Find the value of x for which / || m

the lower limit of the 90% confidence interval is approximately -65.25, and the upper limit is approximately 13.65.

To construct a 90% confidence interval for the difference between the mean daily calorie consumption of females in September-February (μ₁) and the mean daily calorie consumption of females in March-August (μ₂), we can use the formula:

CI = ([tex]\bar{X_1}[/tex] - [tex]\bar{X_2}[/tex]) ± Z * √((s₁² / n₁) + (s₂² / n₂))

Where:

[tex]\bar{X_1}[/tex] and [tex]\bar{X_2}[/tex] are the sample means of calorie consumption for the two periods.

s₁ and s₂ are the sample standard deviations of calorie consumption for the two periods.

n₁ and n₂ are the sample sizes for the two periods.

Z is the z-score corresponding to the desired confidence level.

Given data:

[tex]\bar{X_1}[/tex] = 2387.1 (mean daily calorie consumption for September-February)

[tex]\bar{X_2}[/tex] = 2412.9 (mean daily calorie consumption for March-August)

s₁ = 210 (standard deviation for September-February)

s₂ = 267.5 (standard deviation for March-August)

n₁ = 260 (sample size for September-February)

n₂ = 300 (sample size for March-August)

Confidence level = 90%

First, we need to find the z-score corresponding to a 90% confidence level. The z-score can be found using a z-table or a calculator. For a 90% confidence level, the z-score is approximately 1.645.

Now, we can substitute the values into the formula to calculate the confidence interval:

CI = (2387.1 - 2412.9) ± 1.645 * √((210² / 260) + (267.5² / 300))

Calculating the values inside the square root:

√((210² / 260) + (267.5² / 300)) ≈ √(342.461538 + 238.083333) ≈ √(580.544872) ≈ 24.107

Substituting the values into the formula:

CI = -25.8 ± 1.645 * 24.107

Calculating the limits of the confidence interval:

Lower limit = -25.8 - 1.645 * 24.107 ≈ -65.246

Upper limit = -25.8 + 1.645 * 24.107 ≈ 13.646

Rounding the values to two decimal places:

Lower limit ≈ -65.25

Upper limit ≈ 13.65

Therefore, the lower limit of the 90% confidence interval is approximately -65.25, and the upper limit is approximately 13.65.

Learn more about confidence interval here

https://brainly.com/question/32546207

#SPJ4

The first movie was ⅔ hours longer than the second one.

The difference in length between the two movies, we need to subtract the length of the second movie from the first.

we need to convert the mixed numbers to improper fractions to make the subtraction easier.

2 ⅓ hours can be written as 7/3 hours.

1 ⅘ hours can be written as 8/5 hours.

Now, we can subtract them

7/3 - 8/5

we need a common denominator. The least common multiple of 3 and 5 is 15.

(7/3) * (5/5) - (8/5) * (3/3) = 35/15 - 24/15 = 11/15

Therefore, the first movie was 11/15 hours (or approximately 44 minutes) longer than the second one

To learn more about hours click brainly.com/question/26345517

#SPJ11

Answer:

39,975

Step-by-step explanation:

There u go

Answer:

39,975

Step-by-step explanation:

Caculater

Answer:

the answer is b

Step-by-step explanation:

i just did the assignment

Answer:

b

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

19654,67397,67923,91945

Step-by-step explanation:

Ascending order mean arrange the number from smaller value to bigger value

Answer:

19654,67397,67923,91945

plz mark me as brainliest

can you show the picture please?

