Paula ran 3 1/3 laps in 13 1/3 mins. If she ran at a steady pace, how long did it take her to run one lap

It took paula _______ min to run one lap

Answer:

The first 3 student spend $8 per person

Step-by-step explanation:

1. $24=3x (divide both sides by 3)

2. $8=x

Hopefully I understood the question correctly

Assume that jessie and lester have formed a contract whereby jessie agrees to deliver 10,000 dozen grade a large eggs to be shipped in paper cartons. a shortage of paper makes paper cartons much more expensive, so jessie uses styrofoam cartons and ships the eggs. lester is entitled to cancel the contract based on a material breach of the contract: False.

A carton is a box or container that is typically composed of paperboard, corrugated fiberboard, or liquid packaging board. For packing, a variety of carton types are employed. A box may also be used to describe a carton.

A carton is a food or beverage container that is made of cardboard or plastic. A carton is a large, durable cardboard box used for storage and transportation of products.

The answer is false since Lester lacks the authority to terminate the agreement due to a substantial breach.

Thus, the given statement is false.

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Answer:

Step-by-step explanation:

We will look for a line that has the general form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

A line parallel to y=2x-1 will have the same slope, 2.

We can write y = 2x + b for the new line.  We need to find b.  We can use the given point in this equation and solve for b:

y = 2x + b

2 = 2(4) + b  for (4,2)

2 = 8 + b

x = -6

The parallel line to y=2x-1 that goes through point (4,2) is:

y = 2x-6

See the attached graph.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to write the equation of the line that passes through (4, 2) and is parallel to y=2x-1.

\(\triangle~\fbox{\bf{KEY:}}\)

Since the slope of the given line is 2, the slope of the line parallel to this one is also 2.

y=2x+c

Where: 2 is the y-coordinate of the point, and 4 is the x-coordinate.

Now, substitute 2 for y and 4 for x:

\(\longmapsto\sf{2=2(4)+c}\)

Simplify!

\(\longmapsto\sf{2=8+c}\)

Subtract 8 from both sides of the equal sign:

\(\longmapsto\sf{2-8=c}\)

\(\longmapsto\sf{-6=c}\)

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Answer:

Length = 21 yards

Width = 15 yards

Step-by-step explanation:

Let

Length = x

Width = x - 6

Perimeter ≤ 71 yards

Perimeter of a rectangle = 2 (length + width)

72 ≤ 2(x + x-6)

72 ≤ 2 (2x - 6)

72 ≤ 4x - 12

72 + 12 ≤ 4x

84 ≤ 4x

x ≤ 84/4

x ≤ 21

Length = x = 21 yards

Width = x - 6

= 21 - 6

= 15 yards

Answer:

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The sine ratio that was applied in step 2 is incorrect, therefore, the first error is in: B. step 2.

The sine ratio that is applied when we want to solve a right triangle is, sin ∅ = opposite length / hypotenuse length.

In step 2, the sine ratio applied is wrong because:

Thus, we should have:

sin(W) = XZ/y

The first error is in: B. step 2.

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Answer:

x = 16 and x = 15

Step-by-step explanation:

Given 2 chords intersecting then the product of the parts of one chord is equal to the product of the parts of the other chord.

(3)

7x = 14 × 8 = 112 ( divide both sides by 7 )

x = 16

(1)

8x = 12 × 10 = 120 ( divide both sides by 8 )

x = 15

The grocery store has an 84 percent chance of selling more than 390 tomatoes in a week.

The following formula can be used to compute the Z score:

Where,

Putting the values,

From the z score table, we get P(a j - 1) = 0.1586 = 15.86% = 16%

From the z score table, we get

Where X is the raw score, M is the sample mean, and S is the standard deviation.

Putting the figures together,

We get the following from the z score table:

According to the table, the likelihood less than the point is 390 with a z score of -1, and the probability larger than the point is 390 with a z score of -1. is, 100-16=84%

Hence In a week, the supermarket has an 84 percent probability of selling more than 390 tomatoes.

