For each statement, express the null hypothesis H_0 and alternative hypothesis H_1 in symbolic form. 1. IQ scores of statistics students have a standard deviation at most 15. A. H_0 :μ<15,H_1 :μ≥15 B. H_0​ :σ≥15,H_1​ :σ<15 C. H_0​ :μ≤15,H_1 :μ>15 D. H_0 :σ≤15,H_1 :σ>15

Answer:

g(x) = 3(x - 5)^2 + 6

Step-by-step explanation:

(x - k) moves it to the right

8 - 2 moves it 2 down

Answer:

3/4

hope this helps. have a nice day :>

Answer: based on the information that you gave me, I think the answer is :

A. sex is an explanatory variable; starting salary is the response variable ;area of specialization is a possible confounding variable

hope this helps

Step-by-step explanation:

A hypothesis is a tentative explanation that predicts the relationship between two or more variables to be tested, whereas a theory is a more general and established explanation that predicts future outcomes.

A hypothesis is a statement or proposition that is assumed to be true in order to prove or disprove a theorem or conjecture through logical reasoning and mathematical proof.

A theory is a systematic and coherent set of concepts, principles, and mathematical models that explain a wide range of related phenomena and make predictions that can be tested and verified through experimentation or observation.

According to the given information:

In scientific research, a hypothesis is a specific prediction or statement that proposes a possible relationship between two or more variables, which can be tested through experimentation or observation. It is a tentative explanation that seeks to explain an observed behavior or phenomenon, and it can be used to guide future research and experimentation.

On the other hand, a theory is a more general and comprehensive explanation of an observed behavior or phenomenon that has been tested and supported by numerous experiments and observations. A theory can be thought of as a well-established and widely accepted explanation that can be used to predict future outcomes and guide further research.

To summarize, a hypothesis is a specific prediction that can be tested through experimentation or observation, while a theory is a more general and established explanation that has been supported by numerous experiments and observations.

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The significance level for each comparison in the Bonferroni procedure should be set at approximately .017 to maintain an overall significance level of .05 for three comparisons.

The Bonferroni procedure is a statistical method used to adjust the significance level when conducting multiple comparisons. It is important to plan the comparisons before the study is conducted to avoid bias and ensure the validity of the results.

In the case of maintaining an overall significance level of .05 for three comparisons, the significance level for each individual comparison should be set at .05 divided by the number of comparisons. In this case, there are three comparisons, so the adjusted significance level for each comparison would be .05 divided by 3, which is approximately .017.

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The price elasticity of the supply is 0.43.

The relationship between the percentage change in a product's quantity demanded and the percentage change in price is known as price elasticity of demand. It helps economists comprehend how supply and demand shift in response to changes in a product's price.

Price Elasticity of Demand =\(\frac{Percentage Change in Quantity}{Percentage Change in Price }\)=\(\frac{\Delta Q}{\Delta P}\)

Further, the equation for price elasticity of demand can be elaborated into

Percentage change in quantity=ΔQ=\(\frac{(q_{2}-q_{1})}{(q_{2}+q_{1})}}\)

Percentage change in quantity=ΔP=\(\frac{(p_{2}-p_{1})}{(p_{2}+p_{1})}}\)

Where, \(q_{1}\)= Initial quantity, \(q_{2}\)= Final quantity,\(p_{1}\)= Initial price and \(p_{2}\) = Final price

Here,  \(q_{1}\)=10000,\(q_{2}\)=5000

Percentage change in quantity=ΔQ

=\(\frac{10000-5000}{10000+5000}\)

=\(\frac{5000}{15000}\)

=0.333

Here,  \(p_{1}\)=20 and \(p_{2}\)=15

Percentage change in quantity=ΔP

= \(\frac{20-15}{20+15}\)

=\(\frac{5}{35}\)

=0.143

Price Elasticity of Demand

=\(\frac{Percentage Change in Quantity}{Percentage Change in Price }\)

=\(\frac{0.333}{0.143}\)

=2.33

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Answer:23.4$

Step-by-step explanation:

Answer:

4(x + 3)

Step-by-step explanation:

So, to solve these questions is pretty simple.

4 times what equals 4x, and 4 times what equals 12?

Well,

4 times x  = 4x, and 4 times 3 = 12.

soo.