Answer:

1. V=60m³ SA=94m²

2. V=32m³ SA=88m²

3. V=2000mm³ SA=1000mm²

4. SA=376.8cm² V=552.64cm³

5. SA=1130.4cm² V=1356.48mm³

Step-by-step explanation:

1. Volume=5*4*3=60m³

Surface Area=2*(3*4)+2*(5*3)+2*(4*5)=24+30+40=94m²

2. Volume=8*4*1=32cm³

Surface Area=2*(8*1)+2*(8*4)+2*(4*1)=16+64+8=88cm²

3. Volume=10*10*20=2000mm³

Surface Area=2*(10*10)+2*(20*10)+2*(20*10)=200+400+400=1000mm²

4. SA of the cylinder=(2πr*h)+(2*πr²)=(2*(3.14)*4*11)+(2*3.14*16)

=(276.32)+(100.48)=376.8cm²

Volume=hπr²=11*(3.14)*16=552.64cm³

5. SA of cylinder=(2πr*h)+(2*πr²)=(2*(3.14)*12*3)+(2*3.14*144)

=(904.32)+(226.08)=1130.4mm²

Volume=hπr²=3*(3.14)*144=1356.48mm³

Answer:

1

Step-by-step explanation:

put x = 3

8(1/2³) = 8/8 = 1

Answer:

$3000

Step-by-step explanation:

Given data

Rate=5%

Time=3 years

Simple interest= $450

We know that the expression for simple interest is

SI=PRT/100

Substitute

450=P*5*3/100

cross multiply

P*15= 45000

Divide both sides by 15

P= 45000/15

P=$3000

Hence the principal amount is $3000

Answer:

7

Step-by-step explanation:

Answer: your answer is B

Step-by-step explanation:

Im so sorry if im wrong, have a good day!

Answer:

3.14 units squared

Step-by-step explanation:

A = pi r^2

A = pi (1) ^2

A = pi = 3.14

(Radius = diameter / 2)

The given problem involves hypothesis testing in statistics. The correct conclusion will depend on whether the null hypothesis is rejected or not.

(a) The null and alternative hypotheses can be determined as follows: OAH (One-sample test for proportion): P = 0 (H0) versus H P ≠ 0 (HA).

(b) The test statistic, denoted as Zo, needs to be computed using the given sample data.

(c) To determine the P-value, the calculated test statistic is compared to the appropriate distribution (e.g., standard normal distribution) based on the chosen significance level.

(d) Based on the P-value and the predetermined significance level, the null hypothesis is either rejected or not rejected. If the P-value is less than the significance level, the null hypothesis is rejected. Otherwise, the null hypothesis is not rejected.

The conclusion will depend on whether the null hypothesis is rejected or not and should be stated accordingly.

To learn more about the “null hypothesis ” refer to the https://brainly.com/question/4436370

#SPJ11

Answer:

146

Step-by-step explanation:

[tex] = \sqrt{21316 } [/tex]

[tex] = \sqrt{4 \times 5329} [/tex]

[tex] = 2 \sqrt{5329} [/tex]

[tex] = 2 \sqrt{73 \times 73} [/tex]

[tex] = 2 \times 73[/tex]

[tex] = 146[/tex]

Answer : There is enough evidence to suggest that a higher proportion of wives do laundry at home compared to the proportion of husbands who do laundry at home.

Explanation:

The null hypothesis is that the proportion of wives and husbands who do laundry at home is the same. The alternative hypothesis is that the proportion of wives and husbands who do laundry at home is different.

Mathematically, null and alternative hypotheses are given below.                                                                                                   H0: P1 - P2 = 0H1: P1 - P2 ≠ 0 where P1 is the proportion of wives who do laundry at home and P2 is the proportion of husbands who do laundry at home. Let α = 0.01 be the significance level. Therefore, α/2 = 0.005 and the Zα/2 value for the two-tailed test is ±2.58.

The point estimate of the difference in the proportions is:Point estimate,                                                                                    PE = P1 - P2 = (44/66) - (18/46) = 0.6667 - 0.3913 = 0.2754

The standard error of the difference in the proportions is:                                                                                                                 SE = sqrt{(P1(1 - P1)/n1) + (P2(1 - P2)/n2)} = sqrt{[(44/66)(22/66)/65] + [(18/46)(28/46)/45]} = 0.1033

The test statistic is given by:Z = (PE - 0) / SE = 0.2754 / 0.1033 = 2.6641

Since the absolute value of the test statistic is greater than the Zα/2 value, we reject the null hypothesis and conclude that the proportion of wives who do laundry at home is different from the proportion of husbands who do laundry at home at a 1% significance level. Therefore, there is enough evidence to suggest that a higher proportion of wives do laundry at home compared to the proportion of husbands who do laundry at home.

