The quadratic function of y= ?

The probability that the sample proportion will be less than 0.9222.

Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.

P( p<0.1768 ) =  P( X < 11.6688), where X = p*66

We convert to standard normal form, Z ~ N(0,1)

by z1 = (x1 - u )/s

z1 =( x - u)/s =  (11.6688 - 7.92 )/2.64 = 1.42

P( X < x1) = P( Z < z1)

= P( Z < 1.42)

= 0.9222

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Solution:

A few tips...

Changing the sign of the given equation.

This could only mean that the arrow would go to 1.25 units forward. Then a second arrow will be drawn to go 0.75 units back.

The graph that matches with the above info is Option C.

Answer:

[C]

Step-by-step explanation:

Knowing that:

Alway start at 0.

Since 1.25 is the first number as well as it is positive..

Therefore, {Find a number lines that start at 0 going to the right of the number line}

Right of the number line ⇒ Positive

Left of the number line ⇒ negative

Hence, we can conclude that [B] and [D] and [A]  is wrong.

Because [B] is getting negative when 1.25 is positive

Because [D] Doesn't start at 0.

Because [A} Doesn't start a 0.

Now we have -0.75

which is 1.25 subtracted 0.75

1.25 - 0.75 = 0.5

Hence, base on [C] number line we can conclude that it correct.

~lenvy~

The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

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If the sales tax is 7%, the price of the sunglasses is  $61.6962

She has $70 gift card for a department store.

She buys a new glasses with her gift card.

The gift card had a remaining balance of $3.66.

Therefore,

amount she bought the sunglasses with tax = 70 - 3.66 = $66.34

Hence,

Sales tax = 7 / 100 × 66.34 = $4.6438

Therefore,

The original price before tax = 66.34 - 4.6438 = $61.6962

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Answer:

The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Step-by-step explanation:

We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:

P = 7200/D

To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

So the distance between supports needed to carry 1600 lb is 4.5 feet.

To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Answer:

D

Step-by-step explanation:

1.10 and .75 I'd 1.85 which is less than 6

Answer:

d

Step-by-step explanation:

The required target debt/equity ratio is 0.5 or 1:2.

To calculate the target debt/equity ratio,

Use the following formula,

⇒ Target D/E Ratio = (Target Equity / Target Debt)

First, we need to calculate the weights of equity and debt in the firm's capital structure.

We can use the following formula,

Weight of Equity = Equity / (Equity + Debt)

Weight of Debt = Debt / (Equity + Debt)

Since the firm is unlevered,

its capital structure consists only of equity.

Therefore,

The weight of equity is 1 and the weight of debt is 0.

Now we can use the weighted average cost of capital (WACC) formula to find the firm's current cost of equity.

The WACC formula is as follows,

WACC = (Weight of Equity Cost of Equity)

                        + (Weight of Debt Cost of Debt x (1 - Tax Rate))

Substituting the given values, we get:

⇒ 10% = (1 Cost of Equity) + (0 9% x (1 - 34%))

Solving for Cost of Equity, we get:

Cost of Equity = 10% - (0 9% (1 - 34%))

Cost of Equity = 10%

Since the firm desires a cost of equity of 14%,

we can set up an equation to solve for the target debt/equity ratio:

⇒ 14% = (1 / (1 + Target D/E Ratio)) 10% + ((Target D/E Ratio) / (1 + Target D/E Ratio)) 9% x (1 - 34%)

Simplifying the equation, we get:

⇒ 14% = 10% / (1 + Target D/E Ratio) + 0.0594 x Target D/E Ratio

Multiplying both sides by (1 + Target D/E Ratio), we get:

⇒ 0.14 + 0.14 Target D/E Ratio = 0.1 + 0.0594 Target D/E Ratio

Subtracting 0.0594 x Target D/E Ratio from both sides, we get:

⇒ 0.08 x Target D/E Ratio = 0.04

Dividing both sides by 0.08, we get:

⇒ Target D/E Ratio = 0.5

Therefore, the firm's target debt/equity ratio is 0.5 or 1:2.

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Solution

For this case we can do this:

5/7 km

The reason is because we just need to divide the total distance (5km) by the 7 friends

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

Answer:

B,E,F,G

Step-by-step explanation:

Classical Music, Country Music

Blue, Green, Red

Male, Female

Apples, Oranges, Pears

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Answer:

\(h(x)=-5x^2+10x-2\)

Step-by-step explanation:

\(h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x)=-5(x^2-2x+1)+3\\\\\implies h(x) = -5x^2+10x-5+3\\\\\implies h(x)=-5x^2+10x-2\)

The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4.

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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The composition of functions is solved and the expressions are

a) ( g o f ) ( -1 ) = 1

b) ( g o f ) ( 0 ) = 4

c) ( f o g ) ( -1 ) = -2

d) ( f o g ) ( 4 ) = -1

Given data ,

Let the composition of function be represented as A

Now , the value of A is

a)

( g o f ) ( -1 ) = g ( f ( -1 ) )

On simplifying the function , we get

when x = -1 , f ( -1 ) = 2

g ( 2 ) = 1

So , ( g o f ) ( -1 ) = 1

b)

( g o f ) ( 0 ) = g ( f ( 0 ) )

On simplifying the function , we get

when x = 0 , f ( 0 ) = 0

g ( 0 ) = 4

So , ( g o f ) ( 0 ) = 4

c)

( f o g ) ( -1 ) = f ( g ( -1 ) )

On simplifying the function , we get

when x = -1 , g ( -1 ) = 2

f ( 2 ) = -2

So , ( f o g ) ( -1 ) = -2

d)

( f o g ) ( 4 ) = f ( g ( 4 ) )

On simplifying the function , we get

when x = 4 , g ( 4 ) = 1

f ( 1 ) = -1

So , ( f o g ) ( 4 ) = -1

Hence , the composition of function is solved

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Answer:

(2 , 30)   & (4, 60)

Step-by-step explanation:

y = 15x

When x = 2 , y = 15*2 = 30

When x = 4 ;   y = 15 *4 = 60

The length of one leg is 11.66, and x is 8.33.

