how do we decide whether to use a t test or an analysis of variance (anova) to analyze the data from an experiment?

Answer:   -25x + 15

Step-by-step explanation:

Because you asked

Answer:

To simplify the expression, we can use the rules of order of operations, which dictate that we should perform operations in the following order:

Perform any calculations inside parentheses or other grouping symbols, working from the innermost set of parentheses to the outermost.

Perform any exponents or radicals.

Perform all multiplications and divisions, working from left to right.

Perform all additions and subtractions, working from left to right.

Applying these rules to the expression -5(-3 + 5x), we get:

Perform any calculations inside parentheses or other grouping symbols, working from the innermost set of parentheses to the outermost:

$-5(-3 + 5x)$

$-5(-3) + -5(5x)$

$15 + -5(5x)$

Perform any exponents or radicals:

$15 + -5(5x)$

Perform all multiplications and divisions, working from left to right:

$15 + -5(5x)$

$15 + -25x$

Perform all additions and subtractions, working from left to right:

$15 + -25x$

Therefore, the simplified expression is 15 + -25x.

Step-by-step explanation:

The amount of saving in pounds is £7.00 and in percentage is 29.167%

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Cost of 500mm×500mm×0.7mm = £6.00

No. of sheets that can be cut will be = \(\frac{1000 * 1000 * 0.7}{500 *500 *0.7}\)

                                                             = 4 sheets

Cost of 1 sheet of 1000mm x 1,000 mm x 0.7 mm = £17.00

Cost of 4 sheets of 500 mm x 500 mm x 0.7 mm = £6.00 × £4.00

                                                                                 = £ 24.00

Hence saving = £ 24.00 - £17.00

                       = £ 7.00

Hence percentage of savings = 7/24 × 100

                                                  = 175/6

                                                  = 29.167%

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The calculated height of the man is 3.57 inches

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

Pole = 8 feet and 4 inches

Shadow = 7 foot

Shadow of man = 3 inches

using the above as a guide, we have the following:

Man height : 3 inches = 8 feet and 4 inches : 7 foot

So, we have

Man height = (8 feet and 4 inches)/7 foot * 3 inches

Evaluate

Man height = 3.57

Hence, the height of the man is 3.57 inches

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False. Span(u,v) includes linear combinations of both u and v.

The correct option is A

Now, According to the question:

When u and v are nonzero vectors, Span {u, v} contains only the line through u and the origin, and the line through v and the origin. b. Any list of five real numbers is a vector in ℝ5 .

Span(u,v) is the set of all linear combinations of u and v, meaning any combination of u and v multiplied by scalars. This includes scalar multiples of both u and v, but does not include the origin. To calculate Span(u,v), first write u and v as vectors u = (u1,u2,...,un) and v = (v1,v2,...,vn). Then, any linear combination of u and v can be written as c1u + c2v, where c1 and c2 are scalars, and the set of all such linear combinations is Span(u,v). For example, if u = (1,2) and v = (3,4), then Span(u,v) = {(1,2), (3,4), (4,6), (5,8), (7,10), ...}. In other words, Span(u,v) is the set of all scalar multiples of u and all scalar multiples of v.

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Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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Answer:

I belive the answer would be the first one. 2^28 x 3^20 x 9^4

Step-by-step explanation:

This is becasue you need to multiply the power on the outside of the parenthesis, (4).     7 times itself 4 times is 28, 5 times itself 4 times is 20, and then use the 4 for the 9. Hope this helps!

That would just be

66/24, as there is 24 minutes in a half

66/24=2.75 points

p = 2.75 points per min

Sample space of randomly selecting a US state is 50, the probability that the US state begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

a. What is the sample space?The sample space for randomly selecting one of the 50 US states is 50, i.e., the list of the 50 states.

b. What is the probability that it begins with M?The number of states that begin with M is 8. Therefore, the probability that the randomly selected US state begins with M is 8/50 or 4/25.

c. What is the probability that it doesn't begin with a vowel?There are 20 US states that don't begin with a vowel. Therefore, the probability that a randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

Randomly selecting a US state requires knowing the sample space, which in this case is 50. A sample space represents all possible outcomes of a random experiment. Therefore, the sample space for this problem represents the list of all 50 US states that can be randomly selected. The probability that a randomly selected US state begins with M can be calculated by dividing the number of states that begin with M by the total number of states. There are 8 US states that begin with M, hence, the probability of selecting a state that begins with M is 8/50 or 4/25. Finally, the probability that the randomly selected US state doesn't begin with a vowel is 20/50 or 2/5.