Learn more about Null and alternative hypothesis here https://brainly.com/question/32708325

#SPJ11

The series converges for x values within the interval (-29/7, -27/7), and the radius of convergence is 1/7.

We apply the ratio test to our series:[tex]|7^(^n^+^1^)[/tex] (x + 4)[tex]^(^n^+^1^)^) / √(n+1)] / [( (x +7^n 4))^n\sqrtn]|[/tex]

We take the limit as n approaches infinity:lim(n→∞) |[tex]7(x + 4) / √(n+1)| = |7(x + 4)|[/tex]

For the series to converge, |7(x + 4)| must be less than [tex]1.|7(x + 4)| < 1-1 < 7(x + 4) < 1-1/7 < x + 4 < 1/7-29/7 < x < -27/7[/tex]

In conclusion, the interval of convergence is (-29/7, -27/7), and the radius of convergence is the half-length of the interval, which is 1/7.

learn more about “convergence” at:

https://brainly.com/question/30275628

#SPJ4

Answer:

5

Step-by-step explanation:

Answer: I think the answer would be 1/6

Step-by-step explanation:

If you notice, all of the numbers on the left model are 1/6 less than the one on the left. I don't know what type of answer they are looking for but the one on the left is 1.6 smaller than the one on the right:)

Answer:

6y-6y, cancel it out to find x first.

-5x+6y=41

7x-6y=-43

2x=-2

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

The first step is to add the 2 equations This will eliminate the y terms  

( + 6y + -6y = 0).

So you are then left with 2x = -2

Answer:

b

Step-by-step explanation:

Answer:

The slope is A. 2/3

HOPE THIS HELPS!!!!

Answer: Option C

Step-by-step explanation:

C because 6+1=1+1+1+1+1+1+1

Answer:

C

Step-by-step explanation:

We want to find which model shows two equal expressions. We know that the value of x is 6. That being said, on the left side of each equation, plug in 6 for every "x" you see. Then, add the values on both sides. If they're equal, that's your answer.

For example:

In choice A, we see two x's, so we plug in 6 for them both and add them. That's 12 on the left side. On the other side of the equation, we have 7 "1" boxes, which simply just means add them, so that's 7 on the other side. 12 does not equal 7, therefore A is not the answer. However, for choice C, we are given x, which we know is 6, and a "1" box, which simply means 6 + 1, which is 7. On the other side of this equation, we have 7 "1" boxes, so that's 7. The equation becomes 7 = 7, which is true, so that is our answer.

The law of cosines can be used to find the missing angle when the lengths of three sides of a triangle are known. In this case, we want to find the measure of angle a, so we'll use the formula: cos(a) = (b² + c² - a²) / (2bc)where a is the side opposite angle a, b is the side opposite angle b, and c is the side opposite angle c.

To find angle a, we need to rearrange the formula: cos(a) = (b² + c² - a²) / (2bc)cos(a) = (7² + 13² - 10²) / (2 * 7 * 13)cos(a) = 0.81923077a = cos⁻¹(0.81923077)a ≈ 34.2°Therefore, m∠a is approximately 34.2 degrees.

When either the lengths of the two sides and the measure of the included angle (SAS) or the lengths of the three sides (SSS) are known, the Law of Cosines is used to determine the remaining parts of an oblique (non-right) triangle.

The square of a side of an oblique triangle is equal to the sum of the squares of the other two sides minus twice the product of the two sides if A, B, and C are the measures of the angles of the triangle and a, b, and c are the lengths of the sides opposite the corresponding angles.

