A zookeeper took a random sample of 30 days and observed how much food an elephant ate on each of those days. The sample mean was 350 kg and the sample standard deviation was 25 kg. Find the 95% confidence interval for how much food the elephant eats.

Answers

Answer 1

Answer:

341.95≤x≤358.95

Step-by-step explanation:

The confidence interval formula is expressed as;

CI = xbar±(z×s/√n)

xbar is the mean sample

s is the standard deviation

z is the z score at 95% confidence interval

n is the sample size

xbar = 350kg

z = 1.96

s = 25kg

n = 30

Substitute

CI = 350±(1.96×25/√30)

CI = 350±(1.96×4.564)

CI = 350±(8.946)

CI = (350-8.946, 350+8.946)

CI = (341.05, 358.95)

Hence the 95% confidence interval for how much food the elephant eats us 341.95≤x≤358.95


Related Questions

Which relation is a function?

Answers

Answer:

the third one cause of it's inputs

What is the following product?

Answers

Answer:

The third one.

Step-by-step explanation:

Pls respond algebra 1 super easy!! thank you!!

Answers

I think you have to like find the median and then you have to see if the mean is more

Which equation and solution represents the statement shown?
A number x increased by 4 is equal to 6.5.

Answers

Answer:

I believe the answer is

x + 4 = 6.5

-4 -4

__________

x = 2.5

Step-by-step explanation:

hope this helps!

plz help plz plz help plz ​

Answers

Answer:

2.75

Step-by-step explanation:

HELP!!!!


Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(2, 19) (6, 99) (-1, 1)

Answers

Answer:

The equation for the parabola is [tex]y = 2\cdot x^{2}+4\cdot x +3[/tex].

Step-by-step explanation:

Let be [tex]P(x,y) = (2, 19)[/tex], [tex]Q(x,y) = (6,99)[/tex] and [tex]R(x,y) = (-1, 1)[/tex] and quadratic regression is represented by a second-order polynomial of the form:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex] (1)

Where:

[tex]x[/tex] - Independent variable

[tex]y[/tex] - Dependent variable

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Coefficients

Algebraically speaking, we need three distinct points on plane to determine the quadratic regression. By using all information, we form the following system of linear equations:

[tex]4\cdot a +2\cdot b + c = 19[/tex] (2)

[tex]36\cdot a + 6\cdot b + c = 99[/tex] (3)

[tex]a -b + c = 1[/tex] (4)

The solution of this system is: [tex]a = 2[/tex], [tex]b = 4[/tex], [tex]c = 3[/tex]. Hence, the equation for the parabola is [tex]y = 2\cdot x^{2}+4\cdot x +3[/tex].

operaciones atrás de esta hoja.
1. En el laboratorio de ciencias, José y su equipo realizaron un experimento: en una pecera cúbica. La llena
ron de agua hasta donde marca el dibujo, luego introdujeron una naranja. Al hacerlo observaron que
volumen del agua subla hasta el ras de la pecera. Responde.
Contesta las siguientes preguntas
LOI QUBAPRENDY
30 cm
25 cm
30 cm
30 cm
.
¿Cuál es el volumen de la naranja?
• ¿Cómo obtuviste este dato?
• ¿Cuál era el volumen del agua antes de introducir la naranja?
• ¿Cuál era el volumen del agua después de introducir la naranja?
Justifica tu respuesta.

Answers

Answer:

Que

Step-by-step explanation:

i speak english

Need help badlyyyyyy

Answers

Answer:

29 degree

because it is a linear pair and sum of Lanier pairs is 180 degree so one value is give and the other value we have to find by subtracting 151 from 180

mark me as the brainliest

6 Luiz, Seth and Fran share £1440 in the ratio 3:5:7. Fran splits her share with her sister Ali in the ratio 4:1.
a) How much does each person end up with?
b) Find the ratio of the amount that Fran ends up with to the amount that Seth ends up with.
Give your answer in its simplest form.

Answers

Answer:

A) £1440 in the ratio of 3:5:7 is - £288: £480: £672

After Fran gives her sister Ali a share in the ratio 4:1, Fran was left with £537.60 and her sister was left with £134.40

B) Fran to Seth = £537.60: £480 → £28: £25

Step-by-step explanation:

To find 1 part of £1440 in the ratio of 3:5:7 you have to add 3+5+7= 15

Then you divide £1440 by 15 which is = £96

Next you take 96 and times it by 3 then 5 then 7 and put it in the ratio 3:5:7= £288: £480: £672

To find out how much Fran and her sister Ali end up with you have to add 4 & 1 = 5

Then divide Fran’s share, £672, by 5= £134.40

£134.40 is Ali’s share and now we need to find Fran’s by multiplying £134.40 by 4 which is= £537.60

F: A = £537.60: £134.40

As we now know Fran is left with £537.60 and we have to put that into a ratio with what Seth has. Earlier we found out that Seth has a total of £480 from the original share (£1440). If we put this knowledge into a ratio it becomes:

£537.60: £480

But we need to simplify them. So we need to change the values to whole number.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places. We then have: 480: 537.6 = 4800: 5376

Try to reduce the ratio further with the highest common factor (HCF). The HCF in our case is 192.

