Pls help I’m really struggling with this

The mean of the population is 46 and standard deviation of the population is 4.

The mean of the sampling distribution of the sample mean will always be the same as the mean of the original non-normal distribution. In other words, the sample mean is equal to the population mean. Based on the information provided, the population mean is 46 minutes same as the mean of sample.

The standard deviation of the sampling distribution of means is equal to the standard deviation of the population divided by the square root of the sample size. Hence, standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the same size. Standard deviation 0.4 minutes and sample size is 100, hence standard deviation = 0.4/√100 = 0.4/10 = 4.

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Answer:

360 miles

Step-by-step explanation:

Step 1: 120 miles*3 hours

Step 2: 360 miles far.

Using the concept of Unit Cost, $5.34 is Jacks` total bill for buying 3.5 pounds of carrot and 1.25 pound of broccoli.

The unit price is  measurement used to represent the price of a particular good or service to be exchanged with the customers or consumers for money. The unit price refers to the price/unit of measures, such as price per pound, quart, ounce, or other units of weight or volume of the food package.

The unit price is important for both of customers and organizations. An organization cannot sustain without unit price itself for a long period by selling products at a lower price. Similarly, customers would not be able to buy the product if the value of the product is less than the price. The researcher suggests that the unit price information helps shoppers to save around 17-18% in supermarkets when they are educated on how to actually use it.

We are given Carrot cost of per pound is $0.99.

Therefore Carrot cost for 3.5 pounds=3.5×0.99= $3.465

Similarly, Broccoli cost of per pound is $1.50.

Therefore, broccoli cost for 1.25 pounds =1.25×1.50=1.875

Total bill = Broccoli cost+ Carrot cost

Total bill =3.465+1.875=$5.34

Hence,$5.34 is Jacks` total bill for buying 3.5 pounds of carrot and 1.25 pound of broccoli.

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The solution is, 28.5cm^2  is the area of shape B.

A solid object's surface area is a measurement of the total area that the surface of the object takes up.

The definition polyhedral of arc length for one-dimensional curves and the definition of surface area for (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.

A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.

This definition of surface area uses partial derivatives and double much simpler mathematical concepts than the definition of surface area integration and is based on techniques used in infinitesimal calculus. Sought a general definition of surface area.

(3×7)+(1.5×5)

21+7.5

28.5cm^2

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Answer:

255

Step-by-step explanation:

EXPLANATION We are looking for the number of adult tickets sold. number of adult tickets sold =x We are given that there were 61 more student tickets sold than adult tickets. number of student tickets sold =+x61 The total number of tickets sold was 511.

Answer:

gemma gets 6 and zac gets 12

Step-by-step explanation:

zac gets double the about

Answer:

16.1, 16, 16

Step-by-step explanation:

1) we are going to do the mean :)

you add all the number together and divide by the same number

you should get 354/22 which is 16.0909....... since its round to tenth place, we place it at 16.1.

2)  median, for this one, you have to lay out the numbers and see which one is in the middle, in 14,15,16,17,19, 16 is the median.

3)  the number that appear the most is the mode, so right now we have

three 17s and six 16s, don't worry about the others because its not in the answer choice, so its 16.

Hope this helps :D

Answer:

a = 3, b = 1, c = - 2

Step-by-step explanation:

Substitute n = 1, 2, 3, 4 into the nth term and equate to the values , that is

a + b + c = 2 → (1)

4a + 2b + c = 12 → (2)

9a + 3b + c = 28 → (3)

16a + 4b + c = 50 → (4)

Subtract (1) from (2) to eliminate c

3a + b = 10 → (5)

Subtract (3) from (4) to eliminate c

7a + b = 22 → (6)

Subtract (5) from (6) to eliminate b

4a = 12 ( divide both sides by 4 )

a = 3

Substitute a = 3 into 5) and solve for b

3(3) + b = 10

9 + b = 10 ( subtract 9 from both sides )

b = 1

Substitute a = 3 and b = 1 into (1) and solve for c

3 + 1 + c = 2

4 + c = 2 ( subtract 4 from both sides )

c = - 2

Then

a = 3, b = 1, c = - 2

and y = 3n² + n - 2 ← explicit formula

The decision rule will be t>1.761

What is meant be mean and standard deviation?