In conclusion, the sample space of selecting a US state randomly is 50, the probability that it begins with M is 4/25, and the probability that it doesn't begin with a vowel is 2/5.

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Answer:It is 20 students

Step-by-step explanation:

1. (A)  Section titles  (lines starting with %% followed by a space and then a title).

2. (B)  Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

The source of the section headers in the resulting document when publishing a script from the MATLAB Editor is:

a. Section titles (lines starting with %% followed by a space and then a title).

The statement that is not true about the purpose of code in the MATLAB Editor is:

b. Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. The commands that return a matrix of the same size as x, given a non-scalar matrix X, are:

a. mean(x)

b. sin(x)

c. log(x)

d. sum(x)

e. std(x)

f. sqrt(x)

All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

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It is correct to say that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. What is a perpendicular bisector? A perpendicular bisector is a line that intersects a line segment and forms a 90-degree angle. It divides the line segment into two equal halves.Each point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment. This means that the distance from any point on the line to one endpoint of the segment is the same as the distance to the other endpoint of the segment.

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Answer:

Find the volume of this prism.

Answer:

slope:35/70

y=0.5x +0

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

28:21=

7(4):7(3)=

4:3

x=3

Hope this helps!

Answer:

It is 1.68 so 168%

Step-by-step explanation:

The correct number line representation is option B.

what is number line ?

The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.

Tomas weight cannot be equal to 145 pounds

closed dot on the number line represents "145 included"

Open dot on the number line represents "145 not included"

Tomas weight  must be greater than 145 pounds

On the number line, the values increase from left to right

So, the correct number line representation is option B.

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Answer:

\(\boxed{225}\)

.

Step-by-step explanation:

Arithmetic sequence

\(Un = a + (n - 1)b\)

.

First step, find its difference

\(b = U_2 - U_1\)

\(b = 6 - 3\)

\(b = 3\)

.

So, we get

\(a = 3\)

\(b = 3\)

.

Finally, Let's find the 75th term

\(U_{75} = 3 + (75 - 1)3\)

\(U_{75} = 3 + (74)3\)

\(U_{75} = 3 + 222\)

\(U_{75} = 225\)

Answer:

225 is the answer

Step-by-step explanation:

hope this help

Answer:

z ≈ 145.62

Step-by-step explanation:

using the sine ratio in the right triangle

sin18° = \(\frac{opposite}{hypotenuse}\) = \(\frac{45}{z}\) ( multiply both sides by z )

z × sin18° = 45 ( divide both sides by sin18° )

z = \(\frac{45}{sin18}\) ≈ 145.62 ( to the nearest hundredth )

An overseas phone call is charged at one rate (a fixed amount) for the first minute

and at a different rate for each additional minute.

If a 7 minute call costs $10, and a 4 minute call costs $6.40, find each rate.

SOLUTION

This is a case of partial variation

C = a + k b

where C = cost of the call.

a = constant rate

k = per unit rate for a different rate for each additional minute.

when C= $10, b = 7

when C = $ 6. 40 , b = 4

10 = a + 7 k -------------- equ 1

6.40 = a + 4 k ................. equ 2

equation 1 minus equation 2 , we have :

10 - 6. 40 = 7 k - 4 k

3.60 = 3k

Divide both sides by 3 , we have :

k = 3. 60 / 3

k = 1.20

put k = 1. 20 in equ 1 , we have :

10 = a + 7 k

10 = a + 7 ( 1.20 )

10 = a + 8.40

a = 10 - 8. 40

a = 1. 60

CONCLUSION :

a = constant rate = $ 1.60 ( fixed amount) for the first minute.

k = per unit rate for a different rate for each additional minute = $ 1.20 per minute.



