find the volume of this cylinder. geometry help

Answer:

The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is

contained by the interval (0.54 , 5.18)

Step-by-step explanation:

Given that:

for women

sample size  = n₁ = 16

sample mean [tex](\bar X_1)[/tex] = 24.75

standard deviation s₁ = 2.84

for men

sample size for men = n₂ = 7

sample mean [tex](\bar X_2)[/tex] = 21.89

standard deviation s₂ = 3.29

degree of freedom = [tex](n_1 + n_2 )-2[/tex]

= 16 + 7 -2

= 21

The critical value for [tex]\alpha = 0.1 \ and \ df \ of \ 21 \ is :[/tex]

[tex]t_{0.005;21}= 1.721[/tex]

The pooled standard deviation can be calculated as follows since the population variances are assumed to be equivalent.

[tex]s_p = \sqrt{\dfrac{(n_1 -1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}[/tex]

[tex]s_p = \sqrt{\dfrac{(16 -1)2.84^2+(7-1)3.29^2}{16+7-2}}[/tex]

[tex]s_p = \sqrt{\dfrac{(15)8.0656+(6)10.8241}{21}}[/tex]

[tex]s_p = 2.976[/tex]

The standard error is estimated as follow:

[tex]se = s_p\sqrt{\dfrac{1}{n_1} + \dfrac{1}{n_2}}[/tex]

[tex]se = 2.976\sqrt{\dfrac{1}{16} + \dfrac{1}{7}}[/tex]

se = 1.348

Finally, the confidence interval [tex]C.I = ( x_1 -x_2 -t_c \times se \ \ ; \ \ x_1-x_2 +t_c \times se)[/tex]

[tex]=(24.75 - 21.89 -1.721 \times 1.348 \ \ , \ \ 2475 - 21.89 + 1.721 \times 1.348) \\ \\ \mathbf{ = (0.54 \ \ , \ \ 5.18)}[/tex]

Answer:

x=8

y=1

the point would be at (8,1)

Answer:

27 cubic units

Step-by-step explanation:

A cube has equal dimensions. So the volume is 3units × 3units × 3units or 27cubic units

Answer:

she spend one hour and 43 minutes reading

Step-by-step explanation:

hope you have a great day kee learning

2) 4

Hope this helps :T

The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes

We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.

Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;

5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10

⇒ 5.39 * 10000000

⇒ 53,900,000 metric tonnes

The complete question is;

The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation

Read more about Standard notation at; https://brainly.com/question/5756316

#SPJ1

Answer:

∝∦⊄↑∫∫π≡³≥α㏑∩⊃∞

Step-by-step explanation:

Answer:

Mr. adhakari deposited a sum of RS 2400 in a bank at 5% per year simple interest. how much interest would he get at the end of 4 year ?​ - 480 rs

Answer:

Step-by-step explanation:

F(x) = 2 - x²

835.71$

Step-by-step explanation:

is the answer just done it

Answer:

X=4

Step-by-step explanation:

2(2x-4)+4=12

4x-8+4=12

4x-4=12

4x-4+4=12+4

4x=16

x=4

Answer:

h = 2 ft

Step-by-step explanation:

V = lwh

144 = (9)*(8)*(h)

144 = (72)*h

h = 144/72

h = 2 ft

Answer:

15ft³

Step-by-step explanation:

9514 1404 393

Answer:

  53

Step-by-step explanation:

Their average is the sum divided by 2: 108/2 = 54. This average is the even number between the two odd numbers of interest.

The smaller number is 53.

Answer:

82+2>34

84>34

True

I hope this helps :)

Answer: the fountain is located at point (-1,-0.5)

Step-by-step explanation:

Answer: (-1 , -0.5)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

you would first have to put the numbers into this equation

180=(6x-8)+38+60

now you have to solve for x

180=(6x-8)+98

82=6x-8

100=6x

15=x

x=15

hope this helps! have a nice day :)

Answer:

its c

Step-by-step explanation:

because every angle in a acute triangle has to be less than 90 and the other two look bigger than angle x

Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

Answer:

what

Step-by-step explanation:

Answer:

im confused

Step-by-step explanation:

Answer:

Step-by-step explanation:

x(x+8) = 450

x² + 8x - 450 = 0

Quadratic formula:

x = [-8±√(8²-4(1)(-450))]/[2(1)]

= [-8±2√466]/2

= -4±√466

≅ 17.59, -25.59

-25.59 is an extraneous solution, so x ≅ 17.6 inches.

The dimensions of the blackboard are 17.59 inches by 25.59 inches  

Answer:

33%

Step-by-step explanation:

Answer:

a) 11/7 pages or about 1.57

b) 23/11 dollars or 2.09090909....... (goes on forever)

BRAINLIEST PLS

Answer:

14 x 6.9 x 8 = 56

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

A closed circle means the number is included in the equation / solution. An open circle means it is not. The problem says greater than or equal to 36 inches tall which means that circle should be closed. And less than 48 inches. It does not say anything about being equal when it states the 48 inches so that one should be open.

Answer:The answer is D

Step-by-step explanation: Mark me brainliest please

Answer:

y=5x

Step-by-step explanation:

first, we know that a rising line's slope is always positive, so the first one is incorrect

let's figure out the slope: y-y'/x-x' is the formula.

now, -5-5/-1-1= -10/-2= 5. so the slope of this line is 5.

Answer:

5.7 m is the answer

Step-by-step explanation:

a = 7m

b = ?

c = 9m

According to the Pythagorean theorem,

a² + b² = c²

7² + b² = 9²

49 + b² = 81

b² = 81 - 49

b² = 32

b = 5.656

Round to the nearest tenth,

b = 5.7 m