The ratio of sum of observations to the total number of observation is known as mean. It is one of the central tendency in the statistics. It gives an idea about the central value present in the data. The most sensitive measure of central tendency is mean. It is very easy to calculate. Mean playa a crucial role in daily life. The two types of means are Arithmetic mean and Geometric mean.

Standard deviation is a measure in the statistics. The amount of variation of a set of values is known as standard deviation. Standard deviation is denoted by σ.

This is a right tailed test with degrees of freedom = 15 -1=14

For 14 degrees of freedom and 0.05 significance level,

Critical value = 1.761

So,

The decision rule will be:

Reject  if t > 1.761

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Answer:

62%

Step-by-step explanation:

10 000 ÷ 100 = 100

620 ÷ 100

= 62%

A retirement savings goal of $1,060,123 by the age of 58, while starting at the age of 30 and making monthly deposits of $400, an annual interest rate of 3.69% compounded monthly and agrees to make monthly payments over a period of 5 years.

a) To determine the required annual interest rate to reach the retirement savings goal, the Rate function can be used in financial calculations. The known values in this scenario are the starting age (30), the retirement age (58), the desired savings amount ($1,060,123), and the monthly deposits ($400). By using the Rate function, the interest rate required to achieve the goal can be calculated. The formula for the Rate function is Rate(Nper, PMT, PV, FV). In this case, Nper represents the number of periods (in years), PMT represents the monthly deposit amount, PV represents the present value (initial savings), and FV represents the future value (retirement savings goal). By plugging in the given values, the function can determine the required interest rate.  

b) To calculate the monthly payments for a car loan, the known values are the borrowed amount ($40,000), the annual percentage rate (APR) of 3.69%, and the loan term of 5 years (or 60 months). The monthly interest rate is calculated by dividing the APR by 12 (to reflect monthly compounding). Using the loan formula for monthly payments, which is PMT = (P * r * (1 + r)^n) / ((1 + r)^n - 1), where PMT represents the monthly payment, P represents the principal amount (borrowed amount), r represents the monthly interest rate, and n represents the number of periods (in this case, the total number of months).  

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Answer:

The completed proportions are;

ED/A_F = CE/CA = CF/CD

Step-by-step explanation:

The given m∠CED = m∠A

∴ Angle ∠CDE = Angle ∠A_FC, (corresponding angles)

Angle ∠ECD = Angle ∠ACF (reflexive property)

Triangle ΔDCE is similar to triangle ΔACF (Angle Angle Angle (AAA) similarity)

In triangle ΔDCE and triangle ΔACF

m∠A is bounded by CA and A_F

m∠CED is bounded by CE and ED

∠DCE is bounded by CE and DE

∠C is bounded by CA and CF

Based on the orientation of the two triangles, we have

ED is the corresponding side to A_F, CD is the  corresponding side to CF, CE is the corresponding side to CA

Therefore, we have;

ED/A_F = CE/CA = CF/CD.

Answer:

0

Step-by-step explanation:

use a calculator =)

or

\(\sqrt[3]{125} = 5\\\sqrt{25} = 5\\ so , 5 - 5 = 0\)

Answer:

25.

Step-by-step explanation:

Answer:

t < 38/17

Step-by-step explanation:

Yes, 3 apple pies divided among 5 people

Now, According to the question:

"Information available from the question"

Apple shared equally

Portion of each person = 3/5

A possible way that shows how the pies were shared.

7/5 is the ration of the pie to each individual (Jerry and his friends).

Provided that each individual got equal ration....

The ration can be divided into two

The numerator = 3

The denominator = 5.

The numerator shows the number of things that were shared.

Hence, 3 apples were shared.

The denominator shows the number of people involved.

Hence, 5 people were involved.

So, we can conclude that 3 apples were divided among 5 people.

Hence, 3 apple pies divided among 5 people.

