If Sara wanted her total amount paid to be even lower ,what could she do?

We have the following details

mean = 554

n = 60

bar x = 567

alpha = 0.01

A. h0. u = 554

H1. u > 554

B. Given that the standard deviation is known what we have to make use of is the independent z test

test statistics calculation

567-554/(39/√60)

= 2.582

d. at alpha = 0.01 and test statistics = 2.582, the value of the p value = 0.0049

0.0049  < 0.01. So we have to reject the null hypothesis.

e. Yes We have to accept that  we support the preparation course's claim that the population mean SAT score of its graduates is greater than 554

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Answer:

Step-by-step explanation:

The difference in balances is:

Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

Answer:

7.107 > 7.017

0.200 = 0.200

8.008 < 8.080

13.190 > 13.090

Answer:

Step-by-step explanation:

Let the number of carrots is c and number of heads of lettuce is l.

The expression would be:

Answer:

3x+5

Step-by-step explanation:

please can i have brainliest?

Answer:Marquis Lafayette

Step-by-step explanation:

This shouldn't be in mathematics?

~ Use the distance formula to measure the lengths of the sides.

~ Use the slope to check whether sides are perpendicular and form right angles.

~ Use the slope to check whether the diagonals are perpendicular to each.

I hope this helps ^-^

Answer:

240°

Step-by-step explanation:

Draw a line EF perpendicular to AB and CD passing through M

In △BME 

∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)

∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘

In △DMF

∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )

∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘

x=∠DMF+∠BME+∠EMF

x=15∘+45∘+180∘x=240∘

Answer:

n = 9

Step-by-step explanation:

5(n-3) = 30

Expand the brackets. (Multiply n by 5 then multiply -3 by 5.)

5n-15 = 30

Isolate 5n.

5n = 30+15

Evaluate.

5n = 45

Find n.

n = 45 ÷ 5

n = 9

Answer:

n = 9

Step-by-step explanation:

1) divide both sides by 5 to cancel it out

       (n-3=6)

2) add 3 to each side to cancel out the -3

       (n=9)

You could factor the 5 to get 5n-15=30 but dividing by 5 just makes the number easier

Answer:

When you get your blood pressure numbers, there are two of them. The first, or “top” one, is your systolic blood pressure. The second, or “bottom,” one is diastolic blood pressure.

Step-by-step explanation:

The dimensions of the rectangular poster are 9 inches by 22 inches.

Let's assume the width of the rectangular poster is x inches.

According to the given information, the length of the poster is 4 more inches than two times its width. So, the length can be expressed as 2x + 4 inches.

The formula for the area of a rectangle is length × width. In this case, the area is given as 198 square inches.

Therefore, we have the equation:

(2x + 4) × x = 198

Expanding the equation:

\(2x^2 + 4x = 198\)

Rearranging the equation to standard quadratic form:

\(2x^2 + 4x - 198 = 0\)

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

x = (-b ± √\((b^2 - 4ac\))) / (2a)

Plugging in the values:

x = (-4 ± √\((4^2 - 4(2)(-198)))\) / (2(2))

x = (-4 ± √(16 + 1584)) / 4

x = (-4 ± √1600) / 4

x = (-4 ± 40) / 4

Simplifying:

x = (-4 + 40) / 4 = 9

x = (-4 - 40) / 4 = -11

Since we are dealing with dimensions, the width cannot be negative. Therefore, the width of the poster is 9 inches.

Substituting the value of x back into the length equation:

Length = 2x + 4 = 2(9) + 4 = 18 + 4 = 22 inches

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The time taken by an algorithm that performs two steps, the first taking f(n) time and the second taking g(n) time, is the sum of the two individual steps, which is f(n) + g(n).

When an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, the total time the algorithm takes can be found by adding f(n) and g(n).

If an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, then the total time the algorithm takes is the sum of the two individual steps, which is f(n) + g(n).

Therefore, the time taken by the algorithm would be proportional to the sum of the time complexity of the two steps involved.

Let's take a closer look at the options provided:

f(n) + g(n): This is the correct answer. As mentioned earlier, the time taken by an algorithm is proportional to the sum of the time complexity of the two steps. Therefore, the time complexity of this algorithm would be f(n) + g(n).f(n)g(n): This is not the correct answer.

Multiplying the time complexity of the two steps does not provide a meaningful measure of the total time taken by the algorithm. Therefore, this option is incorrect.

f(n²) + g(n²): This is not the correct answer.

Squaring the time complexity of the steps is not meaningful and cannot provide an accurate estimate of the total time taken by the algorithm.

Therefore, this option is incorrect.

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The height of the drone would be about 132.92 feet.

What is a tangent ratio in trigonometry?

The tangent ratio is the ratio of the opposite side to the adjacent side of a right triangle. Same to the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right-angle triangles.

Given that the angle of elevation from the first and second base to the drone is 77° 9' and 65° 45' 18", respectively.

\(77^o9'=77\frac{9}{60}=77.15^o\)

\(65^o 45' 18"=65+\frac{45}{60}+\frac{18}{3600}\\\\65^o 45' 18"=65.755^o\)

tan 77°9 = h/AD        and        tan 65.75°=h/DB

AD + DB = 90

h/tan 77°9 + h/65.75° = 90

Solving this we get

h ≈ 132.92 feet.

Hence, the height of the drone would be about 132.92 feet.

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When the null hypothesis is rejected

The  conclusion is that there is enough evidence to support the claim of the researcher

When a type I error occurs. The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect

When a type II error occurs. The consequences is  that the conclusion that there is enough evidence  to support the claim of the researcher is actually correct      

From the question we are told that,

Generally if the null hypothesis is rejected then the conclusion would be that there is enough evidence to support the claim of the researcher

Generally a Type I error is a an error that occurs when the null hypothesis is incorrectly rejected

So in the case of this question the consequence of making this type of error is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect

Generally a Type II  error is an error that occurs when the null hypothesis is incorrectly not rejected

So in the case of this question the consequence of making this type of  

error is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct.