Know more about law of cosines:

https://brainly.com/question/30766161

#SPJ11

Answer:

100 more silver cars

Step-by-step explanation:

Right now the ratio of silver cars to green cars is 20:40 or 1:2, but if you add a hundred more silvers cars the ratio would 120:40 or 3:1.

El ejercicio completo con las opciones de respuesta está a continuación:

Los primeros días de enero el representante  del mercado recibió cierta cantidad de dinero,hizo una operación y se dio cuenta que habían pagado 15 personas,cómo puede saber la cantidad recibida?

a.Multiplicando el dividendo por el divisor

b. Sumando el dividendo con el cociente y el residuo

c.Multiplicando el divisor por el cociente y sumando el residuo

d.Multiplicando el dividendo por el cociente y sumando el residuo

Answer:

La opción c es la respuesta correcta

Step-by-step explanation:

El valor de 15 corresponde al cociente es decir al total de personas que pagaron;el ejercicio nos da el valor del divisor que es 425 ; para saber cual es la cantidad exacta recibida debemos multiplicar el divisor por el cociente y si hay residuo sumarlo; el ejercicio nos queda de la siguiente manera:

425 x 15 = 6.375 (la cantidad recibida fue de 6.375)

[tex]\frac{6375}{425}[/tex] = 15 (comprobación de la división para obtener el cociente con valor de 15)

Answer:

the tree is 8ft long

Step-by-step explanation:

beans

Answer:

Explanation:

292/100×9.9 = 2.92×9.9 = 28.908

30 is closest to 28.908

The mean squares within is 0.7130044843.

The formula to calculate the mean squares within is given below:

Mean squares within (MSW) = SSW / (n - k), where n = Total number of observations, k = Total number of groups.

Here, Number of participants = 274, Number of groups = 5, SSD = 1, SSW = 192.

Now, the value of n and k can be calculated using the formula given below:

n = Number of participants = 274, k = Number of groups = 5.

Let's substitute the values in the formula of mean squares within:

Mean squares within (MSW) = SSW / (n - k)

MSW = 192 / (274 - 5)

MSW = 192 / 269

MSW = 0.7130044843

Hence, the mean squares within is 0.7130044843.

To know more about mean, visit the link : https://brainly.com/question/20118982

#SPJ11

To prove that a single point {a} is a closed set in Rⁿ, we need to show that its complement, denoted as Rⁿ \ {a}, is open.

Let's consider an arbitrary point x in the complement Rⁿ \ {a}. Since x is not equal to a, there exists a positive radius r such that the open ball B(x, r) centered at x with radius r does not contain a.

Now, let's show that B(x, r) is entirely contained within Rⁿ\ {a}. We need to demonstrate that for any point y in B(x, r), y is also in Rⁿ \ {a}.

If y is equal to x, then y is not equal to a since a is excluded from Rⁿ \ {a}. Therefore, y is in Rⁿ\ {a}.

If y is not equal to x, then we can consider the distance between y and a. Since y is in B(x, r), we have:

d(y, x) < r

However, since a is not in B(x, r), we have:

d(a, x) ≥ r

Now, let's consider the distance between y and a:

d(y, a) ≤ d(y, x) + d(x, a) < r + (d(a, x) - r) = d(a, x)

Since d(y, a) is strictly less than d(a, x), it follows that y is not equal to a. Therefore, y is in Rⁿ \ {a}.

This shows that for every point x in Rⁿ \ {a}, there exists an open ball B(x, r) that is entirely contained within Rⁿ \ {a}. Hence, Rⁿ\ {a} is open.

By the definition of a closed set, if the complement of a set is open, then the set itself is closed. Therefore, a single point {a} is a closed set in Rⁿ.

The question should be:

Prove that in Rⁿ , a single point {a} is a closed sets.please write your answer in detail

To learn more about set: https://brainly.com/question/13458417

#SPJ11