Standard deviation is a statistic that calculates the square root of variance and measures the variance of a data set about its mean. By calculating the deviation from the mean for each data point, the standard deviation is calculated as the square root of the variance.

A normal distribution with a mean of 455 and a standard deviation of 65 represents his weekly amount of tomatoes sold at the grocery store.

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a) Depositing $1,000 in an account at the Lifelong Trust Savings and Loan that pays 3% interest compounded quarterly will grow by $270.11  after 8 years.

b) If you want to buy a 6 year bond with a maturity value of $7,000, and you wish to get a return of 5.5% annually, you will pay a present value of $5,076.72 now.

c) The worth of the investment in Gold growing by 9% per year and CDs yielding 6% per year, compounded every 6 months, with the $10,000 winnings will be $28,148.28 in 14 years.

The present value is computed by discounting the future value at an interest rate while the future value is computing by compounding the presenet value at an interest rate.

Both the present value and the future value can be computed using an online finance calculator as follows:

a) Lifelong Trust Savings and Loan:

N (# of periods) = 32 quarters (8 years x 4)

I/Y (Interest per year) = 3%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

FV = $1,270.11

Total Interest (Growth)= $270.11

b) Bond:

N (# of periods) = 6 years

I/Y (Interest per year) = 5.5%

PMT (Periodic Payment) = $0

FV (Future Value) = $7,000

Results:

Present Value (PV) = $5,076.72

Total Interest = $1,923.28

c) $10,000 Lottery Winnings:

i) Investment in Gold:

N (# of periods) = 14 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $16,708.64

Total Interest = $11,708.64

ii) Investment in CDs:

N (# of periods) = 28 semi-annual periods (14 years x 2)

I/Y (Interest per year) = 6%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $11,439.64

Total Interest = $6,439.64

Woth of Investments in Gold and CDs = $28,148.28 ($16,708.64 + $11,439.64)

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Step-by-step explanation:

we need to find the number n of sold boxes, so that the income (sales) and costs (expenditures) are equal. this is called the break even point. any more boxes sold will then result in a profit, actually gaining money. and if she cannot reach that number of sold boxes, then she will make a loss.

so,

n×11 = n×3 + 24

n×8 = 24

n = 3

it will take 3 sold boxes of cards to break even.

at that point she will have spent $24 + 3×$3 = $33, and her sales will be 3×$11 = $33.

The Standard Error is ≈ $170.59

We need to find the standard error of the mean using the provided information. The formula for standard error of the mean is:

Standard Error = (Sample Standard Deviation) / √(Sample Size)

In this case, the sample standard deviation is $2,462, and the sample size is 208.

Plugging these values into the formula:

Standard Error = $2,462 / √208 Now, we calculate the square root of 208: √208 ≈ 14.42

Next, we divide the sample standard deviation by the square root of the sample size:

Standard Error = $2,462 / 14.42

Finally, we get the standard error: Standard Error ≈ $170.59

To show the answer to 2 decimal places, the standard error of the mean is approximately $170.59.

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Answer:

352

Step-by-step explanation:

8×11×4

volume=L×W×H

Answer:

x = 10

y =10√2

Step-by-step explanation:

 The ratio of the sides of 45°- 45° - 90° triangle is a : a :  a√2

The side opposite to angle 45°  is a

a = 10

⇒ x =  a

  \(\sf \boxed{\bf x = 10}\)

The side opposite to 90° is a√2

  y = a√2

    = 10√2

\(\sf \boxed{\bf y= 10\sqrt{2}}\)

Answer:

Step-by-step explanation:

is an isosceles right triangle, so x = 10

to find y we use pythagoras

y = √(10²+10²)

y = √200

y = 14.1 or 10√2

Each of the trigonometric ratio should be written as follows;

Sin57 = y/15.

Cos33 = y/15.

Tan57 = y/(15² - y²).

In Mathematics and Geometry, a trigonometric ratio (trig ratio) can be calculated by using the following mnemonic SOHCAHTOA:

Sinθ = Opposite side/Hypotenuse

Sin(57) = y/15

In Mathematics and Geometry, the cosine of an angle is modeled by this mathematical expression:

Cosθ = Adjacent side/Hypotenuse

Cos33 = y/15.

