Which statement about the solution to the system and its justification is true? Please help!!

Answer:

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.761

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.761\frac{345}{\sqrt{15}} = 157[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6784 - 157 = 6627

The upper end of the interval is the sample mean added to M. So it is 6784 + 157 = 6941

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.

To find the rate, you must divide the distance traveled by the time it took.

17.5 m is the distance while time it took was 5 seconds.

So,

17.5 ÷ 5 = 3.5 m/s

The rate of the anchor is 3.5 m/s

Note: I did not ignore the negative sign in the distance but rather acknowledged it as a magnitude. This meant that the anchor was dropping down instead of going up.

Answer:

45/4

Step-by-step explanation:

15x/8

15(6)/8

90/8

simplify

45/4

Answer:

[tex]368.54 = 3*100 + 6.8*10 +5*1/10 + 4*100[/tex]

Step-by-step explanation:

Given

[tex]368.54 = ( [\ ] * 100) + ( [\ ] * 10) + ( [\ ] * 1/10) + ( [\ ] * 1/100)[/tex]

Required

Fill in the gap

The number can be expressed as:

[tex]368.54 = 300 + 60 + 8 +0.5 + 0.04[/tex]

Factorize:

[tex]368.54 = 3*100 + 6*10 + 0.8*10 +5*1/10 + 4*100[/tex]

Factor out 10 in 6 * 10 + 0.8 * 10

[tex]368.54 = 3*100 + [6 + 0.8]*10 +5*1/10 + 4*100[/tex]

[tex]368.54 = 3*100 + 6.8*10 +5*1/10 + 4*100[/tex]

Solved

Answer:

TALA RHYTHMIC PATTERNS

ACTIVITY 2: LET'S DO TALA

kind of membranophones/percussion instruments found at home for tapping. Record your

Directions: Perform the following tala rhythmic patterns using the given legend. Use any

performance using any recorder and send it to your

INSTRUMENTS AT HOME

MANJIRA

TIN CANS

1 2 3 4 5 6

х

1 2 3 4 5 6 7 8 9 10 11 12

GHATAM

PAL

X

х

0 X

TABLA

1 2 3 4 5 6 7 8 9 10

BOX

x xox

Answer:

a) 100% = 20 squares

b) 120% = 24 squares

Answer:

4,596

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

have a great day :D

Answer:

5x+4y=3

- 4x+3y=2

-----------------

x+y=1

Add the top and bottom together, divide by 2 then multiply by the height.

20 + 30 = 50

50/2 = 25

25 x 15 = 375

The area is 375 square inches.

0.60 km which I got from https://quizizz.com

Answer:

The number of seconds required to complete 7 revolutions is 236.28 s.

Step-by-step explanation:

Given;

speed of the point on the wheel, ω = 32π/9 rad/min

number of revolutions made by the point, θ = 7 rev

The time taken for the point to make 7 revolutions is calculated as follows;

1 rev = 2π rad

[tex]time (t) = \frac{\theta }{\omega} = \theta \ \times \frac{1}{\omega} \\\\t = (7 \ rev \ \times \frac{2 \pi \ rad}{1 \ rev} ) \ \times (\frac{1}{32 \pi/9 \ \frac{rad}{\min} } )\\\\t = (7 \times 2\pi \ \ rad) \times (\frac{9}{32 \pi }\frac{\min}{rad}) \\\\t = 14 \pi \ (rad) \ \times \ \frac{9}{32 \pi}\ (\frac{\min}{rad} )\\\\t = \frac{14 \times 9}{32} \ \min\\\\t = 3.938 \ \min\\\\t = 3.938 \ (\min) \times \frac{60 \ s}{1 \ \min} \\\\t = 236.28 \ s[/tex]

Therefor, the number of seconds required to complete 7 revolutions is 236.28 s.

If you need to round up to the nearest tenth for this question, you'd put 236.3  
:))

Answer:

B:21.6

Step-by-step explanation:

12²+18²=C

144+324=468

V468=21.6

Answer:

B 21.6

Step-by-step explanation:

You can solve this using the Pythagorean theorem:

h² = l² + w²

h² = 18² + 12²

h² = 324 + 144

h² = 468

h = √468

h ≈ 21.6

Answer:

VC & WC

Step-by-step explanation:

It's going to be the sides opposite the equal angles.

Answer:

Step-by-step explanation:

Alyssa will correctly label the numbers 48.8 48 48.09 and 48 on the number line below Which number will be located closest to 48

Answer:

the answer is (6*10^6)

Step-by-step explanation:

Multiply the beginning numbers and add the exponents.

Answer:

1 1/8

Step-by-step explanation:

Answer:

4(9 – c)

36 – 4c

Step-by-step explanation:

An example of two equivalent expressions includes the general expression and then the one that is factored.

Answer:

y=10 x=4

Step-by-step explanation:

Answer:

78.125

Step-by-step explanation:

0.32*x = 25

x = 25/0.32 = 78.125

Answer:

78.125

Step-by-step explanation:

Let the number be Y

32% of Y = 25

32/100 x Y = 25

32Y = 25x100

32Y = 2500

divide both sides by 32

Y = 2500/32

Y = 78.125

Answer:

w=A

l=36.75

15=2.45ft

Step-by-step explanation: there you go :>

Answer:

2.45ft

Step-by-step explanation:

w=A

l=36.75

15=2.45ft

Answer:

a. 5 + 8x

b. 7x + 1

Step-by-step explanation:

3 + 4x + 2 + 2x + 2x

5 + 4x + 2x + 2x

5 + 8x

8x + 4 - 3 - x

7x + 4 - 3

7x + 1

Answer:

Step-by-step explanation:

You want an equation for the line of slope 1 that passes through (4,5)?

Point-slope equation:

y-5 = 1(x-4)

in slope-intercept form:

y = x+1

Answer:

X n Y , X n Y

Step-by-step explanation:

1) Use Associative law:

X n (X n Y) =  (X n X) n Y

Idempotent law:

= X n Y

2) it is in the 'distributed' form, thus we need to reverse the distribution,

akin to 'factorization':

(X n Y) u (X n Y) = (X n (Y u Y))

which can be further simplified using idempotent law:

= X n Y