After 3 years and 9 months, the copier is worth $30,750. After 5 years, the salvage value of the copier is $35,000. The domain of the function is 0 <= t <= 5.

a. To find the value of the copier after 3 years and 9 months, we need to plug in the value of t into the function V(t). Since 3 years and 9 months is equivalent to 3.75 years, we plug in 3.75 for t:
V(3.75) = 3400(3.75) + 18000
V(3.75) = 12750 + 18000
V(3.75) = 30750
Therefore, the copier is worth $30,750 after 3 years and 9 months.

b. To find the salvage value of the copier after 5 years, we need to plug in 5 for t into the function V(t):
V(5) = 3400(5) + 18000
V(5) = 17000 + 18000
V(5) = 35000
Therefore, after 5 years, the salvage value of the copier is $35,000.

c. The domain of this function is the set of all possible values of t. Since the function is defined for the first 5 years of use, the domain is 0 <= t <= 5.

d. To sketch the graph of this function, we can plot a few points and connect them with a line. For example, we can plot the points (0, 18000), (1, 21400), (2, 24800), (3, 28200), (4, 31600), and (5, 35000). The graph will be a straight line with a positive slope, starting at (0, 18000) and ending at (5, 35000).

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The value of the definite-integral " \(\int\limits^{\frac{\pi}{2}} _0\)​​cos³β × sin⁴β dβ" after simplification is 2/35.

The definite-integral we have to integrate is :

First we rearrange it :  that is Cos²(β) = 1 - Sin²(β),

So, the expression can be written as : ∫Cos³(β) Sin³(β) dβ =

= ∫Cos(β) (-Sin⁴(β)(Sin(β)(Sin²(β) - 1)dβ,

We substitute, u = Sin(β),

We get,

du/dβ = Cos(β), so, dβ = 1/Cos(β),

the expression becomes : -∫u⁴(u² - 1) du,

= - ∫(u⁶ - u⁴) du,

= - (u⁷/7 - u⁵/5) + C,

= u⁵/5 - u⁷/7 + C,

= Sin⁵(β)/5 - Sin⁷(β)/7 + C,

So, \(\int\limits^{\frac{\pi}{2}} _0\)​​cos³β × sin⁴β dβ = [Sin⁵(β)/5 - Sin⁷(β)/7] [0  to π/2],

We have : (1/5 - 1/7) = 2/35.

Therefore, the required value is 2/35.

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The given question is incomplete, the complete question is

Evaluate the given equation. \(\int\limits^{\frac{\pi}{2}} _0\)​​cos³β × sin⁴β dβ

Answer: No, 0.75 is neither an integer nor a whole number.

Step-by-step explanation: A whole number is all natural numbers including zero. Integers are whole numbers and their opposites (so they include negative whole numbers, but not fractions). Hope this helps!!

Answer:

No

Step-by-step explanation:

It is neither. It is a rational number because it can be turn into a fraction.

Answer:

A

Step-by-step explanation:

They are congruent

Reactions at points A, C, and F are as follows: RA = -RC, RAy = RCy, and RF = 10 kN.

To determine reactions at points A, C, and F for the assembly consisting of two 10mm diameter rods (A-B and C-D), a 20mm diameter rod (E-F), and a rigid bar (H), with point G located midway between points E and F, and a force of 10 kN applied:

First, calculate the cross-sectional areas of the rods:
A1 = π(10mm)² / 4 = 78.54 mm² (for rods A-B and C-D)
A2 = π(20mm)² / 4 = 314.16 mm² (for rod E-F)

Next, calculate the effective modulus of elasticity for each rod:
E1 = E2 = 101 GPa

Now, use equilibrium equations to determine reactions at points A, C, and F:
ΣFx = 0: RAx + RCx = 0
ΣFy = 0: RAy + RCy + RF = -10 kN
ΣMG = 0: (RAy)(L/2) - (RCy)(L/2) = 0

Solving the equilibrium equations, we get:
RAx = -RCx
RAy = RCy
RF = 10 kN

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Answer:

the required truth value of the statement will be:

p              q              p →  q

T               T                T

Step-by-step explanation:

A conditional statement contains two parts:

We know that the truth table for the conditional statement is:

p              q              p →  q

T               T                T

T               F                F

F               T                T

F               F                T

Given the statement that "If yesterday was Tuesday then today is Wednesday" indicates that the hypothesis is true and the conclusion is also true. Meaning that we only get Wednesday if the previous day was Tuesday.

Thus the required truth value of the statement will be:

p              q              p →  q

T               T                T

Answer:

1320

Step-by-step explanation:

2/5 + 1/4 = 1320 = 0.65.

Answer:

13 / 20

Step-by-step explanation:

1. Add 2/5 + 1/4 = 2· 4/5 · 4 + 1 · 5/4 · 5 = 8/20 + 5/20 = 8 + 5/20 = 13/20

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 4) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 4 = 20. In the following intermediate step, the fraction result cannot be further simplified by canceling.

In other words - two fifths plus one quarter = thirteen twentieths.