We need to divide both terms by the HCF:

4800 ÷ 192= 25

5376 ÷ 192= 28

Answer:

Step-by-step explanation:

Since we don't know how much each one of them gets, we will call that unknown amount x. Luiz gets 3x of the total amount, Seth gets 5x of the total amount, and Fran gets 7x of the total amount. The total amount is 1440, so the equation to find out how much that unknown amount x is looks like this:

3x + 5x + 7x = 1440 and

15x = 1440 so

x = 96.

That means that Luiz gets 3(96) = 288,

Seth gets 5(96) = 480,

and Fran gets 7(96) = 672. But Fran shares her portion in the ratio 4:1 with her sister. That's a separate equation that looks like this:

4x + 1x = 672 and

5x = 672 so

x = 134.40

That means that Ali gets 134.40, leaving Fran with 537.60.

That answers a. Now for b, the ratio of Fran's portion (what she's left with, at least) to Seth's is the fraction

[tex]\frac{537.60}{480}=\frac{28}{25}[/tex] or in decimal form, 1.12

pls answer quickly!!!!!!!!! first one to answer CORRECTLY gets brainliest!!!!!

Answers

Answer:

A, B, C, D

Step-by-step explanation:

If it is wrong, then remove the C because i am not too sure about that

I believe it’s c and d

3 Which of the following numbers would be found
to the right of the number - 35 on a number line?
Select two that apply.
A. -25
B. -79
C. -36
D. -12
Helppppp

Answers

A and D are the correct answers because they are larger than -35 thus making it to the right of it.

N-u=n+hx solve for x

Answers

Answer:

take a look at the explanation

-u divided by h

An architect increases the radius of a circle window by 20 percent. By what percent
did the area of the circle window increase?

Answers

Answer: 44%

Step-by-step explanation:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

If we increase the radius by 20%, the new radius will be:

R´ = R + 0.20*R = 1.20*R

The new area will be:

A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2

   = 1.44*pi*R^2

And pi*R^2 = A, the original area, then_

A´ = 1.44*A = A + 0.44*A

This means that the percentage in which the area increased is:

0.44*100% = 44%

Answer:

Step-by-step explanation:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

If we increase the radius by 20%, the new radius will be:

R´ = R + 0.20*R = 1.20*R

The new area will be:

A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2

= 1.44*pi*R^2

And pi*R^2 = A, the original area, then_

A´ = 1.44*A = A + 0.44*A

This means that the percentage in which the area increased is:

0.44*100% = 44%

Simplify. Rationalize the denominator. 9/ 5 + √3

Answers

Step-by-step explanation:

To rationalize this, Multiply both numerator and denominator by the conjugate of the denominator

The conjugate of the denominator is 5-√3

9(5-√3)/(5+√3)(5-√3)

=45-9√3/22

Clarence repairs transmission in a workshop in his backyard . He has already repaired eight transmissions the graph in the figure above shows his repair plan . How many more transmissions will he repair if he works for the next 6 days

Answers

Assuming that Clarence repaired the eight transmissions using 2 days, he will likely repair 24 transmissions if he works for the next 6 days.

What is a proportion?

A proportion shows the relationship between two or more ratios or quantities.

Data and Calculations:

Number of transmissions repaired in 2 days = 8

Number of days to repair more transmissions = 6

Estimated number of transmissions to be repaired = 24 (8/2 x 6)

Question Completion:

Since the graph was not showed, it is assumed that Clarence completed repairing the 8 transmissions in 2 days.

Thus, assuming that Clarence repaired the eight transmissions using 2 days, he will likely repair 24 transmissions if he works for the next 6 days.

Learn more about proportions at https://brainly.com/question/870035

#SPJ1

Find the cost per gallon. 8 gallons of gas for $28.48.
A. $3.50
B. $3.56
C. $3.05
D. $3.65​

Answers

Answer:

B. $3.56

Step-by-step explanation:

You take $28.48 and divide it by 8

28.48 / 8 = 3.56

/ = divide

Is b.$3.50
Cuz I said so u can get it right bro

Every quadratic function has one or more x-intercepts.
True or False

Answers

Answer:

False

Explanation:

Quadratic functions can sometimes even have only one or NO x-intercepts.

So the answer is false.

Hope this is correct, have a great day!

2. John earns a 3% commission for every car he sells. Today he sold a car for $13,600. How much commission did he receive? (To find commission you just change your percent to a decimal and multiply it times the sales.)

Answers

Answer:

$408

Step-by-step explanation:

Find 3% of $13,600:

3 * 13,600 / 100 = $408

What is the answer to this question?

Answers

Answer:

[tex]\boxed{\pink{\sf Option \ (1) \ is \ correct . }}[/tex]

Step-by-step explanation:

Given function to us is ,

[tex]\implies y = 5x^2 + 10 [/tex]

And, we need to find the inverse of the equation.

So , for that firstly replace x with y . The equation becomes

[tex]\implies x = 5y^2 + 10 [/tex]

Now , next we need to solve for y .

[tex]\implies x = 5y^2 + 10 \\\\\implies 5y^2 = x - 10 \\\\ \implies y^2 = \dfrac{x-10}{5} \\\\\implies y = \sqrt{\dfrac{x-10}{5}} [/tex]

Now , replace y for [tex]f^{-1}(x)[/tex]

[tex]\underline{\boxed{\orange{\tt \implies f^{-1}(x) = \pm\sqrt{\dfrac{x-10}{5}}}}}[/tex]

As per the options provided in Question we can that option (1) mathces with our answer when we just interchanged the variables.

Hence option (1) is correct.

Construct a radical function whose domain is all real numbers. Provide evidence as to why the domain of your radical function is
all real numbers

Answers

Answer:

Cube root function

Step-by-step explanation:

Examples of radical functions:

y = √x and y = ∛x

The first one undefined when the domain is negative

The second one is defined at any value of domain, so it includes all real numbers

Based on a sample of 150 textbooks at the store, you find an average of 70.69 and a standard deviation of 29.6. The point estimate is: Incorrect (to 3 decimals) The 99 % confidence interval (use z*) is:______

Answers

Answer:

Step-by-step explanation:

Given that:

The sample size = 150

The sample mean = 70.69

The standard deviation = 29.60

The sample mean is equal  to the point estimate of the population = 70.69

At 99% confidence interval level is:

∝ = 1 - 0.99

∝ = 0.01

The critical value:

[tex]Z_{\alpha/2} = Z_{0.01/2} \\ \\ Z_{0.005} = 2.58 \ using \ Z \ tables[/tex]

The Margin of error = [tex]Z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]= 2.58 \times \dfrac{29.6}{\sqrt{150}}[/tex]

= 2.58 × 2.4168

≅ 6.235

At 99% confidence interval; the estimate of the population mean lies within the interval:

= [tex]\overline x - E < \mu \ < \overline x + E[/tex]

= 70.69 - 6.235 < μ <  70.69 + 6.235

= 64.455  < μ < 76.925

= (64.455 , 76.925 )

12+2(6 divided by 2/3) + 3.75

Answers

Answer:

33.75

Step-by-step explanation:

The temperature outside Monday morning was -14. On Tuesday morning it was 4 degrees colder. Create an equation to show temperature on Tuesday morning

Answers

Answer:

Temperature on Tuesday morning is [tex]-18^{o}[/tex].

Step-by-step explanation:

Temperature is the measure in degrees how cold or hot a substance is. The three scale of measurements are: Celsius, Fahrenheit, and Kelvin.

In the given question, temperature on Monday morning is -14 degrees. Since it was given that the temperature on Tuesday morning is 4 degrees colder than that of Monday, then;

Temperature on Tuesday = -14 + (-4)

                                          = -14 -4

                                          = -18

Therefore, the temperature on Tuesday morning is [tex]-18^{o}[/tex].

If NASA scientists use positive and negative numbers to represent the time surrounding a rocket launch, what would zero mean? one hour before take-off two minutes before take-off the moment of take-off two minutes after take-off \

Pls help me im on a quiz

Answers

The moment of take off

Answer:

c

Step-by-step explanation:

multiply 7/15 ,a 2 what is
answer

Answers

I also used a calculator and got what the person above me got

whats 5-1
hope you have a great day
and here is 10 coins :)
also ( you dont have to answer correctly either)

Answers

5-1=4. When you take away 5 from 1 you get 4

A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter​

Answers

Answer: The cost is $600

Step-by-step explanation: The wall is a rectangle whose area is calculated as:

S = 8.5 x 2

S = 17

However, there is a door on the wall which won't be whitewashed so:

Area of door:

[tex]S_{d}[/tex] = 2 x 1

[tex]S_{d}[/tex] = 2

Whitewashed area will be

S - [tex]S_{d}[/tex] = 17 - 2

S - [tex]S_{d}[/tex] = 15m²

To whitewash the wall, it costs $40 per each m², so:

Cost = 15*40

Cost = 600

To whitewash the wall, it will cost $600.

Please I need help !!!!

Answers

Answer:

The first one is c the second is b

Hey I Need Help With This. What Is the answer?

Answers

Answer:

22%

Step-by-step explanation:

out of 100, 22 boxes are shaded

3/5 divided by 1/4 Pleaseeee I need it quickly

Answers

Answer: 2.4

Step-by-step explanation:

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