In Mathematics and Geometry, the tangent of an angle is modeled by this expression:

Tanθ = Opposite side/Adjacent side

Tan57 = y/(15² - y²).

From Pythagorean theorem, we have:

15² = y² + x²

x² = 15² - y²

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Answer:

74

,.......................

Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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The expected number of products that would be ready for purchase by customers would be approximately D: 26.

Out of each 100 products, 96 are ready for purchase, so the proportion of products that are ready for purchase is 96/100 = 0.96. If you select 27 products, we can use this proportion to calculate the expected (mean) number of products that would be ready for purchase by customers:

0.96 * 27 = 25.92

So, the expected number of products that would be ready for purchase by customers would be approximately 26.

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Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Won't tell ur mum.....

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Answer:

Hewo There!!!

______________________

63.... Um dear.... should I be worried....?

______________________

"Change is inevitable. Change will always happen, but you have to apply direction to change, and that's when it's progress." — Doug Baldwin

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Answer: 4.8

Step by step exclamation

Answer:

7.65

Step-by-step explanation:

15% of 51 is 7.65

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

XY = 3WX

3WX - XY = 0

X(3W - Y) = 0

By zero product rule, either X = 0 or 3W = Y.

YZ = 6WX = 2XY (From 1st equation)

2XY - YZ = 0

Y(2X - Z) = 0

Again by zero product rule, either Y = 0 or 2X = Z.

Therefore, either both X and Z = 0, or both W and Y = 0. Let's look at the last equation.

WZ = 10WX

10WX - WZ = 0

W(10X - Z) = 0.

Here, either W = 0 or 10X - Z = 0.

- If both X and Z were 0, 10X - Z = 0.

- If both W and Y were 0 instead, W = 0.

Since both ways satisfy the equation, it is proved.

The Required Sample size is 138 . Yes, this number of IQ test Score is a fairly large number.

In the given statements we have , An IQ test is designed such that

the mean of adults ( X bar ) = 100

standard deviations (σ ) = 18

Estimate the mean iq score of statistics students such that the confidence level is 95%

We know the value of Z score for given confidence level 95% is 1.96 .

Margin of error in IQ test = 3

we shall calculate the sample size here.

Using the Margin of error formula,

M.E = Z( √σ ²/n )

where, Z--> z score value

σ --> standard deviations

n ---> sample size

putting all the values in this formula we get ,

3 = 1.96 (√(18)²/n )

=> 3/1.96 = √324/n => (1.5306)² = 324/n

=> n = 324/ 2.342 = 138.29

Hence, the required Sample size is 138 .

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Complete question:

An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 3 IQ points of the true mean. Assume that σ =18 and determine the required sample size using technology.

Then determine if this is a reasonable sample size for a real world calculation.

The correct expression to access the last element would be a(1, 4), which is equal to 9.

If a = [3 5 7 9], the expression a(4, end) refers to the element in the fourth row and last column of matrix a.

In this case, matrix a has only one row, so a(4, end) is not a valid expression since there are no rows beyond the first row. Therefore, it doesn't correspond to any specific value in the matrix.

The correct way to access elements in matrix a would be a(1, 4), which represents the value in the first row and fourth column, resulting in the value 9.

To summarize, a(4, end) is not a valid expression for the given matrix a=[3 5 7 9].

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Answer:

If the question is to factor here is your answer. (x−7)(x−8)

Hope This Helps!

Answer:

A: the scale is missing

i hope this helps

Step-by-step explanation:

Answer:

the numbers are supposed to start at zero and the scale is missing

Answer: A

Step-by-step explanation:

The translated phrase into an algebraic expression is 15 + 2g

The phrase is given as:

15 more than twice Gail's height

Use the variable g to represent Gail's height.

So, we have:

15 + 2g

Hence, the translated phrase into an algebraic expression is 15 + 2g

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Answer:

the answer is D or A

Step-by-step explanation:

step-by-step explanation

I hope this helps