The formula for the perimeter of a triangle, which is the sum of the lengths of its three sides:

Perimeter = side₁ + side₂ + side₃

In this case, we know that the perimeter is 35, and one of the sides is 2x - 5. Let's assume the other two sides are equal, and we'll call their length y:

35 = 2x - 5 + y + y

Simplifying the equation:

35 = 2x - 5 + 2y

40 = 2x + 2y

20 = x + y

Now we can use the fact that the other two sides are equal to solve for y in terms of x:

2x - 5 = y

Substituting into the equation we just derived:

20 = x + 2x - 5

25 = 3x

x = 8.33

So the length of one leg is:

2x - 5 = 2(8.33) - 5 = 11.66

Therefore, the length of one leg is 11.66, and x is 8.33.

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Answer:

x = \(\frac{17}{14}\)

Step-by-step explanation:

simplify both sides of the equation

-9x + 10 - 5x = - 7

-9x + 10 + - 5x = -7

(-9x + -5x) + (10) = -7 (combine like terms)

-14x + 10 = -7

subtract 10 from both sides

-14x + 10 - 10 = -7 - 10

-14x = -17

divide both sides by -14

\(\frac{-14x}{-14}\) = \(\frac{-17}{-14}\)

x = \(\frac{17}{14}\)

Answer:

0.82 = 82% probability that the sum of the 95 wait times you observed is between 670 and 796

Step-by-step explanation:

Uniform distribution:

The uniform distribution has two bounds, a and b.

The mean is given by:

\(M = \frac{b - a}{2}\)

The standard deviation is given by:

\(S = \sqrt{\frac{(b-a)^2}{12}}\)

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.

n values from an uniform distribution can be approximated to a normal with mean \(\mu = nM\) and standard deviation \(\sigma = S\sqrt{n}\)

Uniformly distributed over the interval [0,15].

This means that \(a = 0, b = 15\). So

\(M = \frac{b - a}{2} = \frac{15}{2} = 7.5\)

\(S = \sqrt{\frac{(b-a)^2}{12}} = \sqrt{\frac{(15-0)^2}{12}} = 4.33\)

You observe the wait time for the next 95 trains to arrive.

This means that \(n = 95\), so \(\mu = 95*7.5 = 712.5\), and \(\sigma = 4.33\sqrt{95} = 42.2\)

a) What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796

This is the p-value of Z when X = 796 subtracted by the p-value of Z when X = 670. So

X = 796

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{796 - 712.5}{42.2}\)

\(Z = 1.98\)

\(Z = 1.98\) has a p-value of 0.976.

X = 670

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{670 - 712.5}{42.2}\)

\(Z = -1.01\)

\(Z = -1.01\) has a p-value of 0.156.

0.976 - 0.156 = 0.82

0.82 = 82% probability that the sum of the 95 wait times you observed is between 670 and 796

The value of side EA is,

EA = 16.9

We have to given that;

Circle E with diameter CD and radius EA.

And, AB is tangent to E at A.

Here, AB = 34 and EB = 38

Hence, By using Pythagoras theorem we get;

AB² + AE² = EB²

34² + AE² = 38²

1156 + AE² = 1444

AE² = 1444 - 1156

AE² = 288

AE = √288

AE = 16.9

Thus, The value of side EA is,

EA = 16.9

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Answer:

Last Option : D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

15 hours

Step-by-step explanation:

9 lawns is 3 times as much as 3 lawns

it will take 3 times as long

3 * 5 hours = 15 hours

Answer:

m∠F = 100

Step-by-step explanation:

Sum of interior angles in a hexagon is 720.

( x - 60 ) + ( x - 40 ) + 130 + 120 + 110 + ( x - 20 ) = 720

x + x + x - 60 - 40 - 20 + 130 + 120 + 110 = 720

3x - 120 + 120 + 130 + 110 = 720

3x + 130 + 110 = 720

3x + 240 = 720

3x = 720 - 240

3x = 480

x = 480 / 3

x = 120

m∠F = x - 20

Substitute the value of x,

m∠F = 120 - 20

m∠F = 100

Answer:

the answer of that would be 6

Answer:

1/6

Step-by-step explanation:

The die is rolled once, so it is 1 out of the total number on the die ie 6, as a die has only faces or sides so its obvious out of these 6 faces only one will show.

Answer:

G

Step-by-step explanation:

Try to understand what this equation is saying and what plugging in different values would represent.

At x=0, b(0)=850; which means the initial balance is $850. So H is incorrect.

At x=1, b(1)=871.25; which means that after 1 year, the initial balance will have increase to $871.25. So J is incorrect.

Since the initial vacation of 850 is being multiplied by a factor which is greater than one, the balance will be increased each year. So F is incorrect.

Finally, if we look at the factor by which we are multiplying, do a simple Algebraic step, and convert it into percentages we get:

1.025 = (1 + 0.025) = 100% + 2.5%

Essentially this is showing us that the balance will increase by 2.5% on however much is in the account each year.

So G is your answer.

A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Answer:

14x-9

Step-by-step explanation:

Answer:

13/3m

Step-by-step explanation: