x/3 - 8x/15 = 10
x(4/5 + 2/3 - 8/15) = 10
x = 10/0.93
x = 50
Therefore, Bob had 50 pencils in the beginning.
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{QUESTION IN ENGLISH -
Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}
Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of 48.3 ppm and a standard deviation of 8 ppm. The Environmental Protection Agency takes a random sample of 40 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 48.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate comp
Answer:
0.4364 = 43.64% probability that the disposal of such capacitors will be regulated.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 48.3 ppm and a standard deviation of 8 ppm.
This means that \(\mu = 48.3, \sigma = 8\)
Sample of 40:
This means that \(n = 40, s = \frac{8}{\sqrt{40}}\)
Find the probability that the disposal of such capacitors will be regulated.
Sample mean above 48.5, which is 1 subtracted by the p-value of Z when X = 48.5. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{48.5 - 48.3}{\frac{8}{\sqrt{40}}}\)
\(Z = 0.16\)
\(Z = 0.16\) has a p-value of 0.5636.
1 - 0.5636 = 0.4364
0.4364 = 43.64% probability that the disposal of such capacitors will be regulated.
How many faces does the solid made from the net below have?
Pleaseeee help!!!!!!!!!!! I'll see if I could give you Brainliest
Answer:
6/4 or 1 1/4
Step-by-step explanation:
1/4 times 6 because the question is asking for the recipe to be made 6 times. So 1/4 times 6 or 1/4 time 6/1 is 6/4 or 1 1/4.
Answer:
2/3 cups
Step-by-step explanation:
if we put all ingredients toghether will have
1/4+2/3+1 and 1/3=1/4+1 and 2/3+1/3=1/4+ 2= 2cups and 1/4 or 2.25 cups
So 2.25 cups is 1 batch of dressing
6 cups is x batches of dressing
cross multiply x=6*1/2.25= 6/2.25
so insted of 1/4 vineger will need (1/4)(6/2.25)=6/9=2/3 cups of vinegar
hello there looking for help here thanks. giving brainliest if able to
Answer:
angles 2 and 10 are corresponding Angles while angles 6 and 11 are alternate Angles
Answer:
1. False Same side exterior angles refers to same side transversal An example; opposite ends both same side of transversal. see 2nd attachment.
2. False interior alternate are both interior alternate on a Z 3 would be alternate with 6 as both are within the z and diagonally opposite at ends of the z shape.
3. True (yes both same sides of transversal one is left of parallel line the other is left of the next parallel.
4. False ( 12 is only alternate with 1 as alternate is within the z shape as exterior and opposite sides of the transversal)
Step-by-step explanation:
Alternate Interior Angles – Alternate interior angles are the pair of angles on the inner side of the two parallel lines but on the opposite side of the transversal. Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal
Same side exterior angles - are seen on the blue spots on the 2nd diagram transversal
For the attached graph two questions:
1. What does the slope of the line represent, in context of the problem?
2. What does the y intercept represent, in context of the problem?
The slope of the line represents the speed in miles per hour
The y intercept represents the initial distance
What does the slope of the line representfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
x = time in hours
y = distance in miles
The slope is
slope = change in y/x
So, we can conclude that the slope is the speed
What does the y intercept representBy definition, the y intercept is the initial value of the graph
In this case;
y intercept = initial distance
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