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Answer:75

Step-by-step explanation:

First solve for x. That will get you 13. Then plug 13 in 8x-29. So you'd multiply 13 times 8. 104 then you have to subtract 29 so you'd get 75. Have a great day

Answer:

no clue im stuck on it to

Step-by-step explanation:

Answer:

No Omar does not have to put the blanket

Step-by-step explanation:

The answer is No ,because since Omar only covers the plant when its below 0 , And when  the temperature is 5 degrees Celsius at 4:00 pm  and the  temperature is predicted to decrease 0.5 degrees Celsius every two hours until 4:00 am.  So 6 times 0.5 =3  so 5 - 3 = 2

Show work

4:00 pm     Fact :  And  very two hrs 0.5 degrees .

5:00 pm 1

6:00 pm 2 = 0.5

7:00 pm 1

8:00 pm  2 = 0.5

9:00 pm 1

10:00 pm 2 =0.5

11:00 pm 1

12:00 pm 2 =0.5

1 :00 Am 1

2: 00 Am 2 =0.5

3:00 Am 1

4:00 Am  2= 0.5

Answer:

c

Step-by-step explanation:

252 = 7 *36

36 = 6 *6 = 6²

a² -b²  = (a + b)(a - b)

7h² - 252k² =  7(h² - 36k²)

                   = 7(h² - [6k]² )

                  = 7(h  +6k)(h - 6k)

Answer:

cccccccccccccccc

Step-by-step explanation:

the probability that he drove the small car is 0.890 (option A).

Using Bayes' theorem to solve the problem given, let us represent the following events:

A: Friend drives the small carB: Friend drives the large carC: Friend is on timeGiven that three-quarters of the time he drives the small car and one-quarter of the time he drives the large car, we can calculate the prior probabilities:

P(A) = 3/4 and P(B) = 1/4.

Also, given that he usually has little trouble parking with probability 0.9 when driving the small car and is on time with probability 0.6 when driving the large car, we can calculate the likelihoods:

P(C|A) = 0.9 and P(C|B) = 0.6

Using Bayes' theorem, we can calculate the posterior probability of driving the small car given that he was on time on a particular morning:

P(A|C) = P(C|A) * P(A) / (P(C|A) * P(A) + P(C|B) * P(B))= 0.9 * 3/4 / (0.9 * 3/4 + 0.6 * 1/4) = 0.890

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Answer:

8 is the atomic number

Step-by-step explanation:

Atomic number = 8  (meaning it has 8 protons in its nucleus)

Atomic weight = 15.999

O = symbol for oxygen

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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Answer:

x=20

Step-by-step explanation:

-12+x=8

Add 12 on both sides (-12 + 12 + x = 8 + 12)

which crosses out -12

and then you get x=20

The number of terms in the Arithmetic Progression is 20 if the sum is 990.

We should know that Arithmetic Progression is a type of sequence in which the difference between consecutive terms are derived from the addition or subtraction of a common tern known as the common difference (d).

The given parameters are

Sum of the Arithmetic Progression (n)=990

Common difference (d) =5

The common difference is derived as follows:

5*0+2=2

5*1+2=7

5*2+2=12

5*3+2=17

d=7-2=12-7=17-12=5

The formed AP is 2,7,12,17,.....

Using the formula

\(S_{n} =\)n/2[{2a+(n-1)d}

Where:

Applying the formula

990=\(\frac{n}{2}\)[2*2(n-1)5]

1980=n[4+5n-5]

1980=4n+5n²-5n

Rearrange the equation

5n²-n-190=0

Solving the equation

\(n=\frac{-b \frac{+}{-}\sqrt{b^{2}-4ac } }{2a}\)

Where

a=5

b=-1

c=-1980

Applying the formula

n=\(\frac{1+199}{10} or \frac{1-199}{10} \\\)

200/10   or -198/10

n=20 or n=-19.8

Taking the positive value of n=20

There the number of terms in the AP is 20

In conclusion, the number of terms in the Arithmetic Progression is 20 if the sum is 990.

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Answer:

$50.91

Step-by-step explanation:

Let T represent the total cost of goods purchased.

Sale tax = 8.25% of total cost of good purchased.