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for the line that goes up - it cuts the y-axis at - 5  (p = -5)

when we take 2 points we go from one to the other by going to the right of 1 unit and going up of 3 units (slope m : 3/1)

=> y = 3x - 5

and

for the line which goes down - it cuts the y-axis in +2 (p=2)

when we take 2 points we go from one to the other by going to the right of 2 units and going down of 1 unit (slope m : -1/2)

=> y = -1/2x + 2

=> y + 1/2x = 2

2x + 4y = 8

=> B

Answer:

3p + 12

Step-by-step explanation:

5p -3p + 9 + p + 3

Move around the parts of the equation

5p -3p + p + 9 + 3

Add positive 9 to positive 3

5p -3p + p + 12

Add positive p to negative 3p

5p -2p + 12

Combine positive 5p and negative 2p together

3p + 12

I Hope That This Helps! :)

Answer:

  30 minutes

Step-by-step explanation:

You want to know the number of minutes it will take Bob, who is starting 1 mile behind John, to catch up to John if Bob and John are walking the same direction at 5 mph and 3 mph, respectively.

The distance that needs to be closed between the two walkers is 1 mile. The difference in their walking speeds is 5 -3 = 2 mph. This means the distance will be closed in ...

  (1 mi)/(2 mi/h) = 1/2 h = 30 minutes

It will take 30 minutes for Bob to catch up to John.

__

Additional comment

We can graph their locations east of where John starts. The graphs of their positions intersect at (hours, miles) = (0.5, 1.5). That is, Bob will cover 2.5 miles in the 1/2 hour it takes him to catch John, who will have covered 1.5 miles in that time.

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Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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Answer:

Subtraction Property

Step-by-step explanation:

Subtraction Property Equality helps you to deduct the same number to get an identical equation from both sides of an equation.

Answer:

\(D. \: Subtraction \: Property\)

Step-by-step explanation:

\(subtraction \: of \: a \: perticular \: value \: \\ from \: both \: sides \: of \: the \: equation.\)

♨Rage♨

The distance between two points on a plane is calculated by finding the length of the straight line between them. The formula used to find the distance between two points (a,b) and (c,d) is given below:Distance = √((c - a)^2 + (d - b)^2)Hence,

the distance between the points (4, 3) and (8, 6) is calculated below:Distance = √((8 - 4)^2 + (6 - 3)^2) = √(4^2 + 3^2) = √(16 + 9) = √25 = 5Therefore, the correct answer is option A, i.e. √((c - a)^2 + (d - b)^2); 5.

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Answer:

The number of condominiums ranges between 578 thousand to 639.544 thousand between the years 2000 to 2008

Step-by-step explanation:

N=0.4825t4−11.293t3+65.26t2−48.8t+578

Putting t =0

N=0.4825(0)^4−11.293(0)^3+65.26(0)^2−48.8(0)+578

N= 578

Putting t =8

N=0.4825(8)^4−11.293(8)^3+65.26(8)^2−48.8(8)+578

N= 1976.32 - 5782.016+4176.64-390.4 +578

N= 639.544

The minimum number of condominiums sold are 578 thousand .

And the maximum number of condominiums sold are 639.544 thousand.

0.578. is  the probability that the size of the family is at least 3.

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.  

                                     Statistics describes the examination of events subject to probability.

P(X>=3) can be written as

= 1 - P(X<3)

= P(X<=2)

= 1-0.422

= 0.578

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It would take Jesse approximately 5.65 hours to finish sanding the table.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The area of the circular table can be found using the formula:

A = πr^2

where r is the radius of the circle (which is half of the diameter).

So, if the diameter of the table is 6 ft, then the radius is:

r = 6 ft / 2 = 3 ft

Using the formula for the area of a circle, we get:

A = π(3 ft)^2 = 28.27 square feet (rounded to two decimal places)

Jesse can sand 5 square feet every hour, so to sand the entire table, she would need to work for:

time = total area / sanding rate

time = 28.27 sq ft / 5 sq ft per hour = 5.65 hours (rounded to two decimal places)

Therefore, it would take Jesse approximately 5.65 hours to finish sanding the table.

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Answer:

521.96

Step-by-step explanation:

The equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.

To find the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection, we need to determine the derivative of the function and evaluate it at the point of inflection. First, let's find the derivative of y with respect to x: dy/dx = 3x^2 + 6x. The point of inflection occurs where the second derivative of the function changes sign. Taking the derivative of dy/dx, we have: d^2y/dx^2 = 6x + 6. Setting d^2y/dx^2 equal to zero and solving for x, we find: 6x + 6 = 0; x = -1.  At x = -1, the point of inflection is (-1, y) on the original function. To find the slope of the tangent line at this point, we substitute x = -1 into the derivative: dy/dx = 3(-1)^2 + 6(-1) = -3. So, the equation of the line tangent to the function at its point of inflection is: y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values, we have: y = -3x + b

To find b, we substitute the coordinates of the point of inflection (-1, y):y = -3(-1) + b; y = 3 + b. Since the point of inflection lies on the line, we can substitute the y-value and solve for b: 3 + b = x^3 + 3x^2 + 2; b = -6. Therefore, the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.

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JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Answer:

use photo math it's great and free

Answer: 70

Step-by-step explanation:

Answer:

.12

Step-by-step explanation:

See if the number after the hundreths is greater than or 5, which in this case its not, so you will round it by keeping it the same