4(x + 3)

Answer:

4x+12  factor 4 out of the equation

19) : -7x=5.6⇒ x=-5.6/-7

x/8- 5/2=5/2 common factor

(x-20)/8 =5/2

2(x-20)=40

2x-40=40

2x=80

Answer:

\(2(6 + 4) - 3(5) \\ 12 + 8 - 15 \\ = 5\)

Answer:

1

Step-by-step explanation:

2*6+4-3*5

12+4-15

16-15

1

Answer:

$17.55

Step-by-step explanation:

If each magazine cost $1.95, and we want 9, we have to multiply $1.95 and 9 together to get $17.55.

Hope it helped!

Answer:

Answer:

5 (4x+3) (4x-3)

Step-by-step explanation:

Both terms are perfect squares, so factor using the difference of squares formula

a^2 - b^2 = (a+b)(a-b)

a will be 4x, and b will be 3

Further solve and you will have your answer

Answer: \(5(4x+3)(4x-3)\)

Step-by-step explanation: Whenever dealing with a factoring problem, always take the GCF which in this case is five. Once in simplest form with the GCF taken out, it will be easy to factor.

Work :

Start by Factoring out the 5 as it is the GCF

\(5(16x^2-9)\)

Use the \(a^2-b^2 = (a+b)(a-b)\) in order to completly factor

\(5(4x+3)(4x-3)\)

That's it!

Answer:

the answer is 30

you do :

90+60=150

180-150=30

Answer:

x = 12 y = 10.392

Step-by-step explanation:

Calculators are very helpful these days.

If Sophie has n books, then Joanna has n + 3 books since she has 3 more books than Sophie.

Answer:

n+3

Step-by-step explanation:

We can combine the same letters, but not with numbers. If I said Sophie has 8 books, you'd say Joanna has 8 + 3 = 11 books. Joanna instead has n + 3 books. That's your final answer.

The value of the quotient expression (2x - 3)/x/7/x² is x(2x - 3)/7

From the question, we have the following parameters that can be used in our computation:

(2x - 3)/x/7/x²

This quotient expression can be expressed as

(2x - 3)/x/7/x² = (2x - 3)/x ÷ 7/x²

Express the quotient expression as a product

So, we have

(2x - 3)/x/7/x² = (2x - 3)/x * x²/7

Evaluate

(2x - 3)/x/7/x² = x(2x - 3)/7

Hence, the value of the quotient expression is x(2x - 3)/7

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Answer:

x = 54

Step-by-step explanation:

If the given triangles ΔTUV and ΔMLK,

Their corresponding sides will be in the same proportion.

Therefore, proportional relation will be,

\(\frac{x}{117}=\frac{60}{130}\)

x = \(\frac{60\times 117}{130}\)

  = \(\frac{7020}{130}\)

  = 54

Therefore, length of the side having measure x is 54 units.

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The store clerk is stocking the shelves. He places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that weighs 385 grams, and a box of crackers that weighs 435 grams. The total weight in kilograms is 1.67 kilograms.

Given:

The weight of the box of cereal = 850 grams.

The weight of the box of granola bars = 385 grams.

The weight of the box of crackers = 435 grams.

The total weight in kilograms of the above boxes.

Total weight of the boxes = 850 + 385 + 435 grams= 1670 grams.

To convert grams to kilograms, we divide it by 1000.

So, the weight in kilograms= 1670/1000= 1.67 kilograms.

Hence, the total weight in kilograms of the above boxes is 1.67 kilograms.

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Answer: x = 1

Explanation: 2(1) = 2 + 18 = 20

Answer:

X=1

Step-by-step explanation:

2x+18=20

subtract both sides by 18

divide both sides by 2

Answer:

2 w ^2 − 28 w + c

Step-by-step explanation:

That's what I got use math(way)to see it

Answer:

An apportionment is the allocation of a loss between all of the insurance companies that insure a piece of property. This allocation is used to determine a percentage of liability for each insurer.

I'm new here! Sorry if this didn't help

We have proven that 21 divides 4n+1 + 52n−1 whenever n is a positive integer.

To prove that 21 divides 4n+1 + 52n−1 whenever n is a positive integer, we need to show that the expression 4n+1 + 52n−1 is divisible by 21, or in other words, that there exists an integer k such that:

4n+1 + 52n−1 = 21k

To do this, we can use mathematical induction.

Base case:

When n = 1, we have:

4(1) + 5(1) - 1 = 8

8 is not divisible by 21, but we can verify that it is true for n = 2:

Inductive step:

Assume that the statement is true for some positive integer k, that is:

4k+1 + 52k−1 = 21m

where m is some integer.

We need to show that the statement is also true for k + 1, that is:

4(k+1)+1 + 52(k+1)−1 = 21p

where p is some integer.

Starting with the left-hand side of the equation:

4(k+1)+1 + 52(k+1)−1

= 4k+5 + 52k+3 (using algebraic manipulation)

= 4k+1 + 4(4)k+4 + 5(52)k+1 + 5(52)−1

= (4k+1 + 52k−1) + 4(16k+1) + 5(52)k

Since we assumed that 4k+1 + 52k−1 is divisible by 21, we can substitute 21m for this term:

(4k+1 + 52k−1) + 4(16k+1) + 5(52)k = 21m + 4(16k+1) + 5(52)k

Simplifying further:

21m + 4(16k+1) + 5(52)k = 21(m + 16k + 5k) + 4

Since 21(m + 16k + 5k) is divisible by 21, we have shown that 4(k+1)+1 + 52(k+1)−1 is also divisible by 21. Therefore, by mathematical induction, the statement is true for all positive integers n.

Therefore, we have proven that 21 divides 4n+1 + 52n−1 whenever n is a positive integer.

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Bill's speed is constant after 5 seconds and 45 meters into the race.

Correct responses:

a. Bill's maximum speed is 8 m/s

b. 24 meters

c. 57 meters

Given parameters are;

The distance of the race = 100 meter

Distance at which Bill reaches maximum speed = 45 meters

Speed Bill maintains after 5 seconds = The maximum speed

Time at which Bill is 85 meters from the starting line = 10 seconds after start

a. Required;

Bill's maximum speed in meters.

Solution:

Distance Bill runs at maximum speed, d = 85 m - 45 m = 40 m

Time at which Bill runs the 40 m at maximum speed, t = 10 s - 5 s = 5 s

\(Speed = \mathbf{\dfrac{Distance}{Time}}\)

Therefore;

b. i. Required:

The distance Bill will run for 3 seconds at the maximum speed;

Solution:

Distance, s = Speed, v × Time, t

The distance traveled at maximum speed in 3 seconds is therefore;

Distance = 8 m/s × 3 s = 24 m

The distance Bill travels in 3 seconds at the maximum speed is 24 meters.

ii) The distance Bill travels at 8 seconds after start, is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 3 seconds = 24 meters

Therefore;

c. Bill's distance 6.5 seconds after the start of the race is given as follows;

Distance traveled in the first 5 seconds = 45 meters

Distance traveled in the next 1.5 seconds = 1.5 s × 8 m/s = 12 meters

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No, molar mass is a constant and does not depend on pressure or temperature.

Molar mass is a physical property of a substance and is the mass of one mole of a given substance. It is a constant value that represents the amount of grams of a substance that contains 022 x 1023 atoms or molecules. Since molar mass is a constant, it does not depend on pressure or temperature. Pressure and temperature can affect the physical and chemical properties of a substance, but they do not have an effect on the molar mass. The molar mass of a substance can be useful in determining molecular and empirical formulas, as well as calculating densities and molar concentrations.

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The monthly payment on the car is approximately $640.62. The correct option is A

The formula for the monthly payment on a continuously compounded loan can be expressed as:

P = (r * A) / (1 - (1 + r)^(-n))

Where

Plugging in the given values, we get:

P = (0.046 * 35000) / (1 - (1 + 0.046/12)^(-6*12))

P ≈ $640.62

Therefore, the monthly payment on the car is approximately $640.62.

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The shaded area of the figure is equal to 297 square centimeters.

In this question we find a shaded figure, whose area can be found as a subtraction of the areas of two triangles from the area of a rectangle. The area formulas are defined below:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

Now we proceed to compute the shaded area:

A = (18 cm) · (22 cm) - 0.5 · (9 cm) · (13.2 cm) - 0.5 · (9 cm) · (8.8 cm)

A = 297 cm²

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The point-slope form of the line is y - (3/4) = 5(x - (3/4)).

The point-slope form of a line is written as y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. To find the point-slope form of a line that has a slope of 5 and passes through the point (3/4, 3/4), we can plug in the values for the slope and the point into the point-slope formula. This gives us y - (3/4) = 5(x - (3/4)). This is the point-slope form of the line.

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Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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