Sales tax = 8.25% of T

Total cost T of goods mike purchased is;

a sweater for 49.95 = $49.95

and two pair of slacksfor 68.59 each = 2 × $68.59

and a suit for 429.99 = $429.99

T = 49.95 + 2(68.59) + 429.99

T = $617.12

And since;

Sales tax = 8.25% of T

Substituting T;

Sale tax = 8.25% of 617.12

Sales tax = 8.25/100 × $617.12

Sales tax = $50.91

Answer:

answer B

Step-by-step explanation:

to find the volume you need to multiply the length x width x height which is 4.2 x 3 x 7 = 88.2

Answer: 3.5

Step-by-step explanation:

Answer:

Peter = 6 kg

Mary = 12 kg

Lucy = 8 kg

Step-by-step explanation:

let us take number of kg's peter took as x

then lets form an expression to find x

let us take mary's chestnuts as = 2x (twice as much as peter)

let us take Lucy's chestnuts as = 2 + x (picked 2 kg more than peter)

so

x + 2x + 2+ x = 26

4x + 2 = 26

4x = 26 - 2

4x = 24

x = 24/4

x = 6

now let us see how much each of them picked while replacing 6 by x

Peter = x

         = 6 kg

Mary = 2x

         = 2(6)

         = 12 kg

Lucy = 2+x

        = 2 + 6

        = 8 kg

now let us cross check to see the answer

6 + 12 + 8

18 + 8

= 26

CROSS-CHECKED

\(f(x) = 4tan(8\pi) + 4sec^2(8\pi)(x - 8\pi) + 8sec^2(8\pi)tan(8\pi)(x - 8\pi)^2/2!\)

This expression represents the first three nonzero terms of the Taylor series expansion for f(x) = 4tan(x) centered at c = 8π.

What is the trigonometric ratio?

the trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

To find the first three nonzero terms of the Taylor series for the function f(x) = 4tan(x) centered at c = 8π, we can use the definition of the Taylor series expansion.

The general formula for the Taylor series expansion of a function f(x) centered at c is:

\(f(x) = f(c) + f'(c)(x - c)/1! + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...\)

Let's begin by calculating the first three nonzero terms for the given function.

Step 1: Evaluate f(c):

f(8π) = 4tan(8π)

Step 2: Calculate f'(x):

f'(x) = d/dx(4tan(x))

= 4sec²(x)

Step 3: Evaluate f'(c):

f'(8π) = 4sec²(8π)

Step 4: Calculate f''(x):

f''(x) = d/dx(4sec²(x))

= 8sec²(x)tan(x)

Step 5: Evaluate f''(c):

f''(8π) = 8sec²(8π)tan(8π)

Step 6: Calculate f'''(x):

f'''(x) = d/dx(8sec²(x)tan(x))

= 8sec⁴(x) + 16sec²(x)tan²(x)

Step 7: Evaluate f'''(c):

f'''(8π) = 8sec⁴(8π) + 16sec²(8π)tan²(8π)

Now we can write the first three nonzero terms of the Taylor series expansion for f(x) centered at c = 8π:

f(x) ≈ f(8π) + f'(8π)(x - 8π)/1! + f''(8π)(x - 8π)²/2!

Simplifying further,

Hence, \(f(x) = 4tan(8\pi) + 4sec^2(8\pi)(x - 8\pi) + 8sec^2(8\pi)tan(8\pi)(x - 8\pi)^2/2!\)

This expression represents the first three nonzero terms of the Taylor series expansion for f(x) = 4tan(x) centered at c = 8π.

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The sample size required to achieve a 99% confidence interval having margin of error 0.02 would be determined by:

\(n=0.2275\times (\frac{2.581}{0.02} )^2\)

We know that the formula to find the sample size , if prior proportion is available :

\(n=p(1-p)(\frac{z_{\alpha/2}}{E} )^2\)

where, Z_α/2 is the critical value of the Normal distribution at α/2,

E is the margin of error,

p is the sample proportion

Here, E the margin of error is 0.02

We know that the alpha(α) level for a 99% confidence level is 0.01

And the critical value for a 99% confidence interval is 2.581

So, \(z_{\alpha/2} = 2.581\)

The proportion of forms with miscalculation is 35%

So, p = 0.35

(1 - p) = 0.65

Using above formula the sample size would be,

\(n=p(1-p)(\frac{z_{\alpha/2}}{E} )^2\\\\n=0.35\times (1-0.35)\times (\frac{2.581}{0.02} )^2\\\\n=0.2275\times (\frac{2.581}{0.02} )^2\\\\n=3771.2\\\\n\approx 3771\)

The sample size is 3771

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